{
  "schema": "ac29-native-production-v1",
  "environment": "v26.11.1",
  "geometry": [
    {
      "massRatio": 2.809329307516281,
      "l1": 0.3418593722562008,
      "criticalPotential": 1.9422223589781433,
      "volumeRadius": 0.47258206584954865,
      "logarithmicResponse": 0.18963356642423077,
      "fittedRadius": 0.47024157929238336,
      "fittedLogarithmicResponse": 0.18876564022910702,
      "numericalResponseHull": [
        0.18963347982316303,
        0.1896336530252985
      ],
      "relativeRadiusRefinement": 9.233936468788784e-07,
      "responseRefinement": 8.660106773361598e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.431502031441952,
      "l1": 0.2987897968095822,
      "criticalPotential": 1.9563371145921276,
      "volumeRadius": 0.45960469248252656,
      "logarithmicResponse": 0.1959177575121421,
      "fittedRadius": 0.4574010541493986,
      "fittedLogarithmicResponse": 0.19458922888253327,
      "numericalResponseHull": [
        0.19591767044529848,
        0.19591784457898573
      ],
      "relativeRadiusRefinement": 9.35940553947745e-07,
      "responseRefinement": 8.706684362369543e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 7.963515608135082,
      "l1": 0.5874033072353035,
      "criticalPotential": 1.8141942287833326,
      "volumeRadius": 0.5622217354341861,
      "logarithmicResponse": 0.14392345644922339,
      "fittedRadius": 0.5598485844167064,
      "fittedLogarithmicResponse": 0.1460111391999156,
      "numericalResponseHull": [
        0.14392338313816921,
        0.14392352976027756
      ],
      "relativeRadiusRefinement": 8.387966763390153e-07,
      "responseRefinement": 7.3311054171743e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.07820728451863208,
      "l1": -0.6640524253179629,
      "criticalPotential": 1.7549862297372258,
      "volumeRadius": 0.1910131175960578,
      "logarithmicResponse": 0.29730802774192333,
      "fittedRadius": 0.19239999038620925,
      "fittedLogarithmicResponse": 0.2952249009965706,
      "numericalResponseHull": [
        0.29730800372946037,
        0.2973080517543863
      ],
      "relativeRadiusRefinement": 1.145008695413452e-06,
      "responseRefinement": 2.4012462962463843e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.5774066964550824,
      "l1": -0.19018721955289053,
      "criticalPotential": 1.9826743106573432,
      "volumeRadius": 0.3325792072033853,
      "logarithmicResponse": 0.25144502753345954,
      "fittedRadius": 0.3325072744006672,
      "fittedLogarithmicResponse": 0.24701582681575857,
      "numericalResponseHull": [
        0.25144495750380524,
        0.25144509756311384
      ],
      "relativeRadiusRefinement": 1.0532391887529968e-06,
      "responseRefinement": 7.002965429769858e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 7.005440326203704,
      "l1": 0.563250045658886,
      "criticalPotential": 1.8308266839871854,
      "volumeRadius": 0.5517497614436326,
      "logarithmicResponse": 0.14944307575936622,
      "fittedRadius": 0.5492837754064477,
      "fittedLogarithmicResponse": 0.15124262468660732,
      "numericalResponseHull": [
        0.14944300010599437,
        0.14944315141273806
      ],
      "relativeRadiusRefinement": 8.483454729812934e-07,
      "responseRefinement": 7.565337184489707e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.2369044599695482,
      "l1": 0.2730014182680759,
      "criticalPotential": 1.9637589281094807,
      "volumeRadius": 0.4520866573288865,
      "logarithmicResponse": 0.1995133436854928,
      "fittedRadius": 0.4499738661087494,
      "fittedLogarithmicResponse": 0.19792232059908565,
      "numericalResponseHull": [
        0.19951325653744423,
        0.1995134308335414
      ],
      "relativeRadiusRefinement": 9.432077050508525e-07,
      "responseRefinement": 8.714804858311886e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.9058527512191026,
      "l1": -0.034876407729963727,
      "criticalPotential": 1.9994253308760825,
      "volumeRadius": 0.371174351505187,
      "logarithmicResponse": 0.2358478289353465,
      "fittedRadius": 0.3703925653935239,
      "fittedLogarithmicResponse": 0.23195441046684795,
      "numericalResponseHull": [
        0.23584774980186224,
        0.23584790806883077
      ],
      "relativeRadiusRefinement": 1.019557825943096e-06,
      "responseRefinement": 7.913348426535904e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.2821366927511475,
      "l1": 0.3858591230910341,
      "criticalPotential": 1.925470018724408,
      "volumeRadius": 0.48647143811655386,
      "logarithmicResponse": 0.18280375996969173,
      "fittedRadius": 0.4840155602746254,
      "fittedLogarithmicResponse": 0.1824332588342869,
      "numericalResponseHull": [
        0.18280367431304995,
        0.1828038456263335
      ],
      "relativeRadiusRefinement": 9.09990607089739e-07,
      "responseRefinement": 8.565664177950794e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.0483294754649126,
      "l1": 0.24509727074742382,
      "criticalPotential": 1.9709541456094473,
      "volumeRadius": 0.4441387699539636,
      "logarithmicResponse": 0.20327730377752545,
      "fittedRadius": 0.4421303901670909,
      "fittedLogarithmicResponse": 0.2014138640289143,
      "numericalResponseHull": [
        0.20327721669630391,
        0.203277390858747
      ],
      "relativeRadiusRefinement": 9.508809126757001e-07,
      "responseRefinement": 8.708122153922027e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.739869886129202,
      "l1": 0.3345431763720529,
      "criticalPotential": 1.9447756661649187,
      "volumeRadius": 0.47033733857864546,
      "logarithmicResponse": 0.19072741989873934,
      "fittedRadius": 0.46801860810484935,
      "fittedLogarithmicResponse": 0.189779349919663,
      "numericalResponseHull": [
        0.19072733318795065,
        0.19072750660952803
      ],
      "relativeRadiusRefinement": 9.255631359117444e-07,
      "responseRefinement": 8.671078868816018e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.651893299940903,
      "l1": -0.1492691292769358,
      "criticalPotential": 1.9893856125423348,
      "volumeRadius": 0.3427992671931029,
      "logarithmicResponse": 0.24743449672732554,
      "fittedRadius": 0.3425428671120588,
      "fittedLogarithmicResponse": 0.24310166503319763,
      "numericalResponseHull": [
        0.24743442400574137,
        0.2474345694489097
      ],
      "relativeRadiusRefinement": 1.0445773988010387e-06,
      "responseRefinement": 7.272158417115371e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.4494055768639298,
      "l1": -0.27135281519636034,
      "criticalPotential": 1.9642079124995422,
      "volumeRadius": 0.3119577081480091,
      "logarithmicResponse": 0.2592641452144351,
      "fittedRadius": 0.31224100575894015,
      "fittedLogarithmicResponse": 0.25474844630240817,
      "numericalResponseHull": [
        0.2592640811358085,
        0.25926420929306165
      ],
      "relativeRadiusRefinement": 1.0700536843266661e-06,
      "responseRefinement": 6.407862657153984e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.24128831700281148,
      "l1": -0.4469901295623927,
      "criticalPotential": 1.8980037578826718,
      "volumeRadius": 0.2640754322869364,
      "logarithmicResponse": 0.27595202821630405,
      "fittedRadius": 0.26503776127818607,
      "fittedLogarithmicResponse": 0.27182015730395676,
      "numericalResponseHull": [
        0.2759519798116903,
        0.2759520766209178
      ],
      "relativeRadiusRefinement": 1.1050452881633532e-06,
      "responseRefinement": 4.84046137616545e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.2045177918297822,
      "l1": -0.4867438841397219,
      "criticalPotential": 1.8773395186289958,
      "volumeRadius": 0.25221739867314535,
      "logarithmicResponse": 0.27975804417471867,
      "fittedRadius": 0.25330501605326183,
      "fittedLogarithmicResponse": 0.27584747071842153,
      "numericalResponseHull": [
        0.27975799985082034,
        0.279758088498617
      ],
      "relativeRadiusRefinement": 1.112709549833113e-06,
      "responseRefinement": 4.432389832942363e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 6.09808438933935,
      "l1": 0.5353079552901789,
      "criticalPotential": 1.8488821281225014,
      "volumeRadius": 0.5402040930599973,
      "logarithmicResponse": 0.15547960756063464,
      "fittedRadius": 0.5376680939631734,
      "fittedLogarithmicResponse": 0.15693575649089486,
      "numericalResponseHull": [
        0.15547952953610739,
        0.1554796855851619
      ],
      "relativeRadiusRefinement": 8.590061486568601e-07,
      "responseRefinement": 7.802452725580444e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.10122680737396873,
      "l1": -0.6246188269203166,
      "criticalPotential": 1.786668783997771,
      "volumeRadius": 0.2061368434117971,
      "logarithmicResponse": 0.29329630937953066,
      "fittedRadius": 0.2075073685272207,
      "fittedLogarithmicResponse": 0.2906703019503469,
      "numericalResponseHull": [
        0.2932962806092197,
        0.29329633814984163
      ],
      "relativeRadiusRefinement": 1.1382115356894928e-06,
      "responseRefinement": 2.8770310966930168e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.14417498776026388,
      "l1": -0.5613073366614549,
      "criticalPotential": 1.832122852440477,
      "volumeRadius": 0.2284194544451266,
      "logarithmicResponse": 0.2869984393165765,
      "fittedRadius": 0.22969574714807225,
      "fittedLogarithmicResponse": 0.2836729006515191,
      "numericalResponseHull": [
        0.28699840315525776,
        0.2869984754778952
      ],
      "relativeRadiusRefinement": 1.1267579815843476e-06,
      "responseRefinement": 3.61613187171983e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 4.464468313466725,
      "l1": 0.4652416832249725,
      "criticalPotential": 1.8888012315997857,
      "volumeRadius": 0.5135402713271088,
      "logarithmicResponse": 0.1692069501753332,
      "fittedRadius": 0.510965289325187,
      "fittedLogarithmicResponse": 0.16979038656505874,
      "numericalResponseHull": [
        0.16920686761618436,
        0.169207032734482
      ],
      "relativeRadiusRefinement": 8.840749339267262e-07,
      "responseRefinement": 8.255914882293602e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.22527286406444433,
      "l1": -0.46386262338130624,
      "criticalPotential": 1.8895132612355572,
      "volumeRadius": 0.25910328231587904,
      "logarithmicResponse": 0.2775639196277794,
      "fittedRadius": 0.2601205333700631,
      "fittedLogarithmicResponse": 0.27351891764540914,
      "numericalResponseHull": [
        0.27756387293136203,
        0.2775639663241967
      ],
      "relativeRadiusRefinement": 1.1083109752174636e-06,
      "responseRefinement": 4.6696417344005425e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 5.518028582287768,
      "l1": 0.5139633747343022,
      "criticalPotential": 1.8618378192487737,
      "volumeRadius": 0.5317574155088963,
      "logarithmicResponse": 0.15986154937173463,
      "fittedRadius": 0.5291910105291551,
      "fittedLogarithmicResponse": 0.1610517978077073,
      "numericalResponseHull": [
        0.1598614697628939,
        0.15986162898057538
      ],
      "relativeRadiusRefinement": 8.668851358972773e-07,
      "responseRefinement": 7.960884074176278e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.27361703055799036,
      "l1": -0.41477173639208853,
      "criticalPotential": 1.9131082878527232,
      "volumeRadius": 0.2733466857824569,
      "logarithmicResponse": 0.272884951642953,
      "fittedRadius": 0.2741978392386189,
      "fittedLogarithmicResponse": 0.2686143756263549,
      "numericalResponseHull": [
        0.2728849000747972,
        0.2728850032111088
      ],
      "relativeRadiusRefinement": 1.0987605640888631e-06,
      "responseRefinement": 5.156815580109608e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 15.446730970389188,
      "l1": 0.6897746443810091,
      "criticalPotential": 1.732967438544427,
      "volumeRadius": 0.6128363789683843,
      "logarithmicResponse": 0.11672038330305363,
      "fittedRadius": 0.61132239512508,
      "fittedLogarithmicResponse": 0.1197878907985731,
      "numericalResponseHull": [
        0.11672032341027817,
        0.1167204431958291
      ],
      "relativeRadiusRefinement": 7.945931927988426e-07,
      "responseRefinement": 5.989277546136762e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.6155007561556847,
      "l1": 0.32079990473764874,
      "criticalPotential": 1.9493981289273747,
      "volumeRadius": 0.4661665181126509,
      "logarithmicResponse": 0.19275230257952392,
      "fittedRadius": 0.4638903803206221,
      "fittedLogarithmicResponse": 0.19165576290315267,
      "numericalResponseHull": [
        0.19275221569709783,
        0.19275238946195
      ],
      "relativeRadiusRefinement": 9.295954266352879e-07,
      "responseRefinement": 8.688242608689833e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.1485738843949203,
      "l1": 0.04882965648147297,
      "criticalPotential": 1.998873006570214,
      "volumeRadius": 0.3921354307579675,
      "logarithmicResponse": 0.22688152417589832,
      "fittedRadius": 0.3909688380765435,
      "fittedLogarithmicResponse": 0.22345761852303664,
      "numericalResponseHull": [
        0.2268814414342036,
        0.22688160691759304
      ],
      "relativeRadiusRefinement": 1.0003243098299919e-06,
      "responseRefinement": 8.274169471800263e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.09821967394520426,
      "l1": -0.6295046608489574,
      "criticalPotential": 1.7828831427273752,
      "volumeRadius": 0.20432008866556253,
      "logarithmicResponse": 0.2937893810728665,
      "fittedRadius": 0.20569462970264013,
      "fittedLogarithmicResponse": 0.2912259925428692,
      "numericalResponseHull": [
        0.29378935288704905,
        0.29378940925868396
      ],
      "relativeRadiusRefinement": 1.1390703325009355e-06,
      "responseRefinement": 2.8185817457782036e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.07041431871952497,
      "l1": -0.6786470567489233,
      "criticalPotential": 1.742619455222802,
      "volumeRadius": 0.18512944140634566,
      "logarithmicResponse": 0.2988120754611185,
      "fittedRadius": 0.18651219062292537,
      "fittedLogarithmicResponse": 0.29695192796546227,
      "numericalResponseHull": [
        0.29881205322623705,
        0.2988120976959999
      ],
      "relativeRadiusRefinement": 1.147435098047822e-06,
      "responseRefinement": 2.223488143604513e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.1051095208829093,
      "l1": -0.6184130253592091,
      "criticalPotential": 1.7914196323420442,
      "volumeRadius": 0.2084226447737954,
      "logarithmicResponse": 0.29267158528018866,
      "fittedRadius": 0.20978732360661637,
      "fittedLogarithmicResponse": 0.28996789347221574,
      "numericalResponseHull": [
        0.29267155576997295,
        0.2926716147904044
      ],
      "relativeRadiusRefinement": 1.1371147525807146e-06,
      "responseRefinement": 2.951021571551138e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 16.04813496815813,
      "l1": 0.6946750726994446,
      "criticalPotential": 1.7286575062106346,
      "volumeRadius": 0.6155571345642483,
      "logarithmicResponse": 0.11523615673614912,
      "fittedRadius": 0.6141087278965053,
      "fittedLogarithmicResponse": 0.11833314017307062,
      "numericalResponseHull": [
        0.11523609764222141,
        0.11523621583007683
      ],
      "relativeRadiusRefinement": 7.923208302784701e-07,
      "responseRefinement": 5.909392770953037e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 11.901094450474517,
      "l1": 0.6536079996859843,
      "criticalPotential": 1.7636267332682427,
      "volumeRadius": 0.5936649665288471,
      "logarithmicResponse": 0.1271189113317378,
      "fittedRadius": 0.5917446522269756,
      "fittedLogarithmicResponse": 0.12990648909838665,
      "numericalResponseHull": [
        0.12711884600345053,
        0.12711897666002508
      ],
      "relativeRadiusRefinement": 8.10921480409732e-07,
      "responseRefinement": 6.532828727978668e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.5354484305823917,
      "l1": -0.21513625495102356,
      "criticalPotential": 1.9777422268483678,
      "volumeRadius": 0.3262998746306114,
      "logarithmicResponse": 0.2538650492377162,
      "fittedRadius": 0.32633887127212075,
      "fittedLogarithmicResponse": 0.24939396292344218,
      "numericalResponseHull": [
        0.25386498095088933,
        0.25386511752454305
      ],
      "relativeRadiusRefinement": 1.0584569536398192e-06,
      "responseRefinement": 6.828682685977583e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 4.434603886881445,
      "l1": 0.46361951705739657,
      "criticalPotential": 1.8896384954562264,
      "volumeRadius": 0.5129568696194946,
      "logarithmicResponse": 0.16950375182387803,
      "fittedRadius": 0.5103828485863987,
      "fittedLogarithmicResponse": 0.17006714647844973,
      "numericalResponseHull": [
        0.16950366918129908,
        0.16950383446645698
      ],
      "relativeRadiusRefinement": 8.846293375608383e-07,
      "responseRefinement": 8.264257894685656e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.7839129247902035,
      "l1": 0.20002482015199696,
      "criticalPotential": 1.9808066318325603,
      "volumeRadius": 0.43165944432503334,
      "logarithmicResponse": 0.2091073777905009,
      "fittedRadius": 0.42983057322613044,
      "fittedLogarithmicResponse": 0.2068299898073927,
      "numericalResponseHull": [
        0.20910729113360735,
        0.20910746444739445
      ],
      "relativeRadiusRefinement": 9.628920738524727e-07,
      "responseRefinement": 8.665689354980799e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.19460750025507056,
      "l1": -0.49811229988552996,
      "criticalPotential": 1.8710019669447564,
      "volumeRadius": 0.24873012792011673,
      "logarithmicResponse": 0.2808522849314639,
      "fittedRadius": 0.24985077646425188,
      "fittedLogarithmicResponse": 0.2770159417717082,
      "numericalResponseHull": [
        0.2808522418100293,
        0.2808523280528985
      ],
      "relativeRadiusRefinement": 1.1148812171235534e-06,
      "responseRefinement": 4.312143458973239e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.8846594206464256,
      "l1": 0.21811631564268086,
      "criticalPotential": 1.9771097154773518,
      "volumeRadius": 0.43661929146534206,
      "logarithmicResponse": 0.20680215057245152,
      "fittedRadius": 0.43471694446052467,
      "fittedLogarithmicResponse": 0.20468700896351283,
      "numericalResponseHull": [
        0.20680206370003296,
        0.20680223744487009
      ],
      "relativeRadiusRefinement": 9.58125115246844e-07,
      "responseRefinement": 8.687241856430994e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 8.520200077807246,
      "l1": 0.599516608853111,
      "criticalPotential": 1.8054889400635357,
      "volumeRadius": 0.5676605520420382,
      "logarithmicResponse": 0.14104084122965074,
      "fittedRadius": 0.5653468846649499,
      "fittedLogarithmicResponse": 0.14326831971881027,
      "numericalResponseHull": [
        0.14104076920226008,
        0.1410409132570414
      ],
      "relativeRadiusRefinement": 8.338862942380842e-07,
      "responseRefinement": 7.202739066292096e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 10.987657183400312,
      "l1": 0.6415193022951848,
      "criticalPotential": 1.7734047559711297,
      "volumeRadius": 0.5875923042191853,
      "logarithmicResponse": 0.13038972119158473,
      "fittedRadius": 0.5855638686317975,
      "fittedLogarithmicResponse": 0.13306385362637263,
      "numericalResponseHull": [
        0.13038965422248897,
        0.1303897881606805
      ],
      "relativeRadiusRefinement": 8.162040916470659e-07,
      "responseRefinement": 6.696909576886512e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.0272026532590672,
      "l1": 0.2417687504687644,
      "criticalPotential": 1.9717556778919656,
      "volumeRadius": 0.4432027094948684,
      "logarithmicResponse": 0.2037180338799057,
      "fittedRadius": 0.4412071589068552,
      "fittedLogarithmicResponse": 0.20182291682135467,
      "numericalResponseHull": [
        0.20371794681694097,
        0.20371812094287042
      ],
      "relativeRadiusRefinement": 9.517836603301078e-07,
      "responseRefinement": 8.7062964726492e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.39752541132850966,
      "l1": -0.3091091082005001,
      "criticalPotential": 1.9531541719036798,
      "volumeRadius": 0.3021254597528253,
      "logarithmicResponse": 0.2628606179391167,
      "fittedRadius": 0.30256727658887667,
      "fittedLogarithmicResponse": 0.25835633525178703,
      "numericalResponseHull": [
        0.26286055690584226,
        0.2628606789723911
      ],
      "relativeRadiusRefinement": 1.0777278831586301e-06,
      "responseRefinement": 6.103327443440776e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.644865241866348,
      "l1": -0.15296044134284548,
      "criticalPotential": 1.9888492563812052,
      "volumeRadius": 0.3418804109922037,
      "logarithmicResponse": 0.2477986725529874,
      "fittedRadius": 0.34164076198057874,
      "fittedLogarithmicResponse": 0.24345577462489665,
      "numericalResponseHull": [
        0.2477986000657391,
        0.24779874504023572
      ],
      "relativeRadiusRefinement": 1.0453643966013004e-06,
      "responseRefinement": 7.248724831487863e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 16.80819318214214,
      "l1": 0.7004846512834313,
      "criticalPotential": 1.7235022741518842,
      "volumeRadius": 0.618822726999481,
      "logarithmicResponse": 0.11345204352843229,
      "fittedRadius": 0.6174555819988945,
      "fittedLogarithmicResponse": 0.11658086805269552,
      "numericalResponseHull": [
        0.1134519854011185,
        0.11345210165574607
      ],
      "relativeRadiusRefinement": 7.896086968717242e-07,
      "responseRefinement": 5.812731378174174e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.1401047833396452,
      "l1": 0.046226697624600244,
      "criticalPotential": 1.9989900555552165,
      "volumeRadius": 0.39147712263453166,
      "logarithmicResponse": 0.22716816375739196,
      "fittedRadius": 0.39032240276340974,
      "fittedLogarithmicResponse": 0.22372785028380388,
      "numericalResponseHull": [
        0.227168081113387,
        0.22716824640139693
      ],
      "relativeRadiusRefinement": 1.000936310946443e-06,
      "responseRefinement": 8.264400497282054e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.05780536311576501,
      "l1": -0.7040323946900131,
      "criticalPotential": 1.7203302506534128,
      "volumeRadius": 0.1744835785390086,
      "logarithmicResponse": 0.301453944809624,
      "fittedRadius": 0.17584410290813338,
      "fittedLogarithmicResponse": 0.3000101721839971,
      "numericalResponseHull": [
        0.3014539256707223,
        0.3014539639485257
      ],
      "relativeRadiusRefinement": 1.151511713093356e-06,
      "responseRefinement": 1.9138901685700205e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 7.216282562637523,
      "l1": 0.5689770718574156,
      "criticalPotential": 1.8269697434406305,
      "volumeRadius": 0.5541896813749798,
      "logarithmicResponse": 0.14816071760636515,
      "fittedRadius": 0.5517428000998426,
      "fittedLogarithmicResponse": 0.15002951077051718,
      "numericalResponseHull": [
        0.14816064248299687,
        0.14816079272973343
      ],
      "relativeRadiusRefinement": 8.461099707535169e-07,
      "responseRefinement": 7.512336827608657e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.0609811123327364,
      "l1": 0.36644054421473393,
      "criticalPotential": 1.9331629906718706,
      "volumeRadius": 0.4802557846448321,
      "logarithmicResponse": 0.18587309264101956,
      "fittedRadius": 0.47784734450068966,
      "fittedLogarithmicResponse": 0.18527988848682908,
      "numericalResponseHull": [
        0.18587300650571253,
        0.1858731787763266
      ],
      "relativeRadiusRefinement": 9.159831551031061e-07,
      "responseRefinement": 8.613530702583638e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.5759646950708378,
      "l1": -0.19102058274330186,
      "criticalPotential": 1.9825199587932227,
      "volumeRadius": 0.33237013399493803,
      "logarithmicResponse": 0.25152614707631593,
      "fittedRadius": 0.3323019273761116,
      "fittedLogarithmicResponse": 0.24709533695368124,
      "numericalResponseHull": [
        0.2515260771036355,
        0.25152621704899636
      ],
      "relativeRadiusRefinement": 1.0534142287355053e-06,
      "responseRefinement": 6.997268042763238e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.11998476262285705,
      "l1": -0.5956096278221952,
      "criticalPotential": 1.8083234226351497,
      "volumeRadius": 0.21662267746751876,
      "logarithmicResponse": 0.29039043843872486,
      "fittedRadius": 0.21795914424961108,
      "fittedLogarithmicResponse": 0.2874187206942565,
      "numericalResponseHull": [
        0.29039040623635226,
        0.29039047064109746
      ],
      "relativeRadiusRefinement": 1.1330320843772057e-06,
      "responseRefinement": 3.220237260181946e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.1885120003994696,
      "l1": -0.5052581257680397,
      "criticalPotential": 1.866918298528676,
      "volumeRadius": 0.2465142787312835,
      "logarithmicResponse": 0.28154164884389105,
      "fittedRadius": 0.24765498339811956,
      "fittedLogarithmicResponse": 0.2777545860357712,
      "numericalResponseHull": [
        0.2815416064862359,
        0.2815416912015462
      ],
      "relativeRadiusRefinement": 1.1162413080523237e-06,
      "responseRefinement": 4.235765516114043e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.51028606380489,
      "l1": 0.3084748189473282,
      "criticalPotential": 1.9533533796451756,
      "volumeRadius": 0.46247480182102235,
      "logarithmicResponse": 0.1945362793004464,
      "fittedRadius": 0.4602386467162036,
      "fittedLogarithmicResponse": 0.19330894246714586,
      "numericalResponseHull": [
        0.1945361923013236,
        0.1945363662995692
      ],
      "relativeRadiusRefinement": 9.331652308652849e-07,
      "responseRefinement": 8.699912279475086e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.6011724849701996,
      "l1": 0.4108753522866292,
      "criticalPotential": 1.9148388594514085,
      "volumeRadius": 0.4946973617749347,
      "logarithmicResponse": 0.17871057009532734,
      "fittedRadius": 0.49218975890657835,
      "fittedLogarithmicResponse": 0.17863378298347765,
      "numericalResponseHull": [
        0.17871048520867025,
        0.17871065498198443
      ],
      "relativeRadiusRefinement": 9.020792361980057e-07,
      "responseRefinement": 8.488665709238674e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.14820145809468951,
      "l1": -0.5558838261051202,
      "criticalPotential": 1.8357088817891594,
      "volumeRadius": 0.23023065351323985,
      "logarithmicResponse": 0.286466096739821,
      "fittedRadius": 0.2314956977678279,
      "fittedLogarithmicResponse": 0.28308978790999084,
      "numericalResponseHull": [
        0.28646605996357427,
        0.2864661335160677
      ],
      "relativeRadiusRefinement": 1.1257534666686553e-06,
      "responseRefinement": 3.677624671460933e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.1131586586113097,
      "l1": -0.6058922060042546,
      "criticalPotential": 1.8008087581603365,
      "volumeRadius": 0.21296281286769778,
      "logarithmicResponse": 0.29141631407097146,
      "fittedRadius": 0.21431326565534006,
      "fittedLogarithmicResponse": 0.28856210502086826,
      "numericalResponseHull": [
        0.2914162830771055,
        0.29141634506483743
      ],
      "relativeRadiusRefinement": 1.1348827790857996e-06,
      "responseRefinement": 3.099386597371634e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.796759475833319,
      "l1": -0.0799245561803931,
      "criticalPotential": 1.9969758805666915,
      "volumeRadius": 0.36000130583198964,
      "logarithmicResponse": 0.24048790136219947,
      "fittedRadius": 0.35942738293033305,
      "fittedLogarithmicResponse": 0.2363926568641292,
      "numericalResponseHull": [
        0.2404878245551527,
        0.24048797816924625
      ],
      "relativeRadiusRefinement": 1.02956588898806e-06,
      "responseRefinement": 7.680704677826e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.2290630247796905,
      "l1": -0.4598107876918517,
      "criticalPotential": 1.891589395694223,
      "volumeRadius": 0.260305156382614,
      "logarithmicResponse": 0.27717640669117394,
      "fittedRadius": 0.26130944202289014,
      "fittedLogarithmicResponse": 0.2731096164049903,
      "numericalResponseHull": [
        0.27717635958133136,
        0.2771764538010165
      ],
      "relativeRadiusRefinement": 1.1075284045425349e-06,
      "responseRefinement": 4.71098425824934e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.08395666951332528,
      "l1": -0.6537301575076568,
      "criticalPotential": 1.7635266997296695,
      "volumeRadius": 0.19507717429992236,
      "logarithmicResponse": 0.29625067881588996,
      "fittedRadius": 0.19646347139815207,
      "fittedLogarithmicResponse": 0.2940170959948125,
      "numericalResponseHull": [
        0.2962506535502571,
        0.2962507040815228
      ],
      "relativeRadiusRefinement": 1.1432610940165233e-06,
      "responseRefinement": 2.5265632863646914e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.11009057785390843,
      "l1": -0.6106120986333059,
      "criticalPotential": 1.797300208465909,
      "volumeRadius": 0.21126235966287682,
      "logarithmicResponse": 0.2918887061392291,
      "fittedRadius": 0.21261854696104737,
      "fittedLogarithmicResponse": 0.28909026872715177,
      "numericalResponseHull": [
        0.2918886757031445,
        0.2918887365753138
      ],
      "relativeRadiusRefinement": 1.1357270415235377e-06,
      "responseRefinement": 3.0436084652585293e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.05398188861497875,
      "l1": -0.7122538733943269,
      "criticalPotential": 1.7129119390132137,
      "volumeRadius": 0.17091589175318003,
      "logarithmicResponse": 0.3023166249535724,
      "fittedRadius": 0.17226477550425495,
      "fittedLogarithmicResponse": 0.3010153293044723,
      "numericalResponseHull": [
        0.30231660681486294,
        0.3023166430922819
      ],
      "relativeRadiusRefinement": 1.1527870098504422e-06,
      "responseRefinement": 1.8138709478865422e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.0691495974716356,
      "l1": -0.6810878773765576,
      "criticalPotential": 1.740518560606453,
      "volumeRadius": 0.1841291075599147,
      "logarithmicResponse": 0.29906466375654145,
      "fittedRadius": 0.1855105747266314,
      "fittedLogarithmicResponse": 0.2972429814887056,
      "numericalResponseHull": [
        0.29906464181935033,
        0.29906468569373257
      ],
      "relativeRadiusRefinement": 1.1478353907357075e-06,
      "responseRefinement": 2.1937191119203447e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 9.505022136018344,
      "l1": 0.6182578079468986,
      "criticalPotential": 1.7915376330652633,
      "volumeRadius": 0.5763398193079756,
      "logarithmicResponse": 0.13641922016285202,
      "fittedRadius": 0.5741372885047559,
      "fittedLogarithmicResponse": 0.13885447750708946,
      "numericalResponseHull": [
        0.13641915027269236,
        0.13641929005301168
      ],
      "relativeRadiusRefinement": 8.261241688511944e-07,
      "responseRefinement": 6.989015965963574e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.3732176053620917,
      "l1": 0.11122134543703727,
      "criticalPotential": 1.9941300100545083,
      "volumeRadius": 0.4080992922313648,
      "logarithmicResponse": 0.21983393152341862,
      "fittedRadius": 0.406651586760836,
      "fittedLogarithmicResponse": 0.21683734849409375,
      "numericalResponseHull": [
        0.21983384673426223,
        0.21983401631257501
      ],
      "relativeRadiusRefinement": 9.853518201374811e-07,
      "responseRefinement": 8.478915639043016e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 13.137451727602304,
      "l1": 0.6678931137199653,
      "criticalPotential": 1.7517646079944873,
      "volumeRadius": 0.6010518859096448,
      "logarithmicResponse": 0.1231250022455965,
      "fittedRadius": 0.5992764859796004,
      "fittedLogarithmicResponse": 0.1260349594938469,
      "numericalResponseHull": [
        0.12312493896847293,
        0.12312506552272007
      ],
      "relativeRadiusRefinement": 8.045658592692462e-07,
      "responseRefinement": 6.327712356868354e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 6.632816024419537,
      "l1": 0.5524685909010218,
      "criticalPotential": 1.837942549465108,
      "volumeRadius": 0.5472258734990116,
      "logarithmicResponse": 0.1518146288184526,
      "fittedRadius": 0.5447284711499495,
      "fittedLogarithmicResponse": 0.15348261719784995,
      "numericalResponseHull": [
        0.15181455220865042,
        0.15181470542825476
      ],
      "relativeRadiusRefinement": 8.525067707321199e-07,
      "responseRefinement": 7.66098021687256e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 9.787011792042618,
      "l1": 0.6230908593834432,
      "criticalPotential": 1.787844495938566,
      "volumeRadius": 0.5786326759404743,
      "logarithmicResponse": 0.1351940039418941,
      "fittedRadius": 0.5764628605649541,
      "fittedLogarithmicResponse": 0.13768082677490967,
      "numericalResponseHull": [
        0.13519393463368012,
        0.13519407325010807
      ],
      "relativeRadiusRefinement": 8.240893638600255e-07,
      "responseRefinement": 6.930821397355125e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 4.41979530957281,
      "l1": 0.4628092719597313,
      "criticalPotential": 1.8900552698430009,
      "volumeRadius": 0.5126659914702575,
      "logarithmicResponse": 0.16965167475106785,
      "fittedRadius": 0.5100924773260702,
      "fittedLogarithmicResponse": 0.1702050650403052,
      "numericalResponseHull": [
        0.16965159206715635,
        0.16965175743497934
      ],
      "relativeRadiusRefinement": 8.849058408255672e-07,
      "responseRefinement": 8.268391149535148e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.3536168281650639,
      "l1": -0.34377619107888757,
      "criticalPotential": 1.9415426616353866,
      "volumeRadius": 0.2929148495720515,
      "logarithmicResponse": 0.26615103239129123,
      "fittedRadius": 0.2934972498215081,
      "fittedLogarithmicResponse": 0.26168896634099786,
      "numericalResponseHull": [
        0.26615097430992585,
        0.2661510904726566
      ],
      "relativeRadiusRefinement": 1.0846990907698029e-06,
      "responseRefinement": 5.8081365383877426e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.8076172000571622,
      "l1": -0.07519177309757105,
      "criticalPotential": 1.9973242001464389,
      "volumeRadius": 0.361173871780881,
      "logarithmicResponse": 0.240005615329496,
      "fittedRadius": 0.36057813933316085,
      "fittedLogarithmicResponse": 0.2359298549000024,
      "numericalResponseHull": [
        0.24000553826575294,
        0.24000569239323905
      ],
      "relativeRadiusRefinement": 1.0285245379826335e-06,
      "responseRefinement": 7.706374305360697e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.6945171144303839,
      "l1": 0.1829003457099238,
      "criticalPotential": 1.9839936401710285,
      "volumeRadius": 0.42702020393090057,
      "logarithmicResponse": 0.21124908678812548,
      "fittedRadius": 0.42526240813895644,
      "fittedLogarithmicResponse": 0.20882299281258404,
      "numericalResponseHull": [
        0.21124900038887645,
        0.21124917318737452
      ],
      "relativeRadiusRefinement": 9.673408363219949e-07,
      "responseRefinement": 8.639924903297569e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.32329595711397846,
      "l1": -0.36938273097508034,
      "criticalPotential": 1.932028212159815,
      "volumeRadius": 0.2859775295634544,
      "logarithmicResponse": 0.2685785182410049,
      "fittedRadius": 0.2866601460709567,
      "fittedLogarithmicResponse": 0.264168507477108,
      "numericalResponseHull": [
        0.26857846243617334,
        0.2685785740458365
      ],
      "relativeRadiusRefinement": 1.0898038598217141e-06,
      "responseRefinement": 5.5804831589068016e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.6933890309551367,
      "l1": -0.12813553503144176,
      "criticalPotential": 1.9921964500276919,
      "volumeRadius": 0.3480512907833833,
      "logarithmicResponse": 0.24533942170022713,
      "fittedRadius": 0.3476986389363336,
      "fittedLogarithmicResponse": 0.24106933124977964,
      "numericalResponseHull": [
        0.24533934766966622,
        0.24533949573078803
      ],
      "relativeRadiusRefinement": 1.0400491081696828e-06,
      "responseRefinement": 7.403056090371507e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.900626438195578,
      "l1": -0.03691452757747429,
      "criticalPotential": 1.9993561658398207,
      "volumeRadius": 0.3706679410414657,
      "logarithmicResponse": 0.2360602718166017,
      "fittedRadius": 0.36989556513337146,
      "fittedLogarithmicResponse": 0.23215693955929428,
      "numericalResponseHull": [
        0.23606019278268625,
        0.23606035085051713
      ],
      "relativeRadiusRefinement": 1.020015420793996e-06,
      "responseRefinement": 7.90339154399522e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.16407379671785838,
      "l1": -0.5351962944465094,
      "criticalPotential": 1.8489517697408309,
      "volumeRadius": 0.23701553450473592,
      "logarithmicResponse": 0.2844445105709353,
      "fittedRadius": 0.23823378890365338,
      "fittedLogarithmicResponse": 0.28088687601073714,
      "numericalResponseHull": [
        0.284444471478622,
        0.28444454966324856
      ],
      "relativeRadiusRefinement": 1.121894470434981e-06,
      "responseRefinement": 3.909231327536844e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.15078360035184418,
      "l1": -0.5524446213926302,
      "criticalPotential": 1.8379581595645087,
      "volumeRadius": 0.23137202466466492,
      "logarithmicResponse": 0.28612904575162956,
      "fittedRadius": 0.23262970979147293,
      "fittedLogarithmicResponse": 0.28272124821121764,
      "numericalResponseHull": [
        0.28612900858707857,
        0.28612908291618055
      ],
      "relativeRadiusRefinement": 1.1251148777091657e-06,
      "responseRefinement": 3.716455099223026e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 10.584906062309361,
      "l1": 0.6356923348550785,
      "criticalPotential": 1.7780316548525668,
      "volumeRadius": 0.5847213219432971,
      "logarithmicResponse": 0.13193201722336348,
      "fittedRadius": 0.5826452310088933,
      "fittedLogarithmicResponse": 0.1345486511766225,
      "numericalResponseHull": [
        0.13193194949377027,
        0.1319320849529567
      ],
      "relativeRadiusRefinement": 8.187191713471265e-07,
      "responseRefinement": 6.772959321166283e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 18.13252322955771,
      "l1": 0.709713710095349,
      "criticalPotential": 1.7152138479311887,
      "volumeRadius": 0.6241016576771395,
      "logarithmicResponse": 0.11056193155987286,
      "fittedRadius": 0.6228716979071687,
      "fittedLogarithmicResponse": 0.11373390021862106,
      "numericalResponseHull": [
        0.110561875011802,
        0.11056198810794372
      ],
      "relativeRadiusRefinement": 7.852602084135185e-07,
      "responseRefinement": 5.654807086474811e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.291777173843467,
      "l1": -0.3976432579260817,
      "criticalPotential": 1.9205646909635274,
      "volumeRadius": 0.27816785111907316,
      "logarithmicResponse": 0.27125854118390413,
      "fittedRadius": 0.2789569023940097,
      "fittedLogarithmicResponse": 0.2669279609212482,
      "numericalResponseHull": [
        0.2712584879866752,
        0.2712585943811331
      ],
      "relativeRadiusRefinement": 1.0953944264979754e-06,
      "responseRefinement": 5.319722895524848e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.0793170967646653,
      "l1": 0.3681232060452416,
      "criticalPotential": 1.9325153371741564,
      "volumeRadius": 0.48078883646592907,
      "logarithmicResponse": 0.18561067876644594,
      "fittedRadius": 0.4783760555989232,
      "fittedLogarithmicResponse": 0.18503657912678984,
      "numericalResponseHull": [
        0.18561059266865773,
        0.18561076486423414
      ],
      "relativeRadiusRefinement": 9.154688345169859e-07,
      "responseRefinement": 8.609778820445335e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.123119865062613,
      "l1": 0.25654102464073947,
      "criticalPotential": 1.9681066872813342,
      "volumeRadius": 0.44737609425863756,
      "logarithmicResponse": 0.20174885924329472,
      "fittedRadius": 0.4453241938374795,
      "fittedLogarithmicResponse": 0.19999566342965142,
      "numericalResponseHull": [
        0.20174877211582426,
        0.20174894637076518
      ],
      "relativeRadiusRefinement": 9.477570910298994e-07,
      "responseRefinement": 8.712747046057956e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.8938617493699854,
      "l1": 0.43122578267026757,
      "criticalPotential": 1.9055732701252446,
      "volumeRadius": 0.5015864767990961,
      "logarithmicResponse": 0.1752560855002477,
      "fittedRadius": 0.49904572881646697,
      "fittedLogarithmicResponse": 0.17542331617316625,
      "numericalResponseHull": [
        0.1752560013752762,
        0.17525616962521923
      ],
      "relativeRadiusRefinement": 8.954751269385497e-07,
      "responseRefinement": 8.412497151666365e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.238482582225182,
      "l1": -0.4498997228497589,
      "criticalPotential": 1.8965685535604426,
      "volumeRadius": 0.2632240456858983,
      "logarithmicResponse": 0.2762296710508448,
      "fittedRadius": 0.2641960177522975,
      "fittedLogarithmicResponse": 0.2721120613559131,
      "numericalResponseHull": [
        0.27622962293828685,
        0.2762297191634027
      ],
      "relativeRadiusRefinement": 1.1056097328765446e-06,
      "responseRefinement": 4.8112557937685096e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 6.865670340619692,
      "l1": 0.5593088753599151,
      "criticalPotential": 1.8334498012217046,
      "volumeRadius": 0.550085673293721,
      "logarithmicResponse": 0.15031636462466577,
      "fittedRadius": 0.5476075281224421,
      "fittedLogarithmicResponse": 0.15206799005544613,
      "numericalResponseHull": [
        0.15031628861547017,
        0.15031644063386138
      ],
      "relativeRadiusRefinement": 8.498737384954325e-07,
      "responseRefinement": 7.600919560424302e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.4905406246643946,
      "l1": 0.40256426702847936,
      "criticalPotential": 1.9184623784566575,
      "volumeRadius": 0.4919358906938027,
      "logarithmicResponse": 0.18008856110088484,
      "fittedRadius": 0.4894442089976541,
      "fittedLogarithmicResponse": 0.1799133873000175,
      "numericalResponseHull": [
        0.18008847593861785,
        0.18008864626315182
      ],
      "relativeRadiusRefinement": 9.047322875321839e-07,
      "responseRefinement": 8.516226698840335e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.1855859650520622,
      "l1": 0.05997218046936864,
      "criticalPotential": 1.9982991697190506,
      "volumeRadius": 0.3949596149158382,
      "logarithmicResponse": 0.22564819393735316,
      "fittedRadius": 0.3937423050954579,
      "fittedLogarithmicResponse": 0.22229581861839598,
      "numericalResponseHull": [
        0.22564811078836294,
        0.22564827708634339
      ],
      "relativeRadiusRefinement": 9.976935582134416e-07,
      "responseRefinement": 8.314899022088262e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.3941656046464915,
      "l1": -0.31166875534128924,
      "criticalPotential": 1.9523455086328383,
      "volumeRadius": 0.30145183132268527,
      "logarithmicResponse": 0.2631038579889833,
      "fittedRadius": 0.3019042023871626,
      "fittedLogarithmicResponse": 0.2586016256015332,
      "numericalResponseHull": [
        0.2631037971685603,
        0.26310391880940626
      ],
      "relativeRadiusRefinement": 1.078245012386958e-06,
      "responseRefinement": 6.082042297572698e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.5533730583117037,
      "l1": -0.20429724602397592,
      "criticalPotential": 1.9799643517727936,
      "volumeRadius": 0.32903324402304074,
      "logarithmicResponse": 0.25281578500530183,
      "fittedRadius": 0.3290242113220181,
      "fittedLogarithmicResponse": 0.24836128495787824,
      "numericalResponseHull": [
        0.252815715951885,
        0.25281585405871865
      ],
      "relativeRadiusRefinement": 1.0561957701771263e-06,
      "responseRefinement": 6.905341681795463e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 2.04505188524091,
      "l1": 0.24458372680203327,
      "criticalPotential": 1.9710785917690616,
      "volumeRadius": 0.44399418863956674,
      "logarithmicResponse": 0.20334541344254817,
      "fittedRadius": 0.4419877833255921,
      "fittedLogarithmicResponse": 0.2014770748904524,
      "numericalResponseHull": [
        0.20334532636400393,
        0.2033455005210924
      ],
      "relativeRadiusRefinement": 9.51020365125288e-07,
      "responseRefinement": 8.707854423639638e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 5.066508864573594,
      "l1": 0.4949076106472876,
      "criticalPotential": 1.8728081860851284,
      "volumeRadius": 0.5244656298045127,
      "logarithmicResponse": 0.1636199449745934,
      "fittedRadius": 0.5218866530192134,
      "fittedLogarithmicResponse": 0.16457216875764835,
      "numericalResponseHull": [
        0.16361986410608897,
        0.16362002584309782
      ],
      "relativeRadiusRefinement": 8.73735656270469e-07,
      "responseRefinement": 8.086850442068361e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.9964289499775456,
      "l1": -0.0012626253536555387,
      "criticalPotential": 1.9999992471721018,
      "volumeRadius": 0.37954771773684437,
      "logarithmicResponse": 0.23230623818295024,
      "fittedRadius": 0.3786108668964686,
      "fittedLogarithmicResponse": 0.22858683157143384,
      "numericalResponseHull": [
        0.23230615748649452,
        0.23230631887940595
      ],
      "relativeRadiusRefinement": 1.011940668815825e-06,
      "responseRefinement": 8.06964557120704e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 8.91981472109845,
      "l1": 0.6074984426489369,
      "criticalPotential": 1.7996189396241633,
      "volumeRadius": 0.5713166987660991,
      "logarithmicResponse": 0.1390971564412145,
      "fittedRadius": 0.5690474059032887,
      "fittedLogarithmicResponse": 0.14141453023902206,
      "numericalResponseHull": [
        0.1390970853011843,
        0.1390972275812447
      ],
      "relativeRadiusRefinement": 8.306051784146007e-07,
      "responseRefinement": 7.114003020003423e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.2394063512769598,
      "l1": 0.38225070364259073,
      "criticalPotential": 1.9269360333618322,
      "volumeRadius": 0.4853056248595022,
      "logarithmicResponse": 0.18338101233898108,
      "fittedRadius": 0.48285810889446407,
      "fittedLogarithmicResponse": 0.18296876450565835,
      "numericalResponseHull": [
        0.18338092658573016,
        0.183381098092232
      ],
      "relativeRadiusRefinement": 9.11113734458624e-07,
      "responseRefinement": 8.575325091686459e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 16.175344015134698,
      "l1": 0.6956761158290747,
      "criticalPotential": 1.7277727189860106,
      "volumeRadius": 0.6161167066828259,
      "logarithmicResponse": 0.11493064735404049,
      "fittedRadius": 0.614682027400919,
      "fittedLogarithmicResponse": 0.11803336254720131,
      "numericalResponseHull": [
        0.11493058842515498,
        0.114930706282926
      ],
      "relativeRadiusRefinement": 7.918549076446624e-07,
      "responseRefinement": 5.892888550740327e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.5519252924176294,
      "l1": -0.20516249316049018,
      "criticalPotential": 1.9797914664580234,
      "volumeRadius": 0.3288153620786702,
      "logarithmicResponse": 0.2528996596987337,
      "fittedRadius": 0.32881017296052983,
      "fittedLogarithmicResponse": 0.2484437440628804,
      "numericalResponseHull": [
        0.2528995907059823,
        0.2528997286914851
      ],
      "relativeRadiusRefinement": 1.0563765877602549e-06,
      "responseRefinement": 6.89927514008204e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 7.174535219294571,
      "l1": 0.5678632066750682,
      "criticalPotential": 1.827724096664,
      "volumeRadius": 0.5537130896759385,
      "logarithmicResponse": 0.1484113804208003,
      "fittedRadius": 0.5512623569451482,
      "fittedLogarithmicResponse": 0.1502667451401154,
      "numericalResponseHull": [
        0.14841130519313728,
        0.1484114556484633
      ],
      "relativeRadiusRefinement": 8.465461376339078e-07,
      "responseRefinement": 7.522766301559791e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 6.394138831136733,
      "l1": 0.5450739307013404,
      "criticalPotential": 1.8427143739158984,
      "volumeRadius": 0.5441738490806303,
      "logarithmicResponse": 0.15341004454521773,
      "fittedRadius": 0.5416581633903265,
      "fittedLogarithmicResponse": 0.1549870548285679,
      "numericalResponseHull": [
        0.15340996730989415,
        0.1534101217805413
      ],
      "relativeRadiusRefinement": 8.553258477039805e-07,
      "responseRefinement": 7.723532358117069e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.4686802253421396,
      "l1": 0.13438858742394882,
      "criticalPotential": 1.9914106879952946,
      "volumeRadius": 0.41413584661356123,
      "logarithmicResponse": 0.21712169332900028,
      "fittedRadius": 0.4125860385737317,
      "fittedLogarithmicResponse": 0.21430026671445446,
      "numericalResponseHull": [
        0.21712160792896523,
        0.21712177872903532
      ],
      "relativeRadiusRefinement": 9.79632310382783e-07,
      "responseRefinement": 8.54000350436479e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.2619960255309764,
      "l1": -0.42608670852103625,
      "criticalPotential": 1.9079663805397553,
      "volumeRadius": 0.2701221481909332,
      "logarithmicResponse": 0.2739607356979334,
      "fittedRadius": 0.27101322686510093,
      "fittedLogarithmicResponse": 0.2697349374883438,
      "numericalResponseHull": [
        0.2739606852260507,
        0.27396078616981606
      ],
      "relativeRadiusRefinement": 1.1009748253076879e-06,
      "responseRefinement": 5.047188267326419e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 3.5984556799177683,
      "l1": 0.4106755740326481,
      "criticalPotential": 1.914927041326667,
      "volumeRadius": 0.4946306381733709,
      "logarithmicResponse": 0.17874391141558693,
      "fittedRadius": 0.49212340248479175,
      "fittedLogarithmicResponse": 0.1786647503125119,
      "numericalResponseHull": [
        0.17874382652206922,
        0.17874399630910465
      ],
      "relativeRadiusRefinement": 9.021433022837755e-07,
      "responseRefinement": 8.489351771556741e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 1.0720436058630014,
      "l1": 0.024545339538577515,
      "criticalPotential": 1.9997154310517984,
      "volumeRadius": 0.38601301970683816,
      "logarithmicResponse": 0.22953488913773845,
      "fittedRadius": 0.3849575093058281,
      "fittedLogarithmicResponse": 0.22596237309651507,
      "numericalResponseHull": [
        0.22953480734433493,
        0.22953497093114197
      ],
      "relativeRadiusRefinement": 1.0059975070753069e-06,
      "responseRefinement": 8.179340352243436e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.9550909227697969,
      "l1": -0.016215002609938023,
      "criticalPotential": 1.9998758275023403,
      "volumeRadius": 0.37581747581693314,
      "logarithmicResponse": 0.2338906801303653,
      "fittedRadius": 0.3749495576947571,
      "fittedLogarithmicResponse": 0.23009143176077756,
      "numericalResponseHull": [
        0.23389060011062843,
        0.23389076015010216
      ],
      "relativeRadiusRefinement": 1.0153456531103444e-06,
      "responseRefinement": 8.001973686444508e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.6966150376786341,
      "l1": -0.1265382063868698,
      "criticalPotential": 1.992391012609287,
      "volumeRadius": 0.3484477486111471,
      "logarithmicResponse": 0.24518034238598244,
      "fittedRadius": 0.34808779979140275,
      "fittedLogarithmicResponse": 0.24091534417618304,
      "numericalResponseHull": [
        0.2451802682587495,
        0.24518041651321537
      ],
      "relativeRadiusRefinement": 1.0397052558897002e-06,
      "responseRefinement": 7.412723293520607e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    },
    {
      "massRatio": 0.059810696005635045,
      "l1": -0.6998267520918557,
      "criticalPotential": 1.7240885259124683,
      "volumeRadius": 0.17628528446230862,
      "logarithmicResponse": 0.3010139819831053,
      "fittedRadius": 0.17765089398316472,
      "fittedLogarithmicResponse": 0.29949874977507707,
      "numericalResponseHull": [
        0.30101396233175703,
        0.3010140016344536
      ],
      "relativeRadiusRefinement": 1.1508503092727551e-06,
      "responseRefinement": 1.965134827086601e-08,
      "order": 128,
      "evaluations": 1053696,
      "status": "refined"
    }
  ],
  "balances": [
    {
      "parameters": {
        "initialMassRatio": 0.6115245099994353,
        "initialFilling": 1.02,
        "removedFraction": 0.006042537400498986,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.3729857055353936,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.006042537400498986,
        "removed": 0.0036951597229934042,
        "donor": 0.6078293502764419,
        "accretor": 1,
        "escapedMass": 0.0036951597229934042,
        "massRatio": 0.6078293502764419,
        "separation": 0.9943561322740959,
        "periodRatio": 0.9926849007037927,
        "initialAngular": 0.4817208130969082,
        "orbitalAngular": 0.4780052528137765,
        "escapedAngular": 0.0037155602831316914,
        "orbitalEnergy": -0.30563966497915296,
        "orbitalEnergyChange": 0.0001225900205646946,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.3729857055353936
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.5067633891594596,
        "initialFilling": 1.02,
        "removedFraction": 0.0721207122784108,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.7828533946652898,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0721207122784108,
        "removed": 0.03654813658280171,
        "donor": 0.4702152525766579,
        "accretor": 1.0000000000036549,
        "escapedMass": 0.0365481365791469,
        "massRatio": 0.47021525257493935,
        "separation": 1.106460377469348,
        "periodRatio": 1.178245710217215,
        "initialAngular": 0.41284088685646464,
        "orbitalAngular": 0.40791923417851433,
        "escapedAngular": 0.004921652677950306,
        "orbitalEnergy": -0.2124862589539058,
        "orbitalEnergyChange": 0.04089543562582401,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.47021525257493935
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.468849497043993,
        "initialFilling": 1.02,
        "removedFraction": 0.046706270994618534,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 0.9940817558555864,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.046706270994618534,
        "removed": 0.11531075365386441,
        "donor": 2.353538743390129,
        "accretor": 1.023062150730773,
        "escapedMass": 0.09224860292309153,
        "massRatio": 2.300484620322428,
        "separation": 1.0004859551386676,
        "periodRatio": 1.0143068483617577,
        "initialAngular": 1.3255676204390683,
        "orbitalAngular": 1.3106568521492536,
        "escapedAngular": 0.014910768289814635,
        "orbitalEnergy": -1.2033234431097946,
        "orbitalEnergyChange": 0.03110130541220202,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.43469101734739846
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.6984290497028267,
        "initialFilling": 1.02,
        "removedFraction": 0.024772186717018484,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 1.506611207185779,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.024772186717018484,
        "removed": 0.06684598826186518,
        "donor": 2.6315830614409617,
        "accretor": 1.0334229941309325,
        "escapedMass": 0.03342299413093259,
        "massRatio": 2.5464723316457825,
        "separation": 0.9493122613512761,
        "periodRatio": 0.9291480782041636,
        "initialAngular": 1.4031443690441943,
        "orbitalAngular": 1.384083845527789,
        "escapedAngular": 0.019060523516405192,
        "orbitalEnergy": -1.4323729700844174,
        "orbitalEnergyChange": -0.08315844523300409,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.506611207185779
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.9201491775806063,
        "initialFilling": 1.02,
        "removedFraction": 0.0632785525266081,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.0302501463214866,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0632785525266081,
        "removed": 0.12150426059245775,
        "donor": 1.7986449169881487,
        "accretor": 1.109353834533212,
        "escapedMass": 0.012150426059245772,
        "massRatio": 1.6213446611873596,
        "separation": 0.9087284841595078,
        "periodRatio": 0.868073748990985,
        "initialAngular": 1.1236536102980572,
        "orbitalAngular": 1.115412446546317,
        "escapedAngular": 0.00824116375174011,
        "orbitalEnergy": -1.097871185071291,
        "orbitalEnergyChange": -0.13779659628098784,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.6213446611873596
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7987161380355245,
        "initialFilling": 1.02,
        "removedFraction": 0.018308931095525623,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 0.8596050759893842,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.018308931095525623,
        "removed": 0.014623638736176751,
        "donor": 0.7840924992993478,
        "accretor": 1.0146236387361767,
        "escapedMass": 0,
        "massRatio": 0.7727914759368505,
        "separation": 1.0079531988919668,
        "periodRatio": 1.0119534870044171,
        "initialAngular": 0.5955402842093318,
        "orbitalAngular": 0.5955402842093318,
        "escapedAngular": 0,
        "orbitalEnergy": -0.3946407361072902,
        "orbitalEnergyChange": 0.00471733291047205,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.294010132277541
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9847336534759961,
        "initialFilling": 1.02,
        "removedFraction": 0.037754132496193055,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 4.771118640562054,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.037754132496193055,
        "removed": 0.03717776482679301,
        "donor": 0.947555888649203,
        "accretor": 1,
        "escapedMass": 0.03717776482679301,
        "massRatio": 0.947555888649203,
        "separation": 0.8848136825067113,
        "periodRatio": 0.8402023596605426,
        "initialAngular": 0.6989846900034341,
        "orbitalAngular": 0.638683630231203,
        "escapedAngular": 0.0603010597722311,
        "orbitalEnergy": -0.5354550383786678,
        "orbitalEnergyChange": -0.04308821164066978,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.771118640562054
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.4677140486077407,
        "initialFilling": 1.02,
        "removedFraction": 0.05822879916988313,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.9870013594278138,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05822879916988313,
        "removed": 0.08546322657519623,
        "donor": 1.3822508220325445,
        "accretor": 1.0000000000085463,
        "escapedMass": 0.08546322656664991,
        "massRatio": 1.3822508220207315,
        "separation": 0.984428370540247,
        "periodRatio": 0.9940995013066445,
        "initialAngular": 0.9343165342339904,
        "orbitalAngular": 0.8885567590214596,
        "escapedAngular": 0.04575977521253083,
        "orbitalEnergy": -0.7020575916995304,
        "orbitalEnergyChange": 0.03179943260433993,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.3822508220207315
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.0492646777885963,
        "initialFilling": 1.02,
        "removedFraction": 0.059912585774436596,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 1.0620004508527927,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.059912585774436596,
        "removed": 0.12277674578253245,
        "donor": 1.926487932006064,
        "accretor": 1.0245553491565065,
        "escapedMass": 0.09822139662602597,
        "massRatio": 1.8803161133189128,
        "separation": 1.0089773064390668,
        "periodRatio": 1.0302244899355064,
        "initialAngular": 1.1735470143819913,
        "orbitalAngular": 1.1541297276215,
        "escapedAngular": 0.01941728676049137,
        "orbitalEnergy": -0.9781159116394202,
        "orbitalEnergyChange": 0.04651642725487792,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5318254696200617
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.4414477542159148,
        "initialFilling": 1.02,
        "removedFraction": 0.05536886665038765,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 0.19990929934429008,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05536886665038765,
        "removed": 0.1351801951370694,
        "donor": 2.3062675590788455,
        "accretor": 1.0675900975685346,
        "escapedMass": 0.0675900975685347,
        "massRatio": 2.160255667724375,
        "separation": 0.9563300089414575,
        "periodRatio": 0.9445368112862393,
        "initialAngular": 1.3160635005318577,
        "orbitalAngular": 1.3108552596779444,
        "escapedAngular": 0.0052082408539133596,
        "orbitalEnergy": -1.287290153710346,
        "orbitalEnergyChange": -0.06656627660238867,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.19990929934429008
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0364482435747049,
        "initialFilling": 1.02,
        "removedFraction": 0.024735761554911733,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.0827926679863595,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.024735761554911733,
        "removed": 0.025637336617070978,
        "donor": 1.0108109069576339,
        "accretor": 1.023073602955364,
        "escapedMass": 0.002563733661707097,
        "massRatio": 0.9880138672698555,
        "separation": 1.0006615254045643,
        "periodRatio": 1.0016231344768627,
        "initialAngular": 0.7262914496727442,
        "orbitalAngular": 0.7253661005218404,
        "escapedAngular": 0.0009253491509038092,
        "orbitalEnergy": -0.5167251514290152,
        "orbitalEnergyChange": 0.0014989703583372371,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9880138672698555
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.657600881869439,
        "initialFilling": 1.02,
        "removedFraction": 0.07977734892629088,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.1987275405437687,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07977734892629088,
        "removed": 0.2120163528597166,
        "donor": 2.4455845290097225,
        "accretor": 1.2120163528597165,
        "escapedMass": 0,
        "massRatio": 2.017781792497633,
        "separation": 0.803891067100127,
        "periodRatio": 0.7207685097950625,
        "initialAngular": 1.389605750036567,
        "orbitalAngular": 1.389605750036567,
        "escapedAngular": 0,
        "orbitalEnergy": -1.843588368354966,
        "orbitalEnergyChange": -0.5147879274202465,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4955937275864645
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.476347106776666,
        "initialFilling": 1.02,
        "removedFraction": 0.0014328993204981088,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 4.731197506084572,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0014328993204981088,
        "removed": 0.003548356086617742,
        "donor": 2.472798750690048,
        "accretor": 1,
        "escapedMass": 0.003548356086617742,
        "massRatio": 2.472798750690048,
        "separation": 0.9922137581482885,
        "periodRatio": 0.9888481958312665,
        "initialAngular": 1.3281586419980986,
        "orbitalAngular": 1.3217569014003232,
        "escapedAngular": 0.006401740597775429,
        "orbitalEnergy": -1.2461018255304634,
        "orbitalEnergyChange": -0.007928272142130544,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.731197506084572
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9786402168800122,
        "initialFilling": 1.02,
        "removedFraction": 0.07975275511853397,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 4.6069963265326805,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07975275511853397,
        "removed": 0.0780492535659806,
        "donor": 0.9005909633140317,
        "accretor": 1.0000000000078049,
        "escapedMass": 0.07804925355817567,
        "massRatio": 0.9005909633070026,
        "separation": 1.0516625286278898,
        "periodRatio": 1.1004078657276746,
        "initialAngular": 0.6957282575485999,
        "orbitalAngular": 0.6699177036512862,
        "escapedAngular": 0.02581055389731368,
        "orbitalEnergy": -0.4281748844356312,
        "orbitalEnergyChange": 0.06114522400437494,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9005909633070026
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9381623642868362,
        "initialFilling": 1.02,
        "removedFraction": 0.060508957700803875,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.2658205615705813,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.060508957700803875,
        "removed": 0.05676722681711833,
        "donor": 0.8813951374697179,
        "accretor": 1.0113534453634236,
        "escapedMass": 0.045413781453694665,
        "massRatio": 0.871500602989486,
        "separation": 1.0264416174056625,
        "periodRatio": 1.052325251217079,
        "initialAngular": 0.6738805607579432,
        "orbitalAngular": 0.6564388407687934,
        "escapedAngular": 0.017441719989149784,
        "orbitalEnergy": -0.4342195376194857,
        "orbitalEnergyChange": 0.03486164452393242,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.1474461366632747
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.8256106781424023,
        "initialFilling": 1.02,
        "removedFraction": 0.07994676283560694,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.812081055121962,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07994676283560694,
        "removed": 0.06600490107999525,
        "donor": 0.7596057770624071,
        "accretor": 1.0330024505399977,
        "escapedMass": 0.033002450539997626,
        "massRatio": 0.7353378268031467,
        "separation": 0.9810464921774716,
        "periodRatio": 0.9806087741323671,
        "initialAngular": 0.6110422182941376,
        "orbitalAngular": 0.5804859501928382,
        "escapedAngular": 0.03055626810129941,
        "orbitalEnergy": -0.3999171473556718,
        "orbitalEnergyChange": 0.012888191715529351,
        "massBalanceResidual": 2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.812081055121962
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.2683214895310813,
        "initialFilling": 1.02,
        "removedFraction": 0.04445232809521258,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.9554229417699391,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04445232809521258,
        "removed": 0.056379842982844354,
        "donor": 1.2119416465482369,
        "accretor": 1.0507418586845598,
        "escapedMass": 0.005637984298284434,
        "massRatio": 1.1534152147183758,
        "separation": 0.9835741700692234,
        "periodRatio": 0.9766772479186164,
        "initialAngular": 0.8421259441851662,
        "orbitalAngular": 0.8395941335641528,
        "escapedAngular": 0.002531810621013375,
        "orbitalEnergy": -0.6473522064033546,
        "orbitalEnergyChange": -0.013191461637813928,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.1534152147183758
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.5961237138253637,
        "initialFilling": 1.02,
        "removedFraction": 0.044380423007532956,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.476688658737112,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.044380423007532956,
        "removed": 0.07083664559192411,
        "donor": 1.5252870682334396,
        "accretor": 1.070836645591924,
        "escapedMass": 0,
        "massRatio": 1.4243881870425812,
        "separation": 0.9549562461214953,
        "periodRatio": 0.9332010322495083,
        "initialAngular": 0.990612623442942,
        "orbitalAngular": 0.990612623442942,
        "escapedAngular": 0,
        "orbitalEnergy": -0.8551874990846619,
        "orbitalEnergyChange": -0.05712564217198002,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7020558083090208
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.9085422591655514,
        "initialFilling": 1.02,
        "removedFraction": 0.06863372993655503,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.2142955248593355,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06863372993655503,
        "removed": 0.19962410392462612,
        "donor": 2.708918155240925,
        "accretor": 1,
        "escapedMass": 0.19962410392462612,
        "massRatio": 2.708918155240925,
        "separation": 0.9631597584877389,
        "periodRatio": 0.9703564003600597,
        "initialAngular": 1.4711873170239929,
        "orbitalAngular": 1.3804523598849032,
        "escapedAngular": 0.09073495713908963,
        "orbitalEnergy": -1.4062662665092074,
        "orbitalEnergyChange": 0.04800486307356833,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.2142955248593355
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.937034722941462,
        "initialFilling": 1.02,
        "removedFraction": 0.041551429172977807,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.255237805529032,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.041551429172977807,
        "removed": 0.03893513192292304,
        "donor": 0.8980995910185389,
        "accretor": 1.0000000000038936,
        "escapedMass": 0.03893513191902953,
        "massRatio": 0.8980995910150421,
        "separation": 1.0276900603380528,
        "periodRatio": 1.0524523430532915,
        "initialAngular": 0.6732664626611692,
        "orbitalAngular": 0.6608396292496914,
        "escapedAngular": 0.012426833411477767,
        "orbitalEnergy": -0.43695060684279213,
        "orbitalEnergyChange": 0.03156675462793884,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.8980995910150421
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9664677857304923,
        "initialFilling": 1.02,
        "removedFraction": 0.026898709470406176,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.586633769131732,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.026898709470406176,
        "removed": 0.02599673618087128,
        "donor": 0.940471049549621,
        "accretor": 1.0051993472361742,
        "escapedMass": 0.020797388944697025,
        "massRatio": 0.9356065064461835,
        "separation": 1.0112300107441186,
        "periodRatio": 1.022312585574461,
        "initialAngular": 0.6891979303154635,
        "orbitalAngular": 0.6815346935021445,
        "escapedAngular": 0.007663236813319041,
        "orbitalEnergy": -0.4674311853176461,
        "orbitalEnergyChange": 0.015802707547600048,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.0688254016086414
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.5322465145145543,
        "initialFilling": 1.02,
        "removedFraction": 0.04451331059448421,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 1.152717198629398,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04451331059448421,
        "removed": 0.023692054413418005,
        "donor": 0.5085544601011363,
        "accretor": 1.011846027206709,
        "escapedMass": 0.011846027206709003,
        "massRatio": 0.5026006392544191,
        "separation": 1.0427505305964209,
        "periodRatio": 1.068946452305869,
        "initialAngular": 0.42998024718330985,
        "orbitalAngular": 0.42615060372846153,
        "escapedAngular": 0.0038296434548483194,
        "orbitalEnergy": -0.24674109241510736,
        "orbitalEnergyChange": 0.019382164842169786,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.152717198629398
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.6627374023548327,
        "initialFilling": 1.02,
        "removedFraction": 0.07610178892500699,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 4.3311703957966525,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07610178892500699,
        "removed": 0.05043550190671491,
        "donor": 0.6123019004481178,
        "accretor": 1.0453919517160435,
        "escapedMass": 0.00504355019067149,
        "massRatio": 0.5857151467858588,
        "separation": 1.0647031192300176,
        "periodRatio": 1.1002780757663284,
        "initialAngular": 0.5139603878094791,
        "orbitalAngular": 0.512987590533434,
        "escapedAngular": 0.0009727972760450454,
        "orbitalEnergy": -0.30059810438604284,
        "orbitalEnergyChange": 0.030770596791373506,
        "massBalanceResidual": 2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5857151467858588
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.5552359723136762,
        "initialFilling": 1.02,
        "removedFraction": 0.0038855335768312217,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 4.182123282144312,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0038855335768312217,
        "removed": 0.006042921590320541,
        "donor": 1.5491930507233556,
        "accretor": 1.0060429215903206,
        "escapedMass": 0,
        "massRatio": 1.5398876305142533,
        "separation": 0.9957458058489246,
        "periodRatio": 0.9936255004061032,
        "initialAngular": 0.9729281887970914,
        "orbitalAngular": 0.9729281887970914,
        "escapedAngular": 0,
        "orbitalEnergy": -0.782606712326746,
        "orbitalEnergyChange": -0.0049887261699078644,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6493980341059333
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1132214268553071,
        "initialFilling": 1.02,
        "removedFraction": 0.010470937946811318,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 2.3574209257843908,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.010470937946811318,
        "removed": 0.011656472481662676,
        "donor": 1.1015649543736445,
        "accretor": 1,
        "escapedMass": 0.011656472481662676,
        "massRatio": 1.1015649543736445,
        "separation": 0.9894976521541065,
        "periodRatio": 0.9870138483070604,
        "initialAngular": 0.7657888772289676,
        "orbitalAngular": 0.755868219677942,
        "escapedAngular": 0.009920657551025558,
        "orbitalEnergy": -0.5566283820762844,
        "orbitalEnergyChange": -1.7668648630841943e-05,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.3574209257843908
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.4805299993720835,
        "initialFilling": 1.02,
        "removedFraction": 0.0712066203635186,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.2411194437299857,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0712066203635186,
        "removed": 0.176630157965607,
        "donor": 2.3038998414064764,
        "accretor": 1.000000000017663,
        "escapedMass": 0.17663015794794398,
        "massRatio": 2.3038998413657827,
        "separation": 0.8577510930302812,
        "periodRatio": 0.8153633275405969,
        "initialAngular": 1.3296024081994113,
        "orbitalAngular": 1.1738991776711472,
        "escapedAngular": 0.15570323052826418,
        "orbitalEnergy": -1.342988578019705,
        "orbitalEnergyChange": -0.1027235783336633,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.3038998413657827
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1048548638238571,
        "initialFilling": 1.02,
        "removedFraction": 0.07520666417665779,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 2.032963457272854,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07520666417665779,
        "removed": 0.0830924487075478,
        "donor": 1.0217624151163094,
        "accretor": 1.0166184897415096,
        "escapedMass": 0.06647395896603824,
        "massRatio": 1.0050598385005842,
        "separation": 1.0308676902257743,
        "periodRatio": 1.0635864567071023,
        "initialAngular": 0.761542515584685,
        "orbitalAngular": 0.7386976551416169,
        "escapedAngular": 0.022844860443068105,
        "orbitalEnergy": -0.503819536289221,
        "orbitalEnergyChange": 0.04860789562270751,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9949656345754172
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.8547044727602042,
        "initialFilling": 1.02,
        "removedFraction": 0.028870519986376166,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.6204533348442056,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.028870519986376166,
        "removed": 0.0824168025360209,
        "donor": 2.772287670224183,
        "accretor": 1.0412084012680105,
        "escapedMass": 0.04120840126801045,
        "massRatio": 2.662567519478348,
        "separation": 0.9146168323794616,
        "periodRatio": 0.8794125859769909,
        "initialAngular": 1.4540040345848346,
        "orbitalAngular": 1.4136239689837222,
        "escapedAngular": 0.0403800656011124,
        "orbitalEnergy": -1.5779991745065323,
        "orbitalEnergyChange": -0.15064693812643015,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.6204533348442056
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.019305884547066,
        "initialFilling": 1.02,
        "removedFraction": 0.014110644841566683,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.323459226905834,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.014110644841566683,
        "removed": 0.028493708163329304,
        "donor": 1.9908121763837365,
        "accretor": 1.0256443373469963,
        "escapedMass": 0.00284937081633293,
        "massRatio": 1.9410356045384223,
        "separation": 0.9734561342341034,
        "periodRatio": 0.9609031157434015,
        "initialAngular": 1.1621135209911078,
        "orbitalAngular": 1.1599432277829567,
        "escapedAngular": 0.0021702932081510973,
        "orbitalEnergy": -1.0487710558400916,
        "orbitalEnergyChange": -0.03911811356655859,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.9410356045384223
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.3517963453312405,
        "initialFilling": 1.02,
        "removedFraction": 0.06608959044329822,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 2.2071572110173294,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06608959044329822,
        "removed": 0.02325007638239079,
        "donor": 0.3285462689488497,
        "accretor": 1.0232500763823908,
        "escapedMass": 0,
        "massRatio": 0.32108110864784456,
        "separation": 1.0950299463119693,
        "periodRatio": 1.1458796171832717,
        "initialAngular": 0.302576844526725,
        "orbitalAngular": 0.302576844526725,
        "escapedAngular": 0,
        "orbitalEnergy": -0.15350493195611764,
        "orbitalEnergyChange": 0.022393240709502604,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.1144778470812504
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.2318594558513725,
        "initialFilling": 1.02,
        "removedFraction": 0.023304446237161755,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.299874403921422,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.023304446237161755,
        "removed": 0.028707802460627645,
        "donor": 1.203151653390745,
        "accretor": 1,
        "escapedMass": 0.028707802460627645,
        "massRatio": 1.203151653390745,
        "separation": 0.950062924053239,
        "periodRatio": 0.9320512223456372,
        "initialAngular": 0.8245703989634641,
        "orbitalAngular": 0.7900859901759386,
        "escapedAngular": 0.034484408787525456,
        "orbitalEnergy": -0.63319577205358,
        "orbitalEnergyChange": -0.017266044127893787,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.299874403921422
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9865541874081827,
        "initialFilling": 1.02,
        "removedFraction": 0.03290567657910287,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.3358882257365623,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03290567657910287,
        "removed": 0.0324632330186133,
        "donor": 0.9540909543895694,
        "accretor": 1.0000000000032463,
        "escapedMass": 0.03246323301536697,
        "massRatio": 0.9540909543864721,
        "separation": 1.018640096784662,
        "periodRatio": 1.0365946707183105,
        "initialAngular": 0.699955993079681,
        "orbitalAngular": 0.6888549362680014,
        "escapedAngular": 0.01110105681167961,
        "orbitalEnergy": -0.4683160212347105,
        "orbitalEnergyChange": 0.02496107246938084,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9540909543864721
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.6946347702178173,
        "initialFilling": 1.02,
        "removedFraction": 0.017239502975717188,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 0.2568362226593308,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.017239502975717188,
        "removed": 0.011975158188206686,
        "donor": 0.6826596120296106,
        "accretor": 1.0023950316376413,
        "escapedMass": 0.00958012655056535,
        "massRatio": 0.6810285271609239,
        "separation": 1.0078716671464576,
        "periodRatio": 1.014702936075116,
        "initialAngular": 0.533603244803758,
        "orbitalAngular": 0.5292230347790761,
        "escapedAngular": 0.004380210024681919,
        "orbitalEnergy": -0.339475066967392,
        "orbitalEnergyChange": 0.007842318141516647,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.4683672711461977
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0879563676309771,
        "initialFilling": 1.02,
        "removedFraction": 0.051223893044516446,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 1.9031913927872668,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.051223893044516446,
        "removed": 0.055729360612629786,
        "donor": 1.0322270070183475,
        "accretor": 1.027864680306315,
        "escapedMass": 0.027864680306314893,
        "massRatio": 1.0042440671380326,
        "separation": 0.9857255655601748,
        "periodRatio": 0.9852613925508384,
        "initialAngular": 0.7529233552739379,
        "orbitalAngular": 0.7339152231218897,
        "escapedAngular": 0.01900813215204822,
        "orbitalEnergy": -0.538177013786546,
        "orbitalEnergyChange": 0.005801170028942537,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.9031913927872668
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.584837160760071,
        "initialFilling": 1.02,
        "removedFraction": 0.02921515387482941,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 0.8884979651658796,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02921515387482941,
        "removed": 0.04630126151815323,
        "donor": 1.5385358992419178,
        "accretor": 1.041671135366338,
        "escapedMass": 0.0046301261518153225,
        "massRatio": 1.4769881270645375,
        "separation": 0.9708033286754703,
        "periodRatio": 0.9573840811632075,
        "initialAngular": 0.9857528730203639,
        "orbitalAngular": 0.9830522809836738,
        "escapedAngular": 0.0027005920366900416,
        "orbitalEnergy": -0.8254238472543122,
        "orbitalEnergyChange": -0.03300526687427663,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.4769881270645375
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.6511487284325994,
        "initialFilling": 1.02,
        "removedFraction": 0.02817184670828283,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 2.6732374631450515,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02817184670828283,
        "removed": 0.018344062161696477,
        "donor": 0.6328046662709029,
        "accretor": 1.0183440621616964,
        "escapedMass": 0,
        "massRatio": 0.6214055639776725,
        "separation": 1.021014657604837,
        "periodRatio": 1.0316870168431926,
        "initialAngular": 0.5067422315379121,
        "orbitalAngular": 0.5067422315379121,
        "escapedAngular": 0,
        "orbitalEnergy": -0.3155747420496851,
        "orbitalEnergyChange": 0.009999622166614597,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.6092549825252782
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1914209659094923,
        "initialFilling": 1.02,
        "removedFraction": 0.05151215636171401,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 0.7699474618653767,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05151215636171401,
        "removed": 0.0613726630885541,
        "donor": 1.1300483028209383,
        "accretor": 1,
        "escapedMass": 0.0613726630885541,
        "massRatio": 1.1300483028209383,
        "separation": 1.034197307502039,
        "periodRatio": 1.0667761174724442,
        "initialAngular": 0.8048266194025981,
        "orbitalAngular": 0.7874155422312983,
        "escapedAngular": 0.01741107717129986,
        "orbitalEnergy": -0.5463407681607749,
        "orbitalEnergyChange": 0.04936971479397123,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7699474618653767
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.1446450178627856,
        "initialFilling": 1.02,
        "removedFraction": 0.04779015789739788,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 0.8009512437623926,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04779015789739788,
        "removed": 0.10249292403753021,
        "donor": 2.0421520938252553,
        "accretor": 1.0000000000102494,
        "escapedMass": 0.10249292402728093,
        "massRatio": 2.0421520938043245,
        "separation": 0.9287549673403458,
        "periodRatio": 0.9100119104360294,
        "initialAngular": 1.2093989974690218,
        "orbitalAngular": 1.128361338352385,
        "escapedAngular": 0.08103765911663685,
        "orbitalEnergy": -1.0994030533662986,
        "orbitalEnergyChange": -0.027080544434905818,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.0421520938043245
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.0085593399009665,
        "initialFilling": 1.02,
        "removedFraction": 0.07501472626812757,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.149322684516664,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07501472626812757,
        "removed": 0.15067152907596199,
        "donor": 1.8578878108250045,
        "accretor": 1.0301343058151924,
        "escapedMass": 0.1205372232607696,
        "massRatio": 1.8035394029080247,
        "separation": 1.0127830836692844,
        "periodRatio": 1.0402882464703567,
        "initialAngular": 1.1579915116987525,
        "orbitalAngular": 1.1333689171243955,
        "escapedAngular": 0.024622594574357004,
        "orbitalEnergy": -0.9448587763496269,
        "orbitalEnergyChange": 0.05942089360085634,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5544652910757598
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.15754349572816864,
        "initialFilling": 1.02,
        "removedFraction": 0.057138264840468765,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 0.6606529168435372,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.057138264840468765,
        "removed": 0.009001761982809359,
        "donor": 0.14854173374535928,
        "accretor": 1.0045008809914047,
        "escapedMass": 0.004500880991404679,
        "massRatio": 0.14787616074438298,
        "separation": 1.1047799313995244,
        "periodRatio": 1.1634819366092843,
        "initialAngular": 0.14643059203793748,
        "orbitalAngular": 0.14605418970019432,
        "escapedAngular": 0.00037640233774316467,
        "orbitalEnergy": -0.06752942290605601,
        "orbitalEnergyChange": 0.011242324958028307,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6606529168435372
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.4329302864032798,
        "initialFilling": 1.02,
        "removedFraction": 0.05983477489091456,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.1746456619235688,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05983477489091456,
        "removed": 0.08573906112131398,
        "donor": 1.3471912252819658,
        "accretor": 1.0771651550091825,
        "escapedMass": 0.008573906112131395,
        "massRatio": 1.2506821437892515,
        "separation": 0.9624682253142639,
        "periodRatio": 0.9459021285227893,
        "initialAngular": 0.9186714708019235,
        "orbitalAngular": 0.9143374561495096,
        "escapedAngular": 0.004334014652413898,
        "orbitalEnergy": -0.7538677157544772,
        "orbitalEnergyChange": -0.0374025725528373,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.2506821437892515
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.8848920382675715,
        "initialFilling": 1.02,
        "removedFraction": 0.07735262068919838,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.9266356994514355,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07735262068919838,
        "removed": 0.06844871818700307,
        "donor": 0.8164433200805684,
        "accretor": 1.068448718187003,
        "escapedMass": 0,
        "massRatio": 0.7641389859739361,
        "separation": 1.0290136368422815,
        "periodRatio": 1.0438346168417802,
        "initialAngular": 0.6445358042349907,
        "orbitalAngular": 0.6445358042349907,
        "escapedAngular": 0,
        "orbitalEnergy": -0.4238660147834986,
        "orbitalEnergyChange": 0.018580004350287116,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.308662453238721
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.6052852238877677,
        "initialFilling": 1.02,
        "removedFraction": 0.0019676401931792496,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 0.41620235511800274,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0019676401931792496,
        "removed": 0.003158623728038322,
        "donor": 1.6021266001597294,
        "accretor": 1,
        "escapedMass": 0.003158623728038322,
        "massRatio": 1.6021266001597294,
        "separation": 1.0017176922831823,
        "periodRatio": 1.003185955657606,
        "initialAngular": 0.9945453014965682,
        "orbitalAngular": 0.9940432763326356,
        "escapedAngular": 0.0005020251639326068,
        "orbitalEnergy": -0.7996896792888097,
        "orbitalEnergyChange": 0.0029529326550741253,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.41620235511800274
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.574431721831206,
        "initialFilling": 1.02,
        "removedFraction": 0.0040225174929946666,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 4.987747714540456,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0040225174929946666,
        "removed": 0.010355696635586406,
        "donor": 2.56407602519562,
        "accretor": 1.0000000000010356,
        "escapedMass": 0.010355696634550837,
        "massRatio": 2.5640760251929646,
        "separation": 0.9902985948803283,
        "periodRatio": 0.9869139037272395,
        "initialAngular": 1.3616888310684137,
        "orbitalAngular": 1.3515760879774976,
        "escapedAngular": 0.010112743090916032,
        "orbitalEnergy": -1.2945974267024625,
        "orbitalEnergyChange": -0.007381565786859445,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.5640760251929646
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.5263171725790017,
        "initialFilling": 1.02,
        "removedFraction": 0.02139923402108252,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.706331284984481,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02139923402108252,
        "removed": 0.011262784345332533,
        "donor": 0.5150543882336691,
        "accretor": 1.0022525568690666,
        "escapedMass": 0.009010227476266027,
        "massRatio": 0.5138968064523036,
        "separation": 1.0101242062759301,
        "periodRatio": 1.0182345759165592,
        "initialAngular": 0.4260152493437907,
        "orbitalAngular": 0.42119279257501185,
        "escapedAngular": 0.004822456768778849,
        "orbitalEnergy": -0.2555203480555025,
        "orbitalEnergyChange": 0.00763823823399834,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.9459159649259528
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9510152722825296,
        "initialFilling": 1.02,
        "removedFraction": 0.07945189650170505,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 0.5222842257586309,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07945189650170505,
        "removed": 0.07555996698493238,
        "donor": 0.8754553052975972,
        "accretor": 1.0377799834924661,
        "escapedMass": 0.03777998349246619,
        "massRatio": 0.8435846896481913,
        "separation": 1.0527697178948885,
        "periodRatio": 1.0908027386379158,
        "initialAngular": 0.6808589595414225,
        "orbitalAngular": 0.6739408317702248,
        "escapedAngular": 0.006918127771197713,
        "orbitalEnergy": -0.4314951203653649,
        "orbitalEnergyChange": 0.044012515775899874,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5222842257586309
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.2937401840812526,
        "initialFilling": 1.02,
        "removedFraction": 0.029350152211263775,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 0.15998761154478416,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.029350152211263775,
        "removed": 0.06732162353587695,
        "donor": 2.2264185605453757,
        "accretor": 1.0605894611822893,
        "escapedMass": 0.006732162353587694,
        "massRatio": 2.099227497568646,
        "separation": 0.9332362475002514,
        "periodRatio": 0.9024677376772372,
        "initialAngular": 1.2638617020745908,
        "orbitalAngular": 1.2581995877541534,
        "escapedAngular": 0.005662114320437395,
        "orbitalEnergy": -1.265122345933328,
        "orbitalEnergyChange": -0.11825225389270178,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.099227497568646
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.902281923091505,
        "initialFilling": 1.02,
        "removedFraction": 0.04695362917147577,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 4.293578419613186,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04695362917147577,
        "removed": 0.13627266916791608,
        "donor": 2.7660092539235888,
        "accretor": 1.1362726691679161,
        "escapedMass": 0,
        "massRatio": 2.4342830105639313,
        "separation": 0.8527207178140398,
        "periodRatio": 0.7874268549397752,
        "initialAngular": 1.4691978217436583,
        "orbitalAngular": 1.4691978217436583,
        "escapedAngular": 0,
        "orbitalEnergy": -1.8428898537588487,
        "orbitalEnergyChange": -0.3917488922130963,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4107985783330665
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.6829799160244876,
        "initialFilling": 1.02,
        "removedFraction": 0.061482919463887814,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 2.267672020371538,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.061482919463887814,
        "removed": 0.10347451863627424,
        "donor": 1.5795053973882134,
        "accretor": 1,
        "escapedMass": 0.10347451863627424,
        "massRatio": 1.5795053973882134,
        "separation": 0.9132013251732926,
        "periodRatio": 0.890000580538806,
        "initialAngular": 1.027472536755693,
        "orbitalAngular": 0.9398015573072376,
        "escapedAngular": 0.08767097944845537,
        "orbitalEnergy": -0.8648177317791783,
        "orbitalEnergyChange": -0.023327773766934512,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.267672020371538
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7069241313380189,
        "initialFilling": 1.02,
        "removedFraction": 0.07927587824873626,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.7818546998430977,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07927587824873626,
        "removed": 0.05604203136704643,
        "donor": 0.6508820999709725,
        "accretor": 1.0000000000056042,
        "escapedMass": 0.05604203136144222,
        "massRatio": 0.6508820999673248,
        "separation": 1.0903392024207637,
        "periodRatio": 1.157687970273495,
        "initialAngular": 0.5410852531633875,
        "orbitalAngular": 0.5289627775477763,
        "escapedAngular": 0.012122475615611195,
        "orbitalEnergy": -0.29847688615136286,
        "orbitalEnergyChange": 0.05498517951764659,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6508820999673248
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.6092072853236459,
        "initialFilling": 1.02,
        "removedFraction": 0.014914165856316686,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.823505177849438,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.014914165856316686,
        "removed": 0.023999984350509984,
        "donor": 1.5852073009731358,
        "accretor": 1.004799996870102,
        "escapedMass": 0.01919998748040799,
        "massRatio": 1.5776346595451545,
        "separation": 1.003826635545069,
        "periodRatio": 1.009466404375742,
        "initialAngular": 0.9962256028381423,
        "orbitalAngular": 0.991618344837763,
        "escapedAngular": 0.004607258000379311,
        "orbitalEnergy": -0.7933721992699391,
        "orbitalEnergyChange": 0.011231443391883866,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6338603135711461
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.5213542570942081,
        "initialFilling": 1.02,
        "removedFraction": 0.05458827330730855,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.8254279900924306,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05458827330730855,
        "removed": 0.028459828676187442,
        "donor": 0.49289442841802067,
        "accretor": 1.0142299143380937,
        "escapedMass": 0.014229914338093721,
        "massRatio": 0.4859789890339541,
        "separation": 1.0217420392401637,
        "periodRatio": 1.0376539144735548,
        "initialAngular": 0.4226858865987238,
        "orbitalAngular": 0.4116104705545456,
        "escapedAngular": 0.011075416044178221,
        "orbitalEnergy": -0.24463526737330799,
        "orbitalEnergyChange": 0.01604186117379608,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.8254279900924306
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0948729148949496,
        "initialFilling": 1.02,
        "removedFraction": 0.044764156872406605,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.371638673252892,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.044764156872406605,
        "removed": 0.04901106291770661,
        "donor": 1.0458618519772431,
        "accretor": 1.044109956625936,
        "escapedMass": 0.00490110629177066,
        "massRatio": 1.001677883962498,
        "separation": 0.998016516690372,
        "periodRatio": 0.9981946087599486,
        "initialAngular": 0.7564580892734019,
        "orbitalAngular": 0.7546041857381607,
        "escapedAngular": 0.0018539035352411748,
        "orbitalEnergy": -0.5470825154908056,
        "orbitalEnergyChange": 0.0003539419566692681,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.001677883962498
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.7680207179044374,
        "initialFilling": 1.02,
        "removedFraction": 0.07915876011364162,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 4.6354458222282116,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07915876011364162,
        "removed": 0.1399543278845458,
        "donor": 1.6280663900198915,
        "accretor": 1.1399543278845459,
        "escapedMass": 0,
        "massRatio": 1.428185630069191,
        "separation": 0.9075186831417632,
        "periodRatio": 0.8645365565896147,
        "initialAngular": 1.0626804271190273,
        "orbitalAngular": 1.0626804271190273,
        "escapedAngular": 0,
        "orbitalEnergy": -1.0225251346680162,
        "orbitalEnergyChange": -0.1385147757157975,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7001890923321733
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.705669619922992,
        "initialFilling": 1.02,
        "removedFraction": 0.005741723822429776,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.880072271858808,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.005741723822429776,
        "removed": 0.009793483889906585,
        "donor": 1.6958761360330854,
        "accretor": 1,
        "escapedMass": 0.009793483889906585,
        "massRatio": 1.6958761360330854,
        "separation": 0.9799543022979994,
        "periodRatio": 0.9718430906224035,
        "initialAngular": 1.0369493210107186,
        "orbitalAngular": 1.0224617584162372,
        "escapedAngular": 0.014487562594481362,
        "orbitalEnergy": -0.8652832749732536,
        "orbitalEnergyChange": -0.01244846501175767,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.880072271858808
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.795283286331687,
        "initialFilling": 1.02,
        "removedFraction": 0.01093010819517076,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.1543270188965837,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.01093010819517076,
        "removed": 0.03055274875575783,
        "donor": 2.7647305375759292,
        "accretor": 1.0000000000030553,
        "escapedMass": 0.030552748752702554,
        "massRatio": 2.764730537567482,
        "separation": 0.9694346919867706,
        "periodRatio": 0.9583695055444957,
        "initialAngular": 1.4348408375965387,
        "orbitalAngular": 1.4029595178751297,
        "escapedAngular": 0.03188131972140895,
        "orbitalEnergy": -1.4259498656471152,
        "orbitalEnergyChange": -0.028308222481271628,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.764730537567482
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.24021346102235838,
        "initialFilling": 1.02,
        "removedFraction": 0.010903266528621317,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.6885449595632966,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.010903266528621317,
        "removed": 0.0026191113892893615,
        "donor": 0.23759434963306902,
        "accretor": 1.0005238222778579,
        "escapedMass": 0.002095289111431489,
        "massRatio": 0.2374699575789672,
        "separation": 1.0050414395456666,
        "periodRatio": 1.0084238875899791,
        "initialAngular": 0.2156994909872772,
        "orbitalAngular": 0.214177811858686,
        "escapedAngular": 0.0015216791285911913,
        "orbitalEnergy": -0.11826318671693867,
        "orbitalEnergyChange": 0.0018435437942405236,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.211058991188241
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9608861047890969,
        "initialFilling": 1.02,
        "removedFraction": 0.047658185986801986,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 1.3801015601609836,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.047658185986801986,
        "removed": 0.04579408869417248,
        "donor": 0.9150920160949244,
        "accretor": 1.0228970443470862,
        "escapedMass": 0.02289704434708624,
        "massRatio": 0.8946081339779669,
        "separation": 1.008252878137899,
        "periodRatio": 1.0183679658230167,
        "initialAngular": 0.6861921234667695,
        "orbitalAngular": 0.6751585387960863,
        "escapedAngular": 0.01103358467068316,
        "orbitalEnergy": -0.4641915430471458,
        "orbitalEnergyChange": 0.016251509347402604,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.3801015601609836
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.3459409228875303,
        "initialFilling": 1.02,
        "removedFraction": 0.008240125151351094,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 4.582733665721025,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.008240125151351094,
        "removed": 0.011090721650918242,
        "donor": 1.3348502012366121,
        "accretor": 1.0099816494858265,
        "escapedMass": 0.001109072165091824,
        "massRatio": 1.321657875582367,
        "separation": 0.9949626586307045,
        "periodRatio": 0.9926881919644801,
        "initialAngular": 0.8787542982564874,
        "orbitalAngular": 0.8782002430429715,
        "escapedAngular": 0.0005540552135159249,
        "orbitalEnergy": -0.6774999023163523,
        "orbitalEnergyChange": -0.004529440872587109,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.321657875582367
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9349146481254138,
        "initialFilling": 1.02,
        "removedFraction": 0.05210223793052137,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.5582507553161125,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05210223793052137,
        "removed": 0.048711145441359974,
        "donor": 0.8862035026840538,
        "accretor": 1.04871114544136,
        "escapedMass": 0,
        "massRatio": 0.845040606783183,
        "separation": 1.0119644052715466,
        "periodRatio": 1.018000181465499,
        "initialAngular": 0.6721110848432402,
        "orbitalAngular": 0.6721110848432402,
        "escapedAngular": 0,
        "orbitalEnergy": -0.45919178854149295,
        "orbitalEnergyChange": 0.008265535521213951,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.1833750851414124
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.5170205582748169,
        "initialFilling": 1.02,
        "removedFraction": 0.031139243030920624,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 4.226778707175981,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.031139243030920624,
        "removed": 0.047238871847022405,
        "donor": 1.4697816864277944,
        "accretor": 1,
        "escapedMass": 0.047238871847022405,
        "massRatio": 1.4697816864277944,
        "separation": 0.8906181440528934,
        "periodRatio": 0.8484991393888729,
        "initialAngular": 0.9561985590538413,
        "orbitalAngular": 0.882610963908842,
        "escapedAngular": 0.07358759514499935,
        "orbitalEnergy": -0.825146947792535,
        "orbitalEnergyChange": -0.06663666865512652,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.226778707175981
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.2799392706830988,
        "initialFilling": 1.02,
        "removedFraction": 0.07996052290312947,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 4.280635122221429,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07996052290312947,
        "removed": 0.1823051362712002,
        "donor": 2.0976341344118987,
        "accretor": 1.0000000000182305,
        "escapedMass": 0.18230513625296968,
        "massRatio": 2.0976341343736578,
        "separation": 0.868709412096209,
        "periodRatio": 0.8331623399824224,
        "initialAngular": 1.2588975194177014,
        "orbitalAngular": 1.1108411116484562,
        "escapedAngular": 0.14805640776924522,
        "orbitalEnergy": -1.2073278505113216,
        "orbitalEnergyChange": -0.06735821516977225,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.0976341343736578
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.190721968410071,
        "initialFilling": 1.02,
        "removedFraction": 0.04602766741998494,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.8964089027023876,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04602766741998494,
        "removed": 0.1008338221716335,
        "donor": 2.0898881462384375,
        "accretor": 1.0201667644343266,
        "escapedMass": 0.08066705773730681,
        "massRatio": 2.048575016455532,
        "separation": 1.0045331017612973,
        "periodRatio": 1.0197808007625766,
        "initialAngular": 1.22643004726384,
        "orbitalAngular": 1.2116921969425887,
        "escapedAngular": 0.014737850321251411,
        "orbitalEnergy": -1.0612066563259681,
        "orbitalEnergyChange": 0.03415432787906747,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4881441938749265
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.452083130797837,
        "initialFilling": 1.02,
        "removedFraction": 0.07882279834710061,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 3.6089294077479286,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07882279834710061,
        "removed": 0.11445725580210443,
        "donor": 1.3376258749957326,
        "accretor": 1.0572286279010523,
        "escapedMass": 0.057228627901052216,
        "massRatio": 1.2652191207226022,
        "separation": 0.8683463579435717,
        "periodRatio": 0.8187805334322813,
        "initialAngular": 0.9273077412947783,
        "orbitalAngular": 0.8515506848383094,
        "escapedAngular": 0.07575705645646891,
        "orbitalEnergy": -0.8142927966069624,
        "orbitalEnergyChange": -0.0882512312080439,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.6089294077479286
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.9279232721659354,
        "initialFilling": 1.02,
        "removedFraction": 0.00465205998159945,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 3.1019119633245285,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.00465205998159945,
        "removed": 0.013620874683636864,
        "donor": 2.9143023974822984,
        "accretor": 1.012258787215273,
        "escapedMass": 0.001362087468363686,
        "massRatio": 2.8790092358689745,
        "separation": 0.9827470989606486,
        "periodRatio": 0.9744015564307963,
        "initialAngular": 1.477332301782859,
        "orbitalAngular": 1.4758454126879317,
        "escapedAngular": 0.001486889094927335,
        "orbitalEnergy": -1.5009091421251397,
        "orbitalEnergyChange": -0.03694750604217201,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.8790092358689745
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.0332561919582077,
        "initialFilling": 1.02,
        "removedFraction": 0.02336425947956741,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 0.8889099641819485,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02336425947956741,
        "removed": 0.047505525257348684,
        "donor": 1.985750666700859,
        "accretor": 1.0475055252573486,
        "escapedMass": 0,
        "massRatio": 1.8956946945105657,
        "separation": 0.9554811601691389,
        "periodRatio": 0.9339705716519969,
        "initialAngular": 1.1674480312893094,
        "orbitalAngular": 1.1674480312893094,
        "escapedAngular": 0,
        "orbitalEnergy": -1.088501208534765,
        "orbitalEnergyChange": -0.07187311255566109,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5275111033943058
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.5225202476023696,
        "initialFilling": 1.02,
        "removedFraction": 0.07446001392789185,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 0.9301371702342295,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07446001392789185,
        "removed": 0.03890686491407794,
        "donor": 0.4836133826882917,
        "accretor": 1,
        "escapedMass": 0.03890686491407794,
        "massRatio": 0.4836133826882917,
        "separation": 1.0840603638906237,
        "periodRatio": 1.1434083673556652,
        "initialAngular": 0.4234689631071487,
        "orbitalAngular": 0.4133944788794851,
        "escapedAngular": 0.010074484227663605,
        "orbitalEnergy": -0.22305648227587346,
        "orbitalEnergyChange": 0.03820364152531133,
        "massBalanceResidual": 2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9301371702342295
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.958019656094257,
        "initialFilling": 1.02,
        "removedFraction": 0.04833366795442998,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.623209227679763,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04833366795442998,
        "removed": 0.142971939860337,
        "donor": 2.81504771623392,
        "accretor": 1.0000000000142972,
        "escapedMass": 0.14297193984603979,
        "massRatio": 2.8150477161936727,
        "separation": 0.8606463138789833,
        "periodRatio": 0.8132537148239728,
        "initialAngular": 1.4868326255369642,
        "orbitalAngular": 1.3370514832971485,
        "escapedAngular": 0.14978114223981565,
        "orbitalEnergy": -1.6354265805116754,
        "orbitalEnergyChange": -0.156416752464547,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.8150477161936727
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.4646761107142083,
        "initialFilling": 1.02,
        "removedFraction": 0.013440599674358964,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.573877508274745,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.013440599674358964,
        "removed": 0.03312672493106571,
        "donor": 2.4315493857831427,
        "accretor": 1.006625344986213,
        "escapedMass": 0.026501379944852566,
        "massRatio": 2.4155455630977043,
        "separation": 0.9998841405506076,
        "periodRatio": 1.0036721389420877,
        "initialAngular": 1.3241236266361183,
        "orbitalAngular": 1.3199632004080029,
        "escapedAngular": 0.00416042622811541,
        "orbitalEnergy": -1.2239714283132415,
        "orbitalEnergyChange": 0.008366627043862707,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4139851531997585
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.5947365907137283,
        "initialFilling": 1.02,
        "removedFraction": 0.041591529352590445,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.955015326116699,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.041591529352590445,
        "removed": 0.10791906307491049,
        "donor": 2.486817527638818,
        "accretor": 1.0539595315374553,
        "escapedMass": 0.053959531537455245,
        "massRatio": 2.3595000123118504,
        "separation": 0.8309758816469387,
        "periodRatio": 0.7632501058635278,
        "initialAngular": 1.3685470727754774,
        "orbitalAngular": 1.2697340719086114,
        "escapedAngular": 0.09881300086686595,
        "orbitalEnergy": -1.5770644457542402,
        "orbitalEnergyChange": -0.27969615039737605,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.955015326116699
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.9653704274795016,
        "initialFilling": 1.02,
        "removedFraction": 0.060547185884788635,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 0.31160732920980083,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.060547185884788635,
        "removed": 0.17954483448985653,
        "donor": 2.785825592989645,
        "accretor": 1.161590351040871,
        "escapedMass": 0.017954483448985648,
        "massRatio": 2.39828575581171,
        "separation": 0.8159409243844308,
        "periodRatio": 0.7387092045619988,
        "initialAngular": 1.4891452840510668,
        "orbitalAngular": 1.4712274939982546,
        "escapedAngular": 0.017917790052812244,
        "orbitalEnergy": -1.9829794239949456,
        "orbitalEnergyChange": -0.5002942102551948,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.39828575581171
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.18607466785470023,
        "initialFilling": 1.02,
        "removedFraction": 0.06953230387531222,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 2.3649018749245445,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06953230387531222,
        "removed": 0.012938200348770806,
        "donor": 0.17313646750592943,
        "accretor": 1.0129382003487708,
        "escapedMass": 0,
        "massRatio": 0.17092500553964277,
        "separation": 1.125722899578881,
        "periodRatio": 1.1943930041810644,
        "initialAngular": 0.1708563944404394,
        "orbitalAngular": 0.1708563944404394,
        "escapedAngular": 0,
        "orbitalEnergy": -0.07789507607769451,
        "orbitalEnergyChange": 0.015142257849655602,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 5.850519043967907
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.36581893655238673,
        "initialFilling": 1.02,
        "removedFraction": 0.03446620778180659,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 2.756899275246542,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03446620778180659,
        "removed": 0.012608391477734083,
        "donor": 0.35321054507465266,
        "accretor": 1,
        "escapedMass": 0.012608391477734083,
        "massRatio": 0.35321054507465266,
        "separation": 1.0097853151241911,
        "periodRatio": 1.0194301037073754,
        "initialAngular": 0.3130182204016697,
        "orbitalAngular": 0.3051163634315462,
        "escapedAngular": 0.007901856970123522,
        "orbitalEnergy": -0.1748938808004017,
        "orbitalEnergyChange": 0.008015587475791675,
        "massBalanceResidual": 2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.756899275246542
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7048058390733786,
        "initialFilling": 1.02,
        "removedFraction": 0.011677759615704417,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.4287738007609734,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.011677759615704417,
        "removed": 0.008230553164443767,
        "donor": 0.6965752859089348,
        "accretor": 1.0000000000008231,
        "escapedMass": 0.008230553163620712,
        "massRatio": 0.6965752859083615,
        "separation": 1.011942144177496,
        "periodRatio": 1.0204328212804863,
        "initialAngular": 0.5397989448487295,
        "orbitalAngular": 0.5379715824993936,
        "escapedAngular": 0.0018273623493358926,
        "orbitalEnergy": -0.34417742650479427,
        "orbitalEnergyChange": 0.008225493031895015,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6965752859083615
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0862930911942386,
        "initialFilling": 1.02,
        "removedFraction": 0.07701117959804833,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 0.8711605995311402,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07701117959804833,
        "removed": 0.0836567123420786,
        "donor": 1.00263637885216,
        "accretor": 1.0167313424684157,
        "escapedMass": 0.06692536987366288,
        "massRatio": 0.9861369832643931,
        "separation": 1.0319743676938968,
        "periodRatio": 1.0655732770029303,
        "initialAngular": 0.7520718917849663,
        "orbitalAngular": 0.7287463959960216,
        "escapedAngular": 0.023325495788944606,
        "orbitalEnergy": -0.493913348718175,
        "orbitalEnergyChange": 0.049233196878944285,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.0140579016616094
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.143445426935796,
        "initialFilling": 1.02,
        "removedFraction": 0.0050567027833312754,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.20805956410477,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0050567027833312754,
        "removed": 0.010838766456304933,
        "donor": 2.132606660479491,
        "accretor": 1.0054193832281524,
        "escapedMass": 0.005419383228152466,
        "massRatio": 2.121111544152073,
        "separation": 0.9832242184741372,
        "periodRatio": 0.9757836610182876,
        "initialAngular": 1.2089531415972927,
        "orbitalAngular": 1.200206644531444,
        "escapedAngular": 0.008746497065848624,
        "orbitalEnergy": -1.0903739111385302,
        "orbitalEnergyChange": -0.01865119767063228,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.20805956410477
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.6459189102868548,
        "initialFilling": 1.02,
        "removedFraction": 0.067811873042956,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.1318641765858048,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.067811873042956,
        "removed": 0.17942471722632866,
        "donor": 2.466494193060526,
        "accretor": 1.1614822455036957,
        "escapedMass": 0.01794247172263286,
        "massRatio": 2.123574598414021,
        "separation": 0.8292071207729305,
        "periodRatio": 0.7569475854912452,
        "initialAngular": 1.3857121586182433,
        "orbitalAngular": 1.369594348794621,
        "escapedAngular": 0.01611780982362232,
        "orbitalEnergy": -1.7274268045403447,
        "orbitalEnergyChange": -0.4044673493969173,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.123574598414021
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.3868395197321661,
        "initialFilling": 1.02,
        "removedFraction": 0.06718944425694645,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.0750184331205674,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06718944425694645,
        "removed": 0.09318097660437476,
        "donor": 1.2936585431277914,
        "accretor": 1.0931809766043747,
        "escapedMass": 0,
        "massRatio": 1.1833891833227264,
        "separation": 0.9616764146730473,
        "periodRatio": 0.9430689528628909,
        "initialAngular": 0.8976656336798052,
        "orbitalAngular": 0.8976656336798052,
        "escapedAngular": 0,
        "orbitalEnergy": -0.7352800214247924,
        "orbitalEnergyChange": -0.041860261558709366,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.84503053948169
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.889429259521421,
        "initialFilling": 1.02,
        "removedFraction": 0.03923420866020024,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.3274534019059503,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03923420866020024,
        "removed": 0.1133644704769513,
        "donor": 2.7760647890444696,
        "accretor": 1,
        "escapedMass": 0.1133644704769513,
        "massRatio": 2.7760647890444696,
        "separation": 0.9723271155561285,
        "periodRatio": 0.9730649191633721,
        "initialAngular": 1.4651062729368363,
        "orbitalAngular": 1.4086920953911364,
        "escapedAngular": 0.056414177545699884,
        "orbitalEnergy": -1.4275364456213289,
        "orbitalEnergyChange": 0.017178184139381658,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.3274534019059503
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.721594712382648,
        "initialFilling": 1.02,
        "removedFraction": 0.06407348684035241,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.2976134923868814,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06407348684035241,
        "removed": 0.1743820629886223,
        "donor": 2.5472126493940257,
        "accretor": 1.0000000000174383,
        "escapedMass": 0.17438206297118408,
        "massRatio": 2.5472126493496066,
        "separation": 0.84506869845026,
        "periodRatio": 0.7957175727833157,
        "initialAngular": 1.410778766447135,
        "orbitalAngular": 1.2432761378844446,
        "escapedAngular": 0.16750262856269038,
        "orbitalEnergy": -1.5071038923283298,
        "orbitalEnergyChange": -0.14630653613700573,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.5472126493496066
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0198319651070051,
        "initialFilling": 1.02,
        "removedFraction": 0.0796070319507271,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.615822836186271,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0796070319507271,
        "removed": 0.08118579583064617,
        "donor": 0.938646169276359,
        "accretor": 1.0162371591661292,
        "escapedMass": 0.06494863666451693,
        "massRatio": 0.9236487377085904,
        "separation": 1.0342247797979918,
        "periodRatio": 1.0691031465358138,
        "initialAngular": 0.7175811135118393,
        "orbitalAngular": 0.6938155533586011,
        "escapedAngular": 0.023765560153238163,
        "orbitalEnergy": -0.4611604436290403,
        "orbitalEnergyChange": 0.04875553892446227,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.0826626607868526
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.971498142753262,
        "initialFilling": 1.02,
        "removedFraction": 0.06152004259638488,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.251076851331163,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06152004259638488,
        "removed": 0.12128664972087437,
        "donor": 1.8502114930323876,
        "accretor": 1.0606433248604372,
        "escapedMass": 0.060643324860437185,
        "massRatio": 1.7444238319001766,
        "separation": 0.8296984172077645,
        "periodRatio": 0.7635858140549923,
        "initialAngular": 1.1436908345167611,
        "orbitalAngular": 1.0477088096964846,
        "escapedAngular": 0.09598202482027651,
        "orbitalEnergy": -1.1826070949183562,
        "orbitalEnergyChange": -0.1968580235417252,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.251076851331163
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.438788193592336,
        "initialFilling": 1.02,
        "removedFraction": 0.013847571136429907,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.991967855894473,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.013847571136429907,
        "removed": 0.033771292997455266,
        "donor": 2.4050169005948807,
        "accretor": 1.0303941636977096,
        "escapedMass": 0.0033771292997455257,
        "massRatio": 2.3340746534939116,
        "separation": 0.9630352791835747,
        "periodRatio": 0.9455329202043476,
        "initialAngular": 1.3151381326556517,
        "orbitalAngular": 1.3120587027995831,
        "escapedAngular": 0.0030794298560685718,
        "orbitalEnergy": -1.2866171320681905,
        "orbitalEnergyChange": -0.06722303527202245,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.3340746534939116
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.320048428850714,
        "initialFilling": 1.02,
        "removedFraction": 0.049519114634022116,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.9683130484656433,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.049519114634022116,
        "removed": 0.11488674410474141,
        "donor": 2.2051616847459727,
        "accretor": 1.1148867441047414,
        "escapedMass": 0,
        "massRatio": 1.9779243913396123,
        "separation": 0.8905364943392389,
        "periodRatio": 0.8403836267732971,
        "initialAngular": 1.2732827080095925,
        "orbitalAngular": 1.2732827080095925,
        "escapedAngular": 0,
        "orbitalEnergy": -1.3803508034531073,
        "orbitalEnergyChange": -0.22032658902775037,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5055804986168951
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.770421312644612,
        "initialFilling": 1.02,
        "removedFraction": 0.05846799843944609,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.568306728161406,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05846799843944609,
        "removed": 0.045044992105421185,
        "donor": 0.7253763205391908,
        "accretor": 1,
        "escapedMass": 0.045044992105421185,
        "massRatio": 0.7253763205391908,
        "separation": 1.0139803976460176,
        "periodRatio": 1.0342862157130435,
        "initialAngular": 0.5790152122173051,
        "orbitalAngular": 0.5560786704600277,
        "escapedAngular": 0.02293654175727744,
        "orbitalEnergy": -0.3576875461415088,
        "orbitalEnergyChange": 0.027523110180797172,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.568306728161406
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.646159518614877,
        "initialFilling": 1.02,
        "removedFraction": 0.06501400272361935,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 0.8198999287676998,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06501400272361935,
        "removed": 0.10702341942673953,
        "donor": 1.5391360991881375,
        "accretor": 1.0000000000107023,
        "escapedMass": 0.10702341941603719,
        "massRatio": 1.5391360991716652,
        "separation": 0.9624107532028282,
        "periodRatio": 0.9638417200389896,
        "initialAngular": 1.0119613062048112,
        "orbitalAngular": 0.9475764697425022,
        "escapedAngular": 0.06438483646230897,
        "orbitalEnergy": -0.7996253647844668,
        "orbitalEnergyChange": 0.02345439452297171,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.5391360991716652
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.5705459788790905,
        "initialFilling": 1.02,
        "removedFraction": 0.047711141752079134,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 0.5345574342063628,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.047711141752079134,
        "removed": 0.07493254182645817,
        "donor": 1.4956134370526324,
        "accretor": 1.0149865083652916,
        "escapedMass": 0.05994603346116654,
        "massRatio": 1.4735303619566578,
        "separation": 1.0134908711239436,
        "periodRatio": 1.032413542015899,
        "initialAngular": 0.9795756183676929,
        "orbitalAngular": 0.9644967995297368,
        "escapedAngular": 0.015078818837956143,
        "orbitalEnergy": -0.7489102781235702,
        "orbitalEnergyChange": 0.036362711315975016,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6786422769545986
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.8632596202776766,
        "initialFilling": 1.02,
        "removedFraction": 0.06354421711526811,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.807903302798513,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06354421711526811,
        "removed": 0.1819435909683048,
        "donor": 2.6813160293093716,
        "accretor": 1.0909717954841525,
        "escapedMass": 0.0909717954841524,
        "massRatio": 2.457731758426857,
        "separation": 0.7439344085942933,
        "periodRatio": 0.6493465026506762,
        "initialAngular": 1.4567458220447487,
        "orbitalAngular": 1.2990517123319527,
        "escapedAngular": 0.15769410971279596,
        "orbitalEnergy": -1.9660605350164488,
        "orbitalEnergyChange": -0.5344307248776106,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.807903302798513
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.6331704800832085,
        "initialFilling": 1.02,
        "removedFraction": 0.024204018572345377,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 3.3391492217662746,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.024204018572345377,
        "removed": 0.015325270059394817,
        "donor": 0.6178452100238138,
        "accretor": 1.0137927430534552,
        "escapedMass": 0.0015325270059394814,
        "massRatio": 0.6094393693950876,
        "separation": 1.019692620334,
        "periodRatio": 1.030167336714917,
        "initialAngular": 0.4954557787160064,
        "orbitalAngular": 0.49516689414937787,
        "escapedAngular": 0.00028888456662851114,
        "orbitalEnergy": -0.307135198275395,
        "orbitalEnergyChange": 0.009450041766209283,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6094393693950876
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.7716362875071354,
        "initialFilling": 1.02,
        "removedFraction": 0.02966890993528068,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.397272477403749,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02966890993528068,
        "removed": 0.08223142738740491,
        "donor": 2.6894048601197307,
        "accretor": 1.082231427387405,
        "escapedMass": 0,
        "massRatio": 2.485055222072208,
        "separation": 0.9068173560529118,
        "periodRatio": 0.8635345842419679,
        "initialAngular": 1.4271556326891255,
        "orbitalAngular": 1.4271556326891255,
        "escapedAngular": 0,
        "orbitalEnergy": -1.6048206627069521,
        "orbitalEnergyChange": -0.2190025189533844,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4024055446003859
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1808323904289864,
        "initialFilling": 1.02,
        "removedFraction": 0.006033489080145955,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 2.077215273247566,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.006033489080145955,
        "removed": 0.007124539333135935,
        "donor": 1.1737078510958505,
        "accretor": 1,
        "escapedMass": 0.007124539333135935,
        "massRatio": 1.1737078510958505,
        "separation": 0.9952483306025744,
        "periodRatio": 0.9945067704886636,
        "initialAngular": 0.7996079677062282,
        "orbitalAngular": 0.7941913480823117,
        "escapedAngular": 0.0054166196239164854,
        "orbitalEnergy": -0.5896557748482871,
        "orbitalEnergyChange": 0.0007604203662060494,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.077215273247566
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.8152263898053206,
        "initialFilling": 1.02,
        "removedFraction": 0.05491105853579938,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.0754782790900212,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05491105853579938,
        "removed": 0.044764944010528364,
        "donor": 0.7704614457947923,
        "accretor": 1.0000000000044764,
        "escapedMass": 0.04476494400605187,
        "massRatio": 0.7704614457913433,
        "separation": 1.0495826028840218,
        "periodRatio": 1.0887974542121233,
        "initialAngular": 0.6050800463303466,
        "orbitalAngular": 0.5932202754223604,
        "escapedAngular": 0.011859770907986178,
        "orbitalEnergy": -0.36703230583337737,
        "orbitalEnergyChange": 0.04058088906928292,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7704614457913433
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.59612837851746,
        "initialFilling": 1.02,
        "removedFraction": 0.00753895022906363,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.38749803256942,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.00753895022906363,
        "removed": 0.004494182175775536,
        "donor": 0.5916341963416845,
        "accretor": 1.0008988364351552,
        "escapedMass": 0.003595345740620429,
        "massRatio": 0.5911028915258554,
        "separation": 1.0034913021958694,
        "periodRatio": 1.0063756121098077,
        "initialAngular": 0.47185209448530013,
        "orbitalAngular": 0.4700629634072305,
        "escapedAngular": 0.0017891310780696057,
        "orbitalEnergy": -0.2950528706217209,
        "orbitalEnergyChange": 0.003011318637009097,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.6917528476618169
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.8333661048789507,
        "initialFilling": 1.02,
        "removedFraction": 0.05516576017253101,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 0.4565434724208899,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05516576017253101,
        "removed": 0.15630479502273054,
        "donor": 2.67706130985622,
        "accretor": 1.0781523975113654,
        "escapedMass": 0.07815239751136527,
        "massRatio": 2.483008261202702,
        "separation": 0.9264343698978804,
        "periodRatio": 0.9009377994022366,
        "initialAngular": 1.447146654598526,
        "orbitalAngular": 1.4336015801647402,
        "escapedAngular": 0.013545074433785942,
        "orbitalEnergy": -1.5577358544159747,
        "orbitalEnergyChange": -0.1410528019764994,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4565434724208899
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.0999435393488963,
        "initialFilling": 1.02,
        "removedFraction": 0.00838261772878468,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 3.5082526399171914,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.00838261772878468,
        "removed": 0.01760302394239291,
        "donor": 2.0823405154065036,
        "accretor": 1.0158427215481536,
        "escapedMass": 0.0017603023942392906,
        "massRatio": 2.0498650738305213,
        "separation": 0.9826265210035802,
        "periodRatio": 0.9743299764084623,
        "initialAngular": 1.1926986458510882,
        "orbitalAngular": 1.1912938869512497,
        "escapedAngular": 0.0014047588998384875,
        "orbitalEnergy": -1.0763654405542042,
        "orbitalEnergyChange": -0.02639367087975608,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.0498650738305213
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.6215512259514071,
        "initialFilling": 1.02,
        "removedFraction": 0.01209412238560617,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.8109475070261398,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.01209412238560617,
        "removed": 0.007517116595579872,
        "donor": 0.6140341093558273,
        "accretor": 1.0075171165955799,
        "escapedMass": 0,
        "massRatio": 0.6094527817360171,
        "separation": 1.0094016150648006,
        "periodRatio": 1.0141355172283815,
        "initialAngular": 0.4881031281289417,
        "orbitalAngular": 0.4881031281289417,
        "escapedAngular": 0,
        "orbitalEnergy": -0.30644387036660453,
        "orbitalEnergyChange": 0.004331742609099021,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.6408162042537815
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.13862390256254,
        "initialFilling": 1.02,
        "removedFraction": 0.03959856779314578,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.6267065798747355,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03959856779314578,
        "removed": 0.045087875796518954,
        "donor": 1.093536026766021,
        "accretor": 1,
        "escapedMass": 0.045087875796518954,
        "massRatio": 1.093536026766021,
        "separation": 0.9902239175753108,
        "periodRatio": 0.9959260833239169,
        "initialAngular": 0.7785976494532904,
        "orbitalAngular": 0.7520722806631164,
        "escapedAngular": 0.026525368790173975,
        "orbitalEnergy": -0.5521660340439378,
        "orbitalEnergyChange": 0.017145917237332164,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.6267065798747355
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.719261983234901,
        "initialFilling": 1.02,
        "removedFraction": 0.06997735845856369,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 2.6393133080680857,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06997735845856369,
        "removed": 0.19028677054357349,
        "donor": 2.5289752126913276,
        "accretor": 1.0000000000190288,
        "escapedMass": 0.19028677052454482,
        "massRatio": 2.5289752126432044,
        "separation": 0.8327988770440528,
        "periodRatio": 0.7802149681860389,
        "initialAngular": 1.4100115351282516,
        "orbitalAngular": 1.228542922098168,
        "escapedAngular": 0.18146861303008355,
        "orbitalEnergy": -1.5183589234148758,
        "orbitalEnergyChange": -0.15872793179742528,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.5289752126432044
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1889178005396388,
        "initialFilling": 1.02,
        "removedFraction": 0.07133733552880585,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.834075054654386,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07133733552880585,
        "removed": 0.08481422805326608,
        "donor": 1.1041035724863728,
        "accretor": 1.0169628456106532,
        "escapedMass": 0.06785138244261286,
        "massRatio": 1.0856872276620828,
        "separation": 1.0278312502426996,
        "periodRatio": 1.0585717974121387,
        "initialAngular": 0.8035947723931202,
        "orbitalAngular": 0.7816254224888429,
        "escapedAngular": 0.021969349904277236,
        "orbitalEnergy": -0.5462143278186462,
        "orbitalEnergyChange": 0.048244572451173195,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9210755865235686
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.133629235031549,
        "initialFilling": 1.02,
        "removedFraction": 0.06583382233045995,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 3.8965533562586647,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06583382233045995,
        "removed": 0.14046496797814217,
        "donor": 1.9931642670534067,
        "accretor": 1.0702324839890711,
        "escapedMass": 0.07023248398907109,
        "massRatio": 1.8623656979876908,
        "separation": 0.8196584699940626,
        "periodRatio": 0.7505360858565953,
        "initialAngular": 1.2052999770478399,
        "orbitalAngular": 1.1034078341982296,
        "escapedAngular": 0.10189214284961023,
        "orbitalEnergy": -1.3012426654617966,
        "orbitalEnergyChange": -0.23442804794602212,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.8965533562586647
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.6571875612135045,
        "initialFilling": 1.02,
        "removedFraction": 0.04991349183954299,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.1747917503933425,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04991349183954299,
        "removed": 0.08271601781322241,
        "donor": 1.574471543400282,
        "accretor": 1.0744444160319002,
        "escapedMass": 0.00827160178132224,
        "massRatio": 1.4653820336421535,
        "separation": 0.9473927466830357,
        "periodRatio": 0.9235748509954915,
        "initialAngular": 1.0166244713197936,
        "orbitalAngular": 1.011695239923939,
        "escapedAngular": 0.004929231395854661,
        "orbitalEnergy": -0.8928093253460057,
        "orbitalEnergyChange": -0.0642155447392534,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.4653820336421535
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.6414102901821024,
        "initialFilling": 1.02,
        "removedFraction": 0.0013048423361033202,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 2.645515584771056,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0013048423361033202,
        "removed": 0.0034466239736485635,
        "donor": 2.637963666208454,
        "accretor": 1.0034466239736486,
        "escapedMass": 0,
        "massRatio": 2.6289028267015517,
        "separation": 0.9957390963314114,
        "periodRatio": 0.9936154575772604,
        "initialAngular": 1.38420705312561,
        "orbitalAngular": 1.38420705312561,
        "escapedAngular": 0,
        "orbitalEnergy": -1.3291914241263272,
        "orbitalEnergyChange": -0.00848627903527599,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.38038682519683936
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9194125216803513,
        "initialFilling": 1.02,
        "removedFraction": 0.06652924572117627,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 0.8107435707352124,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06652924572117627,
        "removed": 0.061167821573998395,
        "donor": 0.8582447001063529,
        "accretor": 1,
        "escapedMass": 0.061167821573998395,
        "massRatio": 0.8582447001063529,
        "separation": 1.054207855465793,
        "periodRatio": 1.1000744614049311,
        "initialAngular": 0.663630369621464,
        "orbitalAngular": 0.646431934315333,
        "escapedAngular": 0.017198435306131077,
        "orbitalEnergy": -0.40705668035794734,
        "orbitalEnergyChange": 0.052649580482228286,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.8107435707352124
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.3946527798310854,
        "initialFilling": 1.02,
        "removedFraction": 0.02489333814941347,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 0.25637665163958445,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02489333814941347,
        "removed": 0.009824225099941231,
        "donor": 0.38482855473114413,
        "accretor": 1.0000000000009823,
        "escapedMass": 0.009824225098958809,
        "massRatio": 0.3848285547307661,
        "separation": 1.0385624739127344,
        "periodRatio": 1.0621454251595035,
        "initialAngular": 0.33418127973793005,
        "orbitalAngular": 0.33326184773218975,
        "escapedAngular": 0.0009194320057402949,
        "orbitalEnergy": -0.1852698149595657,
        "orbitalEnergyChange": 0.012056574955976979,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.3848285547307661
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7521176399546675,
        "initialFilling": 1.02,
        "removedFraction": 0.07168774382211268,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.815145568165463,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07168774382211268,
        "removed": 0.053917616697162184,
        "donor": 0.6982000232575053,
        "accretor": 1.0107835233394324,
        "escapedMass": 0.04313409335772975,
        "massRatio": 0.6907512905936456,
        "separation": 1.0337878863709178,
        "periodRatio": 1.0642896742368129,
        "initialAngular": 0.5682038127645725,
        "orbitalAngular": 0.5488893338716907,
        "escapedAngular": 0.019314478892881848,
        "orbitalEnergy": -0.3413316642649665,
        "orbitalEnergyChange": 0.034727155712367286,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.4476990685613917
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.2438039027270862,
        "initialFilling": 1.02,
        "removedFraction": 0.007592330304905772,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.701330927491654,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.007592330304905772,
        "removed": 0.009443370064034928,
        "donor": 1.2343605326630513,
        "accretor": 1.0047216850320175,
        "escapedMass": 0.004721685032017464,
        "massRatio": 1.2285596609012335,
        "separation": 0.9923633050754596,
        "periodRatio": 0.9896086309527589,
        "initialAngular": 0.8303467031220252,
        "orbitalAngular": 0.8256350681335151,
        "escapedAngular": 0.004711634988510127,
        "orbitalEnergy": -0.6248663105393318,
        "orbitalEnergyChange": -0.0029643591757887444,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.701330927491654
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.1228190134628675,
        "initialFilling": 1.02,
        "removedFraction": 0.0028253641445189714,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.822508709819522,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0028253641445189714,
        "removed": 0.0059977367259411215,
        "donor": 2.1168212767369265,
        "accretor": 1.005397963053347,
        "escapedMass": 0.000599773672594112,
        "massRatio": 2.105456102485267,
        "separation": 0.9939062349360349,
        "periodRatio": 0.9909684598917452,
        "initialAngular": 1.2012670404455241,
        "orbitalAngular": 1.2007793281982377,
        "escapedAngular": 0.00048771224728638707,
        "orbitalEnergy": -1.0706481783547013,
        "orbitalEnergyChange": -0.009238671623267525,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.105456102485267
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.0921200245269573,
        "initialFilling": 1.02,
        "removedFraction": 0.048768576672300695,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.4047680697054608,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.048768576672300695,
        "removed": 0.10202971582379854,
        "donor": 1.9900903087031587,
        "accretor": 1.1020297158237986,
        "escapedMass": 0,
        "massRatio": 1.8058408771813468,
        "separation": 0.9099992041221358,
        "periodRatio": 0.8680835344610282,
        "initialAngular": 1.1897574273595755,
        "orbitalAngular": 1.1897574273595755,
        "escapedAngular": 0,
        "orbitalEnergy": -1.205022294211526,
        "orbitalEnergyChange": -0.1589622819480474,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5537586465319434
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.773128394118976,
        "initialFilling": 1.02,
        "removedFraction": 0.05308292576111853,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 2.297188270732295,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.05308292576111853,
        "removed": 0.09412284290994892,
        "donor": 1.679005551209027,
        "accretor": 1,
        "escapedMass": 0.09412284290994892,
        "massRatio": 1.679005551209027,
        "separation": 0.9193498242996267,
        "periodRatio": 0.8968491031008019,
        "initialAngular": 1.0647685027666933,
        "orbitalAngular": 0.9835710195392262,
        "escapedAngular": 0.08119748322746712,
        "orbitalEnergy": -0.9131483505139713,
        "orbitalEnergyChange": -0.026584153454483284,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.297188270732295
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.563298017822672,
        "initialFilling": 1.02,
        "removedFraction": 0.04736969525925815,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.8283703353372407,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04736969525925815,
        "removed": 0.12142264596292043,
        "donor": 2.4418753718597515,
        "accretor": 1.0000000000121423,
        "escapedMass": 0.12142264595077817,
        "massRatio": 2.4418753718301014,
        "separation": 0.8948327062509448,
        "periodRatio": 0.8612738802251151,
        "initialAngular": 1.3579163846471953,
        "orbitalAngular": 1.2450788301481723,
        "escapedAngular": 0.112837554499023,
        "orbitalEnergy": -1.364431225429867,
        "orbitalEnergyChange": -0.08278221651853102,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.4418753718301014
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.519553321076091,
        "initialFilling": 1.02,
        "removedFraction": 0.021401361422613265,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.999504553747829,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.021401361422613265,
        "removed": 0.05392187124789499,
        "donor": 2.465631449828196,
        "accretor": 1.010784374249579,
        "escapedMass": 0.043137496998316,
        "massRatio": 2.4393248576470294,
        "separation": 0.9995325672835302,
        "periodRatio": 1.0054797746991857,
        "initialAngular": 1.3430116474350242,
        "orbitalAngular": 1.3363471629321428,
        "escapedAngular": 0.006664484502881374,
        "orbitalEnergy": -1.2466936164560833,
        "orbitalEnergyChange": 0.013083044081962258,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4099494976510013
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.8065348858595827,
        "initialFilling": 1.02,
        "removedFraction": 0.021101257717236876,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.379642816411797,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.021101257717236876,
        "removed": 0.059221415918939035,
        "donor": 2.747313469940644,
        "accretor": 1.0296107079594696,
        "escapedMass": 0.029610707959469518,
        "massRatio": 2.668303125348606,
        "separation": 0.9121773261747899,
        "periodRatio": 0.8746104926665045,
        "initialAngular": 1.4384856631537393,
        "orbitalAngular": 1.3901183278857652,
        "escapedAngular": 0.0483673352679741,
        "orbitalEnergy": -1.5505008103162112,
        "orbitalEnergyChange": -0.1472333673864199,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.379642816411797
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.647517773497384,
        "initialFilling": 1.02,
        "removedFraction": 0.033268024930730465,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 2.4316502915578897,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.033268024930730465,
        "removed": 0.05480966236253252,
        "donor": 1.5927081111348516,
        "accretor": 1.0493286961262793,
        "escapedMass": 0.005480966236253251,
        "massRatio": 1.5178352760336409,
        "separation": 0.9634246270519388,
        "periodRatio": 0.9466220701449848,
        "initialAngular": 1.0125364502590906,
        "orbitalAngular": 1.0092230976488423,
        "escapedAngular": 0.0033133526102482325,
        "orbitalEnergy": -0.8673612229951766,
        "orbitalEnergyChange": -0.043602336246484574,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.5178352760336409
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.4359761191648432,
        "initialFilling": 1.02,
        "removedFraction": 0.07817346292547882,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.462565562420059,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07817346292547882,
        "removed": 0.11225522591340582,
        "donor": 1.3237208932514375,
        "accretor": 1.1122552259134058,
        "escapedMass": 0,
        "massRatio": 1.1901233299797462,
        "separation": 0.9512456366127702,
        "periodRatio": 0.9277672041799848,
        "initialAngular": 0.9200484632591662,
        "orbitalAngular": 0.9200484632591662,
        "escapedAngular": 0,
        "orbitalEnergy": -0.7738881654229433,
        "orbitalEnergyChange": -0.05590010584052163,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.8402490521860605
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1644602769403718,
        "initialFilling": 1.02,
        "removedFraction": 0.07245543015189469,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.3917904925881888,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07245543015189469,
        "removed": 0.08437147026050906,
        "donor": 1.0800888066798628,
        "accretor": 1,
        "escapedMass": 0.08437147026050906,
        "massRatio": 1.0800888066798628,
        "separation": 0.8529538824747699,
        "periodRatio": 0.8035671918044884,
        "initialAngular": 0.7914980844968194,
        "orbitalAngular": 0.6916419109519922,
        "escapedAngular": 0.09985617354482712,
        "orbitalEnergy": -0.6331460755803592,
        "orbitalEnergyChange": -0.05091593711017328,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.3917904925881888
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.4109858905547299,
        "initialFilling": 1.02,
        "removedFraction": 0.007545125028118492,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.8215760861174206,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.007545125028118492,
        "removed": 0.00310093992902806,
        "donor": 0.40788495062570185,
        "accretor": 1.0000000000003102,
        "escapedMass": 0.003100939928717966,
        "massRatio": 0.40788495062557534,
        "separation": 1.0112080620329664,
        "periodRatio": 1.0179783397934064,
        "initialAngular": 0.3459916174529026,
        "orbitalAngular": 0.34568008511221765,
        "escapedAngular": 0.00031153234068492797,
        "orbitalEnergy": -0.201682010824658,
        "orbitalEnergyChange": 0.0038109344527069433,
        "massBalanceResidual": 2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.40788495062557534
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.6392921781982297,
        "initialFilling": 1.02,
        "removedFraction": 0.021984843546524645,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 1.3601706487010234,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.021984843546524645,
        "removed": 0.05802442561125432,
        "donor": 2.5812677525869754,
        "accretor": 1.0116048851222508,
        "escapedMass": 0.04641954048900346,
        "massRatio": 2.551656076942564,
        "separation": 0.9986539676074763,
        "periodRatio": 1.0044078504767153,
        "initialAngular": 1.3834995068448313,
        "orbitalAngular": 1.3766723140198294,
        "escapedAngular": 0.006827192825001882,
        "orbitalEnergy": -1.3073712982792984,
        "orbitalEnergyChange": 0.012274790819816417,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.39190234492660014
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.766113600239623,
        "initialFilling": 1.02,
        "removedFraction": 0.039295835299417374,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.4962040299666115,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.039295835299417374,
        "removed": 0.10869674445449466,
        "donor": 2.6574168557851285,
        "accretor": 1.0543483722272473,
        "escapedMass": 0.05434837222724733,
        "massRatio": 2.5204352999298476,
        "separation": 0.893352414280721,
        "periodRatio": 0.8505320462934881,
        "initialAngular": 1.4253558550482697,
        "orbitalAngular": 1.3745640316172782,
        "escapedAngular": 0.05079182343099142,
        "orbitalEnergy": -1.5681622904003636,
        "orbitalEnergyChange": -0.185105490280552,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.4962040299666115
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9692683346918783,
        "initialFilling": 1.02,
        "removedFraction": 0.062312777088955044,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 4.641928128933069,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.062312777088955044,
        "removed": 0.06039780167903769,
        "donor": 0.9088705330128406,
        "accretor": 1.054358021511134,
        "escapedMass": 0.006039780167903767,
        "massRatio": 0.8620132008956722,
        "separation": 1.0142227731971598,
        "periodRatio": 1.0229797917417622,
        "initialAngular": 0.6907033717439149,
        "orbitalAngular": 0.6887654876063971,
        "escapedAngular": 0.0019378841375178313,
        "orbitalEnergy": -0.4724183691795809,
        "orbitalEnergyChange": 0.01221579816635826,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.8620132008956722
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.801291438995395,
        "initialFilling": 1.02,
        "removedFraction": 0.04183528221212328,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.2846368018188516,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04183528221212328,
        "removed": 0.07535753569665399,
        "donor": 1.7259339032987409,
        "accretor": 1.075357535696654,
        "escapedMass": 0,
        "massRatio": 1.604986105556624,
        "separation": 0.9419197094692232,
        "periodRatio": 0.9141570791925372,
        "initialAngular": 1.0762293657567108,
        "orbitalAngular": 1.0762293657567108,
        "escapedAngular": 0,
        "orbitalEnergy": -0.9852198708489202,
        "orbitalEnergyChange": -0.0845741513512227,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6230583533015639
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.41268574575660755,
        "initialFilling": 1.02,
        "removedFraction": 0.0613790534529835,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.803899239737075,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.0613790534529835,
        "removed": 0.025330260448079175,
        "donor": 0.38735548530852837,
        "accretor": 1,
        "escapedMass": 0.025330260448079175,
        "massRatio": 0.38735548530852837,
        "separation": 1.0442688491170773,
        "periodRatio": 1.076830600062015,
        "initialAngular": 0.3472135674431552,
        "orbitalAngular": 0.33606400139400416,
        "escapedAngular": 0.011149566049151016,
        "orbitalEnergy": -0.1854673179402196,
        "orbitalEnergyChange": 0.020875554938084184,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.803899239737075
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.29992654361994936,
        "initialFilling": 1.02,
        "removedFraction": 0.07211183908395469,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.641545769677032,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07211183908395469,
        "removed": 0.021628254650528506,
        "donor": 0.2782982889694209,
        "accretor": 1.0000000000021627,
        "escapedMass": 0.02162825464836568,
        "massRatio": 0.278298288968819,
        "separation": 1.1311215429780157,
        "periodRatio": 1.213129637577072,
        "initialAngular": 0.2630604124920744,
        "orbitalAngular": 0.2617875986338663,
        "escapedAngular": 0.0012728138582080994,
        "orbitalEnergy": -0.12301873777300683,
        "orbitalEnergyChange": 0.02694453403696785,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.278298288968819
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.1880326844169757,
        "initialFilling": 1.02,
        "removedFraction": 0.07967074033804238,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 2.4232808384462263,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07967074033804238,
        "removed": 0.1743221838513347,
        "donor": 2.013710500565641,
        "accretor": 1.0348644367702668,
        "escapedMass": 0.13945774708106776,
        "massRatio": 1.9458688781018296,
        "separation": 1.0094427035427427,
        "periodRatio": 1.0371353926234144,
        "initialAngular": 1.225441044934847,
        "orbitalAngular": 1.199148301061416,
        "escapedAngular": 0.026292743873431057,
        "orbitalEnergy": -1.0322118212715357,
        "orbitalEnergyChange": 0.06180452093695221,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5139092419091914
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.1613989751436748,
        "initialFilling": 1.02,
        "removedFraction": 0.06381065367721021,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.989897136634682,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06381065367721021,
        "removed": 0.07410962778395991,
        "donor": 1.087289347359715,
        "accretor": 1.03705481389198,
        "escapedMass": 0.037054813891979954,
        "massRatio": 1.0484396126364903,
        "separation": 0.9402654684618735,
        "periodRatio": 0.9196673365763569,
        "initialAngular": 0.7899761282851316,
        "orbitalAngular": 0.7501699261572399,
        "escapedAngular": 0.039806202127891765,
        "orbitalEnergy": -0.59960654176602,
        "orbitalEnergyChange": -0.018907054194182593,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.989897136634682
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.098511669493746,
        "initialFilling": 1.02,
        "removedFraction": 0.008846875810995698,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.6207905429298992,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.008846875810995698,
        "removed": 0.009718396316940723,
        "donor": 1.0887932731768053,
        "accretor": 1.0087465566852467,
        "escapedMass": 0.000971839631694072,
        "massRatio": 1.0793526540051774,
        "separation": 0.9988840403886424,
        "periodRatio": 0.9985577750024932,
        "initialAngular": 0.7583138367149852,
        "orbitalAngular": 0.7579314412834053,
        "escapedAngular": 0.0003823954315799183,
        "orbitalEnergy": -0.5497717557044121,
        "orbitalEnergyChange": -0.0005159209575390511,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.0793526540051774
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7712931565125473,
        "initialFilling": 1.02,
        "removedFraction": 0.011734599126502872,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 4.539459898334462,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.011734599126502872,
        "removed": 0.00905081600068978,
        "donor": 0.7622423405118575,
        "accretor": 1.0090508160006897,
        "escapedMass": 0,
        "massRatio": 0.7554053060805774,
        "separation": 1.0056034209667546,
        "periodRatio": 1.0084168948494947,
        "initialAngular": 0.5795277755731773,
        "orbitalAngular": 0.5795277755731773,
        "escapedAngular": 0,
        "orbitalEnergy": -0.3824277243131979,
        "orbitalEnergyChange": 0.00321885394307575,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.3237926606426724
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.7765041491365992,
        "initialFilling": 1.02,
        "removedFraction": 0.009734531538560987,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 1.9362234866595829,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.009734531538560987,
        "removed": 0.007558904129593688,
        "donor": 0.7689452450070055,
        "accretor": 1,
        "escapedMass": 0.007558904129593688,
        "massRatio": 0.7689452450070055,
        "separation": 0.9987890155875643,
        "periodRatio": 1.0003144769962957,
        "initialAngular": 0.5825868365403584,
        "orbitalAngular": 0.5777967561647485,
        "escapedAngular": 0.004790080375609906,
        "orbitalEnergy": -0.38493877736263094,
        "orbitalEnergyChange": 0.0033132972056686416,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.9362234866595829
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.4937255627126433,
        "initialFilling": 1.02,
        "removedFraction": 0.053139570569619536,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 0.25755531653994695,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.053139570569619536,
        "removed": 0.07937593495141317,
        "donor": 1.4143496277612302,
        "accretor": 1.0000000000079377,
        "escapedMass": 0.07937593494347557,
        "massRatio": 1.4143496277500036,
        "separation": 0.9829501656107004,
        "periodRatio": 0.9904247809592549,
        "initialAngular": 0.9459027426782204,
        "orbitalAngular": 0.9024485465474906,
        "escapedAngular": 0.04345419613072976,
        "orbitalEnergy": -0.7194411666301164,
        "orbitalEnergyChange": 0.0274216147262053,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.4143496277500036
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.886783048126381,
        "initialFilling": 1.02,
        "removedFraction": 0.03964738578535616,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 0.32627622465370226,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03964738578535616,
        "removed": 0.07480601540233685,
        "donor": 1.811977032724044,
        "accretor": 1.0149612030804673,
        "escapedMass": 0.05984481232186948,
        "massRatio": 1.7852672863007832,
        "separation": 1.0074573135826093,
        "periodRatio": 1.0218541054996733,
        "initialAngular": 1.110490614737713,
        "orbitalAngular": 1.09788612677306,
        "escapedAngular": 0.012604487964652966,
        "orbitalEnergy": -0.9127366312661991,
        "orbitalEnergyChange": 0.030654892796991406,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.5601402141144255
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.21163536255480722,
        "initialFilling": 1.02,
        "removedFraction": 0.003748736856505275,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.861518123664428,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.003748736856505275,
        "removed": 0.0007933652837490622,
        "donor": 0.21084199727105815,
        "accretor": 1.0003966826418744,
        "escapedMass": 0.0003966826418745311,
        "massRatio": 0.210758393074896,
        "separation": 1.0045271257431494,
        "periodRatio": 1.006963218958146,
        "initialAngular": 0.19226590055114354,
        "orbitalAngular": 0.19208583208052254,
        "escapedAngular": 0.00018006847062099207,
        "orbitalEnergy": -0.10498752558598698,
        "orbitalEnergyChange": 0.0008301556914166314,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.861518123664428
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.46136136254062876,
        "initialFilling": 1.02,
        "removedFraction": 0.024993603052571416,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 1.079449802020099,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.024993603052571416,
        "removed": 0.011531082759133967,
        "donor": 0.4498302797814948,
        "accretor": 1.0103779744832206,
        "escapedMass": 0.0011531082759133964,
        "massRatio": 0.44520990277086164,
        "separation": 1.0288776543694267,
        "periodRatio": 1.0440397007009263,
        "initialAngular": 0.3816474901593329,
        "orbitalAngular": 0.3815109649362747,
        "escapedAngular": 0.000136525223058237,
        "orbitalEnergy": -0.220871065192585,
        "orbitalEnergyChange": 0.009809616077729372,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.44520990277086164
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.0691273675882258,
        "initialFilling": 1.02,
        "removedFraction": 0.022498481711372732,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 1.5786092043505051,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.022498481711372732,
        "removed": 0.02405374252681177,
        "donor": 1.045073625061414,
        "accretor": 1.0240537425268117,
        "escapedMass": 0,
        "massRatio": 1.0205261517649813,
        "separation": 0.9979749046998129,
        "periodRatio": 0.9969638954482881,
        "initialAngular": 0.7432515683399252,
        "orbitalAngular": 0.7432515683399252,
        "escapedAngular": 0,
        "orbitalEnergy": -0.536191617604913,
        "orbitalEnergyChange": -0.001627933810800064,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9798866969460002
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.8940407666261307,
        "initialFilling": 1.02,
        "removedFraction": 0.008030442232266068,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 0.7570041530649178,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.008030442232266068,
        "removed": 0.007179542729682012,
        "donor": 0.8868612238964487,
        "accretor": 1,
        "escapedMass": 0.007179542729682012,
        "massRatio": 0.8868612238964487,
        "separation": 1.0065997063363585,
        "periodRatio": 1.0118354254073927,
        "initialAngular": 0.6496248971950034,
        "orbitalAngular": 0.6477599408589876,
        "escapedAngular": 0.0018649563360157995,
        "orbitalEnergy": -0.440523287615634,
        "orbitalEnergyChange": 0.006497095697431399,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7570041530649178
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.641148049861658,
        "initialFilling": 1.02,
        "removedFraction": 0.03977189372293651,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 3.178982781444211,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03977189372293651,
        "removed": 0.10504345954563889,
        "donor": 2.536104590316019,
        "accretor": 1.0000000000105043,
        "escapedMass": 0.10504345953513454,
        "massRatio": 2.536104590289379,
        "separation": 0.9051588843935048,
        "periodRatio": 0.8738639944906186,
        "initialAngular": 1.3841194688387815,
        "orbitalAngular": 1.2831192435858763,
        "escapedAngular": 0.1010002252529052,
        "orbitalEnergy": -1.4009168081258783,
        "orbitalEnergyChange": -0.08034278319504917,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.536104590289379
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.6802437279722653,
        "initialFilling": 1.02,
        "removedFraction": 0.021388640152290465,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 1.6385649051866495,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.021388640152290465,
        "removed": 0.03593812846574181,
        "donor": 1.6443055995065234,
        "accretor": 1.0071876256931485,
        "escapedMass": 0.02875050277259345,
        "massRatio": 1.6325712881697778,
        "separation": 1.0051222865576528,
        "periodRatio": 1.0131418083708381,
        "initialAngular": 1.0263255455064397,
        "orbitalAngular": 1.0196640495352722,
        "escapedAngular": 0.006661495971167497,
        "orbitalEnergy": -0.8238421706640422,
        "orbitalEnergyChange": 0.01627969332209045,
        "massBalanceResidual": -4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6125306792091555
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.576185546501074,
        "initialFilling": 1.02,
        "removedFraction": 0.03395378953777254,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.4120181649574075,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03395378953777254,
        "removed": 0.01956368278060392,
        "donor": 0.5566218637204701,
        "accretor": 1.009781841390302,
        "escapedMass": 0.00978184139030196,
        "massRatio": 0.5512298210414383,
        "separation": 0.9885267734667946,
        "periodRatio": 0.9859036489791162,
        "initialAngular": 0.4589429358830315,
        "orbitalAngular": 0.4465089670490018,
        "escapedAngular": 0.012433968834029696,
        "orbitalEnergy": -0.28429510742262065,
        "orbitalEnergyChange": 0.003797665827916352,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.4120181649574075
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.2788259083288722,
        "initialFilling": 1.02,
        "removedFraction": 0.06563024238683283,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 4.882331318024081,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06563024238683283,
        "removed": 0.08392965433418555,
        "donor": 1.1948962539946866,
        "accretor": 1.075536688900767,
        "escapedMass": 0.008392965433418553,
        "massRatio": 1.1109767489344402,
        "separation": 0.977882409300673,
        "periodRatio": 0.9687934306312602,
        "initialAngular": 0.8471412941630525,
        "orbitalAngular": 0.8434209928861284,
        "escapedAngular": 0.0037203012769241317,
        "orbitalEnergy": -0.6571110945335676,
        "orbitalEnergyChange": -0.017698140369131532,
        "massBalanceResidual": 4.440892098500626e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.1109767489344402
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.9835634753224439,
        "initialFilling": 1.02,
        "removedFraction": 0.06559437963180244,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.997126903862227,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.06559437963180244,
        "removed": 0.06451623599227534,
        "donor": 0.9190472393301686,
        "accretor": 1.0645162359922753,
        "escapedMass": 0,
        "massRatio": 0.863347319896432,
        "separation": 1.0107052849019829,
        "periodRatio": 1.0161008271522805,
        "initialAngular": 0.6983599761151311,
        "orbitalAngular": 0.6983599761151311,
        "escapedAngular": 0,
        "orbitalEnergy": -0.48398911261541555,
        "orbitalEnergyChange": 0.007792625045806412,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.15828239337091
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.8785226586624049,
        "initialFilling": 1.02,
        "removedFraction": 0.008619178207591177,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.559150494576898,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.008619178207591177,
        "removed": 0.007572143354418062,
        "donor": 0.8709505153079868,
        "accretor": 1,
        "escapedMass": 0.007572143354418062,
        "massRatio": 0.8709505153079868,
        "separation": 0.984642013178933,
        "periodRatio": 0.9790268717074576,
        "initialAngular": 0.6409803977419944,
        "orbitalAngular": 0.6318318452550081,
        "escapedAngular": 0.009148552486986317,
        "orbitalEnergy": -0.44226759758915263,
        "orbitalEnergyChange": -0.0030062682579501954,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.559150494576898
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.4744960419484414,
        "initialFilling": 1.02,
        "removedFraction": 0.02229681103490293,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 1.2182907118112782,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02229681103490293,
        "removed": 0.010579748584133773,
        "donor": 0.4639162933643076,
        "accretor": 1.000000000001058,
        "escapedMass": 0.010579748583075798,
        "massRatio": 0.4639162933638168,
        "separation": 1.0316297322233086,
        "periodRatio": 1.0515972911714968,
        "initialAngular": 0.3907606186682696,
        "orbitalAngular": 0.38944257550696376,
        "escapedAngular": 0.0013180431613058485,
        "orbitalEnergy": -0.2248463178571797,
        "orbitalEnergyChange": 0.012401703117041002,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4639162933638168
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.4037341982941143,
        "initialFilling": 1.02,
        "removedFraction": 0.07587450155057013,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 3.993258157267701,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07587450155057013,
        "removed": 0.1065076326050551,
        "donor": 1.2972265656890591,
        "accretor": 1.021301526521011,
        "escapedMass": 0.08520610608404408,
        "massRatio": 1.2701700056279819,
        "separation": 1.0258260808396324,
        "periodRatio": 1.0579073748407872,
        "initialAngular": 0.905402437469942,
        "orbitalAngular": 0.8812527840844981,
        "escapedAngular": 0.024149653385443837,
        "orbitalEnergy": -0.6457524801365233,
        "orbitalEnergyChange": 0.05611461901053383,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.7872961852107287
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.2716383251477964,
        "initialFilling": 1.02,
        "removedFraction": 0.01564694638364017,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 2.0783238191273994,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.01564694638364017,
        "removed": 0.004250310309329385,
        "donor": 0.267388014838467,
        "accretor": 1.0021251551546646,
        "escapedMass": 0.0021251551546646926,
        "massRatio": 0.26682097885987033,
        "separation": 1.018845916784795,
        "periodRatio": 1.0292620562252643,
        "initialAngular": 0.24088471307819867,
        "orbitalAngular": 0.240048805983506,
        "escapedAngular": 0.0008359070946926672,
        "orbitalEnergy": -0.13149989190813796,
        "orbitalEnergyChange": 0.004319270665760239,
        "massBalanceResidual": -2.220446049250313e-16,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.0783238191273994
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.4737485992140136,
        "initialFilling": 1.02,
        "removedFraction": 0.04334184487350285,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 0.29649018816417083,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.04334184487350285,
        "removed": 0.10721682804317875,
        "donor": 2.366531771170835,
        "accretor": 1.096495145238861,
        "escapedMass": 0.010721682804317872,
        "massRatio": 2.1582692649818425,
        "separation": 0.8931515462113384,
        "periodRatio": 0.8453936674978765,
        "initialAngular": 1.3272611088368989,
        "orbitalAngular": 1.3178127228796115,
        "escapedAngular": 0.009448385957287364,
        "orbitalEnergy": -1.452659746909478,
        "orbitalEnergyChange": -0.21578544730247118,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 2.1582692649818425
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.281650783366058,
        "initialFilling": 1.02,
        "removedFraction": 0.02908186367712915,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 4.265435434656683,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.02908186367712915,
        "removed": 0.06635465704066663,
        "donor": 2.2152961263253914,
        "accretor": 1.0663546570406666,
        "escapedMass": 0,
        "massRatio": 2.0774477906564894,
        "separation": 0.9328921376560985,
        "periodRatio": 0.9010463864926533,
        "initialAngular": 1.2595139808623905,
        "orbitalAngular": 1.2595139808623905,
        "escapedAngular": 0,
        "orbitalEnergy": -1.266111721643679,
        "orbitalEnergyChange": -0.12528632996064992,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.4813598707498648
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.2674899779143745,
        "initialFilling": 1.02,
        "removedFraction": 0.023159257778897883,
        "retainedFraction": 0,
        "lossAngularMomentumFactor": 3.923491788830143,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.023159257778897883,
        "removed": 0.029354127130688582,
        "donor": 1.238135850783686,
        "accretor": 1,
        "escapedMass": 0.029354127130688582,
        "massRatio": 1.238135850783686,
        "separation": 0.9338733645311645,
        "periodRatio": 0.9083672113580241,
        "initialAngular": 0.8417281390809884,
        "orbitalAngular": 0.7997772963576025,
        "escapedAngular": 0.041950842723385895,
        "orbitalEnergy": -0.6629035037342944,
        "orbitalEnergyChange": -0.02915851477710718,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 3.923491788830143
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.5355509316665121,
        "initialFilling": 1.02,
        "removedFraction": 0.027546686111018064,
        "retainedFraction": 1e-10,
        "lossAngularMomentumFactor": 0.5023437823285349,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.027546686111018064,
        "removed": 0.04229933952209876,
        "donor": 1.4932515921444134,
        "accretor": 1.00000000000423,
        "escapedMass": 0.04229933951786882,
        "massRatio": 1.493251592138097,
        "separation": 0.9881615992654229,
        "periodRatio": 0.9905925925440122,
        "initialAngular": 0.9643352819819669,
        "orbitalAngular": 0.940078067269536,
        "escapedAngular": 0.02425721471243092,
        "orbitalEnergy": -0.7555705429460016,
        "orbitalEnergyChange": 0.012204922887254499,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 1.493251592138097
      }
    },
    {
      "parameters": {
        "initialMassRatio": 0.12371132833650336,
        "initialFilling": 1.02,
        "removedFraction": 0.07400922727771103,
        "retainedFraction": 0.2,
        "lossAngularMomentumFactor": 4.259142521524336,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07400922727771103,
        "removed": 0.00915577981568381,
        "donor": 0.11455554852081955,
        "accretor": 1.0018311559631368,
        "escapedMass": 0.007324623852547048,
        "massRatio": 0.11434616286283146,
        "separation": 1.0342091419417552,
        "periodRatio": 1.0551947222670512,
        "initialAngular": 0.1167030188867213,
        "orbitalAngular": 0.11046063137536963,
        "escapedAngular": 0.006242387511351671,
        "orbitalEnergy": -0.055484578961045014,
        "orbitalEnergyChange": 0.006371085207206667,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 8.745374352435334
      }
    },
    {
      "parameters": {
        "initialMassRatio": 2.1485977945500054,
        "initialFilling": 1.02,
        "removedFraction": 0.03111747636459768,
        "retainedFraction": 0.5,
        "lossAngularMomentumFactor": 4.768212708516512,
        "lossChannel": "constant-specific-j",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03111747636459768,
        "removed": 0.0668589410889365,
        "donor": 2.081738853461069,
        "accretor": 1.0334294705444682,
        "escapedMass": 0.03342947054446825,
        "massRatio": 2.0143985756128022,
        "separation": 0.8913590797807324,
        "periodRatio": 0.8460516436398947,
        "initialAngular": 1.210867247342282,
        "orbitalAngular": 1.150780985822119,
        "escapedAngular": 0.06008626152016294,
        "orbitalEnergy": -1.206769712646744,
        "orbitalEnergyChange": -0.13247081537174132,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 4.768212708516512
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.055477210774552,
        "initialFilling": 1.02,
        "removedFraction": 0.03553930156864226,
        "retainedFraction": 0.9,
        "lossAngularMomentumFactor": 4.682325649715494,
        "lossChannel": "accretor-reemission",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.03553930156864226,
        "removed": 0.03751092289254619,
        "donor": 1.017966287882006,
        "accretor": 1.0337598306032916,
        "escapedMass": 0.0037510922892546182,
        "massRatio": 0.9847222321338713,
        "separation": 1.0004157879308389,
        "periodRatio": 1.0015380300631969,
        "initialAngular": 0.7361944306748667,
        "orbitalAngular": 0.73482449200775,
        "escapedAngular": 0.0013699386671166547,
        "orbitalEnergy": -0.5259476459769318,
        "orbitalEnergyChange": 0.0017909594103442394,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.9847222321338713
      }
    },
    {
      "parameters": {
        "initialMassRatio": 1.7913961463724264,
        "initialFilling": 1.02,
        "removedFraction": 0.07047105471603572,
        "retainedFraction": 1,
        "lossAngularMomentumFactor": 3.2372951375436974,
        "lossChannel": "donor-wind",
        "adiabaticResponse": -0.3333333333333333,
        "equilibriumResponse": 0,
        "launchTransverse": 0,
        "launchSpeed": 0.01,
        "commonEnvelopeEfficiency": 1,
        "scenario": "transfer"
      },
      "actual": {
        "fraction": 0.07047105471603572,
        "removed": 0.1262415758491068,
        "donor": 1.6651545705233195,
        "accretor": 1.126241575849107,
        "escapedMass": 0,
        "massRatio": 1.4785056831771728,
        "separation": 0.9124541540044466,
        "periodRatio": 0.8715987104250026,
        "initialAngular": 1.0722125798591144,
        "orbitalAngular": 1.0722125798591144,
        "escapedAngular": 0,
        "orbitalEnergy": -1.0276496080971247,
        "orbitalEnergyChange": -0.1319515349109115,
        "massBalanceResidual": 0,
        "angularBalanceResidual": 0,
        "effectiveLossFactor": 0.6763585770269694
      }
    }
  ],
  "failures": [
    {
      "q": 1,
      "stellarResponse": 0.46,
      "response": {
        "massRatio": 1,
        "l1": -2.775557561587547e-17,
        "criticalPotential": 2,
        "volumeRadius": 0.37986318514762385,
        "logarithmicResponse": 0.232171751437646,
        "fittedRadius": 0.3789205183804563,
        "fittedLogarithmicResponse": 0.2284592644579757,
        "numericalResponseHull": [
          0.23217167068542244,
          0.2321718321898696
        ],
        "relativeRadiusRefinement": 1.0116518787128825e-06,
        "responseRefinement": 8.075222357462053e-08,
        "order": 128,
        "evaluations": 1053696,
        "status": "refined"
      },
      "feedback": {
        "status": "near-threshold",
        "stellarResponse": 0.46,
        "exactHull": [
          0.4643433413708449,
          0.4643436643797392
        ],
        "fittedLobeResponse": 0.4569185289159514,
        "exactLobeResponse": 0.464343502875292,
        "signedMargin": 0,
        "numericalCertificate": false
      }
    },
    {
      "q": 0.6323329047973826,
      "stellarResponse": -0.3333333333333333,
      "response": {
        "massRatio": 0.6323329047973826,
        "l1": -0.15962679878943514,
        "criticalPotential": 1.987846167555852,
        "volumeRadius": 0.3402196416191814,
        "logarithmicResponse": 0.24845509978603852,
        "fittedRadius": 0.34001019381789716,
        "fittedLogarithmicResponse": 0.24409470351865487,
        "numericalResponseHull": [
          0.24845502772627356,
          0.24845517184580349
        ],
        "relativeRadiusRefinement": 1.0467827999960377e-06,
        "responseRefinement": 7.205976496060806e-08,
        "order": 128,
        "evaluations": 1053696,
        "status": "refined"
      },
      "feedback": {
        "status": "near-threshold",
        "stellarResponse": -0.3333333333333333,
        "exactHull": [
          -0.3297728732852925,
          -0.32977263803424156
        ],
        "fittedLobeResponse": -0.33689037396497307,
        "exactLobeResponse": -0.329772755659767,
        "signedMargin": 0,
        "numericalCertificate": false
      }
    }
  ],
  "budgetFeedback": {
    "status": "withheld-work-budget",
    "stellarResponse": 10,
    "exactHull": [
      -0.8811979418003328,
      -0.8811961399046221
    ],
    "fittedLobeResponse": -0.8863842612363612,
    "exactLobeResponse": -0.8811970408524774,
    "signedMargin": 10.881196139904622,
    "numericalCertificate": false
  },
  "presets": [
    {
      "name": "lighter",
      "actual": {
        "schema": "binary-mass-transfer-v1",
        "parameters": {
          "initialMassRatio": 0.4,
          "initialFilling": 1.02,
          "removedFraction": 0.005,
          "retainedFraction": 1,
          "lossAngularMomentumFactor": 2,
          "lossChannel": "constant-specific-j",
          "adiabaticResponse": -0.3333333333333333,
          "equilibriumResponse": 0,
          "launchTransverse": 0,
          "launchSpeed": 0.01,
          "commonEnvelopeEfficiency": 1,
          "scenario": "transfer"
        },
        "scenario": "transfer",
        "snapshot": {
          "fraction": 0.005,
          "removed": 0.002,
          "donor": 0.398,
          "accretor": 1.002,
          "escapedMass": 0,
          "massRatio": 0.3972055888223553,
          "separation": 1.0060472897955188,
          "periodRatio": 1.009084634545501,
          "initialAngular": 0.33806170189140666,
          "orbitalAngular": 0.33806170189140666,
          "escapedAngular": 0,
          "orbitalEnergy": -0.1981994306058198,
          "orbitalEnergyChange": 0.001800569394180218,
          "massBalanceResidual": 0,
          "angularBalanceResidual": 0,
          "effectiveLossFactor": 2
        },
        "initialRoche": {
          "massRatio": 0.4,
          "l1": -0.3072332261881352,
          "criticalPotential": 1.953741963763918,
          "volumeRadius": 0.3026185309223325,
          "logarithmicResponse": 0.26268231703159434,
          "fittedRadius": 0.30305259638369153,
          "fittedLogarithmicResponse": 0.25817663707739374,
          "numericalResponseHull": [
            0.2626822558428504,
            0.2626823782203383
          ],
          "relativeRadiusRefinement": 1.077348646738585e-06,
          "responseRefinement": 6.118874396054963e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "currentRoche": {
          "massRatio": 0.3972055888223553,
          "l1": -0.3093521302349348,
          "criticalPotential": 1.9530777230594112,
          "volumeRadius": 0.302061544446524,
          "logarithmicResponse": 0.26288371456826354,
          "fittedRadius": 0.3025043644609885,
          "fittedLogarithmicResponse": 0.25837961940662574,
          "numericalResponseHull": [
            0.26288365355516646,
            0.2628837755813606
          ],
          "relativeRadiusRefinement": 1.0777769976488827e-06,
          "responseRefinement": 6.101309707462477e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionRoche": {
          "massRatio": 2.5175879396984926,
          "l1": 0.309352130234935,
          "criticalPotential": 1.9530777230594114,
          "volumeRadius": 0.46273610881123917,
          "logarithmicResponse": 0.19441026503013425,
          "fittedRadius": 0.4604970547962221,
          "fittedLogarithmicResponse": 0.19319216399189476,
          "numericalResponseHull": [
            0.19441017803817587,
            0.19441035202209264
          ],
          "relativeRadiusRefinement": 9.329125478796385e-07,
          "responseRefinement": 8.699195838679508e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionFilling": 0.17184551474118415,
        "companionGeometrySupported": true,
        "filling": 1.0174369273599249,
        "donorRadius": 0.30918707457841244,
        "surface": {
          "vertices": [
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.3093521302349348,
            0,
            0,
            -0.33552756555111873,
            0.03995923448091539,
            0,
            -0.33554700872963605,
            0.039738301247853776,
            0.004176663763412748,
            -0.33560438136040704,
            0.03907813209676784,
            0.008306313394975904,
            -0.335696875520657,
            0.037986566103199594,
            0.012342583519182828,
            -0.3358200132230958,
            0.036476497057535126,
            0.01624038282958705,
            -0.33596792488862354,
            0.03456562937567089,
            0.019956475424752422,
            -0.3361336957891205,
            0.032276159848810264,
            0.02345000277085973,
            -0.33630974762599813,
            0.029634403916261372,
            0.026682937136557488,
            -0.33648822444469106,
            0.02667038513663278,
            0.02962046350805886,
            -0.3366613579259826,
            0.02341740447974602,
            0.03223129215028309,
            -0.33682179473479196,
            0.019911602756153456,
            0.03448790763378626,
            -0.3369628762170978,
            0.01619152572936639,
            0.03636676221377318,
            -0.33707886706262347,
            0.012297697822970034,
            0.03784842213491082,
            -0.33716513400141074,
            0.008272207205108921,
            0.03891767508900006,
            -0.3372182781161091,
            0.004158302555839207,
            0.03956360602717948,
            -0.3372362251939806,
            1.1268656903470293e-17,
            0.039779647115823075,
            -0.3372182781161091,
            -0.004158302555839202,
            0.03956360602717948,
            -0.33716513400141074,
            -0.008272207205108925,
            0.03891767508900006,
            -0.33707886706262347,
            -0.012297697822970029,
            0.037848422134910825,
            -0.3369628762170978,
            -0.016191525729366378,
            0.036366762213773184,
            -0.33682179473479196,
            -0.019911602756153442,
            0.034487907633786265,
            -0.3366613579259826,
            -0.023417404479746013,
            0.03223129215028309,
            -0.33648822444469106,
            -0.02667038513663277,
            0.02962046350805887,
            -0.33630974762599813,
            -0.02963440391626137,
            0.0266829371365575,
            -0.3361336957891205,
            -0.03227615984881026,
            0.023450002770859738,
            -0.33596792488862354,
            -0.03456562937567089,
            0.019956475424752422,
            -0.3358200132230958,
            -0.03647649705753513,
            0.016240382829587046,
            -0.335696875520657,
            -0.037986566103199594,
            0.012342583519182833,
            -0.33560438136040704,
            -0.03907813209676784,
            0.008306313394975904,
            -0.33554700872963605,
            -0.03973830124785378,
            0.004176663763412742,
            -0.33552756555111873,
            -0.03995923448091539,
            2.263905972718625e-17,
            -0.33554700872963605,
            -0.03973830124785378,
            -0.004176663763412732,
            -0.33560438136040704,
            -0.03907813209676784,
            -0.008306313394975893,
            -0.335696875520657,
            -0.0379865661031996,
            -0.012342583519182826,
            -0.3358200132230958,
            -0.036476497057535126,
            -0.01624038282958705,
            -0.33596792488862354,
            -0.0345656293756709,
            -0.019956475424752415,
            -0.3361336957891205,
            -0.032276159848810264,
            -0.023450002770859728,
            -0.33630974762599813,
            -0.029634403916261372,
            -0.026682937136557488,
            -0.33648822444469106,
            -0.02667038513663279,
            -0.029620463508058855,
            -0.3366613579259826,
            -0.023417404479746023,
            -0.032231292150283086,
            -0.33682179473479196,
            -0.019911602756153467,
            -0.03448790763378626,
            -0.3369628762170978,
            -0.01619152572936641,
            -0.03636676221377316,
            -0.33707886706262347,
            -0.01229769782297004,
            -0.03784842213491082,
            -0.33716513400141074,
            -0.008272207205108944,
            -0.03891767508900006,
            -0.3372182781161091,
            -0.004158302555839238,
            -0.03956360602717948,
            -0.3372362251939806,
            -7.307402626740594e-18,
            -0.039779647115823075,
            -0.3372182781161091,
            0.004158302555839189,
            -0.03956360602717948,
            -0.33716513400141074,
            0.00827220720510893,
            -0.03891767508900006,
            -0.33707886706262347,
            0.012297697822970025,
            -0.037848422134910825,
            -0.3369628762170978,
            0.016191525729366364,
            -0.036366762213773184,
            -0.33682179473479196,
            0.019911602756153456,
            -0.03448790763378626,
            -0.3366613579259826,
            0.023417404479746013,
            -0.03223129215028309,
            -0.33648822444469106,
            0.02667038513663279,
            -0.029620463508058855,
            -0.33630974762599813,
            0.029634403916261372,
            -0.026682937136557488,
            -0.3361336957891205,
            0.03227615984881026,
            -0.02345000277085974,
            -0.33596792488862354,
            0.0345656293756709,
            -0.01995647542475241,
            -0.3358200132230958,
            0.03647649705753513,
            -0.01624038282958705,
            -0.335696875520657,
            0.037986566103199594,
            -0.012342583519182838,
            -0.33560438136040704,
            0.03907813209676784,
            -0.00830631339497589,
            -0.33554700872963605,
            0.039738301247853776,
            -0.004176663763412746,
            -0.33552756555111873,
            0.03995923448091539,
            -4.52781194543725e-17,
            -0.36043787409119654,
            0.07551633249706728,
            0,
            -0.3604723777723075,
            0.07509535231875293,
            0.00789283957746907,
            -0.36057416370976747,
            0.07383778324318471,
            0.015694705327507715,
            -0.3607381746860964,
            0.07175959335087816,
            0.023316105273364213,
            -0.36095636090097133,
            0.06888692271959426,
            0.030670434037395684,
            -0.361218199959581,
            0.06525542043936686,
            0.037675234556750654,
            -0.3615113390354321,
            0.060909401303101136,
            0.04425327040204812,
            -0.36182229510871183,
            0.05590088816261511,
            0.0503333857814599,
            -0.36213715413447783,
            0.05028860398014381,
            0.05585115293363687,
            -0.3624422224874859,
            0.0441369680462863,
            0.06074932484332235,
            -0.362724599869637,
            0.0375151369640599,
            0.06497812327465698,
            -0.36297265830034314,
            0.03049611596847659,
            0.06849539792644598,
            -0.3631764243341908,
            0.023155952283595287,
            0.07126669313083692,
            -0.3633278701482344,
            0.015573010795033423,
            0.07326525548154729,
            -0.3634211235917946,
            0.007827323721406992,
            0.07447201058664793,
            -0.3634526083182173,
            2.121051165549967e-17,
            0.07487553095542283,
            -0.3634211235917946,
            -0.007827323721406983,
            0.07447201058664794,
            -0.3633278701482344,
            -0.01557301079503343,
            0.07326525548154729,
            -0.3631764243341908,
            -0.023155952283595276,
            0.07126669313083693,
            -0.36297265830034314,
            -0.03049611596847657,
            0.06849539792644599,
            -0.362724599869637,
            -0.03751513696405988,
            0.06497812327465698,
            -0.3624422224874859,
            -0.044136968046286286,
            0.06074932484332235,
            -0.36213715413447783,
            -0.05028860398014378,
            0.055851152933636884,
            -0.36182229510871183,
            -0.055900888162615105,
            0.050333385781459905,
            -0.3615113390354321,
            -0.060909401303101136,
            0.044253270402048135,
            -0.361218199959581,
            -0.06525542043936686,
            0.037675234556750654,
            -0.36095636090097133,
            -0.06888692271959428,
            0.030670434037395673,
            -0.3607381746860964,
            -0.07175959335087816,
            0.023316105273364224,
            -0.36057416370976747,
            -0.07383778324318471,
            0.015694705327507715,
            -0.3604723777723075,
            -0.07509535231875294,
            0.007892839577469057,
            -0.36043787409119654,
            -0.07551633249706728,
            4.278407191698529e-17,
            -0.3604723777723075,
            -0.07509535231875294,
            -0.00789283957746904,
            -0.36057416370976747,
            -0.07383778324318471,
            -0.015694705327507694,
            -0.3607381746860964,
            -0.07175959335087816,
            -0.023316105273364203,
            -0.36095636090097133,
            -0.06888692271959426,
            -0.030670434037395684,
            -0.361218199959581,
            -0.06525542043936687,
            -0.03767523455675064,
            -0.3615113390354321,
            -0.060909401303101136,
            -0.044253270402048114,
            -0.36182229510871183,
            -0.05590088816261511,
            -0.0503333857814599,
            -0.36213715413447783,
            -0.050288603980143814,
            -0.05585115293363685,
            -0.3624422224874859,
            -0.04413696804628631,
            -0.06074932484332235,
            -0.362724599869637,
            -0.03751513696405993,
            -0.06497812327465696,
            -0.36297265830034314,
            -0.03049611596847663,
            -0.06849539792644596,
            -0.3631764243341908,
            -0.023155952283595294,
            -0.07126669313083692,
            -0.3633278701482344,
            -0.015573010795033466,
            -0.07326525548154728,
            -0.3634211235917946,
            -0.007827323721407051,
            -0.07447201058664793,
            -0.3634526083182173,
            -1.3754411897852568e-17,
            -0.07487553095542283,
            -0.3634211235917946,
            0.007827323721406957,
            -0.07447201058664794,
            -0.3633278701482344,
            0.015573010795033438,
            -0.07326525548154728,
            -0.3631764243341908,
            0.023155952283595266,
            -0.07126669313083693,
            -0.36297265830034314,
            0.030496115968476546,
            -0.068495397926446,
            -0.362724599869637,
            0.0375151369640599,
            -0.06497812327465698,
            -0.3624422224874859,
            0.044136968046286286,
            -0.060749324843322364,
            -0.36213715413447783,
            0.050288603980143814,
            -0.05585115293363685,
            -0.36182229510871183,
            0.05590088816261511,
            -0.05033338578145989,
            -0.3615113390354321,
            0.060909401303101136,
            -0.04425327040204814,
            -0.361218199959581,
            0.06525542043936687,
            -0.037675234556750634,
            -0.36095636090097133,
            0.06888692271959428,
            -0.030670434037395684,
            -0.3607381746860964,
            0.07175959335087816,
            -0.023316105273364227,
            -0.36057416370976747,
            0.07383778324318471,
            -0.01569470532750769,
            -0.3604723777723075,
            0.07509535231875293,
            -0.007892839577469068,
            -0.36043787409119654,
            0.07551633249706728,
            -8.556814383397057e-17,
            -0.38485655123835766,
            0.10750219458222608,
            0,
            -0.38490289082722723,
            0.10689831214890283,
            0.011235465349602002,
            -0.3850395534610257,
            0.10509485204371796,
            0.022338600399632386,
            -0.38525963929268725,
            0.10211610161443829,
            0.03317953271705189,
            -0.38555218808237296,
            0.09800165641923554,
            0.043633148645595095,
            -0.3859029155608408,
            0.0928051963627122,
            0.053581105102207954,
            -0.3862951156450427,
            0.08659295331693254,
            0.06291346321033436,
            -0.3867106337499247,
            0.07944200843498156,
            0.0715299056820005,
            -0.387130825371132,
            0.0714385502613118,
            0.0793405479614672,
            -0.38753743425666176,
            0.06267620146794342,
            0.08626639054428614,
            -0.3879133491757656,
            0.053254490362479076,
            0.09223948303900086,
            -0.3882432217284234,
            0.04327751039417074,
            0.09720287982832941,
            -0.38851394610008616,
            0.032852781738190916,
            0.10111046550604195,
            -0.38871501366181466,
            0.022090306143368203,
            0.10392671940968697,
            -0.3888387610371648,
            0.01110178998639578,
            0.10562647602480825,
            -0.3888805308283768,
            3.0082517078249886e-17,
            0.10619472435618965,
            -0.3888387610371648,
            -0.011101789986395768,
            0.10562647602480826,
            -0.38871501366181466,
            -0.022090306143368217,
            0.10392671940968697,
            -0.38851394610008616,
            -0.032852781738190895,
            0.10111046550604198,
            -0.3882432217284234,
            -0.043277510394170715,
            0.09720287982832941,
            -0.3879133491757656,
            -0.05325449036247905,
            0.09223948303900086,
            -0.38753743425666176,
            -0.06267620146794341,
            0.08626639054428614,
            -0.387130825371132,
            -0.07143855026131177,
            0.07934054796146722,
            -0.3867106337499247,
            -0.07944200843498155,
            0.07152990568200054,
            -0.3862951156450427,
            -0.08659295331693254,
            0.06291346321033439,
            -0.3859029155608408,
            -0.0928051963627122,
            0.053581105102207954,
            -0.38555218808237296,
            -0.09800165641923554,
            0.04363314864559509,
            -0.38525963929268725,
            -0.10211610161443829,
            0.033179532717051895,
            -0.3850395534610257,
            -0.10509485204371796,
            0.022338600399632386,
            -0.38490289082722723,
            -0.10689831214890284,
            0.011235465349601985,
            -0.38485655123835766,
            -0.10750219458222608,
            6.090578649881238e-17,
            -0.38490289082722723,
            -0.10689831214890284,
            -0.011235465349601959,
            -0.3850395534610257,
            -0.10509485204371796,
            -0.022338600399632355,
            -0.38525963929268725,
            -0.1021161016144383,
            -0.03317953271705187,
            -0.38555218808237296,
            -0.09800165641923554,
            -0.04363314864559511,
            -0.3859029155608408,
            -0.09280519636271221,
            -0.05358110510220794,
            -0.3862951156450427,
            -0.08659295331693254,
            -0.06291346321033435,
            -0.3867106337499247,
            -0.07944200843498156,
            -0.0715299056820005,
            -0.387130825371132,
            -0.07143855026131184,
            -0.07934054796146717,
            -0.38753743425666176,
            -0.06267620146794343,
            -0.08626639054428614,
            -0.3879133491757656,
            -0.05325449036247912,
            -0.09223948303900084,
            -0.3882432217284234,
            -0.04327751039417081,
            -0.09720287982832937,
            -0.38851394610008616,
            -0.03285278173819092,
            -0.10111046550604195,
            -0.38871501366181466,
            -0.02209030614336826,
            -0.10392671940968697,
            -0.3888387610371648,
            -0.011101789986395863,
            -0.10562647602480825,
            -0.3888805308283768,
            -1.9507654390371465e-17,
            -0.10619472435618965,
            -0.3888387610371648,
            0.01110178998639573,
            -0.10562647602480826,
            -0.38871501366181466,
            0.02209030614336822,
            -0.10392671940968697,
            -0.38851394610008616,
            0.03285278173819089,
            -0.10111046550604198,
            -0.3882432217284234,
            0.04327751039417069,
            -0.09720287982832942,
            -0.3879133491757656,
            0.053254490362479076,
            -0.09223948303900086,
            -0.38753743425666176,
            0.0626762014679434,
            -0.08626639054428616,
            -0.387130825371132,
            0.07143855026131184,
            -0.07934054796146717,
            -0.3867106337499247,
            0.07944200843498156,
            -0.0715299056820005,
            -0.3862951156450427,
            0.08659295331693254,
            -0.06291346321033439,
            -0.3859029155608408,
            0.09280519636271221,
            -0.05358110510220793,
            -0.38555218808237296,
            0.09800165641923554,
            -0.043633148645595095,
            -0.38525963929268725,
            0.10211610161443829,
            -0.03317953271705191,
            -0.3850395534610257,
            0.10509485204371796,
            -0.02233860039963235,
            -0.38490289082722723,
            0.10689831214890283,
            -0.011235465349601997,
            -0.38485655123835766,
            0.10750219458222608,
            -1.2181157299762476e-16,
            -0.409263557484038,
            0.13644065484179668,
            0,
            -0.40931904789474904,
            0.13566864807757292,
            0.01425934950572149,
            -0.4094826472168089,
            0.13336368573538906,
            0.02834732649155567,
            -0.4097459546624745,
            0.12955850875092903,
            0.04209611130774019,
            -0.41009565521548325,
            0.12430629583050624,
            0.055344728668190256,
            -0.4105144508955919,
            0.11767875453096874,
            0.06794186060635468,
            -0.4109821922214202,
            0.10976376042972885,
            0.07974803998599,
            -0.41147708501784147,
            0.10066277811751084,
            0.09063717252726286,
            -0.4119768617858464,
            0.09048828096159275,
            0.10049741728132511,
            -0.41245983565488603,
            0.07936134239117355,
            0.10923151685153382,
            -0.4129057890058908,
            0.06740951444486643,
            0.11675670393205675,
            -0.4132966802379373,
            0.05476505241926965,
            0.12300432165847162,
            -0.4136171760361137,
            0.04156349616655415,
            0.12791928789925044,
            -0.41385503123881345,
            0.027942582559719084,
            0.13145951524704202,
            -0.41400134463256144,
            0.014041439768778087,
            0.13359537542216962,
            -0.4140507185076986,
            3.804672064743874e-17,
            0.134309273432872,
            -0.41400134463256144,
            -0.014041439768778068,
            0.13359537542216965,
            -0.41385503123881345,
            -0.027942582559719098,
            0.13145951524704202,
            -0.4136171760361137,
            -0.04156349616655413,
            0.12791928789925047,
            -0.4132966802379373,
            -0.05476505241926961,
            0.12300432165847165,
            -0.4129057890058908,
            -0.06740951444486638,
            0.11675670393205678,
            -0.41245983565488603,
            -0.07936134239117354,
            0.10923151685153382,
            -0.4119768617858464,
            -0.09048828096159271,
            0.10049741728132514,
            -0.41147708501784147,
            -0.10066277811751083,
            0.09063717252726289,
            -0.4109821922214202,
            -0.10976376042972885,
            0.07974803998599002,
            -0.4105144508955919,
            -0.11767875453096874,
            0.06794186060635468,
            -0.41009565521548325,
            -0.12430629583050626,
            0.05534472866819024,
            -0.4097459546624745,
            -0.12955850875092903,
            0.04209611130774021,
            -0.4094826472168089,
            -0.13336368573538906,
            0.02834732649155567,
            -0.40931904789474904,
            -0.13566864807757295,
            0.014259349505721466,
            -0.409263557484038,
            -0.13644065484179668,
            7.730098372267613e-17,
            -0.40931904789474904,
            -0.13566864807757295,
            -0.014259349505721433,
            -0.4094826472168089,
            -0.13336368573538906,
            -0.028347326491555636,
            -0.4097459546624745,
            -0.12955850875092903,
            -0.04209611130774017,
            -0.41009565521548325,
            -0.12430629583050624,
            -0.05534472866819027,
            -0.4105144508955919,
            -0.11767875453096877,
            -0.06794186060635465,
            -0.4109821922214202,
            -0.10976376042972885,
            -0.07974803998598998,
            -0.41147708501784147,
            -0.10066277811751084,
            -0.09063717252726286,
            -0.4119768617858464,
            -0.0904882809615928,
            -0.10049741728132508,
            -0.41245983565488603,
            -0.07936134239117358,
            -0.10923151685153382,
            -0.4129057890058908,
            -0.06740951444486648,
            -0.11675670393205674,
            -0.4132966802379373,
            -0.05476505241926972,
            -0.12300432165847157,
            -0.4136171760361137,
            -0.04156349616655416,
            -0.12791928789925044,
            -0.41385503123881345,
            -0.02794258255971916,
            -0.13145951524704202,
            -0.41400134463256144,
            -0.01404143976877819,
            -0.13359537542216962,
            -0.4140507185076986,
            -2.4672213270805997e-17,
            -0.134309273432872,
            -0.41400134463256144,
            0.014041439768778023,
            -0.13359537542216965,
            -0.41385503123881345,
            0.027942582559719112,
            -0.13145951524704202,
            -0.4136171760361137,
            0.04156349616655412,
            -0.12791928789925047,
            -0.4132966802379373,
            0.054765052419269565,
            -0.12300432165847165,
            -0.4129057890058908,
            0.06740951444486643,
            -0.11675670393205675,
            -0.41245983565488603,
            0.07936134239117353,
            -0.10923151685153383,
            -0.4119768617858464,
            0.0904882809615928,
            -0.10049741728132508,
            -0.41147708501784147,
            0.10066277811751084,
            -0.09063717252726286,
            -0.4109821922214202,
            0.10976376042972885,
            -0.07974803998599003,
            -0.4105144508955919,
            0.11767875453096877,
            -0.06794186060635464,
            -0.41009565521548325,
            0.12430629583050626,
            -0.055344728668190256,
            -0.4097459546624745,
            0.12955850875092903,
            -0.04209611130774022,
            -0.4094826472168089,
            0.13336368573538906,
            -0.028347326491555625,
            -0.40931904789474904,
            0.13566864807757292,
            -0.014259349505721483,
            -0.409263557484038,
            0.13644065484179668,
            -1.5460196744535226e-16,
            -0.43396794112561277,
            0.1626663278914633,
            0,
            -0.4340301273114276,
            0.16173951819764215,
            0.01699950837240214,
            -0.43421340741913833,
            0.15897305523926308,
            0.03379076601983625,
            -0.4345082029446242,
            0.15440821728278634,
            0.05017027105538752,
            -0.4348993676756353,
            0.148111817327441,
            0.06594362970735461,
            -0.4353672908378953,
            0.14017349743819513,
            0.08092920647919327,
            -0.4358892256403995,
            0.1307024182330529,
            0.09496086535945622,
            -0.43644068951445497,
            0.11982369512570677,
            0.10788973969389776,
            -0.43699680267891683,
            0.10767490053484167,
            0.11958509206698371,
            -0.4375334699136502,
            0.09440287795472202,
            0.12993441445732612,
            -0.43802835404274665,
            0.08016102370036753,
            0.13884296583576947,
            -0.43846162852153203,
            0.06510710573710571,
            0.1462329537280095,
            -0.43881652498729323,
            0.04940161881804722,
            0.15204254894611113,
            -0.439079708169947,
            0.033206625639711655,
            0.15622489081876678,
            -0.43924151648734155,
            0.01668500345160679,
            0.1587472037585488,
            -0.43929610456149126,
            4.520819916179004e-17,
            0.15959011129747253,
            -0.43924151648734155,
            -0.016685003451606773,
            0.15874720375854884,
            -0.439079708169947,
            -0.033206625639711676,
            0.15622489081876678,
            -0.43881652498729323,
            -0.0494016188180472,
            0.15204254894611113,
            -0.43846162852153203,
            -0.06510710573710567,
            0.14623295372800954,
            -0.43802835404274665,
            -0.08016102370036748,
            0.13884296583576947,
            -0.4375334699136502,
            -0.094402877954722,
            0.12993441445732612,
            -0.43699680267891683,
            -0.10767490053484162,
            0.11958509206698376,
            -0.43644068951445497,
            -0.11982369512570676,
            0.10788973969389778,
            -0.4358892256403995,
            -0.1307024182330529,
            0.09496086535945625,
            -0.4353672908378953,
            -0.14017349743819513,
            0.08092920647919327,
            -0.4348993676756353,
            -0.148111817327441,
            0.0659436297073546,
            -0.4345082029446242,
            -0.15440821728278634,
            0.050170271055387544,
            -0.43421340741913833,
            -0.15897305523926308,
            0.03379076601983625,
            -0.4340301273114276,
            -0.16173951819764218,
            0.016999508372402113,
            -0.43396794112561277,
            -0.1626663278914633,
            9.215924080066457e-17,
            -0.4340301273114276,
            -0.16173951819764218,
            -0.016999508372402074,
            -0.43421340741913833,
            -0.15897305523926308,
            -0.03379076601983621,
            -0.4345082029446242,
            -0.15440821728278634,
            -0.05017027105538751,
            -0.4348993676756353,
            -0.148111817327441,
            -0.06594362970735462,
            -0.4353672908378953,
            -0.14017349743819515,
            -0.08092920647919323,
            -0.4358892256403995,
            -0.1307024182330529,
            -0.0949608653594562,
            -0.43644068951445497,
            -0.11982369512570677,
            -0.10788973969389776,
            -0.43699680267891683,
            -0.10767490053484172,
            -0.11958509206698369,
            -0.4375334699136502,
            -0.09440287795472203,
            -0.1299344144573261,
            -0.43802835404274665,
            -0.08016102370036758,
            -0.13884296583576944,
            -0.43846162852153203,
            -0.06510710573710579,
            -0.14623295372800946,
            -0.43881652498729323,
            -0.04940161881804724,
            -0.15204254894611113,
            -0.439079708169947,
            -0.033206625639711745,
            -0.15622489081876678,
            -0.43924151648734155,
            -0.016685003451606915,
            -0.1587472037585488,
            -0.43929610456149126,
            -2.931622784640294e-17,
            -0.15959011129747253,
            -0.43924151648734155,
            0.016685003451606718,
            -0.15874720375854884,
            -0.439079708169947,
            0.03320662563971169,
            -0.15622489081876678,
            -0.43881652498729323,
            0.04940161881804719,
            -0.15204254894611113,
            -0.43846162852153203,
            0.06510710573710561,
            -0.14623295372800957,
            -0.43802835404274665,
            0.08016102370036753,
            -0.13884296583576947,
            -0.4375334699136502,
            0.09440287795472199,
            -0.12993441445732612,
            -0.43699680267891683,
            0.10767490053484172,
            -0.11958509206698369,
            -0.43644068951445497,
            0.11982369512570677,
            -0.10788973969389773,
            -0.4358892256403995,
            0.1307024182330529,
            -0.09496086535945626,
            -0.4353672908378953,
            0.14017349743819515,
            -0.08092920647919322,
            -0.4348993676756353,
            0.148111817327441,
            -0.06594362970735461,
            -0.4345082029446242,
            0.15440821728278634,
            -0.050170271055387565,
            -0.43421340741913833,
            0.15897305523926308,
            -0.033790766019836195,
            -0.4340301273114276,
            0.16173951819764215,
            -0.016999508372402133,
            -0.43396794112561277,
            0.1626663278914633,
            -1.8431848160132915e-16,
            -0.4591706128250314,
            0.1863898886447391,
            0,
            -0.4592371078492747,
            0.18532077852468315,
            0.019477998705676618,
            -0.459433020305496,
            0.1821303383488329,
            0.038712998495225685,
            -0.4597479252712237,
            0.1768684050778525,
            0.05746802845109445,
            -0.46016537824536896,
            0.16961538084127106,
            0.07551763302006577,
            -0.460664161982766,
            0.16047863104322604,
            0.09265238083198915,
            -0.4612197745202615,
            0.1495881204692291,
            0.10868213120528415,
            -0.4618059783794503,
            0.13709177804152842,
            0.123437991388574,
            -0.4623962584232339,
            0.12315102565780996,
            0.13677307030961477,
            -0.46296508385620433,
            0.10793679513751282,
            0.14856225338087353,
            -0.46348892263643976,
            0.09162622645882411,
            0.15870127953249508,
            -0.46394700201783984,
            0.07440011982426338,
            0.16710540510817554,
            -0.464321840806804,
            0.056441120432100686,
            0.1737079071736021,
            -0.4645995961594655,
            0.03793255267160625,
            0.17845862942821625,
            -0.46477027259752873,
            0.01905778597290274,
            0.18132272143676764,
            -0.4648278368628445,
            5.163562938889895e-17,
            0.18227967479081372,
            -0.46477027259752873,
            -0.01905778597290272,
            0.18132272143676764,
            -0.4645995961594655,
            -0.03793255267160627,
            0.17845862942821625,
            -0.464321840806804,
            -0.056441120432100665,
            0.1737079071736021,
            -0.46394700201783984,
            -0.07440011982426332,
            0.16710540510817554,
            -0.46348892263643976,
            -0.09162622645882405,
            0.1587012795324951,
            -0.46296508385620433,
            -0.10793679513751281,
            0.14856225338087353,
            -0.4623962584232339,
            -0.1231510256578099,
            0.13677307030961483,
            -0.4618059783794503,
            -0.13709177804152842,
            0.12343799138857406,
            -0.4612197745202615,
            -0.14958812046922906,
            0.1086821312052842,
            -0.460664161982766,
            -0.16047863104322604,
            0.09265238083198915,
            -0.46016537824536896,
            -0.16961538084127106,
            0.07551763302006576,
            -0.4597479252712237,
            -0.1768684050778525,
            0.05746802845109448,
            -0.459433020305496,
            -0.1821303383488329,
            0.038712998495225685,
            -0.4592371078492747,
            -0.18532077852468315,
            0.019477998705676586,
            -0.4591706128250314,
            -0.1863898886447391,
            1.055999164245045e-16,
            -0.4592371078492747,
            -0.18532077852468315,
            -0.019477998705676545,
            -0.459433020305496,
            -0.1821303383488329,
            -0.03871299849522564,
            -0.4597479252712237,
            -0.1768684050778525,
            -0.05746802845109443,
            -0.46016537824536896,
            -0.16961538084127106,
            -0.07551763302006578,
            -0.460664161982766,
            -0.16047863104322604,
            -0.09265238083198912,
            -0.4612197745202615,
            -0.1495881204692291,
            -0.10868213120528414,
            -0.4618059783794503,
            -0.13709177804152842,
            -0.123437991388574,
            -0.4623962584232339,
            -0.12315102565781001,
            -0.13677307030961475,
            -0.46296508385620433,
            -0.10793679513751286,
            -0.14856225338087353,
            -0.46348892263643976,
            -0.09162622645882416,
            -0.15870127953249508,
            -0.46394700201783984,
            -0.07440011982426346,
            -0.16710540510817548,
            -0.464321840806804,
            -0.05644112043210071,
            -0.1737079071736021,
            -0.4645995961594655,
            -0.03793255267160635,
            -0.17845862942821622,
            -0.46477027259752873,
            -0.019057785972902884,
            -0.18132272143676764,
            -0.4648278368628445,
            -3.348423304232858e-17,
            -0.18227967479081372,
            -0.46477027259752757,
            0.019057785972902745,
            -0.1813227214367685,
            -0.4645995961594655,
            0.037932552671606286,
            -0.17845862942821622,
            -0.464321840806804,
            0.056441120432100644,
            -0.1737079071736021,
            -0.46394700201783984,
            0.07440011982426327,
            -0.1671054051081756,
            -0.46348892263643976,
            0.09162622645882411,
            -0.15870127953249508,
            -0.46296508385620433,
            0.1079367951375128,
            -0.14856225338087356,
            -0.4623962584232339,
            0.12315102565781001,
            -0.13677307030961475,
            -0.4618059783794503,
            0.13709177804152842,
            -0.12343799138857399,
            -0.4612197745202615,
            0.14958812046922906,
            -0.10868213120528421,
            -0.460664161982766,
            0.16047863104322604,
            -0.09265238083198911,
            -0.46016537824536896,
            0.16961538084127106,
            -0.07551763302006577,
            -0.4597479252712237,
            0.1768684050778525,
            -0.05746802845109449,
            -0.459433020305496,
            0.1821303383488329,
            -0.03871299849522562,
            -0.4592371078492747,
            0.18532077852468315,
            -0.01947799870567661,
            -0.4591706128250314,
            0.1863898886447391,
            -2.11199832849009e-16,
            -0.48499891604751166,
            0.20773705192963446,
            0,
            -0.48506732015581766,
            0.2065377926912939,
            0.021707996754279264,
            -0.48526878642113846,
            0.20295981651905196,
            0.04314044075646824,
            -0.4855923978325474,
            0.19706145760992924,
            0.06402914894583196,
            -0.4860209766598351,
            0.1889365339718534,
            0.08411996462703984,
            -0.4865324390407917,
            0.1787097647967715,
            0.1031781308122307,
            -0.48710139678657105,
            0.16653126973282678,
            0.12099204970363059,
            -0.48770080441368513,
            0.15257079900066503,
            0.13737536446195162,
            -0.4883034844657362,
            0.13701225702053102,
            0.1521675273319957,
            -0.48888342154757414,
            0.12004892340192604,
            0.16523316774243976,
            -0.4894167762935465,
            0.10187959634848104,
            0.17646063713017776,
            -0.48988262099060453,
            0.0827057249792079,
            0.1857600997157094,
            -0.49026343236373243,
            0.06272947959025083,
            0.193061486630486,
            -0.49054539384894913,
            0.042152635957360234,
            0.19831256031888117,
            -0.4907185628130486,
            0.021176113939503124,
            0.20147726574457595,
            -0.49077695199478694,
            5.737335014260306e-17,
            0.20253448499460952,
            -0.4907185628130486,
            -0.021176113939503097,
            0.20147726574457597,
            -0.49054539384894913,
            -0.04215263595736025,
            0.19831256031888117,
            -0.49026343236373243,
            -0.06272947959025081,
            0.19306148663048603,
            -0.48988262099060453,
            -0.08270572497920786,
            0.1857600997157094,
            -0.4894167762935465,
            -0.10187959634848097,
            0.17646063713017782,
            -0.48888342154757414,
            -0.12004892340192601,
            0.16523316774243976,
            -0.4883034844657362,
            -0.13701225702053096,
            0.15216752733199573,
            -0.48770080441368513,
            -0.152570799000665,
            0.13737536446195167,
            -0.48710139678657105,
            -0.16653126973282675,
            0.12099204970363063,
            -0.4865324390407917,
            -0.1787097647967715,
            0.1031781308122307,
            -0.4860209766598351,
            -0.1889365339718534,
            0.08411996462703983,
            -0.4855923978325474,
            -0.19706145760992924,
            0.06402914894583199,
            -0.48526878642113846,
            -0.20295981651905196,
            0.04314044075646824,
            -0.48506732015581766,
            -0.20653779269129394,
            0.02170799675427923,
            -0.48499891604751166,
            -0.20773705192963446,
            1.1769423481900622e-16,
            -0.48506732015581766,
            -0.20653779269129394,
            -0.02170799675427918,
            -0.48526878642113846,
            -0.20295981651905196,
            -0.04314044075646819,
            -0.4855923978325474,
            -0.19706145760992927,
            -0.06402914894583193,
            -0.4860209766598351,
            -0.1889365339718534,
            -0.08411996462703987,
            -0.4865324390407917,
            -0.17870976479677153,
            -0.10317813081223068,
            -0.48710139678657105,
            -0.16653126973282678,
            -0.12099204970363057,
            -0.48770080441368513,
            -0.15257079900066503,
            -0.13737536446195162,
            -0.4883034844657362,
            -0.13701225702053108,
            -0.15216752733199565,
            -0.48888342154757414,
            -0.12004892340192606,
            -0.16523316774243973,
            -0.4894167762935465,
            -0.10187959634848111,
            -0.17646063713017776,
            -0.48988262099060453,
            -0.08270572497920803,
            -0.18576009971570934,
            -0.49026343236373243,
            -0.06272947959025085,
            -0.193061486630486,
            -0.49054539384894913,
            -0.042152635957360345,
            -0.19831256031888117,
            -0.4907185628130486,
            -0.021176113939503284,
            -0.20147726574457595,
            -0.49077695199478694,
            -3.7204981314840924e-17,
            -0.20253448499460952,
            -0.4907185628130486,
            0.02117611393950303,
            -0.20147726574457597,
            -0.49054539384894913,
            0.04215263595736027,
            -0.19831256031888117,
            -0.49026343236373243,
            0.06272947959025078,
            -0.19306148663048603,
            -0.48988262099060453,
            0.08270572497920779,
            -0.18576009971570942,
            -0.4894167762935465,
            0.10187959634848104,
            -0.17646063713017776,
            -0.48888342154757414,
            0.120048923401926,
            -0.16523316774243982,
            -0.4883034844657362,
            0.13701225702053108,
            -0.15216752733199565,
            -0.48770080441368513,
            0.15257079900066503,
            -0.13737536446195162,
            -0.48710139678657105,
            0.16653126973282675,
            -0.12099204970363064,
            -0.4865324390407917,
            0.17870976479677153,
            -0.10317813081223065,
            -0.4860209766598351,
            0.1889365339718534,
            -0.08411996462703984,
            -0.4855923978325474,
            0.19706145760992924,
            -0.064029148945832,
            -0.48526878642113846,
            0.20295981651905196,
            -0.04314044075646817,
            -0.48506732015581766,
            0.2065377926912939,
            -0.021707996754279254,
            -0.48499891604751166,
            0.20773705192963446,
            -2.3538846963801243e-16,
            -0.5115267119017214,
            0.2267732748488434,
            0,
            -0.5115945825294115,
            0.22545602208143853,
            0.02369638278691106,
            -0.5117944064512597,
            0.22152692661282244,
            0.047087001838148845,
            -0.5121151588420234,
            0.21505265058518264,
            0.06987484190221889,
            -0.5125395360255883,
            0.20614008884258758,
            0.0917794807447701,
            -0.5130453725003057,
            0.1949307408293161,
            0.1125433156911388,
            -0.5136073012437267,
            0.18159401454717344,
            0.1319357743997457,
            -0.5141984398059843,
            0.16632028597254633,
            0.14975545813845403,
            -0.5147919269849,
            0.14931441121245576,
            0.16583045373690572,
            -0.5153622001986782,
            0.13079017345368554,
            0.18001723011694162,
            -0.5158859704942216,
            0.11096591385031804,
            0.19219860069706177,
            -0.5163429056138075,
            0.09006139674849575,
            0.20228120900629895,
            -0.5167160655790549,
            0.06829581926201558,
            0.21019291860060188,
            -0.5169921505947142,
            0.04588679424229509,
            0.21588039381974417,
            -0.5171616220821321,
            0.023050101716672287,
            0.21930706843932185,
            -0.5172187494536331,
            6.244886330842751e-17,
            0.22045162670881263,
            -0.5171616220821321,
            -0.023050101716672263,
            0.21930706843932185,
            -0.5169921505947142,
            -0.045886794242295116,
            0.21588039381974417,
            -0.5167160655790549,
            -0.06829581926201556,
            0.2101929186006019,
            -0.5163429056138075,
            -0.09006139674849568,
            0.20228120900629898,
            -0.5158859704942216,
            -0.11096591385031798,
            0.19219860069706182,
            -0.5153622001986782,
            -0.13079017345368554,
            0.18001723011694162,
            -0.5147919269849,
            -0.14931441121245567,
            0.16583045373690575,
            -0.5141984398059843,
            -0.1663202859725463,
            0.1497554581384541,
            -0.5136073012437267,
            -0.18159401454717342,
            0.13193577439974571,
            -0.5130453725003057,
            -0.1949307408293161,
            0.1125433156911388,
            -0.5125395360255883,
            -0.20614008884258764,
            0.09177948074477008,
            -0.5121151588420234,
            -0.21505265058518264,
            0.0698748419022189,
            -0.5117944064512597,
            -0.22152692661282244,
            0.047087001838148845,
            -0.5115945825294115,
            -0.22545602208143853,
            0.02369638278691102,
            -0.5115267119017214,
            -0.2267732748488434,
            1.2847928096031386e-16,
            -0.5115945825294115,
            -0.22545602208143853,
            -0.02369638278691097,
            -0.5117944064512597,
            -0.22152692661282244,
            -0.04708700183814879,
            -0.5121151588420234,
            -0.21505265058518266,
            -0.06987484190221886,
            -0.5125395360255883,
            -0.20614008884258758,
            -0.09177948074477013,
            -0.5130453725003057,
            -0.19493074082931613,
            -0.11254331569113875,
            -0.5136073012437267,
            -0.18159401454717344,
            -0.13193577439974566,
            -0.5141984398059843,
            -0.16632028597254633,
            -0.14975545813845403,
            -0.5147919269849,
            -0.1493144112124558,
            -0.16583045373690564,
            -0.5153622001986782,
            -0.13079017345368557,
            -0.1800172301169416,
            -0.5158859704942216,
            -0.11096591385031812,
            -0.19219860069706177,
            -0.5163429056138075,
            -0.09006139674849586,
            -0.2022812090062989,
            -0.5167160655790549,
            -0.06829581926201561,
            -0.21019291860060188,
            -0.5169921505947142,
            -0.04588679424229521,
            -0.21588039381974414,
            -0.5171616220821321,
            -0.02305010171667246,
            -0.21930706843932185,
            -0.5172187494536331,
            -4.049630685236618e-17,
            -0.22045162670881263,
            -0.5171616220821321,
            0.023050101716672187,
            -0.21930706843932185,
            -0.5169921505947142,
            0.04588679424229513,
            -0.21588039381974414,
            -0.5167160655790549,
            0.06829581926201553,
            -0.2101929186006019,
            -0.5163429056138075,
            0.09006139674849561,
            -0.20228120900629898,
            -0.5158859704942216,
            0.11096591385031804,
            -0.19219860069706177,
            -0.5153622001986782,
            0.1307901734536855,
            -0.18001723011694165,
            -0.5147919269849,
            0.1493144112124558,
            -0.16583045373690564,
            -0.5141984398059843,
            0.16632028597254633,
            -0.14975545813845398,
            -0.5136073012437267,
            0.18159401454717342,
            -0.13193577439974574,
            -0.5130453725003057,
            0.19493074082931613,
            -0.11254331569113875,
            -0.5125395360255883,
            0.20614008884258764,
            -0.0917794807447701,
            -0.5121151588420234,
            0.21505265058518264,
            -0.06987484190221893,
            -0.5117944064512597,
            0.22152692661282244,
            -0.04708700183814877,
            -0.5115945825294115,
            0.22545602208143853,
            -0.02369638278691105,
            -0.5115267119017214,
            0.2267732748488434,
            -2.569585619206277e-16,
            -0.5387864982214003,
            0.24352020793417312,
            0,
            -0.5388513563990897,
            0.24209739816033982,
            0.025445461893452506,
            -0.5390422436012364,
            0.23785439592098573,
            0.05055751257506485,
            -0.5393484416715573,
            0.2308658870792131,
            0.07501287390031836,
            -0.539753170237757,
            0.22125129853943218,
            0.09850742477151782,
            -0.5402350108544506,
            0.20916808584282598,
            0.1207632506672343,
            -0.5407695606580933,
            0.19480381421755935,
            0.14153325564671224,
            -0.5413310913308724,
            0.17836804255909425,
            0.16060330689369773,
            -0.5418940373653888,
            0.16008484526632766,
            0.17779223258727836,
            -0.5424342083863077,
            0.14018652734493917,
            0.19295020173121202,
            -0.5429296902354779,
            0.11890879667647818,
            0.20595607731053736,
            -0.5433614534679417,
            0.09648741774957355,
            0.21671428848460045,
            -0.5437137204597373,
            0.07315620993539468,
            0.22515166296030087,
            -0.543974155355963,
            0.04914616764704759,
            0.2312145400777761,
            -0.5441339398709621,
            0.02468545086710021,
            0.2348663762663963,
            -0.5441877881463422,
            6.68777123492305e-17,
            0.23608597013426008,
            -0.5441339398709621,
            -0.024685450867100174,
            0.23486637626639634,
            -0.543974155355963,
            -0.049146167647047614,
            0.2312145400777761,
            -0.5437137204597373,
            -0.07315620993539465,
            0.22515166296030087,
            -0.5433614534679417,
            -0.09648741774957348,
            0.21671428848460048,
            -0.5429296902354779,
            -0.11890879667647809,
            0.20595607731053742,
            -0.5424342083863077,
            -0.1401865273449391,
            0.19295020173121202,
            -0.5418940373653888,
            -0.16008484526632755,
            0.17779223258727841,
            -0.5413310913308724,
            -0.17836804255909422,
            0.16060330689369776,
            -0.5407695606580933,
            -0.19480381421755932,
            0.14153325564671226,
            -0.5402350108544506,
            -0.20916808584282598,
            0.1207632506672343,
            -0.539753170237757,
            -0.2212512985394322,
            0.0985074247715178,
            -0.5393484416715573,
            -0.2308658870792131,
            0.07501287390031838,
            -0.5390422436012364,
            -0.23785439592098573,
            0.05055751257506485,
            -0.5388513563990897,
            -0.24209739816033984,
            0.02544546189345246,
            -0.5387864982214003,
            -0.24352020793417312,
            1.379673210414382e-16,
            -0.5388513563990897,
            -0.24209739816033984,
            -0.025445461893452405,
            -0.5390422436012364,
            -0.23785439592098573,
            -0.05055751257506479,
            -0.5393484416715573,
            -0.2308658870792131,
            -0.07501287390031834,
            -0.539753170237757,
            -0.22125129853943218,
            -0.09850742477151783,
            -0.5402350108544506,
            -0.209168085842826,
            -0.12076325066723426,
            -0.5407695606580933,
            -0.19480381421755935,
            -0.1415332556467122,
            -0.5413310913308724,
            -0.17836804255909425,
            -0.16060330689369773,
            -0.5418940373653888,
            -0.16008484526632769,
            -0.1777922325872783,
            -0.5424342083863077,
            -0.14018652734493917,
            -0.192950201731212,
            -0.5429296902354779,
            -0.11890879667647823,
            -0.20595607731053733,
            -0.5433614534679417,
            -0.09648741774957367,
            -0.21671428848460036,
            -0.5437137204597373,
            -0.07315620993539469,
            -0.22515166296030087,
            -0.543974155355963,
            -0.04914616764704772,
            -0.23121454007777606,
            -0.5441339398709621,
            -0.02468545086710039,
            -0.2348663762663963,
            -0.5441877881463422,
            -4.336828914727788e-17,
            -0.23608597013426008,
            -0.5441339398709621,
            0.024685450867100094,
            -0.23486637626639634,
            -0.543974155355963,
            0.049146167647047635,
            -0.23121454007777606,
            -0.5437137204597373,
            0.07315620993539462,
            -0.22515166296030087,
            -0.5433614534679417,
            0.0964874177495734,
            -0.21671428848460048,
            -0.5429296902354779,
            0.11890879667647818,
            -0.20595607731053736,
            -0.5424342083863077,
            0.1401865273449391,
            -0.19295020173121205,
            -0.5418940373653888,
            0.16008484526632769,
            -0.1777922325872783,
            -0.5413310913308724,
            0.17836804255909425,
            -0.16060330689369767,
            -0.5407695606580933,
            0.19480381421755932,
            -0.1415332556467123,
            -0.5402350108544506,
            0.209168085842826,
            -0.12076325066723424,
            -0.539753170237757,
            0.2212512985394322,
            -0.09850742477151782,
            -0.5393484416715573,
            0.2308658870792131,
            -0.07501287390031842,
            -0.5390422436012364,
            0.23785439592098573,
            -0.05055751257506477,
            -0.5388513563990897,
            0.24209739816033982,
            -0.02544546189345249,
            -0.5387864982214003,
            0.24352020793417312,
            -2.759346420828764e-16,
            -0.5667768875657522,
            0.2579671407403748,
            0,
            -0.5668362532432103,
            0.2564517086649237,
            0.02695416072180286,
            -0.5670109150972482,
            0.25193345002548523,
            0.05355010790708348,
            -0.5672909003789046,
            0.24449460808589005,
            0.07944111378985087,
            -0.5676606335466673,
            0.23426635206210042,
            0.10430209994063563,
            -0.568100302759781,
            0.22142097443175696,
            0.1278374591924041,
            -0.5685874328653371,
            0.20616275878899396,
            0.1497860119511151,
            -0.5690984449812941,
            0.18871871927361036,
            0.1699230980686675,
            -0.5696100344072732,
            0.16933018218886262,
            0.1880602194772581,
            -0.5701002710777788,
            0.1482458308204716,
            0.2040428813265254,
            -0.570549396127098,
            0.12571648212006764,
            0.2177473343807814,
            -0.5709403396822872,
            0.10199158458268924,
            0.22907684960148225,
            -0.5712590144331395,
            0.07731724766591576,
            0.23795802028109067,
            -0.5714944497116161,
            0.051935526062648514,
            0.24433743966593938,
            -0.5716388276308582,
            0.02608466130825959,
            0.24817897435174027,
            -0.5716874721112529,
            7.066676490145292e-17,
            0.2494617588127049,
            -0.5716388276308582,
            -0.026084661308259562,
            0.2481789743517403,
            -0.5714944497116161,
            -0.05193552606264855,
            0.24433743966593938,
            -0.5712590144331395,
            -0.07731724766591572,
            0.2379580202810907,
            -0.5709403396822872,
            -0.10199158458268917,
            0.22907684960148225,
            -0.570549396127098,
            -0.12571648212006756,
            0.21774733438078142,
            -0.5701002710777788,
            -0.14824583082047157,
            0.2040428813265254,
            -0.5696100344072732,
            -0.16933018218886256,
            0.18806021947725818,
            -0.5690984449812941,
            -0.18871871927361036,
            0.16992309806866757,
            -0.5685874328653371,
            -0.20616275878899393,
            0.14978601195111513,
            -0.568100302759781,
            -0.22142097443175696,
            0.1278374591924041,
            -0.5676606335466673,
            -0.23426635206210042,
            0.1043020999406356,
            -0.5672909003789046,
            -0.24449460808589005,
            0.07944111378985089,
            -0.5670109150972482,
            -0.25193345002548523,
            0.05355010790708348,
            -0.5668362532432103,
            -0.2564517086649238,
            0.026954160721802817,
            -0.5667768875657522,
            -0.2579671407403748,
            1.4615228701796245e-16,
            -0.5668362532432103,
            -0.2564517086649238,
            -0.026954160721802754,
            -0.5670109150972482,
            -0.25193345002548523,
            -0.05355010790708341,
            -0.5672909003789046,
            -0.24449460808589007,
            -0.07944111378985085,
            -0.5676606335466673,
            -0.23426635206210042,
            -0.10430209994063565,
            -0.568100302759781,
            -0.221420974431757,
            -0.12783745919240405,
            -0.5685874328653371,
            -0.20616275878899396,
            -0.14978601195111507,
            -0.5690984449812941,
            -0.18871871927361036,
            -0.1699230980686675,
            -0.5696100344072732,
            -0.16933018218886267,
            -0.18806021947725807,
            -0.5701002710777788,
            -0.14824583082047163,
            -0.20404288132652537,
            -0.570549396127098,
            -0.12571648212006772,
            -0.21774733438078137,
            -0.5709403396822872,
            -0.10199158458268939,
            -0.22907684960148217,
            -0.5712590144331395,
            -0.07731724766591577,
            -0.23795802028109067,
            -0.5714944497116161,
            -0.05193552606264866,
            -0.24433743966593935,
            -0.5716388276308582,
            -0.026084661308259784,
            -0.24817897435174027,
            -0.5716874721112529,
            -4.5825381665947216e-17,
            -0.2494617588127049,
            -0.5716388276308582,
            0.026084661308259472,
            -0.2481789743517403,
            -0.5714944497116161,
            0.05193552606264856,
            -0.24433743966593935,
            -0.5712590144331395,
            0.07731724766591569,
            -0.2379580202810907,
            -0.5709403396822872,
            0.1019915845826891,
            -0.22907684960148228,
            -0.570549396127098,
            0.12571648212006764,
            -0.2177473343807814,
            -0.5701002710777788,
            0.14824583082047155,
            -0.20404288132652543,
            -0.5696100344072732,
            0.16933018218886267,
            -0.18806021947725807,
            -0.5690984449812941,
            0.18871871927361036,
            -0.16992309806866746,
            -0.5685874328653371,
            0.20616275878899393,
            -0.14978601195111516,
            -0.568100302759781,
            0.221420974431757,
            -0.12783745919240405,
            -0.5676606335466673,
            0.23426635206210042,
            -0.10430209994063563,
            -0.5672909003789046,
            0.24449460808589005,
            -0.07944111378985093,
            -0.5670109150972482,
            0.25193345002548523,
            -0.053550107907083394,
            -0.5668362532432103,
            0.2564517086649237,
            -0.02695416072180285,
            -0.5667768875657522,
            0.2579671407403748,
            -2.923045740359249e-16,
            -0.5954672344988863,
            0.2700792989833306,
            0,
            -0.5955186865466251,
            0.26848484620057583,
            0.028218894440334284,
            -0.5956700159920644,
            0.26373191639541754,
            0.056057949351655686,
            -0.5959124463541543,
            0.255909656649011,
            0.08315008790146401,
            -0.596232301883724,
            0.2451599081557279,
            0.10915222359853621,
            -0.5966122441417447,
            0.23166834718417256,
            0.1337537826094977,
            -0.5970326838464561,
            0.21565419300011734,
            0.15668194255726126,
            -0.5974731652677162,
            0.19735987306753305,
            0.1777036278921151,
            -0.5979135718356176,
            0.17704174440718198,
            0.19662477698580755,
            -0.5983350709956002,
            0.15496254759394787,
            0.2132876488584636,
            -0.5987207807299096,
            0.13138585725142735,
            0.2275669801554639,
            -0.599056186344247,
            0.10657247677671804,
            0.23936570192656165,
            -0.5993293610290049,
            0.08077853202984205,
            0.24861075818542874,
            -0.599531050895099,
            0.0542549336846844,
            0.25524939460072316,
            -0.5996546806453508,
            0.02724786736708029,
            0.2592461407307202,
            -0.5996963253327666,
            7.38164778075538e-17,
            0.26058060545025413,
            -0.5996546806453508,
            -0.027247867367080254,
            0.2592461407307203,
            -0.599531050895099,
            -0.054254933684684425,
            0.25524939460072316,
            -0.5993293610290049,
            -0.08077853202984202,
            0.24861075818542877,
            -0.599056186344247,
            -0.10657247677671797,
            0.23936570192656167,
            -0.5987207807299096,
            -0.13138585725142723,
            0.2275669801554639,
            -0.5983350709956002,
            -0.15496254759394784,
            0.2132876488584636,
            -0.5979135718356176,
            -0.1770417444071819,
            0.19662477698580763,
            -0.5974731652677162,
            -0.19735987306753303,
            0.17770362789211513,
            -0.5970326838464555,
            -0.21565419300011837,
            0.15668194255726206,
            -0.5966122441417447,
            -0.23166834718417256,
            0.1337537826094977,
            -0.596232301883724,
            -0.24515990815572794,
            0.10915222359853617,
            -0.5959124463541543,
            -0.255909656649011,
            0.08315008790146403,
            -0.5956700159920644,
            -0.26373191639541754,
            0.056057949351655686,
            -0.5955186865466251,
            -0.2684848462005759,
            0.02821889444033424,
            -0.5954672344988863,
            -0.2700792989833306,
            1.5301447738395583e-16,
            -0.5955186865466251,
            -0.2684848462005759,
            -0.028218894440334173,
            -0.5956700159920644,
            -0.26373191639541754,
            -0.05605794935165562,
            -0.5959124463541543,
            -0.25590965664901105,
            -0.08315008790146398,
            -0.596232301883724,
            -0.2451599081557279,
            -0.10915222359853623,
            -0.5966122441417447,
            -0.2316683471841726,
            -0.1337537826094976,
            -0.5970326838464555,
            -0.2156541930001184,
            -0.156681942557262,
            -0.5974731652677162,
            -0.19735987306753305,
            -0.1777036278921151,
            -0.5979135718356176,
            -0.177041744407182,
            -0.1966247769858075,
            -0.5983350709956002,
            -0.1549625475939479,
            -0.21328764885846357,
            -0.5987207807299096,
            -0.1313858572514274,
            -0.22756698015546387,
            -0.599056186344247,
            -0.10657247677671819,
            -0.2393657019265616,
            -0.5993293610290049,
            -0.08077853202984206,
            -0.24861075818542874,
            -0.599531050895099,
            -0.05425493368468454,
            -0.25524939460072316,
            -0.5996546806453508,
            -0.02724786736708049,
            -0.2592461407307202,
            -0.5996963253327666,
            -4.786788065767995e-17,
            -0.26058060545025413,
            -0.5996546806453508,
            0.027247867367080163,
            -0.2592461407307203,
            -0.599531050895099,
            0.05425493368468445,
            -0.25524939460072316,
            -0.5993293610290049,
            0.08077853202984199,
            -0.24861075818542877,
            -0.599056186344247,
            0.10657247677671787,
            -0.2393657019265617,
            -0.5987207807299096,
            0.13138585725142735,
            -0.2275669801554639,
            -0.5983350709956002,
            0.1549625475939478,
            -0.21328764885846363,
            -0.5979135718356176,
            0.177041744407182,
            -0.1966247769858075,
            -0.5974731652677162,
            0.19735987306753305,
            -0.17770362789211508,
            -0.5970326838464555,
            0.21565419300011837,
            -0.1566819425572621,
            -0.5966122441417447,
            0.2316683471841726,
            -0.1337537826094976,
            -0.596232301883724,
            0.24515990815572794,
            -0.10915222359853621,
            -0.5959124463541543,
            0.255909656649011,
            -0.08315008790146407,
            -0.5956700159920644,
            0.26373191639541754,
            -0.056057949351655596,
            -0.5955186865466251,
            0.26848484620057583,
            -0.02821889444033427,
            -0.5954672344988863,
            0.2700792989833306,
            -3.0602895476791165e-16,
            -0.6248004173368698,
            0.27980411600609056,
            0,
            -0.624841675295929,
            0.2781450364447743,
            0.02923422134847171,
            -0.6249629856991838,
            0.2732003242721717,
            0.058070521574427894,
            -0.6251572130095251,
            0.26506516868937713,
            0.08612489409247648,
            -0.6254132618662582,
            0.2538907031899625,
            0.11303942399332674,
            -0.6257171074903193,
            0.23987417049350665,
            0.13849141690606423,
            -0.6260529633751367,
            0.223247572712569,
            0.16219885584965052,
            -0.6264044147313736,
            0.20426637490584673,
            0.1839222700792832,
            -0.6267553925760524,
            0.18319947604509199,
            0.2034636308058301,
            -0.6270909239298146,
            0.16032116756674733,
            0.22066315650770052,
            -0.6273976482819141,
            0.13590533054214282,
            0.2353949375184336,
            -0.6276641284158497,
            0.11022177423245723,
            0.247562158211067,
            -0.6278810030206147,
            0.08353441585341008,
            0.25709249645959165,
            -0.6280410329445354,
            0.05610092104045706,
            0.26393408229640775,
            -0.6281390879538475,
            0.02817342545986401,
            0.26805223774901976,
            -0.6281721112481919,
            7.632248835214033e-17,
            0.26942710916282026,
            -0.6281390879538475,
            -0.028173425459863975,
            0.2680522377490198,
            -0.6280410329445354,
            -0.05610092104045709,
            0.26393408229640775,
            -0.6278810030206147,
            -0.08353441585341005,
            0.2570924964595917,
            -0.6276641284158497,
            -0.11022177423245716,
            0.24756215821106703,
            -0.6273976482819141,
            -0.1359053305421427,
            0.23539493751843363,
            -0.6270909239298146,
            -0.1603211675667473,
            0.22066315650770052,
            -0.6267553925760524,
            -0.18319947604509193,
            0.20346363080583016,
            -0.6264044147313736,
            -0.20426637490584668,
            0.18392227007928325,
            -0.6260529633751367,
            -0.22324757271256898,
            0.16219885584965055,
            -0.6257171074903193,
            -0.23987417049350665,
            0.13849141690606423,
            -0.6254132618662582,
            -0.2538907031899625,
            0.1130394239933267,
            -0.6251572130095251,
            -0.26506516868937713,
            0.0861248940924765,
            -0.6249629856991838,
            -0.2732003242721717,
            0.058070521574427894,
            -0.624841675295929,
            -0.27814503644477434,
            0.02923422134847166,
            -0.6248004173368698,
            -0.27980411600609056,
            1.5852411029545134e-16,
            -0.624841675295929,
            -0.27814503644477434,
            -0.029234221348471597,
            -0.6249629856991838,
            -0.2732003242721717,
            -0.058070521574427825,
            -0.6251572130095251,
            -0.26506516868937713,
            -0.08612489409247645,
            -0.6254132618662582,
            -0.2538907031899625,
            -0.11303942399332675,
            -0.6257171074903193,
            -0.23987417049350668,
            -0.13849141690606415,
            -0.6260529633751367,
            -0.223247572712569,
            -0.1621988558496505,
            -0.6264044147313736,
            -0.20426637490584673,
            -0.1839222700792832,
            -0.6267553925760524,
            -0.18319947604509207,
            -0.20346363080583008,
            -0.6270909239298146,
            -0.16032116756674736,
            -0.2206631565077005,
            -0.6273976482819141,
            -0.1359053305421429,
            -0.23539493751843357,
            -0.6276641284158497,
            -0.11022177423245738,
            -0.2475621582110669,
            -0.6278810030206147,
            -0.08353441585341011,
            -0.25709249645959165,
            -0.6280410329445354,
            -0.056100921040457205,
            -0.26393408229640775,
            -0.6281390879538475,
            -0.028173425459864218,
            -0.26805223774901976,
            -0.6281721112481919,
            -4.949295702596585e-17,
            -0.26942710916282026,
            -0.6281390879538475,
            0.028173425459863885,
            -0.2680522377490198,
            -0.6280410329445354,
            0.056100921040457115,
            -0.26393408229640775,
            -0.6278810030206147,
            0.08353441585341002,
            -0.2570924964595917,
            -0.6276641284158497,
            0.11022177423245706,
            -0.24756215821106703,
            -0.6273976482819141,
            0.13590533054214282,
            -0.2353949375184336,
            -0.6270909239298146,
            0.16032116756674727,
            -0.22066315650770055,
            -0.6267553925760524,
            0.18319947604509207,
            -0.20346363080583008,
            -0.6264044147313736,
            0.20426637490584673,
            -0.18392227007928316,
            -0.6260529633751367,
            0.22324757271256898,
            -0.16219885584965058,
            -0.6257171074903193,
            0.23987417049350668,
            -0.13849141690606415,
            -0.6254132618662582,
            0.2538907031899625,
            -0.11303942399332674,
            -0.6251572130095251,
            0.26506516868937713,
            -0.08612489409247655,
            -0.6249629856991838,
            0.2732003242721717,
            -0.058070521574427804,
            -0.624841675295929,
            0.2781450364447743,
            -0.029234221348471697,
            -0.6248004173368698,
            0.27980411600609056,
            -3.170482205909027e-16,
            -0.6546943564522739,
            0.28707619648430593,
            0,
            -0.6547233812848567,
            0.2853677599826154,
            0.029993360182451894,
            -0.6548087001611682,
            0.28027670334898663,
            0.059574652380069364,
            -0.6549452327370892,
            0.2719031742373129,
            0.08834669677795069,
            -0.6551250940118887,
            0.26040589115235,
            0.11594017256435857,
            -0.6553383434368313,
            0.24599146400791985,
            0.14202323796332264,
            -0.6555738282779797,
            0.22890214130856773,
            0.16630714041216718,
            -0.6558199949948393,
            0.20940370823693433,
            0.18854794578750053,
            -0.6560655784668592,
            0.18777484607110845,
            0.20854509401669838,
            -0.6563001246442968,
            0.16429870421259438,
            0.22613776603505595,
            -0.6565143425178207,
            0.13925691762075162,
            0.24120005662457542,
            -0.6567003084267098,
            0.11292592817606441,
            0.2536357874107068,
            -0.656851558815025,
            0.08557525961189032,
            0.26337356769701314,
            -0.6569631097699324,
            0.057467321790258735,
            0.27036249240553867,
            -0.6570314373051869,
            0.028858332653566222,
            0.2745686944072214,
            -0.6570544449750184,
            7.817674665675256e-17,
            0.27597285295916774,
            -0.6570314373051869,
            -0.02885833265356619,
            0.2745686944072215,
            -0.6569631097699324,
            -0.05746732179025876,
            0.27036249240553867,
            -0.656851558815025,
            -0.08557525961189028,
            0.26337356769701314,
            -0.6567003084267098,
            -0.11292592817606432,
            0.2536357874107068,
            -0.6565143425178207,
            -0.13925691762075154,
            0.24120005662457544,
            -0.6563001246442968,
            -0.16429870421259435,
            0.22613776603505595,
            -0.6560655784668592,
            -0.18777484607110836,
            0.20854509401669843,
            -0.6558199949948393,
            -0.20940370823693427,
            0.18854794578750061,
            -0.6555738282779797,
            -0.2289021413085677,
            0.1663071404121672,
            -0.6553383434368313,
            -0.24599146400791985,
            0.14202323796332264,
            -0.6551250940118887,
            -0.2604058911523501,
            0.11594017256435854,
            -0.6549452327370892,
            -0.2719031742373129,
            0.08834669677795072,
            -0.6548087001611682,
            -0.28027670334898663,
            0.059574652380069364,
            -0.6547233812848567,
            -0.2853677599826154,
            0.02999336018245185,
            -0.6546943564522739,
            -0.28707619648430593,
            1.6264413577706695e-16,
            -0.6547233812848567,
            -0.2853677599826154,
            -0.02999336018245178,
            -0.6548087001611682,
            -0.28027670334898663,
            -0.059574652380069294,
            -0.6549452327370892,
            -0.2719031742373129,
            -0.08834669677795066,
            -0.6551250940118887,
            -0.26040589115235,
            -0.11594017256435858,
            -0.6553383434368313,
            -0.24599146400791988,
            -0.14202323796332256,
            -0.6555738282779797,
            -0.22890214130856773,
            -0.16630714041216713,
            -0.6558199949948393,
            -0.20940370823693433,
            -0.18854794578750053,
            -0.6560655784668592,
            -0.18777484607110853,
            -0.20854509401669832,
            -0.6563001246442968,
            -0.16429870421259443,
            -0.2261377660350559,
            -0.6565143425178207,
            -0.13925691762075174,
            -0.2412000566245754,
            -0.6567003084267098,
            -0.11292592817606455,
            -0.2536357874107067,
            -0.656851558815025,
            -0.08557525961189034,
            -0.26337356769701314,
            -0.6569631097699324,
            -0.05746732179025888,
            -0.2703624924055386,
            -0.6570314373051869,
            -0.028858332653566438,
            -0.2745686944072214,
            -0.6570544449750184,
            -5.0695390654201185e-17,
            -0.27597285295916774,
            -0.6570314373051869,
            0.028858332653566094,
            -0.2745686944072215,
            -0.6569631097699324,
            0.057467321790258784,
            -0.2703624924055386,
            -0.656851558815025,
            0.08557525961189025,
            -0.26337356769701314,
            -0.6567003084267098,
            0.11292592817606423,
            -0.25363578741070686,
            -0.6565143425178207,
            0.13925691762075162,
            -0.24120005662457542,
            -0.6563001246442968,
            0.16429870421259432,
            -0.22613776603505598,
            -0.6560655784668592,
            0.18777484607110853,
            -0.20854509401669832,
            -0.6558199949948393,
            0.20940370823693433,
            -0.1885479457875005,
            -0.6555738282779797,
            0.2289021413085677,
            -0.16630714041216724,
            -0.6553383434368313,
            0.24599146400791988,
            -0.14202323796332256,
            -0.6551250940118887,
            0.2604058911523501,
            -0.11594017256435857,
            -0.6549452327370892,
            0.2719031742373129,
            -0.08834669677795076,
            -0.6548087001611682,
            0.28027670334898663,
            -0.059574652380069266,
            -0.6547233812848567,
            0.2853677599826154,
            -0.02999336018245188,
            -0.6546943564522739,
            0.28707619648430593,
            -3.252882715541339e-16,
            -0.6850426141387762,
            0.29182146178961565,
            0,
            -0.6850577246109428,
            0.2900798543170254,
            0.030488621253969783,
            -0.6851021323468005,
            0.2848905593006041,
            0.060555357737185934,
            -0.6851731665564306,
            0.27635737338845784,
            0.08979395381310157,
            -0.6852666883632259,
            0.2646445615239166,
            0.11782735020134738,
            -0.6853774912623243,
            0.24996551850051874,
            0.14431765939439883,
            -0.685499749527045,
            0.23256982167127896,
            0.168971866174807,
            -0.6856274464521092,
            0.21273052276284624,
            0.19154342304126043,
            -0.6857547346377663,
            0.1907330615878356,
            0.2118305251911374,
            -0.6858762057016542,
            0.16686657149271922,
            0.22967213213358922,
            -0.6859870685592796,
            0.14141778911127284,
            0.24494279583478523,
            -0.6860832496764544,
            0.11466738803075945,
            0.25754717028462976,
            -0.686161435249244,
            0.08688834472593074,
            0.2674148281354053,
            -0.6862190760173675,
            0.058345878295099046,
            0.2744957757910886,
            -0.6862543727677999,
            0.029298528460923318,
            0.2787568777496376,
            -0.6862662564865325,
            7.936833117484943e-17,
            0.28017928253144214,
            -0.6862543727677999,
            -0.029298528460923283,
            0.27875687774963764,
            -0.6862190760173675,
            -0.05834587829509908,
            0.2744957757910886,
            -0.686161435249244,
            -0.08688834472593071,
            0.2674148281354053,
            -0.6860832496764544,
            -0.11466738803075936,
            0.25754717028462976,
            -0.6859870685592796,
            -0.14141778911127273,
            0.24494279583478526,
            -0.6858762057016542,
            -0.1668665714927192,
            0.22967213213358922,
            -0.6857547346377663,
            -0.19073306158783548,
            0.21183052519113746,
            -0.6856274464521092,
            -0.2127305227628462,
            0.1915434230412605,
            -0.685499749527045,
            -0.23256982167127893,
            0.16897186617480703,
            -0.6853774912623243,
            -0.24996551850051874,
            0.14431765939439883,
            -0.6852666883632259,
            -0.26464456152391663,
            0.11782735020134734,
            -0.6851731665564306,
            -0.27635737338845784,
            0.08979395381310161,
            -0.6851021323468005,
            -0.2848905593006041,
            0.060555357737185934,
            -0.6850577246109428,
            -0.29007985431702543,
            0.030488621253969735,
            -0.6850426141387762,
            -0.29182146178961565,
            1.6533258429375612e-16,
            -0.6850577246109428,
            -0.29007985431702543,
            -0.030488621253969672,
            -0.6851021323468005,
            -0.2848905593006041,
            -0.060555357737185865,
            -0.6851731665564306,
            -0.27635737338845784,
            -0.08979395381310154,
            -0.6852666883632259,
            -0.2646445615239166,
            -0.1178273502013474,
            -0.6853774912623243,
            -0.24996551850051876,
            -0.14431765939439878,
            -0.685499749527045,
            -0.23256982167127896,
            -0.16897186617480697,
            -0.6856274464521092,
            -0.21273052276284624,
            -0.19154342304126043,
            -0.6857547346377663,
            -0.19073306158783565,
            -0.21183052519113735,
            -0.6858762057016542,
            -0.16686657149271925,
            -0.2296721321335892,
            -0.6859870685592796,
            -0.14141778911127292,
            -0.2449427958347852,
            -0.6860832496764544,
            -0.1146673880307596,
            -0.25754717028462965,
            -0.686161435249244,
            -0.08688834472593077,
            -0.2674148281354053,
            -0.6862190760173675,
            -0.058345878295099206,
            -0.2744957757910885,
            -0.6862543727677999,
            -0.02929852846092354,
            -0.2787568777496376,
            -0.6862662564865325,
            -5.146809923092988e-17,
            -0.28017928253144214,
            -0.6862543727677999,
            0.02929852846092319,
            -0.27875687774963764,
            -0.6862190760173675,
            0.0583458782950991,
            -0.2744957757910885,
            -0.686161435249244,
            0.08688834472593067,
            -0.2674148281354053,
            -0.6860832496764544,
            0.11466738803075927,
            -0.2575471702846298,
            -0.6859870685592796,
            0.14141778911127284,
            -0.24494279583478523,
            -0.6858762057016542,
            0.16686657149271913,
            -0.22967213213358928,
            -0.6857547346377663,
            0.19073306158783565,
            -0.21183052519113735,
            -0.6856274464521092,
            0.21273052276284624,
            -0.1915434230412604,
            -0.685499749527045,
            0.23256982167127893,
            -0.16897186617480706,
            -0.6853774912623243,
            0.24996551850051876,
            -0.14431765939439875,
            -0.6852666883632259,
            0.26464456152391663,
            -0.11782735020134738,
            -0.6851731665564306,
            0.27635737338845784,
            -0.08979395381310164,
            -0.6851021323468005,
            0.2848905593006041,
            -0.06055535773718584,
            -0.6850577246109428,
            0.2900798543170254,
            -0.030488621253969773,
            -0.6850426141387762,
            0.29182146178961565,
            -3.3066516858751224e-16,
            -0.7157142857142855,
            0.2939608381247068,
            0,
            -0.7157142857142855,
            0.2922031549492182,
            0.030711789143155543,
            -0.7157142857142855,
            0.2869663785082332,
            0.06099658673060818,
            -0.7157142857142855,
            0.27835642871486144,
            0.0904434862625094,
            -0.7157142857142855,
            0.26654076242859615,
            0.11867159323721871,
            -0.7157142857142855,
            0.2517366137957166,
            0.1453402017398418,
            -0.7157142857142855,
            0.23419761245998186,
            0.17015452540949502,
            -0.7157142857142855,
            0.21420070833812452,
            0.19286718407910938,
            -0.7157142857142855,
            0.19203482945263406,
            0.21327628487318506,
            -0.7157142857142855,
            0.1679920493414823,
            0.23122121949651753,
            -0.7157142857142855,
            0.1423614582248492,
            0.24657727868503296,
            -0.7157142857142855,
            0.11542552862359466,
            0.2592499819359272,
            -0.7157142857142855,
            0.08745855539894008,
            0.2691697561364477,
            -0.7157142857142855,
            0.058726689679934815,
            0.27628735249821906,
            -0.7157142857142855,
            0.029489116923634325,
            0.2805702058446401,
            -0.7157142857142855,
            7.988404769306318e-17,
            0.2819998207980768,
            -0.7157142857142855,
            -0.02948911692363429,
            0.28057020584464015,
            -0.7157142857142855,
            -0.05872668967993484,
            0.27628735249821906,
            -0.7157142857142855,
            -0.08745855539894005,
            0.2691697561364478,
            -0.7157142857142855,
            -0.11542552862359459,
            0.25924998193592724,
            -0.7157142857142855,
            -0.1423614582248491,
            0.24657727868503299,
            -0.7157142857142855,
            -0.16799204934148224,
            0.23122121949651753,
            -0.7157142857142855,
            -0.19203482945263395,
            0.21327628487318512,
            -0.7157142857142855,
            -0.2142007083381245,
            0.19286718407910944,
            -0.7157142857142855,
            -0.2341976124599818,
            0.17015452540949505,
            -0.7157142857142855,
            -0.2517366137957166,
            0.1453402017398418,
            -0.7157142857142855,
            -0.26654076242859615,
            0.11867159323721868,
            -0.7157142857142855,
            -0.27835642871486144,
            0.09044348626250945,
            -0.7157142857142855,
            -0.2869663785082332,
            0.06099658673060818,
            -0.7157142857142855,
            -0.2922031549492182,
            0.030711789143155494,
            -0.7157142857142855,
            -0.2939608381247068,
            1.6654465627807276e-16,
            -0.7157142857142855,
            -0.2922031549492182,
            -0.030711789143155425,
            -0.7157142857142855,
            -0.2869663785082332,
            -0.06099658673060811,
            -0.7157142857142855,
            -0.27835642871486144,
            -0.09044348626250938,
            -0.7157142857142855,
            -0.26654076242859615,
            -0.11867159323721874,
            -0.7157142857142855,
            -0.25173661379571666,
            -0.14534020173984175,
            -0.7157142857142855,
            -0.23419761245998186,
            -0.170154525409495,
            -0.7157142857142855,
            -0.21420070833812452,
            -0.19286718407910938,
            -0.7157142857142855,
            -0.19203482945263411,
            -0.21327628487318498,
            -0.7157142857142855,
            -0.16799204934148232,
            -0.2312212194965175,
            -0.7157142857142855,
            -0.1423614582248493,
            -0.24657727868503293,
            -0.7157142857142855,
            -0.11542552862359483,
            -0.2592499819359271,
            -0.7157142857142855,
            -0.08745855539894011,
            -0.2691697561364477,
            -0.7157142857142855,
            -0.05872668967993497,
            -0.27628735249821906,
            -0.7157142857142855,
            -0.029489116923634543,
            -0.2805702058446401,
            -0.7157142857142855,
            -5.1802526685073787e-17,
            -0.2819998207980768,
            -0.7157142857142855,
            0.02948911692363419,
            -0.28057020584464015,
            -0.7157142857142855,
            0.05872668967993487,
            -0.27628735249821906,
            -0.7157142857142855,
            0.08745855539894001,
            -0.2691697561364478,
            -0.7157142857142855,
            0.1154255286235945,
            -0.25924998193592724,
            -0.7157142857142855,
            0.1423614582248492,
            -0.24657727868503296,
            -0.7157142857142855,
            0.1679920493414822,
            -0.23122121949651755,
            -0.7157142857142855,
            0.19203482945263411,
            -0.21327628487318498,
            -0.7157142857142855,
            0.21420070833812452,
            -0.19286718407910936,
            -0.7157142857142855,
            0.2341976124599818,
            -0.17015452540949508,
            -0.7157142857142855,
            0.25173661379571666,
            -0.14534020173984175,
            -0.7157142857142855,
            0.26654076242859615,
            -0.11867159323721871,
            -0.7157142857142855,
            0.27835642871486144,
            -0.09044348626250948,
            -0.7157142857142855,
            0.2869663785082332,
            -0.06099658673060808,
            -0.7157142857142855,
            0.2922031549492182,
            -0.03071178914315553,
            -0.7157142857142855,
            0.2939608381247068,
            -3.3308931255614553e-16,
            -0.7465533167578166,
            0.293413780763238,
            0,
            -0.7465376268000249,
            0.29165796716645725,
            0.030654487598172263,
            -0.7464915276807826,
            0.28642694854908524,
            0.06088192735322988,
            -0.7464178236951844,
            0.2778270523184668,
            0.09027148144460001,
            -0.7463208528309384,
            0.26602629563665686,
            0.11844253786380869,
            -0.7462060582630553,
            0.2512424886295244,
            0.1450549184421274,
            -0.7460795116122649,
            0.23372972294982297,
            0.16981458378195696,
            -0.7459474615631569,
            0.213765203020073,
            0.1924750533294226,
            -0.7458159583787329,
            0.19163785770824435,
            0.21283540308583224,
            -0.745690577018583,
            0.16763950475022496,
            0.23073598349495109,
            -0.7455762381041803,
            0.1420587491760508,
            0.24605297123260328,
            -0.745477111075441,
            0.11517739171259599,
            0.25869265730886115,
            -0.7453965774649572,
            0.08726891508955427,
            0.2685861032782662,
            -0.7453372319670258,
            0.05859856005652465,
            0.2756845500140075,
            -0.745300902186978,
            0.029424537891956166,
            0.27995577740115335,
            -0.7452886725105421,
            7.9708890105495e-17,
            0.28138149448973254,
            -0.745300902186978,
            -0.02942453789195613,
            0.27995577740115335,
            -0.7453372319670258,
            -0.058598560056524675,
            0.2756845500140075,
            -0.7453965774649572,
            -0.08726891508955424,
            0.26858610327826626,
            -0.745477111075441,
            -0.1151773917125959,
            0.2586926573088612,
            -0.7455762381041803,
            -0.14205874917605069,
            0.24605297123260333,
            -0.745690577018583,
            -0.16763950475022493,
            0.23073598349495109,
            -0.7458159583787329,
            -0.19163785770824424,
            0.2128354030858323,
            -0.7459474615631569,
            -0.21376520302007299,
            0.19247505332942266,
            -0.7460795116122649,
            -0.23372972294982292,
            0.16981458378195702,
            -0.7462060582630553,
            -0.2512424886295244,
            0.1450549184421274,
            -0.7463208528309384,
            -0.2660262956366569,
            0.11844253786380866,
            -0.7464178236951844,
            -0.2778270523184668,
            0.09027148144460004,
            -0.7464915276807826,
            -0.28642694854908524,
            0.06088192735322988,
            -0.7465376268000249,
            -0.2916579671664573,
            0.030654487598172214,
            -0.7465533167578166,
            -0.293413780763238,
            1.6623471880200813e-16,
            -0.7465376268000249,
            -0.2916579671664573,
            -0.030654487598172145,
            -0.7464915276807826,
            -0.28642694854908524,
            -0.06088192735322981,
            -0.7464178236951844,
            -0.2778270523184668,
            -0.09027148144459997,
            -0.7463208528309384,
            -0.26602629563665686,
            -0.1184425378638087,
            -0.7462060582630553,
            -0.2512424886295245,
            -0.1450549184421273,
            -0.7460795116122649,
            -0.23372972294982297,
            -0.16981458378195693,
            -0.7459474615631569,
            -0.213765203020073,
            -0.1924750533294226,
            -0.7458159583787329,
            -0.1916378577082444,
            -0.21283540308583218,
            -0.745690577018583,
            -0.167639504750225,
            -0.23073598349495103,
            -0.7455762381041803,
            -0.14205874917605088,
            -0.24605297123260325,
            -0.7454771110754412,
            -0.11517739171259672,
            -0.2586926573088624,
            -0.7453965774649572,
            -0.0872689150895543,
            -0.2685861032782662,
            -0.7453372319670258,
            -0.05859856005652481,
            -0.27568455001400743,
            -0.745300902186978,
            -0.029424537891956388,
            -0.27995577740115335,
            -0.7452886725105421,
            -5.1688941984922425e-17,
            -0.28138149448973254,
            -0.745300902186978,
            0.029424537891956034,
            -0.27995577740115335,
            -0.7453372319670258,
            0.0585985600565247,
            -0.27568455001400743,
            -0.7453965774649572,
            0.08726891508955421,
            -0.26858610327826626,
            -0.7454771110754412,
            0.11517739171259639,
            -0.25869265730886254,
            -0.7455762381041803,
            0.1420587491760508,
            -0.24605297123260328,
            -0.745690577018583,
            0.1676395047502249,
            -0.2307359834949511,
            -0.7458159583787329,
            0.1916378577082444,
            -0.21283540308583218,
            -0.7459474615631569,
            0.213765203020073,
            -0.19247505332942258,
            -0.7460795116122649,
            0.23372972294982292,
            -0.16981458378195705,
            -0.7462060582630553,
            0.2512424886295245,
            -0.1450549184421273,
            -0.7463208528309384,
            0.2660262956366569,
            -0.11844253786380869,
            -0.7464178236951844,
            0.2778270523184668,
            -0.09027148144460007,
            -0.7464915276807826,
            0.28642694854908524,
            -0.06088192735322978,
            -0.7465376268000249,
            0.29165796716645725,
            -0.030654487598172252,
            -0.7465533167578166,
            0.293413780763238,
            -3.3246943760401625e-16,
            -0.7773773478608301,
            0.29010189881727416,
            0,
            -0.7773461311745421,
            0.2883666318301355,
            0.030308554314645263,
            -0.7772544135123464,
            0.28319675422664015,
            0.06019532835452492,
            -0.7771077768556478,
            0.27469714107789006,
            0.08925451163507583,
            -0.776914855187638,
            0.2630335276796428,
            0.1171100717208738,
            -0.7766864807720002,
            0.24842079411528226,
            0.1434258123547588,
            -0.7764347347521988,
            0.23110966225550253,
            0.16791099826157796,
            -0.7761720487481768,
            0.2113737322695471,
            0.19032176339382903,
            -0.7759104579868279,
            0.18949827253857607,
            0.21045915301985577,
            -0.7756610509540338,
            0.16577152101878656,
            0.22816492445926492,
            -0.7754336138257071,
            0.1404786745754082,
            0.2433162017445412,
            -0.7752364383448362,
            0.11389834479529964,
            0.25581987089706476,
            -0.775076249135156,
            0.08630105498690928,
            0.265607336174067,
            -0.7749582060290312,
            0.0579492985139331,
            0.27263001461180486,
            -0.7748859434222042,
            0.02909871330535659,
            0.2768557635360986,
            -0.7748616177484504,
            7.882643276190195e-17,
            0.2782663191832514,
            -0.7748859434222042,
            -0.029098713305356558,
            0.2768557635360986,
            -0.7749582060290312,
            -0.05794929851393313,
            0.27263001461180486,
            -0.775076249135156,
            -0.08630105498690925,
            0.265607336174067,
            -0.7752364383448362,
            -0.11389834479529956,
            0.25581987089706476,
            -0.7754336138257071,
            -0.14047867457540808,
            0.24331620174454122,
            -0.7756610509540338,
            -0.16577152101878653,
            0.22816492445926492,
            -0.7759104579868279,
            -0.18949827253857596,
            0.21045915301985582,
            -0.7761720487481768,
            -0.21137373226954706,
            0.19032176339382909,
            -0.7764347347521988,
            -0.2311096622555025,
            0.167910998261578,
            -0.7766864807720002,
            -0.24842079411528226,
            0.1434258123547588,
            -0.776914855187638,
            -0.26303352767964283,
            0.11711007172087377,
            -0.7771077768556478,
            -0.27469714107789006,
            0.08925451163507586,
            -0.7772544135123464,
            -0.28319675422664015,
            0.06019532835452492,
            -0.7773461311745421,
            -0.2883666318301355,
            0.030308554314645218,
            -0.7773773478608301,
            -0.29010189881727416,
            1.643583592030805e-16,
            -0.7773461311745421,
            -0.2883666318301355,
            -0.030308554314645145,
            -0.7772544135123464,
            -0.28319675422664015,
            -0.060195328354524846,
            -0.7771077768556478,
            -0.27469714107789006,
            -0.0892545116350758,
            -0.776914855187638,
            -0.2630335276796428,
            -0.11711007172087382,
            -0.7766864807720002,
            -0.24842079411528228,
            -0.1434258123547587,
            -0.7764347347521988,
            -0.23110966225550253,
            -0.16791099826157793,
            -0.7761720487481768,
            -0.2113737322695471,
            -0.19032176339382903,
            -0.7759104579868279,
            -0.18949827253857612,
            -0.21045915301985568,
            -0.7756610509540338,
            -0.1657715210187866,
            -0.2281649244592649,
            -0.7754336138257071,
            -0.14047867457540827,
            -0.24331620174454116,
            -0.7752364383448362,
            -0.11389834479529978,
            -0.25581987089706465,
            -0.775076249135156,
            -0.08630105498690932,
            -0.265607336174067,
            -0.7749582060290312,
            -0.057949298513933246,
            -0.2726300146118048,
            -0.7748859434222042,
            -0.029098713305356808,
            -0.2768557635360986,
            -0.7748616177484504,
            -5.111669356474268e-17,
            -0.2782663191832514,
            -0.7748859434222042,
            0.02909871330535646,
            -0.2768557635360986,
            -0.7749582060290312,
            0.05794929851393315,
            -0.2726300146118048,
            -0.775076249135156,
            0.08630105498690922,
            -0.265607336174067,
            -0.7752364383448362,
            0.11389834479529946,
            -0.2558198708970648,
            -0.7754336138257071,
            0.1404786745754082,
            -0.2433162017445412,
            -0.7756610509540338,
            0.1657715210187865,
            -0.22816492445926495,
            -0.7759104579868279,
            0.18949827253857612,
            -0.21045915301985568,
            -0.7761720487481768,
            0.2113737322695471,
            -0.190321763393829,
            -0.7764347347521988,
            0.2311096622555025,
            -0.16791099826157804,
            -0.7766864807720002,
            0.24842079411528228,
            -0.1434258123547587,
            -0.776914855187638,
            0.26303352767964283,
            -0.1171100717208738,
            -0.7771077768556478,
            0.27469714107789006,
            -0.0892545116350759,
            -0.7772544135123464,
            0.28319675422664015,
            -0.060195328354524825,
            -0.7773461311745421,
            0.2883666318301355,
            -0.03030855431464525,
            -0.7773773478608301,
            0.29010189881727416,
            -3.28716718406161e-16,
            -0.8079761893452557,
            0.28395294191348663,
            0,
            -0.8079304592453345,
            0.282257446215168,
            0.02966645303248804,
            -0.8077960887498093,
            0.2772057088403698,
            0.058921892346410265,
            -0.8075812255243164,
            0.2688992164876214,
            0.08737065173842445,
            -0.807298478948497,
            0.25749846713202357,
            0.11464570399015414,
            -0.8069636812741502,
            0.24321177063446517,
            0.14041838124589395,
            -0.8065945074790632,
            0.2262825083018865,
            0.1644038656250467,
            -0.8062091659960557,
            0.20697668621906998,
            0.1863626453470156,
            -0.8058253065650564,
            0.18557213588637306,
            0.20609873651898947,
            -0.805459211585712,
            0.16235009606033032,
            0.22345573700419696,
            -0.8051252697650304,
            0.13758935682780815,
            0.23831175660648748,
            -0.8048356877135839,
            0.11156276549458506,
            0.2505740738992903,
            -0.8046003763360958,
            0.08453569569387412,
            0.2601741189406933,
            -0.8044269478427659,
            0.05676602494068492,
            0.2670631501313513,
            -0.8043207682361888,
            0.028505195471214828,
            0.271208818551993,
            -0.8042850231409009,
            7.721922738167247e-17,
            0.27259270045336603,
            -0.8043207682361888,
            -0.028505195471214793,
            0.271208818551993,
            -0.8044269478427659,
            -0.05676602494068495,
            0.2670631501313513,
            -0.8046003763360958,
            -0.08453569569387409,
            0.2601741189406933,
            -0.8048356877135839,
            -0.11156276549458498,
            0.2505740738992903,
            -0.8051252697650304,
            -0.13758935682780807,
            0.2383117566064875,
            -0.805459211585712,
            -0.1623500960603303,
            0.22345573700419696,
            -0.8058253065650564,
            -0.18557213588637295,
            0.20609873651898955,
            -0.8062091659960557,
            -0.20697668621906995,
            0.1863626453470157,
            -0.8065945074790632,
            -0.22628250830188648,
            0.16440386562504672,
            -0.8069636812741502,
            -0.24321177063446517,
            0.14041838124589395,
            -0.807298478948497,
            -0.25749846713202357,
            0.11464570399015411,
            -0.8075812255243164,
            -0.2688992164876214,
            0.08737065173842448,
            -0.8077960887498093,
            -0.2772057088403698,
            0.058921892346410265,
            -0.8079304592453345,
            -0.2822574462151681,
            0.02966645303248799,
            -0.8079761893452557,
            -0.28395294191348663,
            1.6087464375124358e-16,
            -0.8079304592453345,
            -0.2822574462151681,
            -0.029666453032487924,
            -0.8077960887498093,
            -0.2772057088403698,
            -0.05892189234641019,
            -0.8075812255243164,
            -0.2688992164876214,
            -0.08737065173842443,
            -0.807298478948497,
            -0.25749846713202357,
            -0.11464570399015417,
            -0.8069636812741502,
            -0.24321177063446522,
            -0.1404183812458939,
            -0.8065945074790632,
            -0.2262825083018865,
            -0.16440386562504666,
            -0.8062091659960557,
            -0.20697668621906998,
            -0.1863626453470156,
            -0.8058253065650564,
            -0.1855721358863731,
            -0.2060987365189894,
            -0.805459211585712,
            -0.16235009606033035,
            -0.2234557370041969,
            -0.8051252697650304,
            -0.13758935682780826,
            -0.23831175660648746,
            -0.8048356877135839,
            -0.1115627654945852,
            -0.2505740738992902,
            -0.8046003763360958,
            -0.08453569569387415,
            -0.2601741189406933,
            -0.8044269478427659,
            -0.05676602494068507,
            -0.2670631501313513,
            -0.8043207682361888,
            -0.02850519547121504,
            -0.271208818551993,
            -0.8042850231409009,
            -5.0074466712172197e-17,
            -0.27259270045336603,
            -0.8043207682361888,
            0.0285051954712147,
            -0.271208818551993,
            -0.8044269478427659,
            0.05676602494068497,
            -0.2670631501313513,
            -0.8046003763360958,
            0.08453569569387406,
            -0.2601741189406933,
            -0.8048356877135839,
            0.11156276549458488,
            -0.2505740738992904,
            -0.8051252697650304,
            0.13758935682780815,
            -0.23831175660648748,
            -0.805459211585712,
            0.16235009606033027,
            -0.223455737004197,
            -0.8058253065650564,
            0.1855721358863731,
            -0.2060987365189894,
            -0.8062091659960557,
            0.20697668621906998,
            -0.18636264534701558,
            -0.8065945074790632,
            0.22628250830188648,
            -0.16440386562504675,
            -0.8069636812741502,
            0.24321177063446522,
            -0.14041838124589387,
            -0.807298478948497,
            0.25749846713202357,
            -0.11464570399015414,
            -0.8075812255243164,
            0.2688992164876214,
            -0.08737065173842452,
            -0.8077960887498093,
            0.2772057088403698,
            -0.05892189234641016,
            -0.8079304592453345,
            0.282257446215168,
            -0.02966645303248803,
            -0.8079761893452557,
            0.28395294191348663,
            -3.2174928750248716e-16,
            -0.8381100657905158,
            0.274905423021906,
            0,
            -0.8380517565416316,
            0.2732692150719343,
            0.028721751871787323,
            -0.8378803924938081,
            0.2683934979494206,
            0.05704879909871896,
            -0.8376062774974857,
            0.2603744477723237,
            0.08460078647699415,
            -0.8372453781168825,
            0.2493643852929146,
            0.11102417742673563,
            -0.8368177781930782,
            0.23556141918612664,
            0.1360014487778005,
            -0.836345949690439,
            0.21919761560018503,
            0.15925638977090573,
            -0.835853102587243,
            0.20052737625439515,
            0.180555660571892,
            -0.8353617974469051,
            0.17981728203225755,
            0.19970732380759582,
            -0.8348929068734204,
            0.15733810110942567,
            0.21655731776827902,
            -0.8344649283679855,
            0.1333591551624842,
            0.2309848323958839,
            -0.834093596598167,
            0.10814488173683115,
            0.2428973812904451,
            -0.8337917183234455,
            0.08195324005933594,
            0.25222613774878966,
            -0.8335691506553785,
            0.05503554701112939,
            0.2589218915601765,
            -0.8334328536644069,
            0.027637349999962167,
            0.2629518204485486,
            -0.8333869641054508,
            7.486929286166385e-17,
            0.26429716295036104,
            -0.8334328536644069,
            -0.027637349999962132,
            0.26295182044854865,
            -0.8335691506553785,
            -0.05503554701112943,
            0.2589218915601765,
            -0.8337917183234455,
            -0.0819532400593359,
            0.25222613774878966,
            -0.834093596598167,
            -0.1081448817368311,
            0.24289738129044514,
            -0.8344649283679855,
            -0.13335915516248412,
            0.23098483239588394,
            -0.8348929068734204,
            -0.15733810110942567,
            0.21655731776827902,
            -0.8353617974469051,
            -0.17981728203225747,
            0.19970732380759587,
            -0.835853102587243,
            -0.20052737625439512,
            0.18055566057189207,
            -0.836345949690439,
            -0.219197615600185,
            0.15925638977090575,
            -0.8368177781930782,
            -0.23556141918612664,
            0.1360014487778005,
            -0.8372453781168825,
            -0.24936438529291463,
            0.1110241774267356,
            -0.8376062774974857,
            -0.2603744477723237,
            0.08460078647699418,
            -0.8378803924938081,
            -0.2683934979494206,
            0.05704879909871896,
            -0.8380517565416316,
            -0.27326921507193436,
            0.028721751871787278,
            -0.8381100657905158,
            -0.274905423021906,
            1.5574873673049806e-16,
            -0.8380517565416316,
            -0.27326921507193436,
            -0.028721751871787212,
            -0.8378803924938081,
            -0.2683934979494206,
            -0.05704879909871889,
            -0.8376062774974857,
            -0.2603744477723237,
            -0.08460078647699411,
            -0.8372453781168825,
            -0.2493643852929146,
            -0.11102417742673565,
            -0.8368177781930782,
            -0.2355614191861267,
            -0.1360014487778004,
            -0.836345949690439,
            -0.21919761560018503,
            -0.15925638977090573,
            -0.835853102587243,
            -0.20052737625439515,
            -0.180555660571892,
            -0.8353617974469051,
            -0.17981728203225764,
            -0.19970732380759576,
            -0.8348929068734204,
            -0.1573381011094257,
            -0.216557317768279,
            -0.8344649283679855,
            -0.13335915516248428,
            -0.23098483239588388,
            -0.834093596598167,
            -0.1081448817368313,
            -0.24289738129044505,
            -0.8337917183234455,
            -0.08195324005933596,
            -0.25222613774878966,
            -0.8335691506553785,
            -0.05503554701112954,
            -0.2589218915601764,
            -0.8334328536644069,
            -0.027637349999962372,
            -0.2629518204485486,
            -0.8333869641054508,
            -4.855060119463291e-17,
            -0.26429716295036104,
            -0.8334328536644069,
            0.027637349999962042,
            -0.26295182044854865,
            -0.8335691506553785,
            0.05503554701112944,
            -0.2589218915601764,
            -0.8337917183234455,
            0.08195324005933588,
            -0.25222613774878966,
            -0.834093596598167,
            0.108144881736831,
            -0.2428973812904452,
            -0.8344649283679855,
            0.1333591551624842,
            -0.2309848323958839,
            -0.8348929068734204,
            0.15733810110942564,
            -0.21655731776827905,
            -0.8353617974469051,
            0.17981728203225764,
            -0.19970732380759576,
            -0.835853102587243,
            0.20052737625439515,
            -0.18055566057189198,
            -0.836345949690439,
            0.219197615600185,
            -0.1592563897709058,
            -0.8368177781930782,
            0.2355614191861267,
            -0.1360014487778004,
            -0.8372453781168825,
            0.24936438529291463,
            -0.11102417742673563,
            -0.8376062774974857,
            0.2603744477723237,
            -0.0846007864769942,
            -0.8378803924938081,
            0.2683934979494206,
            -0.057048799098718864,
            -0.8380517565416316,
            0.2732692150719343,
            -0.028721751871787313,
            -0.8381100657905158,
            0.274905423021906,
            -3.114974734609961e-16,
            -0.8675078519715888,
            0.2629141690197219,
            0,
            -0.8674398304656586,
            0.2613567264006234,
            0.027469698859878152,
            -0.8672398637981233,
            0.2567148377024989,
            0.054566423231720916,
            -0.866919812828529,
            0.2490775696072522,
            0.08093020825521895,
            -0.8664980947086202,
            0.23858629872324838,
            0.10622546411318157,
            -0.8659979438393116,
            0.22542548718753905,
            0.13014946570992816,
            -0.8654454521962083,
            0.2098120755039853,
            0.15243739574271714,
            -0.8648676809633277,
            0.19198496960482905,
            0.17286404307658595,
            -0.8642910521850954,
            0.17219574865530846,
            0.1912427534569677,
            -0.8637401236970772,
            0.15070124527116677,
            0.20742246938372588,
            -0.8632367577096925,
            0.1277582083771009,
            0.22128370799311042,
            -0.86279963090217,
            0.10361993877882207,
            0.23273419300693782,
            -0.8624440036172252,
            0.0785346068609143,
            0.24170466663436663,
            -0.862181660428268,
            0.05274489534605314,
            0.24814522276633172,
            -0.862020944197816,
            0.026488617037581923,
            0.25202235638388426,
            -0.861966822548466,
            7.175881614091677e-17,
            0.25331682453263915,
            -0.862020944197816,
            -0.02648861703758189,
            0.25202235638388426,
            -0.862181660428268,
            -0.052744895346053165,
            0.24814522276633172,
            -0.8624440036172252,
            -0.07853460686091426,
            0.24170466663436668,
            -0.86279963090217,
            -0.10361993877882202,
            0.23273419300693785,
            -0.8632367577096925,
            -0.1277582083771008,
            0.22128370799311045,
            -0.8637401236970772,
            -0.15070124527116674,
            0.20742246938372588,
            -0.8642910521850954,
            -0.17219574865530834,
            0.19124275345696778,
            -0.8648676809633277,
            -0.19198496960482903,
            0.172864043076586,
            -0.8654454521962083,
            -0.20981207550398528,
            0.15243739574271717,
            -0.8659979438393116,
            -0.22542548718753905,
            0.13014946570992816,
            -0.8664980947086202,
            -0.23858629872324844,
            0.10622546411318153,
            -0.866919812828529,
            -0.2490775696072522,
            0.08093020825521899,
            -0.8672398637981233,
            -0.2567148377024989,
            0.054566423231720916,
            -0.8674398304656586,
            -0.26135672640062346,
            0.02746969885987811,
            -0.8675078519715888,
            -0.2629141690197219,
            1.48955045132403e-16,
            -0.8674398304656586,
            -0.26135672640062346,
            -0.027469698859878048,
            -0.8672398637981233,
            -0.2567148377024989,
            -0.054566423231720854,
            -0.866919812828529,
            -0.24907756960725222,
            -0.08093020825521893,
            -0.8664980947086202,
            -0.23858629872324838,
            -0.10622546411318158,
            -0.8659979438393116,
            -0.22542548718753908,
            -0.1301494657099281,
            -0.8654454521962083,
            -0.2098120755039853,
            -0.1524373957427171,
            -0.8648676809633277,
            -0.19198496960482905,
            -0.17286404307658595,
            -0.8642910521850954,
            -0.1721957486553085,
            -0.19124275345696765,
            -0.8637401236970772,
            -0.1507012452711668,
            -0.20742246938372583,
            -0.8632367577096925,
            -0.12775820837710097,
            -0.22128370799311037,
            -0.86279963090217,
            -0.10361993877882222,
            -0.23273419300693773,
            -0.8624440036172252,
            -0.07853460686091433,
            -0.24170466663436663,
            -0.862181660428268,
            -0.05274489534605328,
            -0.2481452227663317,
            -0.862020944197816,
            -0.026488617037582124,
            -0.25202235638388426,
            -0.861966822548466,
            -4.653354575011024e-17,
            -0.25331682453263915,
            -0.862020944197816,
            0.026488617037581808,
            -0.25202235638388426,
            -0.862181660428268,
            0.052744895346053186,
            -0.2481452227663317,
            -0.8624440036172252,
            0.07853460686091425,
            -0.24170466663436668,
            -0.86279963090217,
            0.10361993877882193,
            -0.23273419300693787,
            -0.8632367577096925,
            0.1277582083771009,
            -0.22128370799311042,
            -0.8637401236970772,
            0.1507012452711667,
            -0.2074224693837259,
            -0.8642910521850954,
            0.1721957486553085,
            -0.19124275345696765,
            -0.8648676809633277,
            0.19198496960482905,
            -0.17286404307658593,
            -0.8654454521962083,
            0.20981207550398528,
            -0.15243739574271717,
            -0.8659979438393116,
            0.22542548718753908,
            -0.1301494657099281,
            -0.8664980947086202,
            0.23858629872324844,
            -0.10622546411318157,
            -0.866919812828529,
            0.2490775696072522,
            -0.08093020825521902,
            -0.8672398637981233,
            0.2567148377024989,
            -0.054566423231720826,
            -0.8674398304656586,
            0.2613567264006234,
            -0.027469698859878145,
            -0.8675078519715888,
            0.2629141690197219,
            -2.97910090264806e-16,
            -0.8958656601367778,
            0.2479570947031513,
            0,
            -0.895791651388201,
            0.24649745351400354,
            0.025907926346525976,
            -0.8955739936088518,
            0.24214596525924906,
            0.0514697137977746,
            -0.8952253498323695,
            0.23498303360890266,
            0.07635061590009146,
            -0.8947654397962076,
            0.22513667430628145,
            0.10023730551612177,
            -0.8942192439486021,
            0.21277464508073177,
            0.12284549861408754,
            -0.8936149589335466,
            0.1980953108694888,
            0.14392466794512623,
            -0.8929820000726022,
            0.1813184769943924,
            0.1632598899916758,
            -0.89234926892232,
            0.16267715771939878,
            0.1806712872400067,
            -0.8917438015059882,
            0.14241086978708056,
            0.19601174645351213,
            -0.8911898191806926,
            0.12076067587409856,
            0.20916362617029577,
            -0.8907081381308156,
            0.09796592676578499,
            0.2200350741055603,
            -0.8903158588449877,
            0.07426248466158478,
            0.2285564264726892,
            -0.8900262478287981,
            0.04988213817639327,
            0.23467700918982456,
            -0.8898487312113239,
            0.02505291196062796,
            0.2383625350329665,
            -0.8897889357178823,
            6.787123001577125e-17,
            0.23959320107729787,
            -0.8898487312113239,
            -0.025052911960627925,
            0.23836253503296653,
            -0.8900262478287981,
            -0.049882138176393295,
            0.23467700918982456,
            -0.8903158588449877,
            -0.07426248466158475,
            0.2285564264726892,
            -0.8907081381308156,
            -0.09796592676578493,
            0.22003507410556034,
            -0.8911898191806926,
            -0.12076067587409847,
            0.2091636261702958,
            -0.8917438015059882,
            -0.1424108697870805,
            0.19601174645351213,
            -0.89234926892232,
            -0.16267715771939867,
            0.18067128724000675,
            -0.8929820000726022,
            -0.18131847699439238,
            0.16325988999167584,
            -0.8936149589335466,
            -0.19809531086948876,
            0.14392466794512626,
            -0.8942192439486021,
            -0.21277464508073177,
            0.12284549861408754,
            -0.8947654397962076,
            -0.22513667430628148,
            0.10023730551612176,
            -0.8952253498323695,
            -0.23498303360890266,
            0.07635061590009148,
            -0.8955739936088518,
            -0.24214596525924906,
            0.0514697137977746,
            -0.895791651388201,
            -0.2464974535140036,
            0.025907926346525934,
            -0.8958656601367778,
            -0.2479570947031513,
            1.4048105649884876e-16,
            -0.895791651388201,
            -0.2464974535140036,
            -0.025907926346525875,
            -0.8955739936088518,
            -0.24214596525924906,
            -0.051469713797774534,
            -0.8952253498323695,
            -0.23498303360890266,
            -0.07635061590009144,
            -0.8947654397962076,
            -0.22513667430628145,
            -0.10023730551612178,
            -0.8942192439486021,
            -0.2127746450807318,
            -0.12284549861408749,
            -0.8936149589335466,
            -0.1980953108694888,
            -0.1439246679451262,
            -0.8929820000726022,
            -0.1813184769943924,
            -0.1632598899916758,
            -0.89234926892232,
            -0.1626771577193988,
            -0.18067128724000667,
            -0.8917438015059882,
            -0.14241086978708056,
            -0.1960117464535121,
            -0.8911898191806926,
            -0.12076067587409862,
            -0.20916362617029574,
            -0.8907081381308156,
            -0.09796592676578512,
            -0.22003507410556022,
            -0.8903158588449877,
            -0.07426248466158479,
            -0.2285564264726892,
            -0.8900262478287981,
            -0.0498821381763934,
            -0.23467700918982454,
            -0.8898487312113239,
            -0.025052911960628144,
            -0.2383625350329665,
            -0.8897889357178823,
            -4.4012557019517143e-17,
            -0.23959320107729787,
            -0.8898487312113239,
            0.025052911960627845,
            -0.23836253503296653,
            -0.8900262478287981,
            0.049882138176393316,
            -0.23467700918982454,
            -0.8903158588449877,
            0.07426248466158472,
            -0.2285564264726892,
            -0.8907081381308156,
            0.09796592676578485,
            -0.22003507410556034,
            -0.8911898191806926,
            0.12076067587409856,
            -0.20916362617029577,
            -0.8917438015059882,
            0.1424108697870805,
            -0.1960117464535122,
            -0.89234926892232,
            0.1626771577193988,
            -0.18067128724000667,
            -0.8929820000726022,
            0.1813184769943924,
            -0.16325988999167576,
            -0.8936149589335466,
            0.19809531086948876,
            -0.1439246679451263,
            -0.8942192439486021,
            0.2127746450807318,
            -0.12284549861408747,
            -0.8947654397962076,
            0.22513667430628148,
            -0.10023730551612177,
            -0.8952253498323695,
            0.23498303360890266,
            -0.07635061590009153,
            -0.8955739936088518,
            0.24214596525924906,
            -0.05146971379777452,
            -0.895791651388201,
            0.24649745351400354,
            -0.025907926346525962,
            -0.8958656601367778,
            0.2479570947031513,
            -2.809621129976975e-16,
            -0.922846345065913,
            0.23004345733826076,
            0,
            -0.9227707428037615,
            0.22869975035868384,
            0.024037312366900578,
            -0.9225482808038602,
            0.2246926558452161,
            0.04775989835896473,
            -0.9221915777619452,
            0.2180927277176328,
            0.0708626228406192,
            -0.9217203579560558,
            0.20901273459963532,
            0.0930584650385376,
            -0.9211597410241856,
            0.19760127080413312,
            0.11408514689097837,
            -0.9205382689122439,
            0.18403524985490183,
            0.1337094356716786,
            -0.9198859430262979,
            0.16851224914131563,
            0.15172911064056582,
            -0.9192324814039368,
            0.15124349401726012,
            0.16797291724206323,
            -0.9186059165908815,
            0.13244799287394476,
            0.1822990227943924,
            -0.9180315693547697,
            0.11234805358868467,
            0.19459253694707274,
            -0.9175313694800201,
            0.09116618665372139,
            0.20476260776087393,
            -0.9171234580583132,
            0.06912325357871178,
            0.21273949957519164,
            -0.9168219925209194,
            0.04643764499220582,
            0.21847194284360302,
            -0.9166370790328893,
            0.02332525154017501,
            0.22192494413964173,
            -0.9165747696940272,
            6.319290168643434e-17,
            0.22307816724254972,
            -0.9166370790328893,
            -0.02332525154017498,
            0.22192494413964173,
            -0.9168219925209194,
            -0.046437644992205845,
            0.21847194284360302,
            -0.9171234580583132,
            -0.06912325357871175,
            0.21273949957519167,
            -0.9175313694800201,
            -0.09116618665372134,
            0.20476260776087393,
            -0.9180315693547697,
            -0.1123480535886846,
            0.1945925369470728,
            -0.9186059165908815,
            -0.1324479928739447,
            0.1822990227943924,
            -0.9192324814039368,
            -0.15124349401726003,
            0.16797291724206329,
            -0.9198859430262979,
            -0.16851224914131563,
            0.15172911064056588,
            -0.9205382689122439,
            -0.18403524985490177,
            0.13370943567167862,
            -0.9211597410241856,
            -0.19760127080413312,
            0.11408514689097837,
            -0.9217203579560558,
            -0.20901273459963532,
            0.09305846503853758,
            -0.9221915777619452,
            -0.2180927277176328,
            0.07086262284061923,
            -0.9225482808038602,
            -0.2246926558452161,
            0.04775989835896473,
            -0.9227707428037615,
            -0.22869975035868384,
            0.02403731236690054,
            -0.922846345065913,
            -0.23004345733826076,
            1.3033201556993398e-16,
            -0.9227707428037615,
            -0.22869975035868384,
            -0.02403731236690048,
            -0.9225482808038602,
            -0.2246926558452161,
            -0.047759898358964666,
            -0.9221915777619452,
            -0.21809272771763283,
            -0.07086262284061917,
            -0.9217203579560558,
            -0.20901273459963532,
            -0.09305846503853761,
            -0.9211597410241856,
            -0.19760127080413314,
            -0.11408514689097832,
            -0.9205382689122439,
            -0.18403524985490183,
            -0.13370943567167856,
            -0.9198859430262979,
            -0.16851224914131563,
            -0.15172911064056582,
            -0.9192324814039368,
            -0.15124349401726017,
            -0.16797291724206317,
            -0.9186059165908815,
            -0.13244799287394476,
            -0.18229902279439236,
            -0.9180315693547697,
            -0.11234805358868476,
            -0.1945925369470727,
            -0.9175313694800201,
            -0.09116618665372152,
            -0.20476260776087382,
            -0.9171234580583132,
            -0.06912325357871181,
            -0.21273949957519164,
            -0.9168219925209194,
            -0.04643764499220594,
            -0.21847194284360297,
            -0.9166370790328893,
            -0.023325251540175184,
            -0.22192494413964173,
            -0.9165747696940272,
            -4.0978794520986966e-17,
            -0.22307816724254972,
            -0.9166370790328893,
            0.023325251540174903,
            -0.22192494413964173,
            -0.9168219925209194,
            0.04643764499220587,
            -0.21847194284360297,
            -0.9171234580583132,
            0.06912325357871173,
            -0.21273949957519167,
            -0.9175313694800201,
            0.09116618665372125,
            -0.20476260776087396,
            -0.9180315693547697,
            0.11234805358868467,
            -0.19459253694707274,
            -0.9186059165908815,
            0.1324479928739447,
            -0.18229902279439242,
            -0.9192324814039368,
            0.15124349401726017,
            -0.16797291724206317,
            -0.9198859430262979,
            0.16851224914131563,
            -0.1517291106405658,
            -0.9205382689122439,
            0.18403524985490177,
            -0.13370943567167864,
            -0.9211597410241856,
            0.19760127080413314,
            -0.11408514689097832,
            -0.9217203579560558,
            0.20901273459963532,
            -0.0930584650385376,
            -0.9221915777619452,
            0.2180927277176328,
            -0.07086262284061925,
            -0.9225482808038602,
            0.2246926558452161,
            -0.04775989835896465,
            -0.9227707428037615,
            0.22869975035868384,
            -0.024037312366900567,
            -0.922846345065913,
            0.23004345733826076,
            -2.6066403113986796e-16,
            -0.9480807683182598,
            0.2092237206958822,
            0,
            -0.9480083062850558,
            0.208012683574243,
            0.021863014032631946,
            -0.9477949490544797,
            0.2043999513708289,
            0.04344655086890311,
            -0.9474524251519665,
            0.19844551060206383,
            0.06447885502360658,
            -0.9469991506976674,
            0.19024568425608468,
            0.08470283588695945,
            -0.9464587314773245,
            0.17992823702665137,
            0.10388161608215192,
            -0.9458582059266922,
            0.16764653748976002,
            0.12180233915915578,
            -0.945226257767107,
            0.1535734850263218,
            0.1382781870146139,
            -0.9445915828115712,
            0.13789580303084997,
            0.15314880458848332,
            -0.9439815261144375,
            0.12080911721883941,
            0.1662794847680933,
            -0.9434210357116652,
            0.10251403930577893,
            0.17755952456672197,
            -0.9429319231847939,
            0.08321330606163954,
            0.1869001454925889,
            -0.9425323855459453,
            0.0631099024582808,
            0.19423230782858686,
            -0.9422367266957259,
            0.042406026479775975,
            0.19950466900009478,
            -0.9420552154275688,
            0.02130272191389822,
            0.20268186015578177,
            -0.9419940253166191,
            5.771574916314724e-17,
            0.20374319268060326,
            -0.9420552154275688,
            -0.021302721913898193,
            0.2026818601557818,
            -0.9422367266957259,
            -0.042406026479775996,
            0.19950466900009478,
            -0.9425323855459453,
            -0.06310990245828078,
            0.1942323078285869,
            -0.9429319231847939,
            -0.08321330606163947,
            0.18690014549258893,
            -0.9434210357116652,
            -0.10251403930577886,
            0.17755952456672203,
            -0.9439815261144375,
            -0.12080911721883938,
            0.1662794847680933,
            -0.9445915828115712,
            -0.1378958030308499,
            0.15314880458848337,
            -0.945226257767107,
            -0.15357348502632173,
            0.13827818701461395,
            -0.9458582059266922,
            -0.16764653748976002,
            0.1218023391591558,
            -0.9464587314773245,
            -0.17992823702665137,
            0.10388161608215192,
            -0.9469991506976674,
            -0.1902456842560847,
            0.08470283588695944,
            -0.9474524251519665,
            -0.19844551060206383,
            0.06447885502360659,
            -0.9477949490544797,
            -0.2043999513708289,
            0.04344655086890311,
            -0.9480083062850558,
            -0.20801268357424302,
            0.02186301403263191,
            -0.9480807683182598,
            -0.2092237206958822,
            1.1853651279131572e-16,
            -0.9480083062850558,
            -0.20801268357424302,
            -0.021863014032631863,
            -0.9477949490544797,
            -0.2043999513708289,
            -0.043446550868903054,
            -0.9474524251519654,
            -0.19844551060206295,
            -0.06447885502360626,
            -0.9469991506976674,
            -0.19024568425608468,
            -0.08470283588695947,
            -0.9464587314773245,
            -0.17992823702665137,
            -0.10388161608215189,
            -0.9458582059266922,
            -0.16764653748976002,
            -0.12180233915915574,
            -0.945226257767107,
            -0.1535734850263218,
            -0.1382781870146139,
            -0.9445915828115712,
            -0.13789580303085,
            -0.15314880458848326,
            -0.9439815261144375,
            -0.12080911721883943,
            -0.1662794847680933,
            -0.9434210357116652,
            -0.102514039305779,
            -0.17755952456672194,
            -0.9429319231847939,
            -0.08321330606163964,
            -0.18690014549258885,
            -0.9425323855459453,
            -0.06310990245828083,
            -0.19423230782858686,
            -0.9422367266957259,
            -0.04240602647977609,
            -0.19950466900009478,
            -0.9420552154275688,
            -0.02130272191389838,
            -0.20268186015578177,
            -0.9419940253166191,
            -3.742701731465448e-17,
            -0.20374319268060326,
            -0.9420552154275688,
            0.021302721913898124,
            -0.2026818601557818,
            -0.9422367266957259,
            0.04240602647977602,
            -0.19950466900009478,
            -0.9425323855459453,
            0.06310990245828076,
            -0.1942323078285869,
            -0.9429319231847939,
            0.0832133060616394,
            -0.18690014549258896,
            -0.9434210357116652,
            0.10251403930577893,
            -0.17755952456672197,
            -0.9439815261144375,
            0.12080911721883936,
            -0.16627948476809332,
            -0.9445915828115712,
            0.13789580303085,
            -0.15314880458848326,
            -0.945226257767107,
            0.1535734850263218,
            -0.13827818701461386,
            -0.9458582059266922,
            0.16764653748976002,
            -0.12180233915915581,
            -0.9464587314773245,
            0.17992823702665137,
            -0.10388161608215188,
            -0.9469991506976674,
            0.1902456842560847,
            -0.08470283588695945,
            -0.9474524251519654,
            0.19844551060206292,
            -0.06447885502360633,
            -0.9477949490544797,
            0.2043999513708289,
            -0.04344655086890304,
            -0.9480083062850558,
            0.208012683574243,
            -0.02186301403263194,
            -0.9480807683182598,
            0.2092237206958822,
            -2.3707302558263144e-16,
            -0.9711719745651297,
            0.18560087505609923,
            0,
            -0.9711072494708126,
            0.1845373661199451,
            0.01939565874397898,
            -0.9709165357325709,
            0.1813635189801105,
            0.038550006006788075,
            -0.9706099373084559,
            0.17612856345929606,
            0.05722763933713263,
            -0.97020340205547,
            0.16891196607216521,
            0.07520445258719018,
            -0.9697175242838861,
            0.15981992641220583,
            0.09227207753595318,
            -0.969176112377556,
            0.14898112373178146,
            0.10824112226116797,
            -0.9686046929140558,
            0.13654218696729564,
            0.12294313736262483,
            -0.9680290974607111,
            0.1226633105725562,
            0.13623140783226095,
            -0.96747423327618,
            0.10751433311776576,
            0.14798078429480793,
            -0.9669630892515286,
            0.09127147044013542,
            0.15808682408383543,
            -0.9665159850453524,
            0.0741147785701104,
            0.166464518158236,
            -0.9661500405938512,
            0.056226330138376204,
            0.1730468506226612,
            -0.965878826192685,
            0.03778902630144008,
            0.17778339094562834,
            -0.9657121482042106,
            0.018985931155884657,
            0.18063906851986614,
            -0.9656559289340707,
            5.1441176345842706e-17,
            0.18159323331871663,
            -0.9657121482042106,
            -0.018985931155884633,
            0.18063906851986614,
            -0.965878826192685,
            -0.0377890263014401,
            0.17778339094562834,
            -0.9661500405938512,
            -0.05622633013837618,
            0.1730468506226612,
            -0.9665159850453524,
            -0.07411477857011034,
            0.166464518158236,
            -0.9669630892515286,
            -0.09127147044013537,
            0.15808682408383545,
            -0.96747423327618,
            -0.10751433311776573,
            0.14798078429480793,
            -0.9680290974607111,
            -0.12266331057255613,
            0.13623140783226098,
            -0.9686046929140558,
            -0.13654218696729564,
            0.12294313736262485,
            -0.969176112377556,
            -0.14898112373178143,
            0.10824112226116799,
            -0.9697175242838861,
            -0.15981992641220583,
            0.09227207753595318,
            -0.97020340205547,
            -0.16891196607216521,
            0.07520445258719015,
            -0.9706099373084559,
            -0.17612856345929606,
            0.05722763933713265,
            -0.9709165357325709,
            -0.1813635189801105,
            0.038550006006788075,
            -0.9711072494708126,
            -0.1845373661199451,
            0.019395658743978948,
            -0.9711719745651297,
            -0.18560087505609923,
            1.051528977067833e-16,
            -0.9711072494708126,
            -0.1845373661199451,
            -0.019395658743978906,
            -0.9709165357325709,
            -0.1813635189801105,
            -0.038550006006788026,
            -0.9706099373084559,
            -0.17612856345929606,
            -0.05722763933713261,
            -0.97020340205547,
            -0.16891196607216521,
            -0.07520445258719019,
            -0.9697175242838861,
            -0.15981992641220583,
            -0.09227207753595315,
            -0.969176112377556,
            -0.14898112373178146,
            -0.10824112226116794,
            -0.9686046929140558,
            -0.13654218696729564,
            -0.12294313736262483,
            -0.9680290974607111,
            -0.12266331057255624,
            -0.1362314078322609,
            -0.96747423327618,
            -0.10751433311776577,
            -0.1479807842948079,
            -0.9669630892515286,
            -0.09127147044013549,
            -0.1580868240838354,
            -0.9665159850453524,
            -0.07411477857011049,
            -0.16646451815823596,
            -0.9661500405938512,
            -0.05622633013837622,
            -0.1730468506226612,
            -0.965878826192685,
            -0.03778902630144018,
            -0.1777833909456283,
            -0.9657121482042106,
            -0.0189859311558848,
            -0.18063906851986614,
            -0.9656559289340707,
            -3.3358135789587715e-17,
            -0.18159323331871663,
            -0.9657121482042106,
            0.01898593115588457,
            -0.18063906851986614,
            -0.965878826192685,
            0.03778902630144011,
            -0.1777833909456283,
            -0.9661500405938512,
            0.056226330138376156,
            -0.1730468506226612,
            -0.9665159850453524,
            0.07411477857011028,
            -0.16646451815823604,
            -0.9669630892515286,
            0.09127147044013542,
            -0.15808682408383543,
            -0.96747423327618,
            0.1075143331177657,
            -0.14798078429480796,
            -0.9680290974607111,
            0.12266331057255624,
            -0.1362314078322609,
            -0.9686046929140558,
            0.13654218696729564,
            -0.12294313736262479,
            -0.969176112377556,
            0.14898112373178143,
            -0.10824112226116801,
            -0.9697175242838861,
            0.15981992641220583,
            -0.09227207753595312,
            -0.97020340205547,
            0.16891196607216521,
            -0.07520445258719018,
            -0.9706099373084559,
            0.17612856345929606,
            -0.057227639337132666,
            -0.9709165357325709,
            0.1813635189801105,
            -0.03855000600678802,
            -0.9711072494708126,
            0.1845373661199451,
            -0.019395658743978972,
            -0.9711719745651297,
            0.18560087505609923,
            -2.103057954135666e-16,
            -0.9917036846681,
            0.15934255377946765,
            0,
            -0.9916505533155499,
            0.15843915123993466,
            0.016652625827216185,
            -0.9914938804095997,
            0.15574205312209682,
            0.03310399531906283,
            -0.9912416317498678,
            0.1512900641941646,
            0.049157121701024854,
            -0.9909064512526367,
            0.14514617683719067,
            0.06462324149078269,
            -0.9905047986741424,
            0.13739525647992834,
            0.0793251883140643,
            -0.9900558950340173,
            0.12814117416992069,
            0.09310001262298942,
            -0.9895805883313111,
            0.11750366950732494,
            0.10580077924423215,
            -0.989100241584767,
            0.10561521037502053,
            0.11729757439881582,
            -0.9886357210676455,
            0.09261806526354985,
            0.12747783053776923,
            -0.9882065327391043,
            0.07866173608593253,
            0.1362461235124093,
            -0.9878301263237365,
            0.06390082961399285,
            0.14352361319601545,
            -0.987521363885737,
            0.04849338482412743,
            0.14924729213512125,
            -0.9872921350454563,
            0.03259962675249004,
            0.15336918557752405,
            -0.9871510940692593,
            0.016381085547626847,
            0.1558556180559202,
            -0.9871034936029257,
            4.4385710481931706e-17,
            0.1566866322296656,
            -0.9871510940692593,
            -0.016381085547626826,
            0.15585561805592021,
            -0.9872921350454563,
            -0.032599626752490056,
            0.15336918557752405,
            -0.987521363885737,
            -0.04849338482412742,
            0.14924729213512128,
            -0.9878301263237365,
            -0.06390082961399281,
            0.14352361319601545,
            -0.9882065327391043,
            -0.0786617360859325,
            0.13624612351240933,
            -0.9886357210676455,
            -0.09261806526354983,
            0.12747783053776923,
            -0.989100241584767,
            -0.10561521037502049,
            0.11729757439881586,
            -0.9895805883313099,
            -0.11750366950732438,
            0.1058007792442317,
            -0.9900558950340173,
            -0.12814117416992066,
            0.09310001262298943,
            -0.9905047986741424,
            -0.13739525647992834,
            0.0793251883140643,
            -0.9909064512526367,
            -0.14514617683719067,
            0.06462324149078268,
            -0.9912416317498678,
            -0.1512900641941646,
            0.04915712170102487,
            -0.9914938804095997,
            -0.15574205312209682,
            0.03310399531906283,
            -0.9916505533155499,
            -0.15843915123993468,
            0.016652625827216157,
            -0.9917036846681,
            -0.15934255377946765,
            9.027614364881391e-17,
            -0.9916505533155499,
            -0.15843915123993468,
            -0.016652625827216123,
            -0.9914938804095997,
            -0.15574205312209682,
            -0.03310399531906279,
            -0.9912416317498678,
            -0.1512900641941646,
            -0.049157121701024833,
            -0.9909064512526367,
            -0.14514617683719067,
            -0.0646232414907827,
            -0.9905047986741424,
            -0.13739525647992837,
            -0.07932518831406425,
            -0.9900558950340173,
            -0.12814117416992069,
            -0.0931000126229894,
            -0.9895805883313111,
            -0.11750366950732494,
            -0.10580077924423215,
            -0.989100241584767,
            -0.10561521037502057,
            -0.11729757439881579,
            -0.9886357210676455,
            -0.09261806526354986,
            -0.12747783053776923,
            -0.9882065327391043,
            -0.07866173608593259,
            -0.1362461235124093,
            -0.9878301263237365,
            -0.06390082961399295,
            -0.1435236131960154,
            -0.987521363885737,
            -0.048493384824127454,
            -0.14924729213512125,
            -0.9872921350454563,
            -0.032599626752490125,
            -0.15336918557752402,
            -0.9871510940692593,
            -0.016381085547626968,
            -0.1558556180559202,
            -0.9871034936029257,
            -2.878286739438578e-17,
            -0.1566866322296656,
            -0.9871510940692593,
            0.016381085547626774,
            -0.15585561805592021,
            -0.9872921350454563,
            0.03259962675249007,
            -0.15336918557752402,
            -0.987521363885737,
            0.0484933848241274,
            -0.14924729213512128,
            -0.9878301263237365,
            0.06390082961399277,
            -0.14352361319601548,
            -0.9882065327391043,
            0.07866173608593253,
            -0.1362461235124093,
            -0.9886357210676455,
            0.09261806526354982,
            -0.12747783053776926,
            -0.989100241584767,
            0.10561521037502057,
            -0.11729757439881579,
            -0.9895805883313111,
            0.11750366950732494,
            -0.10580077924423213,
            -0.9900558950340173,
            0.12814117416992066,
            -0.09310001262298946,
            -0.9905047986741424,
            0.13739525647992837,
            -0.07932518831406425,
            -0.9909064512526367,
            0.14514617683719067,
            -0.06462324149078269,
            -0.9912416317498678,
            0.1512900641941646,
            -0.04915712170102489,
            -0.9914938804095997,
            0.15574205312209682,
            -0.03310399531906277,
            -0.9916505533155499,
            0.15843915123993466,
            -0.016652625827216178,
            -0.9917036846681,
            0.15934255377946765,
            -1.8055228729762782e-16,
            -1.009254509355861,
            0.13069252785711225,
            0,
            -1.009215432071419,
            0.12995927749680963,
            0.013659270476982014,
            -1.0091001131302202,
            0.1277693430982252,
            0.027158212255796118,
            -1.0089141687031586,
            0.12415186720599783,
            0.04033938697932094,
            -1.008666564075695,
            0.11915442628212704,
            0.0530509685622843,
            -1.0083690659302305,
            0.11284164050680322,
            0.0651491515224018,
            -1.0080355563390606,
            0.10529341215621892,
            0.0765001418502897,
            -1.0076812713579013,
            0.09660293950313498,
            0.08698167741968231,
            -1.007322025034578,
            0.08687465214166802,
            0.09648407588996924,
            -1.006973469981184,
            0.07622219506639283,
            0.10491085122801017,
            -1.0066504316442488,
            0.06476655888056497,
            0.11217897061253976,
            -1.0063663383910562,
            0.052634418804881886,
            0.11821884020884026,
            -1.0061327561753248,
            0.03995671125937984,
            0.12297411244265839,
            -1.0059590264763438,
            0.026867447365033735,
            0.12640140183836532,
            -1.0058520000268458,
            0.013502739476684412,
            0.12846998451159425,
            -1.005815856385218,
            3.658848670691962e-17,
            0.12916154091576054,
            -1.0058520000268458,
            -0.013502739476684397,
            0.12846998451159428,
            -1.0059590264763438,
            -0.026867447365033745,
            0.12640140183836532,
            -1.0061327561753248,
            -0.03995671125937982,
            0.1229741124426584,
            -1.0063663383910562,
            -0.052634418804881844,
            0.11821884020884028,
            -1.0066504316442488,
            -0.06476655888056493,
            0.11217897061253977,
            -1.006973469981184,
            -0.07622219506639281,
            0.10491085122801017,
            -1.007322025034578,
            -0.08687465214166798,
            0.09648407588996928,
            -1.0076812713579013,
            -0.09660293950313498,
            0.08698167741968235,
            -1.0080355563390606,
            -0.1052934121562189,
            0.0765001418502897,
            -1.0083690659302305,
            -0.11284164050680322,
            0.0651491515224018,
            -1.008666564075695,
            -0.11915442628212705,
            0.05305096856228429,
            -1.0089141687031586,
            -0.12415186720599783,
            0.04033938697932095,
            -1.0091001131302202,
            -0.1277693430982252,
            0.027158212255796118,
            -1.009215432071419,
            -0.12995927749680966,
            0.013659270476981991,
            -1.009254509355861,
            -0.13069252785711225,
            7.404436002064114e-17,
            -1.009215432071419,
            -0.12995927749680966,
            -0.01365927047698196,
            -1.0091001131302202,
            -0.1277693430982252,
            -0.027158212255796087,
            -1.0089141687031586,
            -0.12415186720599784,
            -0.04033938697932092,
            -1.008666564075695,
            -0.11915442628212704,
            -0.05305096856228431,
            -1.0083690659302305,
            -0.11284164050680323,
            -0.06514915152240178,
            -1.0080355563390606,
            -0.10529341215621892,
            -0.07650014185028967,
            -1.0076812713579013,
            -0.09660293950313498,
            -0.08698167741968231,
            -1.007322025034578,
            -0.08687465214166806,
            -0.09648407588996923,
            -1.006973469981184,
            -0.07622219506639283,
            -0.10491085122801015,
            -1.0066504316442488,
            -0.06476655888056501,
            -0.11217897061253974,
            -1.0063663383910562,
            -0.05263441880488196,
            -0.11821884020884023,
            -1.0061327561753248,
            -0.03995671125937985,
            -0.12297411244265839,
            -1.0059590264763438,
            -0.026867447365033804,
            -0.12640140183836532,
            -1.0058520000268458,
            -0.013502739476684514,
            -0.12846998451159425,
            -1.005815856385218,
            -2.3726590148313908e-17,
            -0.12916154091576054,
            -1.0058520000268458,
            0.013502739476684351,
            -0.12846998451159428,
            -1.0059590264763438,
            0.026867447365033756,
            -0.12640140183836532,
            -1.0061327561753248,
            0.03995671125937981,
            -0.1229741124426584,
            -1.0063663383910562,
            0.0526344188048818,
            -0.1182188402088403,
            -1.0066504316442488,
            0.06476655888056497,
            -0.11217897061253976,
            -1.006973469981184,
            0.07622219506639279,
            -0.1049108512280102,
            -1.007322025034578,
            0.08687465214166806,
            -0.09648407588996923,
            -1.0076812713579013,
            0.09660293950313498,
            -0.0869816774196823,
            -1.0080355563390606,
            0.1052934121562189,
            -0.07650014185028971,
            -1.0083690659302305,
            0.11284164050680323,
            -0.06514915152240176,
            -1.008666564075695,
            0.11915442628212705,
            -0.0530509685622843,
            -1.0089141687031586,
            0.12415186720599783,
            -0.04033938697932096,
            -1.0091001131302202,
            0.1277693430982252,
            -0.027158212255796073,
            -1.009215432071419,
            0.12995927749680963,
            -0.013659270476982009,
            -1.009254509355861,
            0.13069252785711225,
            -1.480887200412823e-16,
            -1.0234187491004776,
            0.09997924077295096,
            0,
            -1.0233942111516812,
            0.09942361484430405,
            0.010449843005559735,
            -1.0233217475433947,
            0.09776362550651202,
            0.02078030009405987,
            -1.0232047444570471,
            0.09501977735966195,
            0.03087379719581975,
            -1.0230486360302904,
            0.09122572100652543,
            0.04061630783005863,
            -1.0228606088866954,
            0.08642750800507179,
            0.049898945012116724,
            -1.0226492231266056,
            0.08068262299699783,
            0.05861935687834228,
            -1.0224239783356244,
            0.07405885570824722,
            0.06668289319577597,
            -1.0221948541613286,
            0.06663307845822224,
            0.0740035308372971,
            -1.0219718528108965,
            0.058489990659526966,
            0.08050456567230072,
            -1.0217645663411945,
            0.049720882106645485,
            0.08611909400585223,
            -1.0215817859623757,
            0.040422453697457776,
            0.09079031749593057,
            -1.0214311648152705,
            0.030695719676293667,
            0.09447171110947551,
            -1.0213189406333936,
            0.020645001267520335,
            0.09712709457339708,
            -1.0212497208646487,
            0.010377008917360512,
            0.09873064478448566,
            -1.0212263303905116,
            2.8120018707345136e-17,
            0.09926688075169346,
            -1.0212497208646487,
            -0.0103770089173605,
            0.09873064478448568,
            -1.0213189406333936,
            -0.020645001267520346,
            0.09712709457339708,
            -1.0214311648152705,
            -0.03069571967629366,
            0.09447171110947553,
            -1.0215817859623757,
            -0.040422453697457755,
            0.09079031749593058,
            -1.0217645663411945,
            -0.04972088210664546,
            0.08611909400585224,
            -1.0219718528108965,
            -0.058489990659526946,
            0.08050456567230072,
            -1.0221948541613286,
            -0.0666330784582222,
            0.07400353083729713,
            -1.0224239783356244,
            -0.07405885570824722,
            0.06668289319577599,
            -1.0226492231266056,
            -0.08068262299699783,
            0.058619356878342285,
            -1.0228606088866954,
            -0.08642750800507179,
            0.049898945012116724,
            -1.0230486360302904,
            -0.09122572100652544,
            0.04061630783005861,
            -1.0232047444570471,
            -0.09501977735966195,
            0.030873797195819765,
            -1.0233217475433947,
            -0.09776362550651202,
            0.02078030009405987,
            -1.0233942111516812,
            -0.09942361484430406,
            0.010449843005559716,
            -1.0234187491004776,
            -0.09997924077295096,
            5.664362775564665e-17,
            -1.0233942111516812,
            -0.09942361484430406,
            -0.010449843005559694,
            -1.0233217475433947,
            -0.09776362550651202,
            -0.020780300094059845,
            -1.0232047444570471,
            -0.09501977735966198,
            -0.030873797195819744,
            -1.0230486360302904,
            -0.09122572100652543,
            -0.04061630783005863,
            -1.0228606088866954,
            -0.08642750800507182,
            -0.04989894501211671,
            -1.0226492231266056,
            -0.08068262299699783,
            -0.05861935687834226,
            -1.0224239783356244,
            -0.07405885570824722,
            -0.06668289319577597,
            -1.0221948541613286,
            -0.06663307845822225,
            -0.07400353083729709,
            -1.0219718528108965,
            -0.05848999065952697,
            -0.08050456567230072,
            -1.0217645663411945,
            -0.04972088210664552,
            -0.08611909400585223,
            -1.0215817859623757,
            -0.04042245369745783,
            -0.09079031749593056,
            -1.0214311648152705,
            -0.03069571967629368,
            -0.09447171110947551,
            -1.0213189406333936,
            -0.02064500126752039,
            -0.09712709457339708,
            -1.0212497208646487,
            -0.010377008917360589,
            -0.09873064478448566,
            -1.0212263303905116,
            -1.8235030166085508e-17,
            -0.09926688075169346,
            -1.0212497208646487,
            0.010377008917360465,
            -0.09873064478448568,
            -1.0213189406333936,
            0.020645001267520353,
            -0.09712709457339708,
            -1.0214311648152705,
            0.030695719676293646,
            -0.09447171110947553,
            -1.0215817859623757,
            0.040422453697457714,
            -0.09079031749593061,
            -1.0217645663411945,
            0.049720882106645485,
            -0.08611909400585223,
            -1.0219718528108965,
            0.05848999065952694,
            -0.08050456567230074,
            -1.0221948541613286,
            0.06663307845822225,
            -0.07400353083729709,
            -1.0224239783356244,
            0.07405885570824722,
            -0.06668289319577596,
            -1.0226492231266056,
            0.08068262299699783,
            -0.05861935687834229,
            -1.0228606088866954,
            0.08642750800507182,
            -0.0498989450121167,
            -1.0230486360302904,
            0.09122572100652544,
            -0.04061630783005863,
            -1.0232047444570471,
            0.09501977735966195,
            -0.030873797195819775,
            -1.0233217475433947,
            0.09776362550651202,
            -0.020780300094059834,
            -1.0233942111516812,
            0.09942361484430405,
            -0.01044984300555973,
            -1.0234187491004776,
            0.09997924077295096,
            -1.132872555112933e-16,
            -1.0338333009442624,
            0.06761828407913724,
            0,
            -1.0338214886362722,
            0.06724536701469723,
            0.007067772875239497,
            -1.0337865855278605,
            0.06613094965653363,
            0.014056567278966117,
            -1.033730166613236,
            0.06428796074848471,
            0.020888424677830655,
            -1.0336547704373744,
            0.06173770920572192,
            0.02748739910362428,
            -1.0335637752931452,
            0.05850953765751525,
            0.03378049731672697,
            -1.033461236983653,
            0.054640360135824566,
            0.03969854538420532,
            -1.0333516978467727,
            0.05017410374701197,
            0.04517696593282899,
            -1.033239977789096,
            0.045161076201182475,
            0.05015645641218808,
            -1.03313095823169,
            0.03965728114556555,
            0.05458356478379877,
            -1.033029369257992,
            0.033723701562043025,
            0.05841116452474841,
            -1.0329395890796487,
            0.027425568426639565,
            0.06159883523145883,
            -1.0328654634344603,
            0.020831627868918224,
            0.06411315814473081,
            -1.0328101509242886,
            0.014013415710260931,
            0.06592793748713201,
            -1.0327759987670802,
            0.007044543960990029,
            0.0670243586586519,
            -1.0327644520891854,
            1.909034300575319e-17,
            0.06739109324155713,
            -1.0327759987670802,
            -0.0070445439609900205,
            0.06702435865865192,
            -1.0328101509242886,
            -0.014013415710260936,
            0.06592793748713201,
            -1.0328654634344603,
            -0.020831627868918217,
            0.06411315814473083,
            -1.0329395890796487,
            -0.027425568426639547,
            0.061598835231458836,
            -1.033029369257992,
            -0.033723701562043004,
            0.05841116452474842,
            -1.03313095823169,
            -0.03965728114556554,
            0.05458356478379877,
            -1.033239977789096,
            -0.04516107620118245,
            0.0501564564121881,
            -1.0333516978467727,
            -0.050174103747011964,
            0.045176965932829,
            -1.033461236983653,
            -0.054640360135824566,
            0.039698545384205336,
            -1.0335637752931452,
            -0.05850953765751525,
            0.03378049731672697,
            -1.0336547704373744,
            -0.06173770920572193,
            0.027487399103624268,
            -1.033730166613236,
            -0.06428796074848471,
            0.020888424677830662,
            -1.0337865855278605,
            -0.06613094965653363,
            0.014056567278966117,
            -1.0338214886362722,
            -0.06724536701469724,
            0.007067772875239486,
            -1.0338333009442624,
            -0.06761828407913724,
            3.830940186425631e-17,
            -1.0338214886362722,
            -0.06724536701469724,
            -0.00706777287523947,
            -1.0337865855278605,
            -0.06613094965653363,
            -0.014056567278966097,
            -1.033730166613236,
            -0.06428796074848471,
            -0.020888424677830645,
            -1.0336547704373744,
            -0.06173770920572192,
            -0.02748739910362428,
            -1.0335637752931452,
            -0.05850953765751526,
            -0.03378049731672696,
            -1.033461236983653,
            -0.054640360135824566,
            -0.039698545384205315,
            -1.0333516978467727,
            -0.05017410374701197,
            -0.04517696593282899,
            -1.033239977789096,
            -0.04516107620118248,
            -0.05015645641218806,
            -1.03313095823169,
            -0.03965728114556556,
            -0.05458356478379877,
            -1.033029369257992,
            -0.033723701562043046,
            -0.0584111645247484,
            -1.0329395890796487,
            -0.0274255684266396,
            -0.06159883523145881,
            -1.0328654634344603,
            -0.02083162786891823,
            -0.06411315814473081,
            -1.0328101509242886,
            -0.01401341571026097,
            -0.06592793748713201,
            -1.0327759987670802,
            -0.007044543960990081,
            -0.0670243586586519,
            -1.0327644520891854,
            -1.2379542994397065e-17,
            -0.06739109324155713,
            -1.0327759987670802,
            0.007044543960989997,
            -0.06702435865865192,
            -1.0328101509242886,
            0.014013415710260943,
            -0.06592793748713201,
            -1.0328654634344603,
            0.020831627868918207,
            -0.06411315814473083,
            -1.0329395890796487,
            0.027425568426639523,
            -0.06159883523145884,
            -1.033029369257992,
            0.033723701562043025,
            -0.05841116452474841,
            -1.03313095823169,
            0.039657281145565534,
            -0.05458356478379878,
            -1.033239977789096,
            0.04516107620118248,
            -0.05015645641218806,
            -1.0333516978467727,
            0.05017410374701197,
            -0.04517696593282898,
            -1.033461236983653,
            0.054640360135824566,
            -0.039698545384205336,
            -1.0335637752931452,
            0.05850953765751526,
            -0.03378049731672695,
            -1.0336547704373744,
            0.06173770920572193,
            -0.02748739910362428,
            -1.033730166613236,
            0.06428796074848471,
            -0.02088842467783067,
            -1.0337865855278605,
            0.06613094965653363,
            -0.014056567278966094,
            -1.0338214886362722,
            0.06724536701469723,
            -0.0070677728752394945,
            -1.0338333009442624,
            0.06761828407913724,
            -7.661880372851262e-17,
            -1.040208046427252,
            0.03410566856821968,
            0,
            -1.0402049466385488,
            0.03391851013111837,
            0.003564979068682296,
            -1.0401957839388016,
            0.033359117206190135,
            0.007090699253695048,
            -1.040180962146725,
            0.03243371098788927,
            0.010538351521890858,
            -1.0401611339988348,
            0.0311525741864201,
            0.01387001964899646,
            -1.0401371717604526,
            0.029529924172744033,
            0.017049109670283,
            -1.0401101281174618,
            0.027583739373392587,
            0.02004075973618566,
            -1.040081189230062,
            0.025335542596005196,
            0.022812225017923272,
            -1.040051622163167,
            0.022810145611621892,
            0.025333233181343468,
            -1.0400227191163969,
            0.020035359720032092,
            0.02757630688878857,
            -1.0399957409575744,
            0.017041677182093255,
            0.02951705072557272,
            -1.039971862524198,
            0.013861928341942362,
            0.03113440081322763,
            -1.0399521220115662,
            0.010530919024313181,
            0.03241083611245436,
            -1.039937376532047,
            0.007085052431869301,
            0.03333255099820588,
            -1.0399282656269278,
            0.0035619393447890984,
            0.03388958909015828,
            -1.039925184159062,
            9.652927765264815e-18,
            0.03407593854583605,
            -1.0399282656269278,
            -0.0035619393447890936,
            0.03388958909015829,
            -1.039937376532047,
            -0.007085052431869305,
            0.03333255099820588,
            -1.0399521220115662,
            -0.010530919024313178,
            0.03241083611245436,
            -1.039971862524198,
            -0.013861928341942354,
            0.031134400813227634,
            -1.0399957409575744,
            -0.01704167718209324,
            0.029517050725572723,
            -1.0400227191163969,
            -0.02003535972003209,
            0.02757630688878857,
            -1.040051622163167,
            -0.022810145611621886,
            0.02533323318134348,
            -1.040081189230062,
            -0.025335542596005192,
            0.022812225017923283,
            -1.0401101281174618,
            -0.027583739373392584,
            0.020040759736185663,
            -1.0401371717604526,
            -0.029529924172744033,
            0.017049109670283,
            -1.0401611339988348,
            -0.031152574186420104,
            0.013870019648996456,
            -1.040180962146725,
            -0.03243371098788927,
            0.01053835152189086,
            -1.0401957839388016,
            -0.033359117206190135,
            0.007090699253695048,
            -1.0402049466385488,
            -0.03391851013111838,
            0.0035649790686822906,
            -1.040208046427252,
            -0.03410566856821968,
            1.9322699190353867e-17,
            -1.0402049466385488,
            -0.03391851013111838,
            -0.0035649790686822828,
            -1.0401957839388016,
            -0.033359117206190135,
            -0.00709069925369504,
            -1.040180962146725,
            -0.032433710987889275,
            -0.010538351521890853,
            -1.0401611339988348,
            -0.0311525741864201,
            -0.013870019648996463,
            -1.0401371717604526,
            -0.029529924172744037,
            -0.017049109670282992,
            -1.0401101281174618,
            -0.027583739373392587,
            -0.020040759736185652,
            -1.040081189230062,
            -0.025335542596005196,
            -0.022812225017923272,
            -1.040051622163167,
            -0.022810145611621903,
            -0.025333233181343465,
            -1.0400227191163969,
            -0.0200353597200321,
            -0.027576306888788565,
            -1.0399957409575744,
            -0.017041677182093266,
            -0.029517050725572716,
            -1.039971862524198,
            -0.013861928341942383,
            -0.031134400813227617,
            -1.0399521220115662,
            -0.010530919024313185,
            -0.03241083611245436,
            -1.039937376532047,
            -0.00708505243186932,
            -0.033332550998205875,
            -1.0399282656269278,
            -0.003561939344789125,
            -0.03388958909015828,
            -1.039925184159062,
            -6.259648360215004e-18,
            -0.03407593854583605,
            -1.0399282656269278,
            0.003561939344789082,
            -0.03388958909015829,
            -1.039937376532047,
            0.007085052431869308,
            -0.033332550998205875,
            -1.0399521220115662,
            0.010530919024313173,
            -0.03241083611245436,
            -1.039971862524198,
            0.013861928341942342,
            -0.031134400813227638,
            -1.0399957409575744,
            0.017041677182093255,
            -0.02951705072557272,
            -1.0400227191163969,
            0.020035359720032085,
            -0.027576306888788572,
            -1.040051622163167,
            0.022810145611621903,
            -0.025333233181343465,
            -1.040081189230062,
            0.025335542596005196,
            -0.02281222501792327,
            -1.0401101281174618,
            0.027583739373392584,
            -0.020040759736185666,
            -1.0401371717604526,
            0.029529924172744037,
            -0.017049109670282992,
            -1.0401611339988348,
            0.031152574186420104,
            -0.01387001964899646,
            -1.040180962146725,
            0.03243371098788927,
            -0.010538351521890865,
            -1.0401957839388016,
            0.033359117206190135,
            -0.007090699253695037,
            -1.0402049466385488,
            0.03391851013111837,
            -0.0035649790686822945,
            -1.040208046427252,
            0.03410566856821968,
            -3.8645398380707734e-17,
            -1.0423547380725153,
            1.8505941883808818e-16,
            0,
            -1.0423547380725153,
            1.8404564397860661e-16,
            1.9343976664350395e-17,
            -1.0423547380725153,
            1.8101542652966841e-16,
            3.847601667237881e-17,
            -1.0423547380725153,
            1.7600196618775783e-16,
            5.718650539012053e-17,
            -1.0423547380725153,
            1.6906019147351503e-16,
            7.527044678776248e-17,
            -1.0423547380725153,
            1.602661579233689e-16,
            9.252970941904408e-17,
            -1.0423547380725153,
            1.4971621480916465e-16,
            1.0877519719084412e-16,
            -1.0423547380725153,
            1.3752594951537906e-16,
            1.2382892113954784e-16,
            -1.0423547380725153,
            1.2382892113954784e-16,
            1.3752594951537906e-16,
            -1.0423547380725153,
            1.0877519719084412e-16,
            1.4971621480916465e-16,
            -1.0423547380725153,
            9.25297094190441e-17,
            1.6026615792336887e-16,
            -1.0423547380725153,
            7.527044678776252e-17,
            1.6906019147351503e-16,
            -1.0423547380725153,
            5.718650539012053e-17,
            1.7600196618775783e-16,
            -1.0423547380725153,
            3.84760166723788e-17,
            1.8101542652966841e-16,
            -1.0423547380725153,
            1.9343976664350395e-17,
            1.8404564397860661e-16,
            -1.0423547380725153,
            5.242306679016589e-32,
            1.8505941883808818e-16,
            -1.0423547380725153,
            -1.9343976664350373e-17,
            1.8404564397860661e-16,
            -1.0423547380725153,
            -3.847601667237882e-17,
            1.8101542652966841e-16,
            -1.0423547380725153,
            -5.718650539012051e-17,
            1.7600196618775786e-16,
            -1.0423547380725153,
            -7.527044678776247e-17,
            1.6906019147351503e-16,
            -1.0423547380725153,
            -9.252970941904404e-17,
            1.602661579233689e-16,
            -1.0423547380725153,
            -1.0877519719084408e-16,
            1.4971621480916465e-16,
            -1.0423547380725153,
            -1.238289211395478e-16,
            1.3752594951537908e-16,
            -1.0423547380725153,
            -1.37525949515379e-16,
            1.238289211395479e-16,
            -1.0423547380725153,
            -1.497162148091646e-16,
            1.0877519719084413e-16,
            -1.0423547380725153,
            -1.602661579233689e-16,
            9.252970941904408e-17,
            -1.0423547380725153,
            -1.6906019147351503e-16,
            7.527044678776246e-17,
            -1.0423547380725153,
            -1.7600196618775783e-16,
            5.718650539012055e-17,
            -1.0423547380725153,
            -1.8101542652966841e-16,
            3.847601667237881e-17,
            -1.0423547380725153,
            -1.8404564397860661e-16,
            1.9343976664350367e-17,
            -1.0423547380725153,
            -1.8505941883808818e-16,
            1.0484613358033179e-31,
            -1.0423547380725153,
            -1.8404564397860661e-16,
            -1.934397666435032e-17,
            -1.0423547380725153,
            -1.8101542652966841e-16,
            -3.847601667237876e-17,
            -1.0423547380725153,
            -1.7600196618775786e-16,
            -5.718650539012051e-17,
            -1.0423547380725153,
            -1.6906019147351503e-16,
            -7.527044678776248e-17,
            -1.0423547380725153,
            -1.602661579233689e-16,
            -9.252970941904404e-17,
            -1.0423547380725153,
            -1.4971621480916465e-16,
            -1.0877519719084408e-16,
            -1.0423547380725153,
            -1.3752594951537906e-16,
            -1.2382892113954784e-16,
            -1.0423547380725153,
            -1.238289211395479e-16,
            -1.37525949515379e-16,
            -1.0423547380725153,
            -1.0877519719084413e-16,
            -1.497162148091646e-16,
            -1.0423547380725153,
            -9.252970941904416e-17,
            -1.6026615792336882e-16,
            -1.0423547380725153,
            -7.527044678776263e-17,
            -1.6906019147351496e-16,
            -1.0423547380725153,
            -5.718650539012056e-17,
            -1.7600196618775783e-16,
            -1.0423547380725153,
            -3.84760166723789e-17,
            -1.8101542652966836e-16,
            -1.0423547380725153,
            -1.934397666435054e-17,
            -1.8404564397860661e-16,
            -1.0423547380725153,
            -3.399486373982011e-32,
            -1.8505941883808818e-16,
            -1.0423547380725153,
            1.934397666435031e-17,
            -1.8404564397860661e-16,
            -1.0423547380725153,
            3.8476016672378834e-17,
            -1.8101542652966836e-16,
            -1.0423547380725153,
            5.71865053901205e-17,
            -1.7600196618775786e-16,
            -1.0423547380725153,
            7.52704467877624e-17,
            -1.6906019147351506e-16,
            -1.0423547380725153,
            9.25297094190441e-17,
            -1.6026615792336887e-16,
            -1.0423547380725153,
            1.0877519719084407e-16,
            -1.4971621480916465e-16,
            -1.0423547380725153,
            1.238289211395479e-16,
            -1.37525949515379e-16,
            -1.0423547380725153,
            1.3752594951537906e-16,
            -1.2382892113954784e-16,
            -1.0423547380725153,
            1.497162148091646e-16,
            -1.0877519719084416e-16,
            -1.0423547380725153,
            1.602661579233689e-16,
            -9.252970941904403e-17,
            -1.0423547380725153,
            1.6906019147351503e-16,
            -7.527044678776248e-17,
            -1.0423547380725153,
            1.7600196618775783e-16,
            -5.718650539012057e-17,
            -1.0423547380725153,
            1.8101542652966841e-16,
            -3.847601667237875e-17,
            -1.0423547380725153,
            1.8404564397860661e-16,
            -1.9343976664350385e-17,
            -1.0423547380725153,
            1.8505941883808818e-16,
            -2.0969226716066358e-31
          ],
          "indices": [
            0,
            61,
            1,
            1,
            61,
            62,
            1,
            62,
            2,
            2,
            62,
            63,
            2,
            63,
            3,
            3,
            63,
            64,
            3,
            64,
            4,
            4,
            64,
            65,
            4,
            65,
            5,
            5,
            65,
            66,
            5,
            66,
            6,
            6,
            66,
            67,
            6,
            67,
            7,
            7,
            67,
            68,
            7,
            68,
            8,
            8,
            68,
            69,
            8,
            69,
            9,
            9,
            69,
            70,
            9,
            70,
            10,
            10,
            70,
            71,
            10,
            71,
            11,
            11,
            71,
            72,
            11,
            72,
            12,
            12,
            72,
            73,
            12,
            73,
            13,
            13,
            73,
            74,
            13,
            74,
            14,
            14,
            74,
            75,
            14,
            75,
            15,
            15,
            75,
            76,
            15,
            76,
            16,
            16,
            76,
            77,
            16,
            77,
            17,
            17,
            77,
            78,
            17,
            78,
            18,
            18,
            78,
            79,
            18,
            79,
            19,
            19,
            79,
            80,
            19,
            80,
            20,
            20,
            80,
            81,
            20,
            81,
            21,
            21,
            81,
            82,
            21,
            82,
            22,
            22,
            82,
            83,
            22,
            83,
            23,
            23,
            83,
            84,
            23,
            84,
            24,
            24,
            84,
            85,
            24,
            85,
            25,
            25,
            85,
            86,
            25,
            86,
            26,
            26,
            86,
            87,
            26,
            87,
            27,
            27,
            87,
            88,
            27,
            88,
            28,
            28,
            88,
            89,
            28,
            89,
            29,
            29,
            89,
            90,
            29,
            90,
            30,
            30,
            90,
            91,
            30,
            91,
            31,
            31,
            91,
            92,
            31,
            92,
            32,
            32,
            92,
            93,
            32,
            93,
            33,
            33,
            93,
            94,
            33,
            94,
            34,
            34,
            94,
            95,
            34,
            95,
            35,
            35,
            95,
            96,
            35,
            96,
            36,
            36,
            96,
            97,
            36,
            97,
            37,
            37,
            97,
            98,
            37,
            98,
            38,
            38,
            98,
            99,
            38,
            99,
            39,
            39,
            99,
            100,
            39,
            100,
            40,
            40,
            100,
            101,
            40,
            101,
            41,
            41,
            101,
            102,
            41,
            102,
            42,
            42,
            102,
            103,
            42,
            103,
            43,
            43,
            103,
            104,
            43,
            104,
            44,
            44,
            104,
            105,
            44,
            105,
            45,
            45,
            105,
            106,
            45,
            106,
            46,
            46,
            106,
            107,
            46,
            107,
            47,
            47,
            107,
            108,
            47,
            108,
            48,
            48,
            108,
            109,
            48,
            109,
            49,
            49,
            109,
            110,
            49,
            110,
            50,
            50,
            110,
            111,
            50,
            111,
            51,
            51,
            111,
            112,
            51,
            112,
            52,
            52,
            112,
            113,
            52,
            113,
            53,
            53,
            113,
            114,
            53,
            114,
            54,
            54,
            114,
            115,
            54,
            115,
            55,
            55,
            115,
            116,
            55,
            116,
            56,
            56,
            116,
            117,
            56,
            117,
            57,
            57,
            117,
            118,
            57,
            118,
            58,
            58,
            118,
            119,
            58,
            119,
            59,
            59,
            119,
            120,
            59,
            120,
            60,
            60,
            120,
            121,
            61,
            122,
            62,
            62,
            122,
            123,
            62,
            123,
            63,
            63,
            123,
            124,
            63,
            124,
            64,
            64,
            124,
            125,
            64,
            125,
            65,
            65,
            125,
            126,
            65,
            126,
            66,
            66,
            126,
            127,
            66,
            127,
            67,
            67,
            127,
            128,
            67,
            128,
            68,
            68,
            128,
            129,
            68,
            129,
            69,
            69,
            129,
            130,
            69,
            130,
            70,
            70,
            130,
            131,
            70,
            131,
            71,
            71,
            131,
            132,
            71,
            132,
            72,
            72,
            132,
            133,
            72,
            133,
            73,
            73,
            133,
            134,
            73,
            134,
            74,
            74,
            134,
            135,
            74,
            135,
            75,
            75,
            135,
            136,
            75,
            136,
            76,
            76,
            136,
            137,
            76,
            137,
            77,
            77,
            137,
            138,
            77,
            138,
            78,
            78,
            138,
            139,
            78,
            139,
            79,
            79,
            139,
            140,
            79,
            140,
            80,
            80,
            140,
            141,
            80,
            141,
            81,
            81,
            141,
            142,
            81,
            142,
            82,
            82,
            142,
            143,
            82,
            143,
            83,
            83,
            143,
            144,
            83,
            144,
            84,
            84,
            144,
            145,
            84,
            145,
            85,
            85,
            145,
            146,
            85,
            146,
            86,
            86,
            146,
            147,
            86,
            147,
            87,
            87,
            147,
            148,
            87,
            148,
            88,
            88,
            148,
            149,
            88,
            149,
            89,
            89,
            149,
            150,
            89,
            150,
            90,
            90,
            150,
            151,
            90,
            151,
            91,
            91,
            151,
            152,
            91,
            152,
            92,
            92,
            152,
            153,
            92,
            153,
            93,
            93,
            153,
            154,
            93,
            154,
            94,
            94,
            154,
            155,
            94,
            155,
            95,
            95,
            155,
            156,
            95,
            156,
            96,
            96,
            156,
            157,
            96,
            157,
            97,
            97,
            157,
            158,
            97,
            158,
            98,
            98,
            158,
            159,
            98,
            159,
            99,
            99,
            159,
            160,
            99,
            160,
            100,
            100,
            160,
            161,
            100,
            161,
            101,
            101,
            161,
            162,
            101,
            162,
            102,
            102,
            162,
            163,
            102,
            163,
            103,
            103,
            163,
            164,
            103,
            164,
            104,
            104,
            164,
            165,
            104,
            165,
            105,
            105,
            165,
            166,
            105,
            166,
            106,
            106,
            166,
            167,
            106,
            167,
            107,
            107,
            167,
            168,
            107,
            168,
            108,
            108,
            168,
            169,
            108,
            169,
            109,
            109,
            169,
            170,
            109,
            170,
            110,
            110,
            170,
            171,
            110,
            171,
            111,
            111,
            171,
            172,
            111,
            172,
            112,
            112,
            172,
            173,
            112,
            173,
            113,
            113,
            173,
            174,
            113,
            174,
            114,
            114,
            174,
            175,
            114,
            175,
            115,
            115,
            175,
            176,
            115,
            176,
            116,
            116,
            176,
            177,
            116,
            177,
            117,
            117,
            177,
            178,
            117,
            178,
            118,
            118,
            178,
            179,
            118,
            179,
            119,
            119,
            179,
            180,
            119,
            180,
            120,
            120,
            180,
            181,
            120,
            181,
            121,
            121,
            181,
            182,
            122,
            183,
            123,
            123,
            183,
            184,
            123,
            184,
            124,
            124,
            184,
            185,
            124,
            185,
            125,
            125,
            185,
            186,
            125,
            186,
            126,
            126,
            186,
            187,
            126,
            187,
            127,
            127,
            187,
            188,
            127,
            188,
            128,
            128,
            188,
            189,
            128,
            189,
            129,
            129,
            189,
            190,
            129,
            190,
            130,
            130,
            190,
            191,
            130,
            191,
            131,
            131,
            191,
            192,
            131,
            192,
            132,
            132,
            192,
            193,
            132,
            193,
            133,
            133,
            193,
            194,
            133,
            194,
            134,
            134,
            194,
            195,
            134,
            195,
            135,
            135,
            195,
            196,
            135,
            196,
            136,
            136,
            196,
            197,
            136,
            197,
            137,
            137,
            197,
            198,
            137,
            198,
            138,
            138,
            198,
            199,
            138,
            199,
            139,
            139,
            199,
            200,
            139,
            200,
            140,
            140,
            200,
            201,
            140,
            201,
            141,
            141,
            201,
            202,
            141,
            202,
            142,
            142,
            202,
            203,
            142,
            203,
            143,
            143,
            203,
            204,
            143,
            204,
            144,
            144,
            204,
            205,
            144,
            205,
            145,
            145,
            205,
            206,
            145,
            206,
            146,
            146,
            206,
            207,
            146,
            207,
            147,
            147,
            207,
            208,
            147,
            208,
            148,
            148,
            208,
            209,
            148,
            209,
            149,
            149,
            209,
            210,
            149,
            210,
            150,
            150,
            210,
            211,
            150,
            211,
            151,
            151,
            211,
            212,
            151,
            212,
            152,
            152,
            212,
            213,
            152,
            213,
            153,
            153,
            213,
            214,
            153,
            214,
            154,
            154,
            214,
            215,
            154,
            215,
            155,
            155,
            215,
            216,
            155,
            216,
            156,
            156,
            216,
            217,
            156,
            217,
            157,
            157,
            217,
            218,
            157,
            218,
            158,
            158,
            218,
            219,
            158,
            219,
            159,
            159,
            219,
            220,
            159,
            220,
            160,
            160,
            220,
            221,
            160,
            221,
            161,
            161,
            221,
            222,
            161,
            222,
            162,
            162,
            222,
            223,
            162,
            223,
            163,
            163,
            223,
            224,
            163,
            224,
            164,
            164,
            224,
            225,
            164,
            225,
            165,
            165,
            225,
            226,
            165,
            226,
            166,
            166,
            226,
            227,
            166,
            227,
            167,
            167,
            227,
            228,
            167,
            228,
            168,
            168,
            228,
            229,
            168,
            229,
            169,
            169,
            229,
            230,
            169,
            230,
            170,
            170,
            230,
            231,
            170,
            231,
            171,
            171,
            231,
            232,
            171,
            232,
            172,
            172,
            232,
            233,
            172,
            233,
            173,
            173,
            233,
            234,
            173,
            234,
            174,
            174,
            234,
            235,
            174,
            235,
            175,
            175,
            235,
            236,
            175,
            236,
            176,
            176,
            236,
            237,
            176,
            237,
            177,
            177,
            237,
            238,
            177,
            238,
            178,
            178,
            238,
            239,
            178,
            239,
            179,
            179,
            239,
            240,
            179,
            240,
            180,
            180,
            240,
            241,
            180,
            241,
            181,
            181,
            241,
            242,
            181,
            242,
            182,
            182,
            242,
            243,
            183,
            244,
            184,
            184,
            244,
            245,
            184,
            245,
            185,
            185,
            245,
            246,
            185,
            246,
            186,
            186,
            246,
            247,
            186,
            247,
            187,
            187,
            247,
            248,
            187,
            248,
            188,
            188,
            248,
            249,
            188,
            249,
            189,
            189,
            249,
            250,
            189,
            250,
            190,
            190,
            250,
            251,
            190,
            251,
            191,
            191,
            251,
            252,
            191,
            252,
            192,
            192,
            252,
            253,
            192,
            253,
            193,
            193,
            253,
            254,
            193,
            254,
            194,
            194,
            254,
            255,
            194,
            255,
            195,
            195,
            255,
            256,
            195,
            256,
            196,
            196,
            256,
            257,
            196,
            257,
            197,
            197,
            257,
            258,
            197,
            258,
            198,
            198,
            258,
            259,
            198,
            259,
            199,
            199,
            259,
            260,
            199,
            260,
            200,
            200,
            260,
            261,
            200,
            261,
            201,
            201,
            261,
            262,
            201,
            262,
            202,
            202,
            262,
            263,
            202,
            263,
            203,
            203,
            263,
            264,
            203,
            264,
            204,
            204,
            264,
            265,
            204,
            265,
            205,
            205,
            265,
            266,
            205,
            266,
            206,
            206,
            266,
            267,
            206,
            267,
            207,
            207,
            267,
            268,
            207,
            268,
            208,
            208,
            268,
            269,
            208,
            269,
            209,
            209,
            269,
            270,
            209,
            270,
            210,
            210,
            270,
            271,
            210,
            271,
            211,
            211,
            271,
            272,
            211,
            272,
            212,
            212,
            272,
            273,
            212,
            273,
            213,
            213,
            273,
            274,
            213,
            274,
            214,
            214,
            274,
            275,
            214,
            275,
            215,
            215,
            275,
            276,
            215,
            276,
            216,
            216,
            276,
            277,
            216,
            277,
            217,
            217,
            277,
            278,
            217,
            278,
            218,
            218,
            278,
            279,
            218,
            279,
            219,
            219,
            279,
            280,
            219,
            280,
            220,
            220,
            280,
            281,
            220,
            281,
            221,
            221,
            281,
            282,
            221,
            282,
            222,
            222,
            282,
            283,
            222,
            283,
            223,
            223,
            283,
            284,
            223,
            284,
            224,
            224,
            284,
            285,
            224,
            285,
            225,
            225,
            285,
            286,
            225,
            286,
            226,
            226,
            286,
            287,
            226,
            287,
            227,
            227,
            287,
            288,
            227,
            288,
            228,
            228,
            288,
            289,
            228,
            289,
            229,
            229,
            289,
            290,
            229,
            290,
            230,
            230,
            290,
            291,
            230,
            291,
            231,
            231,
            291,
            292,
            231,
            292,
            232,
            232,
            292,
            293,
            232,
            293,
            233,
            233,
            293,
            294,
            233,
            294,
            234,
            234,
            294,
            295,
            234,
            295,
            235,
            235,
            295,
            296,
            235,
            296,
            236,
            236,
            296,
            297,
            236,
            297,
            237,
            237,
            297,
            298,
            237,
            298,
            238,
            238,
            298,
            299,
            238,
            299,
            239,
            239,
            299,
            300,
            239,
            300,
            240,
            240,
            300,
            301,
            240,
            301,
            241,
            241,
            301,
            302,
            241,
            302,
            242,
            242,
            302,
            303,
            242,
            303,
            243,
            243,
            303,
            304,
            244,
            305,
            245,
            245,
            305,
            306,
            245,
            306,
            246,
            246,
            306,
            307,
            246,
            307,
            247,
            247,
            307,
            308,
            247,
            308,
            248,
            248,
            308,
            309,
            248,
            309,
            249,
            249,
            309,
            310,
            249,
            310,
            250,
            250,
            310,
            311,
            250,
            311,
            251,
            251,
            311,
            312,
            251,
            312,
            252,
            252,
            312,
            313,
            252,
            313,
            253,
            253,
            313,
            314,
            253,
            314,
            254,
            254,
            314,
            315,
            254,
            315,
            255,
            255,
            315,
            316,
            255,
            316,
            256,
            256,
            316,
            317,
            256,
            317,
            257,
            257,
            317,
            318,
            257,
            318,
            258,
            258,
            318,
            319,
            258,
            319,
            259,
            259,
            319,
            320,
            259,
            320,
            260,
            260,
            320,
            321,
            260,
            321,
            261,
            261,
            321,
            322,
            261,
            322,
            262,
            262,
            322,
            323,
            262,
            323,
            263,
            263,
            323,
            324,
            263,
            324,
            264,
            264,
            324,
            325,
            264,
            325,
            265,
            265,
            325,
            326,
            265,
            326,
            266,
            266,
            326,
            327,
            266,
            327,
            267,
            267,
            327,
            328,
            267,
            328,
            268,
            268,
            328,
            329,
            268,
            329,
            269,
            269,
            329,
            330,
            269,
            330,
            270,
            270,
            330,
            331,
            270,
            331,
            271,
            271,
            331,
            332,
            271,
            332,
            272,
            272,
            332,
            333,
            272,
            333,
            273,
            273,
            333,
            334,
            273,
            334,
            274,
            274,
            334,
            335,
            274,
            335,
            275,
            275,
            335,
            336,
            275,
            336,
            276,
            276,
            336,
            337,
            276,
            337,
            277,
            277,
            337,
            338,
            277,
            338,
            278,
            278,
            338,
            339,
            278,
            339,
            279,
            279,
            339,
            340,
            279,
            340,
            280,
            280,
            340,
            341,
            280,
            341,
            281,
            281,
            341,
            342,
            281,
            342,
            282,
            282,
            342,
            343,
            282,
            343,
            283,
            283,
            343,
            344,
            283,
            344,
            284,
            284,
            344,
            345,
            284,
            345,
            285,
            285,
            345,
            346,
            285,
            346,
            286,
            286,
            346,
            347,
            286,
            347,
            287,
            287,
            347,
            348,
            287,
            348,
            288,
            288,
            348,
            349,
            288,
            349,
            289,
            289,
            349,
            350,
            289,
            350,
            290,
            290,
            350,
            351,
            290,
            351,
            291,
            291,
            351,
            352,
            291,
            352,
            292,
            292,
            352,
            353,
            292,
            353,
            293,
            293,
            353,
            354,
            293,
            354,
            294,
            294,
            354,
            355,
            294,
            355,
            295,
            295,
            355,
            356,
            295,
            356,
            296,
            296,
            356,
            357,
            296,
            357,
            297,
            297,
            357,
            358,
            297,
            358,
            298,
            298,
            358,
            359,
            298,
            359,
            299,
            299,
            359,
            360,
            299,
            360,
            300,
            300,
            360,
            361,
            300,
            361,
            301,
            301,
            361,
            362,
            301,
            362,
            302,
            302,
            362,
            363,
            302,
            363,
            303,
            303,
            363,
            364,
            303,
            364,
            304,
            304,
            364,
            365,
            305,
            366,
            306,
            306,
            366,
            367,
            306,
            367,
            307,
            307,
            367,
            368,
            307,
            368,
            308,
            308,
            368,
            369,
            308,
            369,
            309,
            309,
            369,
            370,
            309,
            370,
            310,
            310,
            370,
            371,
            310,
            371,
            311,
            311,
            371,
            372,
            311,
            372,
            312,
            312,
            372,
            373,
            312,
            373,
            313,
            313,
            373,
            374,
            313,
            374,
            314,
            314,
            374,
            375,
            314,
            375,
            315,
            315,
            375,
            376,
            315,
            376,
            316,
            316,
            376,
            377,
            316,
            377,
            317,
            317,
            377,
            378,
            317,
            378,
            318,
            318,
            378,
            379,
            318,
            379,
            319,
            319,
            379,
            380,
            319,
            380,
            320,
            320,
            380,
            381,
            320,
            381,
            321,
            321,
            381,
            382,
            321,
            382,
            322,
            322,
            382,
            383,
            322,
            383,
            323,
            323,
            383,
            384,
            323,
            384,
            324,
            324,
            384,
            385,
            324,
            385,
            325,
            325,
            385,
            386,
            325,
            386,
            326,
            326,
            386,
            387,
            326,
            387,
            327,
            327,
            387,
            388,
            327,
            388,
            328,
            328,
            388,
            389,
            328,
            389,
            329,
            329,
            389,
            390,
            329,
            390,
            330,
            330,
            390,
            391,
            330,
            391,
            331,
            331,
            391,
            392,
            331,
            392,
            332,
            332,
            392,
            393,
            332,
            393,
            333,
            333,
            393,
            394,
            333,
            394,
            334,
            334,
            394,
            395,
            334,
            395,
            335,
            335,
            395,
            396,
            335,
            396,
            336,
            336,
            396,
            397,
            336,
            397,
            337,
            337,
            397,
            398,
            337,
            398,
            338,
            338,
            398,
            399,
            338,
            399,
            339,
            339,
            399,
            400,
            339,
            400,
            340,
            340,
            400,
            401,
            340,
            401,
            341,
            341,
            401,
            402,
            341,
            402,
            342,
            342,
            402,
            403,
            342,
            403,
            343,
            343,
            403,
            404,
            343,
            404,
            344,
            344,
            404,
            405,
            344,
            405,
            345,
            345,
            405,
            406,
            345,
            406,
            346,
            346,
            406,
            407,
            346,
            407,
            347,
            347,
            407,
            408,
            347,
            408,
            348,
            348,
            408,
            409,
            348,
            409,
            349,
            349,
            409,
            410,
            349,
            410,
            350,
            350,
            410,
            411,
            350,
            411,
            351,
            351,
            411,
            412,
            351,
            412,
            352,
            352,
            412,
            413,
            352,
            413,
            353,
            353,
            413,
            414,
            353,
            414,
            354,
            354,
            414,
            415,
            354,
            415,
            355,
            355,
            415,
            416,
            355,
            416,
            356,
            356,
            416,
            417,
            356,
            417,
            357,
            357,
            417,
            418,
            357,
            418,
            358,
            358,
            418,
            419,
            358,
            419,
            359,
            359,
            419,
            420,
            359,
            420,
            360,
            360,
            420,
            421,
            360,
            421,
            361,
            361,
            421,
            422,
            361,
            422,
            362,
            362,
            422,
            423,
            362,
            423,
            363,
            363,
            423,
            424,
            363,
            424,
            364,
            364,
            424,
            425,
            364,
            425,
            365,
            365,
            425,
            426,
            366,
            427,
            367,
            367,
            427,
            428,
            367,
            428,
            368,
            368,
            428,
            429,
            368,
            429,
            369,
            369,
            429,
            430,
            369,
            430,
            370,
            370,
            430,
            431,
            370,
            431,
            371,
            371,
            431,
            432,
            371,
            432,
            372,
            372,
            432,
            433,
            372,
            433,
            373,
            373,
            433,
            434,
            373,
            434,
            374,
            374,
            434,
            435,
            374,
            435,
            375,
            375,
            435,
            436,
            375,
            436,
            376,
            376,
            436,
            437,
            376,
            437,
            377,
            377,
            437,
            438,
            377,
            438,
            378,
            378,
            438,
            439,
            378,
            439,
            379,
            379,
            439,
            440,
            379,
            440,
            380,
            380,
            440,
            441,
            380,
            441,
            381,
            381,
            441,
            442,
            381,
            442,
            382,
            382,
            442,
            443,
            382,
            443,
            383,
            383,
            443,
            444,
            383,
            444,
            384,
            384,
            444,
            445,
            384,
            445,
            385,
            385,
            445,
            446,
            385,
            446,
            386,
            386,
            446,
            447,
            386,
            447,
            387,
            387,
            447,
            448,
            387,
            448,
            388,
            388,
            448,
            449,
            388,
            449,
            389,
            389,
            449,
            450,
            389,
            450,
            390,
            390,
            450,
            451,
            390,
            451,
            391,
            391,
            451,
            452,
            391,
            452,
            392,
            392,
            452,
            453,
            392,
            453,
            393,
            393,
            453,
            454,
            393,
            454,
            394,
            394,
            454,
            455,
            394,
            455,
            395,
            395,
            455,
            456,
            395,
            456,
            396,
            396,
            456,
            457,
            396,
            457,
            397,
            397,
            457,
            458,
            397,
            458,
            398,
            398,
            458,
            459,
            398,
            459,
            399,
            399,
            459,
            460,
            399,
            460,
            400,
            400,
            460,
            461,
            400,
            461,
            401,
            401,
            461,
            462,
            401,
            462,
            402,
            402,
            462,
            463,
            402,
            463,
            403,
            403,
            463,
            464,
            403,
            464,
            404,
            404,
            464,
            465,
            404,
            465,
            405,
            405,
            465,
            466,
            405,
            466,
            406,
            406,
            466,
            467,
            406,
            467,
            407,
            407,
            467,
            468,
            407,
            468,
            408,
            408,
            468,
            469,
            408,
            469,
            409,
            409,
            469,
            470,
            409,
            470,
            410,
            410,
            470,
            471,
            410,
            471,
            411,
            411,
            471,
            472,
            411,
            472,
            412,
            412,
            472,
            473,
            412,
            473,
            413,
            413,
            473,
            474,
            413,
            474,
            414,
            414,
            474,
            475,
            414,
            475,
            415,
            415,
            475,
            476,
            415,
            476,
            416,
            416,
            476,
            477,
            416,
            477,
            417,
            417,
            477,
            478,
            417,
            478,
            418,
            418,
            478,
            479,
            418,
            479,
            419,
            419,
            479,
            480,
            419,
            480,
            420,
            420,
            480,
            481,
            420,
            481,
            421,
            421,
            481,
            482,
            421,
            482,
            422,
            422,
            482,
            483,
            422,
            483,
            423,
            423,
            483,
            484,
            423,
            484,
            424,
            424,
            484,
            485,
            424,
            485,
            425,
            425,
            485,
            486,
            425,
            486,
            426,
            426,
            486,
            487,
            427,
            488,
            428,
            428,
            488,
            489,
            428,
            489,
            429,
            429,
            489,
            490,
            429,
            490,
            430,
            430,
            490,
            491,
            430,
            491,
            431,
            431,
            491,
            492,
            431,
            492,
            432,
            432,
            492,
            493,
            432,
            493,
            433,
            433,
            493,
            494,
            433,
            494,
            434,
            434,
            494,
            495,
            434,
            495,
            435,
            435,
            495,
            496,
            435,
            496,
            436,
            436,
            496,
            497,
            436,
            497,
            437,
            437,
            497,
            498,
            437,
            498,
            438,
            438,
            498,
            499,
            438,
            499,
            439,
            439,
            499,
            500,
            439,
            500,
            440,
            440,
            500,
            501,
            440,
            501,
            441,
            441,
            501,
            502,
            441,
            502,
            442,
            442,
            502,
            503,
            442,
            503,
            443,
            443,
            503,
            504,
            443,
            504,
            444,
            444,
            504,
            505,
            444,
            505,
            445,
            445,
            505,
            506,
            445,
            506,
            446,
            446,
            506,
            507,
            446,
            507,
            447,
            447,
            507,
            508,
            447,
            508,
            448,
            448,
            508,
            509,
            448,
            509,
            449,
            449,
            509,
            510,
            449,
            510,
            450,
            450,
            510,
            511,
            450,
            511,
            451,
            451,
            511,
            512,
            451,
            512,
            452,
            452,
            512,
            513,
            452,
            513,
            453,
            453,
            513,
            514,
            453,
            514,
            454,
            454,
            514,
            515,
            454,
            515,
            455,
            455,
            515,
            516,
            455,
            516,
            456,
            456,
            516,
            517,
            456,
            517,
            457,
            457,
            517,
            518,
            457,
            518,
            458,
            458,
            518,
            519,
            458,
            519,
            459,
            459,
            519,
            520,
            459,
            520,
            460,
            460,
            520,
            521,
            460,
            521,
            461,
            461,
            521,
            522,
            461,
            522,
            462,
            462,
            522,
            523,
            462,
            523,
            463,
            463,
            523,
            524,
            463,
            524,
            464,
            464,
            524,
            525,
            464,
            525,
            465,
            465,
            525,
            526,
            465,
            526,
            466,
            466,
            526,
            527,
            466,
            527,
            467,
            467,
            527,
            528,
            467,
            528,
            468,
            468,
            528,
            529,
            468,
            529,
            469,
            469,
            529,
            530,
            469,
            530,
            470,
            470,
            530,
            531,
            470,
            531,
            471,
            471,
            531,
            532,
            471,
            532,
            472,
            472,
            532,
            533,
            472,
            533,
            473,
            473,
            533,
            534,
            473,
            534,
            474,
            474,
            534,
            535,
            474,
            535,
            475,
            475,
            535,
            536,
            475,
            536,
            476,
            476,
            536,
            537,
            476,
            537,
            477,
            477,
            537,
            538,
            477,
            538,
            478,
            478,
            538,
            539,
            478,
            539,
            479,
            479,
            539,
            540,
            479,
            540,
            480,
            480,
            540,
            541,
            480,
            541,
            481,
            481,
            541,
            542,
            481,
            542,
            482,
            482,
            542,
            543,
            482,
            543,
            483,
            483,
            543,
            544,
            483,
            544,
            484,
            484,
            544,
            545,
            484,
            545,
            485,
            485,
            545,
            546,
            485,
            546,
            486,
            486,
            546,
            547,
            486,
            547,
            487,
            487,
            547,
            548,
            488,
            549,
            489,
            489,
            549,
            550,
            489,
            550,
            490,
            490,
            550,
            551,
            490,
            551,
            491,
            491,
            551,
            552,
            491,
            552,
            492,
            492,
            552,
            553,
            492,
            553,
            493,
            493,
            553,
            554,
            493,
            554,
            494,
            494,
            554,
            555,
            494,
            555,
            495,
            495,
            555,
            556,
            495,
            556,
            496,
            496,
            556,
            557,
            496,
            557,
            497,
            497,
            557,
            558,
            497,
            558,
            498,
            498,
            558,
            559,
            498,
            559,
            499,
            499,
            559,
            560,
            499,
            560,
            500,
            500,
            560,
            561,
            500,
            561,
            501,
            501,
            561,
            562,
            501,
            562,
            502,
            502,
            562,
            563,
            502,
            563,
            503,
            503,
            563,
            564,
            503,
            564,
            504,
            504,
            564,
            565,
            504,
            565,
            505,
            505,
            565,
            566,
            505,
            566,
            506,
            506,
            566,
            567,
            506,
            567,
            507,
            507,
            567,
            568,
            507,
            568,
            508,
            508,
            568,
            569,
            508,
            569,
            509,
            509,
            569,
            570,
            509,
            570,
            510,
            510,
            570,
            571,
            510,
            571,
            511,
            511,
            571,
            572,
            511,
            572,
            512,
            512,
            572,
            573,
            512,
            573,
            513,
            513,
            573,
            574,
            513,
            574,
            514,
            514,
            574,
            575,
            514,
            575,
            515,
            515,
            575,
            576,
            515,
            576,
            516,
            516,
            576,
            577,
            516,
            577,
            517,
            517,
            577,
            578,
            517,
            578,
            518,
            518,
            578,
            579,
            518,
            579,
            519,
            519,
            579,
            580,
            519,
            580,
            520,
            520,
            580,
            581,
            520,
            581,
            521,
            521,
            581,
            582,
            521,
            582,
            522,
            522,
            582,
            583,
            522,
            583,
            523,
            523,
            583,
            584,
            523,
            584,
            524,
            524,
            584,
            585,
            524,
            585,
            525,
            525,
            585,
            586,
            525,
            586,
            526,
            526,
            586,
            587,
            526,
            587,
            527,
            527,
            587,
            588,
            527,
            588,
            528,
            528,
            588,
            589,
            528,
            589,
            529,
            529,
            589,
            590,
            529,
            590,
            530,
            530,
            590,
            591,
            530,
            591,
            531,
            531,
            591,
            592,
            531,
            592,
            532,
            532,
            592,
            593,
            532,
            593,
            533,
            533,
            593,
            594,
            533,
            594,
            534,
            534,
            594,
            595,
            534,
            595,
            535,
            535,
            595,
            596,
            535,
            596,
            536,
            536,
            596,
            597,
            536,
            597,
            537,
            537,
            597,
            598,
            537,
            598,
            538,
            538,
            598,
            599,
            538,
            599,
            539,
            539,
            599,
            600,
            539,
            600,
            540,
            540,
            600,
            601,
            540,
            601,
            541,
            541,
            601,
            602,
            541,
            602,
            542,
            542,
            602,
            603,
            542,
            603,
            543,
            543,
            603,
            604,
            543,
            604,
            544,
            544,
            604,
            605,
            544,
            605,
            545,
            545,
            605,
            606,
            545,
            606,
            546,
            546,
            606,
            607,
            546,
            607,
            547,
            547,
            607,
            608,
            547,
            608,
            548,
            548,
            608,
            609,
            549,
            610,
            550,
            550,
            610,
            611,
            550,
            611,
            551,
            551,
            611,
            612,
            551,
            612,
            552,
            552,
            612,
            613,
            552,
            613,
            553,
            553,
            613,
            614,
            553,
            614,
            554,
            554,
            614,
            615,
            554,
            615,
            555,
            555,
            615,
            616,
            555,
            616,
            556,
            556,
            616,
            617,
            556,
            617,
            557,
            557,
            617,
            618,
            557,
            618,
            558,
            558,
            618,
            619,
            558,
            619,
            559,
            559,
            619,
            620,
            559,
            620,
            560,
            560,
            620,
            621,
            560,
            621,
            561,
            561,
            621,
            622,
            561,
            622,
            562,
            562,
            622,
            623,
            562,
            623,
            563,
            563,
            623,
            624,
            563,
            624,
            564,
            564,
            624,
            625,
            564,
            625,
            565,
            565,
            625,
            626,
            565,
            626,
            566,
            566,
            626,
            627,
            566,
            627,
            567,
            567,
            627,
            628,
            567,
            628,
            568,
            568,
            628,
            629,
            568,
            629,
            569,
            569,
            629,
            630,
            569,
            630,
            570,
            570,
            630,
            631,
            570,
            631,
            571,
            571,
            631,
            632,
            571,
            632,
            572,
            572,
            632,
            633,
            572,
            633,
            573,
            573,
            633,
            634,
            573,
            634,
            574,
            574,
            634,
            635,
            574,
            635,
            575,
            575,
            635,
            636,
            575,
            636,
            576,
            576,
            636,
            637,
            576,
            637,
            577,
            577,
            637,
            638,
            577,
            638,
            578,
            578,
            638,
            639,
            578,
            639,
            579,
            579,
            639,
            640,
            579,
            640,
            580,
            580,
            640,
            641,
            580,
            641,
            581,
            581,
            641,
            642,
            581,
            642,
            582,
            582,
            642,
            643,
            582,
            643,
            583,
            583,
            643,
            644,
            583,
            644,
            584,
            584,
            644,
            645,
            584,
            645,
            585,
            585,
            645,
            646,
            585,
            646,
            586,
            586,
            646,
            647,
            586,
            647,
            587,
            587,
            647,
            648,
            587,
            648,
            588,
            588,
            648,
            649,
            588,
            649,
            589,
            589,
            649,
            650,
            589,
            650,
            590,
            590,
            650,
            651,
            590,
            651,
            591,
            591,
            651,
            652,
            591,
            652,
            592,
            592,
            652,
            653,
            592,
            653,
            593,
            593,
            653,
            654,
            593,
            654,
            594,
            594,
            654,
            655,
            594,
            655,
            595,
            595,
            655,
            656,
            595,
            656,
            596,
            596,
            656,
            657,
            596,
            657,
            597,
            597,
            657,
            658,
            597,
            658,
            598,
            598,
            658,
            659,
            598,
            659,
            599,
            599,
            659,
            660,
            599,
            660,
            600,
            600,
            660,
            661,
            600,
            661,
            601,
            601,
            661,
            662,
            601,
            662,
            602,
            602,
            662,
            663,
            602,
            663,
            603,
            603,
            663,
            664,
            603,
            664,
            604,
            604,
            664,
            665,
            604,
            665,
            605,
            605,
            665,
            666,
            605,
            666,
            606,
            606,
            666,
            667,
            606,
            667,
            607,
            607,
            667,
            668,
            607,
            668,
            608,
            608,
            668,
            669,
            608,
            669,
            609,
            609,
            669,
            670,
            610,
            671,
            611,
            611,
            671,
            672,
            611,
            672,
            612,
            612,
            672,
            673,
            612,
            673,
            613,
            613,
            673,
            674,
            613,
            674,
            614,
            614,
            674,
            675,
            614,
            675,
            615,
            615,
            675,
            676,
            615,
            676,
            616,
            616,
            676,
            677,
            616,
            677,
            617,
            617,
            677,
            678,
            617,
            678,
            618,
            618,
            678,
            679,
            618,
            679,
            619,
            619,
            679,
            680,
            619,
            680,
            620,
            620,
            680,
            681,
            620,
            681,
            621,
            621,
            681,
            682,
            621,
            682,
            622,
            622,
            682,
            683,
            622,
            683,
            623,
            623,
            683,
            684,
            623,
            684,
            624,
            624,
            684,
            685,
            624,
            685,
            625,
            625,
            685,
            686,
            625,
            686,
            626,
            626,
            686,
            687,
            626,
            687,
            627,
            627,
            687,
            688,
            627,
            688,
            628,
            628,
            688,
            689,
            628,
            689,
            629,
            629,
            689,
            690,
            629,
            690,
            630,
            630,
            690,
            691,
            630,
            691,
            631,
            631,
            691,
            692,
            631,
            692,
            632,
            632,
            692,
            693,
            632,
            693,
            633,
            633,
            693,
            694,
            633,
            694,
            634,
            634,
            694,
            695,
            634,
            695,
            635,
            635,
            695,
            696,
            635,
            696,
            636,
            636,
            696,
            697,
            636,
            697,
            637,
            637,
            697,
            698,
            637,
            698,
            638,
            638,
            698,
            699,
            638,
            699,
            639,
            639,
            699,
            700,
            639,
            700,
            640,
            640,
            700,
            701,
            640,
            701,
            641,
            641,
            701,
            702,
            641,
            702,
            642,
            642,
            702,
            703,
            642,
            703,
            643,
            643,
            703,
            704,
            643,
            704,
            644,
            644,
            704,
            705,
            644,
            705,
            645,
            645,
            705,
            706,
            645,
            706,
            646,
            646,
            706,
            707,
            646,
            707,
            647,
            647,
            707,
            708,
            647,
            708,
            648,
            648,
            708,
            709,
            648,
            709,
            649,
            649,
            709,
            710,
            649,
            710,
            650,
            650,
            710,
            711,
            650,
            711,
            651,
            651,
            711,
            712,
            651,
            712,
            652,
            652,
            712,
            713,
            652,
            713,
            653,
            653,
            713,
            714,
            653,
            714,
            654,
            654,
            714,
            715,
            654,
            715,
            655,
            655,
            715,
            716,
            655,
            716,
            656,
            656,
            716,
            717,
            656,
            717,
            657,
            657,
            717,
            718,
            657,
            718,
            658,
            658,
            718,
            719,
            658,
            719,
            659,
            659,
            719,
            720,
            659,
            720,
            660,
            660,
            720,
            721,
            660,
            721,
            661,
            661,
            721,
            722,
            661,
            722,
            662,
            662,
            722,
            723,
            662,
            723,
            663,
            663,
            723,
            724,
            663,
            724,
            664,
            664,
            724,
            725,
            664,
            725,
            665,
            665,
            725,
            726,
            665,
            726,
            666,
            666,
            726,
            727,
            666,
            727,
            667,
            667,
            727,
            728,
            667,
            728,
            668,
            668,
            728,
            729,
            668,
            729,
            669,
            669,
            729,
            730,
            669,
            730,
            670,
            670,
            730,
            731,
            671,
            732,
            672,
            672,
            732,
            733,
            672,
            733,
            673,
            673,
            733,
            734,
            673,
            734,
            674,
            674,
            734,
            735,
            674,
            735,
            675,
            675,
            735,
            736,
            675,
            736,
            676,
            676,
            736,
            737,
            676,
            737,
            677,
            677,
            737,
            738,
            677,
            738,
            678,
            678,
            738,
            739,
            678,
            739,
            679,
            679,
            739,
            740,
            679,
            740,
            680,
            680,
            740,
            741,
            680,
            741,
            681,
            681,
            741,
            742,
            681,
            742,
            682,
            682,
            742,
            743,
            682,
            743,
            683,
            683,
            743,
            744,
            683,
            744,
            684,
            684,
            744,
            745,
            684,
            745,
            685,
            685,
            745,
            746,
            685,
            746,
            686,
            686,
            746,
            747,
            686,
            747,
            687,
            687,
            747,
            748,
            687,
            748,
            688,
            688,
            748,
            749,
            688,
            749,
            689,
            689,
            749,
            750,
            689,
            750,
            690,
            690,
            750,
            751,
            690,
            751,
            691,
            691,
            751,
            752,
            691,
            752,
            692,
            692,
            752,
            753,
            692,
            753,
            693,
            693,
            753,
            754,
            693,
            754,
            694,
            694,
            754,
            755,
            694,
            755,
            695,
            695,
            755,
            756,
            695,
            756,
            696,
            696,
            756,
            757,
            696,
            757,
            697,
            697,
            757,
            758,
            697,
            758,
            698,
            698,
            758,
            759,
            698,
            759,
            699,
            699,
            759,
            760,
            699,
            760,
            700,
            700,
            760,
            761,
            700,
            761,
            701,
            701,
            761,
            762,
            701,
            762,
            702,
            702,
            762,
            763,
            702,
            763,
            703,
            703,
            763,
            764,
            703,
            764,
            704,
            704,
            764,
            765,
            704,
            765,
            705,
            705,
            765,
            766,
            705,
            766,
            706,
            706,
            766,
            767,
            706,
            767,
            707,
            707,
            767,
            768,
            707,
            768,
            708,
            708,
            768,
            769,
            708,
            769,
            709,
            709,
            769,
            770,
            709,
            770,
            710,
            710,
            770,
            771,
            710,
            771,
            711,
            711,
            771,
            772,
            711,
            772,
            712,
            712,
            772,
            773,
            712,
            773,
            713,
            713,
            773,
            774,
            713,
            774,
            714,
            714,
            774,
            775,
            714,
            775,
            715,
            715,
            775,
            776,
            715,
            776,
            716,
            716,
            776,
            777,
            716,
            777,
            717,
            717,
            777,
            778,
            717,
            778,
            718,
            718,
            778,
            779,
            718,
            779,
            719,
            719,
            779,
            780,
            719,
            780,
            720,
            720,
            780,
            781,
            720,
            781,
            721,
            721,
            781,
            782,
            721,
            782,
            722,
            722,
            782,
            783,
            722,
            783,
            723,
            723,
            783,
            784,
            723,
            784,
            724,
            724,
            784,
            785,
            724,
            785,
            725,
            725,
            785,
            786,
            725,
            786,
            726,
            726,
            786,
            787,
            726,
            787,
            727,
            727,
            787,
            788,
            727,
            788,
            728,
            728,
            788,
            789,
            728,
            789,
            729,
            729,
            789,
            790,
            729,
            790,
            730,
            730,
            790,
            791,
            730,
            791,
            731,
            731,
            791,
            792,
            732,
            793,
            733,
            733,
            793,
            794,
            733,
            794,
            734,
            734,
            794,
            795,
            734,
            795,
            735,
            735,
            795,
            796,
            735,
            796,
            736,
            736,
            796,
            797,
            736,
            797,
            737,
            737,
            797,
            798,
            737,
            798,
            738,
            738,
            798,
            799,
            738,
            799,
            739,
            739,
            799,
            800,
            739,
            800,
            740,
            740,
            800,
            801,
            740,
            801,
            741,
            741,
            801,
            802,
            741,
            802,
            742,
            742,
            802,
            803,
            742,
            803,
            743,
            743,
            803,
            804,
            743,
            804,
            744,
            744,
            804,
            805,
            744,
            805,
            745,
            745,
            805,
            806,
            745,
            806,
            746,
            746,
            806,
            807,
            746,
            807,
            747,
            747,
            807,
            808,
            747,
            808,
            748,
            748,
            808,
            809,
            748,
            809,
            749,
            749,
            809,
            810,
            749,
            810,
            750,
            750,
            810,
            811,
            750,
            811,
            751,
            751,
            811,
            812,
            751,
            812,
            752,
            752,
            812,
            813,
            752,
            813,
            753,
            753,
            813,
            814,
            753,
            814,
            754,
            754,
            814,
            815,
            754,
            815,
            755,
            755,
            815,
            816,
            755,
            816,
            756,
            756,
            816,
            817,
            756,
            817,
            757,
            757,
            817,
            818,
            757,
            818,
            758,
            758,
            818,
            819,
            758,
            819,
            759,
            759,
            819,
            820,
            759,
            820,
            760,
            760,
            820,
            821,
            760,
            821,
            761,
            761,
            821,
            822,
            761,
            822,
            762,
            762,
            822,
            823,
            762,
            823,
            763,
            763,
            823,
            824,
            763,
            824,
            764,
            764,
            824,
            825,
            764,
            825,
            765,
            765,
            825,
            826,
            765,
            826,
            766,
            766,
            826,
            827,
            766,
            827,
            767,
            767,
            827,
            828,
            767,
            828,
            768,
            768,
            828,
            829,
            768,
            829,
            769,
            769,
            829,
            830,
            769,
            830,
            770,
            770,
            830,
            831,
            770,
            831,
            771,
            771,
            831,
            832,
            771,
            832,
            772,
            772,
            832,
            833,
            772,
            833,
            773,
            773,
            833,
            834,
            773,
            834,
            774,
            774,
            834,
            835,
            774,
            835,
            775,
            775,
            835,
            836,
            775,
            836,
            776,
            776,
            836,
            837,
            776,
            837,
            777,
            777,
            837,
            838,
            777,
            838,
            778,
            778,
            838,
            839,
            778,
            839,
            779,
            779,
            839,
            840,
            779,
            840,
            780,
            780,
            840,
            841,
            780,
            841,
            781,
            781,
            841,
            842,
            781,
            842,
            782,
            782,
            842,
            843,
            782,
            843,
            783,
            783,
            843,
            844,
            783,
            844,
            784,
            784,
            844,
            845,
            784,
            845,
            785,
            785,
            845,
            846,
            785,
            846,
            786,
            786,
            846,
            847,
            786,
            847,
            787,
            787,
            847,
            848,
            787,
            848,
            788,
            788,
            848,
            849,
            788,
            849,
            789,
            789,
            849,
            850,
            789,
            850,
            790,
            790,
            850,
            851,
            790,
            851,
            791,
            791,
            851,
            852,
            791,
            852,
            792,
            792,
            852,
            853,
            793,
            854,
            794,
            794,
            854,
            855,
            794,
            855,
            795,
            795,
            855,
            856,
            795,
            856,
            796,
            796,
            856,
            857,
            796,
            857,
            797,
            797,
            857,
            858,
            797,
            858,
            798,
            798,
            858,
            859,
            798,
            859,
            799,
            799,
            859,
            860,
            799,
            860,
            800,
            800,
            860,
            861,
            800,
            861,
            801,
            801,
            861,
            862,
            801,
            862,
            802,
            802,
            862,
            863,
            802,
            863,
            803,
            803,
            863,
            864,
            803,
            864,
            804,
            804,
            864,
            865,
            804,
            865,
            805,
            805,
            865,
            866,
            805,
            866,
            806,
            806,
            866,
            867,
            806,
            867,
            807,
            807,
            867,
            868,
            807,
            868,
            808,
            808,
            868,
            869,
            808,
            869,
            809,
            809,
            869,
            870,
            809,
            870,
            810,
            810,
            870,
            871,
            810,
            871,
            811,
            811,
            871,
            872,
            811,
            872,
            812,
            812,
            872,
            873,
            812,
            873,
            813,
            813,
            873,
            874,
            813,
            874,
            814,
            814,
            874,
            875,
            814,
            875,
            815,
            815,
            875,
            876,
            815,
            876,
            816,
            816,
            876,
            877,
            816,
            877,
            817,
            817,
            877,
            878,
            817,
            878,
            818,
            818,
            878,
            879,
            818,
            879,
            819,
            819,
            879,
            880,
            819,
            880,
            820,
            820,
            880,
            881,
            820,
            881,
            821,
            821,
            881,
            882,
            821,
            882,
            822,
            822,
            882,
            883,
            822,
            883,
            823,
            823,
            883,
            884,
            823,
            884,
            824,
            824,
            884,
            885,
            824,
            885,
            825,
            825,
            885,
            886,
            825,
            886,
            826,
            826,
            886,
            887,
            826,
            887,
            827,
            827,
            887,
            888,
            827,
            888,
            828,
            828,
            888,
            889,
            828,
            889,
            829,
            829,
            889,
            890,
            829,
            890,
            830,
            830,
            890,
            891,
            830,
            891,
            831,
            831,
            891,
            892,
            831,
            892,
            832,
            832,
            892,
            893,
            832,
            893,
            833,
            833,
            893,
            894,
            833,
            894,
            834,
            834,
            894,
            895,
            834,
            895,
            835,
            835,
            895,
            896,
            835,
            896,
            836,
            836,
            896,
            897,
            836,
            897,
            837,
            837,
            897,
            898,
            837,
            898,
            838,
            838,
            898,
            899,
            838,
            899,
            839,
            839,
            899,
            900,
            839,
            900,
            840,
            840,
            900,
            901,
            840,
            901,
            841,
            841,
            901,
            902,
            841,
            902,
            842,
            842,
            902,
            903,
            842,
            903,
            843,
            843,
            903,
            904,
            843,
            904,
            844,
            844,
            904,
            905,
            844,
            905,
            845,
            845,
            905,
            906,
            845,
            906,
            846,
            846,
            906,
            907,
            846,
            907,
            847,
            847,
            907,
            908,
            847,
            908,
            848,
            848,
            908,
            909,
            848,
            909,
            849,
            849,
            909,
            910,
            849,
            910,
            850,
            850,
            910,
            911,
            850,
            911,
            851,
            851,
            911,
            912,
            851,
            912,
            852,
            852,
            912,
            913,
            852,
            913,
            853,
            853,
            913,
            914,
            854,
            915,
            855,
            855,
            915,
            916,
            855,
            916,
            856,
            856,
            916,
            917,
            856,
            917,
            857,
            857,
            917,
            918,
            857,
            918,
            858,
            858,
            918,
            919,
            858,
            919,
            859,
            859,
            919,
            920,
            859,
            920,
            860,
            860,
            920,
            921,
            860,
            921,
            861,
            861,
            921,
            922,
            861,
            922,
            862,
            862,
            922,
            923,
            862,
            923,
            863,
            863,
            923,
            924,
            863,
            924,
            864,
            864,
            924,
            925,
            864,
            925,
            865,
            865,
            925,
            926,
            865,
            926,
            866,
            866,
            926,
            927,
            866,
            927,
            867,
            867,
            927,
            928,
            867,
            928,
            868,
            868,
            928,
            929,
            868,
            929,
            869,
            869,
            929,
            930,
            869,
            930,
            870,
            870,
            930,
            931,
            870,
            931,
            871,
            871,
            931,
            932,
            871,
            932,
            872,
            872,
            932,
            933,
            872,
            933,
            873,
            873,
            933,
            934,
            873,
            934,
            874,
            874,
            934,
            935,
            874,
            935,
            875,
            875,
            935,
            936,
            875,
            936,
            876,
            876,
            936,
            937,
            876,
            937,
            877,
            877,
            937,
            938,
            877,
            938,
            878,
            878,
            938,
            939,
            878,
            939,
            879,
            879,
            939,
            940,
            879,
            940,
            880,
            880,
            940,
            941,
            880,
            941,
            881,
            881,
            941,
            942,
            881,
            942,
            882,
            882,
            942,
            943,
            882,
            943,
            883,
            883,
            943,
            944,
            883,
            944,
            884,
            884,
            944,
            945,
            884,
            945,
            885,
            885,
            945,
            946,
            885,
            946,
            886,
            886,
            946,
            947,
            886,
            947,
            887,
            887,
            947,
            948,
            887,
            948,
            888,
            888,
            948,
            949,
            888,
            949,
            889,
            889,
            949,
            950,
            889,
            950,
            890,
            890,
            950,
            951,
            890,
            951,
            891,
            891,
            951,
            952,
            891,
            952,
            892,
            892,
            952,
            953,
            892,
            953,
            893,
            893,
            953,
            954,
            893,
            954,
            894,
            894,
            954,
            955,
            894,
            955,
            895,
            895,
            955,
            956,
            895,
            956,
            896,
            896,
            956,
            957,
            896,
            957,
            897,
            897,
            957,
            958,
            897,
            958,
            898,
            898,
            958,
            959,
            898,
            959,
            899,
            899,
            959,
            960,
            899,
            960,
            900,
            900,
            960,
            961,
            900,
            961,
            901,
            901,
            961,
            962,
            901,
            962,
            902,
            902,
            962,
            963,
            902,
            963,
            903,
            903,
            963,
            964,
            903,
            964,
            904,
            904,
            964,
            965,
            904,
            965,
            905,
            905,
            965,
            966,
            905,
            966,
            906,
            906,
            966,
            967,
            906,
            967,
            907,
            907,
            967,
            968,
            907,
            968,
            908,
            908,
            968,
            969,
            908,
            969,
            909,
            909,
            969,
            970,
            909,
            970,
            910,
            910,
            970,
            971,
            910,
            971,
            911,
            911,
            971,
            972,
            911,
            972,
            912,
            912,
            972,
            973,
            912,
            973,
            913,
            913,
            973,
            974,
            913,
            974,
            914,
            914,
            974,
            975,
            915,
            976,
            916,
            916,
            976,
            977,
            916,
            977,
            917,
            917,
            977,
            978,
            917,
            978,
            918,
            918,
            978,
            979,
            918,
            979,
            919,
            919,
            979,
            980,
            919,
            980,
            920,
            920,
            980,
            981,
            920,
            981,
            921,
            921,
            981,
            982,
            921,
            982,
            922,
            922,
            982,
            983,
            922,
            983,
            923,
            923,
            983,
            984,
            923,
            984,
            924,
            924,
            984,
            985,
            924,
            985,
            925,
            925,
            985,
            986,
            925,
            986,
            926,
            926,
            986,
            987,
            926,
            987,
            927,
            927,
            987,
            988,
            927,
            988,
            928,
            928,
            988,
            989,
            928,
            989,
            929,
            929,
            989,
            990,
            929,
            990,
            930,
            930,
            990,
            991,
            930,
            991,
            931,
            931,
            991,
            992,
            931,
            992,
            932,
            932,
            992,
            993,
            932,
            993,
            933,
            933,
            993,
            994,
            933,
            994,
            934,
            934,
            994,
            995,
            934,
            995,
            935,
            935,
            995,
            996,
            935,
            996,
            936,
            936,
            996,
            997,
            936,
            997,
            937,
            937,
            997,
            998,
            937,
            998,
            938,
            938,
            998,
            999,
            938,
            999,
            939,
            939,
            999,
            1000,
            939,
            1000,
            940,
            940,
            1000,
            1001,
            940,
            1001,
            941,
            941,
            1001,
            1002,
            941,
            1002,
            942,
            942,
            1002,
            1003,
            942,
            1003,
            943,
            943,
            1003,
            1004,
            943,
            1004,
            944,
            944,
            1004,
            1005,
            944,
            1005,
            945,
            945,
            1005,
            1006,
            945,
            1006,
            946,
            946,
            1006,
            1007,
            946,
            1007,
            947,
            947,
            1007,
            1008,
            947,
            1008,
            948,
            948,
            1008,
            1009,
            948,
            1009,
            949,
            949,
            1009,
            1010,
            949,
            1010,
            950,
            950,
            1010,
            1011,
            950,
            1011,
            951,
            951,
            1011,
            1012,
            951,
            1012,
            952,
            952,
            1012,
            1013,
            952,
            1013,
            953,
            953,
            1013,
            1014,
            953,
            1014,
            954,
            954,
            1014,
            1015,
            954,
            1015,
            955,
            955,
            1015,
            1016,
            955,
            1016,
            956,
            956,
            1016,
            1017,
            956,
            1017,
            957,
            957,
            1017,
            1018,
            957,
            1018,
            958,
            958,
            1018,
            1019,
            958,
            1019,
            959,
            959,
            1019,
            1020,
            959,
            1020,
            960,
            960,
            1020,
            1021,
            960,
            1021,
            961,
            961,
            1021,
            1022,
            961,
            1022,
            962,
            962,
            1022,
            1023,
            962,
            1023,
            963,
            963,
            1023,
            1024,
            963,
            1024,
            964,
            964,
            1024,
            1025,
            964,
            1025,
            965,
            965,
            1025,
            1026,
            965,
            1026,
            966,
            966,
            1026,
            1027,
            966,
            1027,
            967,
            967,
            1027,
            1028,
            967,
            1028,
            968,
            968,
            1028,
            1029,
            968,
            1029,
            969,
            969,
            1029,
            1030,
            969,
            1030,
            970,
            970,
            1030,
            1031,
            970,
            1031,
            971,
            971,
            1031,
            1032,
            971,
            1032,
            972,
            972,
            1032,
            1033,
            972,
            1033,
            973,
            973,
            1033,
            1034,
            973,
            1034,
            974,
            974,
            1034,
            1035,
            974,
            1035,
            975,
            975,
            1035,
            1036,
            976,
            1037,
            977,
            977,
            1037,
            1038,
            977,
            1038,
            978,
            978,
            1038,
            1039,
            978,
            1039,
            979,
            979,
            1039,
            1040,
            979,
            1040,
            980,
            980,
            1040,
            1041,
            980,
            1041,
            981,
            981,
            1041,
            1042,
            981,
            1042,
            982,
            982,
            1042,
            1043,
            982,
            1043,
            983,
            983,
            1043,
            1044,
            983,
            1044,
            984,
            984,
            1044,
            1045,
            984,
            1045,
            985,
            985,
            1045,
            1046,
            985,
            1046,
            986,
            986,
            1046,
            1047,
            986,
            1047,
            987,
            987,
            1047,
            1048,
            987,
            1048,
            988,
            988,
            1048,
            1049,
            988,
            1049,
            989,
            989,
            1049,
            1050,
            989,
            1050,
            990,
            990,
            1050,
            1051,
            990,
            1051,
            991,
            991,
            1051,
            1052,
            991,
            1052,
            992,
            992,
            1052,
            1053,
            992,
            1053,
            993,
            993,
            1053,
            1054,
            993,
            1054,
            994,
            994,
            1054,
            1055,
            994,
            1055,
            995,
            995,
            1055,
            1056,
            995,
            1056,
            996,
            996,
            1056,
            1057,
            996,
            1057,
            997,
            997,
            1057,
            1058,
            997,
            1058,
            998,
            998,
            1058,
            1059,
            998,
            1059,
            999,
            999,
            1059,
            1060,
            999,
            1060,
            1000,
            1000,
            1060,
            1061,
            1000,
            1061,
            1001,
            1001,
            1061,
            1062,
            1001,
            1062,
            1002,
            1002,
            1062,
            1063,
            1002,
            1063,
            1003,
            1003,
            1063,
            1064,
            1003,
            1064,
            1004,
            1004,
            1064,
            1065,
            1004,
            1065,
            1005,
            1005,
            1065,
            1066,
            1005,
            1066,
            1006,
            1006,
            1066,
            1067,
            1006,
            1067,
            1007,
            1007,
            1067,
            1068,
            1007,
            1068,
            1008,
            1008,
            1068,
            1069,
            1008,
            1069,
            1009,
            1009,
            1069,
            1070,
            1009,
            1070,
            1010,
            1010,
            1070,
            1071,
            1010,
            1071,
            1011,
            1011,
            1071,
            1072,
            1011,
            1072,
            1012,
            1012,
            1072,
            1073,
            1012,
            1073,
            1013,
            1013,
            1073,
            1074,
            1013,
            1074,
            1014,
            1014,
            1074,
            1075,
            1014,
            1075,
            1015,
            1015,
            1075,
            1076,
            1015,
            1076,
            1016,
            1016,
            1076,
            1077,
            1016,
            1077,
            1017,
            1017,
            1077,
            1078,
            1017,
            1078,
            1018,
            1018,
            1078,
            1079,
            1018,
            1079,
            1019,
            1019,
            1079,
            1080,
            1019,
            1080,
            1020,
            1020,
            1080,
            1081,
            1020,
            1081,
            1021,
            1021,
            1081,
            1082,
            1021,
            1082,
            1022,
            1022,
            1082,
            1083,
            1022,
            1083,
            1023,
            1023,
            1083,
            1084,
            1023,
            1084,
            1024,
            1024,
            1084,
            1085,
            1024,
            1085,
            1025,
            1025,
            1085,
            1086,
            1025,
            1086,
            1026,
            1026,
            1086,
            1087,
            1026,
            1087,
            1027,
            1027,
            1087,
            1088,
            1027,
            1088,
            1028,
            1028,
            1088,
            1089,
            1028,
            1089,
            1029,
            1029,
            1089,
            1090,
            1029,
            1090,
            1030,
            1030,
            1090,
            1091,
            1030,
            1091,
            1031,
            1031,
            1091,
            1092,
            1031,
            1092,
            1032,
            1032,
            1092,
            1093,
            1032,
            1093,
            1033,
            1033,
            1093,
            1094,
            1033,
            1094,
            1034,
            1034,
            1094,
            1095,
            1034,
            1095,
            1035,
            1035,
            1095,
            1096,
            1035,
            1096,
            1036,
            1036,
            1096,
            1097,
            1037,
            1098,
            1038,
            1038,
            1098,
            1099,
            1038,
            1099,
            1039,
            1039,
            1099,
            1100,
            1039,
            1100,
            1040,
            1040,
            1100,
            1101,
            1040,
            1101,
            1041,
            1041,
            1101,
            1102,
            1041,
            1102,
            1042,
            1042,
            1102,
            1103,
            1042,
            1103,
            1043,
            1043,
            1103,
            1104,
            1043,
            1104,
            1044,
            1044,
            1104,
            1105,
            1044,
            1105,
            1045,
            1045,
            1105,
            1106,
            1045,
            1106,
            1046,
            1046,
            1106,
            1107,
            1046,
            1107,
            1047,
            1047,
            1107,
            1108,
            1047,
            1108,
            1048,
            1048,
            1108,
            1109,
            1048,
            1109,
            1049,
            1049,
            1109,
            1110,
            1049,
            1110,
            1050,
            1050,
            1110,
            1111,
            1050,
            1111,
            1051,
            1051,
            1111,
            1112,
            1051,
            1112,
            1052,
            1052,
            1112,
            1113,
            1052,
            1113,
            1053,
            1053,
            1113,
            1114,
            1053,
            1114,
            1054,
            1054,
            1114,
            1115,
            1054,
            1115,
            1055,
            1055,
            1115,
            1116,
            1055,
            1116,
            1056,
            1056,
            1116,
            1117,
            1056,
            1117,
            1057,
            1057,
            1117,
            1118,
            1057,
            1118,
            1058,
            1058,
            1118,
            1119,
            1058,
            1119,
            1059,
            1059,
            1119,
            1120,
            1059,
            1120,
            1060,
            1060,
            1120,
            1121,
            1060,
            1121,
            1061,
            1061,
            1121,
            1122,
            1061,
            1122,
            1062,
            1062,
            1122,
            1123,
            1062,
            1123,
            1063,
            1063,
            1123,
            1124,
            1063,
            1124,
            1064,
            1064,
            1124,
            1125,
            1064,
            1125,
            1065,
            1065,
            1125,
            1126,
            1065,
            1126,
            1066,
            1066,
            1126,
            1127,
            1066,
            1127,
            1067,
            1067,
            1127,
            1128,
            1067,
            1128,
            1068,
            1068,
            1128,
            1129,
            1068,
            1129,
            1069,
            1069,
            1129,
            1130,
            1069,
            1130,
            1070,
            1070,
            1130,
            1131,
            1070,
            1131,
            1071,
            1071,
            1131,
            1132,
            1071,
            1132,
            1072,
            1072,
            1132,
            1133,
            1072,
            1133,
            1073,
            1073,
            1133,
            1134,
            1073,
            1134,
            1074,
            1074,
            1134,
            1135,
            1074,
            1135,
            1075,
            1075,
            1135,
            1136,
            1075,
            1136,
            1076,
            1076,
            1136,
            1137,
            1076,
            1137,
            1077,
            1077,
            1137,
            1138,
            1077,
            1138,
            1078,
            1078,
            1138,
            1139,
            1078,
            1139,
            1079,
            1079,
            1139,
            1140,
            1079,
            1140,
            1080,
            1080,
            1140,
            1141,
            1080,
            1141,
            1081,
            1081,
            1141,
            1142,
            1081,
            1142,
            1082,
            1082,
            1142,
            1143,
            1082,
            1143,
            1083,
            1083,
            1143,
            1144,
            1083,
            1144,
            1084,
            1084,
            1144,
            1145,
            1084,
            1145,
            1085,
            1085,
            1145,
            1146,
            1085,
            1146,
            1086,
            1086,
            1146,
            1147,
            1086,
            1147,
            1087,
            1087,
            1147,
            1148,
            1087,
            1148,
            1088,
            1088,
            1148,
            1149,
            1088,
            1149,
            1089,
            1089,
            1149,
            1150,
            1089,
            1150,
            1090,
            1090,
            1150,
            1151,
            1090,
            1151,
            1091,
            1091,
            1151,
            1152,
            1091,
            1152,
            1092,
            1092,
            1152,
            1153,
            1092,
            1153,
            1093,
            1093,
            1153,
            1154,
            1093,
            1154,
            1094,
            1094,
            1154,
            1155,
            1094,
            1155,
            1095,
            1095,
            1155,
            1156,
            1095,
            1156,
            1096,
            1096,
            1156,
            1157,
            1096,
            1157,
            1097,
            1097,
            1157,
            1158,
            1098,
            1159,
            1099,
            1099,
            1159,
            1160,
            1099,
            1160,
            1100,
            1100,
            1160,
            1161,
            1100,
            1161,
            1101,
            1101,
            1161,
            1162,
            1101,
            1162,
            1102,
            1102,
            1162,
            1163,
            1102,
            1163,
            1103,
            1103,
            1163,
            1164,
            1103,
            1164,
            1104,
            1104,
            1164,
            1165,
            1104,
            1165,
            1105,
            1105,
            1165,
            1166,
            1105,
            1166,
            1106,
            1106,
            1166,
            1167,
            1106,
            1167,
            1107,
            1107,
            1167,
            1168,
            1107,
            1168,
            1108,
            1108,
            1168,
            1169,
            1108,
            1169,
            1109,
            1109,
            1169,
            1170,
            1109,
            1170,
            1110,
            1110,
            1170,
            1171,
            1110,
            1171,
            1111,
            1111,
            1171,
            1172,
            1111,
            1172,
            1112,
            1112,
            1172,
            1173,
            1112,
            1173,
            1113,
            1113,
            1173,
            1174,
            1113,
            1174,
            1114,
            1114,
            1174,
            1175,
            1114,
            1175,
            1115,
            1115,
            1175,
            1176,
            1115,
            1176,
            1116,
            1116,
            1176,
            1177,
            1116,
            1177,
            1117,
            1117,
            1177,
            1178,
            1117,
            1178,
            1118,
            1118,
            1178,
            1179,
            1118,
            1179,
            1119,
            1119,
            1179,
            1180,
            1119,
            1180,
            1120,
            1120,
            1180,
            1181,
            1120,
            1181,
            1121,
            1121,
            1181,
            1182,
            1121,
            1182,
            1122,
            1122,
            1182,
            1183,
            1122,
            1183,
            1123,
            1123,
            1183,
            1184,
            1123,
            1184,
            1124,
            1124,
            1184,
            1185,
            1124,
            1185,
            1125,
            1125,
            1185,
            1186,
            1125,
            1186,
            1126,
            1126,
            1186,
            1187,
            1126,
            1187,
            1127,
            1127,
            1187,
            1188,
            1127,
            1188,
            1128,
            1128,
            1188,
            1189,
            1128,
            1189,
            1129,
            1129,
            1189,
            1190,
            1129,
            1190,
            1130,
            1130,
            1190,
            1191,
            1130,
            1191,
            1131,
            1131,
            1191,
            1192,
            1131,
            1192,
            1132,
            1132,
            1192,
            1193,
            1132,
            1193,
            1133,
            1133,
            1193,
            1194,
            1133,
            1194,
            1134,
            1134,
            1194,
            1195,
            1134,
            1195,
            1135,
            1135,
            1195,
            1196,
            1135,
            1196,
            1136,
            1136,
            1196,
            1197,
            1136,
            1197,
            1137,
            1137,
            1197,
            1198,
            1137,
            1198,
            1138,
            1138,
            1198,
            1199,
            1138,
            1199,
            1139,
            1139,
            1199,
            1200,
            1139,
            1200,
            1140,
            1140,
            1200,
            1201,
            1140,
            1201,
            1141,
            1141,
            1201,
            1202,
            1141,
            1202,
            1142,
            1142,
            1202,
            1203,
            1142,
            1203,
            1143,
            1143,
            1203,
            1204,
            1143,
            1204,
            1144,
            1144,
            1204,
            1205,
            1144,
            1205,
            1145,
            1145,
            1205,
            1206,
            1145,
            1206,
            1146,
            1146,
            1206,
            1207,
            1146,
            1207,
            1147,
            1147,
            1207,
            1208,
            1147,
            1208,
            1148,
            1148,
            1208,
            1209,
            1148,
            1209,
            1149,
            1149,
            1209,
            1210,
            1149,
            1210,
            1150,
            1150,
            1210,
            1211,
            1150,
            1211,
            1151,
            1151,
            1211,
            1212,
            1151,
            1212,
            1152,
            1152,
            1212,
            1213,
            1152,
            1213,
            1153,
            1153,
            1213,
            1214,
            1153,
            1214,
            1154,
            1154,
            1214,
            1215,
            1154,
            1215,
            1155,
            1155,
            1215,
            1216,
            1155,
            1216,
            1156,
            1156,
            1216,
            1217,
            1156,
            1217,
            1157,
            1157,
            1217,
            1218,
            1157,
            1218,
            1158,
            1158,
            1218,
            1219,
            1159,
            1220,
            1160,
            1160,
            1220,
            1221,
            1160,
            1221,
            1161,
            1161,
            1221,
            1222,
            1161,
            1222,
            1162,
            1162,
            1222,
            1223,
            1162,
            1223,
            1163,
            1163,
            1223,
            1224,
            1163,
            1224,
            1164,
            1164,
            1224,
            1225,
            1164,
            1225,
            1165,
            1165,
            1225,
            1226,
            1165,
            1226,
            1166,
            1166,
            1226,
            1227,
            1166,
            1227,
            1167,
            1167,
            1227,
            1228,
            1167,
            1228,
            1168,
            1168,
            1228,
            1229,
            1168,
            1229,
            1169,
            1169,
            1229,
            1230,
            1169,
            1230,
            1170,
            1170,
            1230,
            1231,
            1170,
            1231,
            1171,
            1171,
            1231,
            1232,
            1171,
            1232,
            1172,
            1172,
            1232,
            1233,
            1172,
            1233,
            1173,
            1173,
            1233,
            1234,
            1173,
            1234,
            1174,
            1174,
            1234,
            1235,
            1174,
            1235,
            1175,
            1175,
            1235,
            1236,
            1175,
            1236,
            1176,
            1176,
            1236,
            1237,
            1176,
            1237,
            1177,
            1177,
            1237,
            1238,
            1177,
            1238,
            1178,
            1178,
            1238,
            1239,
            1178,
            1239,
            1179,
            1179,
            1239,
            1240,
            1179,
            1240,
            1180,
            1180,
            1240,
            1241,
            1180,
            1241,
            1181,
            1181,
            1241,
            1242,
            1181,
            1242,
            1182,
            1182,
            1242,
            1243,
            1182,
            1243,
            1183,
            1183,
            1243,
            1244,
            1183,
            1244,
            1184,
            1184,
            1244,
            1245,
            1184,
            1245,
            1185,
            1185,
            1245,
            1246,
            1185,
            1246,
            1186,
            1186,
            1246,
            1247,
            1186,
            1247,
            1187,
            1187,
            1247,
            1248,
            1187,
            1248,
            1188,
            1188,
            1248,
            1249,
            1188,
            1249,
            1189,
            1189,
            1249,
            1250,
            1189,
            1250,
            1190,
            1190,
            1250,
            1251,
            1190,
            1251,
            1191,
            1191,
            1251,
            1252,
            1191,
            1252,
            1192,
            1192,
            1252,
            1253,
            1192,
            1253,
            1193,
            1193,
            1253,
            1254,
            1193,
            1254,
            1194,
            1194,
            1254,
            1255,
            1194,
            1255,
            1195,
            1195,
            1255,
            1256,
            1195,
            1256,
            1196,
            1196,
            1256,
            1257,
            1196,
            1257,
            1197,
            1197,
            1257,
            1258,
            1197,
            1258,
            1198,
            1198,
            1258,
            1259,
            1198,
            1259,
            1199,
            1199,
            1259,
            1260,
            1199,
            1260,
            1200,
            1200,
            1260,
            1261,
            1200,
            1261,
            1201,
            1201,
            1261,
            1262,
            1201,
            1262,
            1202,
            1202,
            1262,
            1263,
            1202,
            1263,
            1203,
            1203,
            1263,
            1264,
            1203,
            1264,
            1204,
            1204,
            1264,
            1265,
            1204,
            1265,
            1205,
            1205,
            1265,
            1266,
            1205,
            1266,
            1206,
            1206,
            1266,
            1267,
            1206,
            1267,
            1207,
            1207,
            1267,
            1268,
            1207,
            1268,
            1208,
            1208,
            1268,
            1269,
            1208,
            1269,
            1209,
            1209,
            1269,
            1270,
            1209,
            1270,
            1210,
            1210,
            1270,
            1271,
            1210,
            1271,
            1211,
            1211,
            1271,
            1272,
            1211,
            1272,
            1212,
            1212,
            1272,
            1273,
            1212,
            1273,
            1213,
            1213,
            1273,
            1274,
            1213,
            1274,
            1214,
            1214,
            1274,
            1275,
            1214,
            1275,
            1215,
            1215,
            1275,
            1276,
            1215,
            1276,
            1216,
            1216,
            1276,
            1277,
            1216,
            1277,
            1217,
            1217,
            1277,
            1278,
            1217,
            1278,
            1218,
            1218,
            1278,
            1279,
            1218,
            1279,
            1219,
            1219,
            1279,
            1280,
            1220,
            1281,
            1221,
            1221,
            1281,
            1282,
            1221,
            1282,
            1222,
            1222,
            1282,
            1283,
            1222,
            1283,
            1223,
            1223,
            1283,
            1284,
            1223,
            1284,
            1224,
            1224,
            1284,
            1285,
            1224,
            1285,
            1225,
            1225,
            1285,
            1286,
            1225,
            1286,
            1226,
            1226,
            1286,
            1287,
            1226,
            1287,
            1227,
            1227,
            1287,
            1288,
            1227,
            1288,
            1228,
            1228,
            1288,
            1289,
            1228,
            1289,
            1229,
            1229,
            1289,
            1290,
            1229,
            1290,
            1230,
            1230,
            1290,
            1291,
            1230,
            1291,
            1231,
            1231,
            1291,
            1292,
            1231,
            1292,
            1232,
            1232,
            1292,
            1293,
            1232,
            1293,
            1233,
            1233,
            1293,
            1294,
            1233,
            1294,
            1234,
            1234,
            1294,
            1295,
            1234,
            1295,
            1235,
            1235,
            1295,
            1296,
            1235,
            1296,
            1236,
            1236,
            1296,
            1297,
            1236,
            1297,
            1237,
            1237,
            1297,
            1298,
            1237,
            1298,
            1238,
            1238,
            1298,
            1299,
            1238,
            1299,
            1239,
            1239,
            1299,
            1300,
            1239,
            1300,
            1240,
            1240,
            1300,
            1301,
            1240,
            1301,
            1241,
            1241,
            1301,
            1302,
            1241,
            1302,
            1242,
            1242,
            1302,
            1303,
            1242,
            1303,
            1243,
            1243,
            1303,
            1304,
            1243,
            1304,
            1244,
            1244,
            1304,
            1305,
            1244,
            1305,
            1245,
            1245,
            1305,
            1306,
            1245,
            1306,
            1246,
            1246,
            1306,
            1307,
            1246,
            1307,
            1247,
            1247,
            1307,
            1308,
            1247,
            1308,
            1248,
            1248,
            1308,
            1309,
            1248,
            1309,
            1249,
            1249,
            1309,
            1310,
            1249,
            1310,
            1250,
            1250,
            1310,
            1311,
            1250,
            1311,
            1251,
            1251,
            1311,
            1312,
            1251,
            1312,
            1252,
            1252,
            1312,
            1313,
            1252,
            1313,
            1253,
            1253,
            1313,
            1314,
            1253,
            1314,
            1254,
            1254,
            1314,
            1315,
            1254,
            1315,
            1255,
            1255,
            1315,
            1316,
            1255,
            1316,
            1256,
            1256,
            1316,
            1317,
            1256,
            1317,
            1257,
            1257,
            1317,
            1318,
            1257,
            1318,
            1258,
            1258,
            1318,
            1319,
            1258,
            1319,
            1259,
            1259,
            1319,
            1320,
            1259,
            1320,
            1260,
            1260,
            1320,
            1321,
            1260,
            1321,
            1261,
            1261,
            1321,
            1322,
            1261,
            1322,
            1262,
            1262,
            1322,
            1323,
            1262,
            1323,
            1263,
            1263,
            1323,
            1324,
            1263,
            1324,
            1264,
            1264,
            1324,
            1325,
            1264,
            1325,
            1265,
            1265,
            1325,
            1326,
            1265,
            1326,
            1266,
            1266,
            1326,
            1327,
            1266,
            1327,
            1267,
            1267,
            1327,
            1328,
            1267,
            1328,
            1268,
            1268,
            1328,
            1329,
            1268,
            1329,
            1269,
            1269,
            1329,
            1330,
            1269,
            1330,
            1270,
            1270,
            1330,
            1331,
            1270,
            1331,
            1271,
            1271,
            1331,
            1332,
            1271,
            1332,
            1272,
            1272,
            1332,
            1333,
            1272,
            1333,
            1273,
            1273,
            1333,
            1334,
            1273,
            1334,
            1274,
            1274,
            1334,
            1335,
            1274,
            1335,
            1275,
            1275,
            1335,
            1336,
            1275,
            1336,
            1276,
            1276,
            1336,
            1337,
            1276,
            1337,
            1277,
            1277,
            1337,
            1338,
            1277,
            1338,
            1278,
            1278,
            1338,
            1339,
            1278,
            1339,
            1279,
            1279,
            1339,
            1340,
            1279,
            1340,
            1280,
            1280,
            1340,
            1341,
            1281,
            1342,
            1282,
            1282,
            1342,
            1343,
            1282,
            1343,
            1283,
            1283,
            1343,
            1344,
            1283,
            1344,
            1284,
            1284,
            1344,
            1345,
            1284,
            1345,
            1285,
            1285,
            1345,
            1346,
            1285,
            1346,
            1286,
            1286,
            1346,
            1347,
            1286,
            1347,
            1287,
            1287,
            1347,
            1348,
            1287,
            1348,
            1288,
            1288,
            1348,
            1349,
            1288,
            1349,
            1289,
            1289,
            1349,
            1350,
            1289,
            1350,
            1290,
            1290,
            1350,
            1351,
            1290,
            1351,
            1291,
            1291,
            1351,
            1352,
            1291,
            1352,
            1292,
            1292,
            1352,
            1353,
            1292,
            1353,
            1293,
            1293,
            1353,
            1354,
            1293,
            1354,
            1294,
            1294,
            1354,
            1355,
            1294,
            1355,
            1295,
            1295,
            1355,
            1356,
            1295,
            1356,
            1296,
            1296,
            1356,
            1357,
            1296,
            1357,
            1297,
            1297,
            1357,
            1358,
            1297,
            1358,
            1298,
            1298,
            1358,
            1359,
            1298,
            1359,
            1299,
            1299,
            1359,
            1360,
            1299,
            1360,
            1300,
            1300,
            1360,
            1361,
            1300,
            1361,
            1301,
            1301,
            1361,
            1362,
            1301,
            1362,
            1302,
            1302,
            1362,
            1363,
            1302,
            1363,
            1303,
            1303,
            1363,
            1364,
            1303,
            1364,
            1304,
            1304,
            1364,
            1365,
            1304,
            1365,
            1305,
            1305,
            1365,
            1366,
            1305,
            1366,
            1306,
            1306,
            1366,
            1367,
            1306,
            1367,
            1307,
            1307,
            1367,
            1368,
            1307,
            1368,
            1308,
            1308,
            1368,
            1369,
            1308,
            1369,
            1309,
            1309,
            1369,
            1370,
            1309,
            1370,
            1310,
            1310,
            1370,
            1371,
            1310,
            1371,
            1311,
            1311,
            1371,
            1372,
            1311,
            1372,
            1312,
            1312,
            1372,
            1373,
            1312,
            1373,
            1313,
            1313,
            1373,
            1374,
            1313,
            1374,
            1314,
            1314,
            1374,
            1375,
            1314,
            1375,
            1315,
            1315,
            1375,
            1376,
            1315,
            1376,
            1316,
            1316,
            1376,
            1377,
            1316,
            1377,
            1317,
            1317,
            1377,
            1378,
            1317,
            1378,
            1318,
            1318,
            1378,
            1379,
            1318,
            1379,
            1319,
            1319,
            1379,
            1380,
            1319,
            1380,
            1320,
            1320,
            1380,
            1381,
            1320,
            1381,
            1321,
            1321,
            1381,
            1382,
            1321,
            1382,
            1322,
            1322,
            1382,
            1383,
            1322,
            1383,
            1323,
            1323,
            1383,
            1384,
            1323,
            1384,
            1324,
            1324,
            1384,
            1385,
            1324,
            1385,
            1325,
            1325,
            1385,
            1386,
            1325,
            1386,
            1326,
            1326,
            1386,
            1387,
            1326,
            1387,
            1327,
            1327,
            1387,
            1388,
            1327,
            1388,
            1328,
            1328,
            1388,
            1389,
            1328,
            1389,
            1329,
            1329,
            1389,
            1390,
            1329,
            1390,
            1330,
            1330,
            1390,
            1391,
            1330,
            1391,
            1331,
            1331,
            1391,
            1392,
            1331,
            1392,
            1332,
            1332,
            1392,
            1393,
            1332,
            1393,
            1333,
            1333,
            1393,
            1394,
            1333,
            1394,
            1334,
            1334,
            1394,
            1395,
            1334,
            1395,
            1335,
            1335,
            1395,
            1396,
            1335,
            1396,
            1336,
            1336,
            1396,
            1397,
            1336,
            1397,
            1337,
            1337,
            1397,
            1398,
            1337,
            1398,
            1338,
            1338,
            1398,
            1399,
            1338,
            1399,
            1339,
            1339,
            1399,
            1400,
            1339,
            1400,
            1340,
            1340,
            1400,
            1401,
            1340,
            1401,
            1341,
            1341,
            1401,
            1402,
            1342,
            1403,
            1343,
            1343,
            1403,
            1404,
            1343,
            1404,
            1344,
            1344,
            1404,
            1405,
            1344,
            1405,
            1345,
            1345,
            1405,
            1406,
            1345,
            1406,
            1346,
            1346,
            1406,
            1407,
            1346,
            1407,
            1347,
            1347,
            1407,
            1408,
            1347,
            1408,
            1348,
            1348,
            1408,
            1409,
            1348,
            1409,
            1349,
            1349,
            1409,
            1410,
            1349,
            1410,
            1350,
            1350,
            1410,
            1411,
            1350,
            1411,
            1351,
            1351,
            1411,
            1412,
            1351,
            1412,
            1352,
            1352,
            1412,
            1413,
            1352,
            1413,
            1353,
            1353,
            1413,
            1414,
            1353,
            1414,
            1354,
            1354,
            1414,
            1415,
            1354,
            1415,
            1355,
            1355,
            1415,
            1416,
            1355,
            1416,
            1356,
            1356,
            1416,
            1417,
            1356,
            1417,
            1357,
            1357,
            1417,
            1418,
            1357,
            1418,
            1358,
            1358,
            1418,
            1419,
            1358,
            1419,
            1359,
            1359,
            1419,
            1420,
            1359,
            1420,
            1360,
            1360,
            1420,
            1421,
            1360,
            1421,
            1361,
            1361,
            1421,
            1422,
            1361,
            1422,
            1362,
            1362,
            1422,
            1423,
            1362,
            1423,
            1363,
            1363,
            1423,
            1424,
            1363,
            1424,
            1364,
            1364,
            1424,
            1425,
            1364,
            1425,
            1365,
            1365,
            1425,
            1426,
            1365,
            1426,
            1366,
            1366,
            1426,
            1427,
            1366,
            1427,
            1367,
            1367,
            1427,
            1428,
            1367,
            1428,
            1368,
            1368,
            1428,
            1429,
            1368,
            1429,
            1369,
            1369,
            1429,
            1430,
            1369,
            1430,
            1370,
            1370,
            1430,
            1431,
            1370,
            1431,
            1371,
            1371,
            1431,
            1432,
            1371,
            1432,
            1372,
            1372,
            1432,
            1433,
            1372,
            1433,
            1373,
            1373,
            1433,
            1434,
            1373,
            1434,
            1374,
            1374,
            1434,
            1435,
            1374,
            1435,
            1375,
            1375,
            1435,
            1436,
            1375,
            1436,
            1376,
            1376,
            1436,
            1437,
            1376,
            1437,
            1377,
            1377,
            1437,
            1438,
            1377,
            1438,
            1378,
            1378,
            1438,
            1439,
            1378,
            1439,
            1379,
            1379,
            1439,
            1440,
            1379,
            1440,
            1380,
            1380,
            1440,
            1441,
            1380,
            1441,
            1381,
            1381,
            1441,
            1442,
            1381,
            1442,
            1382,
            1382,
            1442,
            1443,
            1382,
            1443,
            1383,
            1383,
            1443,
            1444,
            1383,
            1444,
            1384,
            1384,
            1444,
            1445,
            1384,
            1445,
            1385,
            1385,
            1445,
            1446,
            1385,
            1446,
            1386,
            1386,
            1446,
            1447,
            1386,
            1447,
            1387,
            1387,
            1447,
            1448,
            1387,
            1448,
            1388,
            1388,
            1448,
            1449,
            1388,
            1449,
            1389,
            1389,
            1449,
            1450,
            1389,
            1450,
            1390,
            1390,
            1450,
            1451,
            1390,
            1451,
            1391,
            1391,
            1451,
            1452,
            1391,
            1452,
            1392,
            1392,
            1452,
            1453,
            1392,
            1453,
            1393,
            1393,
            1453,
            1454,
            1393,
            1454,
            1394,
            1394,
            1454,
            1455,
            1394,
            1455,
            1395,
            1395,
            1455,
            1456,
            1395,
            1456,
            1396,
            1396,
            1456,
            1457,
            1396,
            1457,
            1397,
            1397,
            1457,
            1458,
            1397,
            1458,
            1398,
            1398,
            1458,
            1459,
            1398,
            1459,
            1399,
            1399,
            1459,
            1460,
            1399,
            1460,
            1400,
            1400,
            1460,
            1461,
            1400,
            1461,
            1401,
            1401,
            1461,
            1462,
            1401,
            1462,
            1402,
            1402,
            1462,
            1463,
            1403,
            1464,
            1404,
            1404,
            1464,
            1465,
            1404,
            1465,
            1405,
            1405,
            1465,
            1466,
            1405,
            1466,
            1406,
            1406,
            1466,
            1467,
            1406,
            1467,
            1407,
            1407,
            1467,
            1468,
            1407,
            1468,
            1408,
            1408,
            1468,
            1469,
            1408,
            1469,
            1409,
            1409,
            1469,
            1470,
            1409,
            1470,
            1410,
            1410,
            1470,
            1471,
            1410,
            1471,
            1411,
            1411,
            1471,
            1472,
            1411,
            1472,
            1412,
            1412,
            1472,
            1473,
            1412,
            1473,
            1413,
            1413,
            1473,
            1474,
            1413,
            1474,
            1414,
            1414,
            1474,
            1475,
            1414,
            1475,
            1415,
            1415,
            1475,
            1476,
            1415,
            1476,
            1416,
            1416,
            1476,
            1477,
            1416,
            1477,
            1417,
            1417,
            1477,
            1478,
            1417,
            1478,
            1418,
            1418,
            1478,
            1479,
            1418,
            1479,
            1419,
            1419,
            1479,
            1480,
            1419,
            1480,
            1420,
            1420,
            1480,
            1481,
            1420,
            1481,
            1421,
            1421,
            1481,
            1482,
            1421,
            1482,
            1422,
            1422,
            1482,
            1483,
            1422,
            1483,
            1423,
            1423,
            1483,
            1484,
            1423,
            1484,
            1424,
            1424,
            1484,
            1485,
            1424,
            1485,
            1425,
            1425,
            1485,
            1486,
            1425,
            1486,
            1426,
            1426,
            1486,
            1487,
            1426,
            1487,
            1427,
            1427,
            1487,
            1488,
            1427,
            1488,
            1428,
            1428,
            1488,
            1489,
            1428,
            1489,
            1429,
            1429,
            1489,
            1490,
            1429,
            1490,
            1430,
            1430,
            1490,
            1491,
            1430,
            1491,
            1431,
            1431,
            1491,
            1492,
            1431,
            1492,
            1432,
            1432,
            1492,
            1493,
            1432,
            1493,
            1433,
            1433,
            1493,
            1494,
            1433,
            1494,
            1434,
            1434,
            1494,
            1495,
            1434,
            1495,
            1435,
            1435,
            1495,
            1496,
            1435,
            1496,
            1436,
            1436,
            1496,
            1497,
            1436,
            1497,
            1437,
            1437,
            1497,
            1498,
            1437,
            1498,
            1438,
            1438,
            1498,
            1499,
            1438,
            1499,
            1439,
            1439,
            1499,
            1500,
            1439,
            1500,
            1440,
            1440,
            1500,
            1501,
            1440,
            1501,
            1441,
            1441,
            1501,
            1502,
            1441,
            1502,
            1442,
            1442,
            1502,
            1503,
            1442,
            1503,
            1443,
            1443,
            1503,
            1504,
            1443,
            1504,
            1444,
            1444,
            1504,
            1505,
            1444,
            1505,
            1445,
            1445,
            1505,
            1506,
            1445,
            1506,
            1446,
            1446,
            1506,
            1507,
            1446,
            1507,
            1447,
            1447,
            1507,
            1508,
            1447,
            1508,
            1448,
            1448,
            1508,
            1509,
            1448,
            1509,
            1449,
            1449,
            1509,
            1510,
            1449,
            1510,
            1450,
            1450,
            1510,
            1511,
            1450,
            1511,
            1451,
            1451,
            1511,
            1512,
            1451,
            1512,
            1452,
            1452,
            1512,
            1513,
            1452,
            1513,
            1453,
            1453,
            1513,
            1514,
            1453,
            1514,
            1454,
            1454,
            1514,
            1515,
            1454,
            1515,
            1455,
            1455,
            1515,
            1516,
            1455,
            1516,
            1456,
            1456,
            1516,
            1517,
            1456,
            1517,
            1457,
            1457,
            1517,
            1518,
            1457,
            1518,
            1458,
            1458,
            1518,
            1519,
            1458,
            1519,
            1459,
            1459,
            1519,
            1520,
            1459,
            1520,
            1460,
            1460,
            1520,
            1521,
            1460,
            1521,
            1461,
            1461,
            1521,
            1522,
            1461,
            1522,
            1462,
            1462,
            1522,
            1523,
            1462,
            1523,
            1463,
            1463,
            1523,
            1524,
            1464,
            1525,
            1465,
            1465,
            1525,
            1526,
            1465,
            1526,
            1466,
            1466,
            1526,
            1527,
            1466,
            1527,
            1467,
            1467,
            1527,
            1528,
            1467,
            1528,
            1468,
            1468,
            1528,
            1529,
            1468,
            1529,
            1469,
            1469,
            1529,
            1530,
            1469,
            1530,
            1470,
            1470,
            1530,
            1531,
            1470,
            1531,
            1471,
            1471,
            1531,
            1532,
            1471,
            1532,
            1472,
            1472,
            1532,
            1533,
            1472,
            1533,
            1473,
            1473,
            1533,
            1534,
            1473,
            1534,
            1474,
            1474,
            1534,
            1535,
            1474,
            1535,
            1475,
            1475,
            1535,
            1536,
            1475,
            1536,
            1476,
            1476,
            1536,
            1537,
            1476,
            1537,
            1477,
            1477,
            1537,
            1538,
            1477,
            1538,
            1478,
            1478,
            1538,
            1539,
            1478,
            1539,
            1479,
            1479,
            1539,
            1540,
            1479,
            1540,
            1480,
            1480,
            1540,
            1541,
            1480,
            1541,
            1481,
            1481,
            1541,
            1542,
            1481,
            1542,
            1482,
            1482,
            1542,
            1543,
            1482,
            1543,
            1483,
            1483,
            1543,
            1544,
            1483,
            1544,
            1484,
            1484,
            1544,
            1545,
            1484,
            1545,
            1485,
            1485,
            1545,
            1546,
            1485,
            1546,
            1486,
            1486,
            1546,
            1547,
            1486,
            1547,
            1487,
            1487,
            1547,
            1548,
            1487,
            1548,
            1488,
            1488,
            1548,
            1549,
            1488,
            1549,
            1489,
            1489,
            1549,
            1550,
            1489,
            1550,
            1490,
            1490,
            1550,
            1551,
            1490,
            1551,
            1491,
            1491,
            1551,
            1552,
            1491,
            1552,
            1492,
            1492,
            1552,
            1553,
            1492,
            1553,
            1493,
            1493,
            1553,
            1554,
            1493,
            1554,
            1494,
            1494,
            1554,
            1555,
            1494,
            1555,
            1495,
            1495,
            1555,
            1556,
            1495,
            1556,
            1496,
            1496,
            1556,
            1557,
            1496,
            1557,
            1497,
            1497,
            1557,
            1558,
            1497,
            1558,
            1498,
            1498,
            1558,
            1559,
            1498,
            1559,
            1499,
            1499,
            1559,
            1560,
            1499,
            1560,
            1500,
            1500,
            1560,
            1561,
            1500,
            1561,
            1501,
            1501,
            1561,
            1562,
            1501,
            1562,
            1502,
            1502,
            1562,
            1563,
            1502,
            1563,
            1503,
            1503,
            1563,
            1564,
            1503,
            1564,
            1504,
            1504,
            1564,
            1565,
            1504,
            1565,
            1505,
            1505,
            1565,
            1566,
            1505,
            1566,
            1506,
            1506,
            1566,
            1567,
            1506,
            1567,
            1507,
            1507,
            1567,
            1568,
            1507,
            1568,
            1508,
            1508,
            1568,
            1569,
            1508,
            1569,
            1509,
            1509,
            1569,
            1570,
            1509,
            1570,
            1510,
            1510,
            1570,
            1571,
            1510,
            1571,
            1511,
            1511,
            1571,
            1572,
            1511,
            1572,
            1512,
            1512,
            1572,
            1573,
            1512,
            1573,
            1513,
            1513,
            1573,
            1574,
            1513,
            1574,
            1514,
            1514,
            1574,
            1575,
            1514,
            1575,
            1515,
            1515,
            1575,
            1576,
            1515,
            1576,
            1516,
            1516,
            1576,
            1577,
            1516,
            1577,
            1517,
            1517,
            1577,
            1578,
            1517,
            1578,
            1518,
            1518,
            1578,
            1579,
            1518,
            1579,
            1519,
            1519,
            1579,
            1580,
            1519,
            1580,
            1520,
            1520,
            1580,
            1581,
            1520,
            1581,
            1521,
            1521,
            1581,
            1582,
            1521,
            1582,
            1522,
            1522,
            1582,
            1583,
            1522,
            1583,
            1523,
            1523,
            1583,
            1584,
            1523,
            1584,
            1524,
            1524,
            1584,
            1585,
            1525,
            1586,
            1526,
            1526,
            1586,
            1587,
            1526,
            1587,
            1527,
            1527,
            1587,
            1588,
            1527,
            1588,
            1528,
            1528,
            1588,
            1589,
            1528,
            1589,
            1529,
            1529,
            1589,
            1590,
            1529,
            1590,
            1530,
            1530,
            1590,
            1591,
            1530,
            1591,
            1531,
            1531,
            1591,
            1592,
            1531,
            1592,
            1532,
            1532,
            1592,
            1593,
            1532,
            1593,
            1533,
            1533,
            1593,
            1594,
            1533,
            1594,
            1534,
            1534,
            1594,
            1595,
            1534,
            1595,
            1535,
            1535,
            1595,
            1596,
            1535,
            1596,
            1536,
            1536,
            1596,
            1597,
            1536,
            1597,
            1537,
            1537,
            1597,
            1598,
            1537,
            1598,
            1538,
            1538,
            1598,
            1599,
            1538,
            1599,
            1539,
            1539,
            1599,
            1600,
            1539,
            1600,
            1540,
            1540,
            1600,
            1601,
            1540,
            1601,
            1541,
            1541,
            1601,
            1602,
            1541,
            1602,
            1542,
            1542,
            1602,
            1603,
            1542,
            1603,
            1543,
            1543,
            1603,
            1604,
            1543,
            1604,
            1544,
            1544,
            1604,
            1605,
            1544,
            1605,
            1545,
            1545,
            1605,
            1606,
            1545,
            1606,
            1546,
            1546,
            1606,
            1607,
            1546,
            1607,
            1547,
            1547,
            1607,
            1608,
            1547,
            1608,
            1548,
            1548,
            1608,
            1609,
            1548,
            1609,
            1549,
            1549,
            1609,
            1610,
            1549,
            1610,
            1550,
            1550,
            1610,
            1611,
            1550,
            1611,
            1551,
            1551,
            1611,
            1612,
            1551,
            1612,
            1552,
            1552,
            1612,
            1613,
            1552,
            1613,
            1553,
            1553,
            1613,
            1614,
            1553,
            1614,
            1554,
            1554,
            1614,
            1615,
            1554,
            1615,
            1555,
            1555,
            1615,
            1616,
            1555,
            1616,
            1556,
            1556,
            1616,
            1617,
            1556,
            1617,
            1557,
            1557,
            1617,
            1618,
            1557,
            1618,
            1558,
            1558,
            1618,
            1619,
            1558,
            1619,
            1559,
            1559,
            1619,
            1620,
            1559,
            1620,
            1560,
            1560,
            1620,
            1621,
            1560,
            1621,
            1561,
            1561,
            1621,
            1622,
            1561,
            1622,
            1562,
            1562,
            1622,
            1623,
            1562,
            1623,
            1563,
            1563,
            1623,
            1624,
            1563,
            1624,
            1564,
            1564,
            1624,
            1625,
            1564,
            1625,
            1565,
            1565,
            1625,
            1626,
            1565,
            1626,
            1566,
            1566,
            1626,
            1627,
            1566,
            1627,
            1567,
            1567,
            1627,
            1628,
            1567,
            1628,
            1568,
            1568,
            1628,
            1629,
            1568,
            1629,
            1569,
            1569,
            1629,
            1630,
            1569,
            1630,
            1570,
            1570,
            1630,
            1631,
            1570,
            1631,
            1571,
            1571,
            1631,
            1632,
            1571,
            1632,
            1572,
            1572,
            1632,
            1633,
            1572,
            1633,
            1573,
            1573,
            1633,
            1634,
            1573,
            1634,
            1574,
            1574,
            1634,
            1635,
            1574,
            1635,
            1575,
            1575,
            1635,
            1636,
            1575,
            1636,
            1576,
            1576,
            1636,
            1637,
            1576,
            1637,
            1577,
            1577,
            1637,
            1638,
            1577,
            1638,
            1578,
            1578,
            1638,
            1639,
            1578,
            1639,
            1579,
            1579,
            1639,
            1640,
            1579,
            1640,
            1580,
            1580,
            1640,
            1641,
            1580,
            1641,
            1581,
            1581,
            1641,
            1642,
            1581,
            1642,
            1582,
            1582,
            1642,
            1643,
            1582,
            1643,
            1583,
            1583,
            1643,
            1644,
            1583,
            1644,
            1584,
            1584,
            1644,
            1645,
            1584,
            1645,
            1585,
            1585,
            1645,
            1646,
            1586,
            1647,
            1587,
            1587,
            1647,
            1648,
            1587,
            1648,
            1588,
            1588,
            1648,
            1649,
            1588,
            1649,
            1589,
            1589,
            1649,
            1650,
            1589,
            1650,
            1590,
            1590,
            1650,
            1651,
            1590,
            1651,
            1591,
            1591,
            1651,
            1652,
            1591,
            1652,
            1592,
            1592,
            1652,
            1653,
            1592,
            1653,
            1593,
            1593,
            1653,
            1654,
            1593,
            1654,
            1594,
            1594,
            1654,
            1655,
            1594,
            1655,
            1595,
            1595,
            1655,
            1656,
            1595,
            1656,
            1596,
            1596,
            1656,
            1657,
            1596,
            1657,
            1597,
            1597,
            1657,
            1658,
            1597,
            1658,
            1598,
            1598,
            1658,
            1659,
            1598,
            1659,
            1599,
            1599,
            1659,
            1660,
            1599,
            1660,
            1600,
            1600,
            1660,
            1661,
            1600,
            1661,
            1601,
            1601,
            1661,
            1662,
            1601,
            1662,
            1602,
            1602,
            1662,
            1663,
            1602,
            1663,
            1603,
            1603,
            1663,
            1664,
            1603,
            1664,
            1604,
            1604,
            1664,
            1665,
            1604,
            1665,
            1605,
            1605,
            1665,
            1666,
            1605,
            1666,
            1606,
            1606,
            1666,
            1667,
            1606,
            1667,
            1607,
            1607,
            1667,
            1668,
            1607,
            1668,
            1608,
            1608,
            1668,
            1669,
            1608,
            1669,
            1609,
            1609,
            1669,
            1670,
            1609,
            1670,
            1610,
            1610,
            1670,
            1671,
            1610,
            1671,
            1611,
            1611,
            1671,
            1672,
            1611,
            1672,
            1612,
            1612,
            1672,
            1673,
            1612,
            1673,
            1613,
            1613,
            1673,
            1674,
            1613,
            1674,
            1614,
            1614,
            1674,
            1675,
            1614,
            1675,
            1615,
            1615,
            1675,
            1676,
            1615,
            1676,
            1616,
            1616,
            1676,
            1677,
            1616,
            1677,
            1617,
            1617,
            1677,
            1678,
            1617,
            1678,
            1618,
            1618,
            1678,
            1679,
            1618,
            1679,
            1619,
            1619,
            1679,
            1680,
            1619,
            1680,
            1620,
            1620,
            1680,
            1681,
            1620,
            1681,
            1621,
            1621,
            1681,
            1682,
            1621,
            1682,
            1622,
            1622,
            1682,
            1683,
            1622,
            1683,
            1623,
            1623,
            1683,
            1684,
            1623,
            1684,
            1624,
            1624,
            1684,
            1685,
            1624,
            1685,
            1625,
            1625,
            1685,
            1686,
            1625,
            1686,
            1626,
            1626,
            1686,
            1687,
            1626,
            1687,
            1627,
            1627,
            1687,
            1688,
            1627,
            1688,
            1628,
            1628,
            1688,
            1689,
            1628,
            1689,
            1629,
            1629,
            1689,
            1690,
            1629,
            1690,
            1630,
            1630,
            1690,
            1691,
            1630,
            1691,
            1631,
            1631,
            1691,
            1692,
            1631,
            1692,
            1632,
            1632,
            1692,
            1693,
            1632,
            1693,
            1633,
            1633,
            1693,
            1694,
            1633,
            1694,
            1634,
            1634,
            1694,
            1695,
            1634,
            1695,
            1635,
            1635,
            1695,
            1696,
            1635,
            1696,
            1636,
            1636,
            1696,
            1697,
            1636,
            1697,
            1637,
            1637,
            1697,
            1698,
            1637,
            1698,
            1638,
            1638,
            1698,
            1699,
            1638,
            1699,
            1639,
            1639,
            1699,
            1700,
            1639,
            1700,
            1640,
            1640,
            1700,
            1701,
            1640,
            1701,
            1641,
            1641,
            1701,
            1702,
            1641,
            1702,
            1642,
            1642,
            1702,
            1703,
            1642,
            1703,
            1643,
            1643,
            1703,
            1704,
            1643,
            1704,
            1644,
            1644,
            1704,
            1705,
            1644,
            1705,
            1645,
            1645,
            1705,
            1706,
            1645,
            1706,
            1646,
            1646,
            1706,
            1707,
            1647,
            1708,
            1648,
            1648,
            1708,
            1709,
            1648,
            1709,
            1649,
            1649,
            1709,
            1710,
            1649,
            1710,
            1650,
            1650,
            1710,
            1711,
            1650,
            1711,
            1651,
            1651,
            1711,
            1712,
            1651,
            1712,
            1652,
            1652,
            1712,
            1713,
            1652,
            1713,
            1653,
            1653,
            1713,
            1714,
            1653,
            1714,
            1654,
            1654,
            1714,
            1715,
            1654,
            1715,
            1655,
            1655,
            1715,
            1716,
            1655,
            1716,
            1656,
            1656,
            1716,
            1717,
            1656,
            1717,
            1657,
            1657,
            1717,
            1718,
            1657,
            1718,
            1658,
            1658,
            1718,
            1719,
            1658,
            1719,
            1659,
            1659,
            1719,
            1720,
            1659,
            1720,
            1660,
            1660,
            1720,
            1721,
            1660,
            1721,
            1661,
            1661,
            1721,
            1722,
            1661,
            1722,
            1662,
            1662,
            1722,
            1723,
            1662,
            1723,
            1663,
            1663,
            1723,
            1724,
            1663,
            1724,
            1664,
            1664,
            1724,
            1725,
            1664,
            1725,
            1665,
            1665,
            1725,
            1726,
            1665,
            1726,
            1666,
            1666,
            1726,
            1727,
            1666,
            1727,
            1667,
            1667,
            1727,
            1728,
            1667,
            1728,
            1668,
            1668,
            1728,
            1729,
            1668,
            1729,
            1669,
            1669,
            1729,
            1730,
            1669,
            1730,
            1670,
            1670,
            1730,
            1731,
            1670,
            1731,
            1671,
            1671,
            1731,
            1732,
            1671,
            1732,
            1672,
            1672,
            1732,
            1733,
            1672,
            1733,
            1673,
            1673,
            1733,
            1734,
            1673,
            1734,
            1674,
            1674,
            1734,
            1735,
            1674,
            1735,
            1675,
            1675,
            1735,
            1736,
            1675,
            1736,
            1676,
            1676,
            1736,
            1737,
            1676,
            1737,
            1677,
            1677,
            1737,
            1738,
            1677,
            1738,
            1678,
            1678,
            1738,
            1739,
            1678,
            1739,
            1679,
            1679,
            1739,
            1740,
            1679,
            1740,
            1680,
            1680,
            1740,
            1741,
            1680,
            1741,
            1681,
            1681,
            1741,
            1742,
            1681,
            1742,
            1682,
            1682,
            1742,
            1743,
            1682,
            1743,
            1683,
            1683,
            1743,
            1744,
            1683,
            1744,
            1684,
            1684,
            1744,
            1745,
            1684,
            1745,
            1685,
            1685,
            1745,
            1746,
            1685,
            1746,
            1686,
            1686,
            1746,
            1747,
            1686,
            1747,
            1687,
            1687,
            1747,
            1748,
            1687,
            1748,
            1688,
            1688,
            1748,
            1749,
            1688,
            1749,
            1689,
            1689,
            1749,
            1750,
            1689,
            1750,
            1690,
            1690,
            1750,
            1751,
            1690,
            1751,
            1691,
            1691,
            1751,
            1752,
            1691,
            1752,
            1692,
            1692,
            1752,
            1753,
            1692,
            1753,
            1693,
            1693,
            1753,
            1754,
            1693,
            1754,
            1694,
            1694,
            1754,
            1755,
            1694,
            1755,
            1695,
            1695,
            1755,
            1756,
            1695,
            1756,
            1696,
            1696,
            1756,
            1757,
            1696,
            1757,
            1697,
            1697,
            1757,
            1758,
            1697,
            1758,
            1698,
            1698,
            1758,
            1759,
            1698,
            1759,
            1699,
            1699,
            1759,
            1760,
            1699,
            1760,
            1700,
            1700,
            1760,
            1761,
            1700,
            1761,
            1701,
            1701,
            1761,
            1762,
            1701,
            1762,
            1702,
            1702,
            1762,
            1763,
            1702,
            1763,
            1703,
            1703,
            1763,
            1764,
            1703,
            1764,
            1704,
            1704,
            1764,
            1765,
            1704,
            1765,
            1705,
            1705,
            1765,
            1766,
            1705,
            1766,
            1706,
            1706,
            1766,
            1767,
            1706,
            1767,
            1707,
            1707,
            1767,
            1768,
            1708,
            1769,
            1709,
            1709,
            1769,
            1770,
            1709,
            1770,
            1710,
            1710,
            1770,
            1771,
            1710,
            1771,
            1711,
            1711,
            1771,
            1772,
            1711,
            1772,
            1712,
            1712,
            1772,
            1773,
            1712,
            1773,
            1713,
            1713,
            1773,
            1774,
            1713,
            1774,
            1714,
            1714,
            1774,
            1775,
            1714,
            1775,
            1715,
            1715,
            1775,
            1776,
            1715,
            1776,
            1716,
            1716,
            1776,
            1777,
            1716,
            1777,
            1717,
            1717,
            1777,
            1778,
            1717,
            1778,
            1718,
            1718,
            1778,
            1779,
            1718,
            1779,
            1719,
            1719,
            1779,
            1780,
            1719,
            1780,
            1720,
            1720,
            1780,
            1781,
            1720,
            1781,
            1721,
            1721,
            1781,
            1782,
            1721,
            1782,
            1722,
            1722,
            1782,
            1783,
            1722,
            1783,
            1723,
            1723,
            1783,
            1784,
            1723,
            1784,
            1724,
            1724,
            1784,
            1785,
            1724,
            1785,
            1725,
            1725,
            1785,
            1786,
            1725,
            1786,
            1726,
            1726,
            1786,
            1787,
            1726,
            1787,
            1727,
            1727,
            1787,
            1788,
            1727,
            1788,
            1728,
            1728,
            1788,
            1789,
            1728,
            1789,
            1729,
            1729,
            1789,
            1790,
            1729,
            1790,
            1730,
            1730,
            1790,
            1791,
            1730,
            1791,
            1731,
            1731,
            1791,
            1792,
            1731,
            1792,
            1732,
            1732,
            1792,
            1793,
            1732,
            1793,
            1733,
            1733,
            1793,
            1794,
            1733,
            1794,
            1734,
            1734,
            1794,
            1795,
            1734,
            1795,
            1735,
            1735,
            1795,
            1796,
            1735,
            1796,
            1736,
            1736,
            1796,
            1797,
            1736,
            1797,
            1737,
            1737,
            1797,
            1798,
            1737,
            1798,
            1738,
            1738,
            1798,
            1799,
            1738,
            1799,
            1739,
            1739,
            1799,
            1800,
            1739,
            1800,
            1740,
            1740,
            1800,
            1801,
            1740,
            1801,
            1741,
            1741,
            1801,
            1802,
            1741,
            1802,
            1742,
            1742,
            1802,
            1803,
            1742,
            1803,
            1743,
            1743,
            1803,
            1804,
            1743,
            1804,
            1744,
            1744,
            1804,
            1805,
            1744,
            1805,
            1745,
            1745,
            1805,
            1806,
            1745,
            1806,
            1746,
            1746,
            1806,
            1807,
            1746,
            1807,
            1747,
            1747,
            1807,
            1808,
            1747,
            1808,
            1748,
            1748,
            1808,
            1809,
            1748,
            1809,
            1749,
            1749,
            1809,
            1810,
            1749,
            1810,
            1750,
            1750,
            1810,
            1811,
            1750,
            1811,
            1751,
            1751,
            1811,
            1812,
            1751,
            1812,
            1752,
            1752,
            1812,
            1813,
            1752,
            1813,
            1753,
            1753,
            1813,
            1814,
            1753,
            1814,
            1754,
            1754,
            1814,
            1815,
            1754,
            1815,
            1755,
            1755,
            1815,
            1816,
            1755,
            1816,
            1756,
            1756,
            1816,
            1817,
            1756,
            1817,
            1757,
            1757,
            1817,
            1818,
            1757,
            1818,
            1758,
            1758,
            1818,
            1819,
            1758,
            1819,
            1759,
            1759,
            1819,
            1820,
            1759,
            1820,
            1760,
            1760,
            1820,
            1821,
            1760,
            1821,
            1761,
            1761,
            1821,
            1822,
            1761,
            1822,
            1762,
            1762,
            1822,
            1823,
            1762,
            1823,
            1763,
            1763,
            1823,
            1824,
            1763,
            1824,
            1764,
            1764,
            1824,
            1825,
            1764,
            1825,
            1765,
            1765,
            1825,
            1826,
            1765,
            1826,
            1766,
            1766,
            1826,
            1827,
            1766,
            1827,
            1767,
            1767,
            1827,
            1828,
            1767,
            1828,
            1768,
            1768,
            1828,
            1829,
            1769,
            1830,
            1770,
            1770,
            1830,
            1831,
            1770,
            1831,
            1771,
            1771,
            1831,
            1832,
            1771,
            1832,
            1772,
            1772,
            1832,
            1833,
            1772,
            1833,
            1773,
            1773,
            1833,
            1834,
            1773,
            1834,
            1774,
            1774,
            1834,
            1835,
            1774,
            1835,
            1775,
            1775,
            1835,
            1836,
            1775,
            1836,
            1776,
            1776,
            1836,
            1837,
            1776,
            1837,
            1777,
            1777,
            1837,
            1838,
            1777,
            1838,
            1778,
            1778,
            1838,
            1839,
            1778,
            1839,
            1779,
            1779,
            1839,
            1840,
            1779,
            1840,
            1780,
            1780,
            1840,
            1841,
            1780,
            1841,
            1781,
            1781,
            1841,
            1842,
            1781,
            1842,
            1782,
            1782,
            1842,
            1843,
            1782,
            1843,
            1783,
            1783,
            1843,
            1844,
            1783,
            1844,
            1784,
            1784,
            1844,
            1845,
            1784,
            1845,
            1785,
            1785,
            1845,
            1846,
            1785,
            1846,
            1786,
            1786,
            1846,
            1847,
            1786,
            1847,
            1787,
            1787,
            1847,
            1848,
            1787,
            1848,
            1788,
            1788,
            1848,
            1849,
            1788,
            1849,
            1789,
            1789,
            1849,
            1850,
            1789,
            1850,
            1790,
            1790,
            1850,
            1851,
            1790,
            1851,
            1791,
            1791,
            1851,
            1852,
            1791,
            1852,
            1792,
            1792,
            1852,
            1853,
            1792,
            1853,
            1793,
            1793,
            1853,
            1854,
            1793,
            1854,
            1794,
            1794,
            1854,
            1855,
            1794,
            1855,
            1795,
            1795,
            1855,
            1856,
            1795,
            1856,
            1796,
            1796,
            1856,
            1857,
            1796,
            1857,
            1797,
            1797,
            1857,
            1858,
            1797,
            1858,
            1798,
            1798,
            1858,
            1859,
            1798,
            1859,
            1799,
            1799,
            1859,
            1860,
            1799,
            1860,
            1800,
            1800,
            1860,
            1861,
            1800,
            1861,
            1801,
            1801,
            1861,
            1862,
            1801,
            1862,
            1802,
            1802,
            1862,
            1863,
            1802,
            1863,
            1803,
            1803,
            1863,
            1864,
            1803,
            1864,
            1804,
            1804,
            1864,
            1865,
            1804,
            1865,
            1805,
            1805,
            1865,
            1866,
            1805,
            1866,
            1806,
            1806,
            1866,
            1867,
            1806,
            1867,
            1807,
            1807,
            1867,
            1868,
            1807,
            1868,
            1808,
            1808,
            1868,
            1869,
            1808,
            1869,
            1809,
            1809,
            1869,
            1870,
            1809,
            1870,
            1810,
            1810,
            1870,
            1871,
            1810,
            1871,
            1811,
            1811,
            1871,
            1872,
            1811,
            1872,
            1812,
            1812,
            1872,
            1873,
            1812,
            1873,
            1813,
            1813,
            1873,
            1874,
            1813,
            1874,
            1814,
            1814,
            1874,
            1875,
            1814,
            1875,
            1815,
            1815,
            1875,
            1876,
            1815,
            1876,
            1816,
            1816,
            1876,
            1877,
            1816,
            1877,
            1817,
            1817,
            1877,
            1878,
            1817,
            1878,
            1818,
            1818,
            1878,
            1879,
            1818,
            1879,
            1819,
            1819,
            1879,
            1880,
            1819,
            1880,
            1820,
            1820,
            1880,
            1881,
            1820,
            1881,
            1821,
            1821,
            1881,
            1882,
            1821,
            1882,
            1822,
            1822,
            1882,
            1883,
            1822,
            1883,
            1823,
            1823,
            1883,
            1884,
            1823,
            1884,
            1824,
            1824,
            1884,
            1885,
            1824,
            1885,
            1825,
            1825,
            1885,
            1886,
            1825,
            1886,
            1826,
            1826,
            1886,
            1887,
            1826,
            1887,
            1827,
            1827,
            1887,
            1888,
            1827,
            1888,
            1828,
            1828,
            1888,
            1889,
            1828,
            1889,
            1829,
            1829,
            1889,
            1890
          ],
          "level": 1.9530777230594112,
          "requestedFilling": 1.0174369273599249,
          "requestedVolumeRadius": 0.302061544446524,
          "displayedVolumeRadius": 0.302061544446524,
          "overfillOpen": true,
          "relativeVolumeResidual": 0,
          "angularMesh": [
            30,
            60
          ]
        },
        "stream": {
          "states": [
            [
              0,
              -0.3092521302349348,
              0,
              0.01,
              0
            ],
            [
              0.005,
              -0.3092021072766597,
              -2.5007092206611915e-07,
              0.01000969654759728,
              -0.00010004314270184308
            ],
            [
              0.01,
              -0.309152028134539,
              -1.000590961372729e-06,
              0.010022474084314451,
              -0.0002001820067533801
            ],
            [
              0.015,
              -0.30910187739450784,
              -2.2520741431075866e-06,
              0.010038336443552105,
              -0.0003004307639405325
            ],
            [
              0.02,
              -0.3090516396205471,
              -4.005105424874056e-06,
              0.010057288573855084,
              -0.00040080361691061675
            ],
            [
              0.025,
              -0.3090012993491047,
              -6.260340873013893e-06,
              0.010079336540201302,
              -0.0005013148079809174
            ],
            [
              0.03,
              -0.308950841083509,
              -9.018507883008447e-06,
              0.010104487525656328,
              -0.0006019786279618437
            ],
            [
              0.035,
              -0.30890024928837356,
              -1.2280405444036654e-05,
              0.010132749833393724,
              -0.0007028094249968532
            ],
            [
              0.04,
              -0.30884950838399117,
              -1.6046904447779107e-05,
              0.010164132889081197,
              -0.0008038216134213276
            ],
            [
              0.045,
              -0.3087986027407142,
              -2.0318948041568465e-05,
              0.010198647243632886,
              -0.0009050296826425927
            ],
            [
              0.05,
              -0.308747516673321,
              -2.50975520259974e-05,
              0.010236304576328117,
              -0.0010064482060432838
            ],
            [
              0.055,
              -0.3086962344353654,
              -3.038380529710633e-05,
              0.010277117698297195,
              -0.001108091849910261
            ],
            [
              0.06,
              -0.308644740213508,
              -3.61788703332842e-05,
              0.010321100556374764,
              -0.0012099753823912882
            ],
            [
              0.065,
              -0.30859301812182727,
              -4.248398372702673e-05,
              0.010368268237321565,
              -0.0013121136824817026
            ],
            [
              0.07,
              -0.3085410521961085,
              -4.93004567617076e-05,
              0.01041863697241545,
              -0.0014145217490433052
            ],
            [
              0.075,
              -0.3084888263881092,
              -5.6629676033529323e-05,
              0.01047222414241262,
              -0.0015172147098577165
            ],
            [
              0.08,
              -0.3084363245597982,
              -6.44731041188318e-05,
              0.01052904828288022,
              -0.0016202078307164546
            ],
            [
              0.085,
              -0.3083835304775677,
              -7.283228028694773e-05,
              0.010589129089901577,
              -0.001723516524550002
            ],
            [
              0.09,
              -0.30833042780641573,
              -8.170882125880557e-05,
              0.010652487426155386,
              -0.001827156360598141
            ],
            [
              0.095,
              -0.30827700010409687,
              -9.11044220114922e-05,
              0.010719145327370344,
              -0.001931143073623854
            ],
            [
              0.1,
              -0.3082232308152405,
              -0.00010102085662899875,
              0.010789126009156883,
              -0.002035492573173097
            ],
            [
              0.105,
              -0.30816910326543306,
              -0.00011145997919938483,
              0.01086245387421767,
              -0.002140220952882772
            ],
            [
              0.11,
              -0.30811460065526425,
              -0.00012242372475860798,
              0.010939154519938758,
              -0.002245344499839234
            ],
            [
              0.115,
              -0.30805970605433325,
              -0.00013391411028127687,
              0.011019254746363392,
              -0.002350879703989701
            ],
            [
              0.12,
              -0.3080044023952155,
              -0.00014593323571859888,
              0.011102782564550467,
              -0.0024568432676089287
            ],
            [
              0.125,
              -0.30794867246738516,
              -0.00015848328508380406,
              0.011189767205319973,
              -0.0025632521148235615
            ],
            [
              0.13,
              -0.3078924989110941,
              -0.00017156652758534014,
              0.011280239128387656,
              -0.0026701234011965542
            ],
            [
              0.135,
              -0.3078358642112034,
              -0.00018518531880814482,
              0.011374230031891466,
              -0.002777474523374117
            ],
            [
              0.14,
              -0.30777875069096705,
              -0.00019934210194331425,
              0.011471772862312235,
              -0.0028853231287976253
            ],
            [
              0.145,
              -0.3077211405057642,
              -0.0002140394090664987,
              0.011572901824791402,
              -0.0029936871254829826
            ],
            [
              0.15,
              -0.30766301563677945,
              -0.00022927986246536872,
              0.01167765239384857,
              -0.003102584691869923
            ],
            [
              0.155,
              -0.30760435788462825,
              -0.0002450661760165081,
              0.011786061324501803,
              -0.003212034286743794
            ],
            [
              0.16,
              -0.30754514886292594,
              -0.0002614011566121022,
              0.011898166663793782,
              -0.0033220546592323476
            ],
            [
              0.165,
              -0.30748536999179754,
              -0.0002782877056368026,
              0.012014007762726996,
              -0.003432664858880129
            ],
            [
              0.17,
              -0.3074250024913277,
              -0.0002957288204951643,
              0.012133625288611274,
              -0.003543884245803055
            ],
            [
              0.17500000000000002,
              -0.30736402737494734,
              -0.00031372759619006024,
              0.01225706123782708,
              -0.003655732500925802
            ],
            [
              0.18,
              -0.3073024254427551,
              -0.0003322872269524967,
              0.01238435894900817,
              -0.003768229636304662
            ],
            [
              0.185,
              -0.3072401772747727,
              -0.0003514110079232612,
              0.012515563116647279,
              -0.0038813960055385493
            ],
            [
              0.19,
              -0.30717726322413086,
              -0.00037110233688685223,
              0.01265071980512862,
              -0.003995252314270862
            ],
            [
              0.195,
              -0.30711366341018326,
              -0.00039136471605815017,
              0.012789876463191158,
              -0.004109819630784937
            ],
            [
              0.2,
              -0.30704935771154834,
              -0.0004122017539223061,
              0.01293308193882673,
              -0.004225119396695875
            ],
            [
              0.20500000000000002,
              -0.30698432575907436,
              -0.0004336171671283365,
              0.01308038649461718,
              -0.004341173437741527
            ],
            [
              0.21,
              -0.3069185469287276,
              -0.00045561478243692587,
              0.013231841823514813,
              -0.004458003974675487
            ],
            [
              0.215,
              -0.30685200033439963,
              -0.0004781985387229561,
              0.01338750106507065,
              -0.004575633634264943
            ],
            [
              0.22,
              -0.30678466482063343,
              -0.0005013724890332927,
              0.01354741882211501,
              -0.00469408546039629
            ],
            [
              0.225,
              -0.3067165189552639,
              -0.0005251408027003754,
              0.01371165117789513,
              -0.004813382925291452
            ],
            [
              0.23,
              -0.3066475410219722,
              -0.0005495077675121721,
              0.01388025571367467,
              -0.004933549940837849
            ],
            [
              0.23500000000000001,
              -0.3065777090127505,
              -0.0005744777919390739,
              0.01405329152680007,
              -0.00505461087003505
            ],
            [
              0.24,
              -0.30650700062027525,
              -0.0006000554074183218,
              0.01423081924923881,
              -0.005176590538561121
            ],
            [
              0.245,
              -0.3064353932301875,
              -0.0006262452706965692,
              0.014412901066594834,
              -0.005299514246461757
            ],
            [
              0.25,
              -0.3063628639132752,
              -0.0006530521662312057,
              0.0145996007376065,
              -0.00542340777996532
            ],
            [
              0.255,
              -0.3062893894175586,
              -0.0006804810086510748,
              0.014790983614132502,
              -0.005548297423426911
            ],
            [
              0.26,
              -0.3062149461602732,
              -0.000708536845277244,
              0.014987116661631461,
              -0.005674209971404704
            ],
            [
              0.265,
              -0.3061395102197495,
              -0.0007372248587044916,
              0.015188068480140902,
              -0.005801172740871723
            ],
            [
              0.27,
              -0.30606305732718675,
              -0.0007665503694441994,
              0.015393909325761554,
              -0.005929213583566382
            ],
            [
              0.275,
              -0.30598556285831785,
              -0.0007965188386293505,
              0.01560471113265298,
              -0.006058360898485061
            ],
            [
              0.28,
              -0.3059070018249629,
              -0.0008271358707823536,
              0.01582054753554675,
              -0.006188643644520094
            ],
            [
              0.28500000000000003,
              -0.305827348866469,
              -0.0008584072166464262,
              0.016041493892783504,
              -0.0063200913532465465
            ],
            [
              0.29,
              -0.3057465782410338,
              -0.0008903387760812926,
              0.016267627309880295,
              -0.006452734141861226
            ],
            [
              0.295,
              -0.30566466381690904,
              -0.0009229366010239629,
              0.016499026663634925,
              -0.006586602726277405
            ],
            [
              0.3,
              -0.30558157906348316,
              -0.0009562068985153834,
              0.01673577262677399,
              -0.006721728434378766
            ],
            [
              0.305,
              -0.3054972970422387,
              -0.0009901560337937623,
              0.016977947693151505,
              -0.006858143219436155
            ],
            [
              0.31,
              -0.30541179039758265,
              -0.0010247905334553927,
              0.0172256362035053,
              -0.006995879673690715
            ],
            [
              0.315,
              -0.3053250313475463,
              -0.0010601170886838161,
              0.01747892437177819,
              -0.007134971042107098
            ],
            [
              0.32,
              -0.3052369916743523,
              -0.0010961425585481832,
              0.017737900312011563,
              -0.007275451236300409
            ],
            [
              0.325,
              -0.3051476427148458,
              -0.001132873973371694,
              0.01800265406581859,
              -0.007417354848640656
            ],
            [
              0.33,
              -0.30505695535078664,
              -0.0011703185381710091,
              0.018273277630445037,
              -0.007560717166538461
            ],
            [
              0.335,
              -0.30496489999899956,
              -0.0012084836361675518,
              0.01854986498742532,
              -0.007705574186915895
            ],
            [
              0.34,
              -0.3048714466013804,
              -0.0012473768323716362,
              0.01883251213184188,
              -0.007851962630866289
            ],
            [
              0.34500000000000003,
              -0.30477656461475333,
              -0.0012870058772403738,
              0.019121317102196052,
              -0.007999919958506943
            ],
            [
              0.35000000000000003,
              -0.3046802230005784,
              -0.0013273787104103338,
              0.019416380010898765,
              -0.008149484384028733
            ],
            [
              0.355,
              -0.3045823902145037,
              -0.0013685034645059535,
              0.01971780307538954,
              -0.00830069489094655
            ],
            [
              0.36,
              -0.3044830341957619,
              -0.0014103884690247097,
              0.020025690649892534,
              -0.008453591247554723
            ],
            [
              0.365,
              -0.30438212235640494,
              -0.0014530422543000906,
              0.020340149257818414,
              -0.008608214022591463
            ],
            [
              0.37,
              -0.3042796215703763,
              -0.0014964735555434176,
              0.020661287624821188,
              -0.008764604601116473
            ],
            [
              0.375,
              -0.3041754981624153,
              -0.0015406913169656,
              0.020989216712519094,
              -0.008922805200605951
            ],
            [
              0.38,
              -0.30406971789679177,
              -0.0015857046959799163,
              0.021324049752889075,
              -0.009082858887269183
            ],
            [
              0.385,
              -0.3039622459658667,
              -0.0016315230674869387,
              0.021665902283344366,
              -0.00924480959259102
            ],
            [
              0.39,
              -0.3038530469784762,
              -0.0016781560282427479,
              0.022014892182505012,
              -0.009408702130104534
            ],
            [
              0.395,
              -0.3037420849481344,
              -0.0017256134013115927,
              0.022371139706671293,
              -0.009574582212398252
            ],
            [
              0.4,
              -0.3036293232810524,
              -0.001773905240604182,
              0.022734767527010237,
              -0.009742496468362314
            ],
            [
              0.405,
              -0.3035147247639695,
              -0.001823041835502815,
              0.023105900767465666,
              -0.009912492460678057
            ],
            [
              0.41000000000000003,
              -0.3033982515517929,
              -0.0018730337155745767,
              0.023484667043402362,
              -0.010084618703555426
            ],
            [
              0.41500000000000004,
              -0.30327986515504257,
              -0.0019238916553738481,
              0.02387119650099518,
              -0.010258924680722805
            ],
            [
              0.42,
              -0.3031595264270971,
              -0.001975626679335409,
              0.02426562185737416,
              -0.010435460863673777
            ],
            [
              0.425,
              -0.30303719555123704,
              -0.002028250066759423,
              0.02466807844153693,
              -0.010614278730175378
            ],
            [
              0.43,
              -0.30291283202748137,
              -0.00208177335688963,
              0.02507870423603995,
              -0.010795430783042527
            ],
            [
              0.435,
              -0.30278639465921425,
              -0.0021362083540860865,
              0.02549763991948028,
              -0.01097897056918322
            ],
            [
              0.44,
              -0.3026578415395968,
              -0.0021915671330938126,
              0.02592502890977997,
              -0.011164952698919211
            ],
            [
              0.445,
              -0.3025271300377603,
              -0.0022478620444087486,
              0.026361017408285253,
              -0.011353432865586823
            ],
            [
              0.45,
              -0.3023942167847774,
              -0.0023051057197424215,
              0.02680575444469317,
              -0.01154446786542272
            ],
            [
              0.455,
              -0.3022590576594064,
              -0.0023633110775867637,
              0.027259391922818288,
              -0.011738115617739278
            ],
            [
              0.46,
              -0.30212160777360403,
              -0.002422491328880542,
              0.02772208466721276,
              -0.011934435185394403
            ],
            [
              0.465,
              -0.30198182145780383,
              -0.0024826599827788825,
              0.028193990470652956,
              -0.012133486795560549
            ],
            [
              0.47000000000000003,
              -0.3018396522459542,
              -0.002543830852527398,
              0.028675270142506416,
              -0.012335331860797742
            ],
            [
              0.47500000000000003,
              -0.30169505286031295,
              -0.0026060180614424513,
              0.029166087557993065,
              -0.012540033000435422
            ],
            [
              0.48,
              -0.30154797519599263,
              -0.0026692360489991088,
              0.02966660970835502,
              -0.012747654062267886
            ],
            [
              0.485,
              -0.30139837030525335,
              -0.002733499577028365,
              0.030177006751949606,
              -0.012958260144568199
            ],
            [
              0.49,
              -0.3012461883815375,
              -0.002798823736025245,
              0.030697452066280547,
              -0.013171917618425327
            ],
            [
              0.495,
              -0.30109137874324177,
              -0.002865223951569408,
              0.03122812230098269,
              -0.013388694150409337
            ],
            [
              0.5,
              -0.3009338898172224,
              -0.0029327159908599104,
              0.03176919743177597,
              -0.013608658725569402
            ],
            [
              0.505,
              -0.30077366912202735,
              -0.0030013159693657956,
              0.03232086081540464,
              -0.013831881670769456
            ],
            [
              0.51,
              -0.300610663250852,
              -0.0030710403575942217,
              0.03288329924557841,
              -0.014058434678366148
            ],
            [
              0.515,
              -0.30044481785421234,
              -0.0031419059879778406,
              0.033456703009932205,
              -0.014288390830233888
            ],
            [
              0.52,
              -0.3002760776223309,
              -0.0032139300618831816,
              0.034041265948022086,
              -0.014521824622141626
            ],
            [
              0.525,
              -0.30010438626722946,
              -0.0032871301567418076,
              0.034637185510374965,
              -0.014758811988485979
            ],
            [
              0.53,
              -0.2999296865045252,
              -0.003361524233306039,
              0.035244662818610516,
              -0.014999430327385325
            ],
            [
              0.535,
              -0.2997519200349216,
              -0.0034371306430310534,
              0.03586390272665395,
              -0.015243758526139337
            ],
            [
              0.54,
              -0.2995710275253928,
              -0.0035139681355852155,
              0.036495113883059045,
              -0.015491876987058438
            ],
            [
              0.545,
              -0.2993869485900512,
              -0.003592055866490482,
              0.03713850879446112,
              -0.015743867653667525
            ],
            [
              0.55,
              -0.2991996217706965,
              -0.0036714134048947693,
              0.037794303890180486,
              -0.01599981403728824
            ],
            [
              0.555,
              -0.2990089845170384,
              -0.003752060741478192,
              0.038462719587997206,
              -0.01625980124400399
            ],
            [
              0.56,
              -0.29881497316658734,
              -0.0038340182964950865,
              0.03914398036111885,
              -0.016523916002011755
            ],
            [
              0.5650000000000001,
              -0.2986175229242072,
              -0.003917306927953775,
              0.03983831480636353,
              -0.01679224668936466
            ],
            [
              0.5700000000000001,
              -0.2984165678413245,
              -0.004001947939936021,
              0.040545955713580974,
              -0.01706488336210911
            ],
            [
              0.5750000000000001,
              -0.29821204079478697,
              -0.004087963091058167,
              0.041267140136335465,
              -0.01734191778282013
            ],
            [
              0.58,
              -0.29800387346536544,
              -0.004175374603075956,
              0.04200210946387487,
              -0.017623443449538468
            ],
            [
              0.585,
              -0.297791996315893,
              -0.004264205169635043,
              0.04275110949441108,
              -0.017909555625112705
            ],
            [
              0.59,
              -0.2975763385690339,
              -0.00435447796516924,
              0.04351439050973771,
              -0.018200351366949596
            ],
            [
              0.595,
              -0.2973568281846769,
              -0.004446216653948536,
              0.044292207351211955,
              -0.018495929557175463
            ],
            [
              0.6,
              -0.2971333918369437,
              -0.004539445399278968,
              0.04508481949712848,
              -0.018796390933211393
            ],
            [
              0.605,
              -0.29690595489080857,
              -0.004634188872856387,
              0.04589249114151393,
              -0.019101838118764675
            ],
            [
              0.61,
              -0.29667444137831944,
              -0.00473047226427625,
              0.04671549127437187,
              -0.019412375655238602
            ],
            [
              0.615,
              -0.2964387739744142,
              -0.004828321290701494,
              0.047554093763408925,
              -0.01972811003356259
            ],
            [
              0.62,
              -0.296198873972325,
              -0.004927762206690623,
              0.048408577437274086,
              -0.02004914972644412
            ],
            [
              0.625,
              -0.29595466125856196,
              -0.005028821814188107,
              0.04927922617034421,
              -0.020375605221043737
            ],
            [
              0.63,
              -0.2957060542874695,
              -0.005131527472679219,
              0.05016632896909008,
              -0.02070758905207407
            ],
            [
              0.635,
              -0.2954529700553464,
              -0.005235907109511428,
              0.05107018006005865,
              -0.021045215835323174
            ],
            [
              0.64,
              -0.29519532407412225,
              -0.005341989230384469,
              0.05199107897950849,
              -0.021388602301602427
            ],
            [
              0.645,
              -0.294933030344581,
              -0.005449802930011211,
              0.05292933066473694,
              -0.021737867331118477
            ],
            [
              0.65,
              -0.2946660013291241,
              -0.005559377902951447,
              0.053885245547138895,
              -0.022093131988268403
            ],
            [
              0.655,
              -0.2943941479240638,
              -0.005670744454620711,
              0.0548591396470389,
              -0.022454519556856723
            ],
            [
              0.66,
              -0.29411737943143695,
              -0.005783933512476235,
              0.05585133467033985,
              -0.022822155575732247
            ],
            [
              0.665,
              -0.2938356035303325,
              -0.005898976637382134,
              0.056862158107033406,
              -0.02319616787484229
            ],
            [
              0.67,
              -0.2935487262477202,
              -0.006015906035155896,
              0.05789194333161917,
              -0.023576686611701085
            ],
            [
              0.675,
              -0.2932566519287734,
              -0.00613475456829824,
              0.05894102970548158,
              -0.023963844308268513
            ],
            [
              0.68,
              -0.292959283206674,
              -0.006255555767908393,
              0.060009762681275766,
              -0.024357775888234616
            ],
            [
              0.685,
              -0.2926565209718914,
              -0.006378343845786785,
              0.06109849390937565,
              -0.024758618714704583
            ],
            [
              0.6900000000000001,
              -0.2923482643409227,
              -0.0065031537067271605,
              0.06220758134644001,
              -0.02516651262827804
            ],
            [
              0.6950000000000001,
              -0.29203441062448615,
              -0.006630020961000057,
              0.06333738936615484,
              -0.025581599985515627
            ],
            [
              0.7000000000000001,
              -0.29171485529515395,
              -0.006758981937029571,
              0.06448828887221275,
              -0.02600402569778494
            ],
            [
              0.705,
              -0.29138949195441516,
              -0.0068900736942652755,
              0.06566065741359312,
              -0.026433937270476868
            ],
            [
              0.71,
              -0.29105821229915596,
              -0.007023334036251134,
              0.06685487930220957,
              -0.026871484842582366
            ],
            [
              0.715,
              -0.29072090608754625,
              -0.007158801523893178,
              0.06807134573299438,
              -0.027316821226618528
            ],
            [
              0.72,
              -0.29037746110431867,
              -0.007296515488927648,
              0.069310454906493,
              -0.027770101948891686
            ],
            [
              0.725,
              -0.2900277631254289,
              -0.007436516047591283,
              0.07057261215404474,
              -0.028231485290083926
            ],
            [
              0.73,
              -0.2896716958820831,
              -0.0075788441144953025,
              0.07185823006563029,
              -0.028701132326148168
            ],
            [
              0.735,
              -0.2893091410241195,
              -0.00772354141670462,
              0.07316772862046945,
              -0.029179206969495365
            ],
            [
              0.74,
              -0.28893997808272964,
              -0.007870650508023672,
              0.0745015353204576,
              -0.029665876010456046
            ],
            [
              0.745,
              -0.28856408443250564,
              -0.008020214783490201,
              0.0758600853265331,
              -0.030161309158996643
            ],
            [
              0.75,
              -0.2881813352527974,
              -0.008172278494078228,
              0.07724382159807273,
              -0.030665679086669475
            ],
            [
              0.755,
              -0.2877916034883655,
              -0.00832688676161129,
              0.07865319503541693,
              -0.031179161468773236
            ],
            [
              0.76,
              -0.28739475980931367,
              -0.008484085593886973,
              0.08008866462563163,
              -0.03170193502669916
            ],
            [
              0.765,
              -0.2869906725702834,
              -0.00864392190001357,
              0.08155069759161956,
              -0.03223418157043575
            ],
            [
              0.77,
              -0.2865792077688949,
              -0.008806443505959605,
              0.08303976954469831,
              -0.032776086041202905
            ],
            [
              0.775,
              -0.28616022900341626,
              -0.00897169917031679,
              0.08455636464077015,
              -0.03332783655418392
            ],
            [
              0.78,
              -0.28573359742964216,
              -0.009139738600276818,
              0.08610097574021341,
              -0.03388962444132139
            ],
            [
              0.785,
              -0.285299171716964,
              -0.0093106124678222,
              0.0876741045716331,
              -0.03446164429414042
            ],
            [
              0.79,
              -0.28485680800361096,
              -0.009484372426131234,
              0.08927626189961518,
              -0.03504409400655981
            ],
            [
              0.795,
              -0.284406359851042,
              -0.009661071126196881,
              0.09090796769663635,
              -0.03563717481764894
            ],
            [
              0.8,
              -0.28394767819746786,
              -0.009840762233659229,
              0.09256975131928942,
              -0.036241091354284875
            ],
            [
              0.805,
              -0.28348061131048036,
              -0.010023500445850866,
              0.09426215168899289,
              -0.036856051673661135
            ],
            [
              0.81,
              -0.28300500473876705,
              -0.010209341509054332,
              0.09598571747736184,
              -0.03748226730559571
            ],
            [
              0.8150000000000001,
              -0.28252070126288664,
              -0.010398342235970477,
              0.09774100729642732,
              -0.03811995329458261
            ],
            [
              0.8200000000000001,
              -0.282027540845081,
              -0.010590560523396344,
              0.09952858989390087,
              -0.038769328241526846
            ],
            [
              0.8250000000000001,
              -0.28152536057809746,
              -0.01078605537011077,
              0.10134904435369188,
              -0.03943061434509891
            ],
            [
              0.8300000000000001,
              -0.28101399463299553,
              -0.010984886894965674,
              0.10320296030189621,
              -0.04010403744264022
            ],
            [
              0.835,
              -0.2804932742059088,
              -0.011187116355180616,
              0.10509093811848684,
              -0.04078982705054613
            ],
            [
              0.84,
              -0.2799630274637343,
              -0.011392806164837782,
              0.10701358915494931,
              -0.041488216404048525
            ],
            [
              0.845,
              -0.27942307948871775,
              -0.011602019913574223,
              0.10897153595811852,
              -0.04219944249631407
            ],
            [
              0.85,
              -0.27887325222190396,
              -0.011814822385467667,
              0.11096541250048719,
              -0.0429237461167692
            ],
            [
              0.855,
              -0.27831336440541865,
              -0.01203127957811186,
              0.1129958644172708,
              -0.04366137188855643
            ],
            [
              0.86,
              -0.2777432315235475,
              -0.012251458721876773,
              0.11506354925053035,
              -0.04441256830502048
            ],
            [
              0.865,
              -0.27716266574257664,
              -0.012475428299348616,
              0.11716913670067011,
              -0.04517758776511578
            ],
            [
              0.87,
              -0.27657147584935576,
              -0.01270325806494394,
              0.1193133088856456,
              -0.04595668660761982
            ],
            [
              0.875,
              -0.27596946718854587,
              -0.01293501906469156,
              0.12149676060823526,
              -0.046750125144029236
            ],
            [
              0.88,
              -0.27535644159850936,
              -0.013170783656175414,
              0.12372019963174939,
              -0.047558167690007126
            ],
            [
              0.885,
              -0.2747321973458,
              -0.013410625528630721,
              0.12598434696457045,
              -0.04838108259524181
            ],
            [
              0.89,
              -0.2740965290582068,
              -0.013654619723185178,
              0.12828993715394105,
              -0.049219142271567824
            ],
            [
              0.895,
              -0.27344922765630525,
              -0.013902842653236068,
              0.1306377185894392,
              -0.05007262321919021
            ],
            [
              0.9,
              -0.27279008028346585,
              -0.014155372124953406,
              0.13302845381660533,
              -0.05094180605084287
            ],
            [
              0.905,
              -0.2721188702342684,
              -0.014412287357898354,
              0.1354629198612114,
              -0.05182697551370054
            ],
            [
              0.91,
              -0.27143537688126657,
              -0.01467366900574514,
              0.13794190856469088,
              -0.05272842050885231
            ],
            [
              0.915,
              -0.2707393756000472,
              -0.014939599177093872,
              0.14046622693127686,
              -0.053646434108131975
            ],
            [
              0.92,
              -0.2700306376925228,
              -0.015210161456360418,
              0.14303669748742737,
              -0.05458131356808713
            ],
            [
              0.925,
              -0.269308930308395,
              -0.015485440924728498,
              0.1456541586541497,
              -0.055533360340854765
            ],
            [
              0.93,
              -0.2685740163647233,
              -0.015765524181147926,
              0.14831946513287067,
              -0.05650288008169582
            ],
            [
              0.935,
              -0.2678256544635282,
              -0.016050499363361594,
              0.1510334883055363,
              -0.05749018265292513
            ],
            [
              0.9400000000000001,
              -0.2670635988073579,
              -0.016340456168942554,
              0.15379711664966478,
              -0.058495582123955586
            ],
            [
              0.9450000000000001,
              -0.26628759911273997,
              -0.016635485876320945,
              0.15661125616911642,
              -0.05951939676715741
            ],
            [
              0.9500000000000001,
              -0.26549740052143855,
              -0.01693568136577913,
              0.15947683084139092,
              -0.06056194904921312
            ],
            [
              0.9550000000000001,
              -0.26469274350943167,
              -0.017241137140391608,
              0.16239478308230648,
              -0.061623565617628266
            ],
            [
              0.96,
              -0.2638733637935205,
              -0.017551949346884668,
              0.165366074228967,
              -0.0627045772820352
            ],
            [
              0.965,
              -0.2630389922354751,
              -0.01786821579638867,
              0.16839168504197577,
              -0.06380531898990316
            ],
            [
              0.97,
              -0.26218935474361976,
              -0.01819003598505412,
              0.17147261622790935,
              -0.0649261297962423
            ],
            [
              0.975,
              -0.2613241721717526,
              -0.018517511114500274,
              0.17460988898312566,
              -0.06606735282686159
            ],
            [
              0.98,
              -0.26044316021529057,
              -0.018850744112062987,
              0.17780454556004338,
              -0.0672293352347114
            ],
            [
              0.985,
              -0.25954602930452436,
              -0.019189839650805934,
              0.18105764985709646,
              -0.06841242814880925
            ],
            [
              0.99,
              -0.2586324844948619,
              -0.019534904169256795,
              0.18437028803363856,
              -0.06961698661521412
            ],
            [
              0.995,
              -0.2577022253539317,
              -0.019886045890827285,
              0.18774356915114881,
              -0.07084336952947809
            ],
            [
              1,
              -0.25675494584541214,
              -0.020243374842872846,
              0.19117862584217077,
              -0.07209193955996472
            ],
            [
              1.0050000000000001,
              -0.2557903342094426,
              -0.020607002875344754,
              0.19467661500850061,
              -0.07336306306138239
            ],
            [
              1.01,
              -0.25480807283946844,
              -0.02097704367898399,
              0.1982387185502342,
              -0.07465710997783517
            ],
            [
              1.0150000000000001,
              -0.2538078381553592,
              -0.021353612803002627,
              0.20186614412737772,
              -0.07597445373464605
            ],
            [
              1.02,
              -0.2527893004726334,
              -0.021736827672194585,
              0.20556012595583062,
              -0.07731547111815486
            ],
            [
              1.025,
              -0.25175212386761464,
              -0.022126807603413578,
              0.2093219256396598,
              -0.07868054214263741
            ],
            [
              1.03,
              -0.2506959660383299,
              -0.022523673821351557,
              0.2131528330417009,
              -0.08007004990343228
            ],
            [
              1.035,
              -0.24962047816095595,
              -0.022927549473546267,
              0.2170541671946476,
              -0.0814843804152965
            ],
            [
              1.04,
              -0.24852530474160328,
              -0.02333855964454152,
              0.22102727725492344,
              -0.08292392243494123
            ],
            [
              1.045,
              -0.24741008346321933,
              -0.02375683136911823,
              0.2250735435017723,
              -0.08438906726662353
            ],
            [
              1.05,
              -0.2462744450273776,
              -0.024182493644508585,
              0.22919437838415588,
              -0.08588020854958779
            ],
            [
              1.055,
              -0.24511801299070696,
              -0.024615677441499347,
              0.23339122761820882,
              -0.08739774202606343
            ],
            [
              1.06,
              -0.24394040359570143,
              -0.025056515714323685,
              0.23766557133817473,
              -0.08894206528842899
            ],
            [
              1.065,
              -0.2427412255956351,
              -0.025505143409233644,
              0.24201892530393174,
              -0.09051357750405055
            ],
            [
              1.07,
              -0.24152008007329107,
              -0.025961697471637655,
              0.24645284216841398,
              -0.09211267911619056
            ],
            [
              1.075,
              -0.24027656025319627,
              -0.02642631685167925,
              0.2509689128084479,
              -0.093739771519262
            ],
            [
              1.08,
              -0.23901025130703576,
              -0.02689914250812401,
              0.25556876772274806,
              -0.09539525670657205
            ],
            [
              1.085,
              -0.23772073015190093,
              -0.027380317410412375,
              0.26025407850106025,
              -0.09707953688855747
            ],
            [
              1.09,
              -0.2364075652410054,
              -0.027869986538725394,
              0.26502655936870073,
              -0.09879301407935924
            ],
            [
              1.095,
              -0.23507031634648026,
              -0.02836829688189937,
              0.26988796881101856,
              -0.1005360896494164
            ],
            [
              1.1,
              -0.2337085343338373,
              -0.028875397433013407,
              0.2748401112826077,
              -0.10230916384157733
            ],
            [
              1.105,
              -0.23232176092766335,
              -0.029391439182460677,
              0.27988483900641703,
              -0.10411263524802744
            ],
            [
              1.11,
              -0.23090952846808357,
              -0.029916575108300352,
              0.2850240538682524,
              -0.10594690024511781
            ],
            [
              1.115,
              -0.22947135965750085,
              -0.030450960163671936,
              0.2902597094125351,
              -0.10781235238294276
            ],
            [
              1.12,
              -0.228006767297091,
              -0.030994751261037283,
              0.29559381294557985,
              -0.10970938172625866
            ],
            [
              1.125,
              -0.22651525401249833,
              -0.03154810725299797,
              0.3010284277530884,
              -0.1116383741430565
            ],
            [
              1.1300000000000001,
              -0.22499631196814399,
              -0.032111188909416395,
              0.3065656754390115,
              -0.1135997105367946
            ],
            [
              1.135,
              -0.2234494225695201,
              -0.03268415889054824,
              0.31220773839343824,
              -0.11559376601796431
            ],
            [
              1.1400000000000001,
              -0.2218740561528055,
              -0.03326718171587144,
              0.3179568623977025,
              -0.11762090901029607
            ],
            [
              1.145,
              -0.22026967166109446,
              -0.033860423728272235,
              0.32381535937548095,
              -0.11968150028651278
            ],
            [
              1.1500000000000001,
              -0.2186357163064853,
              -0.03446405305322239,
              0.3297856102992829,
              -0.12177589192809989
            ],
            [
              1.155,
              -0.21697162521722793,
              -0.03507823955255299,
              0.33587006826240867,
              -0.12390442620308033
            ],
            [
              1.16,
              -0.21527682106907464,
              -0.03570315477239849,
              0.3420712617271863,
              -0.1260674343552554
            ],
            [
              1.165,
              -0.21355071369992581,
              -0.036338971884851065,
              0.34839179796109015,
              -0.12826523529779293
            ],
            [
              1.17,
              -0.21179269970679906,
              -0.03698586562282762,
              0.3548343666732014,
              -0.13049813420340758
            ],
            [
              1.175,
              -0.21000216202408764,
              -0.037644012207611856,
              0.36140174386440393,
              -0.1327664209826763
            ],
            [
              1.18,
              -0.20817846948200402,
              -0.03831358926848904,
              0.3680967959057175,
              -0.1350703686412607
            ],
            [
              1.185,
              -0.20632097634402896,
              -0.0389947757538435,
              0.3749224838602662,
              -0.13741023150595655
            ],
            [
              1.19,
              -0.20442902182210748,
              -0.03968775183303558,
              0.3818818680655725,
              -0.13978624330855083
            ],
            [
              1.195,
              -0.2025019295682452,
              -0.04039269878831756,
              0.38897811299416163,
              -0.14219861511543058
            ],
            [
              1.2,
              -0.20053900714106582,
              -0.041109798895984706,
              0.39621449241187146,
              -0.1446475330897391
            ],
            [
              1.205,
              -0.1985395454457896,
              -0.04183923529588866,
              0.4035943948547991,
              -0.14713315607160696
            ],
            [
              1.21,
              -0.19650281814598375,
              -0.04258119184836436,
              0.41112132944748886,
              -0.14965561296057836
            ],
            [
              1.215,
              -0.19442808104531803,
              -0.043335852977538586,
              0.4187989320867944,
              -0.15221499988279352
            ],
            [
              1.22,
              -0.19231457143743272,
              -0.044103403499896776,
              0.4266309720178421,
              -0.15481137712375698
            ],
            [
              1.225,
              -0.190161507421887,
              -0.04488402843688416,
              0.43462135883070496,
              -0.15744476580559688
            ],
            [
              1.23,
              -0.18796808718400826,
              -0.045677912810206396,
              0.4427741499087819,
              -0.16011514428557996
            ],
            [
              1.235,
              -0.18573348823630093,
              -0.046485241418373215,
              0.4510935583624918,
              -0.16282244425026238
            ],
            [
              1.24,
              -0.18345686661889798,
              -0.04730619859289342,
              0.4595839614847559,
              -0.16556654647699723
            ],
            [
              1.245,
              -0.18113735605634884,
              -0.04814096793238154,
              0.4682499097678847,
              -0.16834727623155196
            ],
            [
              1.25,
              -0.17877406706783033,
              -0.04898973201267146,
              0.4770961365249415,
              -0.17116439826727028
            ],
            [
              1.2550000000000001,
              -0.17636608602764295,
              -0.04985267207085086,
              0.486127568162444,
              -0.1740176113875001
            ],
            [
              1.26,
              -0.17391247417260963,
              -0.050729967660928486,
              0.495349335155449,
              -0.17690654252884905
            ],
            [
              1.2650000000000001,
              -0.17141226655272845,
              -0.051621796278622636,
              0.5047667837806596,
              -0.17983074031816018
            ],
            [
              1.27,
              -0.16886447092113932,
              -0.05252833295251095,
              0.5143854886682726,
              -0.18278966805085664
            ],
            [
              1.2750000000000001,
              -0.16626806655914755,
              -0.05344974979850534,
              0.5242112662388817,
              -0.18578269603240424
            ],
            [
              1.28,
              -0.16362200303170066,
              -0.05438621553430826,
              0.5342501890979392,
              -0.18880909321799494
            ],
            [
              1.285,
              -0.1609251988683353,
              -0.05533789495016386,
              0.5445086014671282,
              -0.19186801807805678
            ],
            [
              1.29,
              -0.15817654016419555,
              -0.056304948331834706,
              0.554993135739572,
              -0.19495850860872485
            ],
            [
              1.295,
              -0.15537487909526865,
              -0.05728753083130689,
              0.5657107302542173,
              -0.19807947139682514
            ],
            [
              1.3,
              -0.15251903234148512,
              -0.05828579178024783,
              0.576668648394048,
              -0.20122966963806208
            ],
            [
              1.305,
              -0.14960777941078102,
              -0.05929987394070401,
              0.5878744991231538,
              -0.2044077099947753
            ],
            [
              1.31,
              -0.14663986085661632,
              -0.06032991268692369,
              0.5993362590892023,
              -0.2076120281656186
            ],
            [
              1.315,
              -0.14361397638078013,
              -0.061376035111512205,
              0.6110622964306965,
              -0.2108408730235598
            ],
            [
              1.32,
              -0.14052878281258052,
              -0.062438359048365144,
              0.6230613964427155,
              -0.21409228916040013
            ],
            [
              1.325,
              -0.1373828919547098,
              -0.06351699200396471,
              0.635342789270803,
              -0.21736409765521789
            ],
            [
              1.33,
              -0.13417486828518285,
              -0.06461202998765353,
              0.6479161798205236,
              -0.22065387486033722
            ],
            [
              1.335,
              -0.13090322650376118,
              -0.0657235562304014,
              0.6607917800901731,
              -0.22395892897112513
            ],
            [
              1.34,
              -0.1275664289101815,
              -0.06685163978033558,
              0.6739803441564991,
              -0.2272762741145537
            ],
            [
              1.345,
              -0.12416288260029733,
              -0.06799633396189153,
              0.687493206068375,
              -0.23060260165535484
            ],
            [
              1.35,
              -0.12069093646489948,
              -0.06915767468383374,
              0.7013423209315377,
              -0.2339342483769384
            ],
            [
              1.355,
              -0.11714887797448606,
              -0.07033567857956435,
              0.7155403094991506,
              -0.2372671611460906
            ],
            [
              1.36,
              -0.11353492973159325,
              -0.07153034096104689,
              0.7301005066185962,
              -0.24059685761468297
            ],
            [
              1.365,
              -0.10984724577044692,
              -0.07274163356528009,
              0.7450370139250281,
              -0.24391838244685446
            ],
            [
              1.37,
              -0.10608390758163189,
              -0.07396950206951586,
              0.7603647572175002,
              -0.24722625848475532
            ],
            [
              1.375,
              -0.10224291983717097,
              -0.07521386334826667,
              0.7760995490046003,
              -0.25051443217802893
            ],
            [
              1.3800000000000001,
              -0.09832220578883055,
              -0.07647460244152328,
              0.7922581567642994,
              -0.2537762124994089
            ],
            [
              1.385,
              -0.09431960230958486,
              -0.07775156919942249,
              0.8088583775280892,
              -0.2570042024483156
            ],
            [
              1.3900000000000001,
              -0.09023285454494043,
              -0.0790445745637692,
              0.8259191194734984,
              -0.2601902221027239
            ],
            [
              1.395,
              -0.08605961013719599,
              -0.08035338644121363,
              0.8434604912929562,
              -0.26332522201270775
            ],
            [
              1.4000000000000001,
              -0.08179741298164053,
              -0.08167772511637131,
              0.8615039002020802,
              -0.26639918553189423
            ],
            [
              1.405,
              -0.07744369646911281,
              -0.08301725814558802,
              0.8800721595583803,
              -0.2694010184494109
            ],
            [
              1.41,
              -0.07299577616419085,
              -0.08437159466319054,
              0.8991896071838325,
              -0.2723184240072239
            ],
            [
              1.415,
              -0.06845084186247263,
              -0.08574027902168499,
              0.9188822356237714,
              -0.27513776105673154
            ],
            [
              1.42,
              -0.06380594896386095,
              -0.08712278367517447,
              0.9391778357322561,
              -0.27784388271260363
            ],
            [
              1.425,
              -0.05905800909137683,
              -0.08851850120090621,
              0.9601061551529025,
              -0.2804199523868923
            ],
            [
              1.43,
              -0.05420377987668493,
              -0.089926735336889,
              0.9816990734667177,
              -0.2828472335146609
            ],
            [
              1.435,
              -0.04923985382409595,
              -0.09134669089340558,
              1.0039907960074677,
              -0.2851048485916255
            ],
            [
              1.44,
              -0.0441626461541757,
              -0.09277746237232146,
              1.0270180686033075,
              -0.2871695023068118
            ],
            [
              1.445,
              -0.038968381516085115,
              -0.09421802109954266,
              1.0508204157934298,
              -0.2890151625339846
            ],
            [
              1.45,
              -0.03365307944423685,
              -0.09566720064178529,
              1.0754404053925029,
              -0.2906126917003432
            ],
            [
              1.455,
              -0.02821253841960611,
              -0.09712368023772455,
              1.1009239426349846,
              -0.29192941952341833
            ],
            [
              1.46,
              -0.022642318378902022,
              -0.09858596592400679,
              1.127320597525622,
              -0.29292864622540415
            ],
            [
              1.465,
              -0.016937721495620943,
              -0.10005236897654164,
              1.1546839694485116,
              -0.2935690630061472
            ],
            [
              1.47,
              -0.011093771035623383,
              -0.10152098121443039,
              1.1830720935373755,
              -0.29380407366286154
            ],
            [
              1.475,
              -0.0051051880662130325,
              -0.10298964662463239,
              1.2125478937694951,
              -0.2935809976323785
            ],
            [
              1.48,
              0.0010336342282385269,
              -0.10445592865595417,
              1.2431796881891537,
              -0.29284013019983235
            ],
            [
              1.485,
              0.007328658899103486,
              -0.10591707239593667,
              1.2750417520502018,
              -0.29151362990355606
            ],
            [
              1.49,
              0.013786236559384745,
              -0.10736996067698215,
              1.3082149449215617,
              -0.28952419592392964
            ],
            [
              1.495,
              0.020413140017700497,
              -0.10881106294987318,
              1.3427874078129514,
              -0.28678348901640793
            ],
            [
              1.5,
              0.02721660258489148,
              -0.11023637550231433,
              1.3788553359763562,
              -0.28319023772686686
            ],
            [
              1.5050000000000001,
              0.03420436044369122,
              -0.11164135127236309,
              1.416523831949713,
              -0.2786279563954552
            ],
            [
              1.51,
              0.041384699489811064,
              -0.1130208170919515,
              1.4559078412099018,
              -0.2729621817160153
            ],
            [
              1.5150000000000001,
              0.04876650705562543,
              -0.11436887566807803,
              1.4971331688353169,
              -0.2660371088869449
            ],
            [
              1.52,
              0.05635932890419297,
              -0.11567878893391827,
              1.5403375688215546,
              -0.2576714746464669
            ],
            [
              1.5250000000000001,
              0.0641734318139736,
              -0.11694283853246687,
              1.5856718865511084,
              -0.24765348997073228
            ],
            [
              1.53,
              0.07221987193558317,
              -0.11815215806855821,
              1.633301216886694,
              -0.23573456614048025
            ],
            [
              1.5350000000000001,
              0.08051056884770713,
              -0.1192965302960964,
              1.6834060114903937,
              -0.2216214990410474
            ],
            [
              1.54,
              0.08905838480123049,
              -0.1203641404802293,
              1.7361830229977806,
              -0.20496667077394823
            ],
            [
              1.545,
              0.09787720791009598,
              -0.12134127463091475,
              1.7918459005629632,
              -0.18535568505247638
            ],
            [
              1.55,
              0.10698203685142407,
              -0.12221194792872522,
              1.85062513483852,
              -0.16229165992233446
            ],
            [
              1.555,
              0.11638906269875123,
              -0.12295744416079064,
              1.9127668642765017,
              -0.13517513984591073
            ],
            [
              1.56,
              0.1261157403827927,
              -0.12355574095411281,
              1.9785297553420909,
              -0.1032782350740584
            ],
            [
              1.565,
              0.1361808372235381,
              -0.12398078749901777,
              2.0481786847926435,
              -0.06571111933585211
            ],
            [
              1.57,
              0.14660443780443339,
              -0.12420159059866465,
              2.121973161955023,
              -0.02137838312683714
            ],
            [
              1.575,
              0.15740787117042515,
              -0.12418105039934152,
              2.2001471293249177,
              0.031078079447928793
            ],
            [
              1.58,
              0.16861350459214977,
              -0.12387446810903045,
              2.282874625388539,
              0.09335397336497933
            ],
            [
              1.585,
              0.18024431233693816,
              -0.12322762369003197,
              2.3702121980371182,
              0.167580693469409
            ],
            [
              1.59,
              0.19232306856068618,
              -0.12217429233033565,
              2.4620029333279607,
              0.2564527665418076
            ],
            [
              1.595,
              0.2048709147115632,
              -0.12063303827996817,
              2.557716892125954,
              0.36339018211605006
            ],
            [
              1.6,
              0.2179048876177555,
              -0.11850310616998648,
              2.656186122708793,
              0.4927363925214681
            ],
            [
              1.605,
              0.23143372387688116,
              -0.11565925800282159,
              2.7551659323146844,
              0.6499772961318798
            ],
            [
              1.61,
              0.24545082279785385,
              -0.11194556477580277,
              2.850615394389018,
              0.841925309903591
            ],
            [
              1.615,
              0.25992260197227746,
              -0.10716865462565749,
              2.935545579674223,
              1.0767136029786633
            ],
            [
              1.62,
              0.2747696670234041,
              -0.10109217032816255,
              2.99827541068416,
              1.3632288237154278
            ],
            [
              1.625,
              0.2898377232723939,
              -0.09343698310934695,
              3.020111433352192,
              1.7091994426766737
            ],
            [
              1.6300000000000001,
              0.30485675811630086,
              -0.08389702319091653,
              2.973222825235472,
              2.1165977337455537
            ],
            [
              1.635,
              0.3193952032371696,
              -0.0721878372996615,
              2.8214614234461877,
              2.5730288401339543
            ],
            [
              1.6357133506387471,
              0.32139651201357816,
              -0.070328371957836,
              2.789060398366206,
              2.640333112080962
            ]
          ],
          "initialJacobi": 3.9060556092645236,
          "maximumJacobiError": 1.9200062345647838e-08,
          "ending": "supplied-companion-surface",
          "duration": 1.6357133506387471,
          "step": 0.001,
          "companionRadius": 0.079519124808,
          "ownerExclusionRadius": 0.06,
          "timeMeaning": "Frozen current-binary orbital angular-frequency units; independent of removed mass",
          "masslessTestTrajectories": true
        },
        "adiabatic": {
          "status": "local-detachment",
          "stellarResponse": -0.3333333333333333,
          "exactHull": [
            -0.8382863123979709,
            -0.8382861419022904
          ],
          "fittedLobeResponse": -0.8445793740825587,
          "exactLobeResponse": -0.8382862271501306,
          "signedMargin": 0.5049528085689572,
          "numericalCertificate": false
        },
        "thermal": {
          "status": "local-detachment",
          "stellarResponse": 0,
          "exactHull": [
            -0.8382863123979709,
            -0.8382861419022904
          ],
          "fittedLobeResponse": -0.8445793740825587,
          "exactLobeResponse": -0.8382862271501306,
          "signedMargin": 0.8382861419022904,
          "numericalCertificate": false
        },
        "showsOverflowTracers": true,
        "massSequence": [
          {
            "fraction": 0,
            "removed": 0,
            "donor": 0.4,
            "accretor": 1,
            "escapedMass": 0,
            "massRatio": 0.4,
            "separation": 1,
            "periodRatio": 1,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2,
            "orbitalEnergyChange": 0,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0008,
            "removed": 0.00032,
            "donor": 0.39968000000000004,
            "accretor": 1.00032,
            "escapedMass": 0,
            "massRatio": 0.39955214331413946,
            "separation": 1.000961204380819,
            "periodRatio": 1.001442152983442,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19971198476534155,
            "orbitalEnergyChange": 0.0002880152346584619,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0016,
            "removed": 0.00064,
            "donor": 0.39936000000000005,
            "accretor": 1.00064,
            "escapedMass": 0,
            "massRatio": 0.3991045730732332,
            "separation": 1.001924822255936,
            "periodRatio": 1.002888622291285,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19942393956276316,
            "orbitalEnergyChange": 0.0005760604372368472,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0024,
            "removed": 0.0009599999999999999,
            "donor": 0.39904,
            "accretor": 1.00096,
            "escapedMass": 0,
            "massRatio": 0.39865728900255754,
            "separation": 1.0028908607455187,
            "periodRatio": 1.0043394235134098,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19913586514442908,
            "orbitalEnergyChange": 0.0008641348555709361,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0032,
            "removed": 0.00128,
            "donor": 0.39872,
            "accretor": 1.00128,
            "escapedMass": 0,
            "massRatio": 0.3982102908277405,
            "separation": 1.003859326998073,
            "periodRatio": 1.0057945723114794,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19884776226259357,
            "orbitalEnergyChange": 0.0011522377374064419,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.004,
            "removed": 0.0016,
            "donor": 0.39840000000000003,
            "accretor": 1.0016,
            "escapedMass": 0,
            "massRatio": 0.3977635782747604,
            "separation": 1.0048302281905788,
            "periodRatio": 1.0072540844193254,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1985596316695986,
            "orbitalEnergyChange": 0.0014403683304013981,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0048,
            "removed": 0.0019199999999999998,
            "donor": 0.39808000000000004,
            "accretor": 1.00192,
            "escapedMass": 0,
            "massRatio": 0.3973171510699458,
            "separation": 1.0058035715286266,
            "periodRatio": 1.008717975643343,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1982714741178707,
            "orbitalEnergyChange": 0.0017285258821293226,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.005600000000000001,
            "removed": 0.0022400000000000002,
            "donor": 0.39776,
            "accretor": 1.00224,
            "escapedMass": 0,
            "massRatio": 0.39687100893997446,
            "separation": 1.0067793642465466,
            "periodRatio": 1.0101862618628745,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19798329035992032,
            "orbitalEnergyChange": 0.002016709640079689,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0064,
            "removed": 0.00256,
            "donor": 0.39744,
            "accretor": 1.00256,
            "escapedMass": 0,
            "massRatio": 0.39642515161187364,
            "separation": 1.0077576136075501,
            "periodRatio": 1.0116589590306124,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19769508114833792,
            "orbitalEnergyChange": 0.002304918851662091,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0072,
            "removed": 0.00288,
            "donor": 0.39712000000000003,
            "accretor": 1.00288,
            "escapedMass": 0,
            "massRatio": 0.39597957881301854,
            "separation": 1.0087383269038614,
            "periodRatio": 1.0131360831729894,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19740684723579302,
            "orbitalEnergyChange": 0.0025931527642069907,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.008,
            "removed": 0.0032,
            "donor": 0.39680000000000004,
            "accretor": 1.0032,
            "escapedMass": 0,
            "massRatio": 0.3955342902711324,
            "separation": 1.0097215114568585,
            "periodRatio": 1.014617650390583,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1971185893750309,
            "orbitalEnergyChange": 0.002881410624969105,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0088,
            "removed": 0.0035200000000000006,
            "donor": 0.39648,
            "accretor": 1.00352,
            "escapedMass": 0,
            "massRatio": 0.3950892857142857,
            "separation": 1.0107071746172096,
            "periodRatio": 1.016103676858517,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19683030831887066,
            "orbitalEnergyChange": 0.0031696916811293496,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0096,
            "removed": 0.0038399999999999997,
            "donor": 0.39616,
            "accretor": 1.00384,
            "escapedMass": 0,
            "massRatio": 0.3946445648708957,
            "separation": 1.0116953237650106,
            "periodRatio": 1.0175941788268617,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19654200482020345,
            "orbitalEnergyChange": 0.003457995179796558,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0104,
            "removed": 0.00416,
            "donor": 0.39584,
            "accretor": 1.00416,
            "escapedMass": 0,
            "massRatio": 0.394200127469726,
            "separation": 1.0126859663099266,
            "periodRatio": 1.0190891726210463,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19625367963198947,
            "orbitalEnergyChange": 0.003746320368010536,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.011200000000000002,
            "removed": 0.0044800000000000005,
            "donor": 0.39552000000000004,
            "accretor": 1.00448,
            "escapedMass": 0,
            "massRatio": 0.3937559732398853,
            "separation": 1.0136791096913316,
            "periodRatio": 1.0205886746422663,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1959653335072559,
            "orbitalEnergyChange": 0.004034666492744116,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.012,
            "removed": 0.0048000000000000004,
            "donor": 0.3952,
            "accretor": 1.0048,
            "escapedMass": 0,
            "massRatio": 0.39331210191082805,
            "separation": 1.0146747613784497,
            "periodRatio": 1.0220927013678975,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19567696719909453,
            "orbitalEnergyChange": 0.004323032800905485,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0128,
            "removed": 0.00512,
            "donor": 0.39488,
            "accretor": 1.00512,
            "escapedMass": 0,
            "massRatio": 0.3928685132123528,
            "separation": 1.0156729288704953,
            "periodRatio": 1.0236012693519063,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1953885814606601,
            "orbitalEnergyChange": 0.004611418539339912,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.013600000000000001,
            "removed": 0.00544,
            "donor": 0.39456,
            "accretor": 1.0054400000000001,
            "escapedMass": 0,
            "massRatio": 0.39242520687460214,
            "separation": 1.0166736196968191,
            "periodRatio": 1.0251143952252737,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19510017704516683,
            "orbitalEnergyChange": 0.004899822954833183,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0144,
            "removed": 0.00576,
            "donor": 0.39424000000000003,
            "accretor": 1.00576,
            "escapedMass": 0,
            "massRatio": 0.3919821826280624,
            "separation": 1.0176768414170485,
            "periodRatio": 1.026632095696411,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1948117547058871,
            "orbitalEnergyChange": 0.005188245294112909,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0152,
            "removed": 0.00608,
            "donor": 0.39392000000000005,
            "accretor": 1.00608,
            "escapedMass": 0,
            "massRatio": 0.39153944020356235,
            "separation": 1.0186826016212331,
            "periodRatio": 1.0281543875515835,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19452331519614882,
            "orbitalEnergyChange": 0.0054766848038511895,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.016,
            "removed": 0.0064,
            "donor": 0.3936,
            "accretor": 1.0064,
            "escapedMass": 0,
            "massRatio": 0.3910969793322735,
            "separation": 1.019690907929991,
            "periodRatio": 1.0296812876553383,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19423485926933282,
            "orbitalEnergyChange": 0.005765140730667195,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0168,
            "removed": 0.00672,
            "donor": 0.39328,
            "accretor": 1.00672,
            "escapedMass": 0,
            "massRatio": 0.3906547997457088,
            "separation": 1.020701767994651,
            "periodRatio": 1.0312128129509275,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19394638767887137,
            "orbitalEnergyChange": 0.0060536123211286375,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0176,
            "removed": 0.007040000000000001,
            "donor": 0.39296000000000003,
            "accretor": 1.00704,
            "escapedMass": 0,
            "massRatio": 0.390212901175723,
            "separation": 1.0217151894974041,
            "periodRatio": 1.0327489804607448,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19365790117824486,
            "orbitalEnergyChange": 0.006342098821755154,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0184,
            "removed": 0.00736,
            "donor": 0.39264000000000004,
            "accretor": 1.00736,
            "escapedMass": 0,
            "massRatio": 0.38977128335451083,
            "separation": 1.0227311801514478,
            "periodRatio": 1.0342898072867557,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19336940052098017,
            "orbitalEnergyChange": 0.006630599479019839,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0192,
            "removed": 0.007679999999999999,
            "donor": 0.39232,
            "accretor": 1.00768,
            "escapedMass": 0,
            "massRatio": 0.38932994601460785,
            "separation": 1.0237497477011361,
            "periodRatio": 1.0358353106109357,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1930808864606479,
            "orbitalEnergyChange": 0.006919113539352123,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.02,
            "removed": 0.008,
            "donor": 0.392,
            "accretor": 1.008,
            "escapedMass": 0,
            "massRatio": 0.3888888888888889,
            "separation": 1.0247708999221266,
            "periodRatio": 1.0373855076957064,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19279235975086081,
            "orbitalEnergyChange": 0.007207640249139197,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0208,
            "removed": 0.00832,
            "donor": 0.39168000000000003,
            "accretor": 1.00832,
            "escapedMass": 0,
            "massRatio": 0.38844811171056803,
            "separation": 1.0257946446215345,
            "periodRatio": 1.038940415884383,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19250382114527034,
            "orbitalEnergyChange": 0.007496178854729668,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0216,
            "removed": 0.00864,
            "donor": 0.39136000000000004,
            "accretor": 1.00864,
            "escapedMass": 0,
            "massRatio": 0.388007614213198,
            "separation": 1.026820989638079,
            "periodRatio": 1.0405000526016128,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19221527139756533,
            "orbitalEnergyChange": 0.007784728602434676,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.022400000000000003,
            "removed": 0.008960000000000001,
            "donor": 0.39104,
            "accretor": 1.00896,
            "escapedMass": 0,
            "massRatio": 0.38756739613066915,
            "separation": 1.0278499428422394,
            "periodRatio": 1.0420644353538282,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1919267112614691,
            "orbitalEnergyChange": 0.008073288738530915,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0232,
            "removed": 0.00928,
            "donor": 0.39072,
            "accretor": 1.00928,
            "escapedMass": 0,
            "massRatio": 0.3871274571972099,
            "separation": 1.028881512136403,
            "periodRatio": 1.0436335817296924,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19163814149073755,
            "orbitalEnergyChange": 0.008361858509262465,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.024,
            "removed": 0.009600000000000001,
            "donor": 0.3904,
            "accretor": 1.0096,
            "escapedMass": 0,
            "massRatio": 0.3866877971473851,
            "separation": 1.0299157054550234,
            "periodRatio": 1.0452075094005573,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19134956283915633,
            "orbitalEnergyChange": 0.008650437160843683,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0248,
            "removed": 0.00992,
            "donor": 0.39008000000000004,
            "accretor": 1.00992,
            "escapedMass": 0,
            "massRatio": 0.3862484157160964,
            "separation": 1.030952530764772,
            "periodRatio": 1.0467862361209168,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19106097606053882,
            "orbitalEnergyChange": 0.008939023939461194,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0256,
            "removed": 0.01024,
            "donor": 0.38976,
            "accretor": 1.01024,
            "escapedMass": 0,
            "massRatio": 0.3858093126385809,
            "separation": 1.031991996064694,
            "periodRatio": 1.0483697797288665,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19077238190872384,
            "orbitalEnergyChange": 0.009227618091276174,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0264,
            "removed": 0.01056,
            "donor": 0.38944,
            "accretor": 1.01056,
            "escapedMass": 0,
            "massRatio": 0.3853704876504117,
            "separation": 1.033034109386365,
            "periodRatio": 1.0499581581465678,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19048378113757297,
            "orbitalEnergyChange": 0.00951621886242704,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.027200000000000002,
            "removed": 0.01088,
            "donor": 0.38912,
            "accretor": 1.01088,
            "escapedMass": 0,
            "massRatio": 0.38493194048749607,
            "separation": 1.0340788787940465,
            "periodRatio": 1.0515513893807074,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.19019517450096898,
            "orbitalEnergyChange": 0.009804825499031028,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.028000000000000004,
            "removed": 0.011200000000000002,
            "donor": 0.38880000000000003,
            "accretor": 1.0112,
            "escapedMass": 0,
            "massRatio": 0.38449367088607594,
            "separation": 1.0351263123848466,
            "periodRatio": 1.053149491522974,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18990656275281229,
            "orbitalEnergyChange": 0.010093437247187725,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0288,
            "removed": 0.01152,
            "donor": 0.38848000000000005,
            "accretor": 1.01152,
            "escapedMass": 0,
            "massRatio": 0.38405567858272704,
            "separation": 1.0361764182888766,
            "periodRatio": 1.0547524827505226,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18961794664701956,
            "orbitalEnergyChange": 0.010382053352980453,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0296,
            "removed": 0.011840000000000002,
            "donor": 0.38816,
            "accretor": 1.01184,
            "escapedMass": 0,
            "massRatio": 0.383617963314358,
            "separation": 1.0372292046694112,
            "periodRatio": 1.0563603813264502,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18932932693752116,
            "orbitalEnergyChange": 0.010670673062478847,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0304,
            "removed": 0.01216,
            "donor": 0.38784,
            "accretor": 1.01216,
            "escapedMass": 0,
            "massRatio": 0.3831805248182106,
            "separation": 1.038284679723049,
            "periodRatio": 1.057973205600273,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1890407043782588,
            "orbitalEnergyChange": 0.010959295621741222,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.031200000000000002,
            "removed": 0.012480000000000002,
            "donor": 0.38752000000000003,
            "accretor": 1.01248,
            "escapedMass": 0,
            "massRatio": 0.38274336283185845,
            "separation": 1.039342851679875,
            "periodRatio": 1.059590974008408,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1887520797231829,
            "orbitalEnergyChange": 0.01124792027681712,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.032,
            "removed": 0.0128,
            "donor": 0.38720000000000004,
            "accretor": 1.0128,
            "escapedMass": 0,
            "massRatio": 0.38230647709320703,
            "separation": 1.040403728803623,
            "periodRatio": 1.0612137050746548,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18846345372625045,
            "orbitalEnergyChange": 0.01153654627374956,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0328,
            "removed": 0.013120000000000001,
            "donor": 0.38688,
            "accretor": 1.01312,
            "escapedMass": 0,
            "massRatio": 0.3818698673404927,
            "separation": 1.0414673193918385,
            "periodRatio": 1.0628414174106837,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18817482714142264,
            "orbitalEnergyChange": 0.01182517285857737,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0336,
            "removed": 0.01344,
            "donor": 0.38656,
            "accretor": 1.01344,
            "escapedMass": 0,
            "massRatio": 0.38143353331228297,
            "separation": 1.042533631776042,
            "periodRatio": 1.0644741297165212,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1878862007226627,
            "orbitalEnergyChange": 0.0121137992773373,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0344,
            "removed": 0.013760000000000001,
            "donor": 0.38624,
            "accretor": 1.01376,
            "escapedMass": 0,
            "massRatio": 0.38099747474747475,
            "separation": 1.043602674321897,
            "periodRatio": 1.0661118607810474,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1875975752239333,
            "orbitalEnergyChange": 0.012402424776066706,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0352,
            "removed": 0.014080000000000002,
            "donor": 0.38592000000000004,
            "accretor": 1.01408,
            "escapedMass": 0,
            "massRatio": 0.38056169138529505,
            "separation": 1.044674455429374,
            "periodRatio": 1.0677546294824898,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18730895139919396,
            "orbitalEnergyChange": 0.012691048600806054,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.036000000000000004,
            "removed": 0.014400000000000003,
            "donor": 0.3856,
            "accretor": 1.0144,
            "escapedMass": 0,
            "massRatio": 0.3801261829652997,
            "separation": 1.04574898353292,
            "periodRatio": 1.0694024547889234,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.187020330002399,
            "orbitalEnergyChange": 0.012979669997601001,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0368,
            "removed": 0.01472,
            "donor": 0.38528,
            "accretor": 1.01472,
            "escapedMass": 0,
            "massRatio": 0.37969094922737306,
            "separation": 1.0468262671016229,
            "periodRatio": 1.0710553557587696,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18673171178749548,
            "orbitalEnergyChange": 0.013268288212504531,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0376,
            "removed": 0.015040000000000001,
            "donor": 0.38496,
            "accretor": 1.01504,
            "escapedMass": 0,
            "massRatio": 0.37925598991172765,
            "separation": 1.047906314639385,
            "periodRatio": 1.072713351541307,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18644309750842009,
            "orbitalEnergyChange": 0.013556902491579925,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0384,
            "removed": 0.015359999999999999,
            "donor": 0.38464000000000004,
            "accretor": 1.01536,
            "escapedMass": 0,
            "massRatio": 0.37882130475890324,
            "separation": 1.0489891346850901,
            "periodRatio": 1.0743764613771756,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1861544879190974,
            "orbitalEnergyChange": 0.013845512080902622,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0392,
            "removed": 0.01568,
            "donor": 0.38432,
            "accretor": 1.01568,
            "escapedMass": 0,
            "massRatio": 0.3783868935097669,
            "separation": 1.050074735812777,
            "periodRatio": 1.076044704598893,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1858658837734368,
            "orbitalEnergyChange": 0.014134116226563215,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.04,
            "removed": 0.016,
            "donor": 0.384,
            "accretor": 1.016,
            "escapedMass": 0,
            "massRatio": 0.3779527559055118,
            "separation": 1.051163126631809,
            "periodRatio": 1.077718100631366,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18557728582533115,
            "orbitalEnergyChange": 0.014422714174668866,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0408,
            "removed": 0.01632,
            "donor": 0.38368,
            "accretor": 1.01632,
            "escapedMass": 0,
            "massRatio": 0.3775188916876575,
            "separation": 1.052254315787049,
            "periodRatio": 1.0793966689924122,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1852886948286534,
            "orbitalEnergyChange": 0.014711305171346611,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0416,
            "removed": 0.01664,
            "donor": 0.38336000000000003,
            "accretor": 1.01664,
            "escapedMass": 0,
            "massRatio": 0.3770853005980485,
            "separation": 1.0533483119590321,
            "periodRatio": 1.0810804292932794,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18500011153725482,
            "orbitalEnergyChange": 0.014999888462745192,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0424,
            "removed": 0.01696,
            "donor": 0.38304000000000005,
            "accretor": 1.01696,
            "escapedMass": 0,
            "massRatio": 0.37665198237885467,
            "separation": 1.0544451238641435,
            "periodRatio": 1.0827694012391769,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1847115367049621,
            "orbitalEnergyChange": 0.015288463295037913,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0432,
            "removed": 0.01728,
            "donor": 0.38272,
            "accretor": 1.01728,
            "escapedMass": 0,
            "massRatio": 0.37621893677257,
            "separation": 1.0555447602547907,
            "periodRatio": 1.0844636046297969,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1844229710855755,
            "orbitalEnergyChange": 0.015577028914424501,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044000000000000004,
            "removed": 0.0176,
            "donor": 0.3824,
            "accretor": 1.0176,
            "escapedMass": 0,
            "massRatio": 0.37578616352201255,
            "separation": 1.0566472299195842,
            "periodRatio": 1.0861630593598528,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1841344154328662,
            "orbitalEnergyChange": 0.0158655845671338,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044800000000000006,
            "removed": 0.017920000000000002,
            "donor": 0.38208000000000003,
            "accretor": 1.01792,
            "escapedMass": 0,
            "massRatio": 0.37535366237032386,
            "separation": 1.0577525416835123,
            "periodRatio": 1.087867785419611,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.183845870500574,
            "orbitalEnergyChange": 0.016154129499426018,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0456,
            "removed": 0.018240000000000003,
            "donor": 0.38176000000000004,
            "accretor": 1.01824,
            "escapedMass": 0,
            "massRatio": 0.374921433060968,
            "separation": 1.0588607044081242,
            "periodRatio": 1.0895778028954346,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18355733704240465,
            "orbitalEnergyChange": 0.01644266295759536,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0464,
            "removed": 0.01856,
            "donor": 0.38144,
            "accretor": 1.01856,
            "escapedMass": 0,
            "massRatio": 0.37448947533773175,
            "separation": 1.0599717269917075,
            "periodRatio": 1.0912931319703243,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18326881581202756,
            "orbitalEnergyChange": 0.016731184187972453,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0472,
            "removed": 0.01888,
            "donor": 0.38112,
            "accretor": 1.01888,
            "escapedMass": 0,
            "massRatio": 0.37405778894472363,
            "separation": 1.0610856183694695,
            "periodRatio": 1.0930137929244619,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18298030756307393,
            "orbitalEnergyChange": 0.01701969243692608,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048,
            "removed": 0.019200000000000002,
            "donor": 0.3808,
            "accretor": 1.0192,
            "escapedMass": 0,
            "massRatio": 0.37362637362637363,
            "separation": 1.0622023875137212,
            "periodRatio": 1.0947398061357658,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1826918130491335,
            "orbitalEnergyChange": 0.0173081869508665,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048799999999999996,
            "removed": 0.01952,
            "donor": 0.38048000000000004,
            "accretor": 1.01952,
            "escapedMass": 0,
            "massRatio": 0.3731952291274326,
            "separation": 1.0633220434340598,
            "periodRatio": 1.0964711920804424,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1824033330237527,
            "orbitalEnergyChange": 0.017596666976247316,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0496,
            "removed": 0.01984,
            "donor": 0.38016,
            "accretor": 1.01984,
            "escapedMass": 0,
            "massRatio": 0.3727643551929714,
            "separation": 1.064444595177553,
            "periodRatio": 1.0982079713335415,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.182114868240432,
            "orbitalEnergyChange": 0.017885131759568018,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0504,
            "removed": 0.02016,
            "donor": 0.37984,
            "accretor": 1.02016,
            "escapedMass": 0,
            "massRatio": 0.37233375156838144,
            "separation": 1.0655700518289244,
            "periodRatio": 1.09995016456952,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1818264194526237,
            "orbitalEnergyChange": 0.018173580547376306,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0512,
            "removed": 0.02048,
            "donor": 0.37952,
            "accretor": 1.02048,
            "escapedMass": 0,
            "massRatio": 0.3719034179993728,
            "separation": 1.0666984225107417,
            "periodRatio": 1.1016977925628055,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1815379874137294,
            "orbitalEnergyChange": 0.018462012586270615,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.052000000000000005,
            "removed": 0.020800000000000003,
            "donor": 0.37920000000000004,
            "accretor": 1.0208,
            "escapedMass": 0,
            "massRatio": 0.371473354231975,
            "separation": 1.067829716383602,
            "periodRatio": 1.1034508761883643,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18124957287709748,
            "orbitalEnergyChange": 0.018750427122902535,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0528,
            "removed": 0.02112,
            "donor": 0.37888,
            "accretor": 1.02112,
            "escapedMass": 0,
            "massRatio": 0.37104356001253525,
            "separation": 1.0689639426463227,
            "periodRatio": 1.1052094364222746,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.18096117659602096,
            "orbitalEnergyChange": 0.019038823403979055,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0536,
            "removed": 0.02144,
            "donor": 0.37856,
            "accretor": 1.02144,
            "escapedMass": 0,
            "massRatio": 0.37061403508771934,
            "separation": 1.0701011105361313,
            "periodRatio": 1.1069734943423022,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1806727993237346,
            "orbitalEnergyChange": 0.01932720067626542,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.054400000000000004,
            "removed": 0.02176,
            "donor": 0.37824,
            "accretor": 1.02176,
            "escapedMass": 0,
            "massRatio": 0.3701847792045099,
            "separation": 1.0712412293288547,
            "periodRatio": 1.1087430711284783,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1803844418134132,
            "orbitalEnergyChange": 0.019615558186586807,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.055200000000000006,
            "removed": 0.022080000000000002,
            "donor": 0.37792000000000003,
            "accretor": 1.02208,
            "escapedMass": 0,
            "massRatio": 0.36975579211020665,
            "separation": 1.0723843083391136,
            "periodRatio": 1.1105181880636859,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1800961048181684,
            "orbitalEnergyChange": 0.01990389518183161,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.05600000000000001,
            "removed": 0.022400000000000003,
            "donor": 0.37760000000000005,
            "accretor": 1.0224,
            "escapedMass": 0,
            "massRatio": 0.3693270735524257,
            "separation": 1.0735303569205141,
            "periodRatio": 1.1122988665342453,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17980778909104683,
            "orbitalEnergyChange": 0.02019221090895318,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.056799999999999996,
            "removed": 0.02272,
            "donor": 0.37728,
            "accretor": 1.02272,
            "escapedMass": 0,
            "massRatio": 0.36889862327909884,
            "separation": 1.0746793844658444,
            "periodRatio": 1.114085128030507,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17951949538502718,
            "orbitalEnergyChange": 0.020480504614972833,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0576,
            "removed": 0.02304,
            "donor": 0.37696,
            "accretor": 1.02304,
            "escapedMass": 0,
            "massRatio": 0.3684704410384736,
            "separation": 1.0758314004072664,
            "periodRatio": 1.1158769941474431,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1792312244530185,
            "orbitalEnergyChange": 0.020768775546981505,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0584,
            "removed": 0.023360000000000002,
            "donor": 0.37664000000000003,
            "accretor": 1.02336,
            "escapedMass": 0,
            "massRatio": 0.36804252657911196,
            "separation": 1.076986414216517,
            "periodRatio": 1.1176744865852515,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.178942977047857,
            "orbitalEnergyChange": 0.021057022952143012,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0592,
            "removed": 0.023680000000000003,
            "donor": 0.37632000000000004,
            "accretor": 1.02368,
            "escapedMass": 0,
            "massRatio": 0.36761487964989065,
            "separation": 1.078144435405103,
            "periodRatio": 1.1194776271499554,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17865475392230395,
            "orbitalEnergyChange": 0.021345246077696056,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06,
            "removed": 0.024,
            "donor": 0.376,
            "accretor": 1.024,
            "escapedMass": 0,
            "massRatio": 0.3671875,
            "separation": 1.079305473524502,
            "periodRatio": 1.1212864377540122,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17836655582904323,
            "orbitalEnergyChange": 0.021633444170956778,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0608,
            "removed": 0.02432,
            "donor": 0.37568,
            "accretor": 1.02432,
            "escapedMass": 0,
            "massRatio": 0.3667603873789441,
            "separation": 1.0804695381663614,
            "periodRatio": 1.123100940416924,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17807838352067878,
            "orbitalEnergyChange": 0.021921616479321226,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0616,
            "removed": 0.024640000000000002,
            "donor": 0.37536,
            "accretor": 1.02464,
            "escapedMass": 0,
            "massRatio": 0.3663335415365397,
            "separation": 1.0816366389626983,
            "periodRatio": 1.12492115726585,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17779023774973277,
            "orbitalEnergyChange": 0.022209762250267245,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.062400000000000004,
            "removed": 0.024960000000000003,
            "donor": 0.37504000000000004,
            "accretor": 1.02496,
            "escapedMass": 0,
            "massRatio": 0.365906962222916,
            "separation": 1.0828067855861079,
            "periodRatio": 1.126747110536233,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17750211926864187,
            "orbitalEnergyChange": 0.02249788073135814,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0632,
            "removed": 0.025280000000000004,
            "donor": 0.37472,
            "accretor": 1.02528,
            "escapedMass": 0,
            "massRatio": 0.36548064918851436,
            "separation": 1.0839799877499612,
            "periodRatio": 1.128578822572416,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17721402882975582,
            "orbitalEnergyChange": 0.022785971170244196,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.064,
            "removed": 0.0256,
            "donor": 0.3744,
            "accretor": 1.0256,
            "escapedMass": 0,
            "massRatio": 0.36505460218408736,
            "separation": 1.0851562552086114,
            "periodRatio": 1.13041631582827,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1769259671853352,
            "orbitalEnergyChange": 0.023074032814664802,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06480000000000001,
            "removed": 0.025920000000000006,
            "donor": 0.37408,
            "accretor": 1.02592,
            "escapedMass": 0,
            "massRatio": 0.3646288209606987,
            "separation": 1.0863355977576032,
            "periodRatio": 1.1322596128678313,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17663793508754783,
            "orbitalEnergyChange": 0.023362064912452185,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0656,
            "removed": 0.026240000000000003,
            "donor": 0.37376000000000004,
            "accretor": 1.02624,
            "escapedMass": 0,
            "massRatio": 0.3642033052697225,
            "separation": 1.0875180252338772,
            "periodRatio": 1.1341087363659312,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17634993328846738,
            "orbitalEnergyChange": 0.023650066711532636,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0664,
            "removed": 0.02656,
            "donor": 0.37344,
            "accretor": 1.02656,
            "escapedMass": 0,
            "massRatio": 0.3637780548628429,
            "separation": 1.0887035475159803,
            "periodRatio": 1.1359637091088417,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17606196254007014,
            "orbitalEnergyChange": 0.023938037459929867,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0672,
            "removed": 0.02688,
            "donor": 0.37312,
            "accretor": 1.02688,
            "escapedMass": 0,
            "massRatio": 0.3633530694920536,
            "separation": 1.0898921745242731,
            "periodRatio": 1.137824553994913,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17577402359423347,
            "orbitalEnergyChange": 0.02422597640576654,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.068,
            "removed": 0.027200000000000002,
            "donor": 0.3728,
            "accretor": 1.0272000000000001,
            "escapedMass": 0,
            "massRatio": 0.3629283489096573,
            "separation": 1.0910839162211448,
            "periodRatio": 1.1396912940352295,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17548611720273238,
            "orbitalEnergyChange": 0.024513882797267628,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0688,
            "removed": 0.027520000000000003,
            "donor": 0.37248000000000003,
            "accretor": 1.02752,
            "escapedMass": 0,
            "massRatio": 0.3625038928682654,
            "separation": 1.0922787826112235,
            "periodRatio": 1.14156395235426,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17519824411723742,
            "orbitalEnergyChange": 0.024801755882762594,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0696,
            "removed": 0.02784,
            "donor": 0.37216000000000005,
            "accretor": 1.02784,
            "escapedMass": 0,
            "massRatio": 0.362079701120797,
            "separation": 1.0934767837415893,
            "periodRatio": 1.1434425521905127,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17491040508931258,
            "orbitalEnergyChange": 0.025089594910687435,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0704,
            "removed": 0.028160000000000004,
            "donor": 0.37184,
            "accretor": 1.02816,
            "escapedMass": 0,
            "massRatio": 0.36165577342047933,
            "separation": 1.094677929701991,
            "periodRatio": 1.1453271168972015,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17462260087041226,
            "orbitalEnergyChange": 0.025377399129587752,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0712,
            "removed": 0.028480000000000002,
            "donor": 0.37152,
            "accretor": 1.02848,
            "escapedMass": 0,
            "massRatio": 0.3612321095208463,
            "separation": 1.095882230625061,
            "periodRatio": 1.1472176699429082,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.1743348322118793,
            "orbitalEnergyChange": 0.025665167788120724,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07200000000000001,
            "removed": 0.028800000000000006,
            "donor": 0.37120000000000003,
            "accretor": 1.0288,
            "escapedMass": 0,
            "massRatio": 0.36080870917573876,
            "separation": 1.0970896966865342,
            "periodRatio": 1.1491142349122578,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17404709986494185,
            "orbitalEnergyChange": 0.02595290013505816,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0728,
            "removed": 0.029120000000000004,
            "donor": 0.37088000000000004,
            "accretor": 1.02912,
            "escapedMass": 0,
            "massRatio": 0.3603855721393035,
            "separation": 1.0983003381054652,
            "periodRatio": 1.1510168355065895,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17375940458071176,
            "orbitalEnergyChange": 0.02624059541928825,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0736,
            "removed": 0.02944,
            "donor": 0.37056,
            "accretor": 1.02944,
            "escapedMass": 0,
            "massRatio": 0.3599626981659932,
            "separation": 1.099514165144451,
            "periodRatio": 1.1529254955446409,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17347174711018096,
            "orbitalEnergyChange": 0.026528252889819054,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07440000000000001,
            "removed": 0.029760000000000005,
            "donor": 0.37024,
            "accretor": 1.02976,
            "escapedMass": 0,
            "massRatio": 0.35954008701056556,
            "separation": 1.1007311881098483,
            "periodRatio": 1.1548402389632257,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17318412820422058,
            "orbitalEnergyChange": 0.026815871795779433,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0752,
            "removed": 0.030080000000000003,
            "donor": 0.36992,
            "accretor": 1.03008,
            "escapedMass": 0,
            "massRatio": 0.35911773842808326,
            "separation": 1.1019514173520015,
            "periodRatio": 1.1567610898179321,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17289654861357664,
            "orbitalEnergyChange": 0.027103451386423366,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07600000000000001,
            "removed": 0.030400000000000007,
            "donor": 0.36960000000000004,
            "accretor": 1.0304,
            "escapedMass": 0,
            "massRatio": 0.3586956521739131,
            "separation": 1.1031748632654632,
            "periodRatio": 1.1586880722838095,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17260900908886886,
            "orbitalEnergyChange": 0.027390990911131147,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0768,
            "removed": 0.030719999999999997,
            "donor": 0.36928000000000005,
            "accretor": 1.03072,
            "escapedMass": 0,
            "massRatio": 0.3582738280037256,
            "separation": 1.104401536289221,
            "periodRatio": 1.1606212106560687,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17232151038058774,
            "orbitalEnergyChange": 0.027678489619412272,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0776,
            "removed": 0.03104,
            "donor": 0.36896,
            "accretor": 1.03104,
            "escapedMass": 0,
            "massRatio": 0.35785226567349476,
            "separation": 1.105631446906924,
            "periodRatio": 1.1625605293507861,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17203405323909193,
            "orbitalEnergyChange": 0.027965946760908078,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0784,
            "removed": 0.03136,
            "donor": 0.36864,
            "accretor": 1.03136,
            "escapedMass": 0,
            "massRatio": 0.3574309649394974,
            "separation": 1.1068646056471108,
            "periodRatio": 1.1645060529056095,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17174663841460622,
            "orbitalEnergyChange": 0.028253361585393794,
            "massBalanceResidual": 2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07919999999999999,
            "removed": 0.03168,
            "donor": 0.36832000000000004,
            "accretor": 1.03168,
            "escapedMass": 0,
            "massRatio": 0.35700992555831274,
            "separation": 1.1081010230834407,
            "periodRatio": 1.166457805980475,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17145926665721825,
            "orbitalEnergyChange": 0.02854073334278176,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.08,
            "removed": 0.032,
            "donor": 0.368,
            "accretor": 1.032,
            "escapedMass": 0,
            "massRatio": 0.3565891472868217,
            "separation": 1.1093407098349228,
            "periodRatio": 1.1684158133583196,
            "initialAngular": 0.33806170189140666,
            "orbitalAngular": 0.33806170189140666,
            "escapedAngular": 0,
            "orbitalEnergy": -0.17117193871687678,
            "orbitalEnergyChange": 0.028828061283123235,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          }
        ],
        "continuationNote": "Mass sequence is prescribed stripping. A detached snapshot is not sustained self-driven Roche overflow."
      }
    },
    {
      "name": "runaway",
      "actual": {
        "schema": "binary-mass-transfer-v1",
        "parameters": {
          "initialMassRatio": 1.5,
          "initialFilling": 1.01,
          "removedFraction": 0.02,
          "retainedFraction": 1,
          "lossAngularMomentumFactor": 2,
          "lossChannel": "constant-specific-j",
          "adiabaticResponse": -0.3333333333333333,
          "equilibriumResponse": 0,
          "launchTransverse": 0,
          "launchSpeed": 0.01,
          "commonEnvelopeEfficiency": 1,
          "scenario": "transfer"
        },
        "scenario": "transfer",
        "snapshot": {
          "fraction": 0.02,
          "removed": 0.03,
          "donor": 1.47,
          "accretor": 1.03,
          "escapedMass": 0,
          "massRatio": 1.4271844660194175,
          "separation": 0.9814617962658833,
          "periodRatio": 0.972321969750231,
          "initialAngular": 0.9486832980505138,
          "orbitalAngular": 0.9486832980505138,
          "escapedAngular": 0,
          "orbitalEnergy": -0.7713494329380001,
          "orbitalEnergyChange": -0.021349432938000068,
          "massBalanceResidual": 0,
          "angularBalanceResidual": 0,
          "effectiveLossFactor": 2
        },
        "initialRoche": {
          "massRatio": 1.5,
          "l1": 0.14161752558401758,
          "criticalPotential": 1.9904542822856293,
          "volumeRadius": 0.4160337854058123,
          "logarithmicResponse": 0.21626371701256786,
          "fittedRadius": 0.4144524461597814,
          "fittedLogarithmicResponse": 0.21349875623752634,
          "numericalResponseHull": [
            0.2162636314392205,
            0.2162638025859152
          ],
          "relativeRadiusRefinement": 9.778284464356801e-07,
          "responseRefinement": 8.557334735259658e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "currentRoche": {
          "massRatio": 1.4271844660194175,
          "l1": 0.1245344078763359,
          "criticalPotential": 1.9926315481586885,
          "volumeRadius": 0.4115598988549057,
          "logarithmicResponse": 0.2182821822177056,
          "fittedRadius": 0.4100533332102254,
          "fittedLogarithmicResponse": 0.21538516980748768,
          "numericalResponseHull": [
            0.21828209706726698,
            0.2182822673681442
          ],
          "relativeRadiusRefinement": 9.82076389544062e-07,
          "responseRefinement": 8.515043861678784e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionRoche": {
          "massRatio": 0.7006802721088435,
          "l1": -0.12453440787633599,
          "criticalPotential": 1.9926315481586883,
          "volumeRadius": 0.3489450100270838,
          "logarithmicResponse": 0.2449806319199541,
          "fittedRadius": 0.3485759033882088,
          "fittedLogarithmicResponse": 0.2407220907134786,
          "numericalResponseHull": [
            0.24498055767190133,
            0.24498070616800685
          ],
          "relativeRadiusRefinement": 1.0392735754205518e-06,
          "responseRefinement": 7.424805276157187e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionFilling": 0.23359287697988124,
        "companionGeometrySupported": true,
        "filling": 1.0472929127467048,
        "donorRadius": 0.4230333588672005,
        "surface": {
          "vertices": [
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.12453440787633585,
            0,
            0,
            0.09068427632321419,
            0.05283424644303142,
            0,
            0.0906587957636592,
            0.05254215146914457,
            0.005522402649377779,
            0.09058360186695635,
            0.05166934131014283,
            0.010982657532638794,
            0.09046235730768859,
            0.05022617132334223,
            0.016319472329322265,
            0.09030090694332615,
            0.048229675677830534,
            0.02147323509489757,
            0.09010691899162426,
            0.04570324684899957,
            0.026386781871109814,
            0.08988943734135713,
            0.042676217214512355,
            0.031006086740737702,
            0.08965838661939296,
            0.03918336699915724,
            0.035280862115247696,
            0.08942406938176806,
            0.035264382944616104,
            0.03916506502601979,
            0.08919668771645395,
            0.030963289556016807,
            0.04261731194321545,
            0.08898591208991091,
            0.026327870584543757,
            0.045601209507527884,
            0.0888005107108576,
            0.021409093540323536,
            0.04808561138752185,
            0.08864804461860565,
            0.016260545276786678,
            0.05004481250385918,
            0.08853462792321043,
            0.010937882535934028,
            0.0514586915124938,
            0.08846474925798908,
            0.005498298011524258,
            0.052312811159569116,
            0.0884411492572652,
            1.489993793459514e-17,
            0.05259848428816111,
            0.08846474925798908,
            -0.005498298011524251,
            0.05231281115956912,
            0.08853462792321043,
            -0.010937882535934033,
            0.0514586915124938,
            0.08864804461860565,
            -0.01626054527678667,
            0.050044812503859185,
            0.0888005107108576,
            -0.021409093540323523,
            0.048085611387521855,
            0.08898591208991091,
            -0.02632787058454374,
            0.04560120950752789,
            0.08919668771645395,
            -0.0309632895560168,
            0.04261731194321545,
            0.08942406938176806,
            -0.03526438294461609,
            0.0391650650260198,
            0.08965838661939296,
            -0.03918336699915723,
            0.03528086211524771,
            0.08988943734135713,
            -0.04267621721451235,
            0.03100608674073771,
            0.09010691899162426,
            -0.04570324684899957,
            0.026386781871109814,
            0.09030090694332615,
            -0.04822967567783054,
            0.021473235094897562,
            0.09046235730768859,
            -0.05022617132334223,
            0.016319472329322272,
            0.09058360186695635,
            -0.05166934131014283,
            0.010982657532638794,
            0.0906587957636592,
            -0.05254215146914458,
            0.00552240264937777,
            0.09068427632321419,
            -0.05283424644303142,
            2.993344783509139e-17,
            0.0906587957636592,
            -0.05254215146914458,
            -0.005522402649377758,
            0.09058360186695635,
            -0.05166934131014283,
            -0.010982657532638782,
            0.09046235730768859,
            -0.050226171323342235,
            -0.016319472329322262,
            0.09030090694332615,
            -0.048229675677830534,
            -0.02147323509489757,
            0.09010691899162426,
            -0.045703246848999575,
            -0.026386781871109804,
            0.08988943734135713,
            -0.042676217214512355,
            -0.031006086740737696,
            0.08965838661939296,
            -0.03918336699915724,
            -0.035280862115247696,
            0.08942406938176806,
            -0.03526438294461612,
            -0.03916506502601978,
            0.08919668771645395,
            -0.030963289556016814,
            -0.04261731194321544,
            0.08898591208991091,
            -0.026327870584543774,
            -0.045601209507527884,
            0.0888005107108576,
            -0.021409093540323568,
            -0.04808561138752183,
            0.08864804461860565,
            -0.016260545276786685,
            -0.05004481250385918,
            0.08853462792321043,
            -0.010937882535934057,
            -0.0514586915124938,
            0.08846474925798908,
            -0.005498298011524298,
            -0.052312811159569116,
            0.0884411492572652,
            -9.662184813524826e-18,
            -0.05259848428816111,
            0.08846474925798908,
            0.0054982980115242325,
            -0.05231281115956912,
            0.08853462792321043,
            0.010937882535934038,
            -0.0514586915124938,
            0.08864804461860565,
            0.016260545276786668,
            -0.050044812503859185,
            0.0888005107108576,
            0.021409093540323505,
            -0.048085611387521855,
            0.08898591208991091,
            0.026327870584543757,
            -0.045601209507527884,
            0.08919668771645395,
            0.030963289556016797,
            -0.04261731194321545,
            0.08942406938176806,
            0.03526438294461612,
            -0.03916506502601978,
            0.08965838661939296,
            0.03918336699915724,
            -0.035280862115247696,
            0.08988943734135713,
            0.04267621721451235,
            -0.031006086740737716,
            0.09010691899162426,
            0.045703246848999575,
            -0.0263867818711098,
            0.09030090694332615,
            0.04822967567783054,
            -0.02147323509489757,
            0.09046235730768859,
            0.05022617132334223,
            -0.01631947232932228,
            0.09058360186695635,
            0.05166934131014283,
            -0.010982657532638777,
            0.0906587957636592,
            0.05254215146914457,
            -0.005522402649377776,
            0.09068427632321419,
            0.05283424644303142,
            -5.986689567018278e-17,
            0.059420851380827866,
            0.10020359526906326,
            0,
            0.0593737950996342,
            0.09964472216103584,
            0.010473082320996476,
            0.059234973151767956,
            0.0979752600404455,
            0.020825284402923406,
            0.059011266721316624,
            0.09521648334504293,
            0.030937710844836933,
            0.058713632483880895,
            0.0914032114745295,
            0.04069533167778287,
            0.05835639924220165,
            0.0865829153615393,
            0.04998866949120728,
            0.057956398009042065,
            0.08081458132883909,
            0.058715230218349596,
            0.05753201160412058,
            0.07416742160379441,
            0.06678064636719949,
            0.05710222354061656,
            0.06671951842709664,
            0.07409953214851048,
            0.05668572953902273,
            0.05855647593377244,
            0.08059607480174975,
            0.056300153942877684,
            0.049770135275820075,
            0.0862044029972964,
            0.055961392618494143,
            0.040457388039763086,
            0.09086878131342045,
            0.0556830869883877,
            0.03071910405240553,
            0.0945436808188621,
            0.055476222236937434,
            0.02065917394580356,
            0.09719377178238028,
            0.05534883653364625,
            0.010383654943322072,
            0.09879387749765617,
            0.05530582655781119,
            2.8137592922840004e-17,
            0.09932891974149605,
            0.05534883653364625,
            -0.010383654943322062,
            0.09879387749765618,
            0.055476222236937434,
            -0.02065917394580357,
            0.09719377178238028,
            0.0556830869883877,
            -0.030719104052405518,
            0.09454368081886211,
            0.055961392618494143,
            -0.04045738803976306,
            0.09086878131342047,
            0.056300153942877684,
            -0.04977013527582004,
            0.08620440299729641,
            0.05668572953902273,
            -0.058556475933772424,
            0.08059607480174975,
            0.05710222354061656,
            -0.0667195184270966,
            0.07409953214851049,
            0.05753201160412058,
            -0.0741674216037944,
            0.0667806463671995,
            0.057956398009042065,
            -0.08081458132883909,
            0.0587152302183496,
            0.05835639924220165,
            -0.0865829153615393,
            0.04998866949120728,
            0.058713632483880895,
            -0.09140321147452951,
            0.04069533167778286,
            0.059011266721316624,
            -0.09521648334504293,
            0.030937710844836944,
            0.059234973151767956,
            -0.0979752600404455,
            0.020825284402923406,
            0.0593737950996342,
            -0.09964472216103586,
            0.010473082320996458,
            0.059420851380827866,
            -0.10020359526906326,
            5.67707366681053e-17,
            0.0593737950996342,
            -0.09964472216103586,
            -0.010473082320996436,
            0.059234973151767956,
            -0.0979752600404455,
            -0.020825284402923378,
            0.059011266721316624,
            -0.09521648334504294,
            -0.03093771084483692,
            0.058713632483880895,
            -0.0914032114745295,
            -0.04069533167778287,
            0.05835639924220165,
            -0.08658291536153931,
            -0.04998866949120726,
            0.057956398009042065,
            -0.08081458132883909,
            -0.05871523021834958,
            0.05753201160412058,
            -0.07416742160379441,
            -0.06678064636719949,
            0.05710222354061656,
            -0.06671951842709666,
            -0.07409953214851045,
            0.05668572953902273,
            -0.05855647593377245,
            -0.08059607480174975,
            0.056300153942877684,
            -0.04977013527582011,
            -0.08620440299729638,
            0.055961392618494143,
            -0.04045738803976314,
            -0.09086878131342044,
            0.0556830869883877,
            -0.030719104052405535,
            -0.0945436808188621,
            0.055476222236937434,
            -0.020659173945803615,
            -0.09719377178238027,
            0.05534883653364625,
            -0.01038365494332215,
            -0.09879387749765617,
            0.05530582655781119,
            -1.824642654362812e-17,
            -0.09932891974149605,
            0.05534883653364625,
            0.010383654943322027,
            -0.09879387749765618,
            0.055476222236937434,
            0.020659173945803577,
            -0.09719377178238027,
            0.0556830869883877,
            0.030719104052405504,
            -0.09454368081886211,
            0.055961392618494143,
            0.04045738803976303,
            -0.09086878131342048,
            0.056300153942877684,
            0.049770135275820075,
            -0.0862044029972964,
            0.05668572953902273,
            0.05855647593377242,
            -0.08059607480174977,
            0.05710222354061656,
            0.06671951842709666,
            -0.07409953214851045,
            0.05753201160412058,
            0.07416742160379441,
            -0.06678064636719948,
            0.057956398009042065,
            0.08081458132883909,
            -0.05871523021834961,
            0.05835639924220165,
            0.08658291536153931,
            -0.049988669491207255,
            0.058713632483880895,
            0.09140321147452951,
            -0.04069533167778287,
            0.059011266721316624,
            0.09521648334504293,
            -0.03093771084483695,
            0.059234973151767956,
            0.0979752600404455,
            -0.02082528440292337,
            0.0593737950996342,
            0.09964472216103584,
            -0.010473082320996472,
            0.059420851380827866,
            0.10020359526906326,
            -1.135414733362106e-16,
            0.02904611035374932,
            0.1433045682008451,
            0,
            0.028980175817194087,
            0.14249822471223653,
            0.01497716693509614,
            0.02878573464408707,
            0.14009026710248487,
            0.029777105498739197,
            0.02847263178996534,
            0.136113528780158,
            0.04422596642443789,
            0.028056500076436286,
            0.13062149239681148,
            0.05815643533287132,
            0.027557702773939763,
            0.12368657544977633,
            0.0714104776310713,
            0.02700003974564813,
            0.11539798955791172,
            0.08384154706014142,
            0.02640935418568391,
            0.10585937087703406,
            0.09531620566450645,
            0.025812163700394852,
            0.09518636826351753,
            0.10571517183460287,
            0.02523440996338905,
            0.08350434177750447,
            0.11493386630340285,
            0.024700385171403882,
            0.07094627824734288,
            0.12288255853231649,
            0.02423185949078377,
            0.05765098327648236,
            0.1294862284907163,
            0.0238474069963176,
            0.04376156745463566,
            0.1346842557161165,
            0.023561910388236684,
            0.029424212122779705,
            0.13843003430051043,
            0.023386216699832096,
            0.014787177307164282,
            0.1406905941495707,
            0.02332691560360084,
            4.006847266384291e-17,
            0.14144628917993005,
            0.023386216699832096,
            -0.014787177307164267,
            0.14069059414957072,
            0.023561910388236684,
            -0.029424212122779726,
            0.13843003430051043,
            0.0238474069963176,
            -0.043761567454635636,
            0.13468425571611653,
            0.02423185949078377,
            -0.05765098327648232,
            0.1294862284907163,
            0.024700385171403882,
            -0.07094627824734284,
            0.12288255853231649,
            0.02523440996338905,
            -0.08350434177750446,
            0.11493386630340285,
            0.025812163700394852,
            -0.09518636826351748,
            0.10571517183460291,
            0.02640935418568391,
            -0.10585937087703405,
            0.09531620566450648,
            0.02700003974564813,
            -0.11539798955791171,
            0.08384154706014145,
            0.027557702773939763,
            -0.12368657544977633,
            0.0714104776310713,
            0.028056500076436286,
            -0.13062149239681148,
            0.05815643533287131,
            0.02847263178996534,
            -0.136113528780158,
            0.04422596642443791,
            0.02878573464408707,
            -0.14009026710248487,
            0.029777105498739197,
            0.028980175817194087,
            -0.14249822471223655,
            0.014977166935096117,
            0.02904611035374932,
            -0.1433045682008451,
            8.118976053525358e-17,
            0.028980175817194087,
            -0.14249822471223655,
            -0.01497716693509608,
            0.02878573464408707,
            -0.14009026710248487,
            -0.029777105498739156,
            0.02847263178996534,
            -0.13611352878015803,
            -0.04422596642443787,
            0.028056500076436286,
            -0.13062149239681148,
            -0.058156435332871334,
            0.027557702773939763,
            -0.12368657544977636,
            -0.07141047763107128,
            0.02700003974564813,
            -0.11539798955791172,
            -0.08384154706014141,
            0.02640935418568391,
            -0.10585937087703406,
            -0.09531620566450645,
            0.025812163700394852,
            -0.09518636826351758,
            -0.10571517183460286,
            0.02523440996338905,
            -0.0835043417775045,
            -0.11493386630340284,
            0.024700385171403882,
            -0.07094627824734294,
            -0.12288255853231646,
            0.02423185949078377,
            -0.057650983276482444,
            -0.12948622849071625,
            0.0238474069963176,
            -0.04376156745463567,
            -0.1346842557161165,
            0.023561910388236684,
            -0.02942421212277978,
            -0.13843003430051043,
            0.023386216699832096,
            -0.014787177307164393,
            -0.1406905941495707,
            0.02332691560360084,
            -2.5983261794320832e-17,
            -0.14144628917993005,
            0.023386216699832096,
            0.014787177307164216,
            -0.14069059414957072,
            0.023561910388236684,
            0.029424212122779732,
            -0.13843003430051043,
            0.0238474069963176,
            0.04376156745463563,
            -0.13468425571611653,
            0.02423185949078377,
            0.057650983276482284,
            -0.12948622849071634,
            0.024700385171403882,
            0.07094627824734288,
            -0.12288255853231649,
            0.02523440996338905,
            0.08350434177750445,
            -0.11493386630340287,
            0.025812163700394852,
            0.09518636826351758,
            -0.10571517183460286,
            0.02640935418568391,
            0.10585937087703406,
            -0.09531620566450644,
            0.02700003974564813,
            0.11539798955791171,
            -0.08384154706014146,
            0.027557702773939763,
            0.12368657544977636,
            -0.07141047763107126,
            0.028056500076436286,
            0.13062149239681148,
            -0.05815643533287132,
            0.02847263178996534,
            0.136113528780158,
            -0.04422596642443793,
            0.02878573464408707,
            0.14009026710248487,
            -0.029777105498739152,
            0.028980175817194087,
            0.14249822471223653,
            -0.014977166935096133,
            0.02904611035374932,
            0.1433045682008451,
            -1.6237952107050715e-16,
            -0.0014172083154915804,
            0.18280323655200223,
            0,
            -0.0014995356719149644,
            0.18176536759167664,
            0.019104309958507745,
            -0.001742210879347006,
            0.17866700882780637,
            0.03797684508030601,
            -0.002132644532393313,
            0.17355326669765067,
            0.056390874695629235,
            -0.0026509100686740172,
            0.16649727468480138,
            0.07412936271536834,
            -0.003271171130509898,
            0.1575973969672574,
            0.09098889956263036,
            -0.003963406657216673,
            0.14697379053476217,
            0.10678270932565649,
            -0.004695237870316171,
            0.134764679672998,
            0.12134266260607027,
            -0.0054336857531709915,
            0.12112266706309431,
            0.13452034986976222,
            -0.006146734983664748,
            0.10621133480226977,
            0.14618736097095486,
            -0.006804635007385373,
            0.09020229982438716,
            0.15623496625539973,
            -0.007380918332856257,
            0.07327280163611671,
            0.16457340700170708,
            -0.007853152824384091,
            0.055603828686754175,
            0.17113098815313638,
            -0.008203466602124732,
            0.037378737953238116,
            0.1758531360291092,
            -0.008418892557199575,
            0.018782289522145067,
            0.17870154779841435,
            -0.008491577562690422,
            5.089170153864637e-17,
            0.17965352443268479,
            -0.008418892557199575,
            -0.018782289522145043,
            0.17870154779841435,
            -0.008203466602124732,
            -0.037378737953238136,
            0.1758531360291092,
            -0.007853152824384091,
            -0.05560382868675415,
            0.1711309881531364,
            -0.007380918332856257,
            -0.07327280163611667,
            0.1645734070017071,
            -0.006804635007385373,
            -0.0902022998243871,
            0.15623496625539976,
            -0.006146734983664748,
            -0.10621133480226974,
            0.14618736097095486,
            -0.0054336857531709915,
            -0.12112266706309426,
            0.13452034986976225,
            -0.004695237870316171,
            -0.13476467967299796,
            0.12134266260607032,
            -0.003963406657216673,
            -0.14697379053476217,
            0.10678270932565652,
            -0.003271171130509898,
            -0.1575973969672574,
            0.09098889956263036,
            -0.0026509100686740172,
            -0.1664972746848014,
            0.07412936271536831,
            -0.002132644532393313,
            -0.17355326669765067,
            0.05639087469562926,
            -0.001742210879347006,
            -0.17866700882780637,
            0.03797684508030601,
            -0.0014995356719149644,
            -0.18176536759167666,
            0.019104309958507714,
            -0.0014172083154915804,
            -0.18280323655200223,
            1.0356788473013137e-16,
            -0.0014995356719149644,
            -0.18176536759167666,
            -0.019104309958507672,
            -0.001742210879347006,
            -0.17866700882780637,
            -0.03797684508030596,
            -0.002132644532393313,
            -0.1735532666976507,
            -0.05639087469562921,
            -0.0026509100686740172,
            -0.16649727468480138,
            -0.07412936271536834,
            -0.003271171130509898,
            -0.15759739696725744,
            -0.09098889956263033,
            -0.003963406657216673,
            -0.14697379053476217,
            -0.10678270932565648,
            -0.004695237870316171,
            -0.134764679672998,
            -0.12134266260607027,
            -0.0054336857531709915,
            -0.12112266706309435,
            -0.1345203498697622,
            -0.006146734983664748,
            -0.1062113348022698,
            -0.14618736097095486,
            -0.006804635007385373,
            -0.09020229982438722,
            -0.1562349662553997,
            -0.007380918332856257,
            -0.07327280163611682,
            -0.16457340700170703,
            -0.007853152824384091,
            -0.05560382868675419,
            -0.17113098815313638,
            -0.008203466602124732,
            -0.03737873795323822,
            -0.17585313602910918,
            -0.008418892557199575,
            -0.018782289522145206,
            -0.17870154779841435,
            -0.008491577562690422,
            -3.300181704780423e-17,
            -0.17965352443268479,
            -0.008418892557199575,
            0.018782289522144984,
            -0.17870154779841435,
            -0.008203466602124732,
            0.03737873795323816,
            -0.17585313602910918,
            -0.007853152824384091,
            0.05560382868675414,
            -0.1711309881531364,
            -0.007380918332856257,
            0.0732728016361166,
            -0.1645734070017071,
            -0.006804635007385373,
            0.09020229982438716,
            -0.15623496625539973,
            -0.006146734983664748,
            0.10621133480226973,
            -0.14618736097095486,
            -0.0054336857531709915,
            0.12112266706309435,
            -0.1345203498697622,
            -0.004695237870316171,
            0.134764679672998,
            -0.12134266260607027,
            -0.003963406657216673,
            0.14697379053476217,
            -0.10678270932565653,
            -0.003271171130509898,
            0.15759739696725744,
            -0.09098889956263032,
            -0.0026509100686740172,
            0.1664972746848014,
            -0.07412936271536834,
            -0.002132644532393313,
            0.17355326669765067,
            -0.05639087469562927,
            -0.001742210879347006,
            0.17866700882780637,
            -0.037976845080305945,
            -0.0014995356719149644,
            0.18176536759167664,
            -0.01910430995850774,
            -0.0014172083154915804,
            0.18280323655200223,
            -2.0713576946026275e-16,
            -0.032565925562886955,
            0.2190663650159837,
            0,
            -0.03266191669867352,
            0.21781117963838995,
            0.022892877468207853,
            -0.03294472618100025,
            0.2140653178367033,
            0.0455009879321701,
            -0.03339928720877633,
            0.20788690112357713,
            0.06754654876387291,
            -0.034001837793786016,
            0.19936973128717284,
            0.08876512335130408,
            -0.03472172780633159,
            0.1886391360968342,
            0.10891085600520566,
            -0.03552357351762142,
            0.1758469357104485,
            0.1277602772130654,
            -0.03636949805748796,
            0.16116609431444373,
            0.14511460312441224,
            -0.03722123690938012,
            0.1447855570410436,
            0.160800651616299,
            -0.038041957881659094,
            0.1269056433984471,
            0.17467063317938455,
            -0.03879772182215763,
            0.10773421788407944,
            0.18660113908892115,
            -0.039458576126082556,
            0.08748372016051865,
            0.19649165259847046,
            -0.03999931889372421,
            0.06636903021467706,
            0.20426287166999854,
            -0.04039999612152889,
            0.0446060732033038,
            0.20985507505786322,
            -0.04064620095284199,
            0.022411029614938592,
            0.21322670355090143,
            -0.04072923790282468,
            6.072134070863014e-17,
            0.21435327443904165,
            -0.04064620095284199,
            -0.022411029614938564,
            0.21322670355090145,
            -0.04039999612152889,
            -0.04460607320330382,
            0.20985507505786322,
            -0.03999931889372421,
            -0.06636903021467704,
            0.20426287166999857,
            -0.039458576126082556,
            -0.08748372016051859,
            0.19649165259847048,
            -0.03879772182215763,
            -0.10773421788407939,
            0.18660113908892118,
            -0.038041957881659094,
            -0.1269056433984471,
            0.17467063317938455,
            -0.03722123690938012,
            -0.14478555704104354,
            0.16080065161629903,
            -0.03636949805748796,
            -0.1611660943144437,
            0.14511460312441227,
            -0.03552357351762142,
            -0.1758469357104485,
            0.12776027721306543,
            -0.03472172780633159,
            -0.1886391360968342,
            0.10891085600520566,
            -0.034001837793786016,
            -0.19936973128717286,
            0.08876512335130406,
            -0.03339928720877633,
            -0.20788690112357713,
            0.06754654876387294,
            -0.03294472618100025,
            -0.2140653178367033,
            0.0455009879321701,
            -0.03266191669867352,
            -0.21781117963838997,
            0.022892877468207815,
            -0.032565925562886955,
            -0.2190663650159837,
            1.241129012164406e-16,
            -0.03266191669867352,
            -0.21781117963838997,
            -0.022892877468207763,
            -0.03294472618100025,
            -0.2140653178367033,
            -0.04550098793217005,
            -0.03339928720877633,
            -0.20788690112357716,
            -0.06754654876387288,
            -0.034001837793786016,
            -0.19936973128717284,
            -0.0887651233513041,
            -0.03472172780633159,
            -0.18863913609683422,
            -0.10891085600520561,
            -0.03552357351762142,
            -0.1758469357104485,
            -0.12776027721306538,
            -0.03636949805748796,
            -0.16116609431444373,
            -0.14511460312441224,
            -0.03722123690938012,
            -0.14478555704104365,
            -0.16080065161629895,
            -0.038041957881659094,
            -0.12690564339844712,
            -0.17467063317938453,
            -0.03879772182215763,
            -0.10773421788407951,
            -0.18660113908892112,
            -0.039458576126082556,
            -0.08748372016051877,
            -0.19649165259847037,
            -0.03999931889372421,
            -0.06636903021467709,
            -0.20426287166999854,
            -0.04039999612152889,
            -0.04460607320330392,
            -0.2098550750578632,
            -0.04064620095284199,
            -0.02241102961493876,
            -0.21322670355090143,
            -0.04072923790282468,
            -3.937605771427898e-17,
            -0.21435327443904165,
            -0.04064620095284199,
            0.02241102961493849,
            -0.21322670355090145,
            -0.04039999612152889,
            0.04460607320330384,
            -0.2098550750578632,
            -0.03999931889372421,
            0.06636903021467701,
            -0.20426287166999857,
            -0.039458576126082556,
            0.08748372016051852,
            -0.1964916525984705,
            -0.03879772182215763,
            0.10773421788407944,
            -0.18660113908892115,
            -0.038041957881659094,
            0.12690564339844707,
            -0.17467063317938455,
            -0.03722123690938012,
            0.14478555704104365,
            -0.16080065161629895,
            -0.03636949805748796,
            0.16116609431444373,
            -0.1451146031244122,
            -0.03552357351762142,
            0.1758469357104485,
            -0.12776027721306546,
            -0.03472172780633159,
            0.18863913609683422,
            -0.1089108560052056,
            -0.034001837793786016,
            0.19936973128717286,
            -0.08876512335130408,
            -0.03339928720877633,
            0.20788690112357713,
            -0.06754654876387296,
            -0.03294472618100025,
            0.2140653178367033,
            -0.04550098793217003,
            -0.03266191669867352,
            0.21781117963838995,
            -0.022892877468207843,
            -0.032565925562886955,
            0.2190663650159837,
            -2.482258024328812e-16,
            -0.06477027028999743,
            0.25227716562212343,
            0,
            -0.06487673155672291,
            0.25081823999871994,
            0.02636205930574836,
            -0.06519021654319368,
            0.2464658628203701,
            0.0523879363701332,
            -0.06569354873926064,
            0.2392918725594915,
            0.0777506425430333,
            -0.06635974443026016,
            0.22941167764400075,
            0.10214065963186414,
            -0.06715419202580875,
            0.2169784604493973,
            0.12527257254881008,
            -0.06803721331827695,
            0.20217625334893874,
            0.14688964621079023,
            -0.06896667562050701,
            0.18521272053011373,
            0.16676628262072,
            -0.06990038610112292,
            0.16631235755038465,
            0.1847085856662046,
            -0.07079809739310428,
            0.1457106079523415,
            0.20055344640646608,
            -0.07162305446493428,
            0.12364916324189489,
            0.2141666330483399,
            -0.07234309431914193,
            0.10037251111730174,
            0.22544035105856933,
            -0.0729313627475543,
            0.07612565205353157,
            0.23429066608188562,
            -0.0733667368705948,
            0.05115281831097284,
            0.24065508921048376,
            -0.07363404479549096,
            0.02569699063433735,
            0.24449053427183,
            -0.07372416204138299,
            6.962147967741882e-17,
            0.24577178247358544,
            -0.07363404479549096,
            -0.02569699063433732,
            0.24449053427183,
            -0.0733667368705948,
            -0.05115281831097286,
            0.24065508921048376,
            -0.0729313627475543,
            -0.07612565205353154,
            0.23429066608188562,
            -0.07234309431914193,
            -0.10037251111730167,
            0.22544035105856933,
            -0.07162305446493428,
            -0.12364916324189482,
            0.21416663304833997,
            -0.07079809739310428,
            -0.14571060795234148,
            0.20055344640646608,
            -0.06990038610112292,
            -0.1663123575503846,
            0.18470858566620466,
            -0.06896667562050701,
            -0.1852127205301137,
            0.16676628262072005,
            -0.06803721331827695,
            -0.2021762533489387,
            0.1468896462107903,
            -0.06715419202580875,
            -0.2169784604493973,
            0.12527257254881008,
            -0.06635974443026016,
            -0.22941167764400075,
            0.10214065963186411,
            -0.06569354873926064,
            -0.2392918725594915,
            0.07775064254303334,
            -0.06519021654319368,
            -0.2464658628203701,
            0.0523879363701332,
            -0.06487673155672291,
            -0.25081823999871994,
            0.02636205930574832,
            -0.06477027028999743,
            -0.25227716562212343,
            1.4292860948205221e-16,
            -0.06487673155672291,
            -0.25081823999871994,
            -0.02636205930574826,
            -0.06519021654319368,
            -0.2464658628203701,
            -0.052387936370133135,
            -0.06569354873926064,
            -0.2392918725594915,
            -0.07775064254303327,
            -0.06635974443026016,
            -0.22941167764400075,
            -0.10214065963186415,
            -0.06715419202580875,
            -0.2169784604493973,
            -0.12527257254881002,
            -0.06803721331827695,
            -0.20217625334893874,
            -0.14688964621079023,
            -0.06896667562050701,
            -0.18521272053011373,
            -0.16676628262072,
            -0.06990038610112292,
            -0.16631235755038473,
            -0.18470858566620454,
            -0.07079809739310428,
            -0.14571060795234156,
            -0.20055344640646605,
            -0.07162305446493428,
            -0.12364916324189498,
            -0.2141666330483399,
            -0.07234309431914193,
            -0.10037251111730186,
            -0.22544035105856924,
            -0.0729313627475543,
            -0.0761256520535316,
            -0.23429066608188562,
            -0.0733667368705948,
            -0.05115281831097297,
            -0.24065508921048373,
            -0.07363404479549096,
            -0.025696990634337544,
            -0.24449053427183,
            -0.07372416204138299,
            -4.5147544009052396e-17,
            -0.24577178247358544,
            -0.07363404479549096,
            0.025696990634337235,
            -0.24449053427183,
            -0.0733667368705948,
            0.05115281831097289,
            -0.24065508921048373,
            -0.0729313627475543,
            0.07612565205353151,
            -0.23429066608188562,
            -0.07234309431914193,
            0.10037251111730158,
            -0.22544035105856938,
            -0.07162305446493428,
            0.12364916324189489,
            -0.2141666330483399,
            -0.07079809739310428,
            0.14571060795234148,
            -0.2005534464064661,
            -0.06990038610112292,
            0.16631235755038473,
            -0.18470858566620454,
            -0.06896667562050701,
            0.18521272053011373,
            -0.16676628262071996,
            -0.06803721331827695,
            0.2021762533489387,
            -0.14688964621079031,
            -0.06715419202580875,
            0.2169784604493973,
            -0.12527257254881,
            -0.06635974443026016,
            0.22941167764400075,
            -0.10214065963186414,
            -0.06569354873926064,
            0.2392918725594915,
            -0.07775064254303335,
            -0.06519021654319368,
            0.2464658628203701,
            -0.052387936370133115,
            -0.06487673155672291,
            0.25081823999871994,
            -0.02636205930574835,
            -0.06477027028999743,
            0.25227716562212343,
            -2.8585721896410443e-16,
            -0.09825178176322297,
            0.2825001645916354,
            0,
            -0.09836496692076352,
            0.28085124504456427,
            0.029518655333822027,
            -0.0986980581283875,
            0.27593381008685236,
            0.05865154192057021,
            -0.09923227206318502,
            0.2678339940972893,
            0.08702454000293726,
            -0.09993822158804272,
            0.25668954416199774,
            0.11428554827969366,
            -0.1007784328277947,
            0.24268210539495566,
            0.14011257887728276,
            -0.1017102597017549,
            0.22602813288131957,
            0.16421905106392554,
            -0.10268879721439805,
            0.2069695926735176,
            0.18635625828991184,
            -0.10366948342865417,
            0.18576540670807648,
            0.20631338551232464,
            -0.1046102078061446,
            0.1626842702961832,
            0.22391568838071216,
            -0.10547286824415669,
            0.13799913455998913,
            0.23902151245843525,
            -0.10622441389443504,
            0.11198337292844249,
            0.2515187736631116,
            -0.1068374668920406,
            0.08490846944163058,
            0.26132139856725445,
            -0.10729063750565299,
            0.05704297216022688,
            0.2683660843591447,
            -0.10756864379825565,
            0.02865242504416583,
            0.2726096143674884,
            -0.1076623288610527,
            7.762549452823718e-17,
            0.2740268699256942,
            -0.10756864379825565,
            -0.028652425044165795,
            0.27260961436748843,
            -0.10729063750565299,
            -0.0570429721602269,
            0.2683660843591447,
            -0.1068374668920406,
            -0.08490846944163055,
            0.2613213985672545,
            -0.10622441389443504,
            -0.11198337292844242,
            0.2515187736631116,
            -0.10547286824415669,
            -0.13799913455998902,
            0.2390215124584353,
            -0.1046102078061446,
            -0.16268427029618318,
            0.22391568838071216,
            -0.10366948342865417,
            -0.1857654067080764,
            0.2063133855123247,
            -0.10268879721439805,
            -0.2069695926735176,
            0.18635625828991192,
            -0.1017102597017549,
            -0.2260281328813195,
            0.16421905106392556,
            -0.1007784328277947,
            -0.24268210539495566,
            0.14011257887728276,
            -0.09993822158804272,
            -0.25668954416199774,
            0.11428554827969364,
            -0.09923227206318502,
            -0.2678339940972893,
            0.0870245400029373,
            -0.0986980581283875,
            -0.27593381008685236,
            0.05865154192057021,
            -0.09836496692076352,
            -0.2808512450445643,
            0.029518655333821982,
            -0.09825178176322297,
            -0.2825001645916354,
            1.6005156710858667e-16,
            -0.09836496692076352,
            -0.2808512450445643,
            -0.029518655333821916,
            -0.0986980581283875,
            -0.27593381008685236,
            -0.058651541920570135,
            -0.09923227206318502,
            -0.2678339940972893,
            -0.08702454000293723,
            -0.09993822158804272,
            -0.25668954416199774,
            -0.11428554827969369,
            -0.1007784328277947,
            -0.24268210539495572,
            -0.1401125788772827,
            -0.1017102597017549,
            -0.22602813288131957,
            -0.1642190510639255,
            -0.10268879721439805,
            -0.2069695926735176,
            -0.18635625828991184,
            -0.10366948342865417,
            -0.18576540670807654,
            -0.20631338551232456,
            -0.1046102078061446,
            -0.16268427029618326,
            -0.22391568838071213,
            -0.10547286824415669,
            -0.13799913455998922,
            -0.23902151245843525,
            -0.10622441389443504,
            -0.11198337292844264,
            -0.2515187736631115,
            -0.1068374668920406,
            -0.08490846944163061,
            -0.26132139856725445,
            -0.10729063750565299,
            -0.05704297216022703,
            -0.2683660843591447,
            -0.10756864379825565,
            -0.028652425044166045,
            -0.2726096143674884,
            -0.1076623288610527,
            -5.0337919370230424e-17,
            -0.2740268699256942,
            -0.10756864379825565,
            0.028652425044165705,
            -0.27260961436748843,
            -0.10729063750565299,
            0.057042972160226926,
            -0.2683660843591447,
            -0.1068374668920406,
            0.08490846944163052,
            -0.2613213985672545,
            -0.10622441389443504,
            0.11198337292844232,
            -0.25151877366311165,
            -0.10547286824415669,
            0.13799913455998913,
            -0.23902151245843525,
            -0.1046102078061446,
            0.16268427029618318,
            -0.2239156883807122,
            -0.10366948342865417,
            0.18576540670807654,
            -0.20631338551232456,
            -0.10268879721439805,
            0.2069695926735176,
            -0.18635625828991184,
            -0.1017102597017549,
            0.2260281328813195,
            -0.1642190510639256,
            -0.1007784328277947,
            0.24268210539495572,
            -0.14011257887728268,
            -0.09993822158804272,
            0.25668954416199774,
            -0.11428554827969366,
            -0.09923227206318502,
            0.2678339940972893,
            -0.08702454000293731,
            -0.0986980581283875,
            0.27593381008685236,
            -0.058651541920570115,
            -0.09836496692076352,
            0.28085124504456427,
            -0.029518655333822016,
            -0.09825178176322297,
            0.2825001645916354,
            -3.2010313421717333e-16,
            -0.1331261861072695,
            0.30972074776741376,
            0,
            -0.13324180294197785,
            0.307896363019759,
            0.032361211776274865,
            -0.13358184746543844,
            0.30245760181452075,
            0.06428934789265515,
            -0.13412658618688805,
            0.293505257540494,
            0.09536563912281824,
            -0.13484527479747932,
            0.2811998034397917,
            0.12519821879451723,
            -0.13569894301525154,
            0.2657515100655552,
            0.15343170587389782,
            -0.13664357121535803,
            0.24740896246294744,
            0.17975313303901327,
            -0.13763320192008144,
            0.22644752382792216,
            0.20389426627589258,
            -0.13862264639550226,
            0.2031589657338864,
            0.22563088984380938,
            -0.1395696036447049,
            0.1778430142200326,
            0.2447799094545507,
            -0.14043615404037568,
            0.150801102948953,
            0.26119517214501137,
            -0.14118969314302282,
            0.1223322749591059,
            0.2747627881935136,
            -0.14180342645169886,
            0.09273096181327954,
            0.28539655455915747,
            -0.1422565612828528,
            0.06228627557355502,
            0.2930338874706195,
            -0.1425343213279604,
            0.03128243756049416,
            0.2976325119670032,
            -0.14262788522533754,
            8.474740889173101e-17,
            0.2991680418147459,
            -0.1425343213279604,
            -0.031282437560494133,
            0.2976325119670032,
            -0.1422565612828528,
            -0.062286275573555046,
            0.2930338874706195,
            -0.14180342645169886,
            -0.09273096181327951,
            0.2853965545591575,
            -0.14118969314302282,
            -0.1223322749591058,
            0.27476278819351363,
            -0.14043615404037568,
            -0.1508011029489529,
            0.2611951721450114,
            -0.1395696036447049,
            -0.17784301422003257,
            0.2447799094545507,
            -0.13862264639550226,
            -0.20315896573388628,
            0.22563088984380944,
            -0.13763320192008144,
            -0.2264475238279221,
            0.20389426627589266,
            -0.13664357121535803,
            -0.24740896246294738,
            0.1797531330390133,
            -0.13569894301525154,
            -0.2657515100655552,
            0.15343170587389782,
            -0.13484527479747932,
            -0.28119980343979173,
            0.12519821879451717,
            -0.13412658618688805,
            -0.293505257540494,
            0.09536563912281827,
            -0.13358184746543844,
            -0.30245760181452075,
            0.06428934789265515,
            -0.13324180294197785,
            -0.307896363019759,
            0.032361211776274816,
            -0.1331261861072695,
            -0.30972074776741376,
            1.7547349438849014e-16,
            -0.13324180294197785,
            -0.307896363019759,
            -0.03236121177627475,
            -0.13358184746543844,
            -0.30245760181452075,
            -0.06428934789265507,
            -0.13412658618688805,
            -0.293505257540494,
            -0.0953656391228182,
            -0.13484527479747932,
            -0.2811998034397917,
            -0.12519821879451726,
            -0.13569894301525154,
            -0.26575151006555525,
            -0.15343170587389773,
            -0.13664357121535803,
            -0.24740896246294744,
            -0.17975313303901325,
            -0.13763320192008144,
            -0.22644752382792216,
            -0.20389426627589258,
            -0.13862264639550226,
            -0.20315896573388648,
            -0.2256308898438093,
            -0.1395696036447049,
            -0.17784301422003265,
            -0.24477990945455066,
            -0.14043615404037568,
            -0.1508011029489531,
            -0.26119517214501137,
            -0.14118969314302282,
            -0.12233227495910605,
            -0.2747627881935135,
            -0.14180342645169886,
            -0.09273096181327957,
            -0.28539655455915747,
            -0.1422565612828528,
            -0.062286275573555185,
            -0.2930338874706194,
            -0.1425343213279604,
            -0.0312824375604944,
            -0.2976325119670032,
            -0.14262788522533754,
            -5.495627772234151e-17,
            -0.2991680418147459,
            -0.1425343213279604,
            0.03128243756049402,
            -0.2976325119670032,
            -0.1422565612828528,
            0.062286275573555074,
            -0.2930338874706194,
            -0.14180342645169886,
            0.09273096181327947,
            -0.2853965545591575,
            -0.14118969314302282,
            0.12233227495910572,
            -0.27476278819351363,
            -0.14043615404037568,
            0.150801102948953,
            -0.26119517214501137,
            -0.1395696036447049,
            0.17784301422003254,
            -0.24477990945455075,
            -0.13862264639550226,
            0.20315896573388648,
            -0.2256308898438093,
            -0.13763320192008144,
            0.22644752382792216,
            -0.20389426627589255,
            -0.13664357121535803,
            0.24740896246294738,
            -0.17975313303901333,
            -0.13569894301525154,
            0.26575151006555525,
            -0.15343170587389773,
            -0.13484527479747932,
            0.28119980343979173,
            -0.12519821879451723,
            -0.13412658618688805,
            0.293505257540494,
            -0.09536563912281831,
            -0.13358184746543844,
            0.30245760181452075,
            -0.06428934789265506,
            -0.13324180294197785,
            0.307896363019759,
            -0.03236121177627486,
            -0.1331261861072695,
            0.30972074776741376,
            -3.509469887769803e-16,
            -0.16942855847659913,
            0.33387094653543953,
            0,
            -0.16954185360432886,
            0.3318868834325442,
            0.03488271707788627,
            -0.1698748703766883,
            0.32597419351156903,
            0.06928795376597753,
            -0.1704077367156835,
            0.31624837834867703,
            0.10275532702720135,
            -0.17110962178873848,
            0.3028925387325467,
            0.1348564468096566,
            -0.1719416779128803,
            0.28614512888608046,
            0.16520596718967867,
            -0.17286034722084853,
            0.26628591674929475,
            0.1934680431272577,
            -0.17382053631431288,
            0.24362212692344046,
            0.2193583483623075,
            -0.17477830623608698,
            0.21847626211985666,
            0.24264247090341592,
            -0.17569290625566686,
            0.1911764547305194,
            0.2631318159108626,
            -0.1765281384278623,
            0.1620496065237907,
            0.28067815184575035,
            -0.1772531455073779,
            0.13141714887779837,
            0.29516774910118015,
            -0.1778427649322181,
            0.09959302064594369,
            0.30651580005957596,
            -0.1782775992209658,
            0.06688337936853218,
            0.31466156040086674,
            -0.1785439352846633,
            0.03358757780112762,
            0.31956445633448427,
            -0.17863361594838142,
            9.098891498324973e-17,
            0.32120127185438024,
            -0.1785439352846633,
            -0.03358757780112758,
            0.3195644563344843,
            -0.1782775992209658,
            -0.06688337936853223,
            0.31466156040086674,
            -0.1778427649322181,
            -0.09959302064594364,
            0.30651580005957596,
            -0.1772531455073779,
            -0.1314171488777983,
            0.2951677491011802,
            -0.1765281384278623,
            -0.16204960652379058,
            0.2806781518457504,
            -0.17569290625566686,
            -0.19117645473051934,
            0.2631318159108626,
            -0.17477830623608698,
            -0.21847626211985652,
            0.242642470903416,
            -0.17382053631431288,
            -0.24362212692344043,
            0.21935834836230753,
            -0.17286034722084853,
            -0.26628591674929475,
            0.19346804312725774,
            -0.1719416779128803,
            -0.28614512888608046,
            0.16520596718967867,
            -0.17110962178873848,
            -0.30289253873254673,
            0.13485644680965658,
            -0.1704077367156835,
            -0.31624837834867703,
            0.10275532702720139,
            -0.1698748703766883,
            -0.32597419351156903,
            0.06928795376597753,
            -0.16954185360432886,
            -0.33188688343254424,
            0.034882717077886205,
            -0.16942855847659913,
            -0.33387094653543953,
            1.8915588343910817e-16,
            -0.16954185360432886,
            -0.33188688343254424,
            -0.03488271707788613,
            -0.1698748703766883,
            -0.32597419351156903,
            -0.06928795376597745,
            -0.1704077367156835,
            -0.31624837834867703,
            -0.10275532702720132,
            -0.17110962178873848,
            -0.3028925387325467,
            -0.1348564468096566,
            -0.1719416779128803,
            -0.2861451288860805,
            -0.16520596718967862,
            -0.17286034722084853,
            -0.26628591674929475,
            -0.19346804312725766,
            -0.17382053631431288,
            -0.24362212692344046,
            -0.2193583483623075,
            -0.17477830623608698,
            -0.2184762621198567,
            -0.24264247090341587,
            -0.17569290625566686,
            -0.19117645473051942,
            -0.2631318159108626,
            -0.1765281384278623,
            -0.16204960652379077,
            -0.2806781518457503,
            -0.1772531455073779,
            -0.13141714887779854,
            -0.29516774910118004,
            -0.1778427649322181,
            -0.0995930206459437,
            -0.30651580005957596,
            -0.1782775992209658,
            -0.06688337936853236,
            -0.3146615604008667,
            -0.1785439352846633,
            -0.03358757780112787,
            -0.31956445633448427,
            -0.17863361594838142,
            -5.900371641877883e-17,
            -0.32120127185438024,
            -0.1785439352846633,
            0.03358757780112747,
            -0.3195644563344843,
            -0.1782775992209658,
            0.06688337936853225,
            -0.3146615604008667,
            -0.1778427649322181,
            0.09959302064594361,
            -0.30651580005957596,
            -0.1772531455073779,
            0.13141714887779818,
            -0.2951677491011802,
            -0.1765281384278623,
            0.1620496065237907,
            -0.28067815184575035,
            -0.17569290625566686,
            0.1911764547305193,
            -0.26313181591086265,
            -0.17477830623608698,
            0.2184762621198567,
            -0.24264247090341587,
            -0.17382053631431288,
            0.24362212692344046,
            -0.21935834836230744,
            -0.17286034722084853,
            0.26628591674929475,
            -0.19346804312725777,
            -0.1719416779128803,
            0.2861451288860805,
            -0.1652059671896786,
            -0.17110962178873848,
            0.30289253873254673,
            -0.1348564468096566,
            -0.1704077367156835,
            0.31624837834867703,
            -0.10275532702720143,
            -0.1698748703766883,
            0.32597419351156903,
            -0.06928795376597743,
            -0.16954185360432886,
            0.3318868834325442,
            -0.03488271707788625,
            -0.16942855847659913,
            0.33387094653543953,
            -3.7831176687821634e-16,
            -0.20712884896011138,
            0.3548472426062044,
            0,
            -0.20723476184231893,
            0.3527209107288523,
            0.03707246158436895,
            -0.20754589778508048,
            0.34638641430341827,
            0.07362670523354234,
            -0.20804319409919095,
            0.3359736015486311,
            0.10916444055745672,
            -0.2086971955876113,
            0.32168748056119734,
            0.14322449405047716,
            -0.20947100138352012,
            0.30379349792471977,
            0.17539525780489496,
            -0.21032353060867384,
            0.28260087473785056,
            0.20532155394856427,
            -0.2112125978042654,
            0.258446435250211,
            0.23270621553364984,
            -0.2120974532266697,
            0.23168069623119178,
            0.2573074806787022,
            -0.21294063814749176,
            0.20265714501507615,
            0.27893363045305564,
            -0.2137091673720555,
            0.17172489839336819,
            0.29743624894191667,
            -0.21437515208505228,
            0.1392244388179039,
            0.3127032094111897,
            -0.2149160177625057,
            0.10548587760417787,
            0.32465214890686195,
            -0.21531447129377254,
            0.07082913616736469,
            0.3332248866413335,
            -0.2155583478502547,
            0.035565487913936815,
            0.33838301400544346,
            -0.2156404360345889,
            9.634383206685988e-17,
            0.34010474134016283,
            -0.2155583478502547,
            -0.03556548791393678,
            0.3383830140054435,
            -0.21531447129377254,
            -0.07082913616736473,
            0.3332248866413335,
            -0.2149160177625057,
            -0.10548587760417782,
            0.324652148906862,
            -0.21437515208505228,
            -0.1392244388179038,
            0.3127032094111897,
            -0.2137091673720555,
            -0.17172489839336808,
            0.2974362489419167,
            -0.21294063814749176,
            -0.2026571450150761,
            0.27893363045305564,
            -0.2120974532266697,
            -0.2316806962311917,
            0.2573074806787023,
            -0.2112125978042654,
            -0.258446435250211,
            0.23270621553364992,
            -0.21032353060867384,
            -0.2826008747378505,
            0.20532155394856433,
            -0.20947100138352012,
            -0.30379349792471977,
            0.17539525780489496,
            -0.2086971955876113,
            -0.32168748056119734,
            0.1432244940504771,
            -0.20804319409919095,
            -0.3359736015486311,
            0.10916444055745675,
            -0.20754589778508048,
            -0.34638641430341827,
            0.07362670523354234,
            -0.20723476184231893,
            -0.35272091072885237,
            0.037072461584368895,
            -0.20712884896011138,
            -0.3548472426062044,
            2.0104008557085808e-16,
            -0.20723476184231893,
            -0.35272091072885237,
            -0.037072461584368804,
            -0.20754589778508048,
            -0.34638641430341827,
            -0.07362670523354226,
            -0.20804319409919095,
            -0.33597360154863115,
            -0.10916444055745668,
            -0.2086971955876113,
            -0.32168748056119734,
            -0.14322449405047719,
            -0.20947100138352012,
            -0.3037934979247198,
            -0.17539525780489487,
            -0.21032353060867384,
            -0.28260087473785056,
            -0.20532155394856424,
            -0.2112125978042654,
            -0.258446435250211,
            -0.23270621553364984,
            -0.2120974532266697,
            -0.23168069623119186,
            -0.2573074806787022,
            -0.21294063814749176,
            -0.20265714501507617,
            -0.2789336304530556,
            -0.2137091673720555,
            -0.1717248983933683,
            -0.2974362489419166,
            -0.21437515208505228,
            -0.1392244388179041,
            -0.31270320941118956,
            -0.2149160177625057,
            -0.1054858776041779,
            -0.32465214890686195,
            -0.21531447129377254,
            -0.07082913616736489,
            -0.3332248866413335,
            -0.2155583478502547,
            -0.035565487913937086,
            -0.33838301400544346,
            -0.2156404360345889,
            -6.247622742856033e-17,
            -0.34010474134016283,
            -0.2155583478502547,
            0.03556548791393666,
            -0.3383830140054435,
            -0.21531447129377254,
            0.07082913616736476,
            -0.3332248866413335,
            -0.2149160177625057,
            0.10548587760417778,
            -0.324652148906862,
            -0.21437515208505228,
            0.1392244388179037,
            -0.31270320941118973,
            -0.2137091673720555,
            0.17172489839336819,
            -0.29743624894191667,
            -0.21294063814749176,
            0.20265714501507606,
            -0.27893363045305564,
            -0.2120974532266697,
            0.23168069623119186,
            -0.2573074806787022,
            -0.2112125978042654,
            0.258446435250211,
            -0.23270621553364979,
            -0.21032353060867384,
            0.2826008747378505,
            -0.20532155394856438,
            -0.20947100138352012,
            0.3037934979247198,
            -0.17539525780489487,
            -0.2086971955876113,
            0.32168748056119734,
            -0.14322449405047716,
            -0.20804319409919095,
            0.3359736015486311,
            -0.10916444055745679,
            -0.20754589778508048,
            0.34638641430341827,
            -0.07362670523354223,
            -0.20723476184231893,
            0.3527209107288523,
            -0.037072461584368936,
            -0.20712884896011138,
            0.3548472426062044,
            -4.0208017114171616e-16,
            -0.24614184136503578,
            0.37252352354616863,
            0,
            -0.24623521997536124,
            0.3702742178464211,
            0.03891738850534458,
            -0.24650938330759548,
            0.36357551748818057,
            0.07728036190468665,
            -0.24694712219177134,
            0.35257075779832725,
            0.11455718352443807,
            -0.24752194677495182,
            0.3374853942789293,
            0.15025817840564065,
            -0.24820085013368104,
            0.31860980566475405,
            0.18394945706700006,
            -0.24894733071808597,
            0.29628005737288304,
            0.2152600618812678,
            -0.24972418788371328,
            0.2708595246750337,
            0.24388301145399097,
            -0.25049577609693047,
            0.24272339774084584,
            0.2695716431728472,
            -0.2512295972229121,
            0.2122470426450785,
            0.2921329921701602,
            -0.25189726381428973,
            0.17979831653789524,
            0.311419819358986,
            -0.2524749555677772,
            0.14573337972129125,
            0.32732253003936695,
            -0.25294352227483713,
            0.11039530089673952,
            0.33976180015140367,
            -0.2532883790723359,
            0.07411472474337727,
            0.3486823655834007,
            -0.2534993132027721,
            0.03721196267104992,
            0.354048174909295,
            -0.2535702896488599,
            1.0080097219201766e-16,
            0.355838955527654,
            -0.2534993132027721,
            -0.03721196267104987,
            0.3540481749092951,
            -0.2532883790723359,
            -0.07411472474337731,
            0.3486823655834007,
            -0.25294352227483713,
            -0.11039530089673948,
            0.3397618001514037,
            -0.25247495556777644,
            -0.14573337972129188,
            0.3273225300393686,
            -0.25189726381428973,
            -0.1797983165378951,
            0.311419819358986,
            -0.2512295972229121,
            -0.21224704264507846,
            0.2921329921701602,
            -0.25049577609693047,
            -0.2427233977408457,
            0.26957164317284726,
            -0.24972418788371328,
            -0.2708595246750337,
            0.243883011453991,
            -0.24894733071808597,
            -0.296280057372883,
            0.21526006188126787,
            -0.24820085013368104,
            -0.31860980566475405,
            0.18394945706700006,
            -0.24752194677495182,
            -0.3374853942789294,
            0.15025817840564062,
            -0.24694712219177134,
            -0.35257075779832725,
            0.1145571835244381,
            -0.24650938330759548,
            -0.36357551748818057,
            0.07728036190468665,
            -0.24623521997536124,
            -0.37027421784642117,
            0.03891738850534452,
            -0.24614184136503578,
            -0.37252352354616863,
            2.1105465129397017e-16,
            -0.24623521997536124,
            -0.37027421784642117,
            -0.03891738850534443,
            -0.24650938330759548,
            -0.36357551748818057,
            -0.07728036190468655,
            -0.24694712219177214,
            -0.3525707577983256,
            -0.11455718352443749,
            -0.24752194677495182,
            -0.3374853942789293,
            -0.15025817840564068,
            -0.24820085013368104,
            -0.31860980566475405,
            -0.18394945706699997,
            -0.24894733071808597,
            -0.29628005737288304,
            -0.21526006188126776,
            -0.24972418788371328,
            -0.2708595246750337,
            -0.24388301145399097,
            -0.25049577609693047,
            -0.24272339774084586,
            -0.2695716431728471,
            -0.2512295972229121,
            -0.21224704264507854,
            -0.2921329921701602,
            -0.25189726381428973,
            -0.17979831653789535,
            -0.31141981935898594,
            -0.25247495556777644,
            -0.1457333797212922,
            -0.32732253003936845,
            -0.25294352227483713,
            -0.11039530089673955,
            -0.33976180015140367,
            -0.2532883790723359,
            -0.07411472474337748,
            -0.34868236558340066,
            -0.2534993132027721,
            -0.03721196267105019,
            -0.354048174909295,
            -0.2535702896488599,
            -6.536655568483182e-17,
            -0.355838955527654,
            -0.2534993132027721,
            0.037211962671049745,
            -0.3540481749092951,
            -0.2532883790723359,
            0.07411472474337734,
            -0.34868236558340066,
            -0.25294352227483713,
            0.11039530089673943,
            -0.3397618001514037,
            -0.25247495556777644,
            0.14573337972129174,
            -0.3273225300393686,
            -0.25189726381428973,
            0.17979831653789524,
            -0.311419819358986,
            -0.2512295972229121,
            0.2122470426450784,
            -0.29213299217016025,
            -0.25049577609693047,
            0.24272339774084586,
            -0.2695716431728471,
            -0.24972418788371328,
            0.2708595246750337,
            -0.2438830114539909,
            -0.24894733071808597,
            0.296280057372883,
            -0.2152600618812679,
            -0.24820085013368104,
            0.31860980566475405,
            -0.18394945706699997,
            -0.24752194677495182,
            0.3374853942789294,
            -0.15025817840564065,
            -0.24694712219177134,
            0.35257075779832725,
            -0.11455718352443814,
            -0.24650938330759548,
            0.36357551748818057,
            -0.07728036190468653,
            -0.24623521997536124,
            0.3702742178464211,
            -0.03891738850534456,
            -0.24614184136503578,
            0.37252352354616863,
            -4.2210930258794034e-16,
            -0.2863337302912896,
            0.38676100946072317,
            0,
            -0.28640959932694976,
            0.3844100704436559,
            0.040403126482405266,
            -0.28663224240843044,
            0.3774107039964416,
            0.08022112157894609,
            -0.28698738175842,
            0.36591830712702733,
            0.11889406519777304,
            -0.2874531155068166,
            0.3501764956431791,
            0.15590862078116294,
            -0.28800228627722313,
            0.3304975701385001,
            0.19081286108598022,
            -0.28860504103390844,
            0.3072408966928525,
            0.22322357778985896,
            -0.2892311605688517,
            0.28079254292951383,
            0.2528267412624091,
            -0.2898518972457683,
            0.25154841337453404,
            0.2793728159791846,
            -0.29044123341670436,
            0.2199018745644393,
            0.30266896442821406,
            -0.290976604708847,
            0.18623585565031742,
            0.322569964177413,
            -0.29143920408047247,
            0.1509188085160136,
            0.33896919380077517,
            -0.291814003027692,
            0.11430367558794316,
            0.3517905405956335,
            -0.29208961476016654,
            0.0767290232967348,
            0.3609816732726925,
            -0.29225809834173155,
            0.03852163200384551,
            0.36650884625603086,
            -0.2923147744601008,
            1.0434598281232133e-16,
            0.3683532482872549,
            -0.29225809834173216,
            -0.038521632003845264,
            0.3665088462560291,
            -0.29208961476016654,
            -0.07672902329673484,
            0.3609816732726925,
            -0.291814003027692,
            -0.1143036755879431,
            0.3517905405956335,
            -0.29143920408047247,
            -0.1509188085160135,
            0.3389691938007752,
            -0.290976604708847,
            -0.18623585565031728,
            0.32256996417741307,
            -0.29044123341670436,
            -0.21990187456443924,
            0.30266896442821406,
            -0.2898518972457683,
            -0.25154841337453393,
            0.27937281597918473,
            -0.2892311605688517,
            -0.2807925429295138,
            0.25282674126240917,
            -0.28860504103390844,
            -0.3072408966928524,
            0.22322357778985902,
            -0.28800228627722313,
            -0.3304975701385001,
            0.19081286108598022,
            -0.2874531155068166,
            -0.35017649564317915,
            0.15590862078116288,
            -0.28698738175842,
            -0.36591830712702733,
            0.11889406519777308,
            -0.28663224240843044,
            -0.3774107039964416,
            0.08022112157894609,
            -0.28640959932694976,
            -0.38441007044365594,
            0.0404031264824052,
            -0.2863337302912896,
            -0.38676100946072317,
            2.1912095431933253e-16,
            -0.28640959932694976,
            -0.38441007044365594,
            -0.040403126482405106,
            -0.28663224240843044,
            -0.3774107039964416,
            -0.080221121578946,
            -0.28698738175842,
            -0.3659183071270274,
            -0.118894065197773,
            -0.2874531155068166,
            -0.3501764956431791,
            -0.15590862078116297,
            -0.28800228627722313,
            -0.3304975701385002,
            -0.19081286108598014,
            -0.28860504103390844,
            -0.3072408966928525,
            -0.22322357778985893,
            -0.2892311605688517,
            -0.28079254292951383,
            -0.2528267412624091,
            -0.2898518972457683,
            -0.25154841337453415,
            -0.27937281597918456,
            -0.29044123341670436,
            -0.21990187456443933,
            -0.302668964428214,
            -0.290976604708847,
            -0.18623585565031753,
            -0.322569964177413,
            -0.29143920408047247,
            -0.1509188085160138,
            -0.33896919380077506,
            -0.291814003027692,
            -0.1143036755879432,
            -0.3517905405956335,
            -0.29208961476016654,
            -0.07672902329673499,
            -0.3609816732726925,
            -0.29225809834173216,
            -0.0385216320038456,
            -0.36650884625602903,
            -0.2923147744601008,
            -6.766539397057755e-17,
            -0.3683532482872549,
            -0.29225809834173216,
            0.03852163200384514,
            -0.3665088462560291,
            -0.29208961476016654,
            0.07672902329673487,
            -0.3609816732726925,
            -0.291814003027692,
            0.11430367558794306,
            -0.3517905405956335,
            -0.29143920408047247,
            0.15091880851601336,
            -0.3389691938007752,
            -0.290976604708847,
            0.18623585565031742,
            -0.322569964177413,
            -0.29044123341670436,
            0.21990187456443921,
            -0.3026689644282141,
            -0.2898518972457683,
            0.25154841337453415,
            -0.27937281597918456,
            -0.2892311605688517,
            0.28079254292951383,
            -0.25282674126240906,
            -0.28860504103390844,
            0.3072408966928524,
            -0.22322357778985907,
            -0.28800228627722313,
            0.3304975701385002,
            -0.1908128610859801,
            -0.2874531155068166,
            0.35017649564317915,
            -0.15590862078116294,
            -0.28698738175842,
            0.36591830712702733,
            -0.11889406519777312,
            -0.28663224240843044,
            0.3774107039964416,
            -0.08022112157894597,
            -0.28640959932694976,
            0.3844100704436559,
            -0.04040312648240525,
            -0.2863337302912896,
            0.38676100946072317,
            -4.3824190863866505e-16,
            -0.32752656232595834,
            0.3974162783324484,
            0,
            -0.32758043159742756,
            0.39498714372429045,
            0.04151482168091538,
            -0.3277384467946885,
            0.38775672439522507,
            0.08242023610187942,
            -0.3279902905264812,
            0.37589045004824817,
            0.12213421084652722,
            -0.3283201828752097,
            0.3596469392904054,
            0.16012513395550612,
            -0.3287086389509407,
            0.339356423615128,
            0.1959275225254228,
            -0.32913434917028705,
            0.31539708416648343,
            0.22914939485583646,
            -0.329575866648397,
            0.28817302892673463,
            0.25947216070319024,
            -0.3300129134586561,
            0.25809633210087285,
            0.286645016462741,
            -0.3304272509334081,
            0.22557411784225154,
            0.31047613752430897,
            -0.33080315659379117,
            0.19100055714172878,
            0.33082266924343673,
            -0.3311276001476824,
            0.1547530133860587,
            0.3475809589375791,
            -0.3313902222123607,
            0.11719135393166204,
            0.36067790069475464,
            -0.3315832077553991,
            0.07865949239276529,
            0.3700638163072952,
            -0.3317011253942256,
            0.03948839734100474,
            0.3757070040154732,
            -0.3317407822049235,
            1.0696252252581897e-16,
            0.3775899326019063,
            -0.3317011253942256,
            -0.0394883973410047,
            0.37570700401547324,
            -0.3315832077553991,
            -0.07865949239276533,
            0.3700638163072952,
            -0.3313902222123607,
            -0.117191353931662,
            0.36067790069475464,
            -0.3311276001476824,
            -0.1547530133860586,
            0.3475809589375792,
            -0.33080315659379117,
            -0.19100055714172864,
            0.3308226692434368,
            -0.3304272509334081,
            -0.2255741178422515,
            0.31047613752430897,
            -0.3300129134586561,
            -0.25809633210087274,
            0.28664501646274104,
            -0.329575866648397,
            -0.2881730289267346,
            0.25947216070319035,
            -0.32913434917028705,
            -0.3153970841664834,
            0.22914939485583652,
            -0.3287086389509407,
            -0.339356423615128,
            0.1959275225254228,
            -0.3283201828752097,
            -0.3596469392904055,
            0.16012513395550607,
            -0.3279902905264812,
            -0.37589045004824817,
            0.12213421084652727,
            -0.3277384467946885,
            -0.38775672439522507,
            0.08242023610187942,
            -0.32758043159742756,
            -0.39498714372429045,
            0.04151482168091532,
            -0.32752656232595834,
            -0.3974162783324484,
            2.2515773834509826e-16,
            -0.32758043159742756,
            -0.39498714372429045,
            -0.04151482168091522,
            -0.3277384467946885,
            -0.38775672439522507,
            -0.08242023610187932,
            -0.3279902905264812,
            -0.37589045004824817,
            -0.12213421084652717,
            -0.3283201828752097,
            -0.3596469392904054,
            -0.16012513395550615,
            -0.3287086389509407,
            -0.3393564236151281,
            -0.1959275225254227,
            -0.32913434917028705,
            -0.31539708416648343,
            -0.2291493948558364,
            -0.329575866648397,
            -0.28817302892673463,
            -0.25947216070319024,
            -0.3300129134586561,
            -0.25809633210087296,
            -0.2866450164627409,
            -0.3304272509334081,
            -0.2255741178422516,
            -0.3104761375243089,
            -0.33080315659379117,
            -0.1910005571417289,
            -0.3308226692434367,
            -0.3311276001476824,
            -0.1547530133860589,
            -0.34758095893757895,
            -0.3313902222123607,
            -0.11719135393166208,
            -0.36067790069475464,
            -0.3315832077553991,
            -0.0786594923927655,
            -0.3700638163072952,
            -0.3317011253942256,
            -0.03948839734100503,
            -0.3757070040154732,
            -0.3317407822049235,
            -6.93621453526784e-17,
            -0.3775899326019063,
            -0.3317011253942256,
            0.03948839734100456,
            -0.37570700401547324,
            -0.3315832077553991,
            0.07865949239276536,
            -0.3700638163072952,
            -0.3313902222123607,
            0.11719135393166195,
            -0.36067790069475464,
            -0.3311276001476824,
            0.15475301338605849,
            -0.3475809589375792,
            -0.33080315659379117,
            0.19100055714172878,
            -0.33082266924343673,
            -0.3304272509334081,
            0.22557411784225145,
            -0.310476137524309,
            -0.3300129134586561,
            0.25809633210087296,
            -0.2866450164627409,
            -0.329575866648397,
            0.28817302892673463,
            -0.2594721607031902,
            -0.32913434917028705,
            0.3153970841664834,
            -0.22914939485583655,
            -0.3287086389509407,
            0.3393564236151281,
            -0.1959275225254227,
            -0.3283201828752097,
            0.3596469392904055,
            -0.16012513395550612,
            -0.3279902905264812,
            0.37589045004824817,
            -0.12213421084652731,
            -0.3277384467946885,
            0.38775672439522507,
            -0.08242023610187929,
            -0.32758043159742756,
            0.39498714372429045,
            -0.04151482168091536,
            -0.32752656232595834,
            0.3974162783324484,
            -4.503154766901965e-16,
            -0.36950129885022187,
            0.4043481315700779,
            0,
            -0.3695294950714189,
            0.4018662706793278,
            0.04223784705882008,
            -0.3696121751018272,
            0.39448029015832053,
            0.08384937412264526,
            -0.36974386434594064,
            0.3823630233896882,
            0.12423727741047312,
            -0.36991620929721064,
            0.36578407844112976,
            0.16285756435113866,
            -0.37011892909449035,
            0.34508667752719313,
            0.19923588616407847,
            -0.37034082536573076,
            0.32066243729917354,
            0.23297489783170208,
            -0.37057067851722275,
            0.29292811850199246,
            0.26375366258775096,
            -0.370797931192872,
            0.2623068919579141,
            0.2913213169344084,
            -0.3710131336174205,
            0.22921507907331568,
            0.3154874907358821,
            -0.37120817794284205,
            0.19405413090179835,
            0.33611161414053636,
            -0.37137637416940406,
            0.15720695895972034,
            0.3530926109371826,
            -0.3715124245799175,
            0.1190375329235538,
            0.3663598553847787,
            -0.37161234605519144,
            0.0798927407501903,
            0.37586579366210177,
            -0.3716733777050565,
            0.04010570883856773,
            0.38158033058506946,
            -0.37169389947895787,
            1.0863300595701459e-16,
            0.38348693008572593,
            -0.3716733777050565,
            -0.040105708838567684,
            0.38158033058506946,
            -0.37161234605519144,
            -0.07989274075019034,
            0.37586579366210177,
            -0.3715124245799175,
            -0.11903753292355375,
            0.3663598553847788,
            -0.37137637416940406,
            -0.15720695895972023,
            0.35309261093718264,
            -0.37120817794284205,
            -0.1940541309017982,
            0.3361116141405364,
            -0.3710131336174205,
            -0.22921507907331562,
            0.3154874907358821,
            -0.370797931192872,
            -0.262306891957914,
            0.2913213169344085,
            -0.37057067851722275,
            -0.29292811850199246,
            0.263753662587751,
            -0.37034082536573076,
            -0.3206624372991735,
            0.2329748978317021,
            -0.37011892909449035,
            -0.34508667752719313,
            0.19923588616407847,
            -0.36991620929721064,
            -0.3657840784411298,
            0.1628575643511386,
            -0.36974386434594064,
            -0.3823630233896882,
            0.12423727741047316,
            -0.3696121751018272,
            -0.39448029015832053,
            0.08384937412264526,
            -0.3695294950714189,
            -0.40186627067932784,
            0.04223784705882001,
            -0.36950129885022187,
            -0.4043481315700779,
            2.2908500676015596e-16,
            -0.3695294950714189,
            -0.40186627067932784,
            -0.04223784705881992,
            -0.3696121751018272,
            -0.39448029015832053,
            -0.08384937412264516,
            -0.36974386434594064,
            -0.3823630233896882,
            -0.12423727741047308,
            -0.36991620929721064,
            -0.36578407844112976,
            -0.16285756435113868,
            -0.37011892909449035,
            -0.3450866775271932,
            -0.1992358861640784,
            -0.37034082536573076,
            -0.32066243729917354,
            -0.23297489783170203,
            -0.37057067851722275,
            -0.29292811850199246,
            -0.26375366258775096,
            -0.370797931192872,
            -0.26230689195791423,
            -0.2913213169344083,
            -0.3710131336174205,
            -0.22921507907331573,
            -0.31548749073588206,
            -0.37120817794284205,
            -0.19405413090179846,
            -0.3361116141405363,
            -0.37137637416940406,
            -0.15720695895972053,
            -0.35309261093718247,
            -0.3715124245799175,
            -0.11903753292355385,
            -0.3663598553847787,
            -0.37161234605519144,
            -0.07989274075019051,
            -0.3758657936621017,
            -0.3716733777050565,
            -0.04010570883856803,
            -0.38158033058506946,
            -0.37169389947895787,
            -7.044540621664936e-17,
            -0.38348693008572593,
            -0.3716733777050565,
            0.04010570883856755,
            -0.38158033058506946,
            -0.37161234605519144,
            0.07989274075019037,
            -0.3758657936621017,
            -0.3715124245799175,
            0.11903753292355371,
            -0.3663598553847788,
            -0.37137637416940406,
            0.1572069589597201,
            -0.3530926109371827,
            -0.37120817794284205,
            0.19405413090179835,
            -0.33611161414053636,
            -0.3710131336174205,
            0.2292150790733156,
            -0.31548749073588217,
            -0.370797931192872,
            0.26230689195791423,
            -0.2913213169344083,
            -0.37057067851722275,
            0.29292811850199246,
            -0.2637536625877509,
            -0.37034082536573076,
            0.3206624372991735,
            -0.23297489783170217,
            -0.37011892909449035,
            0.3450866775271932,
            -0.19923588616407836,
            -0.36991620929721064,
            0.3657840784411298,
            -0.16285756435113866,
            -0.36974386434594064,
            0.3823630233896882,
            -0.12423727741047322,
            -0.3696121751018272,
            0.39448029015832053,
            -0.08384937412264513,
            -0.3695294950714189,
            0.4018662706793278,
            -0.04223784705882006,
            -0.36950129885022187,
            0.4043481315700779,
            -4.581700135203119e-16,
            -0.4119999999999999,
            0.40742381608793227,
            0,
            -0.4119999999999999,
            0.40491653776430736,
            0.04255844304814292,
            -0.4119999999999999,
            0.39745580887616727,
            0.08448184015049556,
            -0.4119999999999999,
            0.38521869184750873,
            0.12516514033833007,
            -0.4119999999999999,
            0.3684809989462684,
            0.16405831072202318,
            -0.4119999999999999,
            0.3475931565372801,
            0.20068300249527038,
            -0.4119999999999999,
            0.3229540512390816,
            0.2346398528168152,
            -0.4119999999999999,
            0.29498707243464506,
            0.2656075530357343,
            -0.4119999999999999,
            0.2641209651108414,
            0.29333604928086504,
            -0.4119999999999999,
            0.23077642251585176,
            0.31763649562183505,
            -0.4119999999999999,
            0.19535810674183837,
            0.338370166547328,
            -0.4119999999999999,
            0.15825112916109574,
            0.35543785560768676,
            -0.4119999999999999,
            0.11982084202359375,
            0.3687706329064912,
            -0.4119999999999999,
            0.08041489649906153,
            0.3783223433200786,
            -0.4119999999999999,
            0.040366744980136364,
            0.3840639235716774,
            -0.4119999999999999,
            1.0933908422399179e-16,
            0.3859794670878824,
            -0.4119999999999999,
            -0.040366744980136315,
            0.38406392357167746,
            -0.4119999999999999,
            -0.08041489649906157,
            0.3783223433200786,
            -0.4119999999999999,
            -0.11982084202359371,
            0.36877063290649126,
            -0.4119999999999999,
            -0.15825112916109563,
            0.35543785560768676,
            -0.4119999999999999,
            -0.19535810674183823,
            0.338370166547328,
            -0.4119999999999999,
            -0.23077642251585173,
            0.31763649562183505,
            -0.4119999999999999,
            -0.26412096511084127,
            0.29333604928086515,
            -0.4119999999999999,
            -0.294987072434645,
            0.26560755303573436,
            -0.4119999999999999,
            -0.32295405123908155,
            0.23463985281681524,
            -0.4119999999999999,
            -0.3475931565372801,
            0.20068300249527038,
            -0.4119999999999999,
            -0.36848099894626846,
            0.16405831072202312,
            -0.4119999999999999,
            -0.38521869184750873,
            0.12516514033833012,
            -0.4119999999999999,
            -0.39745580887616727,
            0.08448184015049556,
            -0.4119999999999999,
            -0.40491653776430736,
            0.04255844304814285,
            -0.4119999999999999,
            -0.40742381608793227,
            2.308275477874357e-16,
            -0.4119999999999999,
            -0.40491653776430736,
            -0.04255844304814276,
            -0.4119999999999999,
            -0.39745580887616727,
            -0.08448184015049545,
            -0.4119999999999999,
            -0.3852186918475088,
            -0.12516514033833004,
            -0.4119999999999999,
            -0.3684809989462684,
            -0.1640583107220232,
            -0.4119999999999999,
            -0.3475931565372802,
            -0.2006830024952703,
            -0.4119999999999999,
            -0.3229540512390816,
            -0.23463985281681515,
            -0.4119999999999999,
            -0.29498707243464506,
            -0.2656075530357343,
            -0.4119999999999999,
            -0.26412096511084143,
            -0.29333604928086493,
            -0.4119999999999999,
            -0.23077642251585181,
            -0.317636495621835,
            -0.4119999999999999,
            -0.19535810674183848,
            -0.33837016654732793,
            -0.4119999999999999,
            -0.15825112916109596,
            -0.3554378556076866,
            -0.4119999999999999,
            -0.11982084202359379,
            -0.3687706329064912,
            -0.4119999999999999,
            -0.08041489649906174,
            -0.3783223433200785,
            -0.4119999999999999,
            -0.04036674498013666,
            -0.3840639235716774,
            -0.4119999999999999,
            -7.090327783586645e-17,
            -0.3859794670878824,
            -0.4119999999999999,
            0.040366744980136184,
            -0.38406392357167746,
            -0.4119999999999999,
            0.0804148964990616,
            -0.3783223433200785,
            -0.4119999999999999,
            0.11982084202359367,
            -0.36877063290649126,
            -0.4119999999999999,
            0.15825112916109474,
            -0.3554378556076851,
            -0.4119999999999999,
            0.19535810674183837,
            -0.338370166547328,
            -0.4119999999999999,
            0.23077642251585168,
            -0.3176364956218351,
            -0.4119999999999999,
            0.26412096511084143,
            -0.29333604928086493,
            -0.4119999999999999,
            0.29498707243464506,
            -0.26560755303573425,
            -0.4119999999999999,
            0.32295405123908155,
            -0.2346398528168153,
            -0.4119999999999999,
            0.3475931565372802,
            -0.20068300249527027,
            -0.4119999999999999,
            0.36848099894626846,
            -0.16405831072202318,
            -0.4119999999999999,
            0.38521869184750873,
            -0.12516514033833018,
            -0.4119999999999999,
            0.39745580887616727,
            -0.08448184015049542,
            -0.4119999999999999,
            0.40491653776430736,
            -0.04255844304814291,
            -0.4119999999999999,
            0.40742381608793227,
            -4.616550955748714e-16,
            -0.4547274972395934,
            0.40652498095428097,
            0,
            -0.45469823500703943,
            0.40402110819551595,
            0.04246432960808083,
            -0.45461245814594337,
            0.39657082886778716,
            0.08429373184276757,
            -0.454475924471943,
            0.3843518260951996,
            0.12488347858141507,
            -0.45429739901474503,
            0.3676407201131667,
            0.1636841944818687,
            -0.4540876336422295,
            0.34678868864998413,
            0.2002185427439856,
            -0.4538582930015541,
            0.3221951076299028,
            0.23408844800838888,
            -0.4536210118446142,
            0.2942834749263356,
            0.2649740309936946,
            -0.45338668707828206,
            0.26348223694196715,
            0.2926266697829394,
            -0.45316502680848564,
            0.23021142399343297,
            0.3168588418704849,
            -0.452964323026779,
            0.19487474944863928,
            0.3375329671572982,
            -0.4527913890885889,
            0.15785617603660618,
            0.35455077636611476,
            -0.4526516003098,
            0.11951978255217295,
            0.36784406712758877,
            -0.45254898542046507,
            0.0802118782216831,
            0.3773672174195496,
            -0.45248633001894856,
            0.040264541666950183,
            0.3830915240015951,
            -0.452465265864966,
            1.0906198840709316e-16,
            0.38500128717629917,
            -0.45248633001894856,
            -0.04026454166695014,
            0.38309152400159513,
            -0.45254898542046507,
            -0.08021187822168314,
            0.3773672174195496,
            -0.4526516003098,
            -0.11951978255217291,
            0.36784406712758877,
            -0.4527913890885889,
            -0.15785617603660607,
            0.3545507763661148,
            -0.452964323026779,
            -0.19487474944863914,
            0.33753296715729825,
            -0.45316502680848564,
            -0.23021142399343292,
            0.3168588418704849,
            -0.45338668707828206,
            -0.26348223694196704,
            0.29262666978293944,
            -0.4536210118446142,
            -0.29428347492633555,
            0.26497403099369465,
            -0.4538582930015541,
            -0.3221951076299027,
            0.23408844800838893,
            -0.4540876336422295,
            -0.34678868864998413,
            0.2002185427439856,
            -0.45429739901474503,
            -0.36764072011316673,
            0.16368419448186863,
            -0.454475924471943,
            -0.3843518260951996,
            0.12488347858141512,
            -0.45461245814594337,
            -0.39657082886778716,
            0.08429373184276757,
            -0.45469823500703943,
            -0.404021108195516,
            0.04246432960808076,
            -0.4547274972395934,
            -0.40652498095428097,
            2.3031830924620827e-16,
            -0.45469823500703943,
            -0.404021108195516,
            -0.042464329608080664,
            -0.45461245814594337,
            -0.39657082886778716,
            -0.08429373184276748,
            -0.454475924471943,
            -0.38435182609519963,
            -0.12488347858141503,
            -0.45429739901474503,
            -0.3676407201131667,
            -0.16368419448186872,
            -0.4540876336422295,
            -0.3467886886499842,
            -0.2002185427439855,
            -0.4538582930015541,
            -0.3221951076299028,
            -0.23408844800838882,
            -0.4536210118446142,
            -0.2942834749263356,
            -0.2649740309936946,
            -0.45338668707828206,
            -0.26348223694196726,
            -0.2926266697829393,
            -0.45316502680848564,
            -0.230211423993433,
            -0.31685884187048485,
            -0.452964323026779,
            -0.1948747494486394,
            -0.33753296715729814,
            -0.4527913890885891,
            -0.15785617603660718,
            -0.3545507763661164,
            -0.4526516003098,
            -0.11951978255217299,
            -0.36784406712758877,
            -0.45254898542046507,
            -0.08021187822168331,
            -0.3773672174195496,
            -0.45248633001894856,
            -0.04026454166695049,
            -0.3830915240015951,
            -0.452465265864966,
            -7.072358910120985e-17,
            -0.38500128717629917,
            -0.45248633001894856,
            0.04026454166695,
            -0.38309152400159513,
            -0.45254898542046507,
            0.08021187822168317,
            -0.3773672174195496,
            -0.4526516003098,
            0.11951978255217287,
            -0.36784406712758877,
            -0.4527913890885889,
            0.15785617603660593,
            -0.3545507763661149,
            -0.452964323026779,
            0.19487474944863928,
            -0.3375329671572982,
            -0.45316502680848564,
            0.2302114239934329,
            -0.3168588418704849,
            -0.45338668707828206,
            0.26348223694196726,
            -0.2926266697829393,
            -0.4536210118446142,
            0.2942834749263356,
            -0.26497403099369454,
            -0.4538582930015541,
            0.3221951076299027,
            -0.23408844800838896,
            -0.4540876336422295,
            0.3467886886499842,
            -0.20021854274398548,
            -0.45429739901474503,
            0.36764072011316673,
            -0.1636841944818687,
            -0.454475924471943,
            0.3843518260951996,
            -0.12488347858141517,
            -0.45461245814594337,
            0.39657082886778716,
            -0.08429373184276744,
            -0.45469823500703943,
            0.40402110819551595,
            -0.04246432960808081,
            -0.4547274972395934,
            0.40652498095428097,
            -4.606366184924165e-16,
            -0.4973528641997843,
            0.40155365484453087,
            0,
            -0.49729497871389056,
            0.39908306395934046,
            0.04194532024492952,
            -0.49712529193736976,
            0.39173149685948405,
            0.083265100070303,
            -0.4968551775408657,
            0.37967338626274133,
            0.12336336133220879,
            -0.49650195323742835,
            0.3631803927174059,
            0.16169832877940846,
            -0.4960868689903408,
            0.34259758484134084,
            0.19779880783186374,
            -0.495632988081366,
            0.3183176662088668,
            0.23127132191615676,
            -0.4951633256754867,
            0.29075740903813063,
            0.2617991470074941,
            -0.4946994489362207,
            0.26033885746676133,
            0.28913559319891863,
            -0.49426058322915506,
            0.22747619404070424,
            0.3130941208152178,
            -0.4938631593174577,
            0.1925679420909716,
            0.3335374596105441,
            -0.493520686004494,
            0.15599353840780825,
            0.35036722375537693,
            -0.49324382687652574,
            0.11811314125356091,
            0.3635148703601397,
            -0.4930405781529664,
            0.07926964708240453,
            0.37293436843161143,
            -0.4929164709528808,
            0.03979211131047962,
            0.3785966494108958,
            -0.4928747462638824,
            1.0778284546838765e-16,
            0.380485766369491,
            -0.4929164709528808,
            -0.03979211131047958,
            0.3785966494108959,
            -0.4930405781529664,
            -0.07926964708240457,
            0.37293436843161143,
            -0.49324382687652574,
            -0.11811314125356087,
            0.3635148703601397,
            -0.493520686004494,
            -0.15599353840780816,
            0.350367223755377,
            -0.4938631593174577,
            -0.19256794209097147,
            0.33353745961054415,
            -0.49426058322915506,
            -0.22747619404070418,
            0.3130941208152178,
            -0.4946994489362207,
            -0.2603388574667612,
            0.28913559319891874,
            -0.4951633256754867,
            -0.2907574090381306,
            0.2617991470074942,
            -0.495632988081366,
            -0.31831766620886676,
            0.2312713219161568,
            -0.4960868689903408,
            -0.34259758484134084,
            0.19779880783186374,
            -0.49650195323742835,
            -0.36318039271740593,
            0.1616983287794084,
            -0.4968551775408657,
            -0.37967338626274133,
            0.12336336133220883,
            -0.49712529193736976,
            -0.39173149685948405,
            0.083265100070303,
            -0.49729497871389056,
            -0.3990830639593405,
            0.04194532024492945,
            -0.4973528641997843,
            -0.40155365484453087,
            2.275017851014401e-16,
            -0.49729497871389056,
            -0.3990830639593405,
            -0.04194532024492936,
            -0.49712529193736976,
            -0.39173149685948405,
            -0.08326510007030288,
            -0.4968551775408657,
            -0.37967338626274133,
            -0.12336336133220875,
            -0.49650195323742835,
            -0.3631803927174059,
            -0.16169832877940848,
            -0.4960868689903408,
            -0.3425975848413409,
            -0.19779880783186365,
            -0.495632988081366,
            -0.3183176662088668,
            -0.2312713219161567,
            -0.4951633256754867,
            -0.29075740903813063,
            -0.2617991470074941,
            -0.4946994489362207,
            -0.26033885746676144,
            -0.2891355931989186,
            -0.49426058322915506,
            -0.22747619404070427,
            -0.31309412081521776,
            -0.4938631593174577,
            -0.19256794209097172,
            -0.33353745961054404,
            -0.4935206860044944,
            -0.15599353840780922,
            -0.35036722375537854,
            -0.49324382687652574,
            -0.11811314125356095,
            -0.3635148703601397,
            -0.4930405781529664,
            -0.07926964708240473,
            -0.37293436843161143,
            -0.4929164709528808,
            -0.03979211131047992,
            -0.3785966494108958,
            -0.4928747462638824,
            -6.989410138582872e-17,
            -0.380485766369491,
            -0.4929164709528808,
            0.03979211131047944,
            -0.3785966494108959,
            -0.4930405781529664,
            0.0792696470824046,
            -0.37293436843161143,
            -0.49324382687652574,
            0.11811314125356083,
            -0.3635148703601397,
            -0.493520686004494,
            0.15599353840780802,
            -0.350367223755377,
            -0.4938631593174577,
            0.1925679420909716,
            -0.3335374596105441,
            -0.49426058322915506,
            0.22747619404070415,
            -0.3130941208152178,
            -0.4946994489362207,
            0.26033885746676144,
            -0.2891355931989186,
            -0.4951633256754867,
            0.29075740903813063,
            -0.26179914700749407,
            -0.495632988081366,
            0.31831766620886676,
            -0.23127132191615685,
            -0.4960868689903408,
            0.3425975848413409,
            -0.19779880783186363,
            -0.49650195323742835,
            0.36318039271740593,
            -0.16169832877940846,
            -0.4968551775408657,
            0.37967338626274133,
            -0.12336336133220889,
            -0.49712529193736976,
            0.39173149685948405,
            -0.08326510007030286,
            -0.49729497871389056,
            0.39908306395934046,
            -0.0419453202449295,
            -0.4973528641997843,
            0.40155365484453087,
            -4.550035702028802e-16,
            -0.5395109852876503,
            0.39243846022879747,
            0,
            -0.5394269716690812,
            0.3900314904102738,
            0.040993961529103846,
            -0.5391806453848592,
            0.38286827356198355,
            0.08138116380087265,
            -0.5387883902251942,
            0.371116082257471,
            0.12058292471424376,
            -0.5382751840736802,
            0.35503578933794094,
            0.15807211772440982,
            -0.5376717315576786,
            0.33495941713707006,
            0.1933889096516875,
            -0.5370114313531589,
            0.31126574851697186,
            0.22614780380900162,
            -0.5363276964122877,
            0.2843579054256141,
            0.25603700807328567,
            -0.5356519220541096,
            0.2546453371118386,
            0.2828122982393067,
            -0.5350121721371501,
            0.222531109911081,
            0.30628779642399545,
            -0.5344324967097691,
            0.18840423976945994,
            0.3263257156420934,
            -0.5339327202798759,
            0.15263619258152744,
            0.3428265015668364,
            -0.5335285290092985,
            0.11558049943005794,
            0.355720200314383,
            -0.5332317094276453,
            0.07757452065867199,
            0.3649594256191468,
            -0.5330504277933494,
            0.03894259209839002,
            0.37051401401621137,
            -0.5329894746262744,
            1.0548307514878962e-16,
            0.3723673142287679,
            -0.5330504277933494,
            -0.038942592098389975,
            0.37051401401621137,
            -0.5332317094276453,
            -0.07757452065867204,
            0.3649594256191468,
            -0.5335285290092985,
            -0.1155804994300579,
            0.35572020031438306,
            -0.5339327202798759,
            -0.15263619258152733,
            0.3428265015668364,
            -0.5344324967097691,
            -0.1884042397694598,
            0.32632571564209345,
            -0.5350121721371501,
            -0.22253110991108094,
            0.30628779642399545,
            -0.5356519220541096,
            -0.2546453371118385,
            0.2828122982393068,
            -0.5363276964122877,
            -0.28435790542561407,
            0.2560370080732857,
            -0.5370114313531589,
            -0.3112657485169718,
            0.22614780380900168,
            -0.5376717315576786,
            -0.33495941713707006,
            0.1933889096516875,
            -0.5382751840736802,
            -0.35503578933794094,
            0.1580721177244098,
            -0.5387883902251942,
            -0.371116082257471,
            0.1205829247142438,
            -0.5391806453848592,
            -0.38286827356198355,
            0.08138116380087265,
            -0.5394269716690812,
            -0.39003149041027385,
            0.04099396152910378,
            -0.5395109852876503,
            -0.39243846022879747,
            2.2233753613593316e-16,
            -0.5394269716690812,
            -0.39003149041027385,
            -0.04099396152910369,
            -0.5391806453848592,
            -0.38286827356198355,
            -0.08138116380087256,
            -0.5387883902251942,
            -0.37111608225747106,
            -0.12058292471424371,
            -0.5382751840736802,
            -0.35503578933794094,
            -0.15807211772440985,
            -0.5376717315576786,
            -0.3349594171370701,
            -0.19338890965168742,
            -0.5370114313531589,
            -0.31126574851697186,
            -0.2261478038090016,
            -0.5363276964122877,
            -0.2843579054256141,
            -0.25603700807328567,
            -0.5356519220541096,
            -0.25464533711183873,
            -0.2828122982393066,
            -0.5350121721371501,
            -0.22253110991108105,
            -0.3062877964239954,
            -0.5344324967097691,
            -0.18840423976946008,
            -0.32632571564209334,
            -0.5339327202798759,
            -0.15263619258152764,
            -0.34282650156683625,
            -0.5335285290092985,
            -0.11558049943005798,
            -0.355720200314383,
            -0.5332317094276453,
            -0.0775745206586722,
            -0.3649594256191468,
            -0.5330504277933494,
            -0.03894259209839031,
            -0.37051401401621137,
            -0.5329894746262744,
            -6.840276592160358e-17,
            -0.3723673142287679,
            -0.5330504277933494,
            0.03894259209838984,
            -0.37051401401621137,
            -0.5332317094276453,
            0.07757452065867207,
            -0.3649594256191468,
            -0.5335285290092985,
            0.11558049943005785,
            -0.35572020031438306,
            -0.5339327202798759,
            0.15263619258152722,
            -0.3428265015668365,
            -0.5344324967097691,
            0.18840423976945994,
            -0.3263257156420934,
            -0.5350121721371501,
            0.2225311099110809,
            -0.3062877964239955,
            -0.5356519220541096,
            0.25464533711183873,
            -0.2828122982393066,
            -0.5363276964122877,
            0.2843579054256141,
            -0.2560370080732856,
            -0.5370114313531589,
            0.3112657485169718,
            -0.22614780380900174,
            -0.5376717315576786,
            0.3349594171370701,
            -0.1933889096516874,
            -0.5382751840736802,
            0.35503578933794094,
            -0.15807211772440982,
            -0.5387883902251942,
            0.371116082257471,
            -0.12058292471424385,
            -0.5391806453848592,
            0.38286827356198355,
            -0.08138116380087251,
            -0.5394269716690812,
            0.3900314904102738,
            -0.04099396152910383,
            -0.5395109852876503,
            0.39243846022879747,
            -4.446750722718663e-16,
            -0.5808045439577754,
            0.3791412133312942,
            0,
            -0.5806987684283033,
            0.37682796383019324,
            0.03960621496509445,
            -0.5803885272255103,
            0.36994209791894134,
            0.0786336203506448,
            -0.5798941594277409,
            0.35864004193933946,
            0.11652921348388695,
            -0.5792467469483056,
            0.3431663570244737,
            0.15278750598012616,
            -0.5784846268034753,
            0.32383339373442904,
            0.18696529704516265,
            -0.5776496727062538,
            0.30099902534163564,
            0.2186885927988616,
            -0.5767839727955122,
            0.27504597243039486,
            0.2476525059441597,
            -0.5759272716492884,
            0.24636497668929191,
            0.27361602632673,
            -0.575115277730136,
            0.21534271675897027,
            0.2963938220521915,
            -0.5743787455284974,
            0.18235431687872009,
            0.31584694181345796,
            -0.5737431459336193,
            0.1477597162724823,
            0.3318737564496483,
            -0.57322871914179,
            0.11190297444916958,
            0.34440194222315224,
            -0.5728507294857232,
            0.07511363988928849,
            0.3533818918556687,
            -0.5726197836816804,
            0.03770947315983075,
            0.3587816710193544,
            -0.5725421165114047,
            1.0214499153123852e-16,
            0.3605834974450304,
            -0.5726197836816804,
            -0.037709473159830705,
            0.35878167101935443,
            -0.5728507294857232,
            -0.07511363988928854,
            0.3533818918556687,
            -0.57322871914179,
            -0.11190297444916954,
            0.34440194222315224,
            -0.5737431459336193,
            -0.14775971627248222,
            0.33187375644964834,
            -0.5743787455284974,
            -0.18235431687871997,
            0.315846941813458,
            -0.575115277730136,
            -0.21534271675897027,
            0.2963938220521915,
            -0.5759272716492884,
            -0.24636497668929178,
            0.27361602632673004,
            -0.5767839727955122,
            -0.2750459724303948,
            0.24765250594415977,
            -0.5776496727062538,
            -0.3009990253416356,
            0.21868859279886166,
            -0.5784846268034753,
            -0.32383339373442904,
            0.18696529704516265,
            -0.5792467469483056,
            -0.34316635702447373,
            0.1527875059801261,
            -0.5798941594277409,
            -0.35864004193933946,
            0.11652921348388699,
            -0.5803885272255103,
            -0.36994209791894134,
            0.0786336203506448,
            -0.5806987684283033,
            -0.3768279638301933,
            0.03960621496509439,
            -0.5808045439577754,
            -0.3791412133312942,
            2.148039291829898e-16,
            -0.5806987684283033,
            -0.3768279638301933,
            -0.0396062149650943,
            -0.5803885272255103,
            -0.36994209791894134,
            -0.07863362035064471,
            -0.5798941594277409,
            -0.35864004193933946,
            -0.1165292134838869,
            -0.5792467469483056,
            -0.3431663570244737,
            -0.1527875059801262,
            -0.5784846268034753,
            -0.3238333937344291,
            -0.18696529704516254,
            -0.5776496727062538,
            -0.30099902534163564,
            -0.2186885927988616,
            -0.5767839727955122,
            -0.27504597243039486,
            -0.2476525059441597,
            -0.5759272716492884,
            -0.246364976689292,
            -0.2736160263267299,
            -0.575115277730136,
            -0.21534271675897032,
            -0.2963938220521915,
            -0.5743787455284974,
            -0.1823543168787202,
            -0.31584694181345796,
            -0.5737431459336193,
            -0.1477597162724825,
            -0.3318737564496482,
            -0.57322871914179,
            -0.11190297444916962,
            -0.34440194222315224,
            -0.5728507294857232,
            -0.0751136398892887,
            -0.35338189185566865,
            -0.5726197836816804,
            -0.03770947315983104,
            -0.3587816710193544,
            -0.5725421165114047,
            -6.623811389571214e-17,
            -0.3605834974450304,
            -0.5726197836816804,
            0.03770947315983059,
            -0.35878167101935443,
            -0.5728507294857232,
            0.07511363988928856,
            -0.35338189185566865,
            -0.57322871914179,
            0.11190297444916951,
            -0.34440194222315224,
            -0.5737431459336193,
            0.14775971627248208,
            -0.3318737564496484,
            -0.5743787455284974,
            0.18235431687872009,
            -0.31584694181345796,
            -0.575115277730136,
            0.21534271675897024,
            -0.29639382205219156,
            -0.5759272716492884,
            0.246364976689292,
            -0.2736160263267299,
            -0.5767839727955122,
            0.27504597243039486,
            -0.24765250594415966,
            -0.5776496727062538,
            0.3009990253416356,
            -0.21868859279886171,
            -0.5784846268034753,
            0.3238333937344291,
            -0.18696529704516254,
            -0.5792467469483056,
            0.34316635702447373,
            -0.15278750598012616,
            -0.5798941594277409,
            0.35864004193933946,
            -0.11652921348388703,
            -0.5803885272255103,
            0.36994209791894134,
            -0.07863362035064468,
            -0.5806987684283033,
            0.37682796383019324,
            -0.039606214965094436,
            -0.5808045439577754,
            0.3791412133312942,
            -4.296078583659796e-16,
            -0.620806796231661,
            0.3616639800389187,
            0,
            -0.6206853375815138,
            0.3594735268045224,
            0.037782190133044964,
            -0.6203289136411352,
            0.35295112502082854,
            0.07502207757199342,
            -0.619760392923498,
            0.34223916755988726,
            0.11120024636256128,
            -0.6190148460596867,
            0.3275610705921315,
            0.1458395848179913,
            -0.6181357455398873,
            0.30920361830983095,
            0.17851879226558715,
            -0.6171708655425721,
            0.28749742718149024,
            0.20887910753947708,
            -0.6161685578542924,
            0.26279853910445833,
            0.23662486744521835,
            -0.6151748193523099,
            0.2354731561152367,
            0.2615194340879102,
            -0.6142312867564996,
            0.2058863990389157,
            0.28337831730807717,
            -0.6133740843461408,
            0.17439507270758836,
            0.3020611265192114,
            -0.6126333376736695,
            0.14134388534887724,
            0.31746356426007943,
            -0.6120331354822017,
            0.10706436213993431,
            0.3295102247762453,
            -0.6115917417061396,
            0.0718757030279577,
            0.3381485966052617,
            -0.6113219011055997,
            0.03608695298159206,
            0.3433444227092613,
            -0.6112311272199533,
            9.775276475329488e-17,
            0.345078434794178,
            -0.6113219011055997,
            -0.036086952981592015,
            0.34334442270926135,
            -0.6115917417061396,
            -0.07187570302795775,
            0.3381485966052617,
            -0.6120331354822017,
            -0.10706436213993427,
            0.3295102247762453,
            -0.6126333376736695,
            -0.14134388534887715,
            0.3174635642600795,
            -0.6133740843461408,
            -0.17439507270758825,
            0.30206112651921146,
            -0.6142312867564996,
            -0.20588639903891567,
            0.28337831730807717,
            -0.6151748193523099,
            -0.23547315611523656,
            0.26151943408791023,
            -0.6161685578542924,
            -0.2627985391044583,
            0.23662486744521843,
            -0.6171708655425721,
            -0.2874974271814902,
            0.2088791075394771,
            -0.6181357455398873,
            -0.30920361830983095,
            0.17851879226558715,
            -0.6190148460596867,
            -0.3275610705921316,
            0.14583958481799128,
            -0.619760392923498,
            -0.34223916755988726,
            0.11120024636256132,
            -0.6203289136411352,
            -0.35295112502082854,
            0.07502207757199342,
            -0.6206853375815138,
            -0.35947352680452244,
            0.03778219013304491,
            -0.620806796231661,
            -0.3616639800389187,
            2.0490213467886764e-16,
            -0.6206853375815138,
            -0.35947352680452244,
            -0.03778219013304482,
            -0.6203289136411352,
            -0.35295112502082854,
            -0.07502207757199332,
            -0.619760392923498,
            -0.34223916755988726,
            -0.11120024636256125,
            -0.6190148460596867,
            -0.3275610705921315,
            -0.14583958481799134,
            -0.6181357455398873,
            -0.30920361830983095,
            -0.1785187922655871,
            -0.6171708655425721,
            -0.28749742718149024,
            -0.20887910753947703,
            -0.6161685578542924,
            -0.26279853910445833,
            -0.23662486744521835,
            -0.6151748193523099,
            -0.23547315611523678,
            -0.26151943408791006,
            -0.6142312867564996,
            -0.20588639903891576,
            -0.2833783173080771,
            -0.6133740843461408,
            -0.17439507270758847,
            -0.30206112651921135,
            -0.6126333376736695,
            -0.14134388534887743,
            -0.3174635642600794,
            -0.6120331354822017,
            -0.10706436213993435,
            -0.3295102247762453,
            -0.6115917417061396,
            -0.0718757030279579,
            -0.3381485966052617,
            -0.6113219011055997,
            -0.036086952981592334,
            -0.3433444227092613,
            -0.6112311272199533,
            -6.33898800938203e-17,
            -0.345078434794178,
            -0.6113219011055997,
            0.036086952981591904,
            -0.34334442270926135,
            -0.6115917417061396,
            0.07187570302795776,
            -0.3381485966052617,
            -0.6120331354822017,
            0.10706436213993424,
            -0.3295102247762453,
            -0.6126333376736695,
            0.14134388534887704,
            -0.31746356426007954,
            -0.6133740843461408,
            0.17439507270758836,
            -0.3020611265192114,
            -0.6142312867564996,
            0.20588639903891562,
            -0.2833783173080772,
            -0.6151748193523099,
            0.23547315611523678,
            -0.26151943408791006,
            -0.6161685578542924,
            0.26279853910445833,
            -0.2366248674452183,
            -0.6171708655425721,
            0.2874974271814902,
            -0.2088791075394771,
            -0.6181357455398873,
            0.30920361830983095,
            -0.17851879226558706,
            -0.6190148460596867,
            0.3275610705921316,
            -0.1458395848179913,
            -0.619760392923498,
            0.34223916755988726,
            -0.11120024636256137,
            -0.6203289136411352,
            0.35295112502082854,
            -0.07502207757199328,
            -0.6206853375815138,
            0.3594735268045224,
            -0.03778219013304496,
            -0.620806796231661,
            0.3616639800389187,
            -4.098042693577353e-16,
            -0.6590655475795796,
            0.3400565528598439,
            0,
            -0.658935836665252,
            0.3380161337408521,
            0.03552692724429288,
            -0.6585549402637058,
            0.3319380682781326,
            0.0705556144805889,
            -0.6579466014836602,
            0.3219482810508739,
            0.10460733768175628,
            -0.6571474011997255,
            0.30824526601868113,
            0.13723963454207735,
            -0.6562029818870962,
            0.29108548755534924,
            0.16805828459727432,
            -0.6551639083573082,
            0.270766991190147,
            0.1967237342796947,
            -0.6540818255600814,
            0.24761366206737492,
            0.22295234274886302,
            -0.653006343101366,
            0.22196184570018473,
            0.24651360364921143,
            -0.651982814510289,
            0.19415017529675457,
            0.26722479113476205,
            -0.6510509712878023,
            0.16451271747580237,
            0.284944385159314,
            -0.6502442499345938,
            0.13337507814792868,
            0.2995653302425963,
            -0.649589606547416,
            0.10105289543280134,
            0.31100883265742496,
            -0.6491076223640955,
            0.06785211432404144,
            0.3192191000406598,
            -0.6488127386031071,
            0.03407050612212016,
            0.324159212385673,
            -0.6487135014903096,
            9.229394691964314e-17,
            0.3258081837826884,
            -0.6488127386031071,
            -0.03407050612212012,
            0.3241592123856731,
            -0.6491076223640955,
            -0.06785211432404147,
            0.3192191000406598,
            -0.649589606547416,
            -0.10105289543280128,
            0.31100883265742496,
            -0.6502442499345938,
            -0.1333750781479286,
            0.29956533024259635,
            -0.6510509712878023,
            -0.16451271747580226,
            0.284944385159314,
            -0.651982814510289,
            -0.19415017529675455,
            0.26722479113476205,
            -0.653006343101366,
            -0.22196184570018462,
            0.24651360364921152,
            -0.6540818255600814,
            -0.24761366206737487,
            0.22295234274886308,
            -0.6551639083573082,
            -0.27076699119014697,
            0.19672373427969472,
            -0.6562029818870962,
            -0.29108548755534924,
            0.16805828459727432,
            -0.6571474011997255,
            -0.3082452660186812,
            0.13723963454207733,
            -0.6579466014836602,
            -0.3219482810508739,
            0.10460733768175633,
            -0.6585549402637058,
            -0.3319380682781326,
            0.0705556144805889,
            -0.658935836665252,
            -0.33801613374085215,
            0.03552692724429282,
            -0.6590655475795796,
            -0.3400565528598439,
            1.926603627627532e-16,
            -0.658935836665252,
            -0.33801613374085215,
            -0.03552692724429274,
            -0.6585549402637058,
            -0.3319380682781326,
            -0.07055561448058882,
            -0.6579466014836602,
            -0.3219482810508739,
            -0.10460733768175626,
            -0.6571474011997255,
            -0.30824526601868113,
            -0.13723963454207738,
            -0.6562029818870962,
            -0.2910854875553493,
            -0.16805828459727426,
            -0.6551639083573082,
            -0.270766991190147,
            -0.19672373427969467,
            -0.6540818255600814,
            -0.24761366206737492,
            -0.22295234274886302,
            -0.653006343101366,
            -0.2219618457001848,
            -0.24651360364921138,
            -0.651982814510289,
            -0.1941501752967546,
            -0.267224791134762,
            -0.6510509712878023,
            -0.16451271747580248,
            -0.2849443851593139,
            -0.6502442499345938,
            -0.13337507814792887,
            -0.2995653302425962,
            -0.649589606547416,
            -0.10105289543280135,
            -0.31100883265742496,
            -0.6491076223640955,
            -0.06785211432404162,
            -0.3192191000406598,
            -0.6488127386031071,
            -0.03407050612212041,
            -0.324159212385673,
            -0.6487135014903096,
            -5.984999241082227e-17,
            -0.3258081837826884,
            -0.6488127386031071,
            0.03407050612212001,
            -0.3241592123856731,
            -0.6491076223640955,
            0.06785211432404151,
            -0.3192191000406598,
            -0.649589606547416,
            0.10105289543280126,
            -0.31100883265742496,
            -0.6502442499345938,
            0.13337507814792848,
            -0.29956533024259635,
            -0.6510509712878023,
            0.16451271747580237,
            -0.284944385159314,
            -0.651982814510289,
            0.19415017529675452,
            -0.2672247911347621,
            -0.653006343101366,
            0.2219618457001848,
            -0.24651360364921138,
            -0.6540818255600814,
            0.24761366206737492,
            -0.222952342748863,
            -0.6551639083573082,
            0.27076699119014697,
            -0.19672373427969478,
            -0.6562029818870962,
            0.2910854875553493,
            -0.16805828459727423,
            -0.6571474011997255,
            0.3082452660186812,
            -0.13723963454207735,
            -0.6579466014836602,
            0.3219482810508739,
            -0.10460733768175637,
            -0.6585549402637058,
            0.3319380682781326,
            -0.0705556144805888,
            -0.658935836665252,
            0.3380161337408521,
            -0.03552692724429286,
            -0.6590655475795796,
            0.3400565528598439,
            -3.853207255255064e-16,
            -0.6951087946248963,
            0.31442417036861775,
            0,
            -0.6949790413493924,
            0.31255840567859833,
            0.032851212204708144,
            -0.6945977115302944,
            0.306998036333548,
            0.06525444704250748,
            -0.6939877320910093,
            0.29785102790113027,
            0.09677766550829416,
            -0.6931846263649746,
            0.28528852108274666,
            0.12701863317528786,
            -0.6922330732877557,
            0.2695333966841949,
            0.1556151791312141,
            -0.6911830610342837,
            0.25084720837131386,
            0.18225116491318188,
            -0.690086219986263,
            0.22951733361050997,
            0.20665833541935974,
            -0.6889927418920871,
            0.2058457228319001,
            0.22861483590116954,
            -0.6879490744690815,
            0.18014001312396455,
            0.24794145721726474,
            -0.6869963949788138,
            0.15270721889819136,
            0.2644966618142096,
            -0.6861697462524312,
            0.123849823787298,
            0.2781712586678284,
            -0.68549766478513,
            0.09386389018984839,
            0.2888833495725221,
            -0.6850021256479473,
            0.06303873677574424,
            0.2965739390986533,
            -0.6846986522779104,
            0.03165775546910052,
            0.3012034233356807,
            -0.68459647418412,
            8.576182757243147e-17,
            0.30274905572719685,
            -0.6846986522779104,
            -0.031657755469100476,
            0.3012034233356807,
            -0.6850021256479473,
            -0.06303873677574427,
            0.2965739390986533,
            -0.68549766478513,
            -0.09386389018984835,
            0.28888334957252215,
            -0.6861697462524312,
            -0.12384982378729793,
            0.2781712586678284,
            -0.6869963949788138,
            -0.15270721889819125,
            0.2644966618142096,
            -0.6879490744690815,
            -0.1801400131239645,
            0.24794145721726474,
            -0.6889927418920871,
            -0.2058457228319,
            0.22861483590116963,
            -0.690086219986263,
            -0.22951733361050997,
            0.20665833541935982,
            -0.6911830610342837,
            -0.2508472083713138,
            0.1822511649131819,
            -0.6922330732877557,
            -0.2695333966841949,
            0.1556151791312141,
            -0.6931846263649746,
            -0.28528852108274666,
            0.12701863317528783,
            -0.6939877320910093,
            -0.29785102790113027,
            0.09677766550829418,
            -0.6945977115302944,
            -0.306998036333548,
            0.06525444704250748,
            -0.6949790413493924,
            -0.31255840567859833,
            0.03285121220470809,
            -0.6951087946248963,
            -0.31442417036861775,
            1.781382367584099e-16,
            -0.6949790413493924,
            -0.31255840567859833,
            -0.03285121220470801,
            -0.6945977115302944,
            -0.306998036333548,
            -0.0652544470425074,
            -0.6939877320910093,
            -0.2978510279011303,
            -0.09677766550829411,
            -0.6931846263649746,
            -0.28528852108274666,
            -0.1270186331752879,
            -0.6922330732877557,
            -0.26953339668419496,
            -0.155615179131214,
            -0.6911830610342837,
            -0.25084720837131386,
            -0.18225116491318183,
            -0.690086219986263,
            -0.22951733361050997,
            -0.20665833541935974,
            -0.6889927418920871,
            -0.20584572283190017,
            -0.2286148359011695,
            -0.6879490744690815,
            -0.18014001312396458,
            -0.24794145721726468,
            -0.6869963949788138,
            -0.15270721889819147,
            -0.26449666181420955,
            -0.6861697462524312,
            -0.12384982378729818,
            -0.2781712586678282,
            -0.68549766478513,
            -0.09386389018984842,
            -0.2888833495725221,
            -0.6850021256479473,
            -0.06303873677574441,
            -0.29657393909865326,
            -0.6846986522779104,
            -0.031657755469100754,
            -0.3012034233356807,
            -0.68459647418412,
            -5.561409930617929e-17,
            -0.30274905572719685,
            -0.6846986522779104,
            0.03165775546910038,
            -0.3012034233356807,
            -0.6850021256479473,
            0.06303873677574431,
            -0.29657393909865326,
            -0.68549766478513,
            0.09386389018984832,
            -0.28888334957252215,
            -0.6861697462524312,
            0.12384982378729782,
            -0.27817125866782844,
            -0.6869963949788138,
            0.15270721889819136,
            -0.2644966618142096,
            -0.6879490744690815,
            0.1801400131239645,
            -0.24794145721726477,
            -0.6889927418920871,
            0.20584572283190017,
            -0.2286148359011695,
            -0.690086219986263,
            0.22951733361050997,
            -0.2066583354193597,
            -0.6911830610342837,
            0.2508472083713138,
            -0.18225116491318194,
            -0.6922330732877557,
            0.26953339668419496,
            -0.155615179131214,
            -0.6931846263649746,
            0.28528852108274666,
            -0.12701863317528786,
            -0.6939877320910093,
            0.29785102790113027,
            -0.09677766550829422,
            -0.6945977115302944,
            0.306998036333548,
            -0.06525444704250738,
            -0.6949790413493924,
            0.31255840567859833,
            -0.03285121220470813,
            -0.6951087946248963,
            0.31442417036861775,
            -3.562764735168198e-16,
            -0.7284525004649074,
            0.2849351112467668,
            0,
            -0.728330926518252,
            0.2832653408852662,
            0.029772387031017058,
            -0.7279733059796112,
            0.27828655540354574,
            0.059151633375571784,
            -0.7274002387570346,
            0.2700883056022993,
            0.08775701021235946,
            -0.7266438502877843,
            0.2588134532679845,
            0.11523117353866698,
            -0.7257449197626749,
            0.2446497470493342,
            0.14124859731610692,
            -0.7247495951497803,
            0.22781999489621302,
            0.16552091502206304,
            -0.7237061622811853,
            0.20857213337300232,
            0.18779919241687976,
            -0.7226622176789209,
            0.1871702284214347,
            0.20787359808828404,
            -0.7216624360610839,
            0.1638870539232661,
            0.22557117801926777,
            -0.7207469760887264,
            0.13899851296750892,
            0.24075248663624685,
            -0.7199504620199226,
            0.11277987190238781,
            0.25330773964896974,
            -0.719301421451034,
            0.0855035940582321,
            0.2631530038023367,
            -0.7188220421868387,
            0.05743847536333084,
            0.2702267806368628,
            -0.7185281209385386,
            0.02884976803539318,
            0.27448720750851185,
            -0.7184291004397179,
            7.815894223826138e-17,
            0.2759100013264711,
            -0.7185281209385386,
            -0.028849768035393145,
            0.2744872075085119,
            -0.7188220421868387,
            -0.057438475363330875,
            0.2702267806368628,
            -0.719301421451034,
            -0.08550359405823207,
            0.26315300380233675,
            -0.7199504620199226,
            -0.11277987190238772,
            0.25330773964896974,
            -0.7207469760887264,
            -0.13899851296750884,
            0.2407524866362469,
            -0.7216624360610839,
            -0.16388705392326608,
            0.22557117801926777,
            -0.7226622176789209,
            -0.1871702284214346,
            0.20787359808828412,
            -0.7237061622811853,
            -0.20857213337300226,
            0.1877991924168798,
            -0.7247495951497803,
            -0.22781999489621302,
            0.16552091502206306,
            -0.7257449197626749,
            -0.2446497470493342,
            0.14124859731610692,
            -0.7266438502877843,
            -0.2588134532679845,
            0.11523117353866696,
            -0.7274002387570346,
            -0.2700883056022993,
            0.08775701021235949,
            -0.7279733059796112,
            -0.27828655540354574,
            0.059151633375571784,
            -0.728330926518252,
            -0.2832653408852663,
            0.02977238703101701,
            -0.7284525004649074,
            -0.2849351112467668,
            1.6143109560742116e-16,
            -0.728330926518252,
            -0.2832653408852663,
            -0.029772387031016947,
            -0.7279733059796112,
            -0.27828655540354574,
            -0.059151633375571715,
            -0.7274002387570346,
            -0.27008830560229935,
            -0.08775701021235943,
            -0.7266438502877843,
            -0.2588134532679845,
            -0.115231173538667,
            -0.7257449197626749,
            -0.2446497470493342,
            -0.14124859731610687,
            -0.7247495951497803,
            -0.22781999489621302,
            -0.16552091502206298,
            -0.7237061622811853,
            -0.20857213337300232,
            -0.18779919241687976,
            -0.7226622176789209,
            -0.18717022842143474,
            -0.20787359808828398,
            -0.7216624360610839,
            -0.16388705392326613,
            -0.22557117801926777,
            -0.7207469760887264,
            -0.138998512967509,
            -0.2407524866362468,
            -0.7199504620199226,
            -0.11277987190238795,
            -0.25330773964896963,
            -0.719301421451034,
            -0.08550359405823214,
            -0.2631530038023367,
            -0.7188220421868387,
            -0.057438475363331,
            -0.2702267806368628,
            -0.7185281209385386,
            -0.028849768035393398,
            -0.27448720750851185,
            -0.7184291004397179,
            -5.068384499658071e-17,
            -0.2759100013264711,
            -0.7185281209385386,
            0.028849768035393047,
            -0.2744872075085119,
            -0.7188220421868387,
            0.057438475363330896,
            -0.2702267806368628,
            -0.719301421451034,
            0.08550359405823205,
            -0.26315300380233675,
            -0.7199504620199226,
            0.11277987190238763,
            -0.2533077396489698,
            -0.7207469760887264,
            0.13899851296750892,
            -0.24075248663624685,
            -0.7216624360610839,
            0.16388705392326605,
            -0.22557117801926782,
            -0.7226622176789209,
            0.18717022842143474,
            -0.20787359808828398,
            -0.7237061622811853,
            0.20857213337300232,
            -0.18779919241687973,
            -0.7247495951497803,
            0.22781999489621302,
            -0.1655209150220631,
            -0.7257449197626749,
            0.2446497470493342,
            -0.14124859731610684,
            -0.7266438502877843,
            0.2588134532679845,
            -0.11523117353866698,
            -0.7274002387570346,
            0.2700883056022993,
            -0.08775701021235952,
            -0.7279733059796112,
            0.27828655540354574,
            -0.059151633375571694,
            -0.728330926518252,
            0.2832653408852662,
            -0.029772387031017047,
            -0.7284525004649074,
            0.2849351112467668,
            -3.2286219121484233e-16,
            -0.7586109071591888,
            0.2518275647216685,
            0,
            -0.7585048421697607,
            0.25037138839413586,
            0.02631509330957131,
            -0.7581925344394655,
            0.24602720503477502,
            0.05229469677947732,
            -0.7576911243021709,
            0.23886669208821776,
            0.07761249303346288,
            -0.7570275312591117,
            0.22900499436631733,
            0.10195959257080418,
            -0.7562362714583173,
            0.2165949374610247,
            0.12505114544823273,
            -0.7553568958734529,
            0.201820119667338,
            0.14663089994545223,
            -0.7544313816543913,
            0.1848877158095926,
            0.16647364705594686,
            -0.753501745309836,
            0.16602170263436328,
            0.18438578067897463,
            -0.7526080474288498,
            0.14545700151472327,
            0.20020438709081317,
            -0.7517868571988018,
            0.12343480110610704,
            0.2137953469379364,
            -0.751070163527874,
            0.10019912208181214,
            0.22505091290866797,
            -0.7504846674436731,
            0.07599454266272324,
            0.23388715286822576,
            -0.750051366564075,
            0.05106491894454014,
            0.24024155520456045,
            -0.7497853403291583,
            0.025652896201122204,
            0.2440710037638187,
            -0.7496956566553102,
            6.950207096924401e-17,
            0.24535025608277952,
            -0.7497853403291583,
            -0.025652896201122172,
            0.2440710037638187,
            -0.750051366564075,
            -0.05106491894454017,
            0.24024155520456045,
            -0.7504846674436731,
            -0.07599454266272321,
            0.23388715286822576,
            -0.751070163527874,
            -0.10019912208181207,
            0.22505091290866797,
            -0.7517868571988018,
            -0.12343480110610697,
            0.21379534693793645,
            -0.7526080474288498,
            -0.1454570015147232,
            0.20020438709081317,
            -0.753501745309836,
            -0.16602170263436317,
            0.18438578067897465,
            -0.7544313816543913,
            -0.1848877158095926,
            0.16647364705594692,
            -0.7553568958734529,
            -0.20182011966733798,
            0.14663089994545225,
            -0.7562362714583173,
            -0.2165949374610247,
            0.12505114544823273,
            -0.7570275312591117,
            -0.22900499436631733,
            0.10195959257080414,
            -0.7576911243021709,
            -0.23886669208821776,
            0.0776124930334629,
            -0.7581925344394655,
            -0.24602720503477502,
            0.05229469677947732,
            -0.7585048421697607,
            -0.25037138839413586,
            0.02631509330957127,
            -0.7586109071591888,
            -0.2518275647216685,
            1.426738863430577e-16,
            -0.7585048421697607,
            -0.25037138839413586,
            -0.02631509330957121,
            -0.7581925344394655,
            -0.24602720503477502,
            -0.052294696779477255,
            -0.7576911243021709,
            -0.23886669208821776,
            -0.07761249303346285,
            -0.7570275312591117,
            -0.22900499436631733,
            -0.1019595925708042,
            -0.7562362714583173,
            -0.2165949374610247,
            -0.12505114544823268,
            -0.7553568958734529,
            -0.201820119667338,
            -0.14663089994545217,
            -0.7544313816543913,
            -0.1848877158095926,
            -0.16647364705594686,
            -0.753501745309836,
            -0.1660217026343633,
            -0.18438578067897454,
            -0.7526080474288498,
            -0.1454570015147233,
            -0.20020438709081317,
            -0.7517868571988018,
            -0.12343480110610713,
            -0.21379534693793634,
            -0.751070163527874,
            -0.10019912208181228,
            -0.22505091290866788,
            -0.7504846674436731,
            -0.07599454266272326,
            -0.23388715286822576,
            -0.750051366564075,
            -0.05106491894454028,
            -0.2402415552045604,
            -0.7497853403291583,
            -0.025652896201122394,
            -0.2440710037638187,
            -0.7496956566553102,
            -4.50701108672639e-17,
            -0.24535025608277952,
            -0.7497853403291583,
            0.02565289620112209,
            -0.2440710037638187,
            -0.750051366564075,
            0.05106491894454019,
            -0.2402415552045604,
            -0.7504846674436731,
            0.07599454266272318,
            -0.23388715286822576,
            -0.751070163527874,
            0.10019912208181199,
            -0.22505091290866802,
            -0.7517868571988018,
            0.12343480110610704,
            -0.2137953469379364,
            -0.7526080474288498,
            0.14545700151472318,
            -0.20020438709081323,
            -0.753501745309836,
            0.1660217026343633,
            -0.18438578067897454,
            -0.7544313816543913,
            0.1848877158095926,
            -0.16647364705594683,
            -0.7553568958734529,
            0.20182011966733798,
            -0.14663089994545228,
            -0.7562362714583173,
            0.2165949374610247,
            -0.12505114544823268,
            -0.7570275312591117,
            0.22900499436631733,
            -0.10195959257080418,
            -0.7576911243021709,
            0.23886669208821776,
            -0.07761249303346293,
            -0.7581925344394655,
            0.24602720503477502,
            -0.052294696779477234,
            -0.7585048421697607,
            0.25037138839413586,
            -0.0263150933095713,
            -0.7586109071591888,
            0.2518275647216685,
            -2.853477726861154e-16,
            -0.7851096090597387,
            0.21541493322787614,
            0,
            -0.7850245533390048,
            0.21418602975412884,
            0.022511858861899135,
            -0.7847738564823312,
            0.21051798927669757,
            0.04474697997034142,
            -0.7843705822512876,
            0.20446598170165076,
            0.06643502466446334,
            -0.7838353972807021,
            0.19611926895684265,
            0.08731792428132625,
            -0.7831950767875204,
            0.18559753839376014,
            0.1071547887525693,
            -0.7824807012144315,
            0.1730464153018232,
            0.12572558003565218,
            -0.7817257505712726,
            0.15863263201178393,
            0.14283346342102124,
            -0.7809642771340667,
            0.1425392889195937,
            0.15830591812895486,
            -0.7802292866964649,
            0.12496154456701868,
            0.17199481069619732,
            -0.779551400249368,
            0.1061029499374982,
            0.1837757001246839,
            -0.778957815342789,
            0.08617252410306102,
            0.19354665803562238,
            -0.7784715473515225,
            0.06538257168417405,
            0.20122686449056335,
            -0.778110907758158,
            0.043947173793166205,
            0.2067551970538123,
            -0.7778891678664743,
            0.022081241656556973,
            0.21008898072224474,
            -0.7778143587245336,
            5.982894582581636e-17,
            0.2112030184830398,
            -0.7778891678664743,
            -0.02208124165655695,
            0.21008898072224474,
            -0.778110907758158,
            -0.043947173793166226,
            0.2067551970538123,
            -0.7784715473515225,
            -0.06538257168417404,
            0.20122686449056337,
            -0.778957815342789,
            -0.08617252410306096,
            0.1935466580356224,
            -0.779551400249368,
            -0.10610294993749815,
            0.18377570012468392,
            -0.7802292866964649,
            -0.12496154456701866,
            0.17199481069619732,
            -0.7809642771340667,
            -0.14253928891959364,
            0.15830591812895492,
            -0.7817257505712726,
            -0.1586326320117839,
            0.1428334634210213,
            -0.7824807012144315,
            -0.17304641530182316,
            0.1257255800356522,
            -0.7831950767875204,
            -0.18559753839376014,
            0.1071547887525693,
            -0.7838353972807021,
            -0.19611926895684267,
            0.08731792428132623,
            -0.7843705822512876,
            -0.20446598170165076,
            0.06643502466446337,
            -0.7847738564823312,
            -0.21051798927669757,
            0.04474697997034142,
            -0.7850245533390048,
            -0.21418602975412887,
            0.022511858861899096,
            -0.7851096090597387,
            -0.21541493322787614,
            1.2204416833367745e-16,
            -0.7850245533390048,
            -0.21418602975412887,
            -0.022511858861899048,
            -0.7847738564823312,
            -0.21051798927669757,
            -0.04474697997034136,
            -0.7843705822512876,
            -0.20446598170165078,
            -0.06643502466446331,
            -0.7838353972807021,
            -0.19611926895684265,
            -0.08731792428132626,
            -0.7831950767875204,
            -0.18559753839376017,
            -0.10715478875256926,
            -0.7824807012144315,
            -0.1730464153018232,
            -0.12572558003565215,
            -0.7817257505712726,
            -0.15863263201178393,
            -0.14283346342102124,
            -0.7809642771340667,
            -0.14253928891959375,
            -0.1583059181289548,
            -0.7802292866964649,
            -0.1249615445670187,
            -0.1719948106961973,
            -0.779551400249368,
            -0.10610294993749828,
            -0.18377570012468386,
            -0.778957815342789,
            -0.08617252410306113,
            -0.19354665803562232,
            -0.7784715473515225,
            -0.06538257168417408,
            -0.20122686449056335,
            -0.778110907758158,
            -0.043947173793166316,
            -0.20675519705381226,
            -0.7778891678664743,
            -0.02208124165655714,
            -0.21008898072224474,
            -0.7778143587245336,
            -3.879736508332709e-17,
            -0.2112030184830398,
            -0.7778891678664743,
            0.022081241656556876,
            -0.21008898072224474,
            -0.778110907758158,
            0.04394717379316625,
            -0.20675519705381226,
            -0.7784715473515225,
            0.06538257168417401,
            -0.20122686449056337,
            -0.778957815342789,
            0.0861725241030609,
            -0.19354665803562243,
            -0.779551400249368,
            0.1061029499374982,
            -0.1837757001246839,
            -0.7802292866964649,
            0.12496154456701863,
            -0.17199481069619735,
            -0.7809642771340667,
            0.14253928891959375,
            -0.1583059181289548,
            -0.7817257505712726,
            0.15863263201178393,
            -0.1428334634210212,
            -0.7824807012144315,
            0.17304641530182316,
            -0.12572558003565223,
            -0.7831950767875204,
            0.18559753839376017,
            -0.10715478875256924,
            -0.7838353972807021,
            0.19611926895684267,
            -0.08731792428132625,
            -0.7843705822512876,
            0.20446598170165076,
            -0.0664350246644634,
            -0.7847738564823312,
            0.21051798927669757,
            -0.04474697997034134,
            -0.7850245533390048,
            0.21418602975412884,
            -0.022511858861899124,
            -0.7851096090597387,
            0.21541493322787614,
            -2.440883366673549e-16,
            -0.8075012813542648,
            0.1760885155352007,
            0,
            -0.8074400800755579,
            0.1750967849282849,
            0.018403413677366007,
            -0.8072595210794029,
            0.1721352725400651,
            0.03658848167324841,
            -0.8069685345539318,
            0.1672445450953616,
            0.0543410467889955,
            -0.8065813473521445,
            0.16049069264233742,
            0.07145506008940425,
            -0.8061165777978374,
            0.15196321466821575,
            0.08773600289561523,
            -0.8055961116619234,
            0.14177236408328495,
            0.10300365180236627,
            -0.8050438686550956,
            0.13004618649627994,
            0.11709411226676161,
            -0.8044845627183761,
            0.11692748600092062,
            0.12986112928013768,
            -0.803942540028218,
            0.10257091399896348,
            0.14117675159437695,
            -0.8034407523532681,
            0.08714032577321487,
            0.1509314716273118,
            -0.8029998964444238,
            0.07080649220464301,
            0.15903398532279037,
            -0.802637727164503,
            0.053745200319228324,
            0.16541071822467512,
            -0.8023685356155714,
            0.03613573171413591,
            0.17000525145035933,
            -0.802202774248036,
            0.018159674333391697,
            0.17277775997788017,
            -0.8021468081682986,
            4.9206494371604686e-17,
            0.17370455047809316,
            -0.802202774248036,
            -0.018159674333391676,
            0.1727777599778802,
            -0.8023685356155714,
            -0.03613573171413592,
            0.17000525145035933,
            -0.802637727164503,
            -0.053745200319228296,
            0.16541071822467515,
            -0.8029998964444238,
            -0.07080649220464297,
            0.1590339853227904,
            -0.8034407523532681,
            -0.0871403257732148,
            0.15093147162731183,
            -0.803942540028218,
            -0.10257091399896345,
            0.14117675159437695,
            -0.8044845627183761,
            -0.11692748600092058,
            0.12986112928013774,
            -0.8050438686550956,
            -0.13004618649627994,
            0.11709411226676165,
            -0.8055961116619234,
            -0.14177236408328492,
            0.10300365180236629,
            -0.8061165777978374,
            -0.15196321466821575,
            0.08773600289561523,
            -0.8065813473521445,
            -0.16049069264233745,
            0.07145506008940423,
            -0.8069685345539318,
            -0.1672445450953616,
            0.054341046788995505,
            -0.8072595210794029,
            -0.1721352725400651,
            0.03658848167324841,
            -0.8074400800755579,
            -0.17509678492828493,
            0.018403413677365976,
            -0.8075012813542648,
            -0.1760885155352007,
            9.976363341937699e-17,
            -0.8074400800755579,
            -0.17509678492828493,
            -0.018403413677365935,
            -0.8072595210794029,
            -0.1721352725400651,
            -0.036588481673248366,
            -0.8069685345539318,
            -0.16724454509536163,
            -0.05434104678899547,
            -0.8065813473521445,
            -0.16049069264233742,
            -0.07145506008940426,
            -0.8061165777978374,
            -0.15196321466821577,
            -0.08773600289561519,
            -0.8055961116619234,
            -0.14177236408328495,
            -0.10300365180236624,
            -0.8050438686550956,
            -0.13004618649627994,
            -0.11709411226676161,
            -0.8044845627183761,
            -0.11692748600092068,
            -0.12986112928013765,
            -0.803942540028218,
            -0.1025709139989635,
            -0.14117675159437693,
            -0.8034407523532681,
            -0.08714032577321493,
            -0.15093147162731177,
            -0.8029998964444238,
            -0.07080649220464312,
            -0.1590339853227903,
            -0.802637727164503,
            -0.05374520031922833,
            -0.16541071822467512,
            -0.8023685356155714,
            -0.036135731714136,
            -0.1700052514503593,
            -0.802202774248036,
            -0.018159674333391832,
            -0.17277775997788017,
            -0.8021468081682986,
            -3.1909008261048995e-17,
            -0.17370455047809316,
            -0.802202774248036,
            0.018159674333391614,
            -0.1727777599778802,
            -0.8023685356155714,
            0.036135731714135935,
            -0.1700052514503593,
            -0.802637727164503,
            0.053745200319228276,
            -0.16541071822467515,
            -0.8029998964444238,
            0.07080649220464291,
            -0.15903398532279042,
            -0.8034407523532681,
            0.08714032577321487,
            -0.1509314716273118,
            -0.803942540028218,
            0.10257091399896344,
            -0.14117675159437695,
            -0.8044845627183761,
            0.11692748600092068,
            -0.12986112928013765,
            -0.8050438686550956,
            0.13004618649627994,
            -0.11709411226676159,
            -0.8055961116619234,
            0.14177236408328492,
            -0.1030036518023663,
            -0.8061165777978374,
            0.15196321466821577,
            -0.08773600289561517,
            -0.8065813473521445,
            0.16049069264233745,
            -0.07145506008940425,
            -0.8069685345539318,
            0.1672445450953616,
            -0.05434104678899553,
            -0.8072595210794029,
            0.1721352725400651,
            -0.036588481673248345,
            -0.8074400800755579,
            0.1750967849282849,
            -0.018403413677366,
            -0.8075012813542648,
            0.1760885155352007,
            -1.9952726683875397e-16,
            -0.8253834745638392,
            0.134316432982986,
            0,
            -0.8253457704940335,
            0.1335684498255732,
            0.014038609774538748,
            -0.8252344412024074,
            0.13133393096474594,
            0.027915888796474445,
            -0.8250547325879687,
            0.12764093197668175,
            0.04147305284474849,
            -0.8248150544133113,
            0.12253544370318697,
            0.054556294503668085,
            -0.824526511721555,
            0.11608030343930135,
            0.06701899443829407,
            -0.8242023067061159,
            0.10835378856133927,
            0.0787236354603138,
            -0.8238570581642144,
            0.09944798999444676,
            0.08954337238829099,
            -0.8235060866130586,
            0.08946706636007112,
            0.09936324356454886,
            -0.8231647086976202,
            0.0785254718740207,
            0.10808103978386974,
            -0.8228475763641466,
            0.06674623485513217,
            0.1156078699830136,
            -0.8225680864100406,
            0.054259342522832606,
            0.12186847863414674,
            -0.8223378762789307,
            0.041200264963659826,
            0.12680137720591422,
            -0.8221664137089504,
            0.027708629415860702,
            0.1303588522422387,
            -0.8220606818356002,
            0.01392703713719112,
            0.13250690709072907,
            -0.8220249578222132,
            3.773962331553294e-17,
            0.13322518474350378,
            -0.8220606818356002,
            -0.013927037137191102,
            0.13250690709072907,
            -0.8221664137089504,
            -0.027708629415860712,
            0.1303588522422387,
            -0.8223378762789307,
            -0.04120026496365981,
            0.12680137720591425,
            -0.8225680864100406,
            -0.05425934252283257,
            0.12186847863414675,
            -0.8228475763641466,
            -0.06674623485513215,
            0.11560786998301362,
            -0.8231647086976202,
            -0.07852547187402069,
            0.10808103978386974,
            -0.8235060866130586,
            -0.08946706636007107,
            0.0993632435645489,
            -0.8238570581642144,
            -0.09944798999444675,
            0.08954337238829102,
            -0.8242023067061159,
            -0.10835378856133927,
            0.07872363546031381,
            -0.824526511721555,
            -0.11608030343930135,
            0.06701899443829407,
            -0.8248150544133113,
            -0.122535443703187,
            0.054556294503668064,
            -0.8250547325879687,
            -0.12764093197668175,
            0.04147305284474851,
            -0.8252344412024074,
            -0.13133393096474594,
            0.027915888796474445,
            -0.8253457704940335,
            -0.13356844982557323,
            0.014038609774538724,
            -0.8253834745638392,
            -0.134316432982986,
            7.609749756584353e-17,
            -0.8253457704940335,
            -0.13356844982557323,
            -0.014038609774538694,
            -0.8252344412024074,
            -0.13133393096474594,
            -0.027915888796474407,
            -0.8250547325879687,
            -0.12764093197668178,
            -0.04147305284474848,
            -0.8248150544133113,
            -0.12253544370318697,
            -0.054556294503668085,
            -0.824526511721555,
            -0.11608030343930138,
            -0.06701899443829404,
            -0.8242023067061159,
            -0.10835378856133927,
            -0.07872363546031377,
            -0.8238570581642144,
            -0.09944798999444676,
            -0.08954337238829099,
            -0.8235060866130586,
            -0.08946706636007114,
            -0.09936324356454883,
            -0.8231647086976202,
            -0.07852547187402072,
            -0.10808103978386974,
            -0.8228475763641466,
            -0.06674623485513223,
            -0.1156078699830136,
            -0.8225680864100406,
            -0.05425934252283268,
            -0.12186847863414671,
            -0.8223378762789307,
            -0.04120026496365985,
            -0.12680137720591422,
            -0.8221664137089504,
            -0.027708629415860775,
            -0.1303588522422387,
            -0.8220606818356002,
            -0.013927037137191222,
            -0.13250690709072907,
            -0.8220249578222132,
            -2.4473069409292004e-17,
            -0.13322518474350378,
            -0.8220606818356002,
            0.013927037137191057,
            -0.13250690709072907,
            -0.8221664137089504,
            0.027708629415860726,
            -0.1303588522422387,
            -0.8223378762789307,
            0.0412002649636598,
            -0.12680137720591425,
            -0.8225680864100406,
            0.05425934252283252,
            -0.12186847863414678,
            -0.8228475763641466,
            0.06674623485513217,
            -0.1156078699830136,
            -0.8231647086976202,
            0.07852547187402067,
            -0.10808103978386975,
            -0.8235060866130586,
            0.08946706636007114,
            -0.09936324356454883,
            -0.8238570581642144,
            0.09944798999444676,
            -0.08954337238829098,
            -0.8242023067061159,
            0.10835378856133927,
            -0.07872363546031381,
            -0.824526511721555,
            0.11608030343930138,
            -0.06701899443829402,
            -0.8248150544133113,
            0.122535443703187,
            -0.054556294503668085,
            -0.8250547325879687,
            0.12764093197668175,
            -0.041473052844748524,
            -0.8252344412024074,
            0.13133393096474594,
            -0.027915888796474397,
            -0.8253457704940335,
            0.1335684498255732,
            -0.014038609774538743,
            -0.8253834745638392,
            0.134316432982986,
            -1.5219499513168707e-16,
            -0.8384173002680624,
            0.0906377951815927,
            0,
            -0.8383994178365143,
            0.09013749165026476,
            0.009473832128667375,
            -0.8383465816595543,
            0.08864243866720983,
            0.01884153198114794,
            -0.8382611843678446,
            0.08617010638519039,
            0.027998364791033282,
            -0.8381470806920449,
            0.08274927481961593,
            0.036842350838172354,
            -0.8380093973078937,
            0.07841954664538618,
            0.04527554636544212,
            -0.8378542841980345,
            0.07323069933797231,
            0.053205217424610915,
            -0.8376886228026561,
            0.06724190636433727,
            0.06054488443674595,
            -0.8375197077553089,
            0.06052085997033215,
            0.06721522449127601,
            -0.8373549190732922,
            0.053142827938295854,
            0.07314482757698078,
            -0.837201400524662,
            0.04518967385640004,
            0.07827081109675185,
            -0.8370657578817562,
            0.03674886556946825,
            0.08253930346828815,
            -0.8369537882918711,
            0.027912490323444228,
            0.08590581195002785,
            -0.8368702494182363,
            0.018776288439071625,
            0.08833549193470863,
            -0.836818674613846,
            0.009438710842606354,
            0.0898033349345792,
            -0.836801238362322,
            2.557829078700483e-17,
            0.09029429061946263,
            -0.836818674613846,
            -0.009438710842606344,
            0.08980333493457922,
            -0.8368702494182363,
            -0.018776288439071632,
            0.08833549193470863,
            -0.8369537882918711,
            -0.027912490323444214,
            0.08590581195002786,
            -0.8370657578817562,
            -0.03674886556946823,
            0.08253930346828817,
            -0.837201400524662,
            -0.04518967385640001,
            0.07827081109675187,
            -0.8373549190732922,
            -0.05314282793829585,
            0.07314482757698078,
            -0.8375197077553089,
            -0.060520859970332117,
            0.06721522449127604,
            -0.8376886228026561,
            -0.06724190636433727,
            0.060544884436745966,
            -0.8378542841980345,
            -0.07323069933797231,
            0.05320521742461093,
            -0.8380093973078937,
            -0.07841954664538618,
            0.04527554636544212,
            -0.8381470806920449,
            -0.08274927481961594,
            0.03684235083817235,
            -0.8382611843678446,
            -0.08617010638519039,
            0.027998364791033296,
            -0.8383465816595543,
            -0.08864243866720983,
            0.01884153198114794,
            -0.8383994178365143,
            -0.09013749165026477,
            0.00947383212866736,
            -0.8384173002680624,
            -0.0906377951815927,
            5.135119541983641e-17,
            -0.8383994178365143,
            -0.09013749165026477,
            -0.009473832128667339,
            -0.8383465816595543,
            -0.08864243866720983,
            -0.018841531981147915,
            -0.8382611843678446,
            -0.0861701063851904,
            -0.02799836479103327,
            -0.8381470806920449,
            -0.08274927481961593,
            -0.036842350838172354,
            -0.8380093973078937,
            -0.0784195466453862,
            -0.0452755463654421,
            -0.8378542841980345,
            -0.07323069933797231,
            -0.0532052174246109,
            -0.8376886228026561,
            -0.06724190636433727,
            -0.06054488443674595,
            -0.8375197077553089,
            -0.06052085997033216,
            -0.067215224491276,
            -0.8373549190732922,
            -0.05314282793829587,
            -0.07314482757698078,
            -0.837201400524662,
            -0.04518967385640007,
            -0.07827081109675184,
            -0.8370657578817562,
            -0.0367488655694683,
            -0.08253930346828814,
            -0.8369537882918711,
            -0.027912490323444235,
            -0.08590581195002785,
            -0.8368702494182363,
            -0.018776288439071677,
            -0.08833549193470862,
            -0.836818674613846,
            -0.009438710842606425,
            -0.0898033349345792,
            -0.836801238362322,
            -1.6586792098260868e-17,
            -0.09029429061946263,
            -0.836818674613846,
            0.009438710842606312,
            -0.08980333493457922,
            -0.8368702494182363,
            0.018776288439071642,
            -0.08833549193470862,
            -0.8369537882918711,
            0.027912490323444204,
            -0.08590581195002786,
            -0.8370657578817562,
            0.0367488655694682,
            -0.08253930346828818,
            -0.837201400524662,
            0.04518967385640004,
            -0.07827081109675185,
            -0.8373549190732922,
            0.05314282793829584,
            -0.07314482757698079,
            -0.8375197077553089,
            0.06052085997033216,
            -0.067215224491276,
            -0.8376886228026561,
            0.06724190636433727,
            -0.06054488443674594,
            -0.8378542841980345,
            0.07323069933797231,
            -0.05320521742461093,
            -0.8380093973078937,
            0.0784195466453862,
            -0.04527554636544209,
            -0.8381470806920449,
            0.08274927481961594,
            -0.036842350838172354,
            -0.8382611843678446,
            0.08617010638519039,
            -0.0279983647910333,
            -0.8383465816595543,
            0.08864243866720983,
            -0.018841531981147908,
            -0.8383994178365143,
            0.09013749165026476,
            -0.009473832128667372,
            -0.8384173002680624,
            0.0906377951815927,
            -1.0270239083967282e-16,
            -0.8463452732380143,
            0.045651527784942705,
            0,
            -0.8463406247560843,
            0.04540095804046593,
            0.004771832975172236,
            -0.8463268844376599,
            0.04465204186689928,
            0.009491084490773984,
            -0.8463046583570415,
            0.04341312311244167,
            0.014105778774216314,
            -0.8462749260792406,
            0.04169799128429356,
            0.01856514183951282,
            -0.8462389964253372,
            0.03952570915562318,
            0.022820178820909892,
            -0.8461984486421309,
            0.03692037713846684,
            0.02682422414109303,
            -0.8461550618315423,
            0.033910839679022045,
            0.030533457192527116,
            -0.846110735993036,
            0.030530339824536876,
            0.03390737749111876,
            -0.8460674083367183,
            0.02681612863882927,
            0.03690923463551387,
            -0.8460269686339028,
            0.022809036311473012,
            0.039506409763154664,
            -0.8459911772986357,
            0.01855301165183131,
            0.0416707464366865,
            -0.8459615896612901,
            0.014094636247804245,
            0.0433788299423407,
            -0.845939489533259,
            0.009482618982649323,
            0.044612214782483985,
            -0.845925834701019,
            0.004767275932266923,
            0.04535760067343125,
            -0.8459212164573368,
            1.2919399620343009e-17,
            0.04560695762130036,
            -0.845925834701019,
            -0.004767275932266917,
            0.04535760067343125,
            -0.845939489533259,
            -0.009482618982649328,
            0.044612214782483985,
            -0.8459615896612901,
            -0.014094636247804238,
            0.043378829942340706,
            -0.8459911772986357,
            -0.018553011651831295,
            0.04167074643668651,
            -0.8460269686339028,
            -0.022809036311472995,
            0.03950640976315467,
            -0.8460674083367183,
            -0.026816128638829262,
            0.03690923463551387,
            -0.846110735993036,
            -0.030530339824536866,
            0.03390737749111877,
            -0.8461550618315423,
            -0.03391083967902204,
            0.03053345719252713,
            -0.8461984486421309,
            -0.03692037713846683,
            0.026824224141093034,
            -0.8462389964253372,
            -0.03952570915562318,
            0.022820178820909892,
            -0.8462749260792406,
            -0.041697991284293565,
            0.018565141839512814,
            -0.8463046583570415,
            -0.04341312311244167,
            0.014105778774216315,
            -0.8463268844376599,
            -0.04465204186689928,
            0.009491084490773984,
            -0.8463406247560843,
            -0.04540095804046593,
            0.004771832975172229,
            -0.8463452732380143,
            -0.045651527784942705,
            2.5864050640265045e-17,
            -0.8463406247560843,
            -0.04540095804046593,
            -0.0047718329751722174,
            -0.8463268844376599,
            -0.04465204186689928,
            -0.009491084490773974,
            -0.8463046583570415,
            -0.04341312311244167,
            -0.014105778774216307,
            -0.8462749260792406,
            -0.04169799128429356,
            -0.01856514183951282,
            -0.8462389964253372,
            -0.03952570915562319,
            -0.02282017882090988,
            -0.8461984486421309,
            -0.03692037713846684,
            -0.026824224141093023,
            -0.8461550618315423,
            -0.033910839679022045,
            -0.030533457192527116,
            -0.846110735993036,
            -0.03053033982453689,
            -0.03390737749111875,
            -0.8460674083367183,
            -0.026816128638829276,
            -0.03690923463551386,
            -0.8460269686339028,
            -0.022809036311473026,
            -0.03950640976315466,
            -0.8459911772986357,
            -0.018553011651831333,
            -0.04167074643668649,
            -0.8459615896612901,
            -0.014094636247804248,
            -0.0433788299423407,
            -0.845939489533259,
            -0.009482618982649349,
            -0.04461221478248398,
            -0.845925834701019,
            -0.004767275932266959,
            -0.04535760067343125,
            -0.8459212164573368,
            -8.377862200466169e-18,
            -0.04560695762130036,
            -0.845925834701019,
            0.004767275932266901,
            -0.04535760067343125,
            -0.845939489533259,
            0.009482618982649333,
            -0.04461221478248398,
            -0.8459615896612901,
            0.014094636247804233,
            -0.043378829942340706,
            -0.8459911772986357,
            0.01855301165183128,
            -0.041670746436686515,
            -0.8460269686339028,
            0.022809036311473012,
            -0.039506409763154664,
            -0.8460674083367183,
            0.02681612863882926,
            -0.03690923463551388,
            -0.846110735993036,
            0.03053033982453689,
            -0.03390737749111875,
            -0.8461550618315423,
            0.033910839679022045,
            -0.030533457192527112,
            -0.8461984486421309,
            0.03692037713846683,
            -0.026824224141093037,
            -0.8462389964253372,
            0.03952570915562319,
            -0.02282017882090988,
            -0.8462749260792406,
            0.041697991284293565,
            -0.01856514183951282,
            -0.8463046583570415,
            0.04341312311244167,
            -0.014105778774216322,
            -0.8463268844376599,
            0.04465204186689928,
            -0.009491084490773969,
            -0.8463406247560843,
            0.04540095804046593,
            -0.004771832975172234,
            -0.8463452732380143,
            0.045651527784942705,
            -5.172810128053009e-17,
            -0.8490062274416736,
            2.4758757800852014e-16,
            0,
            -0.8490062274416736,
            2.462312673506737e-16,
            2.5879949053390882e-17,
            -0.8490062274416736,
            2.4217719540052794e-16,
            5.1476351969225304e-17,
            -0.8490062274416736,
            2.354697794187377e-16,
            7.650876920076572e-17,
            -0.8490062274416736,
            2.2618250725841667e-16,
            1.0070294034645329e-16,
            -0.8490062274416736,
            2.144171322168399e-16,
            1.2379378900426005e-16,
            -0.8490062274416736,
            2.0030255820502583e-16,
            1.455283270042204e-16,
            -0.8490062274416736,
            1.8399342744951244e-16,
            1.6566842619976218e-16,
            -0.8490062274416736,
            1.6566842619976218e-16,
            1.8399342744951244e-16,
            -0.8490062274416736,
            1.455283270042204e-16,
            2.0030255820502583e-16,
            -0.8490062274416736,
            1.237937890042601e-16,
            2.1441713221683985e-16,
            -0.8490062274416736,
            1.0070294034645334e-16,
            2.2618250725841667e-16,
            -0.8490062274416736,
            7.650876920076573e-17,
            2.354697794187377e-16,
            -0.8490062274416736,
            5.1476351969225285e-17,
            2.4217719540052794e-16,
            -0.8490062274416736,
            2.5879949053390882e-17,
            2.462312673506737e-16,
            -0.8490062274416736,
            7.013585268908622e-32,
            2.4758757800852014e-16,
            -0.8490062274416736,
            -2.5879949053390855e-17,
            2.462312673506737e-16,
            -0.8490062274416736,
            -5.1476351969225316e-17,
            2.4217719540052794e-16,
            -0.8490062274416736,
            -7.650876920076571e-17,
            2.3546977941873775e-16,
            -0.8490062274416736,
            -1.0070294034645327e-16,
            2.2618250725841667e-16,
            -0.8490062274416736,
            -1.2379378900426e-16,
            2.144171322168399e-16,
            -0.8490062274416736,
            -1.4552832700422035e-16,
            2.0030255820502583e-16,
            -0.8490062274416736,
            -1.6566842619976213e-16,
            1.839934274495125e-16,
            -0.8490062274416736,
            -1.839934274495124e-16,
            1.6566842619976226e-16,
            -0.8490062274416736,
            -2.0030255820502578e-16,
            1.4552832700422042e-16,
            -0.8490062274416736,
            -2.144171322168399e-16,
            1.2379378900426005e-16,
            -0.8490062274416736,
            -2.2618250725841667e-16,
            1.0070294034645325e-16,
            -0.8490062274416736,
            -2.354697794187377e-16,
            7.650876920076574e-17,
            -0.8490062274416736,
            -2.4217719540052794e-16,
            5.1476351969225304e-17,
            -0.8490062274416736,
            -2.462312673506737e-16,
            2.5879949053390842e-17,
            -0.8490062274416736,
            -2.4758757800852014e-16,
            1.4027170537817245e-31,
            -0.8490062274416736,
            -2.462312673506737e-16,
            -2.5879949053390784e-17,
            -0.8490062274416736,
            -2.4217719540052794e-16,
            -5.147635196922524e-17,
            -0.8490062274416736,
            -2.3546977941873775e-16,
            -7.65087692007657e-17,
            -0.8490062274416736,
            -2.2618250725841667e-16,
            -1.0070294034645329e-16,
            -0.8490062274416736,
            -2.144171322168399e-16,
            -1.2379378900426e-16,
            -0.8490062274416736,
            -2.0030255820502583e-16,
            -1.4552832700422035e-16,
            -0.8490062274416736,
            -1.8399342744951244e-16,
            -1.6566842619976218e-16,
            -0.8490062274416736,
            -1.6566842619976226e-16,
            -1.8399342744951237e-16,
            -0.8490062274416736,
            -1.4552832700422042e-16,
            -2.0030255820502578e-16,
            -0.8490062274416736,
            -1.2379378900426017e-16,
            -2.1441713221683982e-16,
            -0.8490062274416736,
            -1.0070294034645349e-16,
            -2.261825072584166e-16,
            -0.8490062274416736,
            -7.650876920076577e-17,
            -2.354697794187377e-16,
            -0.8490062274416736,
            -5.147635196922542e-17,
            -2.421771954005279e-16,
            -0.8490062274416736,
            -2.5879949053391076e-17,
            -2.462312673506737e-16,
            -0.8490062274416736,
            -4.5481100237516975e-32,
            -2.4758757800852014e-16,
            -0.8490062274416736,
            2.5879949053390768e-17,
            -2.462312673506737e-16,
            -0.8490062274416736,
            5.1476351969225334e-17,
            -2.421771954005279e-16,
            -0.8490062274416736,
            7.650876920076568e-17,
            -2.3546977941873775e-16,
            -0.8490062274416736,
            1.0070294034645318e-16,
            -2.261825072584167e-16,
            -0.8490062274416736,
            1.237937890042601e-16,
            -2.1441713221683985e-16,
            -0.8490062274416736,
            1.4552832700422032e-16,
            -2.0030255820502583e-16,
            -0.8490062274416736,
            1.6566842619976226e-16,
            -1.8399342744951237e-16,
            -0.8490062274416736,
            1.8399342744951244e-16,
            -1.6566842619976218e-16,
            -0.8490062274416736,
            2.0030255820502578e-16,
            -1.4552832700422045e-16,
            -0.8490062274416736,
            2.144171322168399e-16,
            -1.2379378900426e-16,
            -0.8490062274416736,
            2.2618250725841667e-16,
            -1.0070294034645329e-16,
            -0.8490062274416736,
            2.354697794187377e-16,
            -7.650876920076578e-17,
            -0.8490062274416736,
            2.4217719540052794e-16,
            -5.147635196922522e-17,
            -0.8490062274416736,
            2.462312673506737e-16,
            -2.587994905339087e-17,
            -0.8490062274416736,
            2.4758757800852014e-16,
            -2.805434107563449e-31
          ],
          "indices": [
            0,
            61,
            1,
            1,
            61,
            62,
            1,
            62,
            2,
            2,
            62,
            63,
            2,
            63,
            3,
            3,
            63,
            64,
            3,
            64,
            4,
            4,
            64,
            65,
            4,
            65,
            5,
            5,
            65,
            66,
            5,
            66,
            6,
            6,
            66,
            67,
            6,
            67,
            7,
            7,
            67,
            68,
            7,
            68,
            8,
            8,
            68,
            69,
            8,
            69,
            9,
            9,
            69,
            70,
            9,
            70,
            10,
            10,
            70,
            71,
            10,
            71,
            11,
            11,
            71,
            72,
            11,
            72,
            12,
            12,
            72,
            73,
            12,
            73,
            13,
            13,
            73,
            74,
            13,
            74,
            14,
            14,
            74,
            75,
            14,
            75,
            15,
            15,
            75,
            76,
            15,
            76,
            16,
            16,
            76,
            77,
            16,
            77,
            17,
            17,
            77,
            78,
            17,
            78,
            18,
            18,
            78,
            79,
            18,
            79,
            19,
            19,
            79,
            80,
            19,
            80,
            20,
            20,
            80,
            81,
            20,
            81,
            21,
            21,
            81,
            82,
            21,
            82,
            22,
            22,
            82,
            83,
            22,
            83,
            23,
            23,
            83,
            84,
            23,
            84,
            24,
            24,
            84,
            85,
            24,
            85,
            25,
            25,
            85,
            86,
            25,
            86,
            26,
            26,
            86,
            87,
            26,
            87,
            27,
            27,
            87,
            88,
            27,
            88,
            28,
            28,
            88,
            89,
            28,
            89,
            29,
            29,
            89,
            90,
            29,
            90,
            30,
            30,
            90,
            91,
            30,
            91,
            31,
            31,
            91,
            92,
            31,
            92,
            32,
            32,
            92,
            93,
            32,
            93,
            33,
            33,
            93,
            94,
            33,
            94,
            34,
            34,
            94,
            95,
            34,
            95,
            35,
            35,
            95,
            96,
            35,
            96,
            36,
            36,
            96,
            97,
            36,
            97,
            37,
            37,
            97,
            98,
            37,
            98,
            38,
            38,
            98,
            99,
            38,
            99,
            39,
            39,
            99,
            100,
            39,
            100,
            40,
            40,
            100,
            101,
            40,
            101,
            41,
            41,
            101,
            102,
            41,
            102,
            42,
            42,
            102,
            103,
            42,
            103,
            43,
            43,
            103,
            104,
            43,
            104,
            44,
            44,
            104,
            105,
            44,
            105,
            45,
            45,
            105,
            106,
            45,
            106,
            46,
            46,
            106,
            107,
            46,
            107,
            47,
            47,
            107,
            108,
            47,
            108,
            48,
            48,
            108,
            109,
            48,
            109,
            49,
            49,
            109,
            110,
            49,
            110,
            50,
            50,
            110,
            111,
            50,
            111,
            51,
            51,
            111,
            112,
            51,
            112,
            52,
            52,
            112,
            113,
            52,
            113,
            53,
            53,
            113,
            114,
            53,
            114,
            54,
            54,
            114,
            115,
            54,
            115,
            55,
            55,
            115,
            116,
            55,
            116,
            56,
            56,
            116,
            117,
            56,
            117,
            57,
            57,
            117,
            118,
            57,
            118,
            58,
            58,
            118,
            119,
            58,
            119,
            59,
            59,
            119,
            120,
            59,
            120,
            60,
            60,
            120,
            121,
            61,
            122,
            62,
            62,
            122,
            123,
            62,
            123,
            63,
            63,
            123,
            124,
            63,
            124,
            64,
            64,
            124,
            125,
            64,
            125,
            65,
            65,
            125,
            126,
            65,
            126,
            66,
            66,
            126,
            127,
            66,
            127,
            67,
            67,
            127,
            128,
            67,
            128,
            68,
            68,
            128,
            129,
            68,
            129,
            69,
            69,
            129,
            130,
            69,
            130,
            70,
            70,
            130,
            131,
            70,
            131,
            71,
            71,
            131,
            132,
            71,
            132,
            72,
            72,
            132,
            133,
            72,
            133,
            73,
            73,
            133,
            134,
            73,
            134,
            74,
            74,
            134,
            135,
            74,
            135,
            75,
            75,
            135,
            136,
            75,
            136,
            76,
            76,
            136,
            137,
            76,
            137,
            77,
            77,
            137,
            138,
            77,
            138,
            78,
            78,
            138,
            139,
            78,
            139,
            79,
            79,
            139,
            140,
            79,
            140,
            80,
            80,
            140,
            141,
            80,
            141,
            81,
            81,
            141,
            142,
            81,
            142,
            82,
            82,
            142,
            143,
            82,
            143,
            83,
            83,
            143,
            144,
            83,
            144,
            84,
            84,
            144,
            145,
            84,
            145,
            85,
            85,
            145,
            146,
            85,
            146,
            86,
            86,
            146,
            147,
            86,
            147,
            87,
            87,
            147,
            148,
            87,
            148,
            88,
            88,
            148,
            149,
            88,
            149,
            89,
            89,
            149,
            150,
            89,
            150,
            90,
            90,
            150,
            151,
            90,
            151,
            91,
            91,
            151,
            152,
            91,
            152,
            92,
            92,
            152,
            153,
            92,
            153,
            93,
            93,
            153,
            154,
            93,
            154,
            94,
            94,
            154,
            155,
            94,
            155,
            95,
            95,
            155,
            156,
            95,
            156,
            96,
            96,
            156,
            157,
            96,
            157,
            97,
            97,
            157,
            158,
            97,
            158,
            98,
            98,
            158,
            159,
            98,
            159,
            99,
            99,
            159,
            160,
            99,
            160,
            100,
            100,
            160,
            161,
            100,
            161,
            101,
            101,
            161,
            162,
            101,
            162,
            102,
            102,
            162,
            163,
            102,
            163,
            103,
            103,
            163,
            164,
            103,
            164,
            104,
            104,
            164,
            165,
            104,
            165,
            105,
            105,
            165,
            166,
            105,
            166,
            106,
            106,
            166,
            167,
            106,
            167,
            107,
            107,
            167,
            168,
            107,
            168,
            108,
            108,
            168,
            169,
            108,
            169,
            109,
            109,
            169,
            170,
            109,
            170,
            110,
            110,
            170,
            171,
            110,
            171,
            111,
            111,
            171,
            172,
            111,
            172,
            112,
            112,
            172,
            173,
            112,
            173,
            113,
            113,
            173,
            174,
            113,
            174,
            114,
            114,
            174,
            175,
            114,
            175,
            115,
            115,
            175,
            176,
            115,
            176,
            116,
            116,
            176,
            177,
            116,
            177,
            117,
            117,
            177,
            178,
            117,
            178,
            118,
            118,
            178,
            179,
            118,
            179,
            119,
            119,
            179,
            180,
            119,
            180,
            120,
            120,
            180,
            181,
            120,
            181,
            121,
            121,
            181,
            182,
            122,
            183,
            123,
            123,
            183,
            184,
            123,
            184,
            124,
            124,
            184,
            185,
            124,
            185,
            125,
            125,
            185,
            186,
            125,
            186,
            126,
            126,
            186,
            187,
            126,
            187,
            127,
            127,
            187,
            188,
            127,
            188,
            128,
            128,
            188,
            189,
            128,
            189,
            129,
            129,
            189,
            190,
            129,
            190,
            130,
            130,
            190,
            191,
            130,
            191,
            131,
            131,
            191,
            192,
            131,
            192,
            132,
            132,
            192,
            193,
            132,
            193,
            133,
            133,
            193,
            194,
            133,
            194,
            134,
            134,
            194,
            195,
            134,
            195,
            135,
            135,
            195,
            196,
            135,
            196,
            136,
            136,
            196,
            197,
            136,
            197,
            137,
            137,
            197,
            198,
            137,
            198,
            138,
            138,
            198,
            199,
            138,
            199,
            139,
            139,
            199,
            200,
            139,
            200,
            140,
            140,
            200,
            201,
            140,
            201,
            141,
            141,
            201,
            202,
            141,
            202,
            142,
            142,
            202,
            203,
            142,
            203,
            143,
            143,
            203,
            204,
            143,
            204,
            144,
            144,
            204,
            205,
            144,
            205,
            145,
            145,
            205,
            206,
            145,
            206,
            146,
            146,
            206,
            207,
            146,
            207,
            147,
            147,
            207,
            208,
            147,
            208,
            148,
            148,
            208,
            209,
            148,
            209,
            149,
            149,
            209,
            210,
            149,
            210,
            150,
            150,
            210,
            211,
            150,
            211,
            151,
            151,
            211,
            212,
            151,
            212,
            152,
            152,
            212,
            213,
            152,
            213,
            153,
            153,
            213,
            214,
            153,
            214,
            154,
            154,
            214,
            215,
            154,
            215,
            155,
            155,
            215,
            216,
            155,
            216,
            156,
            156,
            216,
            217,
            156,
            217,
            157,
            157,
            217,
            218,
            157,
            218,
            158,
            158,
            218,
            219,
            158,
            219,
            159,
            159,
            219,
            220,
            159,
            220,
            160,
            160,
            220,
            221,
            160,
            221,
            161,
            161,
            221,
            222,
            161,
            222,
            162,
            162,
            222,
            223,
            162,
            223,
            163,
            163,
            223,
            224,
            163,
            224,
            164,
            164,
            224,
            225,
            164,
            225,
            165,
            165,
            225,
            226,
            165,
            226,
            166,
            166,
            226,
            227,
            166,
            227,
            167,
            167,
            227,
            228,
            167,
            228,
            168,
            168,
            228,
            229,
            168,
            229,
            169,
            169,
            229,
            230,
            169,
            230,
            170,
            170,
            230,
            231,
            170,
            231,
            171,
            171,
            231,
            232,
            171,
            232,
            172,
            172,
            232,
            233,
            172,
            233,
            173,
            173,
            233,
            234,
            173,
            234,
            174,
            174,
            234,
            235,
            174,
            235,
            175,
            175,
            235,
            236,
            175,
            236,
            176,
            176,
            236,
            237,
            176,
            237,
            177,
            177,
            237,
            238,
            177,
            238,
            178,
            178,
            238,
            239,
            178,
            239,
            179,
            179,
            239,
            240,
            179,
            240,
            180,
            180,
            240,
            241,
            180,
            241,
            181,
            181,
            241,
            242,
            181,
            242,
            182,
            182,
            242,
            243,
            183,
            244,
            184,
            184,
            244,
            245,
            184,
            245,
            185,
            185,
            245,
            246,
            185,
            246,
            186,
            186,
            246,
            247,
            186,
            247,
            187,
            187,
            247,
            248,
            187,
            248,
            188,
            188,
            248,
            249,
            188,
            249,
            189,
            189,
            249,
            250,
            189,
            250,
            190,
            190,
            250,
            251,
            190,
            251,
            191,
            191,
            251,
            252,
            191,
            252,
            192,
            192,
            252,
            253,
            192,
            253,
            193,
            193,
            253,
            254,
            193,
            254,
            194,
            194,
            254,
            255,
            194,
            255,
            195,
            195,
            255,
            256,
            195,
            256,
            196,
            196,
            256,
            257,
            196,
            257,
            197,
            197,
            257,
            258,
            197,
            258,
            198,
            198,
            258,
            259,
            198,
            259,
            199,
            199,
            259,
            260,
            199,
            260,
            200,
            200,
            260,
            261,
            200,
            261,
            201,
            201,
            261,
            262,
            201,
            262,
            202,
            202,
            262,
            263,
            202,
            263,
            203,
            203,
            263,
            264,
            203,
            264,
            204,
            204,
            264,
            265,
            204,
            265,
            205,
            205,
            265,
            266,
            205,
            266,
            206,
            206,
            266,
            267,
            206,
            267,
            207,
            207,
            267,
            268,
            207,
            268,
            208,
            208,
            268,
            269,
            208,
            269,
            209,
            209,
            269,
            270,
            209,
            270,
            210,
            210,
            270,
            271,
            210,
            271,
            211,
            211,
            271,
            272,
            211,
            272,
            212,
            212,
            272,
            273,
            212,
            273,
            213,
            213,
            273,
            274,
            213,
            274,
            214,
            214,
            274,
            275,
            214,
            275,
            215,
            215,
            275,
            276,
            215,
            276,
            216,
            216,
            276,
            277,
            216,
            277,
            217,
            217,
            277,
            278,
            217,
            278,
            218,
            218,
            278,
            279,
            218,
            279,
            219,
            219,
            279,
            280,
            219,
            280,
            220,
            220,
            280,
            281,
            220,
            281,
            221,
            221,
            281,
            282,
            221,
            282,
            222,
            222,
            282,
            283,
            222,
            283,
            223,
            223,
            283,
            284,
            223,
            284,
            224,
            224,
            284,
            285,
            224,
            285,
            225,
            225,
            285,
            286,
            225,
            286,
            226,
            226,
            286,
            287,
            226,
            287,
            227,
            227,
            287,
            288,
            227,
            288,
            228,
            228,
            288,
            289,
            228,
            289,
            229,
            229,
            289,
            290,
            229,
            290,
            230,
            230,
            290,
            291,
            230,
            291,
            231,
            231,
            291,
            292,
            231,
            292,
            232,
            232,
            292,
            293,
            232,
            293,
            233,
            233,
            293,
            294,
            233,
            294,
            234,
            234,
            294,
            295,
            234,
            295,
            235,
            235,
            295,
            296,
            235,
            296,
            236,
            236,
            296,
            297,
            236,
            297,
            237,
            237,
            297,
            298,
            237,
            298,
            238,
            238,
            298,
            299,
            238,
            299,
            239,
            239,
            299,
            300,
            239,
            300,
            240,
            240,
            300,
            301,
            240,
            301,
            241,
            241,
            301,
            302,
            241,
            302,
            242,
            242,
            302,
            303,
            242,
            303,
            243,
            243,
            303,
            304,
            244,
            305,
            245,
            245,
            305,
            306,
            245,
            306,
            246,
            246,
            306,
            307,
            246,
            307,
            247,
            247,
            307,
            308,
            247,
            308,
            248,
            248,
            308,
            309,
            248,
            309,
            249,
            249,
            309,
            310,
            249,
            310,
            250,
            250,
            310,
            311,
            250,
            311,
            251,
            251,
            311,
            312,
            251,
            312,
            252,
            252,
            312,
            313,
            252,
            313,
            253,
            253,
            313,
            314,
            253,
            314,
            254,
            254,
            314,
            315,
            254,
            315,
            255,
            255,
            315,
            316,
            255,
            316,
            256,
            256,
            316,
            317,
            256,
            317,
            257,
            257,
            317,
            318,
            257,
            318,
            258,
            258,
            318,
            319,
            258,
            319,
            259,
            259,
            319,
            320,
            259,
            320,
            260,
            260,
            320,
            321,
            260,
            321,
            261,
            261,
            321,
            322,
            261,
            322,
            262,
            262,
            322,
            323,
            262,
            323,
            263,
            263,
            323,
            324,
            263,
            324,
            264,
            264,
            324,
            325,
            264,
            325,
            265,
            265,
            325,
            326,
            265,
            326,
            266,
            266,
            326,
            327,
            266,
            327,
            267,
            267,
            327,
            328,
            267,
            328,
            268,
            268,
            328,
            329,
            268,
            329,
            269,
            269,
            329,
            330,
            269,
            330,
            270,
            270,
            330,
            331,
            270,
            331,
            271,
            271,
            331,
            332,
            271,
            332,
            272,
            272,
            332,
            333,
            272,
            333,
            273,
            273,
            333,
            334,
            273,
            334,
            274,
            274,
            334,
            335,
            274,
            335,
            275,
            275,
            335,
            336,
            275,
            336,
            276,
            276,
            336,
            337,
            276,
            337,
            277,
            277,
            337,
            338,
            277,
            338,
            278,
            278,
            338,
            339,
            278,
            339,
            279,
            279,
            339,
            340,
            279,
            340,
            280,
            280,
            340,
            341,
            280,
            341,
            281,
            281,
            341,
            342,
            281,
            342,
            282,
            282,
            342,
            343,
            282,
            343,
            283,
            283,
            343,
            344,
            283,
            344,
            284,
            284,
            344,
            345,
            284,
            345,
            285,
            285,
            345,
            346,
            285,
            346,
            286,
            286,
            346,
            347,
            286,
            347,
            287,
            287,
            347,
            348,
            287,
            348,
            288,
            288,
            348,
            349,
            288,
            349,
            289,
            289,
            349,
            350,
            289,
            350,
            290,
            290,
            350,
            351,
            290,
            351,
            291,
            291,
            351,
            352,
            291,
            352,
            292,
            292,
            352,
            353,
            292,
            353,
            293,
            293,
            353,
            354,
            293,
            354,
            294,
            294,
            354,
            355,
            294,
            355,
            295,
            295,
            355,
            356,
            295,
            356,
            296,
            296,
            356,
            357,
            296,
            357,
            297,
            297,
            357,
            358,
            297,
            358,
            298,
            298,
            358,
            359,
            298,
            359,
            299,
            299,
            359,
            360,
            299,
            360,
            300,
            300,
            360,
            361,
            300,
            361,
            301,
            301,
            361,
            362,
            301,
            362,
            302,
            302,
            362,
            363,
            302,
            363,
            303,
            303,
            363,
            364,
            303,
            364,
            304,
            304,
            364,
            365,
            305,
            366,
            306,
            306,
            366,
            367,
            306,
            367,
            307,
            307,
            367,
            368,
            307,
            368,
            308,
            308,
            368,
            369,
            308,
            369,
            309,
            309,
            369,
            370,
            309,
            370,
            310,
            310,
            370,
            371,
            310,
            371,
            311,
            311,
            371,
            372,
            311,
            372,
            312,
            312,
            372,
            373,
            312,
            373,
            313,
            313,
            373,
            374,
            313,
            374,
            314,
            314,
            374,
            375,
            314,
            375,
            315,
            315,
            375,
            376,
            315,
            376,
            316,
            316,
            376,
            377,
            316,
            377,
            317,
            317,
            377,
            378,
            317,
            378,
            318,
            318,
            378,
            379,
            318,
            379,
            319,
            319,
            379,
            380,
            319,
            380,
            320,
            320,
            380,
            381,
            320,
            381,
            321,
            321,
            381,
            382,
            321,
            382,
            322,
            322,
            382,
            383,
            322,
            383,
            323,
            323,
            383,
            384,
            323,
            384,
            324,
            324,
            384,
            385,
            324,
            385,
            325,
            325,
            385,
            386,
            325,
            386,
            326,
            326,
            386,
            387,
            326,
            387,
            327,
            327,
            387,
            388,
            327,
            388,
            328,
            328,
            388,
            389,
            328,
            389,
            329,
            329,
            389,
            390,
            329,
            390,
            330,
            330,
            390,
            391,
            330,
            391,
            331,
            331,
            391,
            392,
            331,
            392,
            332,
            332,
            392,
            393,
            332,
            393,
            333,
            333,
            393,
            394,
            333,
            394,
            334,
            334,
            394,
            395,
            334,
            395,
            335,
            335,
            395,
            396,
            335,
            396,
            336,
            336,
            396,
            397,
            336,
            397,
            337,
            337,
            397,
            398,
            337,
            398,
            338,
            338,
            398,
            399,
            338,
            399,
            339,
            339,
            399,
            400,
            339,
            400,
            340,
            340,
            400,
            401,
            340,
            401,
            341,
            341,
            401,
            402,
            341,
            402,
            342,
            342,
            402,
            403,
            342,
            403,
            343,
            343,
            403,
            404,
            343,
            404,
            344,
            344,
            404,
            405,
            344,
            405,
            345,
            345,
            405,
            406,
            345,
            406,
            346,
            346,
            406,
            407,
            346,
            407,
            347,
            347,
            407,
            408,
            347,
            408,
            348,
            348,
            408,
            409,
            348,
            409,
            349,
            349,
            409,
            410,
            349,
            410,
            350,
            350,
            410,
            411,
            350,
            411,
            351,
            351,
            411,
            412,
            351,
            412,
            352,
            352,
            412,
            413,
            352,
            413,
            353,
            353,
            413,
            414,
            353,
            414,
            354,
            354,
            414,
            415,
            354,
            415,
            355,
            355,
            415,
            416,
            355,
            416,
            356,
            356,
            416,
            417,
            356,
            417,
            357,
            357,
            417,
            418,
            357,
            418,
            358,
            358,
            418,
            419,
            358,
            419,
            359,
            359,
            419,
            420,
            359,
            420,
            360,
            360,
            420,
            421,
            360,
            421,
            361,
            361,
            421,
            422,
            361,
            422,
            362,
            362,
            422,
            423,
            362,
            423,
            363,
            363,
            423,
            424,
            363,
            424,
            364,
            364,
            424,
            425,
            364,
            425,
            365,
            365,
            425,
            426,
            366,
            427,
            367,
            367,
            427,
            428,
            367,
            428,
            368,
            368,
            428,
            429,
            368,
            429,
            369,
            369,
            429,
            430,
            369,
            430,
            370,
            370,
            430,
            431,
            370,
            431,
            371,
            371,
            431,
            432,
            371,
            432,
            372,
            372,
            432,
            433,
            372,
            433,
            373,
            373,
            433,
            434,
            373,
            434,
            374,
            374,
            434,
            435,
            374,
            435,
            375,
            375,
            435,
            436,
            375,
            436,
            376,
            376,
            436,
            437,
            376,
            437,
            377,
            377,
            437,
            438,
            377,
            438,
            378,
            378,
            438,
            439,
            378,
            439,
            379,
            379,
            439,
            440,
            379,
            440,
            380,
            380,
            440,
            441,
            380,
            441,
            381,
            381,
            441,
            442,
            381,
            442,
            382,
            382,
            442,
            443,
            382,
            443,
            383,
            383,
            443,
            444,
            383,
            444,
            384,
            384,
            444,
            445,
            384,
            445,
            385,
            385,
            445,
            446,
            385,
            446,
            386,
            386,
            446,
            447,
            386,
            447,
            387,
            387,
            447,
            448,
            387,
            448,
            388,
            388,
            448,
            449,
            388,
            449,
            389,
            389,
            449,
            450,
            389,
            450,
            390,
            390,
            450,
            451,
            390,
            451,
            391,
            391,
            451,
            452,
            391,
            452,
            392,
            392,
            452,
            453,
            392,
            453,
            393,
            393,
            453,
            454,
            393,
            454,
            394,
            394,
            454,
            455,
            394,
            455,
            395,
            395,
            455,
            456,
            395,
            456,
            396,
            396,
            456,
            457,
            396,
            457,
            397,
            397,
            457,
            458,
            397,
            458,
            398,
            398,
            458,
            459,
            398,
            459,
            399,
            399,
            459,
            460,
            399,
            460,
            400,
            400,
            460,
            461,
            400,
            461,
            401,
            401,
            461,
            462,
            401,
            462,
            402,
            402,
            462,
            463,
            402,
            463,
            403,
            403,
            463,
            464,
            403,
            464,
            404,
            404,
            464,
            465,
            404,
            465,
            405,
            405,
            465,
            466,
            405,
            466,
            406,
            406,
            466,
            467,
            406,
            467,
            407,
            407,
            467,
            468,
            407,
            468,
            408,
            408,
            468,
            469,
            408,
            469,
            409,
            409,
            469,
            470,
            409,
            470,
            410,
            410,
            470,
            471,
            410,
            471,
            411,
            411,
            471,
            472,
            411,
            472,
            412,
            412,
            472,
            473,
            412,
            473,
            413,
            413,
            473,
            474,
            413,
            474,
            414,
            414,
            474,
            475,
            414,
            475,
            415,
            415,
            475,
            476,
            415,
            476,
            416,
            416,
            476,
            477,
            416,
            477,
            417,
            417,
            477,
            478,
            417,
            478,
            418,
            418,
            478,
            479,
            418,
            479,
            419,
            419,
            479,
            480,
            419,
            480,
            420,
            420,
            480,
            481,
            420,
            481,
            421,
            421,
            481,
            482,
            421,
            482,
            422,
            422,
            482,
            483,
            422,
            483,
            423,
            423,
            483,
            484,
            423,
            484,
            424,
            424,
            484,
            485,
            424,
            485,
            425,
            425,
            485,
            486,
            425,
            486,
            426,
            426,
            486,
            487,
            427,
            488,
            428,
            428,
            488,
            489,
            428,
            489,
            429,
            429,
            489,
            490,
            429,
            490,
            430,
            430,
            490,
            491,
            430,
            491,
            431,
            431,
            491,
            492,
            431,
            492,
            432,
            432,
            492,
            493,
            432,
            493,
            433,
            433,
            493,
            494,
            433,
            494,
            434,
            434,
            494,
            495,
            434,
            495,
            435,
            435,
            495,
            496,
            435,
            496,
            436,
            436,
            496,
            497,
            436,
            497,
            437,
            437,
            497,
            498,
            437,
            498,
            438,
            438,
            498,
            499,
            438,
            499,
            439,
            439,
            499,
            500,
            439,
            500,
            440,
            440,
            500,
            501,
            440,
            501,
            441,
            441,
            501,
            502,
            441,
            502,
            442,
            442,
            502,
            503,
            442,
            503,
            443,
            443,
            503,
            504,
            443,
            504,
            444,
            444,
            504,
            505,
            444,
            505,
            445,
            445,
            505,
            506,
            445,
            506,
            446,
            446,
            506,
            507,
            446,
            507,
            447,
            447,
            507,
            508,
            447,
            508,
            448,
            448,
            508,
            509,
            448,
            509,
            449,
            449,
            509,
            510,
            449,
            510,
            450,
            450,
            510,
            511,
            450,
            511,
            451,
            451,
            511,
            512,
            451,
            512,
            452,
            452,
            512,
            513,
            452,
            513,
            453,
            453,
            513,
            514,
            453,
            514,
            454,
            454,
            514,
            515,
            454,
            515,
            455,
            455,
            515,
            516,
            455,
            516,
            456,
            456,
            516,
            517,
            456,
            517,
            457,
            457,
            517,
            518,
            457,
            518,
            458,
            458,
            518,
            519,
            458,
            519,
            459,
            459,
            519,
            520,
            459,
            520,
            460,
            460,
            520,
            521,
            460,
            521,
            461,
            461,
            521,
            522,
            461,
            522,
            462,
            462,
            522,
            523,
            462,
            523,
            463,
            463,
            523,
            524,
            463,
            524,
            464,
            464,
            524,
            525,
            464,
            525,
            465,
            465,
            525,
            526,
            465,
            526,
            466,
            466,
            526,
            527,
            466,
            527,
            467,
            467,
            527,
            528,
            467,
            528,
            468,
            468,
            528,
            529,
            468,
            529,
            469,
            469,
            529,
            530,
            469,
            530,
            470,
            470,
            530,
            531,
            470,
            531,
            471,
            471,
            531,
            532,
            471,
            532,
            472,
            472,
            532,
            533,
            472,
            533,
            473,
            473,
            533,
            534,
            473,
            534,
            474,
            474,
            534,
            535,
            474,
            535,
            475,
            475,
            535,
            536,
            475,
            536,
            476,
            476,
            536,
            537,
            476,
            537,
            477,
            477,
            537,
            538,
            477,
            538,
            478,
            478,
            538,
            539,
            478,
            539,
            479,
            479,
            539,
            540,
            479,
            540,
            480,
            480,
            540,
            541,
            480,
            541,
            481,
            481,
            541,
            542,
            481,
            542,
            482,
            482,
            542,
            543,
            482,
            543,
            483,
            483,
            543,
            544,
            483,
            544,
            484,
            484,
            544,
            545,
            484,
            545,
            485,
            485,
            545,
            546,
            485,
            546,
            486,
            486,
            546,
            547,
            486,
            547,
            487,
            487,
            547,
            548,
            488,
            549,
            489,
            489,
            549,
            550,
            489,
            550,
            490,
            490,
            550,
            551,
            490,
            551,
            491,
            491,
            551,
            552,
            491,
            552,
            492,
            492,
            552,
            553,
            492,
            553,
            493,
            493,
            553,
            554,
            493,
            554,
            494,
            494,
            554,
            555,
            494,
            555,
            495,
            495,
            555,
            556,
            495,
            556,
            496,
            496,
            556,
            557,
            496,
            557,
            497,
            497,
            557,
            558,
            497,
            558,
            498,
            498,
            558,
            559,
            498,
            559,
            499,
            499,
            559,
            560,
            499,
            560,
            500,
            500,
            560,
            561,
            500,
            561,
            501,
            501,
            561,
            562,
            501,
            562,
            502,
            502,
            562,
            563,
            502,
            563,
            503,
            503,
            563,
            564,
            503,
            564,
            504,
            504,
            564,
            565,
            504,
            565,
            505,
            505,
            565,
            566,
            505,
            566,
            506,
            506,
            566,
            567,
            506,
            567,
            507,
            507,
            567,
            568,
            507,
            568,
            508,
            508,
            568,
            569,
            508,
            569,
            509,
            509,
            569,
            570,
            509,
            570,
            510,
            510,
            570,
            571,
            510,
            571,
            511,
            511,
            571,
            572,
            511,
            572,
            512,
            512,
            572,
            573,
            512,
            573,
            513,
            513,
            573,
            574,
            513,
            574,
            514,
            514,
            574,
            575,
            514,
            575,
            515,
            515,
            575,
            576,
            515,
            576,
            516,
            516,
            576,
            577,
            516,
            577,
            517,
            517,
            577,
            578,
            517,
            578,
            518,
            518,
            578,
            579,
            518,
            579,
            519,
            519,
            579,
            580,
            519,
            580,
            520,
            520,
            580,
            581,
            520,
            581,
            521,
            521,
            581,
            582,
            521,
            582,
            522,
            522,
            582,
            583,
            522,
            583,
            523,
            523,
            583,
            584,
            523,
            584,
            524,
            524,
            584,
            585,
            524,
            585,
            525,
            525,
            585,
            586,
            525,
            586,
            526,
            526,
            586,
            587,
            526,
            587,
            527,
            527,
            587,
            588,
            527,
            588,
            528,
            528,
            588,
            589,
            528,
            589,
            529,
            529,
            589,
            590,
            529,
            590,
            530,
            530,
            590,
            591,
            530,
            591,
            531,
            531,
            591,
            592,
            531,
            592,
            532,
            532,
            592,
            593,
            532,
            593,
            533,
            533,
            593,
            594,
            533,
            594,
            534,
            534,
            594,
            595,
            534,
            595,
            535,
            535,
            595,
            596,
            535,
            596,
            536,
            536,
            596,
            597,
            536,
            597,
            537,
            537,
            597,
            598,
            537,
            598,
            538,
            538,
            598,
            599,
            538,
            599,
            539,
            539,
            599,
            600,
            539,
            600,
            540,
            540,
            600,
            601,
            540,
            601,
            541,
            541,
            601,
            602,
            541,
            602,
            542,
            542,
            602,
            603,
            542,
            603,
            543,
            543,
            603,
            604,
            543,
            604,
            544,
            544,
            604,
            605,
            544,
            605,
            545,
            545,
            605,
            606,
            545,
            606,
            546,
            546,
            606,
            607,
            546,
            607,
            547,
            547,
            607,
            608,
            547,
            608,
            548,
            548,
            608,
            609,
            549,
            610,
            550,
            550,
            610,
            611,
            550,
            611,
            551,
            551,
            611,
            612,
            551,
            612,
            552,
            552,
            612,
            613,
            552,
            613,
            553,
            553,
            613,
            614,
            553,
            614,
            554,
            554,
            614,
            615,
            554,
            615,
            555,
            555,
            615,
            616,
            555,
            616,
            556,
            556,
            616,
            617,
            556,
            617,
            557,
            557,
            617,
            618,
            557,
            618,
            558,
            558,
            618,
            619,
            558,
            619,
            559,
            559,
            619,
            620,
            559,
            620,
            560,
            560,
            620,
            621,
            560,
            621,
            561,
            561,
            621,
            622,
            561,
            622,
            562,
            562,
            622,
            623,
            562,
            623,
            563,
            563,
            623,
            624,
            563,
            624,
            564,
            564,
            624,
            625,
            564,
            625,
            565,
            565,
            625,
            626,
            565,
            626,
            566,
            566,
            626,
            627,
            566,
            627,
            567,
            567,
            627,
            628,
            567,
            628,
            568,
            568,
            628,
            629,
            568,
            629,
            569,
            569,
            629,
            630,
            569,
            630,
            570,
            570,
            630,
            631,
            570,
            631,
            571,
            571,
            631,
            632,
            571,
            632,
            572,
            572,
            632,
            633,
            572,
            633,
            573,
            573,
            633,
            634,
            573,
            634,
            574,
            574,
            634,
            635,
            574,
            635,
            575,
            575,
            635,
            636,
            575,
            636,
            576,
            576,
            636,
            637,
            576,
            637,
            577,
            577,
            637,
            638,
            577,
            638,
            578,
            578,
            638,
            639,
            578,
            639,
            579,
            579,
            639,
            640,
            579,
            640,
            580,
            580,
            640,
            641,
            580,
            641,
            581,
            581,
            641,
            642,
            581,
            642,
            582,
            582,
            642,
            643,
            582,
            643,
            583,
            583,
            643,
            644,
            583,
            644,
            584,
            584,
            644,
            645,
            584,
            645,
            585,
            585,
            645,
            646,
            585,
            646,
            586,
            586,
            646,
            647,
            586,
            647,
            587,
            587,
            647,
            648,
            587,
            648,
            588,
            588,
            648,
            649,
            588,
            649,
            589,
            589,
            649,
            650,
            589,
            650,
            590,
            590,
            650,
            651,
            590,
            651,
            591,
            591,
            651,
            652,
            591,
            652,
            592,
            592,
            652,
            653,
            592,
            653,
            593,
            593,
            653,
            654,
            593,
            654,
            594,
            594,
            654,
            655,
            594,
            655,
            595,
            595,
            655,
            656,
            595,
            656,
            596,
            596,
            656,
            657,
            596,
            657,
            597,
            597,
            657,
            658,
            597,
            658,
            598,
            598,
            658,
            659,
            598,
            659,
            599,
            599,
            659,
            660,
            599,
            660,
            600,
            600,
            660,
            661,
            600,
            661,
            601,
            601,
            661,
            662,
            601,
            662,
            602,
            602,
            662,
            663,
            602,
            663,
            603,
            603,
            663,
            664,
            603,
            664,
            604,
            604,
            664,
            665,
            604,
            665,
            605,
            605,
            665,
            666,
            605,
            666,
            606,
            606,
            666,
            667,
            606,
            667,
            607,
            607,
            667,
            668,
            607,
            668,
            608,
            608,
            668,
            669,
            608,
            669,
            609,
            609,
            669,
            670,
            610,
            671,
            611,
            611,
            671,
            672,
            611,
            672,
            612,
            612,
            672,
            673,
            612,
            673,
            613,
            613,
            673,
            674,
            613,
            674,
            614,
            614,
            674,
            675,
            614,
            675,
            615,
            615,
            675,
            676,
            615,
            676,
            616,
            616,
            676,
            677,
            616,
            677,
            617,
            617,
            677,
            678,
            617,
            678,
            618,
            618,
            678,
            679,
            618,
            679,
            619,
            619,
            679,
            680,
            619,
            680,
            620,
            620,
            680,
            681,
            620,
            681,
            621,
            621,
            681,
            682,
            621,
            682,
            622,
            622,
            682,
            683,
            622,
            683,
            623,
            623,
            683,
            684,
            623,
            684,
            624,
            624,
            684,
            685,
            624,
            685,
            625,
            625,
            685,
            686,
            625,
            686,
            626,
            626,
            686,
            687,
            626,
            687,
            627,
            627,
            687,
            688,
            627,
            688,
            628,
            628,
            688,
            689,
            628,
            689,
            629,
            629,
            689,
            690,
            629,
            690,
            630,
            630,
            690,
            691,
            630,
            691,
            631,
            631,
            691,
            692,
            631,
            692,
            632,
            632,
            692,
            693,
            632,
            693,
            633,
            633,
            693,
            694,
            633,
            694,
            634,
            634,
            694,
            695,
            634,
            695,
            635,
            635,
            695,
            696,
            635,
            696,
            636,
            636,
            696,
            697,
            636,
            697,
            637,
            637,
            697,
            698,
            637,
            698,
            638,
            638,
            698,
            699,
            638,
            699,
            639,
            639,
            699,
            700,
            639,
            700,
            640,
            640,
            700,
            701,
            640,
            701,
            641,
            641,
            701,
            702,
            641,
            702,
            642,
            642,
            702,
            703,
            642,
            703,
            643,
            643,
            703,
            704,
            643,
            704,
            644,
            644,
            704,
            705,
            644,
            705,
            645,
            645,
            705,
            706,
            645,
            706,
            646,
            646,
            706,
            707,
            646,
            707,
            647,
            647,
            707,
            708,
            647,
            708,
            648,
            648,
            708,
            709,
            648,
            709,
            649,
            649,
            709,
            710,
            649,
            710,
            650,
            650,
            710,
            711,
            650,
            711,
            651,
            651,
            711,
            712,
            651,
            712,
            652,
            652,
            712,
            713,
            652,
            713,
            653,
            653,
            713,
            714,
            653,
            714,
            654,
            654,
            714,
            715,
            654,
            715,
            655,
            655,
            715,
            716,
            655,
            716,
            656,
            656,
            716,
            717,
            656,
            717,
            657,
            657,
            717,
            718,
            657,
            718,
            658,
            658,
            718,
            719,
            658,
            719,
            659,
            659,
            719,
            720,
            659,
            720,
            660,
            660,
            720,
            721,
            660,
            721,
            661,
            661,
            721,
            722,
            661,
            722,
            662,
            662,
            722,
            723,
            662,
            723,
            663,
            663,
            723,
            724,
            663,
            724,
            664,
            664,
            724,
            725,
            664,
            725,
            665,
            665,
            725,
            726,
            665,
            726,
            666,
            666,
            726,
            727,
            666,
            727,
            667,
            667,
            727,
            728,
            667,
            728,
            668,
            668,
            728,
            729,
            668,
            729,
            669,
            669,
            729,
            730,
            669,
            730,
            670,
            670,
            730,
            731,
            671,
            732,
            672,
            672,
            732,
            733,
            672,
            733,
            673,
            673,
            733,
            734,
            673,
            734,
            674,
            674,
            734,
            735,
            674,
            735,
            675,
            675,
            735,
            736,
            675,
            736,
            676,
            676,
            736,
            737,
            676,
            737,
            677,
            677,
            737,
            738,
            677,
            738,
            678,
            678,
            738,
            739,
            678,
            739,
            679,
            679,
            739,
            740,
            679,
            740,
            680,
            680,
            740,
            741,
            680,
            741,
            681,
            681,
            741,
            742,
            681,
            742,
            682,
            682,
            742,
            743,
            682,
            743,
            683,
            683,
            743,
            744,
            683,
            744,
            684,
            684,
            744,
            745,
            684,
            745,
            685,
            685,
            745,
            746,
            685,
            746,
            686,
            686,
            746,
            747,
            686,
            747,
            687,
            687,
            747,
            748,
            687,
            748,
            688,
            688,
            748,
            749,
            688,
            749,
            689,
            689,
            749,
            750,
            689,
            750,
            690,
            690,
            750,
            751,
            690,
            751,
            691,
            691,
            751,
            752,
            691,
            752,
            692,
            692,
            752,
            753,
            692,
            753,
            693,
            693,
            753,
            754,
            693,
            754,
            694,
            694,
            754,
            755,
            694,
            755,
            695,
            695,
            755,
            756,
            695,
            756,
            696,
            696,
            756,
            757,
            696,
            757,
            697,
            697,
            757,
            758,
            697,
            758,
            698,
            698,
            758,
            759,
            698,
            759,
            699,
            699,
            759,
            760,
            699,
            760,
            700,
            700,
            760,
            761,
            700,
            761,
            701,
            701,
            761,
            762,
            701,
            762,
            702,
            702,
            762,
            763,
            702,
            763,
            703,
            703,
            763,
            764,
            703,
            764,
            704,
            704,
            764,
            765,
            704,
            765,
            705,
            705,
            765,
            766,
            705,
            766,
            706,
            706,
            766,
            767,
            706,
            767,
            707,
            707,
            767,
            768,
            707,
            768,
            708,
            708,
            768,
            769,
            708,
            769,
            709,
            709,
            769,
            770,
            709,
            770,
            710,
            710,
            770,
            771,
            710,
            771,
            711,
            711,
            771,
            772,
            711,
            772,
            712,
            712,
            772,
            773,
            712,
            773,
            713,
            713,
            773,
            774,
            713,
            774,
            714,
            714,
            774,
            775,
            714,
            775,
            715,
            715,
            775,
            776,
            715,
            776,
            716,
            716,
            776,
            777,
            716,
            777,
            717,
            717,
            777,
            778,
            717,
            778,
            718,
            718,
            778,
            779,
            718,
            779,
            719,
            719,
            779,
            780,
            719,
            780,
            720,
            720,
            780,
            781,
            720,
            781,
            721,
            721,
            781,
            782,
            721,
            782,
            722,
            722,
            782,
            783,
            722,
            783,
            723,
            723,
            783,
            784,
            723,
            784,
            724,
            724,
            784,
            785,
            724,
            785,
            725,
            725,
            785,
            786,
            725,
            786,
            726,
            726,
            786,
            787,
            726,
            787,
            727,
            727,
            787,
            788,
            727,
            788,
            728,
            728,
            788,
            789,
            728,
            789,
            729,
            729,
            789,
            790,
            729,
            790,
            730,
            730,
            790,
            791,
            730,
            791,
            731,
            731,
            791,
            792,
            732,
            793,
            733,
            733,
            793,
            794,
            733,
            794,
            734,
            734,
            794,
            795,
            734,
            795,
            735,
            735,
            795,
            796,
            735,
            796,
            736,
            736,
            796,
            797,
            736,
            797,
            737,
            737,
            797,
            798,
            737,
            798,
            738,
            738,
            798,
            799,
            738,
            799,
            739,
            739,
            799,
            800,
            739,
            800,
            740,
            740,
            800,
            801,
            740,
            801,
            741,
            741,
            801,
            802,
            741,
            802,
            742,
            742,
            802,
            803,
            742,
            803,
            743,
            743,
            803,
            804,
            743,
            804,
            744,
            744,
            804,
            805,
            744,
            805,
            745,
            745,
            805,
            806,
            745,
            806,
            746,
            746,
            806,
            807,
            746,
            807,
            747,
            747,
            807,
            808,
            747,
            808,
            748,
            748,
            808,
            809,
            748,
            809,
            749,
            749,
            809,
            810,
            749,
            810,
            750,
            750,
            810,
            811,
            750,
            811,
            751,
            751,
            811,
            812,
            751,
            812,
            752,
            752,
            812,
            813,
            752,
            813,
            753,
            753,
            813,
            814,
            753,
            814,
            754,
            754,
            814,
            815,
            754,
            815,
            755,
            755,
            815,
            816,
            755,
            816,
            756,
            756,
            816,
            817,
            756,
            817,
            757,
            757,
            817,
            818,
            757,
            818,
            758,
            758,
            818,
            819,
            758,
            819,
            759,
            759,
            819,
            820,
            759,
            820,
            760,
            760,
            820,
            821,
            760,
            821,
            761,
            761,
            821,
            822,
            761,
            822,
            762,
            762,
            822,
            823,
            762,
            823,
            763,
            763,
            823,
            824,
            763,
            824,
            764,
            764,
            824,
            825,
            764,
            825,
            765,
            765,
            825,
            826,
            765,
            826,
            766,
            766,
            826,
            827,
            766,
            827,
            767,
            767,
            827,
            828,
            767,
            828,
            768,
            768,
            828,
            829,
            768,
            829,
            769,
            769,
            829,
            830,
            769,
            830,
            770,
            770,
            830,
            831,
            770,
            831,
            771,
            771,
            831,
            832,
            771,
            832,
            772,
            772,
            832,
            833,
            772,
            833,
            773,
            773,
            833,
            834,
            773,
            834,
            774,
            774,
            834,
            835,
            774,
            835,
            775,
            775,
            835,
            836,
            775,
            836,
            776,
            776,
            836,
            837,
            776,
            837,
            777,
            777,
            837,
            838,
            777,
            838,
            778,
            778,
            838,
            839,
            778,
            839,
            779,
            779,
            839,
            840,
            779,
            840,
            780,
            780,
            840,
            841,
            780,
            841,
            781,
            781,
            841,
            842,
            781,
            842,
            782,
            782,
            842,
            843,
            782,
            843,
            783,
            783,
            843,
            844,
            783,
            844,
            784,
            784,
            844,
            845,
            784,
            845,
            785,
            785,
            845,
            846,
            785,
            846,
            786,
            786,
            846,
            847,
            786,
            847,
            787,
            787,
            847,
            848,
            787,
            848,
            788,
            788,
            848,
            849,
            788,
            849,
            789,
            789,
            849,
            850,
            789,
            850,
            790,
            790,
            850,
            851,
            790,
            851,
            791,
            791,
            851,
            852,
            791,
            852,
            792,
            792,
            852,
            853,
            793,
            854,
            794,
            794,
            854,
            855,
            794,
            855,
            795,
            795,
            855,
            856,
            795,
            856,
            796,
            796,
            856,
            857,
            796,
            857,
            797,
            797,
            857,
            858,
            797,
            858,
            798,
            798,
            858,
            859,
            798,
            859,
            799,
            799,
            859,
            860,
            799,
            860,
            800,
            800,
            860,
            861,
            800,
            861,
            801,
            801,
            861,
            862,
            801,
            862,
            802,
            802,
            862,
            863,
            802,
            863,
            803,
            803,
            863,
            864,
            803,
            864,
            804,
            804,
            864,
            865,
            804,
            865,
            805,
            805,
            865,
            866,
            805,
            866,
            806,
            806,
            866,
            867,
            806,
            867,
            807,
            807,
            867,
            868,
            807,
            868,
            808,
            808,
            868,
            869,
            808,
            869,
            809,
            809,
            869,
            870,
            809,
            870,
            810,
            810,
            870,
            871,
            810,
            871,
            811,
            811,
            871,
            872,
            811,
            872,
            812,
            812,
            872,
            873,
            812,
            873,
            813,
            813,
            873,
            874,
            813,
            874,
            814,
            814,
            874,
            875,
            814,
            875,
            815,
            815,
            875,
            876,
            815,
            876,
            816,
            816,
            876,
            877,
            816,
            877,
            817,
            817,
            877,
            878,
            817,
            878,
            818,
            818,
            878,
            879,
            818,
            879,
            819,
            819,
            879,
            880,
            819,
            880,
            820,
            820,
            880,
            881,
            820,
            881,
            821,
            821,
            881,
            882,
            821,
            882,
            822,
            822,
            882,
            883,
            822,
            883,
            823,
            823,
            883,
            884,
            823,
            884,
            824,
            824,
            884,
            885,
            824,
            885,
            825,
            825,
            885,
            886,
            825,
            886,
            826,
            826,
            886,
            887,
            826,
            887,
            827,
            827,
            887,
            888,
            827,
            888,
            828,
            828,
            888,
            889,
            828,
            889,
            829,
            829,
            889,
            890,
            829,
            890,
            830,
            830,
            890,
            891,
            830,
            891,
            831,
            831,
            891,
            892,
            831,
            892,
            832,
            832,
            892,
            893,
            832,
            893,
            833,
            833,
            893,
            894,
            833,
            894,
            834,
            834,
            894,
            895,
            834,
            895,
            835,
            835,
            895,
            896,
            835,
            896,
            836,
            836,
            896,
            897,
            836,
            897,
            837,
            837,
            897,
            898,
            837,
            898,
            838,
            838,
            898,
            899,
            838,
            899,
            839,
            839,
            899,
            900,
            839,
            900,
            840,
            840,
            900,
            901,
            840,
            901,
            841,
            841,
            901,
            902,
            841,
            902,
            842,
            842,
            902,
            903,
            842,
            903,
            843,
            843,
            903,
            904,
            843,
            904,
            844,
            844,
            904,
            905,
            844,
            905,
            845,
            845,
            905,
            906,
            845,
            906,
            846,
            846,
            906,
            907,
            846,
            907,
            847,
            847,
            907,
            908,
            847,
            908,
            848,
            848,
            908,
            909,
            848,
            909,
            849,
            849,
            909,
            910,
            849,
            910,
            850,
            850,
            910,
            911,
            850,
            911,
            851,
            851,
            911,
            912,
            851,
            912,
            852,
            852,
            912,
            913,
            852,
            913,
            853,
            853,
            913,
            914,
            854,
            915,
            855,
            855,
            915,
            916,
            855,
            916,
            856,
            856,
            916,
            917,
            856,
            917,
            857,
            857,
            917,
            918,
            857,
            918,
            858,
            858,
            918,
            919,
            858,
            919,
            859,
            859,
            919,
            920,
            859,
            920,
            860,
            860,
            920,
            921,
            860,
            921,
            861,
            861,
            921,
            922,
            861,
            922,
            862,
            862,
            922,
            923,
            862,
            923,
            863,
            863,
            923,
            924,
            863,
            924,
            864,
            864,
            924,
            925,
            864,
            925,
            865,
            865,
            925,
            926,
            865,
            926,
            866,
            866,
            926,
            927,
            866,
            927,
            867,
            867,
            927,
            928,
            867,
            928,
            868,
            868,
            928,
            929,
            868,
            929,
            869,
            869,
            929,
            930,
            869,
            930,
            870,
            870,
            930,
            931,
            870,
            931,
            871,
            871,
            931,
            932,
            871,
            932,
            872,
            872,
            932,
            933,
            872,
            933,
            873,
            873,
            933,
            934,
            873,
            934,
            874,
            874,
            934,
            935,
            874,
            935,
            875,
            875,
            935,
            936,
            875,
            936,
            876,
            876,
            936,
            937,
            876,
            937,
            877,
            877,
            937,
            938,
            877,
            938,
            878,
            878,
            938,
            939,
            878,
            939,
            879,
            879,
            939,
            940,
            879,
            940,
            880,
            880,
            940,
            941,
            880,
            941,
            881,
            881,
            941,
            942,
            881,
            942,
            882,
            882,
            942,
            943,
            882,
            943,
            883,
            883,
            943,
            944,
            883,
            944,
            884,
            884,
            944,
            945,
            884,
            945,
            885,
            885,
            945,
            946,
            885,
            946,
            886,
            886,
            946,
            947,
            886,
            947,
            887,
            887,
            947,
            948,
            887,
            948,
            888,
            888,
            948,
            949,
            888,
            949,
            889,
            889,
            949,
            950,
            889,
            950,
            890,
            890,
            950,
            951,
            890,
            951,
            891,
            891,
            951,
            952,
            891,
            952,
            892,
            892,
            952,
            953,
            892,
            953,
            893,
            893,
            953,
            954,
            893,
            954,
            894,
            894,
            954,
            955,
            894,
            955,
            895,
            895,
            955,
            956,
            895,
            956,
            896,
            896,
            956,
            957,
            896,
            957,
            897,
            897,
            957,
            958,
            897,
            958,
            898,
            898,
            958,
            959,
            898,
            959,
            899,
            899,
            959,
            960,
            899,
            960,
            900,
            900,
            960,
            961,
            900,
            961,
            901,
            901,
            961,
            962,
            901,
            962,
            902,
            902,
            962,
            963,
            902,
            963,
            903,
            903,
            963,
            964,
            903,
            964,
            904,
            904,
            964,
            965,
            904,
            965,
            905,
            905,
            965,
            966,
            905,
            966,
            906,
            906,
            966,
            967,
            906,
            967,
            907,
            907,
            967,
            968,
            907,
            968,
            908,
            908,
            968,
            969,
            908,
            969,
            909,
            909,
            969,
            970,
            909,
            970,
            910,
            910,
            970,
            971,
            910,
            971,
            911,
            911,
            971,
            972,
            911,
            972,
            912,
            912,
            972,
            973,
            912,
            973,
            913,
            913,
            973,
            974,
            913,
            974,
            914,
            914,
            974,
            975,
            915,
            976,
            916,
            916,
            976,
            977,
            916,
            977,
            917,
            917,
            977,
            978,
            917,
            978,
            918,
            918,
            978,
            979,
            918,
            979,
            919,
            919,
            979,
            980,
            919,
            980,
            920,
            920,
            980,
            981,
            920,
            981,
            921,
            921,
            981,
            982,
            921,
            982,
            922,
            922,
            982,
            983,
            922,
            983,
            923,
            923,
            983,
            984,
            923,
            984,
            924,
            924,
            984,
            985,
            924,
            985,
            925,
            925,
            985,
            986,
            925,
            986,
            926,
            926,
            986,
            987,
            926,
            987,
            927,
            927,
            987,
            988,
            927,
            988,
            928,
            928,
            988,
            989,
            928,
            989,
            929,
            929,
            989,
            990,
            929,
            990,
            930,
            930,
            990,
            991,
            930,
            991,
            931,
            931,
            991,
            992,
            931,
            992,
            932,
            932,
            992,
            993,
            932,
            993,
            933,
            933,
            993,
            994,
            933,
            994,
            934,
            934,
            994,
            995,
            934,
            995,
            935,
            935,
            995,
            996,
            935,
            996,
            936,
            936,
            996,
            997,
            936,
            997,
            937,
            937,
            997,
            998,
            937,
            998,
            938,
            938,
            998,
            999,
            938,
            999,
            939,
            939,
            999,
            1000,
            939,
            1000,
            940,
            940,
            1000,
            1001,
            940,
            1001,
            941,
            941,
            1001,
            1002,
            941,
            1002,
            942,
            942,
            1002,
            1003,
            942,
            1003,
            943,
            943,
            1003,
            1004,
            943,
            1004,
            944,
            944,
            1004,
            1005,
            944,
            1005,
            945,
            945,
            1005,
            1006,
            945,
            1006,
            946,
            946,
            1006,
            1007,
            946,
            1007,
            947,
            947,
            1007,
            1008,
            947,
            1008,
            948,
            948,
            1008,
            1009,
            948,
            1009,
            949,
            949,
            1009,
            1010,
            949,
            1010,
            950,
            950,
            1010,
            1011,
            950,
            1011,
            951,
            951,
            1011,
            1012,
            951,
            1012,
            952,
            952,
            1012,
            1013,
            952,
            1013,
            953,
            953,
            1013,
            1014,
            953,
            1014,
            954,
            954,
            1014,
            1015,
            954,
            1015,
            955,
            955,
            1015,
            1016,
            955,
            1016,
            956,
            956,
            1016,
            1017,
            956,
            1017,
            957,
            957,
            1017,
            1018,
            957,
            1018,
            958,
            958,
            1018,
            1019,
            958,
            1019,
            959,
            959,
            1019,
            1020,
            959,
            1020,
            960,
            960,
            1020,
            1021,
            960,
            1021,
            961,
            961,
            1021,
            1022,
            961,
            1022,
            962,
            962,
            1022,
            1023,
            962,
            1023,
            963,
            963,
            1023,
            1024,
            963,
            1024,
            964,
            964,
            1024,
            1025,
            964,
            1025,
            965,
            965,
            1025,
            1026,
            965,
            1026,
            966,
            966,
            1026,
            1027,
            966,
            1027,
            967,
            967,
            1027,
            1028,
            967,
            1028,
            968,
            968,
            1028,
            1029,
            968,
            1029,
            969,
            969,
            1029,
            1030,
            969,
            1030,
            970,
            970,
            1030,
            1031,
            970,
            1031,
            971,
            971,
            1031,
            1032,
            971,
            1032,
            972,
            972,
            1032,
            1033,
            972,
            1033,
            973,
            973,
            1033,
            1034,
            973,
            1034,
            974,
            974,
            1034,
            1035,
            974,
            1035,
            975,
            975,
            1035,
            1036,
            976,
            1037,
            977,
            977,
            1037,
            1038,
            977,
            1038,
            978,
            978,
            1038,
            1039,
            978,
            1039,
            979,
            979,
            1039,
            1040,
            979,
            1040,
            980,
            980,
            1040,
            1041,
            980,
            1041,
            981,
            981,
            1041,
            1042,
            981,
            1042,
            982,
            982,
            1042,
            1043,
            982,
            1043,
            983,
            983,
            1043,
            1044,
            983,
            1044,
            984,
            984,
            1044,
            1045,
            984,
            1045,
            985,
            985,
            1045,
            1046,
            985,
            1046,
            986,
            986,
            1046,
            1047,
            986,
            1047,
            987,
            987,
            1047,
            1048,
            987,
            1048,
            988,
            988,
            1048,
            1049,
            988,
            1049,
            989,
            989,
            1049,
            1050,
            989,
            1050,
            990,
            990,
            1050,
            1051,
            990,
            1051,
            991,
            991,
            1051,
            1052,
            991,
            1052,
            992,
            992,
            1052,
            1053,
            992,
            1053,
            993,
            993,
            1053,
            1054,
            993,
            1054,
            994,
            994,
            1054,
            1055,
            994,
            1055,
            995,
            995,
            1055,
            1056,
            995,
            1056,
            996,
            996,
            1056,
            1057,
            996,
            1057,
            997,
            997,
            1057,
            1058,
            997,
            1058,
            998,
            998,
            1058,
            1059,
            998,
            1059,
            999,
            999,
            1059,
            1060,
            999,
            1060,
            1000,
            1000,
            1060,
            1061,
            1000,
            1061,
            1001,
            1001,
            1061,
            1062,
            1001,
            1062,
            1002,
            1002,
            1062,
            1063,
            1002,
            1063,
            1003,
            1003,
            1063,
            1064,
            1003,
            1064,
            1004,
            1004,
            1064,
            1065,
            1004,
            1065,
            1005,
            1005,
            1065,
            1066,
            1005,
            1066,
            1006,
            1006,
            1066,
            1067,
            1006,
            1067,
            1007,
            1007,
            1067,
            1068,
            1007,
            1068,
            1008,
            1008,
            1068,
            1069,
            1008,
            1069,
            1009,
            1009,
            1069,
            1070,
            1009,
            1070,
            1010,
            1010,
            1070,
            1071,
            1010,
            1071,
            1011,
            1011,
            1071,
            1072,
            1011,
            1072,
            1012,
            1012,
            1072,
            1073,
            1012,
            1073,
            1013,
            1013,
            1073,
            1074,
            1013,
            1074,
            1014,
            1014,
            1074,
            1075,
            1014,
            1075,
            1015,
            1015,
            1075,
            1076,
            1015,
            1076,
            1016,
            1016,
            1076,
            1077,
            1016,
            1077,
            1017,
            1017,
            1077,
            1078,
            1017,
            1078,
            1018,
            1018,
            1078,
            1079,
            1018,
            1079,
            1019,
            1019,
            1079,
            1080,
            1019,
            1080,
            1020,
            1020,
            1080,
            1081,
            1020,
            1081,
            1021,
            1021,
            1081,
            1082,
            1021,
            1082,
            1022,
            1022,
            1082,
            1083,
            1022,
            1083,
            1023,
            1023,
            1083,
            1084,
            1023,
            1084,
            1024,
            1024,
            1084,
            1085,
            1024,
            1085,
            1025,
            1025,
            1085,
            1086,
            1025,
            1086,
            1026,
            1026,
            1086,
            1087,
            1026,
            1087,
            1027,
            1027,
            1087,
            1088,
            1027,
            1088,
            1028,
            1028,
            1088,
            1089,
            1028,
            1089,
            1029,
            1029,
            1089,
            1090,
            1029,
            1090,
            1030,
            1030,
            1090,
            1091,
            1030,
            1091,
            1031,
            1031,
            1091,
            1092,
            1031,
            1092,
            1032,
            1032,
            1092,
            1093,
            1032,
            1093,
            1033,
            1033,
            1093,
            1094,
            1033,
            1094,
            1034,
            1034,
            1094,
            1095,
            1034,
            1095,
            1035,
            1035,
            1095,
            1096,
            1035,
            1096,
            1036,
            1036,
            1096,
            1097,
            1037,
            1098,
            1038,
            1038,
            1098,
            1099,
            1038,
            1099,
            1039,
            1039,
            1099,
            1100,
            1039,
            1100,
            1040,
            1040,
            1100,
            1101,
            1040,
            1101,
            1041,
            1041,
            1101,
            1102,
            1041,
            1102,
            1042,
            1042,
            1102,
            1103,
            1042,
            1103,
            1043,
            1043,
            1103,
            1104,
            1043,
            1104,
            1044,
            1044,
            1104,
            1105,
            1044,
            1105,
            1045,
            1045,
            1105,
            1106,
            1045,
            1106,
            1046,
            1046,
            1106,
            1107,
            1046,
            1107,
            1047,
            1047,
            1107,
            1108,
            1047,
            1108,
            1048,
            1048,
            1108,
            1109,
            1048,
            1109,
            1049,
            1049,
            1109,
            1110,
            1049,
            1110,
            1050,
            1050,
            1110,
            1111,
            1050,
            1111,
            1051,
            1051,
            1111,
            1112,
            1051,
            1112,
            1052,
            1052,
            1112,
            1113,
            1052,
            1113,
            1053,
            1053,
            1113,
            1114,
            1053,
            1114,
            1054,
            1054,
            1114,
            1115,
            1054,
            1115,
            1055,
            1055,
            1115,
            1116,
            1055,
            1116,
            1056,
            1056,
            1116,
            1117,
            1056,
            1117,
            1057,
            1057,
            1117,
            1118,
            1057,
            1118,
            1058,
            1058,
            1118,
            1119,
            1058,
            1119,
            1059,
            1059,
            1119,
            1120,
            1059,
            1120,
            1060,
            1060,
            1120,
            1121,
            1060,
            1121,
            1061,
            1061,
            1121,
            1122,
            1061,
            1122,
            1062,
            1062,
            1122,
            1123,
            1062,
            1123,
            1063,
            1063,
            1123,
            1124,
            1063,
            1124,
            1064,
            1064,
            1124,
            1125,
            1064,
            1125,
            1065,
            1065,
            1125,
            1126,
            1065,
            1126,
            1066,
            1066,
            1126,
            1127,
            1066,
            1127,
            1067,
            1067,
            1127,
            1128,
            1067,
            1128,
            1068,
            1068,
            1128,
            1129,
            1068,
            1129,
            1069,
            1069,
            1129,
            1130,
            1069,
            1130,
            1070,
            1070,
            1130,
            1131,
            1070,
            1131,
            1071,
            1071,
            1131,
            1132,
            1071,
            1132,
            1072,
            1072,
            1132,
            1133,
            1072,
            1133,
            1073,
            1073,
            1133,
            1134,
            1073,
            1134,
            1074,
            1074,
            1134,
            1135,
            1074,
            1135,
            1075,
            1075,
            1135,
            1136,
            1075,
            1136,
            1076,
            1076,
            1136,
            1137,
            1076,
            1137,
            1077,
            1077,
            1137,
            1138,
            1077,
            1138,
            1078,
            1078,
            1138,
            1139,
            1078,
            1139,
            1079,
            1079,
            1139,
            1140,
            1079,
            1140,
            1080,
            1080,
            1140,
            1141,
            1080,
            1141,
            1081,
            1081,
            1141,
            1142,
            1081,
            1142,
            1082,
            1082,
            1142,
            1143,
            1082,
            1143,
            1083,
            1083,
            1143,
            1144,
            1083,
            1144,
            1084,
            1084,
            1144,
            1145,
            1084,
            1145,
            1085,
            1085,
            1145,
            1146,
            1085,
            1146,
            1086,
            1086,
            1146,
            1147,
            1086,
            1147,
            1087,
            1087,
            1147,
            1148,
            1087,
            1148,
            1088,
            1088,
            1148,
            1149,
            1088,
            1149,
            1089,
            1089,
            1149,
            1150,
            1089,
            1150,
            1090,
            1090,
            1150,
            1151,
            1090,
            1151,
            1091,
            1091,
            1151,
            1152,
            1091,
            1152,
            1092,
            1092,
            1152,
            1153,
            1092,
            1153,
            1093,
            1093,
            1153,
            1154,
            1093,
            1154,
            1094,
            1094,
            1154,
            1155,
            1094,
            1155,
            1095,
            1095,
            1155,
            1156,
            1095,
            1156,
            1096,
            1096,
            1156,
            1157,
            1096,
            1157,
            1097,
            1097,
            1157,
            1158,
            1098,
            1159,
            1099,
            1099,
            1159,
            1160,
            1099,
            1160,
            1100,
            1100,
            1160,
            1161,
            1100,
            1161,
            1101,
            1101,
            1161,
            1162,
            1101,
            1162,
            1102,
            1102,
            1162,
            1163,
            1102,
            1163,
            1103,
            1103,
            1163,
            1164,
            1103,
            1164,
            1104,
            1104,
            1164,
            1165,
            1104,
            1165,
            1105,
            1105,
            1165,
            1166,
            1105,
            1166,
            1106,
            1106,
            1166,
            1167,
            1106,
            1167,
            1107,
            1107,
            1167,
            1168,
            1107,
            1168,
            1108,
            1108,
            1168,
            1169,
            1108,
            1169,
            1109,
            1109,
            1169,
            1170,
            1109,
            1170,
            1110,
            1110,
            1170,
            1171,
            1110,
            1171,
            1111,
            1111,
            1171,
            1172,
            1111,
            1172,
            1112,
            1112,
            1172,
            1173,
            1112,
            1173,
            1113,
            1113,
            1173,
            1174,
            1113,
            1174,
            1114,
            1114,
            1174,
            1175,
            1114,
            1175,
            1115,
            1115,
            1175,
            1176,
            1115,
            1176,
            1116,
            1116,
            1176,
            1177,
            1116,
            1177,
            1117,
            1117,
            1177,
            1178,
            1117,
            1178,
            1118,
            1118,
            1178,
            1179,
            1118,
            1179,
            1119,
            1119,
            1179,
            1180,
            1119,
            1180,
            1120,
            1120,
            1180,
            1181,
            1120,
            1181,
            1121,
            1121,
            1181,
            1182,
            1121,
            1182,
            1122,
            1122,
            1182,
            1183,
            1122,
            1183,
            1123,
            1123,
            1183,
            1184,
            1123,
            1184,
            1124,
            1124,
            1184,
            1185,
            1124,
            1185,
            1125,
            1125,
            1185,
            1186,
            1125,
            1186,
            1126,
            1126,
            1186,
            1187,
            1126,
            1187,
            1127,
            1127,
            1187,
            1188,
            1127,
            1188,
            1128,
            1128,
            1188,
            1189,
            1128,
            1189,
            1129,
            1129,
            1189,
            1190,
            1129,
            1190,
            1130,
            1130,
            1190,
            1191,
            1130,
            1191,
            1131,
            1131,
            1191,
            1192,
            1131,
            1192,
            1132,
            1132,
            1192,
            1193,
            1132,
            1193,
            1133,
            1133,
            1193,
            1194,
            1133,
            1194,
            1134,
            1134,
            1194,
            1195,
            1134,
            1195,
            1135,
            1135,
            1195,
            1196,
            1135,
            1196,
            1136,
            1136,
            1196,
            1197,
            1136,
            1197,
            1137,
            1137,
            1197,
            1198,
            1137,
            1198,
            1138,
            1138,
            1198,
            1199,
            1138,
            1199,
            1139,
            1139,
            1199,
            1200,
            1139,
            1200,
            1140,
            1140,
            1200,
            1201,
            1140,
            1201,
            1141,
            1141,
            1201,
            1202,
            1141,
            1202,
            1142,
            1142,
            1202,
            1203,
            1142,
            1203,
            1143,
            1143,
            1203,
            1204,
            1143,
            1204,
            1144,
            1144,
            1204,
            1205,
            1144,
            1205,
            1145,
            1145,
            1205,
            1206,
            1145,
            1206,
            1146,
            1146,
            1206,
            1207,
            1146,
            1207,
            1147,
            1147,
            1207,
            1208,
            1147,
            1208,
            1148,
            1148,
            1208,
            1209,
            1148,
            1209,
            1149,
            1149,
            1209,
            1210,
            1149,
            1210,
            1150,
            1150,
            1210,
            1211,
            1150,
            1211,
            1151,
            1151,
            1211,
            1212,
            1151,
            1212,
            1152,
            1152,
            1212,
            1213,
            1152,
            1213,
            1153,
            1153,
            1213,
            1214,
            1153,
            1214,
            1154,
            1154,
            1214,
            1215,
            1154,
            1215,
            1155,
            1155,
            1215,
            1216,
            1155,
            1216,
            1156,
            1156,
            1216,
            1217,
            1156,
            1217,
            1157,
            1157,
            1217,
            1218,
            1157,
            1218,
            1158,
            1158,
            1218,
            1219,
            1159,
            1220,
            1160,
            1160,
            1220,
            1221,
            1160,
            1221,
            1161,
            1161,
            1221,
            1222,
            1161,
            1222,
            1162,
            1162,
            1222,
            1223,
            1162,
            1223,
            1163,
            1163,
            1223,
            1224,
            1163,
            1224,
            1164,
            1164,
            1224,
            1225,
            1164,
            1225,
            1165,
            1165,
            1225,
            1226,
            1165,
            1226,
            1166,
            1166,
            1226,
            1227,
            1166,
            1227,
            1167,
            1167,
            1227,
            1228,
            1167,
            1228,
            1168,
            1168,
            1228,
            1229,
            1168,
            1229,
            1169,
            1169,
            1229,
            1230,
            1169,
            1230,
            1170,
            1170,
            1230,
            1231,
            1170,
            1231,
            1171,
            1171,
            1231,
            1232,
            1171,
            1232,
            1172,
            1172,
            1232,
            1233,
            1172,
            1233,
            1173,
            1173,
            1233,
            1234,
            1173,
            1234,
            1174,
            1174,
            1234,
            1235,
            1174,
            1235,
            1175,
            1175,
            1235,
            1236,
            1175,
            1236,
            1176,
            1176,
            1236,
            1237,
            1176,
            1237,
            1177,
            1177,
            1237,
            1238,
            1177,
            1238,
            1178,
            1178,
            1238,
            1239,
            1178,
            1239,
            1179,
            1179,
            1239,
            1240,
            1179,
            1240,
            1180,
            1180,
            1240,
            1241,
            1180,
            1241,
            1181,
            1181,
            1241,
            1242,
            1181,
            1242,
            1182,
            1182,
            1242,
            1243,
            1182,
            1243,
            1183,
            1183,
            1243,
            1244,
            1183,
            1244,
            1184,
            1184,
            1244,
            1245,
            1184,
            1245,
            1185,
            1185,
            1245,
            1246,
            1185,
            1246,
            1186,
            1186,
            1246,
            1247,
            1186,
            1247,
            1187,
            1187,
            1247,
            1248,
            1187,
            1248,
            1188,
            1188,
            1248,
            1249,
            1188,
            1249,
            1189,
            1189,
            1249,
            1250,
            1189,
            1250,
            1190,
            1190,
            1250,
            1251,
            1190,
            1251,
            1191,
            1191,
            1251,
            1252,
            1191,
            1252,
            1192,
            1192,
            1252,
            1253,
            1192,
            1253,
            1193,
            1193,
            1253,
            1254,
            1193,
            1254,
            1194,
            1194,
            1254,
            1255,
            1194,
            1255,
            1195,
            1195,
            1255,
            1256,
            1195,
            1256,
            1196,
            1196,
            1256,
            1257,
            1196,
            1257,
            1197,
            1197,
            1257,
            1258,
            1197,
            1258,
            1198,
            1198,
            1258,
            1259,
            1198,
            1259,
            1199,
            1199,
            1259,
            1260,
            1199,
            1260,
            1200,
            1200,
            1260,
            1261,
            1200,
            1261,
            1201,
            1201,
            1261,
            1262,
            1201,
            1262,
            1202,
            1202,
            1262,
            1263,
            1202,
            1263,
            1203,
            1203,
            1263,
            1264,
            1203,
            1264,
            1204,
            1204,
            1264,
            1265,
            1204,
            1265,
            1205,
            1205,
            1265,
            1266,
            1205,
            1266,
            1206,
            1206,
            1266,
            1267,
            1206,
            1267,
            1207,
            1207,
            1267,
            1268,
            1207,
            1268,
            1208,
            1208,
            1268,
            1269,
            1208,
            1269,
            1209,
            1209,
            1269,
            1270,
            1209,
            1270,
            1210,
            1210,
            1270,
            1271,
            1210,
            1271,
            1211,
            1211,
            1271,
            1272,
            1211,
            1272,
            1212,
            1212,
            1272,
            1273,
            1212,
            1273,
            1213,
            1213,
            1273,
            1274,
            1213,
            1274,
            1214,
            1214,
            1274,
            1275,
            1214,
            1275,
            1215,
            1215,
            1275,
            1276,
            1215,
            1276,
            1216,
            1216,
            1276,
            1277,
            1216,
            1277,
            1217,
            1217,
            1277,
            1278,
            1217,
            1278,
            1218,
            1218,
            1278,
            1279,
            1218,
            1279,
            1219,
            1219,
            1279,
            1280,
            1220,
            1281,
            1221,
            1221,
            1281,
            1282,
            1221,
            1282,
            1222,
            1222,
            1282,
            1283,
            1222,
            1283,
            1223,
            1223,
            1283,
            1284,
            1223,
            1284,
            1224,
            1224,
            1284,
            1285,
            1224,
            1285,
            1225,
            1225,
            1285,
            1286,
            1225,
            1286,
            1226,
            1226,
            1286,
            1287,
            1226,
            1287,
            1227,
            1227,
            1287,
            1288,
            1227,
            1288,
            1228,
            1228,
            1288,
            1289,
            1228,
            1289,
            1229,
            1229,
            1289,
            1290,
            1229,
            1290,
            1230,
            1230,
            1290,
            1291,
            1230,
            1291,
            1231,
            1231,
            1291,
            1292,
            1231,
            1292,
            1232,
            1232,
            1292,
            1293,
            1232,
            1293,
            1233,
            1233,
            1293,
            1294,
            1233,
            1294,
            1234,
            1234,
            1294,
            1295,
            1234,
            1295,
            1235,
            1235,
            1295,
            1296,
            1235,
            1296,
            1236,
            1236,
            1296,
            1297,
            1236,
            1297,
            1237,
            1237,
            1297,
            1298,
            1237,
            1298,
            1238,
            1238,
            1298,
            1299,
            1238,
            1299,
            1239,
            1239,
            1299,
            1300,
            1239,
            1300,
            1240,
            1240,
            1300,
            1301,
            1240,
            1301,
            1241,
            1241,
            1301,
            1302,
            1241,
            1302,
            1242,
            1242,
            1302,
            1303,
            1242,
            1303,
            1243,
            1243,
            1303,
            1304,
            1243,
            1304,
            1244,
            1244,
            1304,
            1305,
            1244,
            1305,
            1245,
            1245,
            1305,
            1306,
            1245,
            1306,
            1246,
            1246,
            1306,
            1307,
            1246,
            1307,
            1247,
            1247,
            1307,
            1308,
            1247,
            1308,
            1248,
            1248,
            1308,
            1309,
            1248,
            1309,
            1249,
            1249,
            1309,
            1310,
            1249,
            1310,
            1250,
            1250,
            1310,
            1311,
            1250,
            1311,
            1251,
            1251,
            1311,
            1312,
            1251,
            1312,
            1252,
            1252,
            1312,
            1313,
            1252,
            1313,
            1253,
            1253,
            1313,
            1314,
            1253,
            1314,
            1254,
            1254,
            1314,
            1315,
            1254,
            1315,
            1255,
            1255,
            1315,
            1316,
            1255,
            1316,
            1256,
            1256,
            1316,
            1317,
            1256,
            1317,
            1257,
            1257,
            1317,
            1318,
            1257,
            1318,
            1258,
            1258,
            1318,
            1319,
            1258,
            1319,
            1259,
            1259,
            1319,
            1320,
            1259,
            1320,
            1260,
            1260,
            1320,
            1321,
            1260,
            1321,
            1261,
            1261,
            1321,
            1322,
            1261,
            1322,
            1262,
            1262,
            1322,
            1323,
            1262,
            1323,
            1263,
            1263,
            1323,
            1324,
            1263,
            1324,
            1264,
            1264,
            1324,
            1325,
            1264,
            1325,
            1265,
            1265,
            1325,
            1326,
            1265,
            1326,
            1266,
            1266,
            1326,
            1327,
            1266,
            1327,
            1267,
            1267,
            1327,
            1328,
            1267,
            1328,
            1268,
            1268,
            1328,
            1329,
            1268,
            1329,
            1269,
            1269,
            1329,
            1330,
            1269,
            1330,
            1270,
            1270,
            1330,
            1331,
            1270,
            1331,
            1271,
            1271,
            1331,
            1332,
            1271,
            1332,
            1272,
            1272,
            1332,
            1333,
            1272,
            1333,
            1273,
            1273,
            1333,
            1334,
            1273,
            1334,
            1274,
            1274,
            1334,
            1335,
            1274,
            1335,
            1275,
            1275,
            1335,
            1336,
            1275,
            1336,
            1276,
            1276,
            1336,
            1337,
            1276,
            1337,
            1277,
            1277,
            1337,
            1338,
            1277,
            1338,
            1278,
            1278,
            1338,
            1339,
            1278,
            1339,
            1279,
            1279,
            1339,
            1340,
            1279,
            1340,
            1280,
            1280,
            1340,
            1341,
            1281,
            1342,
            1282,
            1282,
            1342,
            1343,
            1282,
            1343,
            1283,
            1283,
            1343,
            1344,
            1283,
            1344,
            1284,
            1284,
            1344,
            1345,
            1284,
            1345,
            1285,
            1285,
            1345,
            1346,
            1285,
            1346,
            1286,
            1286,
            1346,
            1347,
            1286,
            1347,
            1287,
            1287,
            1347,
            1348,
            1287,
            1348,
            1288,
            1288,
            1348,
            1349,
            1288,
            1349,
            1289,
            1289,
            1349,
            1350,
            1289,
            1350,
            1290,
            1290,
            1350,
            1351,
            1290,
            1351,
            1291,
            1291,
            1351,
            1352,
            1291,
            1352,
            1292,
            1292,
            1352,
            1353,
            1292,
            1353,
            1293,
            1293,
            1353,
            1354,
            1293,
            1354,
            1294,
            1294,
            1354,
            1355,
            1294,
            1355,
            1295,
            1295,
            1355,
            1356,
            1295,
            1356,
            1296,
            1296,
            1356,
            1357,
            1296,
            1357,
            1297,
            1297,
            1357,
            1358,
            1297,
            1358,
            1298,
            1298,
            1358,
            1359,
            1298,
            1359,
            1299,
            1299,
            1359,
            1360,
            1299,
            1360,
            1300,
            1300,
            1360,
            1361,
            1300,
            1361,
            1301,
            1301,
            1361,
            1362,
            1301,
            1362,
            1302,
            1302,
            1362,
            1363,
            1302,
            1363,
            1303,
            1303,
            1363,
            1364,
            1303,
            1364,
            1304,
            1304,
            1364,
            1365,
            1304,
            1365,
            1305,
            1305,
            1365,
            1366,
            1305,
            1366,
            1306,
            1306,
            1366,
            1367,
            1306,
            1367,
            1307,
            1307,
            1367,
            1368,
            1307,
            1368,
            1308,
            1308,
            1368,
            1369,
            1308,
            1369,
            1309,
            1309,
            1369,
            1370,
            1309,
            1370,
            1310,
            1310,
            1370,
            1371,
            1310,
            1371,
            1311,
            1311,
            1371,
            1372,
            1311,
            1372,
            1312,
            1312,
            1372,
            1373,
            1312,
            1373,
            1313,
            1313,
            1373,
            1374,
            1313,
            1374,
            1314,
            1314,
            1374,
            1375,
            1314,
            1375,
            1315,
            1315,
            1375,
            1376,
            1315,
            1376,
            1316,
            1316,
            1376,
            1377,
            1316,
            1377,
            1317,
            1317,
            1377,
            1378,
            1317,
            1378,
            1318,
            1318,
            1378,
            1379,
            1318,
            1379,
            1319,
            1319,
            1379,
            1380,
            1319,
            1380,
            1320,
            1320,
            1380,
            1381,
            1320,
            1381,
            1321,
            1321,
            1381,
            1382,
            1321,
            1382,
            1322,
            1322,
            1382,
            1383,
            1322,
            1383,
            1323,
            1323,
            1383,
            1384,
            1323,
            1384,
            1324,
            1324,
            1384,
            1385,
            1324,
            1385,
            1325,
            1325,
            1385,
            1386,
            1325,
            1386,
            1326,
            1326,
            1386,
            1387,
            1326,
            1387,
            1327,
            1327,
            1387,
            1388,
            1327,
            1388,
            1328,
            1328,
            1388,
            1389,
            1328,
            1389,
            1329,
            1329,
            1389,
            1390,
            1329,
            1390,
            1330,
            1330,
            1390,
            1391,
            1330,
            1391,
            1331,
            1331,
            1391,
            1392,
            1331,
            1392,
            1332,
            1332,
            1392,
            1393,
            1332,
            1393,
            1333,
            1333,
            1393,
            1394,
            1333,
            1394,
            1334,
            1334,
            1394,
            1395,
            1334,
            1395,
            1335,
            1335,
            1395,
            1396,
            1335,
            1396,
            1336,
            1336,
            1396,
            1397,
            1336,
            1397,
            1337,
            1337,
            1397,
            1398,
            1337,
            1398,
            1338,
            1338,
            1398,
            1399,
            1338,
            1399,
            1339,
            1339,
            1399,
            1400,
            1339,
            1400,
            1340,
            1340,
            1400,
            1401,
            1340,
            1401,
            1341,
            1341,
            1401,
            1402,
            1342,
            1403,
            1343,
            1343,
            1403,
            1404,
            1343,
            1404,
            1344,
            1344,
            1404,
            1405,
            1344,
            1405,
            1345,
            1345,
            1405,
            1406,
            1345,
            1406,
            1346,
            1346,
            1406,
            1407,
            1346,
            1407,
            1347,
            1347,
            1407,
            1408,
            1347,
            1408,
            1348,
            1348,
            1408,
            1409,
            1348,
            1409,
            1349,
            1349,
            1409,
            1410,
            1349,
            1410,
            1350,
            1350,
            1410,
            1411,
            1350,
            1411,
            1351,
            1351,
            1411,
            1412,
            1351,
            1412,
            1352,
            1352,
            1412,
            1413,
            1352,
            1413,
            1353,
            1353,
            1413,
            1414,
            1353,
            1414,
            1354,
            1354,
            1414,
            1415,
            1354,
            1415,
            1355,
            1355,
            1415,
            1416,
            1355,
            1416,
            1356,
            1356,
            1416,
            1417,
            1356,
            1417,
            1357,
            1357,
            1417,
            1418,
            1357,
            1418,
            1358,
            1358,
            1418,
            1419,
            1358,
            1419,
            1359,
            1359,
            1419,
            1420,
            1359,
            1420,
            1360,
            1360,
            1420,
            1421,
            1360,
            1421,
            1361,
            1361,
            1421,
            1422,
            1361,
            1422,
            1362,
            1362,
            1422,
            1423,
            1362,
            1423,
            1363,
            1363,
            1423,
            1424,
            1363,
            1424,
            1364,
            1364,
            1424,
            1425,
            1364,
            1425,
            1365,
            1365,
            1425,
            1426,
            1365,
            1426,
            1366,
            1366,
            1426,
            1427,
            1366,
            1427,
            1367,
            1367,
            1427,
            1428,
            1367,
            1428,
            1368,
            1368,
            1428,
            1429,
            1368,
            1429,
            1369,
            1369,
            1429,
            1430,
            1369,
            1430,
            1370,
            1370,
            1430,
            1431,
            1370,
            1431,
            1371,
            1371,
            1431,
            1432,
            1371,
            1432,
            1372,
            1372,
            1432,
            1433,
            1372,
            1433,
            1373,
            1373,
            1433,
            1434,
            1373,
            1434,
            1374,
            1374,
            1434,
            1435,
            1374,
            1435,
            1375,
            1375,
            1435,
            1436,
            1375,
            1436,
            1376,
            1376,
            1436,
            1437,
            1376,
            1437,
            1377,
            1377,
            1437,
            1438,
            1377,
            1438,
            1378,
            1378,
            1438,
            1439,
            1378,
            1439,
            1379,
            1379,
            1439,
            1440,
            1379,
            1440,
            1380,
            1380,
            1440,
            1441,
            1380,
            1441,
            1381,
            1381,
            1441,
            1442,
            1381,
            1442,
            1382,
            1382,
            1442,
            1443,
            1382,
            1443,
            1383,
            1383,
            1443,
            1444,
            1383,
            1444,
            1384,
            1384,
            1444,
            1445,
            1384,
            1445,
            1385,
            1385,
            1445,
            1446,
            1385,
            1446,
            1386,
            1386,
            1446,
            1447,
            1386,
            1447,
            1387,
            1387,
            1447,
            1448,
            1387,
            1448,
            1388,
            1388,
            1448,
            1449,
            1388,
            1449,
            1389,
            1389,
            1449,
            1450,
            1389,
            1450,
            1390,
            1390,
            1450,
            1451,
            1390,
            1451,
            1391,
            1391,
            1451,
            1452,
            1391,
            1452,
            1392,
            1392,
            1452,
            1453,
            1392,
            1453,
            1393,
            1393,
            1453,
            1454,
            1393,
            1454,
            1394,
            1394,
            1454,
            1455,
            1394,
            1455,
            1395,
            1395,
            1455,
            1456,
            1395,
            1456,
            1396,
            1396,
            1456,
            1457,
            1396,
            1457,
            1397,
            1397,
            1457,
            1458,
            1397,
            1458,
            1398,
            1398,
            1458,
            1459,
            1398,
            1459,
            1399,
            1399,
            1459,
            1460,
            1399,
            1460,
            1400,
            1400,
            1460,
            1461,
            1400,
            1461,
            1401,
            1401,
            1461,
            1462,
            1401,
            1462,
            1402,
            1402,
            1462,
            1463,
            1403,
            1464,
            1404,
            1404,
            1464,
            1465,
            1404,
            1465,
            1405,
            1405,
            1465,
            1466,
            1405,
            1466,
            1406,
            1406,
            1466,
            1467,
            1406,
            1467,
            1407,
            1407,
            1467,
            1468,
            1407,
            1468,
            1408,
            1408,
            1468,
            1469,
            1408,
            1469,
            1409,
            1409,
            1469,
            1470,
            1409,
            1470,
            1410,
            1410,
            1470,
            1471,
            1410,
            1471,
            1411,
            1411,
            1471,
            1472,
            1411,
            1472,
            1412,
            1412,
            1472,
            1473,
            1412,
            1473,
            1413,
            1413,
            1473,
            1474,
            1413,
            1474,
            1414,
            1414,
            1474,
            1475,
            1414,
            1475,
            1415,
            1415,
            1475,
            1476,
            1415,
            1476,
            1416,
            1416,
            1476,
            1477,
            1416,
            1477,
            1417,
            1417,
            1477,
            1478,
            1417,
            1478,
            1418,
            1418,
            1478,
            1479,
            1418,
            1479,
            1419,
            1419,
            1479,
            1480,
            1419,
            1480,
            1420,
            1420,
            1480,
            1481,
            1420,
            1481,
            1421,
            1421,
            1481,
            1482,
            1421,
            1482,
            1422,
            1422,
            1482,
            1483,
            1422,
            1483,
            1423,
            1423,
            1483,
            1484,
            1423,
            1484,
            1424,
            1424,
            1484,
            1485,
            1424,
            1485,
            1425,
            1425,
            1485,
            1486,
            1425,
            1486,
            1426,
            1426,
            1486,
            1487,
            1426,
            1487,
            1427,
            1427,
            1487,
            1488,
            1427,
            1488,
            1428,
            1428,
            1488,
            1489,
            1428,
            1489,
            1429,
            1429,
            1489,
            1490,
            1429,
            1490,
            1430,
            1430,
            1490,
            1491,
            1430,
            1491,
            1431,
            1431,
            1491,
            1492,
            1431,
            1492,
            1432,
            1432,
            1492,
            1493,
            1432,
            1493,
            1433,
            1433,
            1493,
            1494,
            1433,
            1494,
            1434,
            1434,
            1494,
            1495,
            1434,
            1495,
            1435,
            1435,
            1495,
            1496,
            1435,
            1496,
            1436,
            1436,
            1496,
            1497,
            1436,
            1497,
            1437,
            1437,
            1497,
            1498,
            1437,
            1498,
            1438,
            1438,
            1498,
            1499,
            1438,
            1499,
            1439,
            1439,
            1499,
            1500,
            1439,
            1500,
            1440,
            1440,
            1500,
            1501,
            1440,
            1501,
            1441,
            1441,
            1501,
            1502,
            1441,
            1502,
            1442,
            1442,
            1502,
            1503,
            1442,
            1503,
            1443,
            1443,
            1503,
            1504,
            1443,
            1504,
            1444,
            1444,
            1504,
            1505,
            1444,
            1505,
            1445,
            1445,
            1505,
            1506,
            1445,
            1506,
            1446,
            1446,
            1506,
            1507,
            1446,
            1507,
            1447,
            1447,
            1507,
            1508,
            1447,
            1508,
            1448,
            1448,
            1508,
            1509,
            1448,
            1509,
            1449,
            1449,
            1509,
            1510,
            1449,
            1510,
            1450,
            1450,
            1510,
            1511,
            1450,
            1511,
            1451,
            1451,
            1511,
            1512,
            1451,
            1512,
            1452,
            1452,
            1512,
            1513,
            1452,
            1513,
            1453,
            1453,
            1513,
            1514,
            1453,
            1514,
            1454,
            1454,
            1514,
            1515,
            1454,
            1515,
            1455,
            1455,
            1515,
            1516,
            1455,
            1516,
            1456,
            1456,
            1516,
            1517,
            1456,
            1517,
            1457,
            1457,
            1517,
            1518,
            1457,
            1518,
            1458,
            1458,
            1518,
            1519,
            1458,
            1519,
            1459,
            1459,
            1519,
            1520,
            1459,
            1520,
            1460,
            1460,
            1520,
            1521,
            1460,
            1521,
            1461,
            1461,
            1521,
            1522,
            1461,
            1522,
            1462,
            1462,
            1522,
            1523,
            1462,
            1523,
            1463,
            1463,
            1523,
            1524,
            1464,
            1525,
            1465,
            1465,
            1525,
            1526,
            1465,
            1526,
            1466,
            1466,
            1526,
            1527,
            1466,
            1527,
            1467,
            1467,
            1527,
            1528,
            1467,
            1528,
            1468,
            1468,
            1528,
            1529,
            1468,
            1529,
            1469,
            1469,
            1529,
            1530,
            1469,
            1530,
            1470,
            1470,
            1530,
            1531,
            1470,
            1531,
            1471,
            1471,
            1531,
            1532,
            1471,
            1532,
            1472,
            1472,
            1532,
            1533,
            1472,
            1533,
            1473,
            1473,
            1533,
            1534,
            1473,
            1534,
            1474,
            1474,
            1534,
            1535,
            1474,
            1535,
            1475,
            1475,
            1535,
            1536,
            1475,
            1536,
            1476,
            1476,
            1536,
            1537,
            1476,
            1537,
            1477,
            1477,
            1537,
            1538,
            1477,
            1538,
            1478,
            1478,
            1538,
            1539,
            1478,
            1539,
            1479,
            1479,
            1539,
            1540,
            1479,
            1540,
            1480,
            1480,
            1540,
            1541,
            1480,
            1541,
            1481,
            1481,
            1541,
            1542,
            1481,
            1542,
            1482,
            1482,
            1542,
            1543,
            1482,
            1543,
            1483,
            1483,
            1543,
            1544,
            1483,
            1544,
            1484,
            1484,
            1544,
            1545,
            1484,
            1545,
            1485,
            1485,
            1545,
            1546,
            1485,
            1546,
            1486,
            1486,
            1546,
            1547,
            1486,
            1547,
            1487,
            1487,
            1547,
            1548,
            1487,
            1548,
            1488,
            1488,
            1548,
            1549,
            1488,
            1549,
            1489,
            1489,
            1549,
            1550,
            1489,
            1550,
            1490,
            1490,
            1550,
            1551,
            1490,
            1551,
            1491,
            1491,
            1551,
            1552,
            1491,
            1552,
            1492,
            1492,
            1552,
            1553,
            1492,
            1553,
            1493,
            1493,
            1553,
            1554,
            1493,
            1554,
            1494,
            1494,
            1554,
            1555,
            1494,
            1555,
            1495,
            1495,
            1555,
            1556,
            1495,
            1556,
            1496,
            1496,
            1556,
            1557,
            1496,
            1557,
            1497,
            1497,
            1557,
            1558,
            1497,
            1558,
            1498,
            1498,
            1558,
            1559,
            1498,
            1559,
            1499,
            1499,
            1559,
            1560,
            1499,
            1560,
            1500,
            1500,
            1560,
            1561,
            1500,
            1561,
            1501,
            1501,
            1561,
            1562,
            1501,
            1562,
            1502,
            1502,
            1562,
            1563,
            1502,
            1563,
            1503,
            1503,
            1563,
            1564,
            1503,
            1564,
            1504,
            1504,
            1564,
            1565,
            1504,
            1565,
            1505,
            1505,
            1565,
            1566,
            1505,
            1566,
            1506,
            1506,
            1566,
            1567,
            1506,
            1567,
            1507,
            1507,
            1567,
            1568,
            1507,
            1568,
            1508,
            1508,
            1568,
            1569,
            1508,
            1569,
            1509,
            1509,
            1569,
            1570,
            1509,
            1570,
            1510,
            1510,
            1570,
            1571,
            1510,
            1571,
            1511,
            1511,
            1571,
            1572,
            1511,
            1572,
            1512,
            1512,
            1572,
            1573,
            1512,
            1573,
            1513,
            1513,
            1573,
            1574,
            1513,
            1574,
            1514,
            1514,
            1574,
            1575,
            1514,
            1575,
            1515,
            1515,
            1575,
            1576,
            1515,
            1576,
            1516,
            1516,
            1576,
            1577,
            1516,
            1577,
            1517,
            1517,
            1577,
            1578,
            1517,
            1578,
            1518,
            1518,
            1578,
            1579,
            1518,
            1579,
            1519,
            1519,
            1579,
            1580,
            1519,
            1580,
            1520,
            1520,
            1580,
            1581,
            1520,
            1581,
            1521,
            1521,
            1581,
            1582,
            1521,
            1582,
            1522,
            1522,
            1582,
            1583,
            1522,
            1583,
            1523,
            1523,
            1583,
            1584,
            1523,
            1584,
            1524,
            1524,
            1584,
            1585,
            1525,
            1586,
            1526,
            1526,
            1586,
            1587,
            1526,
            1587,
            1527,
            1527,
            1587,
            1588,
            1527,
            1588,
            1528,
            1528,
            1588,
            1589,
            1528,
            1589,
            1529,
            1529,
            1589,
            1590,
            1529,
            1590,
            1530,
            1530,
            1590,
            1591,
            1530,
            1591,
            1531,
            1531,
            1591,
            1592,
            1531,
            1592,
            1532,
            1532,
            1592,
            1593,
            1532,
            1593,
            1533,
            1533,
            1593,
            1594,
            1533,
            1594,
            1534,
            1534,
            1594,
            1595,
            1534,
            1595,
            1535,
            1535,
            1595,
            1596,
            1535,
            1596,
            1536,
            1536,
            1596,
            1597,
            1536,
            1597,
            1537,
            1537,
            1597,
            1598,
            1537,
            1598,
            1538,
            1538,
            1598,
            1599,
            1538,
            1599,
            1539,
            1539,
            1599,
            1600,
            1539,
            1600,
            1540,
            1540,
            1600,
            1601,
            1540,
            1601,
            1541,
            1541,
            1601,
            1602,
            1541,
            1602,
            1542,
            1542,
            1602,
            1603,
            1542,
            1603,
            1543,
            1543,
            1603,
            1604,
            1543,
            1604,
            1544,
            1544,
            1604,
            1605,
            1544,
            1605,
            1545,
            1545,
            1605,
            1606,
            1545,
            1606,
            1546,
            1546,
            1606,
            1607,
            1546,
            1607,
            1547,
            1547,
            1607,
            1608,
            1547,
            1608,
            1548,
            1548,
            1608,
            1609,
            1548,
            1609,
            1549,
            1549,
            1609,
            1610,
            1549,
            1610,
            1550,
            1550,
            1610,
            1611,
            1550,
            1611,
            1551,
            1551,
            1611,
            1612,
            1551,
            1612,
            1552,
            1552,
            1612,
            1613,
            1552,
            1613,
            1553,
            1553,
            1613,
            1614,
            1553,
            1614,
            1554,
            1554,
            1614,
            1615,
            1554,
            1615,
            1555,
            1555,
            1615,
            1616,
            1555,
            1616,
            1556,
            1556,
            1616,
            1617,
            1556,
            1617,
            1557,
            1557,
            1617,
            1618,
            1557,
            1618,
            1558,
            1558,
            1618,
            1619,
            1558,
            1619,
            1559,
            1559,
            1619,
            1620,
            1559,
            1620,
            1560,
            1560,
            1620,
            1621,
            1560,
            1621,
            1561,
            1561,
            1621,
            1622,
            1561,
            1622,
            1562,
            1562,
            1622,
            1623,
            1562,
            1623,
            1563,
            1563,
            1623,
            1624,
            1563,
            1624,
            1564,
            1564,
            1624,
            1625,
            1564,
            1625,
            1565,
            1565,
            1625,
            1626,
            1565,
            1626,
            1566,
            1566,
            1626,
            1627,
            1566,
            1627,
            1567,
            1567,
            1627,
            1628,
            1567,
            1628,
            1568,
            1568,
            1628,
            1629,
            1568,
            1629,
            1569,
            1569,
            1629,
            1630,
            1569,
            1630,
            1570,
            1570,
            1630,
            1631,
            1570,
            1631,
            1571,
            1571,
            1631,
            1632,
            1571,
            1632,
            1572,
            1572,
            1632,
            1633,
            1572,
            1633,
            1573,
            1573,
            1633,
            1634,
            1573,
            1634,
            1574,
            1574,
            1634,
            1635,
            1574,
            1635,
            1575,
            1575,
            1635,
            1636,
            1575,
            1636,
            1576,
            1576,
            1636,
            1637,
            1576,
            1637,
            1577,
            1577,
            1637,
            1638,
            1577,
            1638,
            1578,
            1578,
            1638,
            1639,
            1578,
            1639,
            1579,
            1579,
            1639,
            1640,
            1579,
            1640,
            1580,
            1580,
            1640,
            1641,
            1580,
            1641,
            1581,
            1581,
            1641,
            1642,
            1581,
            1642,
            1582,
            1582,
            1642,
            1643,
            1582,
            1643,
            1583,
            1583,
            1643,
            1644,
            1583,
            1644,
            1584,
            1584,
            1644,
            1645,
            1584,
            1645,
            1585,
            1585,
            1645,
            1646,
            1586,
            1647,
            1587,
            1587,
            1647,
            1648,
            1587,
            1648,
            1588,
            1588,
            1648,
            1649,
            1588,
            1649,
            1589,
            1589,
            1649,
            1650,
            1589,
            1650,
            1590,
            1590,
            1650,
            1651,
            1590,
            1651,
            1591,
            1591,
            1651,
            1652,
            1591,
            1652,
            1592,
            1592,
            1652,
            1653,
            1592,
            1653,
            1593,
            1593,
            1653,
            1654,
            1593,
            1654,
            1594,
            1594,
            1654,
            1655,
            1594,
            1655,
            1595,
            1595,
            1655,
            1656,
            1595,
            1656,
            1596,
            1596,
            1656,
            1657,
            1596,
            1657,
            1597,
            1597,
            1657,
            1658,
            1597,
            1658,
            1598,
            1598,
            1658,
            1659,
            1598,
            1659,
            1599,
            1599,
            1659,
            1660,
            1599,
            1660,
            1600,
            1600,
            1660,
            1661,
            1600,
            1661,
            1601,
            1601,
            1661,
            1662,
            1601,
            1662,
            1602,
            1602,
            1662,
            1663,
            1602,
            1663,
            1603,
            1603,
            1663,
            1664,
            1603,
            1664,
            1604,
            1604,
            1664,
            1665,
            1604,
            1665,
            1605,
            1605,
            1665,
            1666,
            1605,
            1666,
            1606,
            1606,
            1666,
            1667,
            1606,
            1667,
            1607,
            1607,
            1667,
            1668,
            1607,
            1668,
            1608,
            1608,
            1668,
            1669,
            1608,
            1669,
            1609,
            1609,
            1669,
            1670,
            1609,
            1670,
            1610,
            1610,
            1670,
            1671,
            1610,
            1671,
            1611,
            1611,
            1671,
            1672,
            1611,
            1672,
            1612,
            1612,
            1672,
            1673,
            1612,
            1673,
            1613,
            1613,
            1673,
            1674,
            1613,
            1674,
            1614,
            1614,
            1674,
            1675,
            1614,
            1675,
            1615,
            1615,
            1675,
            1676,
            1615,
            1676,
            1616,
            1616,
            1676,
            1677,
            1616,
            1677,
            1617,
            1617,
            1677,
            1678,
            1617,
            1678,
            1618,
            1618,
            1678,
            1679,
            1618,
            1679,
            1619,
            1619,
            1679,
            1680,
            1619,
            1680,
            1620,
            1620,
            1680,
            1681,
            1620,
            1681,
            1621,
            1621,
            1681,
            1682,
            1621,
            1682,
            1622,
            1622,
            1682,
            1683,
            1622,
            1683,
            1623,
            1623,
            1683,
            1684,
            1623,
            1684,
            1624,
            1624,
            1684,
            1685,
            1624,
            1685,
            1625,
            1625,
            1685,
            1686,
            1625,
            1686,
            1626,
            1626,
            1686,
            1687,
            1626,
            1687,
            1627,
            1627,
            1687,
            1688,
            1627,
            1688,
            1628,
            1628,
            1688,
            1689,
            1628,
            1689,
            1629,
            1629,
            1689,
            1690,
            1629,
            1690,
            1630,
            1630,
            1690,
            1691,
            1630,
            1691,
            1631,
            1631,
            1691,
            1692,
            1631,
            1692,
            1632,
            1632,
            1692,
            1693,
            1632,
            1693,
            1633,
            1633,
            1693,
            1694,
            1633,
            1694,
            1634,
            1634,
            1694,
            1695,
            1634,
            1695,
            1635,
            1635,
            1695,
            1696,
            1635,
            1696,
            1636,
            1636,
            1696,
            1697,
            1636,
            1697,
            1637,
            1637,
            1697,
            1698,
            1637,
            1698,
            1638,
            1638,
            1698,
            1699,
            1638,
            1699,
            1639,
            1639,
            1699,
            1700,
            1639,
            1700,
            1640,
            1640,
            1700,
            1701,
            1640,
            1701,
            1641,
            1641,
            1701,
            1702,
            1641,
            1702,
            1642,
            1642,
            1702,
            1703,
            1642,
            1703,
            1643,
            1643,
            1703,
            1704,
            1643,
            1704,
            1644,
            1644,
            1704,
            1705,
            1644,
            1705,
            1645,
            1645,
            1705,
            1706,
            1645,
            1706,
            1646,
            1646,
            1706,
            1707,
            1647,
            1708,
            1648,
            1648,
            1708,
            1709,
            1648,
            1709,
            1649,
            1649,
            1709,
            1710,
            1649,
            1710,
            1650,
            1650,
            1710,
            1711,
            1650,
            1711,
            1651,
            1651,
            1711,
            1712,
            1651,
            1712,
            1652,
            1652,
            1712,
            1713,
            1652,
            1713,
            1653,
            1653,
            1713,
            1714,
            1653,
            1714,
            1654,
            1654,
            1714,
            1715,
            1654,
            1715,
            1655,
            1655,
            1715,
            1716,
            1655,
            1716,
            1656,
            1656,
            1716,
            1717,
            1656,
            1717,
            1657,
            1657,
            1717,
            1718,
            1657,
            1718,
            1658,
            1658,
            1718,
            1719,
            1658,
            1719,
            1659,
            1659,
            1719,
            1720,
            1659,
            1720,
            1660,
            1660,
            1720,
            1721,
            1660,
            1721,
            1661,
            1661,
            1721,
            1722,
            1661,
            1722,
            1662,
            1662,
            1722,
            1723,
            1662,
            1723,
            1663,
            1663,
            1723,
            1724,
            1663,
            1724,
            1664,
            1664,
            1724,
            1725,
            1664,
            1725,
            1665,
            1665,
            1725,
            1726,
            1665,
            1726,
            1666,
            1666,
            1726,
            1727,
            1666,
            1727,
            1667,
            1667,
            1727,
            1728,
            1667,
            1728,
            1668,
            1668,
            1728,
            1729,
            1668,
            1729,
            1669,
            1669,
            1729,
            1730,
            1669,
            1730,
            1670,
            1670,
            1730,
            1731,
            1670,
            1731,
            1671,
            1671,
            1731,
            1732,
            1671,
            1732,
            1672,
            1672,
            1732,
            1733,
            1672,
            1733,
            1673,
            1673,
            1733,
            1734,
            1673,
            1734,
            1674,
            1674,
            1734,
            1735,
            1674,
            1735,
            1675,
            1675,
            1735,
            1736,
            1675,
            1736,
            1676,
            1676,
            1736,
            1737,
            1676,
            1737,
            1677,
            1677,
            1737,
            1738,
            1677,
            1738,
            1678,
            1678,
            1738,
            1739,
            1678,
            1739,
            1679,
            1679,
            1739,
            1740,
            1679,
            1740,
            1680,
            1680,
            1740,
            1741,
            1680,
            1741,
            1681,
            1681,
            1741,
            1742,
            1681,
            1742,
            1682,
            1682,
            1742,
            1743,
            1682,
            1743,
            1683,
            1683,
            1743,
            1744,
            1683,
            1744,
            1684,
            1684,
            1744,
            1745,
            1684,
            1745,
            1685,
            1685,
            1745,
            1746,
            1685,
            1746,
            1686,
            1686,
            1746,
            1747,
            1686,
            1747,
            1687,
            1687,
            1747,
            1748,
            1687,
            1748,
            1688,
            1688,
            1748,
            1749,
            1688,
            1749,
            1689,
            1689,
            1749,
            1750,
            1689,
            1750,
            1690,
            1690,
            1750,
            1751,
            1690,
            1751,
            1691,
            1691,
            1751,
            1752,
            1691,
            1752,
            1692,
            1692,
            1752,
            1753,
            1692,
            1753,
            1693,
            1693,
            1753,
            1754,
            1693,
            1754,
            1694,
            1694,
            1754,
            1755,
            1694,
            1755,
            1695,
            1695,
            1755,
            1756,
            1695,
            1756,
            1696,
            1696,
            1756,
            1757,
            1696,
            1757,
            1697,
            1697,
            1757,
            1758,
            1697,
            1758,
            1698,
            1698,
            1758,
            1759,
            1698,
            1759,
            1699,
            1699,
            1759,
            1760,
            1699,
            1760,
            1700,
            1700,
            1760,
            1761,
            1700,
            1761,
            1701,
            1701,
            1761,
            1762,
            1701,
            1762,
            1702,
            1702,
            1762,
            1763,
            1702,
            1763,
            1703,
            1703,
            1763,
            1764,
            1703,
            1764,
            1704,
            1704,
            1764,
            1765,
            1704,
            1765,
            1705,
            1705,
            1765,
            1766,
            1705,
            1766,
            1706,
            1706,
            1766,
            1767,
            1706,
            1767,
            1707,
            1707,
            1767,
            1768,
            1708,
            1769,
            1709,
            1709,
            1769,
            1770,
            1709,
            1770,
            1710,
            1710,
            1770,
            1771,
            1710,
            1771,
            1711,
            1711,
            1771,
            1772,
            1711,
            1772,
            1712,
            1712,
            1772,
            1773,
            1712,
            1773,
            1713,
            1713,
            1773,
            1774,
            1713,
            1774,
            1714,
            1714,
            1774,
            1775,
            1714,
            1775,
            1715,
            1715,
            1775,
            1776,
            1715,
            1776,
            1716,
            1716,
            1776,
            1777,
            1716,
            1777,
            1717,
            1717,
            1777,
            1778,
            1717,
            1778,
            1718,
            1718,
            1778,
            1779,
            1718,
            1779,
            1719,
            1719,
            1779,
            1780,
            1719,
            1780,
            1720,
            1720,
            1780,
            1781,
            1720,
            1781,
            1721,
            1721,
            1781,
            1782,
            1721,
            1782,
            1722,
            1722,
            1782,
            1783,
            1722,
            1783,
            1723,
            1723,
            1783,
            1784,
            1723,
            1784,
            1724,
            1724,
            1784,
            1785,
            1724,
            1785,
            1725,
            1725,
            1785,
            1786,
            1725,
            1786,
            1726,
            1726,
            1786,
            1787,
            1726,
            1787,
            1727,
            1727,
            1787,
            1788,
            1727,
            1788,
            1728,
            1728,
            1788,
            1789,
            1728,
            1789,
            1729,
            1729,
            1789,
            1790,
            1729,
            1790,
            1730,
            1730,
            1790,
            1791,
            1730,
            1791,
            1731,
            1731,
            1791,
            1792,
            1731,
            1792,
            1732,
            1732,
            1792,
            1793,
            1732,
            1793,
            1733,
            1733,
            1793,
            1794,
            1733,
            1794,
            1734,
            1734,
            1794,
            1795,
            1734,
            1795,
            1735,
            1735,
            1795,
            1796,
            1735,
            1796,
            1736,
            1736,
            1796,
            1797,
            1736,
            1797,
            1737,
            1737,
            1797,
            1798,
            1737,
            1798,
            1738,
            1738,
            1798,
            1799,
            1738,
            1799,
            1739,
            1739,
            1799,
            1800,
            1739,
            1800,
            1740,
            1740,
            1800,
            1801,
            1740,
            1801,
            1741,
            1741,
            1801,
            1802,
            1741,
            1802,
            1742,
            1742,
            1802,
            1803,
            1742,
            1803,
            1743,
            1743,
            1803,
            1804,
            1743,
            1804,
            1744,
            1744,
            1804,
            1805,
            1744,
            1805,
            1745,
            1745,
            1805,
            1806,
            1745,
            1806,
            1746,
            1746,
            1806,
            1807,
            1746,
            1807,
            1747,
            1747,
            1807,
            1808,
            1747,
            1808,
            1748,
            1748,
            1808,
            1809,
            1748,
            1809,
            1749,
            1749,
            1809,
            1810,
            1749,
            1810,
            1750,
            1750,
            1810,
            1811,
            1750,
            1811,
            1751,
            1751,
            1811,
            1812,
            1751,
            1812,
            1752,
            1752,
            1812,
            1813,
            1752,
            1813,
            1753,
            1753,
            1813,
            1814,
            1753,
            1814,
            1754,
            1754,
            1814,
            1815,
            1754,
            1815,
            1755,
            1755,
            1815,
            1816,
            1755,
            1816,
            1756,
            1756,
            1816,
            1817,
            1756,
            1817,
            1757,
            1757,
            1817,
            1818,
            1757,
            1818,
            1758,
            1758,
            1818,
            1819,
            1758,
            1819,
            1759,
            1759,
            1819,
            1820,
            1759,
            1820,
            1760,
            1760,
            1820,
            1821,
            1760,
            1821,
            1761,
            1761,
            1821,
            1822,
            1761,
            1822,
            1762,
            1762,
            1822,
            1823,
            1762,
            1823,
            1763,
            1763,
            1823,
            1824,
            1763,
            1824,
            1764,
            1764,
            1824,
            1825,
            1764,
            1825,
            1765,
            1765,
            1825,
            1826,
            1765,
            1826,
            1766,
            1766,
            1826,
            1827,
            1766,
            1827,
            1767,
            1767,
            1827,
            1828,
            1767,
            1828,
            1768,
            1768,
            1828,
            1829,
            1769,
            1830,
            1770,
            1770,
            1830,
            1831,
            1770,
            1831,
            1771,
            1771,
            1831,
            1832,
            1771,
            1832,
            1772,
            1772,
            1832,
            1833,
            1772,
            1833,
            1773,
            1773,
            1833,
            1834,
            1773,
            1834,
            1774,
            1774,
            1834,
            1835,
            1774,
            1835,
            1775,
            1775,
            1835,
            1836,
            1775,
            1836,
            1776,
            1776,
            1836,
            1837,
            1776,
            1837,
            1777,
            1777,
            1837,
            1838,
            1777,
            1838,
            1778,
            1778,
            1838,
            1839,
            1778,
            1839,
            1779,
            1779,
            1839,
            1840,
            1779,
            1840,
            1780,
            1780,
            1840,
            1841,
            1780,
            1841,
            1781,
            1781,
            1841,
            1842,
            1781,
            1842,
            1782,
            1782,
            1842,
            1843,
            1782,
            1843,
            1783,
            1783,
            1843,
            1844,
            1783,
            1844,
            1784,
            1784,
            1844,
            1845,
            1784,
            1845,
            1785,
            1785,
            1845,
            1846,
            1785,
            1846,
            1786,
            1786,
            1846,
            1847,
            1786,
            1847,
            1787,
            1787,
            1847,
            1848,
            1787,
            1848,
            1788,
            1788,
            1848,
            1849,
            1788,
            1849,
            1789,
            1789,
            1849,
            1850,
            1789,
            1850,
            1790,
            1790,
            1850,
            1851,
            1790,
            1851,
            1791,
            1791,
            1851,
            1852,
            1791,
            1852,
            1792,
            1792,
            1852,
            1853,
            1792,
            1853,
            1793,
            1793,
            1853,
            1854,
            1793,
            1854,
            1794,
            1794,
            1854,
            1855,
            1794,
            1855,
            1795,
            1795,
            1855,
            1856,
            1795,
            1856,
            1796,
            1796,
            1856,
            1857,
            1796,
            1857,
            1797,
            1797,
            1857,
            1858,
            1797,
            1858,
            1798,
            1798,
            1858,
            1859,
            1798,
            1859,
            1799,
            1799,
            1859,
            1860,
            1799,
            1860,
            1800,
            1800,
            1860,
            1861,
            1800,
            1861,
            1801,
            1801,
            1861,
            1862,
            1801,
            1862,
            1802,
            1802,
            1862,
            1863,
            1802,
            1863,
            1803,
            1803,
            1863,
            1864,
            1803,
            1864,
            1804,
            1804,
            1864,
            1865,
            1804,
            1865,
            1805,
            1805,
            1865,
            1866,
            1805,
            1866,
            1806,
            1806,
            1866,
            1867,
            1806,
            1867,
            1807,
            1807,
            1867,
            1868,
            1807,
            1868,
            1808,
            1808,
            1868,
            1869,
            1808,
            1869,
            1809,
            1809,
            1869,
            1870,
            1809,
            1870,
            1810,
            1810,
            1870,
            1871,
            1810,
            1871,
            1811,
            1811,
            1871,
            1872,
            1811,
            1872,
            1812,
            1812,
            1872,
            1873,
            1812,
            1873,
            1813,
            1813,
            1873,
            1874,
            1813,
            1874,
            1814,
            1814,
            1874,
            1875,
            1814,
            1875,
            1815,
            1815,
            1875,
            1876,
            1815,
            1876,
            1816,
            1816,
            1876,
            1877,
            1816,
            1877,
            1817,
            1817,
            1877,
            1878,
            1817,
            1878,
            1818,
            1818,
            1878,
            1879,
            1818,
            1879,
            1819,
            1819,
            1879,
            1880,
            1819,
            1880,
            1820,
            1820,
            1880,
            1881,
            1820,
            1881,
            1821,
            1821,
            1881,
            1882,
            1821,
            1882,
            1822,
            1822,
            1882,
            1883,
            1822,
            1883,
            1823,
            1823,
            1883,
            1884,
            1823,
            1884,
            1824,
            1824,
            1884,
            1885,
            1824,
            1885,
            1825,
            1825,
            1885,
            1886,
            1825,
            1886,
            1826,
            1826,
            1886,
            1887,
            1826,
            1887,
            1827,
            1827,
            1887,
            1888,
            1827,
            1888,
            1828,
            1828,
            1888,
            1889,
            1828,
            1889,
            1829,
            1829,
            1889,
            1890
          ],
          "level": 1.9926315481586885,
          "requestedFilling": 1.0472929127467048,
          "requestedVolumeRadius": 0.4115598988549057,
          "displayedVolumeRadius": 0.4115598988549057,
          "overfillOpen": true,
          "relativeVolumeResidual": 0,
          "angularMesh": [
            30,
            60
          ]
        },
        "stream": {
          "states": [
            [
              0,
              0.12463440787633591,
              0,
              0.01,
              0
            ],
            [
              0.005,
              0.12468443167736962,
              -2.500734792076591e-07,
              0.010010057855904239,
              -0.00010004470714643069
            ],
            [
              0.01,
              0.12473451383251184,
              -1.0006126245875531e-06,
              0.010023342322531815,
              -0.00020018874688166165
            ],
            [
              0.015,
              0.12478467048601578,
              -2.2521513254888224e-06,
              0.010039858082334818,
              -0.0003004470141294196
            ],
            [
              0.02,
              0.12483491780858784,
              -4.005298019261866e-06,
              0.010059611034464727,
              -0.0004008344347584126
            ],
            [
              0.025,
              0.12488527200347653,
              -6.260735869873301e-06,
              0.01008260829707225,
              -0.0005013659751406499
            ],
            [
              0.03,
              0.12493574931257426,
              -9.019222994349073e-06,
              0.010108858210028784,
              -0.0006020566517248009
            ],
            [
              0.035,
              0.12498636602253355,
              -1.2281592737127172e-05,
              0.01013837033807074,
              -0.0007029215406270817
            ],
            [
              0.04,
              0.1250371384709001,
              -1.6048753992413745e-05,
              0.010171155474368114,
              -0.000803975787242161
            ],
            [
              0.045,
              0.12508808305226476,
              -2.0321691574649023e-05,
              0.010207225644518866,
              -0.0009052346158765837
            ],
            [
              0.05,
              0.12513921622443663,
              -2.510146663720189e-05,
              0.010246594110970881,
              -0.0010067133394072217
            ],
            [
              0.055,
              0.12519055451463912,
              -3.0389217139424473e-05,
              0.010289275377873304,
              -0.001108427368967265
            ],
            [
              0.06,
              0.12524211452573158,
              -3.618615836221083e-05,
              0.010335285196359402,
              -0.001210392223662279
            ],
            [
              0.065,
              0.1252939129424583,
              -4.2493583472216385e-05,
              0.010384640570263094,
              -0.0013126235403188643
            ],
            [
              0.07,
              0.12534596653772725,
              -4.931286413490741e-05,
              0.01043735976227158,
              -0.0014151370832684652
            ],
            [
              0.075,
              0.12539829217892057,
              -5.6645451176622806e-05,
              0.010493462300516575,
              -0.001517948754168889
            ],
            [
              0.08,
              0.12545090683423923,
              -6.449287529584312e-05,
              0.010552968985606922,
              -0.001621074601866106
            ],
            [
              0.085,
              0.12550382757908393,
              -7.285674782387461e-05,
              0.010615901898105417,
              -0.0017245308322989185
            ],
            [
              0.09,
              0.1255570716024745,
              -8.173876153516924e-05,
              0.010682284406452936,
              -0.0018283338184491064
            ],
            [
              0.095,
              0.12561065621351003,
              -9.114069150751465e-05,
              0.010752141175343139,
              -0.0019325001103396619
            ],
            [
              0.1,
              0.12566459884787196,
              -0.00010106439603234088,
              0.010825498174551071,
              -0.0020370464450837553
            ],
            [
              0.105,
              0.12571891707437258,
              -0.00011151181757540436,
              0.010902382688219367,
              -0.002141989756987085
            ],
            [
              0.11,
              0.12577362860155103,
              -0.00012248498378812265,
              0.01098282332460573,
              -0.0022473471877062882
            ],
            [
              0.115,
              0.12582875128431925,
              -0.000133986008569847,
              0.011066850026295712,
              -0.002353136096466101
            ],
            [
              0.12,
              0.12588430313065999,
              -0.00014601709318137323,
              0.011154494080884887,
              -0.002459374070337996
            ],
            [
              0.125,
              0.12594030230837974,
              -0.00015858052741000525,
              0.011245788132134778,
              -0.00256607893458302
            ],
            [
              0.13,
              0.12599676715191827,
              -0.00017167869078649886,
              0.011340766191607041,
              -0.002673268763061607
            ],
            [
              0.135,
              0.1260537161692178,
              -0.00018531405385422808,
              0.01143946365078059,
              -0.0027809618887131445
            ],
            [
              0.14,
              0.12611116804865397,
              -0.00019948917949092935,
              0.01154191729365662,
              -0.0028891769141081063
            ],
            [
              0.145,
              0.1261691416660309,
              -0.00021420672428339386,
              0.011648165309856576,
              -0.002997932722075588
            ],
            [
              0.15,
              0.12622765609164302,
              -0.00022946943995549182,
              0.01175824730821838,
              -0.0031072484864091096
            ],
            [
              0.155,
              0.1262867305974063,
              -0.0002452801748499276,
              0.011872204330896445,
              -0.003217143682653576
            ],
            [
              0.16,
              0.12634638466406117,
              -0.00026164187546413886,
              0.011990078867971165,
              -0.0033276380989763197
            ],
            [
              0.165,
              0.12640663798844956,
              -0.00027855758804076655,
              0.012111914872573801,
              -0.0034387518471251715
            ],
            [
              0.17,
              0.12646751049086924,
              -0.0002960304602131399,
              0.012237757776532899,
              -0.003550505373476545
            ],
            [
              0.17500000000000002,
              0.12652902232250746,
              -0.0003140637427062325,
              0.012367654506548585,
              -0.0036629194701765446
            ],
            [
              0.18,
              0.1265911938729568,
              -0.0003326607910935629,
              0.012501653500901329,
              -0.00377601528637815
            ],
            [
              0.185,
              0.12665404577781608,
              -0.0003518250676105281,
              0.01263980472670194,
              -0.003889814339577549
            ],
            [
              0.19,
              0.12671759892637866,
              -0.00037156014302467294,
              0.012782159697689846,
              -0.004004338527052738
            ],
            [
              0.195,
              0.1267818744694113,
              -0.0003918696985634142,
              0.012928771492586887,
              -0.004119610137407542
            ],
            [
              0.2,
              0.12684689382702613,
              -0.0004127575278997558,
              0.013079694774014135,
              -0.0042356518622242365
            ],
            [
              0.20500000000000002,
              0.1269126786966486,
              -0.00043422753919654443,
              0.01323498580797946,
              -0.004352486807827997
            ],
            [
              0.21,
              0.1269792510610844,
              -0.0004562837572098348,
              0.013394702483943838,
              -0.00447013850716644
            ],
            [
              0.215,
              0.12704663319668794,
              -0.0004789303254519463,
              0.013558904335474608,
              -0.0045886309318075545
            ],
            [
              0.22,
              0.127114847681636,
              -0.0005021715084148127,
              0.013727652561494174,
              -0.0047079885040593695
            ],
            [
              0.225,
              0.1271839174043087,
              -0.0005260116938542413,
              0.013901010048132937,
              -0.004828236109214736
            ],
            [
              0.23,
              0.12725386557178156,
              -0.0005504553951357165,
              0.014079041391195389,
              -0.004949399107924649
            ],
            [
              0.23500000000000001,
              0.1273247157184312,
              -0.0005755072536423978,
              0.014261812919248733,
              -0.00507150334870358
            ],
            [
              0.24,
              0.1273964917146583,
              -0.000601172041245982,
              0.014449392717343556,
              -0.005194575180570318
            ],
            [
              0.245,
              0.12746921777573067,
              -0.000627454662841116,
              0.014641850651376407,
              -0.005318641465827898
            ],
            [
              0.25,
              0.1275429184707496,
              -0.0006543601589440646,
              0.014839258393104428,
              -0.005443729592986183
            ],
            [
              0.255,
              0.12761761873174324,
              -0.0006818937083563547,
              0.01504168944582247,
              -0.005569867489830778
            ],
            [
              0.26,
              0.1276933438628898,
              -0.0007100606308941384,
              0.015249219170713415,
              -0.005697083636641944
            ],
            [
              0.265,
              0.12777011954987427,
              -0.0007388663901840326,
              0.015461924813882815,
              -0.0058254070795672585
            ],
            [
              0.27,
              0.12784797186938224,
              -0.0007683165965262155,
              0.01567988553408914,
              -0.005954867444151817
            ],
            [
              0.275,
              0.1279269272987336,
              -0.000798417009825574,
              0.015903182431181374,
              -0.006085494949029797
            ],
            [
              0.28,
              0.1280070127256609,
              -0.0008291735425917224,
              0.016131898575255994,
              -0.006217320419781279
            ],
            [
              0.28500000000000003,
              0.12808825545823505,
              -0.000860592263008725,
              0.01636611903654571,
              -0.006350375302958256
            ],
            [
              0.29,
              0.12817068323494185,
              -0.0008926793980753811,
              0.016605930916052638,
              -0.0064846916802838075
            ],
            [
              0.295,
              0.12825432423491454,
              -0.0009254413368169461,
              0.01685142337693907,
              -0.006620302283028491
            ],
            [
              0.3,
              0.12833920708832425,
              -0.0009588846335691876,
              0.017102687676689245,
              -0.006757240506568021
            ],
            [
              0.305,
              0.12842536088693382,
              -0.0009930160113356893,
              0.017359817200055937,
              -0.006895540425126382
            ],
            [
              0.31,
              0.12851281519481816,
              -0.001027842365219347,
              0.01762290749280615,
              -0.007035236806708555
            ],
            [
              0.315,
              0.12860160005925547,
              -0.0010633707659290048,
              0.017892056296280517,
              -0.007176365128227118
            ],
            [
              0.32,
              0.12869174602179306,
              -0.001099608463362225,
              0.01816736358278138,
              -0.0073189615908269955
            ],
            [
              0.325,
              0.12878328412949253,
              -0.00113656289026518,
              0.01844893159180512,
              -0.00746306313541272
            ],
            [
              0.33,
              0.12887624594635788,
              -0.0011742416659706997,
              0.018736864867134512,
              -0.00760870745838259
            ],
            [
              0.335,
              0.12897066356495182,
              -0.001212652600215516,
              0.019031270294807542,
              -0.007755933027574195
            ],
            [
              0.34,
              0.12906656961820362,
              -0.00125180369703777,
              0.019332257141979437,
              -0.007904779098425796
            ],
            [
              0.34500000000000003,
              0.12916399729141376,
              -0.0012917031587558786,
              0.019639937096695193,
              -0.008055285730358134
            ],
            [
              0.35000000000000003,
              0.1292629803344598,
              -0.0013323593900298682,
              0.019954424308590353,
              -0.00820749380338127
            ],
            [
              0.355,
              0.12936355307420797,
              -0.0013737810020063173,
              0.020275835430538312,
              -0.00836144503493111
            ],
            [
              0.36,
              0.1294657504271356,
              -0.0014159768165480627,
              0.020604289661262935,
              -0.008517181996940359
            ],
            [
              0.365,
              0.12956960791216884,
              -0.0014589558705498595,
              0.020939908788935764,
              -0.008674748133148634
            ],
            [
              0.37,
              0.12967516166374102,
              -0.001502727420341197,
              0.02128281723577775,
              -0.008834187776656567
            ],
            [
              0.375,
              0.12978244844507658,
              -0.0015473009461775085,
              0.021633142103685884,
              -0.00899554616772878
            ],
            [
              0.38,
              0.1298915056617056,
              -0.0015926861568210239,
              0.021991013220905724,
              -0.00915886947185061
            ],
            [
              0.385,
              0.13000237137521456,
              -0.0016388929942125548,
              0.022356563189771566,
              -0.009324204798043589
            ],
            [
              0.39,
              0.13011508431723823,
              -0.0016859316382355119,
              0.022729927435536333,
              -0.009491600217444631
            ],
            [
              0.395,
              0.1302296839036988,
              -0.0017338125115734888,
              0.02311124425631422,
              -0.009661104782154055
            ],
            [
              0.4,
              0.13034621024929738,
              -0.001782546284662769,
              0.023500654874159577,
              -0.009832768544357462
            ],
            [
              0.405,
              0.13046470418226383,
              -0.0018321438807411365,
              0.023898303487306313,
              -0.010006642575726652
            ],
            [
              0.41000000000000003,
              0.13058520725937062,
              -0.0018826164809944014,
              0.02430433732359276,
              -0.010182778987104752
            ],
            [
              0.41500000000000004,
              0.13070776178121696,
              -0.0019339755298020695,
              0.02471890669509771,
              -0.010361230948480748
            ],
            [
              0.42,
              0.13083241080778926,
              -0.0019862327400836225,
              0.025142165054014086,
              -0.010542052709258704
            ],
            [
              0.425,
              0.1309591981743039,
              -0.0020394000987468885,
              0.025574269049787497,
              -0.010725299618826914
            ],
            [
              0.43,
              0.13108816850733918,
              -0.002093489872240021,
              0.026015378587547773,
              -0.01091102814743232
            ],
            [
              0.435,
              0.13121936724126232,
              -0.002148514612208628,
              0.026465656887862357,
              -0.01109929590736554
            ],
            [
              0.44,
              0.13135284063495908,
              -0.002204487161259604,
              0.026925270547841374,
              -0.011290161674461832
            ],
            [
              0.445,
              0.13148863578887204,
              -0.002261420658833277,
              0.02739438960362513,
              -0.011483685409923394
            ],
            [
              0.45,
              0.1316268006623548,
              -0.0023193285471854804,
              0.027873187594285614,
              -0.011679928282468416
            ],
            [
              0.455,
              0.13176738409134958,
              -0.002378224577481192,
              0.028361841627174696,
              -0.011878952690812204
            ],
            [
              0.46,
              0.13191043580639486,
              -0.0024381228160014284,
              0.028860532444752694,
              -0.012080822286485889
            ],
            [
              0.465,
              0.13205600645097132,
              -0.002499037650465082,
              0.02936944449293197,
              -0.012285601996998016
            ],
            [
              0.47000000000000003,
              0.1322041476001932,
              -0.002560983796467437,
              0.029888765990971407,
              -0.012493358049344516
            ],
            [
              0.47500000000000003,
              0.1323549117798528,
              -0.002623976304037118,
              0.030418689002958705,
              -0.012704157993872343
            ],
            [
              0.48,
              0.1325083524858271,
              -0.0026880305643132494,
              0.030959409510918634,
              -0.012918070728502205
            ],
            [
              0.485,
              0.13266452420385327,
              -0.0027531623163446414,
              0.031511127489586656,
              -0.013135166523315705
            ],
            [
              0.49,
              0.13282348242968306,
              -0.00281938765401283,
              0.03207404698288849,
              -0.013355517045512192
            ],
            [
              0.495,
              0.1329852836896234,
              -0.0028867230330808366,
              0.03264837618216772,
              -0.013579195384740568
            ],
            [
              0.5,
              0.13314998556147273,
              -0.002955185278369539,
              0.03323432750620477,
              -0.01380627607881125
            ],
            [
              0.505,
              0.13331764669586224,
              -0.0030247915910635594,
              0.033832117683072045,
              -0.014036835139793435
            ],
            [
              0.51,
              0.13348832683801068,
              -0.0030955595561486123,
              0.034441967833871684,
              -0.014270950080502722
            ],
            [
              0.515,
              0.13366208684990297,
              -0.0031675071499822805,
              0.03506410355840375,
              -0.014508699941384063
            ],
            [
              0.52,
              0.13383898873290195,
              -0.0032406527480002005,
              0.03569875502281442,
              -0.01475016531779491
            ],
            [
              0.525,
              0.1340190956508035,
              -0.0033150151325596756,
              0.0363461570492755,
              -0.014995428387693336
            ],
            [
              0.53,
              0.13420247195334514,
              -0.0033906135009227527,
              0.03700654920774823,
              -0.015244572939735744
            ],
            [
              0.535,
              0.13438918320017884,
              -0.0034674674733808177,
              0.03768017590988635,
              -0.015497684401788666
            ],
            [
              0.54,
              0.13457929618531878,
              -0.0035455971015228003,
              0.03836728650513529,
              -0.01575484986985898
            ],
            [
              0.545,
              0.13477287896207532,
              -0.003625022876649077,
              0.039068135379086204,
              -0.016016158137446702
            ],
            [
              0.55,
              0.13497000086848637,
              -0.003705765738333208,
              0.03978298205414613,
              -0.016281699725324287
            ],
            [
              0.555,
              0.13517073255325812,
              -0.003787847083133645,
              0.04051209129258721,
              -0.016551566911746227
            ],
            [
              0.56,
              0.135375146002227,
              -0.0038712887734575646,
              0.04125573320204072,
              -0.016825853763092383
            ],
            [
              0.5650000000000001,
              0.13558331456535547,
              -0.003956113146579016,
              0.04201418334350364,
              -0.017104656164948332
            ],
            [
              0.5700000000000001,
              0.13579531298427422,
              -0.004042343023813567,
              0.04278772284192854,
              -0.01738807185362567
            ],
            [
              0.5750000000000001,
              0.13601121742038405,
              -0.0041300017198516534,
              0.0435766384994696,
              -0.017676200448124877
            ],
            [
              0.58,
              0.13623110548353048,
              -0.004219113052252863,
              0.04438122291146096,
              -0.017969143482543064
            ],
            [
              0.585,
              0.1364550562612656,
              -0.004309701351103357,
              0.04520177458520604,
              -0.01826700443892852
            ],
            [
              0.59,
              0.13668315034871084,
              -0.00440179146883871,
              0.046038598061659795,
              -0.018569888780583493
            ],
            [
              0.595,
              0.13691546987903555,
              -0.004495408790234363,
              0.04689200404008882,
              -0.0188779039858164
            ],
            [
              0.6,
              0.13715209855456661,
              -0.004590579242565977,
              0.047762309505797976,
              -0.019191159582143874
            ],
            [
              0.605,
              0.1373931216785446,
              -0.00468732930594191,
              0.0486498378610151,
              -0.019509767180942886
            ],
            [
              0.61,
              0.1376386261875423,
              -0.004785686023810097,
              0.0495549190590297,
              -0.019833840512552235
            ],
            [
              0.615,
              0.13788870068456233,
              -0.004885677013641536,
              0.05047788974168487,
              -0.020163495461822487
            ],
            [
              0.62,
              0.1381434354728308,
              -0.004987330477792661,
              0.05141909338032603,
              -0.020498850104112402
            ],
            [
              0.625,
              0.13840292259030465,
              -0.005090675214548791,
              0.05237888042031416,
              -0.020840024741729482
            ],
            [
              0.63,
              0.1386672558449105,
              -0.005195740629350903,
              0.053357608429215886,
              -0.021187141940811262
            ],
            [
              0.635,
              0.13893653085053423,
              -0.005302556746207891,
              0.05435564224878715,
              -0.021540326568643277
            ],
            [
              0.64,
              0.13921084506377995,
              -0.005411154219296502,
              0.05537335415087241,
              -0.02189970583140875
            ],
            [
              0.645,
              0.13949029782151856,
              -0.0055215643447510876,
              0.05641112399734643,
              -0.022265409312363947
            ],
            [
              0.65,
              0.13977499037924634,
              -0.005633819072645283,
              0.05746933940423102,
              -0.022637569010432197
            ],
            [
              0.655,
              0.14006502595027515,
              -0.00574795101916768,
              0.05854839591012506,
              -0.023016319379208474
            ],
            [
              0.66,
              0.14036050974577546,
              -0.005863993478993541,
              0.059648697149092,
              -0.02340179736636517
            ],
            [
              0.665,
              0.14066154901569553,
              -0.005981980437854511,
              0.06077065502815541,
              -0.023794142453448373
            ],
            [
              0.67,
              0.14096825309057978,
              -0.00610194658530827,
              0.06191468990955988,
              -0.02419349669605269
            ],
            [
              0.675,
              0.14128073342431094,
              -0.006223927327709977,
              0.06308123079796173,
              -0.024600004764360937
            ],
            [
              0.68,
              0.14159910363780046,
              -0.006347958801387288,
              0.06427071553272104,
              -0.025013813984033687
            ],
            [
              0.685,
              0.14192347956365392,
              -0.006474077886020674,
              0.06548359098547477,
              -0.02543507437743162
            ],
            [
              0.6900000000000001,
              0.14225397929183767,
              -0.00660232221823063,
              0.06672031326317869,
              -0.025863938705152027
            ],
            [
              0.6950000000000001,
              0.14259072321637456,
              -0.006732730205373314,
              0.06798134791681466,
              -0.02630056250785866
            ],
            [
              0.7000000000000001,
              0.14293383408309834,
              -0.006865341039546027,
              0.0692671701559689,
              -0.026745104148382007
            ],
            [
              0.705,
              0.14328343703849558,
              -0.007000194711803811,
              0.07057826506949662,
              -0.027197724854064763
            ],
            [
              0.71,
              0.1436396596796668,
              -0.007137332026588332,
              0.07191512785249868,
              -0.027658588759324892
            ],
            [
              0.715,
              0.1440026321054388,
              -0.007276794616370064,
              0.07327826403984625,
              -0.02812786294840579
            ],
            [
              0.72,
              0.14437248696866128,
              -0.007418624956504617,
              0.0746681897465017,
              -0.028605717498280444
            ],
            [
              0.725,
              0.14474935952972307,
              -0.0075628663803039,
              0.07608543191489517,
              -0.029092325521673304
            ],
            [
              0.73,
              0.14513338771132261,
              -0.0077095630943226036,
              0.07753052856962912,
              -0.029587863210160315
            ],
            [
              0.735,
              0.1455247121545318,
              -0.00785876019386029,
              0.07900402907979726,
              -0.03009250987730402
            ],
            [
              0.74,
              0.14592347627619057,
              -0.008010503678679151,
              0.08050649442921741,
              -0.0306064480017769
            ],
            [
              0.745,
              0.14632982632767302,
              -0.008164840468937245,
              0.08203849749489375,
              -0.031129863270422053
            ],
            [
              0.75,
              0.14674391145506743,
              -0.008321818421336766,
              0.08360062333403931,
              -0.03166294462119593
            ],
            [
              0.755,
              0.14716588376081327,
              -0.008481486345486617,
              0.08519346948000671,
              -0.03220588428593321
            ],
            [
              0.76,
              0.14759589836684095,
              -0.008643894020478216,
              0.08681764624749254,
              -0.03275887783286879
            ],
            [
              0.765,
              0.14803411347926174,
              -0.008809092211673163,
              0.08847377704740007,
              -0.03332212420884668
            ],
            [
              0.77,
              0.14848069045465656,
              -0.00897713268770102,
              0.09016249871176477,
              -0.03389582578113963
            ],
            [
              0.775,
              0.14893579386801603,
              -0.009148068237665036,
              0.09188446182916819,
              -0.034480188378797086
            ],
            [
              0.78,
              0.14939959158238414,
              -0.009321952688553252,
              0.09364033109108846,
              -0.03507542133343269
            ],
            [
              0.785,
              0.14987225482026242,
              -0.00949884092285194,
              0.09543078564965912,
              -0.03568173751935496
            ],
            [
              0.79,
              0.1503539582368324,
              -0.009678788896357851,
              0.09725651948733363,
              -0.03629935339293764
            ],
            [
              0.795,
              0.15084487999505689,
              -0.009861853656185169,
              0.09911824179897914,
              -0.03692848903111729
            ],
            [
              0.8,
              0.15134520184272449,
              -0.010048093358962517,
              0.10101667738695244,
              -0.03756936816889757
            ],
            [
              0.805,
              0.1518551091915027,
              -0.01023756728921476,
              0.10295256706974,
              -0.03822221823572946
            ],
            [
              0.81,
              0.1523747911980696,
              -0.010430335877923566,
              0.10492666810477708,
              -0.038887270390626914
            ],
            [
              0.8150000000000001,
              0.15290444084739635,
              -0.010626460721260113,
              0.10693975462609447,
              -0.039564759555866164
            ],
            [
              0.8200000000000001,
              0.15344425503825657,
              -0.010826004599482377,
              0.10899261809747761,
              -0.04025492444910513
            ],
            [
              0.8250000000000001,
              0.15399443467104162,
              -0.01102903149598873,
              0.11108606778186167,
              -0.04095800761374676
            ],
            [
              0.8300000000000001,
              0.15455518473796512,
              -0.011235606616518547,
              0.11322093122772643,
              -0.04167425544735613
            ],
            [
              0.835,
              0.15512671441574347,
              -0.01144579640848964,
              0.11539805477329944,
              -0.042403918227926794
            ],
            [
              0.84,
              0.1557092371608439,
              -0.011659668580461162,
              0.11761830406942093,
              -0.04314725013777563
            ],
            [
              0.845,
              0.1563029708073953,
              -0.011877292121709583,
              0.11988256462197462,
              -0.043904509284828606
            ],
            [
              0.85,
              0.1569081376678619,
              -0.012098737321904033,
              0.12219174235484018,
              -0.044675957721041215
            ],
            [
              0.855,
              0.1575249646365854,
              -0.012324075790866015,
              0.12454676419437961,
              -0.04546186145767775
            ],
            [
              0.86,
              0.15815368329630555,
              -0.012553380478397057,
              0.12694857867652964,
              -0.04626249047715201
            ],
            [
              0.865,
              0.15879453002777472,
              -0.012786725694156289,
              0.12939815657763515,
              -0.04707811874110894
            ],
            [
              0.87,
              0.15944774612258883,
              -0.013024187127568336,
              0.13189649157022784,
              -0.047909024194402045
            ],
            [
              0.875,
              0.16011357789936226,
              -0.013265841867740056,
              0.13444460090502539,
              -0.04875548876459423
            ],
            [
              0.88,
              0.16079227682338076,
              -0.013511768423362762,
              0.13704352612050547,
              -0.049617798356580915
            ],
            [
              0.885,
              0.16148409962987428,
              -0.01376204674257448,
              0.13969433378148957,
              -0.050496242841902995
            ],
            [
              0.89,
              0.16218930845105853,
              -0.014016758232754523,
              0.14239811624826237,
              -0.051391116042283136
            ],
            [
              0.895,
              0.16290817094710167,
              -0.014275985780220272,
              0.14515599247784466,
              -0.05230271570688252
            ],
            [
              0.9,
              0.16364096044118145,
              -0.014539813769793403,
              0.14796910885914047,
              -0.053231343482735366
            ],
            [
              0.905,
              0.1643879560588064,
              -0.014808328104200056,
              0.1508386400837863,
              -0.05417730487777602
            ],
            [
              0.91,
              0.16514944287158467,
              -0.015081616223266267,
              0.15376579005464625,
              -0.05514090921582657
            ],
            [
              0.915,
              0.16592571204563367,
              -0.015359767122866878,
              0.15675179283402124,
              -0.05612246958286311
            ],
            [
              0.92,
              0.1667170609948346,
              -0.015642871373582414,
              0.15979791363377302,
              -0.057122302763824295
            ],
            [
              0.925,
              0.16752379353914734,
              -0.015931021139014744,
              0.16290544984970573,
              -0.05814072916916635
            ],
            [
              0.93,
              0.16834622006821287,
              -0.016224310193708073,
              0.16607573214270152,
              -0.059178072750305385
            ],
            [
              0.935,
              0.16918465771048397,
              -0.01652283394061749,
              0.16931012556926986,
              -0.060234660903017614
            ],
            [
              0.9400000000000001,
              0.17003943050813788,
              -0.016826689428062282,
              0.1726100307643463,
              -0.06131082435779312
            ],
            [
              0.9450000000000001,
              0.17091086959804003,
              -0.0171359753660962,
              0.17597688517936627,
              -0.062406897056056315
            ],
            [
              0.9500000000000001,
              0.17179931339904278,
              -0.017450792142221037,
              0.1794121643788416,
              -0.06352321601107738
            ],
            [
              0.9550000000000001,
              0.1727051078059207,
              -0.017771241836363867,
              0.18291738339888744,
              -0.06466012115230149
            ],
            [
              0.96,
              0.17362860639026065,
              -0.018097428235031625,
              0.1864940981713814,
              -0.0658179551517173
            ],
            [
              0.965,
              0.17457017060864524,
              -0.01842945684454956,
              0.1901439070176907,
              -0.06699706323077051
            ],
            [
              0.97,
              0.17553017001848736,
              -0.018767434903282226,
              0.19386845221617593,
              -0.06819779294620316
            ],
            [
              0.975,
              0.17650898250189592,
              -0.019111471392727418,
              0.19766942164797402,
              -0.06942049395306207
            ],
            [
              0.98,
              0.1775069944979763,
              -0.019461677047364057,
              0.20154855052588105,
              -0.07066551774297038
            ],
            [
              0.985,
              0.1785246012439937,
              -0.019818164363125387,
              0.20550762321149701,
              -0.07193321735559234
            ],
            [
              0.99,
              0.17956220702585401,
              -0.0201810476043578,
              0.2095484751261658,
              -0.07322394706104371
            ],
            [
              0.995,
              0.18062022543838663,
              -0.02055044280911404,
              0.21367299476164306,
              -0.07453806201080355
            ],
            [
              1,
              0.18169907965594265,
              -0.0209264677926167,
              0.21788312579685684,
              -0.07587591785447004
            ],
            [
              1.0050000000000001,
              0.1827992027138564,
              -0.021309242148714196,
              0.22218086932759457,
              -0.07723787031946788
            ],
            [
              1.01,
              0.18392103780135302,
              -0.021698887249136083,
              0.22656828621645622,
              -0.07862427475055814
            ],
            [
              1.0150000000000001,
              0.18506503856652257,
              -0.022095526240338382,
              0.23104749957096385,
              -0.08003548560571824
            ],
            [
              1.02,
              0.18623166943402278,
              -0.022499284037711495,
              0.23562069735831262,
              -0.08147185590465107
            ],
            [
              1.025,
              0.187421405936216,
              -0.022910287316903824,
              0.24029013516589556,
              -0.08293373662583974
            ],
            [
              1.03,
              0.18863473505849357,
              -0.023328664501992776,
              0.24505813911743746,
              -0.08442147604769056
            ],
            [
              1.035,
              0.18987215559959164,
              -0.02375454575021171,
              0.24992710895533624,
              -0.08593541902889341
            ],
            [
              1.04,
              0.19113417854775813,
              -0.02418806293291567,
              0.2548995213006417,
              -0.08747590622267293
            ],
            [
              1.045,
              0.19242132747368898,
              -0.02462934961244114,
              0.25997793310300626,
              -0.08904327321910192
            ],
            [
              1.05,
              0.19373413894121647,
              -0.025078541014484274,
              0.2651649852939279,
              -0.0906378496090936
            ],
            [
              1.055,
              0.19507316293680219,
              -0.025535773995588897,
              0.27046340665768204,
              -0.0922599579630756
            ],
            [
              1.06,
              0.19643896331896057,
              -0.026001187005298704,
              0.2758760179355123,
              -0.09390991271667014
            ],
            [
              1.065,
              0.19783211828882183,
              -0.026474920042488026,
              0.2814057361799338,
              -0.09558801895495354
            ],
            [
              1.07,
              0.1992532208831289,
              -0.02695711460534119,
              0.2870555793774044,
              -0.09729457108603361
            ],
            [
              1.075,
              0.20070287949106008,
              -0.02744791363440207,
              0.29282867135915713,
              -0.0990298513937595
            ],
            [
              1.08,
              0.20218171839637017,
              -0.027947461448061883,
              0.29872824702166856,
              -0.10079412845835022
            ],
            [
              1.085,
              0.20369037834645645,
              -0.02845590366979444,
              0.30475765788008374,
              -0.10258765543258398
            ],
            [
              1.09,
              0.2052295171500766,
              -0.0289733871463831,
              0.3109203779799466,
              -0.10441066815991835
            ],
            [
              1.095,
              0.20679981030557765,
              -0.029500059856312176,
              0.317220010194809,
              -0.10626338311948998
            ],
            [
              1.1,
              0.20840195166164013,
              -0.03003607080741616,
              0.3236602929397462,
              -0.10814599518135937
            ],
            [
              1.105,
              0.21003665411269684,
              -0.0305815699227929,
              0.33024510733350027,
              -0.11005867515359385
            ],
            [
              1.11,
              0.21170465033135766,
              -0.03113670791388971,
              0.33697848484495413,
              -0.11200156710080071
            ],
            [
              1.115,
              0.21340669354035818,
              -0.031701636139564185,
              0.3438646154629187,
              -0.11397478541150168
            ],
            [
              1.12,
              0.21514355832675328,
              -0.03227650644980228,
              0.35090785643184835,
              -0.11597841158924906
            ],
            [
              1.125,
              0.21691604150130067,
              -0.03286147101264378,
              0.3581127416001147,
              -0.11801249073958539
            ],
            [
              1.1300000000000001,
              0.21872496300622243,
              -0.03345668212271821,
              0.36548399143191745,
              -0.1200770277218003
            ],
            [
              1.135,
              0.22057116687480077,
              -0.034062291989630344,
              0.3730265237388437,
              -0.12217198293089254
            ],
            [
              1.1400000000000001,
              0.2224555222465577,
              -0.03467845250425139,
              0.3807454651925683,
              -0.12429726767114473
            ],
            [
              1.145,
              0.22437892444209045,
              -0.035305314980768394,
              0.3886461636862767,
              -0.1264527390781984
            ],
            [
              1.1500000000000001,
              0.22634229610198922,
              -0.035943029872115916,
              0.3967342016191759,
              -0.1286381945414037
            ],
            [
              1.155,
              0.2283465883946541,
              -0.036591746456158855,
              0.4050154101860223,
              -0.13085336557242247
            ],
            [
              1.16,
              0.23039278229825885,
              -0.03725161248970927,
              0.41349588476203414,
              -0.1330979110594851
            ],
            [
              1.165,
              0.23248188996258312,
              -0.037922773827138344,
              0.4221820014829989,
              -0.1353714098392232
            ],
            [
              1.17,
              0.23461495615696126,
              -0.03860537399998391,
              0.43108043513095096,
              -0.13767335250948173
            ],
            [
              1.175,
              0.23679305981117488,
              -0.0392995537535468,
              0.44019817844764825,
              -0.1400031323967978
            ],
            [
              1.18,
              0.23901731565676215,
              -0.040005450536010886,
              0.4495425630113832,
              -0.14236003558112595
            ],
            [
              1.185,
              0.24128887597692947,
              -0.04072319793510319,
              0.4591212818276336,
              -0.14474322986767518
            ],
            [
              1.19,
              0.2436089324740459,
              -0.041452925056724536,
              0.46894241380092483,
              -0.14715175258113286
            ],
            [
              1.195,
              0.24597871826458392,
              -0.042194755839316304,
              0.47901445027430634,
              -0.14958449704078375
            ],
            [
              1.2,
              0.24839951001235525,
              -0.042948808296974325,
              0.48934632384435917,
              -0.1520401975557197
            ],
            [
              1.205,
              0.2508726302119885,
              -0.04371519368346281,
              0.49994743968401184,
              -0.15451741275704553
            ],
            [
              1.21,
              0.25339944963582606,
              -0.04449401556830242,
              0.5108277096330782,
              -0.15701450705820658
            ],
            [
              1.215,
              0.25598138995879244,
              -0.045285368814989804,
              0.5219975893478345,
              -0.15952963000467926
            ],
            [
              1.22,
              0.25861992657733185,
              -0.04608933845012712,
              0.5334681188367099,
              -0.1620606932395455
            ],
            [
              1.225,
              0.2613165916402462,
              -0.046905998410774384,
              0.5452509667499595,
              -0.16460534477103786
            ],
            [
              1.23,
              0.2640729773112199,
              -0.04773541015565316,
              0.5573584788378099,
              -0.16716094018093905
            ],
            [
              1.235,
              0.2668907392850187,
              -0.04857762112388948,
              0.5698037310449725,
              -0.1697245103574745
            ],
            [
              1.24,
              0.2697716005818409,
              -0.04943266302274504,
              0.582600587770714,
              -0.17229272527151182
            ],
            [
              1.245,
              0.272717355647116,
              -0.05030054992319382,
              0.5957637658941659,
              -0.1748618532386102
            ],
            [
              1.25,
              0.2757298747872432,
              -0.05118127613919565,
              0.6093089052458253,
              -0.17742771501946994
            ],
            [
              1.2550000000000001,
              0.2788111089753954,
              -0.05207481386302183,
              0.6232526463000799,
              -0.1799856320048485
            ],
            [
              1.26,
              0.28196309506565476,
              -0.052981110524911945,
              0.6376127159723107,
              -0.18253036760462446
            ],
            [
              1.2650000000000001,
              0.28518796145846975,
              -0.05390008584057384,
              0.6524080225303136,
              -0.18505606081022574
            ],
            [
              1.27,
              0.28848793426583064,
              -0.05483162850444919,
              0.667658760776616,
              -0.1875561507199173
            ],
            [
              1.2750000000000001,
              0.29186534403076153,
              -0.055775592480092215,
              0.683386528829523,
              -0.19002329060106482
            ],
            [
              1.28,
              0.2953226330628512,
              -0.05673179283125269,
              0.6996144580310167,
              -0.19244924980446515
            ],
            [
              1.285,
              0.2988623634597599,
              -0.05770000102807246,
              0.7163673577444458,
              -0.194824801533195
            ],
            [
              1.29,
              0.3024872258941231,
              -0.05867993965190082,
              0.7336718770809921,
              -0.19713959408963866
            ],
            [
              1.295,
              0.3062000492562597,
              -0.05967127640923843,
              0.7515566859192906,
              -0.19938200276361406
            ],
            [
              1.3,
              0.31000381125585014,
              -0.060673617349774736,
              0.7700526779671888,
              -0.20153895896177962
            ],
            [
              1.305,
              0.31390165010059906,
              -0.061686499164817984,
              0.7891931990705193,
              -0.2035957524882479
            ],
            [
              1.31,
              0.31789687738723926,
              -0.06270938041991563,
              0.8090143045156363,
              -0.20553580203585728
            ],
            [
              1.315,
              0.3219929923605343,
              -0.06374163154822235,
              0.8295550497184155,
              -0.20734038789475967
            ],
            [
              1.32,
              0.3261936977197723,
              -0.06478252339805285,
              0.8508578194645829,
              -0.208988339575352
            ],
            [
              1.325,
              0.33050291718031205,
              -0.06583121408760163,
              0.8729687017918915,
              -0.21045566940508365
            ],
            [
              1.33,
              0.33492481503089144,
              -0.06688673387016217,
              0.8959379137173877,
              -0.21171514110021517
            ],
            [
              1.335,
              0.3394638179666714,
              -0.06794796765193463,
              0.9198202873541426,
              -0.2127357597113548
            ],
            [
              1.34,
              0.34412463952463407,
              -0.06901363472856747,
              0.9446758265823134,
              -0.21348216603239395
            ],
            [
              1.345,
              0.3489123075035264,
              -0.07008226521188018,
              0.970570346401883,
              -0.21391391432801515
            ],
            [
              1.35,
              0.3538321948169385,
              -0.07115217249943767,
              0.9975762094756407,
              -0.21398460678102268
            ],
            [
              1.355,
              0.3588900543076458,
              -0.07222142098974568,
              1.0257731772644363,
              -0.21364085098760907
            ],
            [
              1.36,
              0.3640920581468652,
              -0.07328778805541877,
              1.0552493966752299,
              -0.21282099758876033
            ],
            [
              1.365,
              0.36944484255702364,
              -0.07434871904311613,
              1.0861025474198653,
              -0.21145360296268348
            ],
            [
              1.37,
              0.3749555587351901,
              -0.07540127375523867,
              1.1184411804735062,
              -0.20945554576129277
            ],
            [
              1.375,
              0.3806319310214653,
              -0.07644206246093993,
              1.1523862842970758,
              -0.20672970446775898
            ],
            [
              1.3800000000000001,
              0.38648232355822104,
              -0.0774671689506357,
              1.1880731230202888,
              -0.20316207396866975
            ],
            [
              1.385,
              0.39251581692878335,
              -0.07847205744388258,
              1.225653399712151,
              -0.19861815933508864
            ],
            [
              1.3900000000000001,
              0.39874229655513044,
              -0.07945145922180981,
              1.2652978082346729,
              -0.19293843017346618
            ],
            [
              1.395,
              0.4051725549802511,
              -0.08039923359186348,
              1.3071990487840024,
              -0.185932542537908
            ],
            [
              1.4000000000000001,
              0.41181841056671126,
              -0.08130819607418699,
              1.3515753943607627,
              -0.1773719277999272
            ],
            [
              1.405,
              0.4186928456075681,
              -0.08216990433534802,
              1.3986749063286759,
              -0.16698019441733958
            ],
            [
              1.41,
              0.425810167354599,
              -0.08297438910504301,
              1.4487804031074198,
              -0.1544205668222014
            ],
            [
              1.415,
              0.4331861959793786,
              -0.08370981267296508,
              1.502215279041877,
              -0.13927926084104936
            ],
            [
              1.42,
              0.44083848389556574,
              -0.0843620309340325,
              1.5593502347741188,
              -0.12104321224559075
            ],
            [
              1.425,
              0.4487865709723679,
              -0.08491402533810402,
              1.6206108844404412,
              -0.09906984621182802
            ],
            [
              1.43,
              0.45705227951842087,
              -0.08534515694648384,
              1.6864859855939394,
              -0.0725454574312562
            ],
            [
              1.435,
              0.4656600506140249,
              -0.08563017361425994,
              1.7575355675551994,
              -0.04042702672668978
            ],
            [
              1.44,
              0.47463731759012845,
              -0.08573786907016819,
              1.8343972521764584,
              -0.001359533795503116
            ],
            [
              1.445,
              0.48401489944398784,
              -0.08562924271176985,
              1.9177870234712482,
              0.04644363421311542
            ],
            [
              1.45,
              0.49382736892720636,
              -0.08525493020278317,
              2.008486446058113,
              0.10537687307236067
            ],
            [
              1.455,
              0.5041132903057852,
              -0.08455154888891842,
              2.1072993038986243,
              0.17870689149322597
            ],
            [
              1.46,
              0.5149150940627907,
              -0.08343639774860291,
              2.214941062109342,
              0.2709771914629388
            ],
            [
              1.465,
              0.5262780785785004,
              -0.08179961967616488,
              2.331781026900509,
              0.3886360317331744
            ],
            [
              1.47,
              0.5382474138306338,
              -0.07949240531091101,
              2.4572575848155944,
              0.5410180143779075
            ],
            [
              1.475,
              0.5508606245325023,
              -0.07630904150273317,
              2.5885542909717167,
              0.7418556781142712
            ],
            [
              1.4768594442876055,
              0.5557194967457446,
              -0.0748466662369848,
              2.63751391545096,
              0.8327361312621623
            ]
          ],
          "initialJacobi": 3.9851632652316877,
          "maximumJacobiError": 1.0011691717730264e-08,
          "ending": "supplied-companion-surface",
          "duration": 1.4768594442876055,
          "step": 0.001,
          "companionRadius": 0.0815110688,
          "ownerExclusionRadius": 0.06,
          "timeMeaning": "Frozen current-binary orbital angular-frequency units; independent of removed mass",
          "masslessTestTrajectories": true
        },
        "adiabatic": {
          "status": "growing-overfill",
          "stellarResponse": -0.3333333333333333,
          "exactHull": [
            1.384179847250648,
            1.384180260602292
          ],
          "fittedLobeResponse": 1.3771484704065236,
          "exactLobeResponse": 1.38418005392647,
          "signedMargin": -1.7104818037398568,
          "numericalCertificate": false
        },
        "thermal": {
          "status": "growing-overfill",
          "stellarResponse": 0,
          "exactHull": [
            1.384179847250648,
            1.384180260602292
          ],
          "fittedLobeResponse": 1.3771484704065236,
          "exactLobeResponse": 1.38418005392647,
          "signedMargin": -1.3771484704065236,
          "numericalCertificate": false
        },
        "showsOverflowTracers": true,
        "massSequence": [
          {
            "fraction": 0,
            "removed": 0,
            "donor": 1.5,
            "accretor": 1,
            "escapedMass": 0,
            "massRatio": 1.5,
            "separation": 1,
            "periodRatio": 1,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.75,
            "orbitalEnergyChange": 0,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0008,
            "removed": 0.0012000000000000001,
            "donor": 1.4988,
            "accretor": 1.0012,
            "escapedMass": 0,
            "massRatio": 1.4970035956851775,
            "separation": 0.9992023974447302,
            "periodRatio": 0.9988038347625064,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.750898198321729,
            "orbitalEnergyChange": -0.0008981983217289935,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0016,
            "removed": 0.0024000000000000002,
            "donor": 1.4976,
            "accretor": 1.0024,
            "escapedMass": 0,
            "massRatio": 1.4940143655227456,
            "separation": 0.9984095795955936,
            "periodRatio": 0.9976153181838683,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7517927865876746,
            "orbitalEnergyChange": -0.0017927865876745663,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0024,
            "removed": 0.0036,
            "donor": 1.4964,
            "accretor": 1.0036,
            "escapedMass": 0,
            "massRatio": 1.4910322837783976,
            "separation": 0.997621531262234,
            "periodRatio": 0.9964344191526324,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.752683754780169,
            "orbitalEnergyChange": -0.002683754780169023,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0032,
            "removed": 0.0048000000000000004,
            "donor": 1.4952,
            "accretor": 1.0048,
            "escapedMass": 0,
            "massRatio": 1.4880573248407645,
            "separation": 0.9968382373666007,
            "periodRatio": 0.9952611068063113,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7535710929232144,
            "orbitalEnergyChange": -0.0035710929232144473,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.004,
            "removed": 0.006,
            "donor": 1.494,
            "accretor": 1.006,
            "escapedMass": 0,
            "massRatio": 1.485089463220676,
            "separation": 0.9960596829422795,
            "periodRatio": 0.9940953505296329,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7544547910825816,
            "orbitalEnergyChange": -0.004454791082581622,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0048,
            "removed": 0.0072,
            "donor": 1.4928,
            "accretor": 1.0072,
            "escapedMass": 0,
            "massRatio": 1.4821286735504366,
            "separation": 0.9952858531338288,
            "periodRatio": 0.9929371199528076,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7553348393659067,
            "orbitalEnergyChange": -0.0053348393659067295,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.005600000000000001,
            "removed": 0.008400000000000001,
            "donor": 1.4916,
            "accretor": 1.0084,
            "escapedMass": 0,
            "massRatio": 1.4791749305831021,
            "separation": 0.9945167331961201,
            "periodRatio": 0.9917863849498088,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7562112279227903,
            "orbitalEnergyChange": -0.0062112279227902745,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0064,
            "removed": 0.009600000000000001,
            "donor": 1.4904,
            "accretor": 1.0096,
            "escapedMass": 0,
            "massRatio": 1.476228209191759,
            "separation": 0.9937523084936875,
            "periodRatio": 0.9906431156366747,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7570839469448932,
            "orbitalEnergyChange": -0.007083946944893227,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0072,
            "removed": 0.0108,
            "donor": 1.4892,
            "accretor": 1.0108,
            "escapedMass": 0,
            "massRatio": 1.473288484368817,
            "separation": 0.9929925645000813,
            "periodRatio": 0.9895072823698271,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.757952986666033,
            "orbitalEnergyChange": -0.007952986666032946,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.008,
            "removed": 0.012,
            "donor": 1.488,
            "accretor": 1.012,
            "escapedMass": 0,
            "massRatio": 1.4703557312252964,
            "separation": 0.9922374867972275,
            "periodRatio": 0.9883788557444012,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7588183373622807,
            "orbitalEnergyChange": -0.00881833736228066,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0088,
            "removed": 0.0132,
            "donor": 1.4868,
            "accretor": 1.0132,
            "escapedMass": 0,
            "massRatio": 1.4674299249901301,
            "separation": 0.9914870610747949,
            "periodRatio": 0.9872578065926013,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7596799893520545,
            "orbitalEnergyChange": -0.009679989352054497,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0096,
            "removed": 0.0144,
            "donor": 1.4856,
            "accretor": 1.0144,
            "escapedMass": 0,
            "massRatio": 1.4645110410094637,
            "separation": 0.9907412731295641,
            "periodRatio": 0.986144105982061,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7605379329962179,
            "orbitalEnergyChange": -0.010537932996217858,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0104,
            "removed": 0.0156,
            "donor": 1.4844,
            "accretor": 1.0156,
            "escapedMass": 0,
            "massRatio": 1.4615990547459627,
            "separation": 0.990000108864808,
            "periodRatio": 0.9850377252142327,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7613921586981705,
            "orbitalEnergyChange": -0.011392158698170451,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.011200000000000002,
            "removed": 0.016800000000000002,
            "donor": 1.4832,
            "accretor": 1.0168,
            "escapedMass": 0,
            "massRatio": 1.4586939417781277,
            "separation": 0.9892635542896732,
            "periodRatio": 0.9839386358227821,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7622426569039444,
            "orbitalEnergyChange": -0.012242656903944438,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.012,
            "removed": 0.018000000000000002,
            "donor": 1.482,
            "accretor": 1.018,
            "escapedMass": 0,
            "massRatio": 1.455795677799607,
            "separation": 0.9885315955185682,
            "periodRatio": 0.9828468095720038,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7630894181022976,
            "orbitalEnergyChange": -0.013089418102297579,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0128,
            "removed": 0.019200000000000002,
            "donor": 1.4808,
            "accretor": 1.0192,
            "escapedMass": 0,
            "massRatio": 1.452904238618524,
            "separation": 0.9878042187705586,
            "periodRatio": 0.9817622184552526,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7639324328248063,
            "orbitalEnergyChange": -0.013932432824806273,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.013600000000000001,
            "removed": 0.0204,
            "donor": 1.4796,
            "accretor": 1.0204,
            "escapedMass": 0,
            "massRatio": 1.4500196001568013,
            "separation": 0.9870814103687676,
            "periodRatio": 0.9806848346933901,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7647716916459575,
            "orbitalEnergyChange": -0.014771691645957485,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0144,
            "removed": 0.0216,
            "donor": 1.4784,
            "accretor": 1.0216,
            "escapedMass": 0,
            "massRatio": 1.447141738449491,
            "separation": 0.9863631567397794,
            "periodRatio": 0.9796146307332432,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7656071851832427,
            "orbitalEnergyChange": -0.015607185183242667,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0152,
            "removed": 0.0228,
            "donor": 1.4772,
            "accretor": 1.0228,
            "escapedMass": 0,
            "massRatio": 1.4442706296441143,
            "separation": 0.9856494444130534,
            "periodRatio": 0.9785515792460867,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7664389040972459,
            "orbitalEnergyChange": -0.01643890409724591,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.016,
            "removed": 0.024,
            "donor": 1.476,
            "accretor": 1.024,
            "escapedMass": 0,
            "massRatio": 1.44140625,
            "separation": 0.9849402600203354,
            "periodRatio": 0.9774956531261267,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7672668390917409,
            "orbitalEnergyChange": -0.01726683909174087,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0168,
            "removed": 0.0252,
            "donor": 1.4748,
            "accretor": 1.0252,
            "escapedMass": 0,
            "massRatio": 1.438548575887632,
            "separation": 0.9842355902950854,
            "periodRatio": 0.9764468254890167,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7680909809137745,
            "orbitalEnergyChange": -0.01809098091377448,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0176,
            "removed": 0.0264,
            "donor": 1.4736,
            "accretor": 1.0264,
            "escapedMass": 0,
            "massRatio": 1.4356975837879968,
            "separation": 0.9835354220718998,
            "periodRatio": 0.9754050696703722,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7689113203537629,
            "orbitalEnergyChange": -0.01891132035376286,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0184,
            "removed": 0.0276,
            "donor": 1.4724,
            "accretor": 1.0276,
            "escapedMass": 0,
            "massRatio": 1.4328532502919422,
            "separation": 0.9828397422859454,
            "periodRatio": 0.9743703592243103,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7697278482455788,
            "orbitalEnergyChange": -0.019727848245578827,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0192,
            "removed": 0.0288,
            "donor": 1.4712,
            "accretor": 1.0288,
            "escapedMass": 0,
            "massRatio": 1.4300155520995337,
            "separation": 0.982148537972398,
            "periodRatio": 0.973342667922001,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7705405554666401,
            "orbitalEnergyChange": -0.02054055546664013,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.02,
            "removed": 0.03,
            "donor": 1.47,
            "accretor": 1.03,
            "escapedMass": 0,
            "massRatio": 1.4271844660194175,
            "separation": 0.9814617962658833,
            "periodRatio": 0.972321969750231,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7713494329380001,
            "orbitalEnergyChange": -0.021349432938000068,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0208,
            "removed": 0.0312,
            "donor": 1.4688,
            "accretor": 1.0312,
            "escapedMass": 0,
            "massRatio": 1.4243599689681927,
            "separation": 0.9807795043999262,
            "periodRatio": 0.9713082389099855,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7721544716244347,
            "orbitalEnergyChange": -0.022154471624434735,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0216,
            "removed": 0.0324,
            "donor": 1.4676,
            "accretor": 1.0324,
            "escapedMass": 0,
            "massRatio": 1.4215420379697792,
            "separation": 0.9801016497064023,
            "periodRatio": 0.9703014498150383,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7729556625345321,
            "orbitalEnergyChange": -0.022955662534532073,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.022400000000000003,
            "removed": 0.033600000000000005,
            "donor": 1.4664,
            "accretor": 1.0336,
            "escapedMass": 0,
            "massRatio": 1.4187306501547985,
            "separation": 0.9794282196149988,
            "periodRatio": 0.969301577090566,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7737529967207764,
            "orbitalEnergyChange": -0.023752996720776354,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0232,
            "removed": 0.0348,
            "donor": 1.4652,
            "accretor": 1.0348,
            "escapedMass": 0,
            "massRatio": 1.4159257827599538,
            "separation": 0.9787592016526737,
            "periodRatio": 0.9683085955717621,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7745464652796392,
            "orbitalEnergyChange": -0.024546465279639218,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.024,
            "removed": 0.036000000000000004,
            "donor": 1.464,
            "accretor": 1.036,
            "escapedMass": 0,
            "massRatio": 1.413127413127413,
            "separation": 0.9780945834431269,
            "periodRatio": 0.9673224803024785,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7753360593516626,
            "orbitalEnergyChange": -0.02533605935166261,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0248,
            "removed": 0.0372,
            "donor": 1.4628,
            "accretor": 1.0372,
            "escapedMass": 0,
            "massRatio": 1.410335518704204,
            "separation": 0.9774343527062727,
            "periodRatio": 0.9663432065338724,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7761217701215462,
            "orbitalEnergyChange": -0.02612177012154615,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0256,
            "removed": 0.038400000000000004,
            "donor": 1.4616,
            "accretor": 1.0384,
            "escapedMass": 0,
            "massRatio": 1.4075500770416025,
            "separation": 0.9767784972577164,
            "periodRatio": 0.9653707497230688,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7769035888182325,
            "orbitalEnergyChange": -0.026903588818232516,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0264,
            "removed": 0.039599999999999996,
            "donor": 1.4604,
            "accretor": 1.0396,
            "escapedMass": 0,
            "massRatio": 1.4047710657945363,
            "separation": 0.9761270050082387,
            "periodRatio": 0.9644050855318368,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7776815067149925,
            "orbitalEnergyChange": -0.027681506714992477,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.027200000000000002,
            "removed": 0.0408,
            "donor": 1.4592,
            "accretor": 1.0408,
            "escapedMass": 0,
            "massRatio": 1.401998462720984,
            "separation": 0.9754798639632832,
            "periodRatio": 0.96344618982528,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.778455515129508,
            "orbitalEnergyChange": -0.028455515129507947,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.028000000000000004,
            "removed": 0.04200000000000001,
            "donor": 1.458,
            "accretor": 1.042,
            "escapedMass": 0,
            "massRatio": 1.399232245681382,
            "separation": 0.974837062222447,
            "periodRatio": 0.9624940386705361,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7792256054239591,
            "orbitalEnergyChange": -0.029225605423959133,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0288,
            "removed": 0.0432,
            "donor": 1.4568,
            "accretor": 1.0432,
            "escapedMass": 0,
            "massRatio": 1.3964723926380371,
            "separation": 0.9741985879789802,
            "periodRatio": 0.9615486083354957,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7799917690051048,
            "orbitalEnergyChange": -0.029991769005104807,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0296,
            "removed": 0.0444,
            "donor": 1.4556,
            "accretor": 1.0444,
            "escapedMass": 0,
            "massRatio": 1.3937188816545385,
            "separation": 0.9735644295192869,
            "periodRatio": 0.9606098752875294,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7807539973243668,
            "orbitalEnergyChange": -0.03075399732436679,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0304,
            "removed": 0.0456,
            "donor": 1.4544,
            "accretor": 1.0456,
            "escapedMass": 0,
            "massRatio": 1.3909716908951797,
            "separation": 0.9729345752224311,
            "periodRatio": 0.9596778161922276,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7815122818779129,
            "orbitalEnergyChange": -0.031512281877912884,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.031200000000000002,
            "removed": 0.0468,
            "donor": 1.4532,
            "accretor": 1.0468,
            "escapedMass": 0,
            "massRatio": 1.3882307986243791,
            "separation": 0.9723090135596487,
            "periodRatio": 0.958752407912156,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7822666142067384,
            "orbitalEnergyChange": -0.032266614206738375,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.032,
            "removed": 0.048,
            "donor": 1.452,
            "accretor": 1.048,
            "escapedMass": 0,
            "massRatio": 1.3854961832061068,
            "separation": 0.9716877330938639,
            "periodRatio": 0.9578336275056226,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7830169858967468,
            "orbitalEnergyChange": -0.03301698589674684,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0328,
            "removed": 0.04920000000000001,
            "donor": 1.4508,
            "accretor": 1.0492,
            "escapedMass": 0,
            "massRatio": 1.382767823103317,
            "separation": 0.971070722479207,
            "periodRatio": 0.9569214522254529,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7837633885788342,
            "orbitalEnergyChange": -0.03376338857883421,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0336,
            "removed": 0.0504,
            "donor": 1.4496,
            "accretor": 1.0504,
            "escapedMass": 0,
            "massRatio": 1.38004569687738,
            "separation": 0.9704579704605428,
            "periodRatio": 0.9560158595177859,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7845058139289653,
            "orbitalEnergyChange": -0.034505813928965345,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0344,
            "removed": 0.0516,
            "donor": 1.4484,
            "accretor": 1.0516,
            "escapedMass": 0,
            "massRatio": 1.3773297831875235,
            "separation": 0.9698494658729969,
            "periodRatio": 0.9551168270208731,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7852442536682579,
            "orbitalEnergyChange": -0.0352442536682579,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0352,
            "removed": 0.0528,
            "donor": 1.4472,
            "accretor": 1.0528,
            "escapedMass": 0,
            "massRatio": 1.3746200607902737,
            "separation": 0.9692451976414918,
            "periodRatio": 0.9542243325638972,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7859786995630592,
            "orbitalEnergyChange": -0.03597869956305921,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.036000000000000004,
            "removed": 0.054000000000000006,
            "donor": 1.446,
            "accretor": 1.054,
            "escapedMass": 0,
            "massRatio": 1.3719165085388993,
            "separation": 0.9686451547802833,
            "periodRatio": 0.9533383541657974,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7867091434250276,
            "orbitalEnergyChange": -0.036709143425027624,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0368,
            "removed": 0.0552,
            "donor": 1.4448,
            "accretor": 1.0552,
            "escapedMass": 0,
            "massRatio": 1.369219105382866,
            "separation": 0.9680493263925044,
            "periodRatio": 0.9524588700341093,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7874355771112103,
            "orbitalEnergyChange": -0.03743557711121026,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0376,
            "removed": 0.056400000000000006,
            "donor": 1.4436,
            "accretor": 1.0564,
            "escapedMass": 0,
            "massRatio": 1.3665278303672852,
            "separation": 0.967457701669712,
            "periodRatio": 0.951585858563817,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7881579925241209,
            "orbitalEnergyChange": -0.03815799252412089,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0384,
            "removed": 0.0576,
            "donor": 1.4424,
            "accretor": 1.0576,
            "escapedMass": 0,
            "massRatio": 1.363842662632375,
            "separation": 0.9668702698914379,
            "periodRatio": 0.9507192983362144,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7888763816118186,
            "orbitalEnergyChange": -0.03887638161181861,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0392,
            "removed": 0.0588,
            "donor": 1.4412,
            "accretor": 1.0588,
            "escapedMass": 0,
            "massRatio": 1.3611635814129204,
            "separation": 0.9662870204247446,
            "periodRatio": 0.9498591681177808,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7895907363679848,
            "orbitalEnergyChange": -0.039590736367984825,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.04,
            "removed": 0.06,
            "donor": 1.44,
            "accretor": 1.06,
            "escapedMass": 0,
            "massRatio": 1.3584905660377358,
            "separation": 0.9657079427237846,
            "periodRatio": 0.949005446859065,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.790301048832,
            "orbitalEnergyChange": -0.04030104883200003,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0408,
            "removed": 0.061200000000000004,
            "donor": 1.4388,
            "accretor": 1.0612,
            "escapedMass": 0,
            "massRatio": 1.355823595929137,
            "separation": 0.9651330263293658,
            "periodRatio": 0.9481581136935852,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7910073110890199,
            "orbitalEnergyChange": -0.04100731108901989,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0416,
            "removed": 0.0624,
            "donor": 1.4376,
            "accretor": 1.0624,
            "escapedMass": 0,
            "massRatio": 1.3531626506024097,
            "separation": 0.9645622608685175,
            "periodRatio": 0.9473171479367335,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7917095152700525,
            "orbitalEnergyChange": -0.04170951527005251,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0424,
            "removed": 0.0636,
            "donor": 1.4364,
            "accretor": 1.0636,
            "escapedMass": 0,
            "massRatio": 1.3505077096652875,
            "separation": 0.9639956360540652,
            "periodRatio": 0.9464825290847005,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7924076535520315,
            "orbitalEnergyChange": -0.042407653552031466,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0432,
            "removed": 0.0648,
            "donor": 1.4352,
            "accretor": 1.0648,
            "escapedMass": 0,
            "massRatio": 1.3478587528174306,
            "separation": 0.963433141684206,
            "periodRatio": 0.9456542368134025,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7931017181578924,
            "orbitalEnergyChange": -0.04310171815789243,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044000000000000004,
            "removed": 0.066,
            "donor": 1.434,
            "accretor": 1.066,
            "escapedMass": 0,
            "massRatio": 1.3452157598499062,
            "separation": 0.9628747676420882,
            "periodRatio": 0.9448322509774233,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7937917013566477,
            "orbitalEnergyChange": -0.04379170135664767,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044800000000000006,
            "removed": 0.06720000000000001,
            "donor": 1.4328,
            "accretor": 1.0672,
            "escapedMass": 0,
            "massRatio": 1.3425787106446778,
            "separation": 0.9623205038953984,
            "periodRatio": 0.9440165516089695,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7944775954634586,
            "orbitalEnergyChange": -0.04447759546345864,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0456,
            "removed": 0.0684,
            "donor": 1.4316,
            "accretor": 1.0684,
            "escapedMass": 0,
            "massRatio": 1.339947585174092,
            "separation": 0.9617703404959472,
            "periodRatio": 0.94320711891683,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7951593928397115,
            "orbitalEnergyChange": -0.04515939283971149,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0464,
            "removed": 0.0696,
            "donor": 1.4304000000000001,
            "accretor": 1.0695999999999999,
            "escapedMass": 0,
            "massRatio": 1.3373223635003741,
            "separation": 0.9612242675792642,
            "periodRatio": 0.9424039332853529,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7958370858930885,
            "orbitalEnergyChange": -0.04583708589308855,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0472,
            "removed": 0.0708,
            "donor": 1.4292,
            "accretor": 1.0708,
            "escapedMass": 0,
            "massRatio": 1.3347030257751216,
            "separation": 0.9606822753641936,
            "periodRatio": 0.9416069752734304,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7965106670776412,
            "orbitalEnergyChange": -0.04651066707764118,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048,
            "removed": 0.07200000000000001,
            "donor": 1.428,
            "accretor": 1.072,
            "escapedMass": 0,
            "massRatio": 1.3320895522388059,
            "separation": 0.9601443541524953,
            "periodRatio": 0.9408162256134918,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7971801288938619,
            "orbitalEnergyChange": -0.04718012889386192,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048799999999999996,
            "removed": 0.07319999999999999,
            "donor": 1.4268,
            "accretor": 1.0732,
            "escapedMass": 0,
            "massRatio": 1.329481923220276,
            "separation": 0.9596104943284487,
            "periodRatio": 0.9400316652105106,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7978454638887563,
            "orbitalEnergyChange": -0.04784546388875632,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0496,
            "removed": 0.0744,
            "donor": 1.4256,
            "accretor": 1.0744,
            "escapedMass": 0,
            "massRatio": 1.326880119136262,
            "separation": 0.9590806863584613,
            "periodRatio": 0.9392532751410204,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7985066646559144,
            "orbitalEnergyChange": -0.048506664655914355,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0504,
            "removed": 0.0756,
            "donor": 1.4243999999999999,
            "accretor": 1.0756000000000001,
            "escapedMass": 0,
            "massRatio": 1.3242841204908886,
            "separation": 0.9585549207906817,
            "periodRatio": 0.9384810366521412,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7991637238355794,
            "orbitalEnergyChange": -0.04916372383557943,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0512,
            "removed": 0.07680000000000001,
            "donor": 1.4232,
            "accretor": 1.0768,
            "escapedMass": 0,
            "massRatio": 1.3216939078751857,
            "separation": 0.9580331882546147,
            "periodRatio": 0.9377149311606156,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7998166341147201,
            "orbitalEnergyChange": -0.04981663411472015,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.052000000000000005,
            "removed": 0.07800000000000001,
            "donor": 1.422,
            "accretor": 1.078,
            "escapedMass": 0,
            "massRatio": 1.3191094619666046,
            "separation": 0.957515479460741,
            "periodRatio": 0.9369549402518544,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8004653882271001,
            "orbitalEnergyChange": -0.050465388227100116,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0528,
            "removed": 0.07919999999999999,
            "donor": 1.4208,
            "accretor": 1.0792,
            "escapedMass": 0,
            "massRatio": 1.3165307635285397,
            "separation": 0.9570017852001417,
            "periodRatio": 0.9362010456789949,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8011099789533459,
            "orbitalEnergyChange": -0.0511099789533459,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0536,
            "removed": 0.0804,
            "donor": 1.4196,
            "accretor": 1.0804,
            "escapedMass": 0,
            "massRatio": 1.313957793409848,
            "separation": 0.9564920963441251,
            "periodRatio": 0.9354532293619661,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8017503991210164,
            "orbitalEnergyChange": -0.05175039912101642,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.054400000000000004,
            "removed": 0.0816,
            "donor": 1.4184,
            "accretor": 1.0816,
            "escapedMass": 0,
            "massRatio": 1.3113905325443789,
            "separation": 0.9559864038438582,
            "periodRatio": 0.9347114733865656,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8023866416046708,
            "orbitalEnergyChange": -0.05238664160467077,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.055200000000000006,
            "removed": 0.08280000000000001,
            "donor": 1.4172,
            "accretor": 1.0828,
            "escapedMass": 0,
            "massRatio": 1.3088289619504987,
            "separation": 0.9554846987300005,
            "periodRatio": 0.9339757600035445,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8030186993259373,
            "orbitalEnergyChange": -0.05301869932593728,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.05600000000000001,
            "removed": 0.08400000000000002,
            "donor": 1.416,
            "accretor": 1.084,
            "escapedMass": 0,
            "massRatio": 1.3062730627306272,
            "separation": 0.9549869721123433,
            "periodRatio": 0.9332460716277042,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8036465652535789,
            "orbitalEnergyChange": -0.053646565253578915,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.056799999999999996,
            "removed": 0.0852,
            "donor": 1.4148,
            "accretor": 1.0852,
            "escapedMass": 0,
            "massRatio": 1.3037228160707706,
            "separation": 0.9544932151794515,
            "periodRatio": 0.9325223908370016,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8042702324035614,
            "orbitalEnergyChange": -0.054270232403561436,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0576,
            "removed": 0.0864,
            "donor": 1.4136,
            "accretor": 1.0864,
            "escapedMass": 0,
            "massRatio": 1.301178203240059,
            "separation": 0.9540034191983091,
            "periodRatio": 0.9318047003716627,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8048896938391193,
            "orbitalEnergyChange": -0.05488969383911935,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0584,
            "removed": 0.0876,
            "donor": 1.4124,
            "accretor": 1.0876,
            "escapedMass": 0,
            "massRatio": 1.2986392055902907,
            "separation": 0.9535175755139684,
            "periodRatio": 0.9310929831333085,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8055049426708216,
            "orbitalEnergyChange": -0.05550494267082162,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0592,
            "removed": 0.0888,
            "donor": 1.4112,
            "accretor": 1.0888,
            "escapedMass": 0,
            "massRatio": 1.2961058045554739,
            "separation": 0.9530356755492033,
            "periodRatio": 0.9303872221840872,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8061159720566373,
            "orbitalEnergyChange": -0.05611597205663732,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06,
            "removed": 0.09,
            "donor": 1.41,
            "accretor": 1.09,
            "escapedMass": 0,
            "massRatio": 1.293577981651376,
            "separation": 0.952557710804165,
            "periodRatio": 0.9296874007458179,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8067227752019999,
            "orbitalEnergyChange": -0.056722775201999864,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0608,
            "removed": 0.0912,
            "donor": 1.4088,
            "accretor": 1.0912,
            "escapedMass": 0,
            "massRatio": 1.2910557184750735,
            "separation": 0.9520836728560417,
            "periodRatio": 0.928993502199142,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8073253453598728,
            "orbitalEnergyChange": -0.05732534535987277,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0616,
            "removed": 0.09240000000000001,
            "donor": 1.4076,
            "accretor": 1.0924,
            "escapedMass": 0,
            "massRatio": 1.2885389967045038,
            "separation": 0.9516135533587229,
            "periodRatio": 0.9283055100826851,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.807923675830812,
            "orbitalEnergyChange": -0.05792367583081204,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.062400000000000004,
            "removed": 0.0936,
            "donor": 1.4064,
            "accretor": 1.0936,
            "escapedMass": 0,
            "massRatio": 1.286027798098025,
            "separation": 0.9511473440424656,
            "periodRatio": 0.9276234080922279,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8085177599630302,
            "orbitalEnergyChange": -0.058517759963030214,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0632,
            "removed": 0.09480000000000001,
            "donor": 1.4052,
            "accretor": 1.0948,
            "escapedMass": 0,
            "massRatio": 1.2835221044939715,
            "separation": 0.9506850367135637,
            "periodRatio": 0.9269471800798827,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8091075911524604,
            "orbitalEnergyChange": -0.05910759115246045,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.064,
            "removed": 0.096,
            "donor": 1.404,
            "accretor": 1.096,
            "escapedMass": 0,
            "massRatio": 1.2810218978102188,
            "separation": 0.950226623254024,
            "periodRatio": 0.9262768100532862,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8096931628428163,
            "orbitalEnergyChange": -0.05969316284281634,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06480000000000001,
            "removed": 0.09720000000000001,
            "donor": 1.4028,
            "accretor": 1.0972,
            "escapedMass": 0,
            "massRatio": 1.2785271600437478,
            "separation": 0.9497720956212394,
            "periodRatio": 0.9256122821747911,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8102744685256578,
            "orbitalEnergyChange": -0.060274468525657765,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0656,
            "removed": 0.09840000000000002,
            "donor": 1.4016,
            "accretor": 1.0984,
            "escapedMass": 0,
            "massRatio": 1.2760378732702111,
            "separation": 0.9493214458476734,
            "periodRatio": 0.9249535807606766,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8108515017404486,
            "orbitalEnergyChange": -0.06085150174044862,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0664,
            "removed": 0.0996,
            "donor": 1.4004,
            "accretor": 1.0996,
            "escapedMass": 0,
            "massRatio": 1.273554019643507,
            "separation": 0.9488746660405413,
            "periodRatio": 0.924300690280361,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8114242560746203,
            "orbitalEnergyChange": -0.06142425607462032,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0672,
            "removed": 0.1008,
            "donor": 1.3992,
            "accretor": 1.1008,
            "escapedMass": 0,
            "massRatio": 1.271075581395349,
            "separation": 0.9484317483814977,
            "periodRatio": 0.9236535953556249,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8119927251636315,
            "orbitalEnergyChange": -0.061992725163631524,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.068,
            "removed": 0.10200000000000001,
            "donor": 1.398,
            "accretor": 1.102,
            "escapedMass": 0,
            "massRatio": 1.2686025408348456,
            "separation": 0.9479926851263272,
            "periodRatio": 0.9230122807598428,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8125569026910286,
            "orbitalEnergyChange": -0.06255690269102865,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0688,
            "removed": 0.1032,
            "donor": 1.3968,
            "accretor": 1.1032,
            "escapedMass": 0,
            "massRatio": 1.2661348803480783,
            "separation": 0.9475574686046383,
            "periodRatio": 0.9223767314172251,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8131167823885046,
            "orbitalEnergyChange": -0.0631167823885046,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0696,
            "removed": 0.10439999999999999,
            "donor": 1.3956,
            "accretor": 1.1044,
            "escapedMass": 0,
            "massRatio": 1.263672582397682,
            "separation": 0.9471260912195589,
            "periodRatio": 0.9217469324020643,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8136723580359597,
            "orbitalEnergyChange": -0.06367235803595972,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0704,
            "removed": 0.1056,
            "donor": 1.3944,
            "accretor": 1.1056,
            "escapedMass": 0,
            "massRatio": 1.2612156295224315,
            "separation": 0.9466985454474386,
            "periodRatio": 0.9211228689379949,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8142236234615581,
            "orbitalEnergyChange": -0.06422362346155808,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0712,
            "removed": 0.1068,
            "donor": 1.3932,
            "accretor": 1.1068,
            "escapedMass": 0,
            "massRatio": 1.258764004336827,
            "separation": 0.94627482383755,
            "periodRatio": 0.9205045263972567,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8147705725417878,
            "orbitalEnergyChange": -0.06477057254178775,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07200000000000001,
            "removed": 0.10800000000000001,
            "donor": 1.392,
            "accretor": 1.108,
            "escapedMass": 0,
            "massRatio": 1.2563176895306858,
            "separation": 0.9458549190117965,
            "periodRatio": 0.9198918902999702,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8153131992015173,
            "orbitalEnergyChange": -0.06531319920151735,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0728,
            "removed": 0.1092,
            "donor": 1.3908,
            "accretor": 1.1092,
            "escapedMass": 0,
            "massRatio": 1.2538766678687343,
            "separation": 0.9454388236644209,
            "periodRatio": 0.9192849463134171,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8158514974140545,
            "orbitalEnergyChange": -0.0658514974140545,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0736,
            "removed": 0.1104,
            "donor": 1.3896,
            "accretor": 1.1104,
            "escapedMass": 0,
            "massRatio": 1.2514409221902016,
            "separation": 0.9450265305617203,
            "periodRatio": 0.9186836802513326,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8163854612012,
            "orbitalEnergyChange": -0.06638546120120004,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07440000000000001,
            "removed": 0.1116,
            "donor": 1.3884,
            "accretor": 1.1116,
            "escapedMass": 0,
            "massRatio": 1.2490104354084204,
            "separation": 0.944618032541759,
            "periodRatio": 0.918088078073201,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.816915084633308,
            "orbitalEnergyChange": -0.06691508463330798,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0752,
            "removed": 0.11280000000000001,
            "donor": 1.3872,
            "accretor": 1.1128,
            "escapedMass": 0,
            "massRatio": 1.2465851905104242,
            "separation": 0.9442133225140906,
            "periodRatio": 0.9174981258835636,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8174403618293383,
            "orbitalEnergyChange": -0.06744036182933832,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07600000000000001,
            "removed": 0.11400000000000002,
            "donor": 1.386,
            "accretor": 1.114,
            "escapedMass": 0,
            "massRatio": 1.2441651705565528,
            "separation": 0.9438123934594785,
            "periodRatio": 0.916913809931333,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8179612869569136,
            "orbitalEnergyChange": -0.06796128695691361,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0768,
            "removed": 0.1152,
            "donor": 1.3848,
            "accretor": 1.1152,
            "escapedMass": 0,
            "massRatio": 1.2417503586800573,
            "separation": 0.9434152384296212,
            "periodRatio": 0.9163351166091139,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8184778542323742,
            "orbitalEnergyChange": -0.06847785423237418,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0776,
            "removed": 0.1164,
            "donor": 1.3836,
            "accretor": 1.1164,
            "escapedMass": 0,
            "massRatio": 1.2393407380867072,
            "separation": 0.9430218505468819,
            "periodRatio": 0.9157620324525356,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8189900579208309,
            "orbitalEnergyChange": -0.0689900579208309,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0784,
            "removed": 0.1176,
            "donor": 1.3824,
            "accretor": 1.1176,
            "escapedMass": 0,
            "massRatio": 1.2369362920544025,
            "separation": 0.9426322230040182,
            "periodRatio": 0.9151945441395863,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8194978923362215,
            "orbitalEnergyChange": -0.0694978923362215,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07919999999999999,
            "removed": 0.11879999999999999,
            "donor": 1.3812,
            "accretor": 1.1188,
            "escapedMass": 0,
            "massRatio": 1.2345370039327852,
            "separation": 0.9422463490639174,
            "periodRatio": 0.9146326384899613,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8200013518413619,
            "orbitalEnergyChange": -0.07000135184136191,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.08,
            "removed": 0.12,
            "donor": 1.38,
            "accretor": 1.12,
            "escapedMass": 0,
            "massRatio": 1.232142857142857,
            "separation": 0.9418642220593341,
            "periodRatio": 0.9140763024644158,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8205004308480001,
            "orbitalEnergyChange": -0.07050043084800006,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          }
        ],
        "continuationNote": "Mass sequence is prescribed stripping. A detached snapshot is not sustained self-driven Roche overflow."
      }
    },
    {
      "name": "thermal",
      "actual": {
        "schema": "binary-mass-transfer-v1",
        "parameters": {
          "initialMassRatio": 1.5,
          "initialFilling": 1.02,
          "removedFraction": 0.01,
          "retainedFraction": 1,
          "lossAngularMomentumFactor": 2,
          "lossChannel": "constant-specific-j",
          "adiabaticResponse": 4,
          "equilibriumResponse": 0.8,
          "launchTransverse": 0,
          "launchSpeed": 0.01,
          "commonEnvelopeEfficiency": 1,
          "scenario": "transfer"
        },
        "scenario": "transfer",
        "snapshot": {
          "fraction": 0.01,
          "removed": 0.015,
          "donor": 1.485,
          "accretor": 1.015,
          "escapedMass": 0,
          "massRatio": 1.4630541871921185,
          "separation": 0.9903701139140295,
          "periodRatio": 0.985590002402378,
          "initialAngular": 0.9486832980505138,
          "orbitalAngular": 0.9486832980505138,
          "escapedAngular": 0,
          "orbitalEnergy": -0.7609655111880936,
          "orbitalEnergyChange": -0.010965511188093635,
          "massBalanceResidual": 0,
          "angularBalanceResidual": 0,
          "effectiveLossFactor": 2
        },
        "initialRoche": {
          "massRatio": 1.5,
          "l1": 0.14161752558401758,
          "criticalPotential": 1.9904542822856293,
          "volumeRadius": 0.4160337854058123,
          "logarithmicResponse": 0.21626371701256786,
          "fittedRadius": 0.4144524461597814,
          "fittedLogarithmicResponse": 0.21349875623752634,
          "numericalResponseHull": [
            0.2162636314392205,
            0.2162638025859152
          ],
          "relativeRadiusRefinement": 9.778284464356801e-07,
          "responseRefinement": 8.557334735259658e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "currentRoche": {
          "massRatio": 1.4630541871921185,
          "l1": 0.13307129926300676,
          "criticalPotential": 1.9915794166001093,
          "volumeRadius": 0.41379075901552637,
          "logarithmicResponse": 0.2172774254750974,
          "fittedRadius": 0.4122467145385353,
          "fittedLogarithmicResponse": 0.2144458020339411,
          "numericalResponseHull": [
            0.21727734010753877,
            0.21727751084265604
          ],
          "relativeRadiusRefinement": 9.799600171334077e-07,
          "responseRefinement": 8.536755863319812e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionRoche": {
          "massRatio": 0.6835016835016834,
          "l1": -0.13307129926300687,
          "criticalPotential": 1.9915794166001088,
          "volumeRadius": 0.34682583610457013,
          "logarithmicResponse": 0.24583031507606845,
          "fittedRadius": 0.34649571354262215,
          "fittedLogarithmicResponse": 0.24154479860061023,
          "numericalResponseHull": [
            0.24583024134623827,
            0.24583038880589864
          ],
          "relativeRadiusRefinement": 1.0411101871721229e-06,
          "responseRefinement": 7.37298301856093e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionFilling": 0.232906183424135,
        "companionGeometrySupported": true,
        "filling": 0.9946979815693751,
        "donorRadius": 0.4076332021717399,
        "surface": {
          "vertices": [
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.1052652686045989,
            0,
            0,
            0.08950815245475519,
            0.052080005431665265,
            0,
            0.0894886104738617,
            0.0517926630194577,
            0.005443628239032983,
            0.08943090545862115,
            0.050933990792065356,
            0.010826353954893977,
            0.08933774745496609,
            0.04951399483913311,
            0.016088072162408817,
            0.08921348226419168,
            0.04754915890204801,
            0.02117024950548551,
            0.08906385117459331,
            0.045062166125271516,
            0.02601665374269314,
            0.08889568415332832,
            0.0420815306003089,
            0.030574021624683374,
            0.08871655043184196,
            0.03864115635892885,
            0.03479265346192473,
            0.08853439078726694,
            0.034779842454524805,
            0.038626928293782926,
            0.0883571535096841,
            0.03054075189113841,
            0.042035738740558715,
            0.0881924519664774,
            0.02597085986900308,
            0.044982848809364914,
            0.08804725684952741,
            0.021120393667766406,
            0.04743718085713707,
            0.08792763150438432,
            0.016042273013672666,
            0.049373039553051196,
            0.08783851480768129,
            0.010791556398601881,
            0.050770281160997306,
            0.08778355319561026,
            0.005424895824699218,
            0.05161443600237875,
            0.08776498171019426,
            1.4701164348050647e-17,
            0.05189679080362068,
            0.08778355319561026,
            -0.005424895824699211,
            0.05161443600237876,
            0.08783851480768129,
            -0.010791556398601887,
            0.050770281160997306,
            0.08792763150438432,
            -0.01604227301367266,
            0.0493730395530512,
            0.08804725684952741,
            -0.021120393667766392,
            0.04743718085713708,
            0.0881924519664774,
            -0.025970859869003063,
            0.04498284880936492,
            0.0883571535096841,
            -0.030540751891138404,
            0.042035738740558715,
            0.08853439078726694,
            -0.03477984245452479,
            0.03862692829378294,
            0.08871655043184196,
            -0.03864115635892884,
            0.03479265346192474,
            0.08889568415332832,
            -0.04208153060030889,
            0.03057402162468338,
            0.08906385117459331,
            -0.045062166125271516,
            0.02601665374269314,
            0.08921348226419168,
            -0.047549158902048014,
            0.021170249505485503,
            0.08933774745496609,
            -0.04951399483913311,
            0.016088072162408824,
            0.08943090545862115,
            -0.050933990792065356,
            0.010826353954893977,
            0.0894886104738617,
            -0.05179266301945771,
            0.005443628239032975,
            0.08950815245475519,
            -0.052080005431665265,
            2.950612965628176e-17,
            0.0894886104738617,
            -0.05179266301945771,
            -0.0054436282390329625,
            0.08943090545862115,
            -0.050933990792065356,
            -0.010826353954893965,
            0.08933774745496609,
            -0.049513994839133116,
            -0.016088072162408814,
            0.08921348226419168,
            -0.04754915890204801,
            -0.02117024950548551,
            0.08906385117459331,
            -0.04506216612527152,
            -0.02601665374269313,
            0.08889568415332832,
            -0.0420815306003089,
            -0.030574021624683367,
            0.08871655043184196,
            -0.03864115635892885,
            -0.03479265346192473,
            0.08853439078726694,
            -0.03477984245452482,
            -0.03862692829378292,
            0.0883571535096841,
            -0.030540751891138418,
            -0.04203573874055871,
            0.0881924519664774,
            -0.025970859869003098,
            -0.044982848809364914,
            0.08804725684952741,
            -0.021120393667766434,
            -0.04743718085713705,
            0.08792763150438432,
            -0.016042273013672673,
            -0.049373039553051196,
            0.08783851480768129,
            -0.010791556398601911,
            -0.050770281160997306,
            0.08778355319561026,
            -0.0054248958246992576,
            -0.05161443600237875,
            0.08776498171019426,
            -9.533285811551079e-18,
            -0.05189679080362068,
            0.08778355319561026,
            0.005424895824699193,
            -0.05161443600237876,
            0.08783851480768129,
            0.010791556398601892,
            -0.050770281160997306,
            0.08792763150438432,
            0.016042273013672656,
            -0.0493730395530512,
            0.08804725684952741,
            0.021120393667766375,
            -0.04743718085713708,
            0.0881924519664774,
            0.02597085986900308,
            -0.044982848809364914,
            0.0883571535096841,
            0.0305407518911384,
            -0.042035738740558715,
            0.08853439078726694,
            0.03477984245452482,
            -0.03862692829378292,
            0.08871655043184196,
            0.03864115635892885,
            -0.03479265346192473,
            0.08889568415332832,
            0.04208153060030889,
            -0.030574021624683388,
            0.08906385117459331,
            0.04506216612527152,
            -0.026016653742693126,
            0.08921348226419168,
            0.047549158902048014,
            -0.02117024950548551,
            0.08933774745496609,
            0.04951399483913311,
            -0.01608807216240883,
            0.08943090545862115,
            0.050933990792065356,
            -0.01082635395489396,
            0.0894886104738617,
            0.0517926630194577,
            -0.005443628239032981,
            0.08950815245475519,
            0.052080005431665265,
            -5.901225931256352e-17,
            0.0623503413315355,
            0.09955093821041242,
            0,
            0.06230723963590279,
            0.09899647639440315,
            0.010404948945430334,
            0.06218005348374883,
            0.09734010652695521,
            0.020690278355963276,
            0.06197500162595204,
            0.09460269232705656,
            0.030738278053722316,
            0.06170200438852402,
            0.09081841328580914,
            0.0404349627490481,
            0.06137406967486858,
            0.08603392997742494,
            0.04967171263190769,
            0.061006527239254205,
            0.08030731603307008,
            0.058346680407992194,
            0.06061618307155159,
            0.07370683642801357,
            0.06636593361218278,
            0.06022046212160115,
            0.06630965097294707,
            0.07364432822451077,
            0.05983659547257408,
            0.058200511926593916,
            0.08010613237793078,
            0.05948089156153408,
            0.04947050891670805,
            0.0856854349200275,
            0.05916811409172673,
            0.040215896423054655,
            0.09032638226170374,
            0.05891097477907653,
            0.03053702177110873,
            0.09398328917930363,
            0.05871973857181334,
            0.020537356679367912,
            0.09662066660285279,
            0.058601932845798566,
            0.01032262365827875,
            0.09821320360864445,
            0.05856214988182251,
            2.7972389638323905e-17,
            0.09874573326091364,
            0.058601932845798566,
            -0.01032262365827874,
            0.09821320360864447,
            0.05871973857181334,
            -0.020537356679367923,
            0.09662066660285279,
            0.05891097477907653,
            -0.030537021771108716,
            0.09398328917930364,
            0.05916811409172673,
            -0.04021589642305463,
            0.09032638226170375,
            0.05948089156153408,
            -0.04947050891670802,
            0.08568543492002752,
            0.05983659547257408,
            -0.05820051192659391,
            0.08010613237793078,
            0.06022046212160115,
            -0.06630965097294703,
            0.0736443282245108,
            0.06061618307155159,
            -0.07370683642801355,
            0.06636593361218278,
            0.061006527239254205,
            -0.08030731603307008,
            0.05834668040799221,
            0.06137406967486858,
            -0.08603392997742494,
            0.04967171263190769,
            0.06170200438852402,
            -0.09081841328580915,
            0.040434962749048085,
            0.06197500162595204,
            -0.09460269232705656,
            0.03073827805372233,
            0.06218005348374883,
            -0.09734010652695521,
            0.020690278355963276,
            0.06230723963590279,
            -0.09899647639440316,
            0.010404948945430316,
            0.0623503413315355,
            -0.09955093821041242,
            5.64009712728442e-17,
            0.06230723963590279,
            -0.09899647639440316,
            -0.010404948945430294,
            0.06218005348374883,
            -0.09734010652695521,
            -0.020690278355963248,
            0.06197500162595204,
            -0.09460269232705658,
            -0.030738278053722302,
            0.06170200438852402,
            -0.09081841328580914,
            -0.0404349627490481,
            0.06137406967486858,
            -0.08603392997742496,
            -0.04967171263190767,
            0.061006527239254205,
            -0.08030731603307008,
            -0.05834668040799218,
            0.06061618307155159,
            -0.07370683642801357,
            -0.06636593361218278,
            0.06022046212160115,
            -0.06630965097294708,
            -0.07364432822451074,
            0.05983659547257408,
            -0.05820051192659393,
            -0.08010613237793078,
            0.05948089156153408,
            -0.04947050891670809,
            -0.08568543492002749,
            0.05916811409172673,
            -0.04021589642305471,
            -0.09032638226170371,
            0.05891097477907653,
            -0.030537021771108737,
            -0.09398328917930363,
            0.05871973857181334,
            -0.020537356679367968,
            -0.09662066660285278,
            0.058601932845798566,
            -0.010322623658278829,
            -0.09821320360864445,
            0.05856214988182251,
            -1.813929692511543e-17,
            -0.09874573326091364,
            0.058601932845798566,
            0.010322623658278705,
            -0.09821320360864447,
            0.05871973857181334,
            0.020537356679367933,
            -0.09662066660285278,
            0.05891097477907653,
            0.030537021771108702,
            -0.09398328917930364,
            0.05916811409172673,
            0.0402158964230546,
            -0.09032638226170377,
            0.05948089156153408,
            0.04947050891670805,
            -0.0856854349200275,
            0.05983659547257408,
            0.0582005119265939,
            -0.0801061323779308,
            0.06022046212160115,
            0.06630965097294708,
            -0.07364432822451074,
            0.06061618307155159,
            0.07370683642801357,
            -0.06636593361218276,
            0.061006527239254205,
            0.08030731603307008,
            -0.058346680407992214,
            0.06137406967486858,
            0.08603392997742496,
            -0.049671712631907665,
            0.06170200438852402,
            0.09081841328580915,
            -0.0404349627490481,
            0.06197500162595204,
            0.09460269232705656,
            -0.030738278053722336,
            0.06218005348374883,
            0.09734010652695521,
            -0.02069027835596324,
            0.06230723963590279,
            0.09899647639440315,
            -0.01040494894543033,
            0.0623503413315355,
            0.09955093821041242,
            -1.128019425456884e-16,
            0.03349652809775716,
            0.14280107840494022,
            0,
            0.03343348878920338,
            0.1419984286493734,
            0.014924636252120111,
            0.03324756070231,
            0.13960140555044842,
            0.029673194768105652,
            0.03294808832529644,
            0.13564241894091203,
            0.044072893558577755,
            0.03254992485175878,
            0.13017429731113211,
            0.05795733125279786,
            0.032072446034097146,
            0.1232686409700584,
            0.07116918304670253,
            0.031538338323763626,
            0.11501375860085497,
            0.08356238692926349,
            0.030972286539732385,
            0.10551237308728402,
            0.0950037674512531,
            0.03039967556592771,
            0.09487927397312854,
            0.10537410907246426,
            0.02984539489662713,
            0.08323906350519579,
            0.11456874208550336,
            0.029332802714955974,
            0.07072410100918163,
            0.12249773626753586,
            0.028882875179758127,
            0.05747270589883745,
            0.12908581094457064,
            0.028513541739099035,
            0.04362763976918389,
            0.1342720686834296,
            0.028239190774453138,
            0.029334856323829702,
            0.13800964831831375,
            0.02807032166981105,
            0.014742485095100174,
            0.14026537615572737,
            0.028013318154676226,
            3.99475661873836e-17,
            0.1410194754958531,
            0.02807032166981105,
            -0.014742485095100158,
            0.1402653761557274,
            0.028239190774453138,
            -0.029334856323829723,
            0.13800964831831375,
            0.028513541739099035,
            -0.04362763976918387,
            0.13427206868342964,
            0.028882875179758127,
            -0.057472705898837406,
            0.12908581094457064,
            0.029332802714955974,
            -0.07072410100918158,
            0.12249773626753586,
            0.02984539489662713,
            -0.08323906350519578,
            0.11456874208550336,
            0.03039967556592771,
            -0.09487927397312848,
            0.1053741090724643,
            0.030972286539732385,
            -0.105512373087284,
            0.09500376745125313,
            0.031538338323763626,
            -0.11501375860085496,
            0.08356238692926352,
            0.032072446034097146,
            -0.1232686409700584,
            0.07116918304670253,
            0.03254992485175878,
            -0.13017429731113211,
            0.057957331252797846,
            0.03294808832529644,
            -0.13564241894091203,
            0.04407289355857777,
            0.03324756070231,
            -0.13960140555044842,
            0.029673194768105652,
            0.03343348878920338,
            -0.14199842864937343,
            0.01492463625212009,
            0.03349652809775716,
            -0.14280107840494022,
            8.090450643292678e-17,
            0.03343348878920338,
            -0.14199842864937343,
            -0.014924636252120054,
            0.03324756070231,
            -0.13960140555044842,
            -0.029673194768105614,
            0.03294808832529644,
            -0.13564241894091206,
            -0.044072893558577735,
            0.03254992485175878,
            -0.13017429731113211,
            -0.057957331252797874,
            0.032072446034097146,
            -0.12326864097005841,
            -0.0711691830467025,
            0.031538338323763626,
            -0.11501375860085497,
            -0.08356238692926347,
            0.030972286539732385,
            -0.10551237308728402,
            -0.0950037674512531,
            0.03039967556592771,
            -0.09487927397312858,
            -0.10537410907246424,
            0.02984539489662713,
            -0.08323906350519582,
            -0.11456874208550334,
            0.029332802714955974,
            -0.07072410100918168,
            -0.12249773626753584,
            0.028882875179758127,
            -0.05747270589883754,
            -0.12908581094457058,
            0.028513541739099035,
            -0.04362763976918391,
            -0.1342720686834296,
            0.028239190774453138,
            -0.02933485632382978,
            -0.13800964831831375,
            0.02807032166981105,
            -0.014742485095100285,
            -0.14026537615572737,
            0.028013318154676226,
            -2.5904857392515267e-17,
            -0.1410194754958531,
            0.02807032166981105,
            0.014742485095100108,
            -0.1402653761557274,
            0.028239190774453138,
            0.02933485632382973,
            -0.13800964831831375,
            0.028513541739099035,
            0.043627639769183865,
            -0.13427206868342964,
            0.028882875179758127,
            0.05747270589883737,
            -0.12908581094457067,
            0.029332802714955974,
            0.07072410100918163,
            -0.12249773626753586,
            0.02984539489662713,
            0.08323906350519576,
            -0.11456874208550337,
            0.03039967556592771,
            0.09487927397312858,
            -0.10537410907246424,
            0.030972286539732385,
            0.10551237308728402,
            -0.09500376745125308,
            0.031538338323763626,
            0.11501375860085496,
            -0.08356238692926353,
            0.032072446034097146,
            0.12326864097005841,
            -0.07116918304670249,
            0.03254992485175878,
            0.13017429731113211,
            -0.05795733125279786,
            0.03294808832529644,
            0.13564241894091203,
            -0.04407289355857779,
            0.03324756070231,
            0.13960140555044842,
            -0.029673194768105607,
            0.03343348878920338,
            0.1419984286493734,
            -0.014924636252120106,
            0.03349652809775716,
            0.14280107840494022,
            -1.6180901286585356e-16,
            0.003781966212214438,
            0.18244668607981118,
            0,
            0.003701915583750326,
            0.18141177845191414,
            0.01906714624237476,
            0.0034659296665316974,
            0.17832215453416062,
            0.03790354403737152,
            0.00308619032713231,
            0.17322249197223982,
            0.05628339947232722,
            0.0025819923165284475,
            0.16618526797604716,
            0.07399044837862224,
            0.0019783773253360115,
            0.157308038347177,
            0.0908218382854346,
            0.0013044785212163457,
            0.14671008455302442,
            0.10659111571503462,
            0.0005917608659103957,
            0.13452876937718788,
            0.12113024802163136,
            -0.00012767933380264385,
            0.12091591517425053,
            0.13429072863454775,
            -0.000822635875777078,
            0.10603445231262808,
            0.14594390311016409,
            -0.0014640665493100835,
            0.09005550090515609,
            0.1559807030687953,
            -0.0020260976824276744,
            0.07315596557809867,
            0.16431098891888055,
            -0.0024867728289529323,
            0.05551665319984201,
            0.1708626895922216,
            -0.0028285804962995265,
            0.03732087225477689,
            0.17558089932182253,
            -0.003038804504625736,
            0.01875343939645764,
            0.17842705718807403,
            -0.003109739307862236,
            5.081373711141614e-17,
            0.17937830109157385,
            -0.003038804504625736,
            -0.018753439396457617,
            0.17842705718807406,
            -0.0028285804962995265,
            -0.03732087225477691,
            0.17558089932182253,
            -0.0024867728289529323,
            -0.05551665319984199,
            0.17086268959222162,
            -0.0020260976824276744,
            -0.07315596557809863,
            0.16431098891888057,
            -0.0014640665493100835,
            -0.09005550090515603,
            0.15598070306879533,
            -0.000822635875777078,
            -0.10603445231262805,
            0.14594390311016409,
            -0.00012767933380264385,
            -0.12091591517425049,
            0.13429072863454777,
            0.0005917608659103957,
            -0.13452876937718786,
            0.12113024802163141,
            0.0013044785212163457,
            -0.14671008455302442,
            0.10659111571503464,
            0.0019783773253360115,
            -0.157308038347177,
            0.0908218382854346,
            0.0025819923165284475,
            -0.16618526797604716,
            0.07399044837862222,
            0.00308619032713231,
            -0.17322249197223982,
            0.056283399472327245,
            0.0034659296665316974,
            -0.17832215453416062,
            0.03790354403737152,
            0.003701915583750326,
            -0.18141177845191417,
            0.019067146242374728,
            0.003781966212214438,
            -0.18244668607981118,
            1.0336587967321406e-16,
            0.003701915583750326,
            -0.18141177845191417,
            -0.019067146242374683,
            0.0034659296665316974,
            -0.17832215453416062,
            -0.03790354403737147,
            0.00308619032713231,
            -0.17322249197223985,
            -0.056283399472327196,
            0.0025819923165284475,
            -0.16618526797604716,
            -0.07399044837862226,
            0.0019783773253360115,
            -0.15730803834717702,
            -0.09082183828543455,
            0.0013044785212163457,
            -0.14671008455302442,
            -0.10659111571503459,
            0.0005917608659103957,
            -0.13452876937718788,
            -0.12113024802163136,
            -0.00012767933380264385,
            -0.12091591517425058,
            -0.13429072863454772,
            -0.000822635875777078,
            -0.10603445231262809,
            -0.14594390311016409,
            -0.0014640665493100835,
            -0.09005550090515614,
            -0.15598070306879527,
            -0.0020260976824276744,
            -0.07315596557809877,
            -0.1643109889188805,
            -0.0024867728289529323,
            -0.055516653199842024,
            -0.1708626895922216,
            -0.0028285804962995265,
            -0.03732087225477699,
            -0.1755808993218225,
            -0.003038804504625736,
            -0.01875343939645778,
            -0.17842705718807403,
            -0.003109739307862236,
            -3.295125934024291e-17,
            -0.17937830109157385,
            -0.003038804504625736,
            0.018753439396457555,
            -0.17842705718807406,
            -0.0028285804962995265,
            0.03732087225477693,
            -0.1755808993218225,
            -0.0024867728289529323,
            0.055516653199841975,
            -0.17086268959222162,
            -0.0020260976824276744,
            0.07315596557809856,
            -0.16431098891888057,
            -0.0014640665493100835,
            0.09005550090515609,
            -0.1559807030687953,
            -0.000822635875777078,
            0.10603445231262804,
            -0.1459439031101641,
            -0.00012767933380264385,
            0.12091591517425058,
            -0.13429072863454772,
            0.0005917608659103957,
            0.13452876937718788,
            -0.12113024802163136,
            0.0013044785212163457,
            0.14671008455302442,
            -0.10659111571503464,
            0.0019783773253360115,
            0.15730803834717702,
            -0.09082183828543454,
            0.0025819923165284475,
            0.16618526797604716,
            -0.07399044837862224,
            0.00308619032713231,
            0.17322249197223982,
            -0.05628339947232726,
            0.0034659296665316974,
            0.17832215453416062,
            -0.03790354403737146,
            0.003701915583750326,
            0.18141177845191414,
            -0.01906714624237475,
            0.003781966212214438,
            0.18244668607981118,
            -2.067317593464281e-16,
            -0.02694415257887467,
            0.21884799554648837,
            0,
            -0.027038287196720523,
            0.21759507240906228,
            0.022870163683133986,
            -0.027315647000066057,
            0.21385584632025234,
            0.04545646338686549,
            -0.027761510943451417,
            0.20768800670216975,
            0.06748192404888681,
            -0.02835265007136245,
            0.19918470036240737,
            0.08868274227592933,
            -0.029059079212174932,
            0.1884704603939125,
            0.10881347104271806,
            -0.029846149816132816,
            0.17569626477958553,
            0.12765080837405932,
            -0.03067673219235595,
            0.16103427401417336,
            0.14499591159292824,
            -0.03151327332947207,
            0.14467273673230838,
            0.16067535196949073,
            -0.03231958313845723,
            0.1268114290538697,
            0.17454095825885915,
            -0.03306227545163337,
            0.10765784782948297,
            0.18646886227418324,
            -0.033711853598470176,
            0.08742424313569033,
            0.19635806501350364,
            -0.034243475070865226,
            0.06632547005599781,
            0.2041288072867547,
            -0.034637454159176184,
            0.044577569246093206,
            0.20972097448253096,
            -0.03487956851841645,
            0.02239694599054408,
            0.21309270681557563,
            -0.034961230213156724,
            6.068339836154661e-17,
            0.21421933361622147,
            -0.03487956851841645,
            -0.02239694599054405,
            0.21309270681557566,
            -0.034637454159176184,
            -0.04457756924609323,
            0.20972097448253096,
            -0.034243475070865226,
            -0.0663254700559978,
            0.20412880728675473,
            -0.033711853598470176,
            -0.08742424313569028,
            0.19635806501350367,
            -0.03306227545163337,
            -0.10765784782948291,
            0.18646886227418327,
            -0.03231958313845723,
            -0.12681142905386966,
            0.17454095825885915,
            -0.03151327332947207,
            -0.1446727367323083,
            0.1606753519694908,
            -0.03067673219235595,
            -0.16103427401417333,
            0.1449959115929283,
            -0.029846149816132816,
            -0.1756962647795855,
            0.12765080837405934,
            -0.029059079212174932,
            -0.1884704603939125,
            0.10881347104271806,
            -0.02835265007136245,
            -0.1991847003624074,
            0.08868274227592932,
            -0.027761510943451417,
            -0.20768800670216975,
            0.06748192404888682,
            -0.027315647000066057,
            -0.21385584632025234,
            0.04545646338686549,
            -0.027038287196720523,
            -0.2175950724090623,
            0.02287016368313395,
            -0.02694415257887467,
            -0.21884799554648837,
            1.2398918314409215e-16,
            -0.027038287196720523,
            -0.2175950724090623,
            -0.0228701636831339,
            -0.027315647000066057,
            -0.21385584632025234,
            -0.04545646338686543,
            -0.027761510943451417,
            -0.20768800670216978,
            -0.06748192404888678,
            -0.02835265007136245,
            -0.19918470036240737,
            -0.08868274227592934,
            -0.029059079212174932,
            -0.18847046039391252,
            -0.10881347104271802,
            -0.029846149816132816,
            -0.17569626477958553,
            -0.1276508083740593,
            -0.03067673219235595,
            -0.16103427401417336,
            -0.14499591159292824,
            -0.03151327332947207,
            -0.1446727367323084,
            -0.1606753519694907,
            -0.03231958313845723,
            -0.12681142905386972,
            -0.17454095825885912,
            -0.03306227545163337,
            -0.10765784782948304,
            -0.18646886227418322,
            -0.033711853598470176,
            -0.08742424313569046,
            -0.19635806501350356,
            -0.034243475070865226,
            -0.06632547005599784,
            -0.2041288072867547,
            -0.034637454159176184,
            -0.044577569246093324,
            -0.20972097448253094,
            -0.03487956851841645,
            -0.022396945990544245,
            -0.21309270681557563,
            -0.034961230213156724,
            -3.935145318428769e-17,
            -0.21421933361622147,
            -0.03487956851841645,
            0.022396945990543975,
            -0.21309270681557566,
            -0.034637454159176184,
            0.04457756924609325,
            -0.20972097448253094,
            -0.034243475070865226,
            0.06632547005599777,
            -0.20412880728675473,
            -0.033711853598470176,
            0.08742424313569021,
            -0.1963580650135037,
            -0.03306227545163337,
            0.10765784782948297,
            -0.18646886227418324,
            -0.03231958313845723,
            0.12681142905386963,
            -0.17454095825885915,
            -0.03151327332947207,
            0.1446727367323084,
            -0.1606753519694907,
            -0.03067673219235595,
            0.16103427401417336,
            -0.14499591159292824,
            -0.029846149816132816,
            0.1756962647795855,
            -0.12765080837405937,
            -0.029059079212174932,
            0.18847046039391252,
            -0.108813471042718,
            -0.02835265007136245,
            0.1991847003624074,
            -0.08868274227592933,
            -0.027761510943451417,
            0.20768800670216975,
            -0.06748192404888685,
            -0.027315647000066057,
            0.21385584632025234,
            -0.04545646338686541,
            -0.027038287196720523,
            0.21759507240906228,
            -0.022870163683133975,
            -0.02694415257887467,
            0.21884799554648837,
            -2.479783662881843e-16,
            -0.058895329559476184,
            0.2521863047443258,
            0,
            -0.059000252048212465,
            0.2507289887295148,
            0.026352678619352064,
            -0.059309224796676996,
            0.2463812877210602,
            0.052369959377820983,
            -0.05980537057990776,
            0.23921460556794658,
            0.07772553697561169,
            -0.06046216417768374,
            0.22934369862332332,
            0.10211039342185936,
            -0.0612455607293545,
            0.21692097086950335,
            0.1252393809243827,
            -0.06211650122233359,
            0.20212964908824904,
            0.14685578623341292,
            -0.063033473408516,
            0.1851766546462381,
            0.1667338087530172,
            -0.06395486580079851,
            0.16628587214401885,
            0.18467917064243441,
            -0.06484094644554661,
            0.14569230922237,
            0.20052826036536572,
            -0.06565539590472402,
            0.12363741452618277,
            0.21414628367580285,
            -0.06636640344699118,
            0.10036562300269238,
            0.22542488009985387,
            -0.06694738730099314,
            0.07612205431712844,
            0.2342795933877866,
            -0.06737742439806044,
            0.05115120388849823,
            0.24064749394990032,
            -0.06764147820125005,
            0.025696426108990648,
            0.24448516317193783,
            -0.0677305022552242,
            6.962017478058739e-17,
            0.2457671760385931,
            -0.06764147820125005,
            -0.02569642610899062,
            0.24448516317193783,
            -0.06737742439806044,
            -0.05115120388849825,
            0.24064749394990032,
            -0.06694738730099314,
            -0.0761220543171284,
            0.2342795933877866,
            -0.06636640344699118,
            -0.1003656230026923,
            0.22542488009985387,
            -0.06565539590472402,
            -0.1236374145261827,
            0.21414628367580288,
            -0.06484094644554661,
            -0.14569230922236998,
            0.20052826036536572,
            -0.06395486580079851,
            -0.16628587214401877,
            0.18467917064243447,
            -0.063033473408516,
            -0.18517665464623806,
            0.16673380875301724,
            -0.062116501222335085,
            -0.2021296490882481,
            0.1468557862334123,
            -0.0612455607293545,
            -0.21692097086950335,
            0.1252393809243827,
            -0.06046216417768374,
            -0.22934369862332332,
            0.10211039342185933,
            -0.05980537057990776,
            -0.23921460556794658,
            0.07772553697561173,
            -0.059309224796676996,
            -0.2463812877210602,
            0.052369959377820983,
            -0.059000252048212465,
            -0.2507289887295148,
            0.026352678619352022,
            -0.058895329559476184,
            -0.2521863047443258,
            1.4287713189830851e-16,
            -0.059000252048212465,
            -0.2507289887295148,
            -0.026352678619351963,
            -0.059309224796676996,
            -0.2463812877210602,
            -0.052369959377820914,
            -0.05980537057990776,
            -0.23921460556794658,
            -0.07772553697561166,
            -0.06046216417768374,
            -0.22934369862332332,
            -0.10211039342185937,
            -0.0612455607293545,
            -0.21692097086950335,
            -0.12523938092438264,
            -0.06211650122233359,
            -0.20212964908824904,
            -0.1468557862334129,
            -0.063033473408516,
            -0.1851766546462381,
            -0.1667338087530172,
            -0.06395486580079851,
            -0.16628587214401894,
            -0.18467917064243436,
            -0.06484094644554661,
            -0.14569230922237006,
            -0.2005282603653657,
            -0.06565539590472402,
            -0.12363741452618286,
            -0.21414628367580285,
            -0.06636640344699118,
            -0.1003656230026925,
            -0.22542488009985376,
            -0.06694738730099314,
            -0.07612205431712846,
            -0.2342795933877866,
            -0.06737742439806044,
            -0.051151203888498364,
            -0.24064749394990026,
            -0.06764147820125005,
            -0.02569642610899084,
            -0.24448516317193783,
            -0.0677305022552242,
            -4.514669782067207e-17,
            -0.2457671760385931,
            -0.06764147820125005,
            0.025696426108990533,
            -0.24448516317193783,
            -0.06737742439806044,
            0.051151203888498274,
            -0.24064749394990026,
            -0.06694738730099314,
            0.07612205431712839,
            -0.2342795933877866,
            -0.06636640344699118,
            0.10036562300269222,
            -0.2254248800998539,
            -0.06565539590472402,
            0.12363741452618277,
            -0.21414628367580285,
            -0.06484094644554661,
            0.14569230922236995,
            -0.20052826036536575,
            -0.06395486580079851,
            0.16628587214401894,
            -0.18467917064243436,
            -0.063033473408516,
            0.1851766546462381,
            -0.16673380875301716,
            -0.062116501222335085,
            0.2021296490882481,
            -0.14685578623341233,
            -0.0612455607293545,
            0.21692097086950335,
            -0.1252393809243826,
            -0.06046216417768374,
            0.22934369862332332,
            -0.10211039342185936,
            -0.05980537057990776,
            0.23921460556794658,
            -0.07772553697561174,
            -0.059309224796676996,
            0.2463812877210602,
            -0.0523699593778209,
            -0.059000252048212465,
            0.2507289887295148,
            -0.026352678619352053,
            -0.058895329559476184,
            0.2521863047443258,
            -2.8575426379661703e-16,
            -0.0922244545526168,
            0.2825247701225845,
            0,
            -0.09233635723524808,
            0.2808768642036181,
            0.029521348015942535,
            -0.09266569215923548,
            0.27596231570393187,
            0.058657600976524914,
            -0.09319393713163865,
            0.2678668216460176,
            0.08703520632009813,
            -0.09389210233095313,
            0.25672748001924894,
            0.11430243841154367,
            -0.09472320010464014,
            0.2427251743688177,
            0.1401374447609357,
            -0.09564510880418414,
            0.2260755915427606,
            0.16425353179978466,
            -0.09661344085358387,
            0.20702001592092217,
            0.18640165958580154,
            -0.09758411061572869,
            0.18581684279520552,
            0.206370511074404,
            -0.0985154216289118,
            0.16273443533246246,
            0.22398473462968668,
            -0.0993696144309053,
            0.13804561963550946,
            0.23910202697103014,
            -0.10011390922763369,
            0.11202384275623464,
            0.25160967038456633,
            -0.10072113318917142,
            0.08494083814874051,
            0.2614210192042463,
            -0.10117004382379119,
            0.05706554784343145,
            0.26847229459809097,
            -0.10144545711919811,
            0.028664019109679226,
            0.272719924532289,
            -0.10153827184047587,
            7.765713697176359e-17,
            0.2741385713687451,
            -0.10144545711919811,
            -0.02866401910967919,
            0.27271992453228905,
            -0.10117004382379119,
            -0.05706554784343147,
            0.26847229459809097,
            -0.10072113318917142,
            -0.08494083814874048,
            0.2614210192042464,
            -0.10011390922763369,
            -0.11202384275623457,
            0.25160967038456633,
            -0.0993696144309053,
            -0.13804561963550935,
            0.2391020269710302,
            -0.0985154216289118,
            -0.16273443533246243,
            0.22398473462968668,
            -0.09758411061572869,
            -0.18581684279520544,
            0.20637051107440407,
            -0.09661344085358387,
            -0.20702001592092215,
            0.1864016595858016,
            -0.09564510880418414,
            -0.22607559154276055,
            0.16425353179978472,
            -0.09472320010464014,
            -0.2427251743688177,
            0.1401374447609357,
            -0.09389210233095313,
            -0.25672748001924894,
            0.11430243841154365,
            -0.09319393713163865,
            -0.2678668216460176,
            0.08703520632009817,
            -0.09266569215923548,
            -0.27596231570393187,
            0.058657600976524914,
            -0.09233635723524808,
            -0.2808768642036182,
            0.02952134801594249,
            -0.0922244545526168,
            -0.2825247701225845,
            1.6006550746785562e-16,
            -0.09233635723524808,
            -0.2808768642036182,
            -0.029521348015942424,
            -0.09266569215923548,
            -0.27596231570393187,
            -0.058657600976524844,
            -0.09319393713163865,
            -0.26786682164601766,
            -0.0870352063200981,
            -0.09389210233095313,
            -0.25672748001924894,
            -0.1143024384115437,
            -0.09472320010464014,
            -0.24272517436881774,
            -0.14013744476093568,
            -0.09564510880418414,
            -0.2260755915427606,
            -0.16425353179978464,
            -0.09661344085358387,
            -0.20702001592092217,
            -0.18640165958580154,
            -0.09758411061572869,
            -0.1858168427952056,
            -0.20637051107440393,
            -0.0985154216289118,
            -0.16273443533246248,
            -0.22398473462968663,
            -0.0993696144309053,
            -0.13804561963550954,
            -0.23910202697103014,
            -0.10011390922763369,
            -0.11202384275623481,
            -0.2516096703845663,
            -0.10072113318917142,
            -0.08494083814874054,
            -0.2614210192042463,
            -0.10117004382379119,
            -0.0570655478434316,
            -0.26847229459809097,
            -0.10144545711919811,
            -0.02866401910967944,
            -0.272719924532289,
            -0.10153827184047587,
            -5.035843859243428e-17,
            -0.2741385713687451,
            -0.10144545711919811,
            0.0286640191096791,
            -0.27271992453228905,
            -0.10117004382379119,
            0.05706554784343149,
            -0.26847229459809097,
            -0.10072113318917142,
            0.08494083814874046,
            -0.2614210192042464,
            -0.10011390922763369,
            0.11202384275623449,
            -0.2516096703845664,
            -0.0993696144309053,
            0.13804561963550946,
            -0.23910202697103014,
            -0.0985154216289118,
            0.1627344353324624,
            -0.22398473462968674,
            -0.09758411061572869,
            0.1858168427952056,
            -0.20637051107440393,
            -0.09661344085358387,
            0.20702001592092217,
            -0.18640165958580152,
            -0.09564510880418414,
            0.22607559154276055,
            -0.16425353179978475,
            -0.09472320010464014,
            0.24272517436881774,
            -0.14013744476093565,
            -0.09389210233095313,
            0.25672748001924894,
            -0.11430243841154367,
            -0.09319393713163865,
            0.2678668216460176,
            -0.0870352063200982,
            -0.09266569215923548,
            0.27596231570393187,
            -0.058657600976524824,
            -0.09233635723524808,
            0.2808768642036181,
            -0.029521348015942524,
            -0.0922244545526168,
            0.2825247701225845,
            -3.2013101493571124e-16,
            -0.12701212647314136,
            0.30984742382451325,
            0,
            -0.1271266748920995,
            0.30802352522777005,
            0.03237457706290257,
            -0.1274635940365642,
            0.30258606559526935,
            0.06431665371219021,
            -0.12800337841230613,
            0.2936353964016156,
            0.095407923802042,
            -0.12871562812397624,
            0.2813313423088441,
            0.1252567836722524,
            -0.12956178995509582,
            0.2658834264369373,
            0.15350786782642578,
            -0.1304982880419293,
            0.2475395000333247,
            0.17984797413539483,
            -0.13147959561346323,
            0.22657430216998634,
            0.20400841800781655,
            -0.13246091298332968,
            0.2032791570822492,
            0.2257643758594753,
            -0.13340027028636908,
            0.17795355531697815,
            0.2449320562218556,
            -0.1342600156235923,
            0.15089891371396388,
            0.2613645853595374,
            -0.1350077511733485,
            0.12241446302395138,
            0.2749473856095326,
            -0.13561683478312475,
            0.09279499972710648,
            0.28559364299229767,
            -0.13606658046252867,
            0.06233014391669126,
            0.2932402717985912,
            -0.13634228127560677,
            0.0313047316091332,
            0.29784462567091513,
            -0.13643515461896916,
            8.480804404514141e-17,
            0.29938209083816913,
            -0.13634228127560677,
            -0.03130473160913316,
            0.29784462567091513,
            -0.13606658046252867,
            -0.0623301439166913,
            0.2932402717985912,
            -0.13561683478312475,
            -0.09279499972710643,
            0.28559364299229767,
            -0.1350077511733485,
            -0.1224144630239513,
            0.27494738560953264,
            -0.1342600156235923,
            -0.15089891371396377,
            0.26136458535953744,
            -0.13340027028636908,
            -0.17795355531697812,
            0.2449320562218556,
            -0.13246091298332968,
            -0.20327915708224908,
            0.22576437585947537,
            -0.13147959561346323,
            -0.22657430216998628,
            0.20400841800781663,
            -0.1304982880419293,
            -0.24753950003332464,
            0.17984797413539488,
            -0.12956178995509582,
            -0.2658834264369373,
            0.15350786782642578,
            -0.12871562812397624,
            -0.28133134230884416,
            0.12525678367225235,
            -0.12800337841230613,
            -0.2936353964016156,
            0.09540792380204202,
            -0.1274635940365642,
            -0.30258606559526935,
            0.06431665371219021,
            -0.1271266748920995,
            -0.30802352522777005,
            0.03237457706290251,
            -0.12701212647314136,
            -0.30984742382451325,
            1.755452632013799e-16,
            -0.1271266748920995,
            -0.30802352522777005,
            -0.03237457706290244,
            -0.1274635940365642,
            -0.30258606559526935,
            -0.06431665371219013,
            -0.12800337841230613,
            -0.2936353964016157,
            -0.09540792380204195,
            -0.12871562812397624,
            -0.2813313423088441,
            -0.12525678367225243,
            -0.12956178995509582,
            -0.26588342643693735,
            -0.15350786782642573,
            -0.1304982880419293,
            -0.2475395000333247,
            -0.1798479741353948,
            -0.13147959561346323,
            -0.22657430216998634,
            -0.20400841800781655,
            -0.13246091298332968,
            -0.20327915708224928,
            -0.22576437585947523,
            -0.13340027028636908,
            -0.17795355531697818,
            -0.24493205622185554,
            -0.1342600156235923,
            -0.150898913713964,
            -0.2613645853595374,
            -0.1350077511733485,
            -0.12241446302395154,
            -0.2749473856095325,
            -0.13561683478312475,
            -0.0927949997271065,
            -0.28559364299229767,
            -0.13606658046252867,
            -0.062330143916691436,
            -0.29324027179859113,
            -0.13634228127560677,
            -0.031304731609133434,
            -0.29784462567091513,
            -0.13643515461896916,
            -5.49955978900509e-17,
            -0.29938209083816913,
            -0.13634228127560677,
            0.03130473160913306,
            -0.29784462567091513,
            -0.13606658046252867,
            0.06233014391669132,
            -0.29324027179859113,
            -0.13561683478312475,
            0.0927949997271064,
            -0.28559364299229767,
            -0.1350077511733485,
            0.1224144630239512,
            -0.27494738560953264,
            -0.1342600156235923,
            0.15089891371396388,
            -0.2613645853595374,
            -0.13340027028636908,
            0.17795355531697807,
            -0.24493205622185563,
            -0.13246091298332968,
            0.20327915708224928,
            -0.22576437585947523,
            -0.13147959561346323,
            0.22657430216998634,
            -0.20400841800781652,
            -0.1304982880419293,
            0.24753950003332464,
            -0.1798479741353949,
            -0.12956178995509582,
            0.26588342643693735,
            -0.15350786782642573,
            -0.12871562812397624,
            0.28133134230884416,
            -0.1252567836722524,
            -0.12800337841230613,
            0.2936353964016156,
            -0.09540792380204206,
            -0.1274635940365642,
            0.30258606559526935,
            -0.0643166537121901,
            -0.1271266748920995,
            0.30802352522777005,
            -0.03237457706290255,
            -0.12701212647314136,
            0.30984742382451325,
            -3.510905264027598e-16,
            -0.16327305743300885,
            0.3340849753604515,
            0,
            -0.16338546639946175,
            0.3321009527999943,
            0.03490521667504592,
            -0.163715894355651,
            0.32618822367161854,
            0.06933344728089134,
            -0.16424466735901147,
            0.3164618389078224,
            0.10282468456723658,
            -0.1649412516872888,
            0.3031042451853051,
            0.13495070459528954,
            -0.165767155584106,
            0.28635315630969327,
            0.16532607187870038,
            -0.16667919464294467,
            0.266487633109246,
            0.1936145986413567,
            -0.1676326318660542,
            0.24381432519542728,
            0.2195314044637115,
            -0.16858384395540224,
            0.2186553578489748,
            0.242841376861527,
            -0.16949234291603266,
            0.191338713880732,
            0.26335514647164626,
            -0.17032213800254603,
            0.162191374154298,
            0.28092370058465765,
            -0.1710425275613217,
            0.13153505806142948,
            0.2954325774635967,
            -0.17162846044697747,
            0.09968416978774537,
            0.3067963282727266,
            -0.1720606149067888,
            0.0669454728784129,
            0.3149536873970547,
            -0.1723253257265148,
            0.033619029395890586,
            0.31986369826972555,
            -0.17241446188210835,
            9.107436255439579e-17,
            0.3215029115489962,
            -0.1723253257265148,
            -0.03361902939589054,
            0.3198636982697256,
            -0.1720606149067888,
            -0.06694547287841293,
            0.3149536873970547,
            -0.17162846044697747,
            -0.09968416978774532,
            0.3067963282727266,
            -0.1710425275613217,
            -0.1315350580614294,
            0.2954325774635967,
            -0.17032213800254603,
            -0.16219137415429788,
            0.2809237005846577,
            -0.16949234291603266,
            -0.19133871388073195,
            0.26335514647164626,
            -0.16858384395540224,
            -0.21865535784897466,
            0.24284137686152707,
            -0.1676326318660542,
            -0.24381432519542726,
            0.21953140446371153,
            -0.16667919464294467,
            -0.26648763310924595,
            0.19361459864135672,
            -0.165767155584106,
            -0.28635315630969327,
            0.16532607187870038,
            -0.1649412516872888,
            -0.3031042451853051,
            0.13495070459528952,
            -0.16424466735901147,
            -0.3164618389078224,
            0.10282468456723662,
            -0.163715894355651,
            -0.32618822367161854,
            0.06933344728089134,
            -0.16338546639946175,
            -0.33210095279999435,
            0.03490521667504586,
            -0.16327305743300885,
            -0.3340849753604515,
            1.892771423024405e-16,
            -0.16338546639946175,
            -0.33210095279999435,
            -0.03490521667504578,
            -0.163715894355651,
            -0.32618822367161854,
            -0.06933344728089126,
            -0.16424466735901147,
            -0.3164618389078224,
            -0.10282468456723655,
            -0.1649412516872888,
            -0.3031042451853051,
            -0.13495070459528957,
            -0.165767155584106,
            -0.2863531563096933,
            -0.1653260718787003,
            -0.16667919464294467,
            -0.266487633109246,
            -0.19361459864135666,
            -0.1676326318660542,
            -0.24381432519542728,
            -0.2195314044637115,
            -0.16858384395540224,
            -0.21865535784897486,
            -0.24284137686152693,
            -0.16949234291603266,
            -0.191338713880732,
            -0.26335514647164626,
            -0.17032213800254603,
            -0.16219137415429807,
            -0.2809237005846576,
            -0.1710425275613206,
            -0.1315350580614303,
            -0.2954325774635979,
            -0.17162846044697747,
            -0.09968416978774539,
            -0.3067963282727266,
            -0.1720606149067888,
            -0.06694547287841307,
            -0.3149536873970547,
            -0.1723253257265148,
            -0.03361902939589083,
            -0.31986369826972555,
            -0.17241446188210835,
            -5.90591267317549e-17,
            -0.3215029115489962,
            -0.1723253257265148,
            0.033619029395890426,
            -0.3198636982697256,
            -0.1720606149067888,
            0.06694547287841296,
            -0.3149536873970547,
            -0.17162846044697747,
            0.09968416978774529,
            -0.3067963282727266,
            -0.1710425275613217,
            0.1315350580614293,
            -0.2954325774635967,
            -0.17032213800254603,
            0.162191374154298,
            -0.28092370058465765,
            -0.16949234291603266,
            0.19133871388073193,
            -0.2633551464716463,
            -0.16858384395540224,
            0.21865535784897486,
            -0.24284137686152693,
            -0.1676326318660542,
            0.24381432519542728,
            -0.21953140446371144,
            -0.16667919464294467,
            0.26648763310924595,
            -0.19361459864135677,
            -0.165767155584106,
            0.2863531563096933,
            -0.16532607187870027,
            -0.1649412516872888,
            0.3031042451853051,
            -0.13495070459528954,
            -0.16424466735901147,
            0.3164618389078224,
            -0.10282468456723666,
            -0.163715894355651,
            0.32618822367161854,
            -0.06933344728089125,
            -0.16338546639946175,
            0.3321009527999943,
            -0.0349052166750459,
            -0.16327305743300885,
            0.3340849753604515,
            -3.78554284604881e-16,
            -0.20096402911971226,
            0.35513271894387105,
            0,
            -0.20106921386512738,
            0.3530060774583698,
            0.0371024338153981,
            -0.201378225490074,
            0.3466704849305962,
            0.07368708630932673,
            -0.20187217157851275,
            0.33625532321986623,
            0.10925597747729668,
            -0.20252185041102097,
            0.321964930487424,
            0.14334802271636998,
            -0.2032906615531434,
            0.30406400767028474,
            0.1755514366793153,
            -0.20413783502291724,
            0.2828610822629433,
            0.20551060578165117,
            -0.20502147709556034,
            0.2586924390598482,
            0.2329277183587598,
            -0.2059010913456115,
            0.23190827340842707,
            0.2575602307398292,
            -0.20673942513193636,
            0.20286199473876074,
            0.27921558190914864,
            -0.20750365160227977,
            0.17190288027087225,
            0.2977445225965802,
            -0.20816599738217978,
            0.1393717859073047,
            0.31303415639251164,
            -0.20870396793117893,
            0.10559937370010292,
            0.3250014539728241,
            -0.2091003226085213,
            0.0709062540239121,
            0.33358769763122487,
            -0.20934292860863565,
            0.03560448926803045,
            0.33875408710249844,
            -0.20942459151318446,
            9.644973619448566e-17,
            0.3404785950177706,
            -0.20934292860863565,
            -0.035604489268030406,
            0.3387540871024985,
            -0.2091003226085213,
            -0.07090625402391214,
            0.33358769763122487,
            -0.20870396793117893,
            -0.10559937370010287,
            0.32500145397282415,
            -0.20816599738217978,
            -0.13937178590730462,
            0.31303415639251164,
            -0.20750365160227977,
            -0.17190288027087214,
            0.29774452259658024,
            -0.20673942513193636,
            -0.2028619947387607,
            0.27921558190914864,
            -0.2059010913456115,
            -0.23190827340842698,
            0.2575602307398293,
            -0.20502147709556034,
            -0.2586924390598482,
            0.23292771835875992,
            -0.20413783502291724,
            -0.28286108226294326,
            0.2055106057816512,
            -0.2032906615531434,
            -0.30406400767028474,
            0.1755514366793153,
            -0.20252185041102097,
            -0.321964930487424,
            0.14334802271636993,
            -0.20187217157851275,
            -0.33625532321986623,
            0.10925597747729669,
            -0.201378225490074,
            -0.3466704849305962,
            0.07368708630932673,
            -0.20106921386512738,
            -0.35300607745836987,
            0.037102433815398045,
            -0.20096402911971226,
            -0.35513271894387105,
            2.012018233003989e-16,
            -0.20106921386512738,
            -0.35300607745836987,
            -0.03710243381539796,
            -0.201378225490074,
            -0.3466704849305962,
            -0.07368708630932665,
            -0.20187217157851275,
            -0.3362553232198663,
            -0.10925597747729662,
            -0.20252185041102097,
            -0.321964930487424,
            -0.14334802271637,
            -0.2032906615531434,
            -0.3040640076702848,
            -0.17555143667931525,
            -0.20413783502291724,
            -0.2828610822629433,
            -0.20551060578165112,
            -0.20502147709556034,
            -0.2586924390598482,
            -0.2329277183587598,
            -0.2059010913456115,
            -0.23190827340842715,
            -0.25756023073982914,
            -0.20673942513193636,
            -0.2028619947387608,
            -0.2792155819091486,
            -0.20750365160227977,
            -0.17190288027087236,
            -0.29774452259658013,
            -0.20816599738217978,
            -0.1393717859073049,
            -0.3130341563925115,
            -0.20870396793117893,
            -0.10559937370010294,
            -0.3250014539728241,
            -0.2091003226085213,
            -0.07090625402391229,
            -0.33358769763122487,
            -0.20934292860863565,
            -0.03560448926803071,
            -0.33875408710249844,
            -0.20942459151318446,
            -6.254490323500512e-17,
            -0.3404785950177706,
            -0.20934292860863565,
            0.03560448926803029,
            -0.3387540871024985,
            -0.2091003226085213,
            0.07090625402391217,
            -0.33358769763122487,
            -0.20870396793117893,
            0.10559937370010283,
            -0.32500145397282415,
            -0.20816599738217978,
            0.1393717859073045,
            -0.31303415639251164,
            -0.20750365160227977,
            0.17190288027087225,
            -0.2977445225965802,
            -0.20673942513193636,
            0.20286199473876065,
            -0.27921558190914864,
            -0.2059010913456115,
            0.23190827340842715,
            -0.25756023073982914,
            -0.20502147709556034,
            0.2586924390598482,
            -0.23292771835875978,
            -0.20413783502291724,
            0.28286108226294326,
            -0.20551060578165126,
            -0.2032906615531434,
            0.3040640076702848,
            -0.17555143667931522,
            -0.20252185041102097,
            0.321964930487424,
            -0.14334802271636998,
            -0.20187217157851275,
            0.33625532321986623,
            -0.10925597747729675,
            -0.201378225490074,
            0.3466704849305962,
            -0.07368708630932662,
            -0.20106921386512738,
            0.3530060774583698,
            -0.037102433815398086,
            -0.20096402911971226,
            0.35513271894387105,
            -4.024036466007978e-16,
            -0.23999043229891645,
            0.37286359387657503,
            0,
            -0.24008322409629423,
            0.37061373601927433,
            0.03895307330326112,
            -0.24035567764437007,
            0.36391320198754945,
            0.07735213896080176,
            -0.2407907268001413,
            0.3529048352314225,
            0.11466573186251765,
            -0.2413620931586856,
            0.3378133909912851,
            0.15040421195066836,
            -0.24203701788107412,
            0.3189284798593838,
            0.18413344369905335,
            -0.2427792527751228,
            0.2965854687642055,
            0.21548195624560085,
            -0.2435518311314846,
            0.27114721060539115,
            0.24414204502917236,
            -0.24431930669833693,
            0.24298861217913567,
            0.2698661936471253,
            -0.245049339877043,
            0.21248501610234977,
            0.29246053453430043,
            -0.2457136618783997,
            0.1800045048877797,
            0.31177694805691464,
            -0.246288536287466,
            0.14590368220803648,
            0.3277050356872841,
            -0.24675486896187573,
            0.11052623828166966,
            0.34016478398540395,
            -0.24709811033551615,
            0.07420357592499986,
            0.3491003775277251,
            -0.24730806826960114,
            0.03725686215671137,
            0.35447536497968524,
            -0.247378718253663,
            1.0092285957562282e-16,
            0.3562692319260942,
            -0.24730806826960114,
            -0.037256862156711326,
            0.3544753649796853,
            -0.24709811033551615,
            -0.0742035759249999,
            0.3491003775277251,
            -0.24675486896187573,
            -0.11052623828166962,
            0.340164783985404,
            -0.246288536287466,
            -0.1459036822080364,
            0.3277050356872841,
            -0.2457136618783997,
            -0.18000450488777955,
            0.31177694805691464,
            -0.245049339877043,
            -0.2124850161023497,
            0.29246053453430043,
            -0.24431930669833693,
            -0.24298861217913553,
            0.2698661936471254,
            -0.2435518311314846,
            -0.2711472106053911,
            0.24414204502917242,
            -0.2427792527751228,
            -0.29658546876420544,
            0.2154819562456009,
            -0.24203701788107412,
            -0.3189284798593838,
            0.18413344369905335,
            -0.2413620931586856,
            -0.33781339099128516,
            0.15040421195066833,
            -0.2407907268001413,
            -0.3529048352314225,
            0.11466573186251768,
            -0.24035567764437007,
            -0.36391320198754945,
            0.07735213896080176,
            -0.24008322409629423,
            -0.3706137360192744,
            0.03895307330326106,
            -0.23999043229891645,
            -0.37286359387657503,
            2.1124731946245548e-16,
            -0.24008322409629423,
            -0.3706137360192744,
            -0.03895307330326097,
            -0.24035567764437007,
            -0.36391320198754945,
            -0.07735213896080166,
            -0.2407907268001413,
            -0.3529048352314225,
            -0.1146657318625176,
            -0.2413620931586856,
            -0.3378133909912851,
            -0.1504042119506684,
            -0.24203701788107412,
            -0.31892847985938383,
            -0.18413344369905324,
            -0.2427792527751228,
            -0.2965854687642055,
            -0.21548195624560082,
            -0.2435518311314846,
            -0.27114721060539115,
            -0.24414204502917236,
            -0.24431930669833693,
            -0.24298861217913573,
            -0.2698661936471252,
            -0.245049339877043,
            -0.2124850161023498,
            -0.2924605345343004,
            -0.2457136618783997,
            -0.1800045048877798,
            -0.3117769480569146,
            -0.246288536287466,
            -0.1459036822080367,
            -0.327705035687284,
            -0.24675486896187573,
            -0.11052623828166969,
            -0.34016478398540395,
            -0.24709811033551615,
            -0.07420357592500007,
            -0.34910037752772505,
            -0.24730806826960114,
            -0.037256862156711645,
            -0.35447536497968524,
            -0.247378718253663,
            -6.544559617694659e-17,
            -0.3562692319260942,
            -0.24730806826960114,
            0.0372568621567112,
            -0.3544753649796853,
            -0.24709811033551615,
            0.07420357592499993,
            -0.34910037752772505,
            -0.24675486896187573,
            0.11052623828166958,
            -0.340164783985404,
            -0.246288536287466,
            0.14590368220803626,
            -0.32770503568728415,
            -0.2457136618783997,
            0.1800045048877797,
            -0.31177694805691464,
            -0.245049339877043,
            0.21248501610234968,
            -0.29246053453430043,
            -0.24431930669833693,
            0.24298861217913573,
            -0.2698661936471252,
            -0.2435518311314846,
            0.27114721060539115,
            -0.24414204502917233,
            -0.2427792527751228,
            0.29658546876420544,
            -0.21548195624560093,
            -0.24203701788107412,
            0.31892847985938383,
            -0.18413344369905324,
            -0.2413620931586856,
            0.33781339099128516,
            -0.15040421195066836,
            -0.2407907268001413,
            0.3529048352314225,
            -0.11466573186251772,
            -0.24035567764437007,
            0.36391320198754945,
            -0.07735213896080163,
            -0.24008322409629423,
            0.37061373601927433,
            -0.0389530733032611,
            -0.23999043229891645,
            0.37286359387657503,
            -4.2249463892491096e-16,
            -0.28021117236243615,
            0.3871382039807057,
            0,
            -0.28028658789971606,
            0.3847865867311656,
            0.04044269993886905,
            -0.2805079112087147,
            0.37778499421678907,
            0.08030067942124987,
            -0.2808609791296827,
            0.36628829406574215,
            0.11901428124151041,
            -0.2813240581816894,
            0.35053935371091804,
            0.15607017560161596,
            -0.2818701867463595,
            0.3308496619041955,
            0.1910161413616839,
            -0.28246970933221477,
            0.3075778588647897,
            0.2234683951381004,
            -0.28309258647988894,
            0.2811094846795888,
            0.25311211689598345,
            -0.2837102210238545,
            0.251840177454628,
            0.2796968528179146,
            -0.2842967125672813,
            0.22016331523708704,
            0.30302880664332227,
            -0.2848295823470092,
            0.18646209980162967,
            0.3229618305424012,
            -0.28529008204818374,
            0.15110548047073022,
            0.3393884658757253,
            -0.28566322098579916,
            0.11444707783142556,
            0.3522318873195933,
            -0.28593763512124465,
            0.07682627299893645,
            0.36143919714980827,
            -0.2861053961275878,
            0.038570757150665075,
            0.36697624080673946,
            -0.28616183079146057,
            1.0447932472939747e-16,
            0.368823960498344,
            -0.2861053961275878,
            -0.038570757150665026,
            0.36697624080673946,
            -0.28593763512124465,
            -0.07682627299893649,
            0.36143919714980827,
            -0.28566322098579916,
            -0.11444707783142552,
            0.3522318873195933,
            -0.28529008204818374,
            -0.1511054804707301,
            0.33938846587572535,
            -0.2848295823470092,
            -0.18646209980162953,
            0.3229618305424012,
            -0.2842967125672813,
            -0.22016331523708702,
            0.30302880664332227,
            -0.2837102210238545,
            -0.25184017745462794,
            0.27969685281791473,
            -0.28309258647988894,
            -0.2811094846795888,
            0.25311211689598356,
            -0.28246970933221477,
            -0.30757785886478967,
            0.22346839513810046,
            -0.2818701867463595,
            -0.3308496619041955,
            0.1910161413616839,
            -0.2813240581816894,
            -0.3505393537109181,
            0.1560701756016159,
            -0.2808609791296827,
            -0.36628829406574215,
            0.11901428124151045,
            -0.2805079112087147,
            -0.37778499421678907,
            0.08030067942124987,
            -0.28028658789971606,
            -0.38478658673116567,
            0.04044269993886898,
            -0.28021117236243615,
            -0.3871382039807057,
            2.1933465534182658e-16,
            -0.28028658789971606,
            -0.38478658673116567,
            -0.04044269993886889,
            -0.2805079112087147,
            -0.37778499421678907,
            -0.08030067942124976,
            -0.2808609791296827,
            -0.3662882940657422,
            -0.11901428124151035,
            -0.2813240581816894,
            -0.35053935371091804,
            -0.15607017560161598,
            -0.2818701867463595,
            -0.3308496619041955,
            -0.19101614136168382,
            -0.28246970933221477,
            -0.3075778588647897,
            -0.22346839513810038,
            -0.28309258647988894,
            -0.2811094846795888,
            -0.25311211689598345,
            -0.2837102210238545,
            -0.2518401774546281,
            -0.27969685281791457,
            -0.2842967125672813,
            -0.2201633152370871,
            -0.3030288066433222,
            -0.2848295823470092,
            -0.1864620998016298,
            -0.32296183054240113,
            -0.28529008204818374,
            -0.1511054804707304,
            -0.3393884658757252,
            -0.28566322098579916,
            -0.1144470778314256,
            -0.3522318873195933,
            -0.28593763512124465,
            -0.07682627299893666,
            -0.3614391971498082,
            -0.2861053961275878,
            -0.03857075715066536,
            -0.36697624080673946,
            -0.28616183079146057,
            -6.775186240097201e-17,
            -0.368823960498344,
            -0.2861053961275878,
            0.0385707571506649,
            -0.36697624080673946,
            -0.28593763512124465,
            0.07682627299893653,
            -0.3614391971498082,
            -0.28566322098579916,
            0.11444707783142548,
            -0.3522318873195933,
            -0.28529008204818374,
            0.15110548047073,
            -0.33938846587572535,
            -0.2848295823470092,
            0.18646209980162967,
            -0.3229618305424012,
            -0.2842967125672813,
            0.22016331523708696,
            -0.3030288066433223,
            -0.2837102210238545,
            0.2518401774546281,
            -0.27969685281791457,
            -0.28309258647988894,
            0.2811094846795888,
            -0.2531121168959834,
            -0.28246970933221477,
            0.30757785886478967,
            -0.22346839513810052,
            -0.2818701867463595,
            0.3308496619041955,
            -0.1910161413616838,
            -0.2813240581816894,
            0.3505393537109181,
            -0.15607017560161596,
            -0.2808609791296827,
            0.36628829406574215,
            -0.11901428124151049,
            -0.2805079112087147,
            0.37778499421678907,
            -0.08030067942124974,
            -0.28028658789971606,
            0.3847865867311656,
            -0.04044269993886903,
            -0.28021117236243615,
            0.3871382039807057,
            -4.3866931068365315e-16,
            -0.32144225285539846,
            0.39781292320615835,
            0,
            -0.32149580393029015,
            0.3953831045323725,
            0.04155643883884402,
            -0.3216528940512364,
            0.3881504229481482,
            0.08250391931262323,
            -0.3219032886706153,
            0.3762797284657239,
            0.12226069507168347,
            -0.3222313289340515,
            0.36002882406357334,
            0.160295160011003,
            -0.3226176696010079,
            0.3397270626929741,
            0.1961415110967894,
            -0.3230411405961121,
            0.31575184771711906,
            0.22940714566275944,
            -0.323480420415246,
            0.28850673010123684,
            0.259772626590299,
            -0.32391533455031535,
            0.2584035116750664,
            0.2869861739421402,
            -0.32432772350921546,
            0.2258493422421921,
            0.31085495141245967,
            -0.32470192139280796,
            0.191238694229071,
            0.3312351347778799,
            -0.32502493569009094,
            0.154949466492544,
            0.3480221998390928,
            -0.32528643051606343,
            0.11734224740575122,
            0.3611423030558261,
            -0.3254786043432436,
            0.07876180996939369,
            0.3705451826590301,
            -0.32559603285128996,
            0.039540078464973025,
            0.37619871706431135,
            -0.3256355263197335,
            1.0710279843804309e-16,
            0.37808512260857047,
            -0.32559603285129035,
            -0.03954007846497279,
            0.3761987170643095,
            -0.3254786043432436,
            -0.07876180996939373,
            0.3705451826590301,
            -0.32528643051606343,
            -0.11734224740575118,
            0.3611423030558261,
            -0.32502493569009094,
            -0.15494946649254393,
            0.3480221998390929,
            -0.32470192139280796,
            -0.19123869422907086,
            0.33123513477787997,
            -0.32432772350921546,
            -0.22584934224219205,
            0.31085495141245967,
            -0.32391533455031535,
            -0.25840351167506626,
            0.2869861739421403,
            -0.323480420415246,
            -0.2885067301012368,
            0.25977262659029904,
            -0.3230411405961121,
            -0.315751847717119,
            0.2294071456627595,
            -0.3226176696010079,
            -0.3397270626929741,
            0.1961415110967894,
            -0.3222313289340515,
            -0.3600288240635734,
            0.16029516001100297,
            -0.3219032886706153,
            -0.3762797284657239,
            0.12226069507168351,
            -0.3216528940512364,
            -0.3881504229481482,
            0.08250391931262323,
            -0.32149580393029015,
            -0.3953831045323725,
            0.04155643883884396,
            -0.32144225285539846,
            -0.39781292320615835,
            2.253824590411539e-16,
            -0.32149580393029015,
            -0.3953831045323725,
            -0.041556438838843864,
            -0.3216528940512364,
            -0.3881504229481482,
            -0.08250391931262312,
            -0.3219032886706153,
            -0.3762797284657239,
            -0.12226069507168341,
            -0.3222313289340515,
            -0.36002882406357334,
            -0.16029516001100302,
            -0.3226176696010079,
            -0.33972706269297415,
            -0.19614151109678932,
            -0.3230411405961121,
            -0.31575184771711906,
            -0.2294071456627594,
            -0.323480420415246,
            -0.28850673010123684,
            -0.259772626590299,
            -0.32391533455031535,
            -0.2584035116750665,
            -0.28698617394214015,
            -0.32432772350921546,
            -0.22584934224219214,
            -0.3108549514124596,
            -0.32470192139280796,
            -0.19123869422907114,
            -0.3312351347778799,
            -0.32502493569009094,
            -0.1549494664925442,
            -0.3480221998390927,
            -0.32528643051606343,
            -0.11734224740575128,
            -0.3611423030558261,
            -0.3254786043432436,
            -0.0787618099693939,
            -0.37054518265903,
            -0.32559603285128996,
            -0.03954007846497332,
            -0.37619871706431135,
            -0.3256355263197335,
            -6.945311028117306e-17,
            -0.37808512260857047,
            -0.32559603285128996,
            0.03954007846497285,
            -0.37619871706431135,
            -0.3254786043432436,
            0.07876180996939376,
            -0.37054518265903,
            -0.32528643051606343,
            0.11734224740575114,
            -0.3611423030558261,
            -0.32502493569009094,
            0.1549494664925438,
            -0.34802219983909294,
            -0.32470192139280796,
            0.191238694229071,
            -0.3312351347778799,
            -0.32432772350921546,
            0.22584934224219202,
            -0.3108549514124597,
            -0.32391533455031535,
            0.2584035116750665,
            -0.28698617394214015,
            -0.323480420415246,
            0.28850673010123684,
            -0.2597726265902989,
            -0.3230411405961121,
            0.315751847717119,
            -0.22940714566275952,
            -0.3226176696010079,
            0.33972706269297415,
            -0.1961415110967893,
            -0.3222313289340515,
            0.3600288240635734,
            -0.160295160011003,
            -0.3219032886706153,
            0.3762797284657239,
            -0.12226069507168355,
            -0.3216528940512364,
            0.3881504229481482,
            -0.08250391931262309,
            -0.32149580393029015,
            0.3953831045323725,
            -0.041556438838844,
            -0.32144225285539846,
            0.39781292320615835,
            -4.507649180823078e-16,
            -0.3634593939225452,
            0.4047468303244205,
            0,
            -0.36348741984210525,
            0.40226439675578185,
            0.04227969179562511,
            -0.3635696051483387,
            0.39487646541960114,
            0.08393358377400179,
            -0.3637005205696044,
            0.382755228145483,
            0.1243647124605871,
            -0.36387187856146685,
            0.36616939252643077,
            0.16302911723476807,
            -0.36407347389750894,
            0.34546121386457634,
            0.19945212481928798,
            -0.36429418318222556,
            0.32102145536362214,
            0.23323573972384615,
            -0.364522853574991,
            0.2932662671813338,
            0.26405813302620385,
            -0.3647489821671681,
            0.26261851870794056,
            0.29166741350294334,
            -0.3649631603142583,
            0.22949454992939305,
            0.31587214936948566,
            -0.3651573090837819,
            0.1942961233340324,
            0.3365307573282129,
            -0.3653247573854703,
            0.1574067076888793,
            0.35354125392841423,
            -0.36546021893844394,
            0.11919102274607885,
            0.36683224848468804,
            -0.3655597169451975,
            0.0799968488978534,
            0.3763555839882396,
            -0.36562049364697685,
            0.04015830319224378,
            0.3820807324341777,
            -0.36564093032107753,
            1.0877576843637033e-16,
            0.3839908979586321,
            -0.36562049364697685,
            -0.040158303192243734,
            0.38208073243417773,
            -0.3655597169451975,
            -0.07999684889785344,
            0.3763555839882396,
            -0.36546021893844394,
            -0.1191910227460788,
            0.36683224848468804,
            -0.3653247573854703,
            -0.15740670768887918,
            0.3535412539284143,
            -0.3651573090837819,
            -0.19429612333403226,
            0.33653075732821297,
            -0.3649631603142583,
            -0.22949454992939303,
            0.31587214936948566,
            -0.3647489821671681,
            -0.26261851870794045,
            0.2916674135029434,
            -0.364522853574991,
            -0.2932662671813338,
            0.26405813302620396,
            -0.36429418318222556,
            -0.3210214553636221,
            0.2332357397238462,
            -0.36407347389750894,
            -0.34546121386457634,
            0.19945212481928798,
            -0.36387187856146685,
            -0.3661693925264308,
            0.16302911723476804,
            -0.3637005205696044,
            -0.382755228145483,
            0.12436471246058714,
            -0.3635696051483387,
            -0.39487646541960114,
            0.08393358377400179,
            -0.36348741984210525,
            -0.4022643967557819,
            0.04227969179562504,
            -0.3634593939225452,
            -0.4047468303244205,
            2.2931089109027313e-16,
            -0.36348741984210525,
            -0.4022643967557819,
            -0.04227969179562495,
            -0.3635696051483387,
            -0.39487646541960114,
            -0.08393358377400169,
            -0.3637005205696044,
            -0.3827552281454831,
            -0.12436471246058704,
            -0.36387187856146685,
            -0.36616939252643077,
            -0.1630291172347681,
            -0.36407347389750894,
            -0.34546121386457634,
            -0.19945212481928787,
            -0.36429418318222556,
            -0.32102145536362214,
            -0.23323573972384612,
            -0.364522853574991,
            -0.2932662671813338,
            -0.26405813302620385,
            -0.3647489821671681,
            -0.2626185187079407,
            -0.29166741350294323,
            -0.3649631603142583,
            -0.2294945499293931,
            -0.3158721493694856,
            -0.3651573090837819,
            -0.1942961233340325,
            -0.33653075732821286,
            -0.3653247573854703,
            -0.15740670768887952,
            -0.3535412539284141,
            -0.36546021893844394,
            -0.11919102274607889,
            -0.36683224848468804,
            -0.3655597169451975,
            -0.0799968488978536,
            -0.37635558398823954,
            -0.36562049364697685,
            -0.04015830319224409,
            -0.3820807324341777,
            -0.36564093032107753,
            -7.05379836130135e-17,
            -0.3839908979586321,
            -0.36562049364697685,
            0.04015830319224361,
            -0.38208073243417773,
            -0.3655597169451975,
            0.07999684889785347,
            -0.37635558398823954,
            -0.36546021893844394,
            0.11919102274607876,
            -0.36683224848468804,
            -0.3653247573854703,
            0.15740670768887904,
            -0.35354125392841435,
            -0.3651573090837819,
            0.1942961233340324,
            -0.3365307573282129,
            -0.3649631603142583,
            0.22949454992939297,
            -0.31587214936948566,
            -0.3647489821671681,
            0.2626185187079407,
            -0.29166741350294323,
            -0.364522853574991,
            0.2932662671813338,
            -0.26405813302620385,
            -0.36429418318222556,
            0.3210214553636221,
            -0.23323573972384626,
            -0.36407347389750894,
            0.34546121386457634,
            -0.19945212481928787,
            -0.36387187856146685,
            0.3661693925264308,
            -0.16302911723476807,
            -0.3637005205696044,
            0.382755228145483,
            -0.12436471246058718,
            -0.3635696051483387,
            0.39487646541960114,
            -0.08393358377400165,
            -0.36348741984210525,
            0.40226439675578185,
            -0.04227969179562509,
            -0.3634593939225452,
            0.4047468303244205,
            -4.586217821805463e-16,
            -0.40599999999999986,
            0.4078079891062887,
            0,
            -0.40599999999999986,
            0.4053003555916824,
            0.042598783927370515,
            -0.40599999999999986,
            0.3978383030402856,
            0.0845631417948794,
            -0.40599999999999986,
            0.38559818280070257,
            0.12528844442356496,
            -0.40599999999999986,
            0.3688548094255264,
            0.16422474187025773,
            -0.40599999999999986,
            0.3479575375479611,
            0.2008933779698746,
            -0.40599999999999986,
            0.32330430521988607,
            0.23489432722947282,
            -0.40599999999999986,
            0.29531781652888267,
            0.2659053563558134,
            -0.40599999999999986,
            0.2644264645204014,
            0.29367534074839535,
            -0.40599999999999986,
            0.23105093337964586,
            0.31801432741173413,
            -0.40599999999999986,
            0.195596187799846,
            0.33878253503611694,
            -0.40599999999999986,
            0.15844790155462155,
            0.35587981363963483,
            -0.40599999999999986,
            0.11997219169974557,
            0.3692364393131405,
            -0.40599999999999986,
            0.08051762267059187,
            0.37880563195969175,
            -0.40599999999999986,
            0.04041866194777377,
            0.3845578805231378,
            -0.40599999999999986,
            1.0948002664354999e-16,
            0.38647700994163176,
            -0.40599999999999986,
            -0.04041866194777372,
            0.38455788052313783,
            -0.40599999999999986,
            -0.08051762267059191,
            0.37880563195969175,
            -0.40599999999999986,
            -0.11997219169974553,
            0.36923643931314054,
            -0.40599999999999986,
            -0.15844790155462143,
            0.3558798136396349,
            -0.40599999999999986,
            -0.19559618779984586,
            0.338782535036117,
            -0.40599999999999986,
            -0.2310509333796458,
            0.31801432741173413,
            -0.40599999999999986,
            -0.26442646452040125,
            0.2936753407483954,
            -0.40599999999999986,
            -0.2953178165288826,
            0.2659053563558135,
            -0.40599999999999986,
            -0.323304305219886,
            0.23489432722947287,
            -0.40599999999999986,
            -0.3479575375479611,
            0.2008933779698746,
            -0.40599999999999986,
            -0.3688548094255264,
            0.1642247418702577,
            -0.40599999999999986,
            -0.38559818280070257,
            0.12528844442356502,
            -0.40599999999999986,
            -0.3978383030402856,
            0.0845631417948794,
            -0.40599999999999986,
            -0.4053003555916825,
            0.04259878392737045,
            -0.40599999999999986,
            -0.4078079891062887,
            2.310452025053282e-16,
            -0.40599999999999986,
            -0.4053003555916825,
            -0.042598783927370355,
            -0.40599999999999986,
            -0.3978383030402856,
            -0.0845631417948793,
            -0.40599999999999986,
            -0.3855981828007026,
            -0.1252884444235649,
            -0.40599999999999986,
            -0.3688548094255264,
            -0.16422474187025776,
            -0.40599999999999986,
            -0.34795753754796116,
            -0.20089337796987453,
            -0.40599999999999986,
            -0.32330430521988607,
            -0.2348943272294728,
            -0.40599999999999986,
            -0.29531781652888267,
            -0.2659053563558134,
            -0.40599999999999986,
            -0.26442646452040147,
            -0.29367534074839524,
            -0.40599999999999986,
            -0.23105093337964588,
            -0.3180143274117341,
            -0.40599999999999986,
            -0.1955961877998461,
            -0.3387825350361169,
            -0.40599999999999986,
            -0.15844790155462177,
            -0.3558798136396347,
            -0.40599999999999986,
            -0.11997219169974561,
            -0.3692364393131405,
            -0.40599999999999986,
            -0.08051762267059209,
            -0.3788056319596917,
            -0.40599999999999986,
            -0.04041866194777407,
            -0.3845578805231378,
            -0.40599999999999986,
            -7.099467497535886e-17,
            -0.38647700994163176,
            -0.40599999999999986,
            0.04041866194777359,
            -0.38455788052313783,
            -0.40599999999999986,
            0.08051762267059195,
            -0.3788056319596917,
            -0.40599999999999986,
            0.11997219169974549,
            -0.36923643931314054,
            -0.40599999999999986,
            0.15844790155462132,
            -0.35587981363963495,
            -0.40599999999999986,
            0.195596187799846,
            -0.33878253503611694,
            -0.40599999999999986,
            0.23105093337964575,
            -0.3180143274117342,
            -0.40599999999999986,
            0.26442646452040147,
            -0.29367534074839524,
            -0.40599999999999986,
            0.29531781652888267,
            -0.2659053563558134,
            -0.40599999999999986,
            0.323304305219886,
            -0.2348943272294729,
            -0.40599999999999986,
            0.34795753754796116,
            -0.2008933779698745,
            -0.40599999999999986,
            0.3688548094255264,
            -0.16422474187025773,
            -0.40599999999999986,
            0.38559818280070257,
            -0.12528844442356504,
            -0.40599999999999986,
            0.3978383030402856,
            -0.08456314179487927,
            -0.40599999999999986,
            0.4053003555916824,
            -0.0425987839273705,
            -0.40599999999999986,
            0.4078079891062887,
            -4.620904050106564e-16,
            -0.44876475343344113,
            0.40687944996072656,
            0,
            -0.44873569097503735,
            0.4043755256953631,
            0.04250158038836704,
            -0.44865049406487323,
            0.39692480835062166,
            0.0843689725045406,
            -0.44851486636377236,
            0.3847041995260856,
            0.12499797164953912,
            -0.4483374943878705,
            0.3679892212549018,
            0.16383935718703194,
            -0.4481290404697128,
            0.34712986771284543,
            0.20041552256777045,
            -0.4479010811098511,
            0.3225244597885664,
            0.2343277363583484,
            -0.44766517321584354,
            0.2945957201411185,
            0.26525517784789776,
            -0.4474321507856424,
            0.2637716749269969,
            0.29294812323138036,
            -0.44721167490005237,
            0.2304722989258392,
            0.31721790541095296,
            -0.4470120048936358,
            0.195101580778206,
            0.3379258505448562,
            -0.44683993308260916,
            0.15804403355842153,
            0.3549727112683666,
            -0.4467008223047102,
            0.11966450015452136,
            0.3682894621098759,
            -0.44659869457889156,
            0.080310210274159,
            0.37782983335435455,
            -0.4465363323095931,
            0.040314270039814804,
            0.38356465786474453,
            -0.44651536597395486,
            1.0919701822560418e-16,
            0.3854779578724163,
            -0.4465363323095931,
            -0.040314270039814755,
            0.3835646578647446,
            -0.44659869457889156,
            -0.08031021027415904,
            0.37782983335435455,
            -0.4467008223047102,
            -0.11966450015452132,
            0.36828946210987595,
            -0.44683993308260916,
            -0.15804403355842142,
            0.3549727112683666,
            -0.4470120048936358,
            -0.19510158077820586,
            0.3379258505448562,
            -0.44721167490005237,
            -0.23047229892583918,
            0.31721790541095296,
            -0.4474321507856424,
            -0.26377167492699677,
            0.2929481232313804,
            -0.44766517321584354,
            -0.29459572014111846,
            0.26525517784789787,
            -0.4479010811098511,
            -0.3225244597885664,
            0.23432773635834844,
            -0.4481290404697128,
            -0.34712986771284543,
            0.20041552256777045,
            -0.4483374943878705,
            -0.36798922125490185,
            0.16383935718703188,
            -0.44851486636377236,
            -0.3847041995260856,
            0.12499797164953916,
            -0.44865049406487323,
            -0.39692480835062166,
            0.0843689725045406,
            -0.44873569097503735,
            -0.4043755256953631,
            0.04250158038836697,
            -0.44876475343344113,
            -0.40687944996072656,
            2.3051913504061106e-16,
            -0.44873569097503735,
            -0.4043755256953631,
            -0.04250158038836687,
            -0.44865049406487323,
            -0.39692480835062166,
            -0.08436897250454051,
            -0.44851486636377236,
            -0.38470419952608564,
            -0.12499797164953906,
            -0.4483374943878705,
            -0.3679892212549018,
            -0.16383935718703196,
            -0.4481290404697128,
            -0.3471298677128455,
            -0.20041552256777034,
            -0.4479010811098511,
            -0.3225244597885664,
            -0.23432773635834836,
            -0.44766517321584354,
            -0.2945957201411185,
            -0.26525517784789776,
            -0.4474321507856424,
            -0.263771674926997,
            -0.29294812323138025,
            -0.44721167490005237,
            -0.23047229892583926,
            -0.31721790541095296,
            -0.4470120048936358,
            -0.19510158077820614,
            -0.33792585054485613,
            -0.44683993308260916,
            -0.15804403355842175,
            -0.35497271126836644,
            -0.4467008223047102,
            -0.1196645001545214,
            -0.3682894621098759,
            -0.44659869457889156,
            -0.08031021027415922,
            -0.3778298333543545,
            -0.4465363323095931,
            -0.04031427003981511,
            -0.38356465786474453,
            -0.44651536597395486,
            -7.081115208754694e-17,
            -0.3854779578724163,
            -0.4465363323095931,
            0.04031427003981462,
            -0.3835646578647446,
            -0.44659869457889156,
            0.08031021027415908,
            -0.3778298333543545,
            -0.4467008223047102,
            0.11966450015452126,
            -0.36828946210987595,
            -0.44683993308260916,
            0.15804403355842128,
            -0.35497271126836666,
            -0.4470120048936358,
            0.195101580778206,
            -0.3379258505448562,
            -0.44721167490005237,
            0.23047229892583912,
            -0.317217905410953,
            -0.4474321507856424,
            0.263771674926997,
            -0.29294812323138025,
            -0.44766517321584354,
            0.2945957201411185,
            -0.2652551778478977,
            -0.4479010811098511,
            0.3225244597885664,
            -0.2343277363583485,
            -0.4481290404697128,
            0.3471298677128455,
            -0.20041552256777034,
            -0.4483374943878705,
            0.36798922125490185,
            -0.16383935718703194,
            -0.44851486636377236,
            0.3847041995260856,
            -0.1249979716495392,
            -0.44865049406487323,
            0.39692480835062166,
            -0.08436897250454048,
            -0.44873569097503735,
            0.4043755256953631,
            -0.042501580388367016,
            -0.44876475343344113,
            0.40687944996072656,
            -4.610382700812221e-16,
            -0.49141909679511836,
            0.40186525470676854,
            0,
            -0.4913616423796931,
            0.3993949737622903,
            0.04197810328624043,
            -0.4911932072053972,
            0.3920440308784405,
            0.08333153122677728,
            -0.49092504858859254,
            0.3799860151212386,
            0.12346494060594537,
            -0.49057431545596863,
            0.36349139782368484,
            0.1618367971740013,
            -0.49016206511645205,
            0.3429039586129473,
            0.19797569281137337,
            -0.48971117093815525,
            0.31861523999023755,
            0.23148752192354197,
            -0.4892444800633686,
            0.2910411427556193,
            0.2620546219942246,
            -0.48878342352735027,
            0.26060321048715185,
            0.2894291869716972,
            -0.4883471245787675,
            0.22771550789023243,
            0.31342350807102676,
            -0.48795194270678,
            0.19277678859428526,
            0.33389919236526644,
            -0.4876113404553627,
            0.15616700982048326,
            0.3507568469274661,
            -0.487335953664188,
            0.11824707615917454,
            0.36392707961419984,
            -0.487133763364217,
            0.07936079597321315,
            0.37336319024775527,
            -0.48701029324306266,
            0.03983825008754637,
            0.37903563055138106,
            -0.4869687811840155,
            1.0790816705186781e-16,
            0.38092816588609196,
            -0.48701029324306266,
            -0.03983825008754633,
            0.3790356305513811,
            -0.487133763364217,
            -0.07936079597321319,
            0.37336319024775527,
            -0.487335953664188,
            -0.1182470761591745,
            0.36392707961419984,
            -0.4876113404553627,
            -0.15616700982048315,
            0.3507568469274661,
            -0.48795194270678,
            -0.19277678859428513,
            0.3338991923652665,
            -0.4883471245787675,
            -0.22771550789023237,
            0.31342350807102676,
            -0.48878342352735027,
            -0.26060321048715174,
            0.28942918697169734,
            -0.4892444800633686,
            -0.29104114275561926,
            0.26205462199422463,
            -0.48971117093815525,
            -0.3186152399902375,
            0.23148752192354202,
            -0.49016206511645205,
            -0.3429039586129473,
            0.19797569281137337,
            -0.49057431545596863,
            -0.3634913978236849,
            0.16183679717400123,
            -0.49092504858859254,
            -0.3799860151212386,
            0.12346494060594541,
            -0.4911932072053972,
            -0.3920440308784405,
            0.08333153122677728,
            -0.4913616423796931,
            -0.39939497376229033,
            0.04197810328624037,
            -0.49141909679511836,
            -0.40186525470676854,
            2.27678323215441e-16,
            -0.4913616423796931,
            -0.39939497376229033,
            -0.04197810328624027,
            -0.4911932072053972,
            -0.3920440308784405,
            -0.08333153122677718,
            -0.49092504858859254,
            -0.3799860151212386,
            -0.12346494060594532,
            -0.49057431545596863,
            -0.36349139782368484,
            -0.16183679717400132,
            -0.49016206511645205,
            -0.34290395861294737,
            -0.19797569281137328,
            -0.48971117093815525,
            -0.31861523999023755,
            -0.23148752192354194,
            -0.4892444800633686,
            -0.2910411427556193,
            -0.2620546219942246,
            -0.48878342352735027,
            -0.26060321048715196,
            -0.28942918697169717,
            -0.4883471245787675,
            -0.22771550789023245,
            -0.3134235080710267,
            -0.48795194270678,
            -0.19277678859428538,
            -0.3338991923652664,
            -0.4876113404553627,
            -0.15616700982048345,
            -0.35075684692746595,
            -0.487335953664188,
            -0.11824707615917458,
            -0.36392707961419984,
            -0.487133763364217,
            -0.07936079597321335,
            -0.3733631902477552,
            -0.48701029324306266,
            -0.03983825008754667,
            -0.37903563055138106,
            -0.4869687811840155,
            -6.997536885862117e-17,
            -0.38092816588609196,
            -0.48701029324306266,
            0.0398382500875462,
            -0.3790356305513811,
            -0.487133763364217,
            0.07936079597321322,
            -0.3733631902477552,
            -0.487335953664188,
            0.11824707615917444,
            -0.36392707961419984,
            -0.4876113404553627,
            0.156167009820483,
            -0.35075684692746617,
            -0.48795194270678,
            0.19277678859428526,
            -0.33389919236526644,
            -0.4883471245787675,
            0.22771550789023232,
            -0.31342350807102676,
            -0.48878342352735027,
            0.26060321048715196,
            -0.28942918697169717,
            -0.4892444800633686,
            0.2910411427556193,
            -0.2620546219942245,
            -0.48971117093815525,
            0.3186152399902375,
            -0.23148752192354208,
            -0.49016206511645205,
            0.34290395861294737,
            -0.19797569281137326,
            -0.49057431545596863,
            0.3634913978236849,
            -0.1618367971740013,
            -0.49092504858859254,
            0.3799860151212386,
            -0.12346494060594546,
            -0.4911932072053972,
            0.3920440308784405,
            -0.08333153122677714,
            -0.4913616423796931,
            0.3993949737622903,
            -0.04197810328624041,
            -0.49141909679511836,
            0.40186525470676854,
            -4.55356646430882e-16,
            -0.533594877247489,
            0.3926966531324943,
            0,
            -0.5335115523461417,
            0.39029037694820023,
            0.041021171600693185,
            -0.5332672267202276,
            0.3831289205047233,
            0.08143656601883122,
            -0.5328781007991747,
            0.37137866968123745,
            0.12066824454020854,
            -0.5323688858512621,
            0.3552992416133044,
            0.15818941423461144,
            -0.5317699811178683,
            0.33522128681139746,
            0.19354010017865303,
            -0.5311144828254419,
            0.31152233620106423,
            0.22633422567365716,
            -0.5304355347512114,
            0.28460454945639585,
            0.2562590873561035,
            -0.529764312513975,
            0.25487679090620896,
            0.2830693537199391,
            -0.529128713613337,
            0.22274193542205267,
            0.30657797284567095,
            -0.5285526705625215,
            0.18858916831356753,
            0.32664602127625747,
            -0.528055930318126,
            0.15279042772926446,
            0.3431729193804823,
            -0.527654131432735,
            0.11569995443332971,
            0.35608784501138574,
            -0.5273590334772994,
            0.07765599358491278,
            0.3653427256010465,
            -0.5271787888573733,
            0.038983886562595736,
            0.3709069045986064,
            -0.5271181819282434,
            1.0559528690975263e-16,
            0.3727634345731524,
            -0.5271787888573733,
            -0.03898388656259569,
            0.3709069045986064,
            -0.5273590334772994,
            -0.07765599358491282,
            0.3653427256010465,
            -0.5276541314327343,
            -0.11569995443332909,
            0.356087845011384,
            -0.528055930318126,
            -0.15279042772926435,
            0.3431729193804823,
            -0.5285526705625215,
            -0.1885891683135674,
            0.3266460212762575,
            -0.529128713613337,
            -0.22274193542205262,
            0.30657797284567095,
            -0.529764312513975,
            -0.2548767909062088,
            0.28306935371993913,
            -0.5304355347512114,
            -0.28460454945639585,
            0.25625908735610353,
            -0.5311144828254419,
            -0.3115223362010642,
            0.22633422567365719,
            -0.5317699811178683,
            -0.33522128681139746,
            0.19354010017865303,
            -0.5323688858512621,
            -0.3552992416133044,
            0.1581894142346114,
            -0.5328781007991747,
            -0.37137866968123745,
            0.12066824454020858,
            -0.5332672267202276,
            -0.3831289205047233,
            0.08143656601883122,
            -0.5335115523461417,
            -0.3902903769482003,
            0.041021171600693115,
            -0.533594877247489,
            -0.3926966531324943,
            2.224838163298323e-16,
            -0.5335115523461417,
            -0.3902903769482003,
            -0.041021171600693025,
            -0.5332672267202276,
            -0.3831289205047233,
            -0.0814365660188311,
            -0.5328781007991747,
            -0.3713786696812375,
            -0.1206682445402085,
            -0.5323688858512621,
            -0.3552992416133044,
            -0.15818941423461144,
            -0.5317699811178683,
            -0.3352212868113975,
            -0.19354010017865292,
            -0.5311144828254419,
            -0.31152233620106423,
            -0.2263342256736571,
            -0.5304355347512114,
            -0.28460454945639585,
            -0.2562590873561035,
            -0.529764312513975,
            -0.254876790906209,
            -0.28306935371993897,
            -0.529128713613337,
            -0.2227419354220527,
            -0.3065779728456709,
            -0.5285526705625215,
            -0.18858916831356767,
            -0.3266460212762574,
            -0.528055930318126,
            -0.15279042772926466,
            -0.34317291938048217,
            -0.5276541314327343,
            -0.11569995443332919,
            -0.356087845011384,
            -0.5273590334772994,
            -0.07765599358491299,
            -0.3653427256010465,
            -0.5271787888573733,
            -0.03898388656259603,
            -0.3709069045986064,
            -0.5271181819282434,
            -6.847553204837773e-17,
            -0.3727634345731524,
            -0.5271787888573733,
            0.038983886562595556,
            -0.3709069045986064,
            -0.5273590334772994,
            0.07765599358491286,
            -0.3653427256010465,
            -0.5276541314327343,
            0.11569995443332905,
            -0.356087845011384,
            -0.528055930318126,
            0.1527904277292642,
            -0.34317291938048233,
            -0.5285526705625215,
            0.18858916831356753,
            -0.32664602127625747,
            -0.529128713613337,
            0.2227419354220526,
            -0.306577972845671,
            -0.529764312513975,
            0.254876790906209,
            -0.28306935371993897,
            -0.5304355347512114,
            0.28460454945639585,
            -0.2562590873561034,
            -0.5311144828254419,
            0.3115223362010642,
            -0.22633422567365724,
            -0.5317699811178683,
            0.3352212868113975,
            -0.19354010017865292,
            -0.5323688858512621,
            0.3552992416133044,
            -0.15818941423461144,
            -0.5328781007991747,
            0.37137866968123745,
            -0.12066824454020864,
            -0.5332672267202276,
            0.3831289205047233,
            -0.08143656601883108,
            -0.5335115523461417,
            0.39029037694820023,
            -0.041021171600693164,
            -0.533594877247489,
            0.3926966531324943,
            -4.449676326596646e-16,
            -0.5748924575064605,
            0.37933867039456565,
            0,
            -0.5747876406900441,
            0.3770264807117617,
            0.039627079930119026,
            -0.5744801867800988,
            0.3701434698798315,
            0.07867642328226837,
            -0.5739901855818772,
            0.3588451641667246,
            0.11659586173569952,
            -0.5733483550254904,
            0.34337484223765735,
            0.1528803295774982,
            -0.5725926126253987,
            0.32404343964593496,
            0.18708656710871277,
            -0.57176441324412,
            0.30120751829849257,
            0.21884007179880777,
            -0.5709054684814947,
            0.27524876459840897,
            0.24783510083239152,
            -0.5700552118005041,
            0.24655725691243469,
            0.2738295751489065,
            -0.5692491125366919,
            0.215519403769787,
            0.29663701085946176,
            -0.5685177530525485,
            0.1825104248841541,
            0.3161173288103379,
            -0.567886487902964,
            0.14789066567746678,
            0.33216787362876427,
            -0.5673754835462467,
            0.1120048382702642,
            0.3447154468283689,
            -0.5669999607165618,
            0.07518332748703381,
            0.35370974622627854,
            -0.5667705024173748,
            0.037744858116702674,
            0.3591183363952308,
            -0.5666933321691618,
            1.0224120255932653e-16,
            0.3609231333731429,
            -0.5667705024173748,
            -0.037744858116702626,
            0.35911833639523083,
            -0.5669999607165618,
            -0.07518332748703385,
            0.35370974622627854,
            -0.5673754835462467,
            -0.11200483827026415,
            0.3447154468283689,
            -0.5678864879029648,
            -0.1478906656774674,
            0.33216787362876593,
            -0.5685177530525485,
            -0.18251042488415398,
            0.31611732881033794,
            -0.5692491125366919,
            -0.215519403769787,
            0.29663701085946176,
            -0.5700552118005041,
            -0.24655725691243455,
            0.27382957514890655,
            -0.5709054684814947,
            -0.2752487645984089,
            0.24783510083239163,
            -0.57176441324412,
            -0.3012075182984925,
            0.2188400717988078,
            -0.5725926126253987,
            -0.32404343964593496,
            0.18708656710871277,
            -0.5733483550254904,
            -0.3433748422376574,
            0.15288032957749814,
            -0.5739901855818772,
            -0.3588451641667246,
            0.11659586173569957,
            -0.5744801867800988,
            -0.3701434698798315,
            0.07867642328226837,
            -0.5747876406900441,
            -0.3770264807117617,
            0.039627079930118964,
            -0.5748924575064605,
            -0.37933867039456565,
            2.1491579925024775e-16,
            -0.5747876406900441,
            -0.3770264807117617,
            -0.03962707993011887,
            -0.5744801867800988,
            -0.3701434698798315,
            -0.07867642328226827,
            -0.5739901855818772,
            -0.3588451641667246,
            -0.11659586173569948,
            -0.5733483550254904,
            -0.34337484223765735,
            -0.15288032957749823,
            -0.5725926126253987,
            -0.324043439645935,
            -0.18708656710871266,
            -0.57176441324412,
            -0.30120751829849257,
            -0.21884007179880777,
            -0.5709054684814947,
            -0.27524876459840897,
            -0.24783510083239152,
            -0.5700552118005041,
            -0.24655725691243477,
            -0.27382957514890643,
            -0.5692491125366919,
            -0.21551940376978707,
            -0.29663701085946176,
            -0.5685177530525485,
            -0.1825104248841542,
            -0.3161173288103379,
            -0.567886487902964,
            -0.14789066567746698,
            -0.3321678736287642,
            -0.5673754835462467,
            -0.11200483827026424,
            -0.3447154468283689,
            -0.5669999607165618,
            -0.075183327487034,
            -0.3537097462262785,
            -0.5667705024173748,
            -0.03774485811670296,
            -0.3591183363952308,
            -0.5666933321691618,
            -6.63005040035479e-17,
            -0.3609231333731429,
            -0.5667705024173748,
            0.03774485811670251,
            -0.35911833639523083,
            -0.5669999607165618,
            0.07518332748703387,
            -0.3537097462262785,
            -0.5673754835462467,
            0.11200483827026413,
            -0.3447154468283689,
            -0.567886487902964,
            0.14789066567746656,
            -0.3321678736287644,
            -0.5685177530525485,
            0.1825104248841541,
            -0.3161173288103379,
            -0.5692491125366919,
            0.21551940376978698,
            -0.2966370108594618,
            -0.5700552118005041,
            0.24655725691243477,
            -0.27382957514890643,
            -0.5709054684814947,
            0.27524876459840897,
            -0.2478351008323915,
            -0.57176441324412,
            0.3012075182984925,
            -0.21884007179880785,
            -0.5725926126253987,
            0.324043439645935,
            -0.18708656710871266,
            -0.5733483550254904,
            0.3433748422376574,
            -0.1528803295774982,
            -0.5739901855818772,
            0.3588451641667246,
            -0.11659586173569962,
            -0.5744801867800988,
            0.3701434698798315,
            -0.07867642328226825,
            -0.5747876406900441,
            0.3770264807117617,
            -0.03962707993011901,
            -0.5748924575064605,
            0.37933867039456565,
            -4.298315985004955e-16,
            -0.6148836433847452,
            0.3617970832124776,
            0,
            -0.6147634026192459,
            0.3596079987073351,
            0.037796323699554824,
            -0.6144105235963286,
            0.35308938871641943,
            0.075051466427732,
            -0.6138475688061326,
            0.3423827704915353,
            0.11124690578349053,
            -0.6131091593070409,
            0.32771030311753924,
            0.14590602741908387,
            -0.6122382448107526,
            0.3093573672161291,
            0.17860755923802601,
            -0.6112820714582734,
            0.2876532554203922,
            0.20899232338210355,
            -0.6102885095654331,
            0.26295293670016145,
            0.2367638876648193,
            -0.6093031514032297,
            0.23562188888220628,
            0.26168461856027175,
            -0.6083673163748294,
            0.2060248872458087,
            0.28356892997224314,
            -0.6075168947342448,
            0.1745187501316107,
            0.3022753421013673,
            -0.6067818490721526,
            0.14144850992584734,
            0.3176985549074085,
            -0.6061861609086204,
            0.10714626641859903,
            0.3297623002263159,
            -0.6057480277560556,
            0.07193198376189569,
            0.3384133766407299,
            -0.6054801561937148,
            0.03611560484519676,
            0.34361702698188906,
            -0.6053900405784485,
            9.783073560235795e-17,
            0.345353680805093,
            -0.6054801561937148,
            -0.036115604845196714,
            0.3436170269818891,
            -0.6057480277560556,
            -0.07193198376189573,
            0.3384133766407299,
            -0.6061861609086204,
            -0.10714626641859899,
            0.329762300226316,
            -0.6067818490721526,
            -0.14144850992584726,
            0.31769855490740856,
            -0.6075168947342448,
            -0.17451875013161058,
            0.30227534210136736,
            -0.6083673163748294,
            -0.20602488724580864,
            0.28356892997224314,
            -0.6093031514032297,
            -0.23562188888220614,
            0.26168461856027186,
            -0.6102885095654331,
            -0.2629529367001614,
            0.23676388766481937,
            -0.6112820714582734,
            -0.28765325542039216,
            0.2089923233821036,
            -0.6122382448107526,
            -0.3093573672161291,
            0.17860755923802601,
            -0.6131091593070409,
            -0.3277103031175393,
            0.14590602741908384,
            -0.6138475688061326,
            -0.3423827704915353,
            0.11124690578349057,
            -0.6144105235963286,
            -0.35308938871641943,
            0.075051466427732,
            -0.6147634026192459,
            -0.3596079987073352,
            0.03779632369955476,
            -0.6148836433847452,
            -0.3617970832124776,
            2.0497754479958747e-16,
            -0.6147634026192459,
            -0.3596079987073352,
            -0.03779632369955468,
            -0.6144105235963286,
            -0.35308938871641943,
            -0.07505146642773192,
            -0.6138475688061326,
            -0.34238277049153537,
            -0.1112469057834905,
            -0.6131091593070409,
            -0.32771030311753924,
            -0.1459060274190839,
            -0.6122382448107526,
            -0.30935736721612916,
            -0.17860755923802593,
            -0.6112820714582734,
            -0.2876532554203922,
            -0.20899232338210352,
            -0.6102885095654331,
            -0.26295293670016145,
            -0.2367638876648193,
            -0.6093031514032297,
            -0.23562188888220637,
            -0.26168461856027164,
            -0.6083673163748294,
            -0.20602488724580875,
            -0.2835689299722431,
            -0.6075168947342448,
            -0.1745187501316108,
            -0.3022753421013673,
            -0.6067818490721526,
            -0.14144850992584754,
            -0.3176985549074084,
            -0.6061861609086204,
            -0.10714626641859908,
            -0.3297623002263159,
            -0.6057480277560556,
            -0.07193198376189588,
            -0.33841337664072985,
            -0.6054801561937148,
            -0.03611560484519703,
            -0.34361702698188906,
            -0.6053900405784485,
            -6.344044196575707e-17,
            -0.345353680805093,
            -0.6054801561937148,
            0.0361156048451966,
            -0.3436170269818891,
            -0.6057480277560556,
            0.07193198376189575,
            -0.33841337664072985,
            -0.6061861609086204,
            0.10714626641859896,
            -0.329762300226316,
            -0.6067818490721526,
            0.14144850992584715,
            -0.31769855490740856,
            -0.6075168947342448,
            0.1745187501316107,
            -0.3022753421013673,
            -0.6083673163748294,
            0.2060248872458086,
            -0.2835689299722432,
            -0.6093031514032297,
            0.23562188888220637,
            -0.26168461856027164,
            -0.6102885095654331,
            0.26295293670016145,
            -0.23676388766481923,
            -0.6112820714582734,
            0.28765325542039216,
            -0.2089923233821036,
            -0.6122382448107526,
            0.30935736721612916,
            -0.1786075592380259,
            -0.6131091593070409,
            0.3277103031175393,
            -0.14590602741908387,
            -0.6138475688061326,
            0.3423827704915353,
            -0.11124690578349061,
            -0.6144105235963286,
            0.35308938871641943,
            -0.07505146642773187,
            -0.6147634026192459,
            0.3596079987073351,
            -0.03779632369955481,
            -0.6148836433847452,
            0.3617970832124776,
            -4.0995508959917495e-16,
            -0.6531158272079768,
            0.34012575683133783,
            0,
            -0.6529875518111006,
            0.33808692360226567,
            0.035534367558541315,
            -0.6526108399589186,
            0.33201332629902824,
            0.07057161106674856,
            -0.6520090900145954,
            0.32203007959982155,
            0.10463391564143265,
            -0.6512183723699665,
            0.30833450427755543,
            0.13727936597475518,
            -0.6502837289960597,
            0.291181736632243,
            0.1681138540277282,
            -0.6492551090343719,
            0.2708685446365028,
            0.1967975171773377,
            -0.6481835857856544,
            0.24771774762625007,
            0.22304606180702724,
            -0.6471182781012488,
            0.22206493551455525,
            0.24662809648720274,
            -0.6461041449459741,
            0.19424833368115882,
            0.2673598945603987,
            -0.6451806182701305,
            0.16460193935706255,
            0.28509892199080344,
            -0.6443809187689897,
            0.13345158877294044,
            0.29973717591996707,
            -0.6437318547558524,
            0.10111339720954783,
            0.3111950379796875,
            -0.6432539116042936,
            0.06789397731499609,
            0.3194160499283779,
            -0.6429614726215429,
            0.03409190464702882,
            0.32436280575043674,
            -0.642863053578707,
            9.235225686994753e-17,
            0.32601402457332734,
            -0.6429614726215429,
            -0.03409190464702878,
            0.3243628057504368,
            -0.6432539116042936,
            -0.06789397731499612,
            0.3194160499283779,
            -0.6437318547558524,
            -0.10111339720954778,
            0.3111950379796875,
            -0.6443809187689897,
            -0.13345158877294033,
            0.2997371759199671,
            -0.6451806182701305,
            -0.16460193935706244,
            0.2850989219908035,
            -0.6461041449459741,
            -0.19424833368115876,
            0.2673598945603987,
            -0.6471182781012488,
            -0.22206493551455514,
            0.24662809648720282,
            -0.6481835857856544,
            -0.24771774762625004,
            0.22304606180702727,
            -0.649255109034373,
            -0.270868544636504,
            0.19679751717733862,
            -0.6502837289960597,
            -0.291181736632243,
            0.1681138540277282,
            -0.6512183723699665,
            -0.3083345042775555,
            0.13727936597475518,
            -0.6520090900145954,
            -0.32203007959982155,
            0.10463391564143269,
            -0.6526108399589186,
            -0.33201332629902824,
            0.07057161106674856,
            -0.6529875518111006,
            -0.3380869236022657,
            0.03553436755854126,
            -0.6531158272079768,
            -0.34012575683133783,
            1.9269957054199027e-16,
            -0.6529875518111006,
            -0.3380869236022657,
            -0.035534367558541176,
            -0.6526108399589186,
            -0.33201332629902824,
            -0.07057161106674847,
            -0.6520090900145954,
            -0.32203007959982155,
            -0.10463391564143262,
            -0.6512183723699665,
            -0.30833450427755543,
            -0.1372793659747552,
            -0.6502837289960597,
            -0.29118173663224306,
            -0.1681138540277281,
            -0.649255109034373,
            -0.27086854463650406,
            -0.19679751717733854,
            -0.6481835857856544,
            -0.24771774762625007,
            -0.22304606180702724,
            -0.6471182781012488,
            -0.2220649355145553,
            -0.24662809648720269,
            -0.6461041449459741,
            -0.19424833368115885,
            -0.26735989456039866,
            -0.6451806182701305,
            -0.16460193935706263,
            -0.2850989219908034,
            -0.6443809187689897,
            -0.1334515887729406,
            -0.29973717591996696,
            -0.6437318547558524,
            -0.10111339720954785,
            -0.3111950379796875,
            -0.6432539116042936,
            -0.06789397731499627,
            -0.31941604992837785,
            -0.6429614726215429,
            -0.03409190464702907,
            -0.32436280575043674,
            -0.642863053578707,
            -5.988780475063077e-17,
            -0.32601402457332734,
            -0.6429614726215429,
            0.03409190464702866,
            -0.3243628057504368,
            -0.6432539116042936,
            0.06789397731499615,
            -0.31941604992837785,
            -0.6437318547558524,
            0.10111339720954775,
            -0.3111950379796875,
            -0.6443809187689897,
            0.13345158877294022,
            -0.2997371759199671,
            -0.6451806182701305,
            0.16460193935706255,
            -0.28509892199080344,
            -0.6461041449459741,
            0.19424833368115876,
            -0.26735989456039877,
            -0.6471182781012488,
            0.2220649355145553,
            -0.24662809648720269,
            -0.6481835857856544,
            0.24771774762625007,
            -0.22304606180702718,
            -0.649255109034373,
            0.270868544636504,
            -0.19679751717733868,
            -0.6502837289960597,
            0.29118173663224306,
            -0.16811385402772808,
            -0.6512183723699665,
            0.3083345042775555,
            -0.13727936597475518,
            -0.6520090900145954,
            0.32203007959982155,
            -0.10463391564143273,
            -0.6526108399589186,
            0.33201332629902824,
            -0.07057161106674846,
            -0.6529875518111006,
            0.33808692360226567,
            -0.0355343675585413,
            -0.6531158272079768,
            0.34012575683133783,
            -3.8539914108398054e-16,
            -0.6891177828895219,
            0.3144341528477975,
            0,
            -0.688989607117223,
            0.3125700758699036,
            0.03285243879124068,
            -0.6886128837606913,
            0.30701451857932915,
            0.06525795045199932,
            -0.6880101818198823,
            0.297874740545547,
            0.09678537021351494,
            -0.6872164895066148,
            0.28532084926751666,
            0.12703302661049143,
            -0.6862758473734804,
            0.2695745375976501,
            0.15563893184867214,
            -0.6852375771533095,
            0.2508961913440565,
            0.18228675312602755,
            -0.6841526768013086,
            0.22957218347322633,
            0.20670772245757874,
            -0.6830707812011614,
            0.2059037173406226,
            0.22867924532834813,
            -0.6820378772279585,
            0.18019798371212598,
            0.2480212468867292,
            -0.6810947806619037,
            0.15276185308365117,
            0.2645912909992561,
            -0.6802762641853707,
            0.1238979407929307,
            0.27827933123192955,
            -0.679610671623476,
            0.09390267392671703,
            0.28900271364099284,
            -0.6791198475073736,
            0.06306591985093651,
            0.29670182541267104,
            -0.6788192329378482,
            0.03167175375260772,
            0.30133660810670176,
            -0.6787180125143366,
            8.580006485833433e-17,
            0.302884037717767,
            -0.6788192329378482,
            -0.03167175375260769,
            0.30133660810670176,
            -0.6791198475073736,
            -0.06306591985093654,
            0.29670182541267104,
            -0.679610671623476,
            -0.09390267392671699,
            0.2890027136409929,
            -0.6802762641853707,
            -0.12389794079293064,
            0.27827933123192955,
            -0.6810947806619037,
            -0.15276185308365106,
            0.26459129099925616,
            -0.6820378772279585,
            -0.18019798371212592,
            0.2480212468867292,
            -0.6830707812011614,
            -0.2059037173406225,
            0.2286792453283482,
            -0.6841526768013086,
            -0.22957218347322633,
            0.20670772245757882,
            -0.6852375771533095,
            -0.25089619134405644,
            0.18228675312602757,
            -0.6862758473734804,
            -0.2695745375976501,
            0.15563893184867214,
            -0.6872164895066148,
            -0.28532084926751666,
            0.1270330266104914,
            -0.6880101818198823,
            -0.297874740545547,
            0.09678537021351497,
            -0.6886128837606913,
            -0.30701451857932915,
            0.06525795045199932,
            -0.688989607117223,
            -0.3125700758699036,
            0.03285243879124063,
            -0.6891177828895219,
            -0.3144341528477975,
            1.7814389237081871e-16,
            -0.688989607117223,
            -0.3125700758699036,
            -0.03285243879124056,
            -0.6886128837606913,
            -0.30701451857932915,
            -0.06525795045199924,
            -0.6880101818198823,
            -0.2978747405455471,
            -0.0967853702135149,
            -0.6872164895066148,
            -0.28532084926751666,
            -0.12703302661049146,
            -0.6862758473734804,
            -0.26957453759765015,
            -0.15563893184867209,
            -0.6852375771533095,
            -0.2508961913440565,
            -0.1822867531260275,
            -0.6841526768013086,
            -0.22957218347322633,
            -0.20670772245757874,
            -0.6830707812011614,
            -0.20590371734062266,
            -0.22867924532834807,
            -0.6820378772279585,
            -0.180197983712126,
            -0.24802124688672914,
            -0.6810947806619037,
            -0.15276185308365128,
            -0.2645912909992561,
            -0.6802762641853707,
            -0.12389794079293089,
            -0.27827933123192944,
            -0.679610671623476,
            -0.09390267392671706,
            -0.28900271364099284,
            -0.6791198475073736,
            -0.06306591985093668,
            -0.29670182541267104,
            -0.6788192329378482,
            -0.031671753752607966,
            -0.30133660810670176,
            -0.6787180125143366,
            -5.563889509558342e-17,
            -0.302884037717767,
            -0.6788192329378482,
            0.031671753752607584,
            -0.30133660810670176,
            -0.6791198475073736,
            0.06306591985093658,
            -0.29670182541267104,
            -0.679610671623476,
            0.09390267392671696,
            -0.2890027136409929,
            -0.6802762641853707,
            0.12389794079293052,
            -0.2782793312319296,
            -0.6810947806619037,
            0.15276185308365117,
            -0.2645912909992561,
            -0.6820378772279585,
            0.1801979837121259,
            -0.24802124688672925,
            -0.6830707812011614,
            0.20590371734062266,
            -0.22867924532834807,
            -0.6841526768013086,
            0.22957218347322633,
            -0.2067077224575787,
            -0.6852375771533095,
            0.25089619134405644,
            -0.18228675312602763,
            -0.6862758473734804,
            0.26957453759765015,
            -0.15563893184867209,
            -0.6872164895066148,
            0.28532084926751666,
            -0.12703302661049143,
            -0.6880101818198823,
            0.297874740545547,
            -0.096785370213515,
            -0.6886128837606913,
            0.30701451857932915,
            -0.06525795045199922,
            -0.688989607117223,
            0.3125700758699036,
            -0.03285243879124067,
            -0.6891177828895219,
            0.3144341528477975,
            -3.5628778474163743e-16,
            -0.7224075469124596,
            0.2848946348863373,
            0,
            -0.7222875860370874,
            0.28322653071799514,
            0.029768307918065503,
            -0.7219346850212918,
            0.27825254084201884,
            0.059144403357326916,
            -0.7213691019695203,
            0.2700616420772024,
            0.08774834670788449,
            -0.7206224455893858,
            0.25879584661874094,
            0.1152233345533716,
            -0.7197348685721194,
            0.2446419094045724,
            0.14124407224979388,
            -0.7187518511065876,
            0.2278216382302933,
            0.1655221089741601,
            -0.7177210293293084,
            0.20858208136992767,
            0.187808149633544,
            -0.7166894110518924,
            0.1871866120997225,
            0.20789179400642946,
            -0.7157011679042552,
            0.1639075525273303,
            0.2255993919272966,
            -0.714796049766994,
            0.13902060603669933,
            0.24079075295457975,
            -0.7140083635568983,
            0.11280107702700506,
            0.2533553671386553,
            -0.7133664013069365,
            0.08552167406318233,
            0.26320864833592406,
            -0.7128921846732716,
            0.057451606354345,
            0.27028855709255534,
            -0.7126014015975137,
            0.028856665053540953,
            0.2745528282528171,
            -0.7125034337087415,
            7.817790195739925e-17,
            0.27597693130252593,
            -0.7126014015975137,
            -0.02885666505354092,
            0.2745528282528172,
            -0.7128921846732716,
            -0.057451606354345035,
            0.27028855709255534,
            -0.7133664013069365,
            -0.0855216740631823,
            0.2632086483359241,
            -0.7140083635568983,
            -0.11280107702700497,
            0.25335536713865536,
            -0.714796049766994,
            -0.13902060603669922,
            0.24079075295457977,
            -0.7157011679042552,
            -0.16390755252733025,
            0.2255993919272966,
            -0.7166894110518924,
            -0.18718661209972243,
            0.20789179400642951,
            -0.7177210293293084,
            -0.20858208136992762,
            0.18780814963354406,
            -0.7187518511065876,
            -0.2278216382302933,
            0.16552210897416011,
            -0.7197348685721194,
            -0.2446419094045724,
            0.14124407224979388,
            -0.7206224455893858,
            -0.258795846618741,
            0.11522333455337157,
            -0.7213691019695203,
            -0.2700616420772024,
            0.08774834670788452,
            -0.7219346850212918,
            -0.27825254084201884,
            0.059144403357326916,
            -0.7222875860370874,
            -0.2832265307179952,
            0.029768307918065454,
            -0.7224075469124596,
            -0.2848946348863373,
            1.6140816356797634e-16,
            -0.7222875860370874,
            -0.2832265307179952,
            -0.02976830791806539,
            -0.7219346850212918,
            -0.27825254084201884,
            -0.05914440335732685,
            -0.7213691019695203,
            -0.27006164207720246,
            -0.08774834670788445,
            -0.7206224455893858,
            -0.25879584661874094,
            -0.11522333455337161,
            -0.7197348685721194,
            -0.2446419094045724,
            -0.14124407224979382,
            -0.7187518511065876,
            -0.2278216382302933,
            -0.16552210897416003,
            -0.7177210293293084,
            -0.20858208136992767,
            -0.187808149633544,
            -0.7166894110518924,
            -0.18718661209972257,
            -0.20789179400642938,
            -0.7157011679042552,
            -0.16390755252733033,
            -0.2255993919272966,
            -0.714796049766994,
            -0.1390206060366994,
            -0.2407907529545797,
            -0.7140083635568983,
            -0.1128010770270052,
            -0.2533553671386552,
            -0.7133664013069365,
            -0.08552167406318237,
            -0.26320864833592406,
            -0.7128921846732716,
            -0.05745160635434516,
            -0.27028855709255534,
            -0.7126014015975137,
            -0.028856665053541168,
            -0.2745528282528171,
            -0.7125034337087415,
            -5.06961398337221e-17,
            -0.27597693130252593,
            -0.7126014015975137,
            0.02885666505354082,
            -0.2745528282528172,
            -0.7128921846732716,
            0.057451606354345056,
            -0.27028855709255534,
            -0.7133664013069365,
            0.08552167406318227,
            -0.2632086483359241,
            -0.7140083635568983,
            0.11280107702700488,
            -0.25335536713865536,
            -0.714796049766994,
            0.13902060603669933,
            -0.24079075295457975,
            -0.7157011679042552,
            0.16390755252733025,
            -0.22559939192729667,
            -0.7166894110518924,
            0.18718661209972257,
            -0.20789179400642938,
            -0.7177210293293084,
            0.20858208136992767,
            -0.18780814963354397,
            -0.7187518511065876,
            0.2278216382302933,
            -0.16552210897416014,
            -0.7197348685721194,
            0.2446419094045724,
            -0.1412440722497938,
            -0.7206224455893858,
            0.258795846618741,
            -0.1152233345533716,
            -0.7213691019695203,
            0.2700616420772024,
            -0.08774834670788455,
            -0.7219346850212918,
            0.27825254084201884,
            -0.059144403357326826,
            -0.7222875860370874,
            0.28322653071799514,
            -0.02976830791806549,
            -0.7224075469124596,
            0.2848946348863373,
            -3.228163271359527e-16,
            -0.7525027461450711,
            0.2517489811450399,
            0,
            -0.7523982044824611,
            0.2502943360053233,
            0.026306994777169773,
            -0.7520903629514408,
            0.24595459524937438,
            0.05227926309314896,
            -0.7515960636641925,
            0.2388010068028709,
            0.07759115059050099,
            -0.7509417697296666,
            0.2289480718984327,
            0.1019342490552634,
            -0.7501614340047495,
            0.21654784941447303,
            0.1250239591518805,
            -0.7492939931802822,
            0.20178314639196285,
            0.1466040372884925,
            -0.7483808102370149,
            0.18486041097030248,
            0.16644906166822113,
            -0.7474633276094005,
            0.16600302579851928,
            0.18436503795134887,
            -0.7465810982326293,
            0.1454454928339829,
            0.20018854675071368,
            -0.745770263400269,
            0.12342877305593945,
            0.21378490604877554,
            -0.7450624669009186,
            0.10019684764027505,
            0.22504580442933556,
            -0.744484143534875,
            0.07599442503786946,
            0.23388679085614972,
            -0.7440560961191971,
            0.05106563337546053,
            0.24024491633777964,
            -0.7437932723914841,
            0.02565349859662968,
            0.24407673517422243,
            -0.7437046644575798,
            6.95039248897795e-17,
            0.24535680063421225,
            -0.7437932723914841,
            -0.02565349859662965,
            0.24407673517422243,
            -0.7440560961191971,
            -0.05106563337546056,
            0.24024491633777964,
            -0.744484143534875,
            -0.07599442503786943,
            0.23388679085614972,
            -0.7450624669009186,
            -0.10019684764027498,
            0.22504580442933556,
            -0.745770263400269,
            -0.12342877305593938,
            0.2137849060487756,
            -0.7465810982326293,
            -0.14544549283398286,
            0.20018854675071368,
            -0.7474633276094005,
            -0.1660030257985192,
            0.18436503795134893,
            -0.7483808102370149,
            -0.18486041097030245,
            0.16644906166822118,
            -0.7492939931802822,
            -0.20178314639196282,
            0.14660403728849253,
            -0.7501614340047495,
            -0.21654784941447303,
            0.1250239591518805,
            -0.7509417697296666,
            -0.2289480718984327,
            0.10193424905526335,
            -0.7515960636641925,
            -0.2388010068028709,
            0.07759115059050102,
            -0.7520903629514408,
            -0.24595459524937438,
            0.05227926309314896,
            -0.7523982044824611,
            -0.2502943360053233,
            0.02630699477716973,
            -0.7525027461450711,
            -0.2517489811450399,
            1.4262936451204713e-16,
            -0.7523982044824611,
            -0.2502943360053233,
            -0.026306994777169673,
            -0.7520903629514408,
            -0.24595459524937438,
            -0.0522792630931489,
            -0.7515960636641925,
            -0.2388010068028709,
            -0.07759115059050097,
            -0.7509417697296666,
            -0.2289480718984327,
            -0.1019342490552634,
            -0.7501614340047495,
            -0.21654784941447303,
            -0.12502395915188044,
            -0.7492939931802822,
            -0.20178314639196285,
            -0.14660403728849247,
            -0.7483808102370149,
            -0.18486041097030248,
            -0.16644906166822113,
            -0.7474633276094005,
            -0.16600302579851933,
            -0.18436503795134881,
            -0.7465810982326293,
            -0.14544549283398292,
            -0.20018854675071365,
            -0.745770263400269,
            -0.12342877305593954,
            -0.2137849060487755,
            -0.7450624669009186,
            -0.10019684764027519,
            -0.22504580442933547,
            -0.744484143534875,
            -0.07599442503786949,
            -0.23388679085614972,
            -0.7440560961191971,
            -0.05106563337546067,
            -0.24024491633777958,
            -0.7437932723914841,
            -0.02565349859662987,
            -0.24407673517422243,
            -0.7437046644575798,
            -4.5071313081858493e-17,
            -0.24535680063421225,
            -0.7437932723914841,
            0.025653498596629565,
            -0.24407673517422243,
            -0.7440560961191987,
            0.05106563337546081,
            -0.24024491633778067,
            -0.744484143534875,
            0.0759944250378694,
            -0.23388679085614972,
            -0.7450624669009186,
            0.1001968476402749,
            -0.2250458044293356,
            -0.745770263400269,
            0.12342877305593945,
            -0.21378490604877554,
            -0.7465810982326293,
            0.14544549283398284,
            -0.20018854675071374,
            -0.7474633276094005,
            0.16600302579851933,
            -0.18436503795134881,
            -0.7483808102370149,
            0.18486041097030248,
            -0.1664490616682211,
            -0.7492939931802822,
            0.20178314639196282,
            -0.14660403728849256,
            -0.7501614340047495,
            0.21654784941447303,
            -0.12502395915188044,
            -0.7509417697296666,
            0.2289480718984327,
            -0.1019342490552634,
            -0.7515960636641925,
            0.2388010068028709,
            -0.07759115059050105,
            -0.7520903629514408,
            0.24595459524937438,
            -0.05227926309314888,
            -0.7523982044824611,
            0.2502943360053233,
            -0.026306994777169763,
            -0.7525027461450711,
            0.2517489811450399,
            -2.8525872902409426e-16,
            -0.7789335507628712,
            0.21531328592278662,
            0,
            -0.7788498047564907,
            0.21408569130520153,
            0.022501312865956885,
            -0.7786029558406818,
            0.2104214759112335,
            0.044726465421223174,
            -0.7782058329072447,
            0.20437551903362586,
            0.06640563156184827,
            -0.777678738507168,
            0.19603664152447375,
            0.08728113617824222,
            -0.7770479900169512,
            0.1855239950084756,
            0.10711232845927816,
            -0.7763441564983827,
            0.17298263715207565,
            0.12567924249750312,
            -0.7756001919234277,
            0.1585787604630787,
            0.14278495726069446,
            -0.7748496408173162,
            0.1424950023040956,
            0.15825673285954323,
            -0.7741250440203902,
            0.1249261689836995,
            0.17194612038289067,
            -0.7734566159929659,
            0.10607558807952391,
            0.18372830799648293,
            -0.7728712139852689,
            0.0861521875486773,
            0.19350098138662206,
            -0.7723915812083154,
            0.06536830484100895,
            0.20118295566222663,
            -0.7720358232836453,
            0.04393816081272597,
            0.206712794314657,
            -0.7718170683866804,
            0.022076890486376333,
            0.21004758210334376,
            -0.7717432634790555,
            5.981731819696925e-17,
            0.21116197162392486,
            -0.7718170683866804,
            -0.022076890486376306,
            0.2100475821033438,
            -0.7720358232836453,
            -0.04393816081272599,
            0.206712794314657,
            -0.7723915812083154,
            -0.06536830484100892,
            0.20118295566222666,
            -0.7728712139852689,
            -0.08615218754867723,
            0.19350098138662206,
            -0.7734566159929659,
            -0.10607558807952386,
            0.18372830799648296,
            -0.7741250440203902,
            -0.12492616898369947,
            0.17194612038289067,
            -0.7748496408173162,
            -0.1424950023040955,
            0.15825673285954328,
            -0.7756001919234277,
            -0.15857876046307867,
            0.1427849572606945,
            -0.7763441564983827,
            -0.17298263715207565,
            0.12567924249750312,
            -0.7770479900169512,
            -0.1855239950084756,
            0.10711232845927816,
            -0.777678738507168,
            -0.19603664152447378,
            0.08728113617824221,
            -0.7782058329072447,
            -0.20437551903362586,
            0.0664056315618483,
            -0.7786029558406818,
            -0.2104214759112335,
            0.044726465421223174,
            -0.7788498047564907,
            -0.21408569130520155,
            0.02250131286595685,
            -0.7789335507628712,
            -0.21531328592278662,
            1.2198657965759486e-16,
            -0.7788498047564907,
            -0.21408569130520155,
            -0.0225013128659568,
            -0.7786029558406818,
            -0.2104214759112335,
            -0.04472646542122312,
            -0.7782058329072447,
            -0.20437551903362586,
            -0.06640563156184824,
            -0.777678738507168,
            -0.19603664152447375,
            -0.08728113617824224,
            -0.7770479900169512,
            -0.18552399500847563,
            -0.10711232845927812,
            -0.7763441564983827,
            -0.17298263715207565,
            -0.1256792424975031,
            -0.7756001919234277,
            -0.1585787604630787,
            -0.14278495726069446,
            -0.7748496408173162,
            -0.14249500230409565,
            -0.1582567328595432,
            -0.7741250440203902,
            -0.12492616898369951,
            -0.17194612038289064,
            -0.7734566159929659,
            -0.10607558807952398,
            -0.1837283079964829,
            -0.7728712139852689,
            -0.08615218754867741,
            -0.19350098138662197,
            -0.7723915812083154,
            -0.06536830484100896,
            -0.20118295566222663,
            -0.7720358232836453,
            -0.043938160812726085,
            -0.206712794314657,
            -0.7718170683866804,
            -0.022076890486376496,
            -0.21004758210334376,
            -0.7717432634790555,
            -3.878982489763257e-17,
            -0.21116197162392486,
            -0.7718170683866804,
            0.022076890486376233,
            -0.2100475821033438,
            -0.7720358232836453,
            0.04393816081272601,
            -0.206712794314657,
            -0.7723915812083154,
            0.06536830484100889,
            -0.20118295566222666,
            -0.7728712139852689,
            0.08615218754867716,
            -0.19350098138662208,
            -0.7734566159929659,
            0.10607558807952391,
            -0.18372830799648293,
            -0.7741250440203902,
            0.12492616898369945,
            -0.1719461203828907,
            -0.7748496408173162,
            0.14249500230409565,
            -0.1582567328595432,
            -0.7756001919234277,
            0.1585787604630787,
            -0.14278495726069443,
            -0.7763441564983827,
            0.17298263715207565,
            -0.12567924249750315,
            -0.7770479900169512,
            0.18552399500847563,
            -0.10711232845927811,
            -0.777678738507168,
            0.19603664152447378,
            -0.08728113617824222,
            -0.7782058329072447,
            0.20437551903362586,
            -0.06640563156184831,
            -0.7786029558406818,
            0.2104214759112335,
            -0.0447264654212231,
            -0.7788498047564907,
            0.21408569130520153,
            -0.022501312865956875,
            -0.7789335507628712,
            0.21531328592278662,
            -2.439731593151897e-16,
            -0.8012581095893994,
            0.17598024849002553,
            0,
            -0.8011979078471512,
            0.174989553565736,
            0.018392143207008813,
            -0.8010202912976974,
            0.17203108812077242,
            0.03656633659130397,
            -0.8007340266264283,
            0.16714524561141447,
            0.054308782430835305,
            -0.8003530839819873,
            0.16039784956542258,
            0.07141372368832945,
            -0.7998957528371511,
            0.15187806912297536,
            0.0876868440921504,
            -0.7993835428466478,
            0.1416957973119702,
            0.10294802278677406,
            -0.7988399758194287,
            0.12997872459737508,
            0.11703336930015167,
            -0.7982893693558484,
            0.1168693347477698,
            0.12979654577063537,
            -0.7977556942304423,
            0.10252201666760127,
            0.1411094501915307,
            -0.7972615623276287,
            0.08710043550344698,
            0.1508623796533462,
            -0.7968273758649531,
            0.07077525031129082,
            0.15896381488143496,
            -0.7964706462878856,
            0.05372221279252808,
            0.16533996989218944,
            -0.7962054751056351,
            0.0361206374882887,
            0.1699342387009593,
            -0.7960421797428521,
            0.018152200414428686,
            0.17270665038896477,
            -0.7959870446081219,
            4.9186344508629934e-17,
            0.17363341915823544,
            -0.7960421797428521,
            -0.018152200414428665,
            0.1727066503889648,
            -0.7962054751056351,
            -0.03612063748828871,
            0.1699342387009593,
            -0.7964706462878856,
            -0.05372221279252806,
            0.16533996989218946,
            -0.7968273758649531,
            -0.07077525031129078,
            0.158963814881435,
            -0.7972615623276287,
            -0.08710043550344693,
            0.15086237965334623,
            -0.7977556942304423,
            -0.10252201666760125,
            0.1411094501915307,
            -0.7982893693558484,
            -0.11686933474776975,
            0.12979654577063543,
            -0.7988399758194287,
            -0.12997872459737508,
            0.11703336930015172,
            -0.7993835428466478,
            -0.14169579731197018,
            0.10294802278677408,
            -0.7998957528371511,
            -0.15187806912297536,
            0.0876868440921504,
            -0.8003530839819873,
            -0.1603978495654226,
            0.07141372368832943,
            -0.8007340266264283,
            -0.16714524561141447,
            0.05430878243083532,
            -0.8010202912976974,
            -0.17203108812077242,
            0.03656633659130397,
            -0.8011979078471512,
            -0.17498955356573603,
            0.01839214320700878,
            -0.8012581095893994,
            -0.17598024849002553,
            9.970229430379966e-17,
            -0.8011979078471512,
            -0.17498955356573603,
            -0.01839214320700874,
            -0.8010202912976974,
            -0.17203108812077242,
            -0.03656633659130392,
            -0.8007340266264283,
            -0.16714524561141447,
            -0.054308782430835284,
            -0.8003530839819873,
            -0.16039784956542258,
            -0.07141372368832945,
            -0.7998957528371511,
            -0.15187806912297538,
            -0.08768684409215036,
            -0.7993835428466478,
            -0.1416957973119702,
            -0.10294802278677403,
            -0.7988399758194287,
            -0.12997872459737508,
            -0.11703336930015167,
            -0.7982893693558484,
            -0.11686933474776985,
            -0.12979654577063535,
            -0.7977556942304423,
            -0.10252201666760129,
            -0.14110945019153068,
            -0.7972615623276287,
            -0.08710043550344705,
            -0.15086237965334617,
            -0.7968273758649531,
            -0.07077525031129094,
            -0.1589638148814349,
            -0.7964706462878856,
            -0.0537222127925281,
            -0.16533996989218944,
            -0.7962054751056351,
            -0.03612063748828879,
            -0.16993423870095928,
            -0.7960421797428521,
            -0.01815220041442882,
            -0.17270665038896477,
            -0.7959870446081219,
            -3.189594164957156e-17,
            -0.17363341915823544,
            -0.7960421797428521,
            0.018152200414428603,
            -0.1727066503889648,
            -0.7962054751056351,
            0.036120637488288726,
            -0.16993423870095928,
            -0.7964706462878856,
            0.05372221279252804,
            -0.16533996989218946,
            -0.7968273758649531,
            0.07077525031129073,
            -0.15896381488143502,
            -0.7972615623276287,
            0.08710043550344698,
            -0.1508623796533462,
            -0.7977556942304423,
            0.10252201666760122,
            -0.14110945019153073,
            -0.7982893693558484,
            0.11686933474776985,
            -0.12979654577063535,
            -0.7988399758194287,
            0.12997872459737508,
            -0.11703336930015165,
            -0.7993835428466478,
            0.14169579731197018,
            -0.1029480227867741,
            -0.7998957528371511,
            0.15187806912297538,
            -0.08768684409215034,
            -0.8003530839819873,
            0.1603978495654226,
            -0.07141372368832945,
            -0.8007340266264283,
            0.16714524561141447,
            -0.054308782430835346,
            -0.8010202912976974,
            0.17203108812077242,
            -0.036566336591303907,
            -0.8011979078471512,
            0.174989553565736,
            -0.018392143207008806,
            -0.8012581095893994,
            0.17598024849002553,
            -1.9940458860759932e-16,
            -0.8190798661667286,
            0.1342177846348231,
            0,
            -0.8190428075162086,
            0.13347055044401132,
            0.014028320134906704,
            -0.8189333815036444,
            0.1312382483455079,
            0.027895550827917632,
            -0.8187567374427713,
            0.12754884641257455,
            0.04144313243123135,
            -0.8185211316625651,
            0.12244819893269694,
            0.05451745062920277,
            -0.8182374692655431,
            0.11599897015514303,
            0.06697203664479118,
            -0.8179187187353447,
            0.10827924305171073,
            0.07866947497729683,
            -0.8175792451979693,
            0.09938090861138002,
            0.08948297203968061,
            -0.8172341091706341,
            0.08940793473436393,
            0.09929757124101626,
            -0.8168983734340155,
            0.07847460636487356,
            0.10801102941670405,
            -0.8165864528523541,
            0.06670381276906674,
            0.1155343927745852,
            -0.8163115324573058,
            0.05422543718713363,
            0.12179232600333526,
            -0.8160850696730841,
            0.041174881737427116,
            0.1267232556684174,
            -0.8159163885145098,
            0.02769173906300432,
            0.13027938937963085,
            -0.8158123676982392,
            0.013918603555611836,
            0.13242666692192934,
            -0.8157772211018117,
            3.7716821068179424e-17,
            0.1331446902035652,
            -0.8158123676982392,
            -0.013918603555611819,
            0.13242666692192936,
            -0.8159163885145098,
            -0.02769173906300433,
            0.13027938937963085,
            -0.8160850696730841,
            -0.0411748817374271,
            0.12672325566841744,
            -0.8163115324573058,
            -0.05422543718713359,
            0.12179232600333528,
            -0.8165864528523541,
            -0.06670381276906671,
            0.11553439277458523,
            -0.8168983734340155,
            -0.07847460636487355,
            0.10801102941670405,
            -0.8172341091706341,
            -0.08940793473436388,
            0.09929757124101629,
            -0.8175792451979693,
            -0.09938090861138,
            0.08948297203968063,
            -0.8179187187353447,
            -0.10827924305171073,
            0.07866947497729684,
            -0.8182374692655431,
            -0.11599897015514303,
            0.06697203664479118,
            -0.8185211316625651,
            -0.12244819893269697,
            0.05451745062920274,
            -0.8187567374427713,
            -0.12754884641257455,
            0.041443132431231364,
            -0.8189333815036444,
            -0.1312382483455079,
            0.027895550827917632,
            -0.8190428075162086,
            -0.13347055044401135,
            0.01402832013490668,
            -0.8190798661667286,
            -0.1342177846348231,
            7.604160796047296e-17,
            -0.8190428075162086,
            -0.13347055044401135,
            -0.01402832013490665,
            -0.8189333815036444,
            -0.1312382483455079,
            -0.027895550827917594,
            -0.8187567374427713,
            -0.12754884641257458,
            -0.041443132431231336,
            -0.8185211316625651,
            -0.12244819893269694,
            -0.05451745062920277,
            -0.8182374692655431,
            -0.11599897015514304,
            -0.06697203664479115,
            -0.8179187187353447,
            -0.10827924305171073,
            -0.0786694749772968,
            -0.8175792451979693,
            -0.09938090861138002,
            -0.08948297203968061,
            -0.8172341091706341,
            -0.08940793473436395,
            -0.09929757124101624,
            -0.8168983734340155,
            -0.07847460636487358,
            -0.10801102941670405,
            -0.8165864528523541,
            -0.0667038127690668,
            -0.1155343927745852,
            -0.8163115324573058,
            -0.0542254371871337,
            -0.12179232600333523,
            -0.8160850696730841,
            -0.04117488173742713,
            -0.1267232556684174,
            -0.8159163885145098,
            -0.02769173906300439,
            -0.13027938937963085,
            -0.8158123676982392,
            -0.013918603555611938,
            -0.13242666692192934,
            -0.8157772211018117,
            -2.445828280218931e-17,
            -0.1331446902035652,
            -0.8158123676982392,
            0.013918603555611773,
            -0.13242666692192936,
            -0.8159163885145098,
            0.027691739063004345,
            -0.13027938937963085,
            -0.8160850696730841,
            0.04117488173742708,
            -0.12672325566841744,
            -0.8163115324573058,
            0.05422543718713354,
            -0.1217923260033353,
            -0.8165864528523541,
            0.06670381276906674,
            -0.1155343927745852,
            -0.8168983734340155,
            0.07847460636487354,
            -0.10801102941670407,
            -0.8172341091706341,
            0.08940793473436395,
            -0.09929757124101624,
            -0.8175792451979693,
            0.09938090861138002,
            -0.0894829720396806,
            -0.8179187187353447,
            0.10827924305171073,
            -0.07866947497729684,
            -0.8182374692655431,
            0.11599897015514304,
            -0.06697203664479114,
            -0.8185211316625651,
            0.12244819893269697,
            -0.05451745062920277,
            -0.8187567374427713,
            0.12754884641257455,
            -0.04144313243123138,
            -0.8189333815036444,
            0.1312382483455079,
            -0.027895550827917583,
            -0.8190428075162086,
            0.13347055044401132,
            -0.014028320134906697,
            -0.8190798661667286,
            0.1342177846348231,
            -1.5208321592094591e-16,
            -0.8320656101586179,
            0.09056304114115588,
            0,
            -0.8320480445091383,
            0.09006321408552705,
            0.00946602524202822,
            -0.8319961437530132,
            0.08856957852953426,
            0.018826045080800814,
            -0.8319122565928107,
            0.08609956948293877,
            0.027975445962180476,
            -0.8318001672980326,
            0.08268191114852591,
            0.036812358599455385,
            -0.8316649094293376,
            0.07835613352954435,
            0.045238934785940675,
            -0.8315125221701101,
            0.07317192930033094,
            0.053162518492891976,
            -0.831349764156053,
            0.06718838014783751,
            0.060496689214933605,
            -0.8311838012035202,
            0.06047308461935919,
            0.0671621645885851,
            -0.8310218844398519,
            0.053101219386404726,
            0.07308755831842084,
            -0.8308710342535943,
            0.04515456309706511,
            0.07820999747769142,
            -0.8307377435494325,
            0.036720507240480545,
            0.0824756096185353,
            -0.8306277113954742,
            0.02789107242233089,
            0.08583989442837048,
            -0.8305456156450801,
            0.01876194190063974,
            0.0882679967780352,
            -0.8304949307793936,
            0.009431517833863862,
            0.08973489802788072,
            -0.830477795221485,
            2.5558815507833608e-17,
            0.0902255406575506,
            -0.8304949307793936,
            -0.009431517833863852,
            0.08973489802788073,
            -0.8305456156450801,
            -0.01876194190063975,
            0.0882679967780352,
            -0.8306277113954742,
            -0.027891072422330875,
            0.08583989442837049,
            -0.8307377435494325,
            -0.03672050724048052,
            0.0824756096185353,
            -0.8308710342535943,
            -0.04515456309706507,
            0.07820999747769143,
            -0.8310218844398519,
            -0.05310121938640471,
            0.07308755831842084,
            -0.8311838012035202,
            -0.06047308461935916,
            0.06716216458858511,
            -0.831349764156053,
            -0.0671883801478375,
            0.06049668921493362,
            -0.8315125221701101,
            -0.07317192930033094,
            0.05316251849289198,
            -0.8316649094293376,
            -0.07835613352954435,
            0.045238934785940675,
            -0.8318001672980326,
            -0.08268191114852592,
            0.03681235859945538,
            -0.8319122565928107,
            -0.08609956948293877,
            0.027975445962180486,
            -0.8319961437530132,
            -0.08856957852953426,
            0.018826045080800814,
            -0.8320480445091383,
            -0.09006321408552706,
            0.009466025242028204,
            -0.8320656101586179,
            -0.09056304114115588,
            5.130884322745129e-17,
            -0.8320480445091383,
            -0.09006321408552706,
            -0.009466025242028183,
            -0.8319961437530132,
            -0.08856957852953426,
            -0.01882604508080079,
            -0.8319122565928107,
            -0.08609956948293877,
            -0.027975445962180462,
            -0.8318001672980326,
            -0.08268191114852591,
            -0.036812358599455385,
            -0.8316649094293376,
            -0.07835613352954436,
            -0.04523893478594066,
            -0.8315125221701101,
            -0.07317192930033094,
            -0.05316251849289196,
            -0.831349764156053,
            -0.06718838014783751,
            -0.060496689214933605,
            -0.8311838012035202,
            -0.0604730846193592,
            -0.06716216458858507,
            -0.8310218844398519,
            -0.05310121938640474,
            -0.07308755831842084,
            -0.8308710342535943,
            -0.045154563097065135,
            -0.0782099974776914,
            -0.8307377435494325,
            -0.03672050724048059,
            -0.08247560961853527,
            -0.8306277113954742,
            -0.027891072422330892,
            -0.08583989442837048,
            -0.8305456156450801,
            -0.018761941900639793,
            -0.08826799677803518,
            -0.8304949307793936,
            -0.009431517833863933,
            -0.08973489802788072,
            -0.830477795221485,
            -1.6574162935141305e-17,
            -0.0902255406575506,
            -0.8304949307793936,
            0.009431517833863819,
            -0.08973489802788073,
            -0.8305456156450801,
            0.018761941900639758,
            -0.08826799677803518,
            -0.8306277113954742,
            0.027891072422330864,
            -0.08583989442837049,
            -0.8307377435494325,
            0.03672050724048049,
            -0.08247560961853531,
            -0.8308710342535943,
            0.04515456309706511,
            -0.07820999747769142,
            -0.8310218844398519,
            0.05310121938640471,
            -0.07308755831842086,
            -0.8311838012035202,
            0.0604730846193592,
            -0.06716216458858507,
            -0.831349764156053,
            0.06718838014783751,
            -0.06049668921493359,
            -0.8315125221701101,
            0.07317192930033094,
            -0.05316251849289199,
            -0.8316649094293376,
            0.07835613352954436,
            -0.045238934785940654,
            -0.8318001672980326,
            0.08268191114852592,
            -0.036812358599455385,
            -0.8319122565928107,
            0.08609956948293877,
            -0.027975445962180493,
            -0.8319961437530132,
            0.08856957852953426,
            -0.018826045080800786,
            -0.8320480445091383,
            0.09006321408552705,
            -0.009466025242028216,
            -0.8320656101586179,
            0.09056304114115588,
            -1.0261768645490258e-16,
            -0.839962609967884,
            0.045611308254571395,
            0,
            -0.8399580455667368,
            0.04536096762572526,
            0.004767629813212961,
            -0.8399445537425653,
            0.044612735420957145,
            0.009482729647773056,
            -0.8399227295020677,
            0.04337494547818858,
            0.014093374108891906,
            -0.8398935345430569,
            0.04166137102372436,
            0.01854883744904394,
            -0.8398582538539319,
            0.039491052848233905,
            0.02280016999250958,
            -0.8398184379857114,
            0.03688806440958557,
            0.02680074756936488,
            -0.8397758337932988,
            0.03388121906109717,
            0.03050678666835296,
            -0.8397323069318483,
            0.03050372549118917,
            0.03387781927942896,
            -0.8396897596946964,
            0.026792797989325903,
            0.03687712275134459,
            -0.8396500478890624,
            0.022789228328151907,
            0.03947210132964703,
            -0.8396149003766735,
            0.018536925909810167,
            0.04163461726857148,
            -0.8395858446811976,
            0.014082432428520433,
            0.04334127044864025,
            -0.8395641417110626,
            0.009474416732174992,
            0.04457362622793695,
            -0.8395507321951653,
            0.004763154912025017,
            0.04531839178492652,
            -0.8395461969081699,
            1.2908233935796206e-17,
            0.0455675414783755,
            -0.8395507321951653,
            -0.0047631549120250105,
            0.045318391784926526,
            -0.8395641417110626,
            -0.009474416732174995,
            0.04457362622793695,
            -0.8395858446811976,
            -0.014082432428520428,
            0.04334127044864026,
            -0.8396149003766735,
            -0.018536925909810154,
            0.04163461726857149,
            -0.8396500478890624,
            -0.02278922832815189,
            0.039472101329647034,
            -0.8396897596946964,
            -0.0267927979893259,
            0.03687712275134459,
            -0.8397323069318483,
            -0.030503725491189158,
            0.03387781927942897,
            -0.8397758337932988,
            -0.033881219061097166,
            0.03050678666835297,
            -0.8398184379857114,
            -0.036888064409585565,
            0.02680074756936489,
            -0.8398582538539319,
            -0.039491052848233905,
            0.02280016999250958,
            -0.8398935345430569,
            -0.041661371023724365,
            0.018548837449043933,
            -0.8399227295020677,
            -0.04337494547818858,
            0.01409337410889191,
            -0.8399445537425653,
            -0.044612735420957145,
            0.009482729647773056,
            -0.8399580455667368,
            -0.045360967625725265,
            0.004767629813212953,
            -0.839962609967884,
            -0.045611308254571395,
            2.5841264108888662e-17,
            -0.8399580455667368,
            -0.045360967625725265,
            -0.004767629813212943,
            -0.8399445537425653,
            -0.044612735420957145,
            -0.009482729647773044,
            -0.8399227295020677,
            -0.043374945478188584,
            -0.014093374108891901,
            -0.8398935345430569,
            -0.04166137102372436,
            -0.018548837449043943,
            -0.8398582538539319,
            -0.03949105284823391,
            -0.02280016999250957,
            -0.8398184379857114,
            -0.03688806440958557,
            -0.026800747569364874,
            -0.8397758337932988,
            -0.03388121906109717,
            -0.03050678666835296,
            -0.8397323069318483,
            -0.030503725491189182,
            -0.033877819279428956,
            -0.8396897596946964,
            -0.02679279798932591,
            -0.03687712275134458,
            -0.8396500478890624,
            -0.02278922832815192,
            -0.03947210132964702,
            -0.8396149003766735,
            -0.01853692590981019,
            -0.04163461726857147,
            -0.8395858446811976,
            -0.014082432428520437,
            -0.04334127044864025,
            -0.8395641417110626,
            -0.009474416732175016,
            -0.044573626227936945,
            -0.8395507321951653,
            -0.004763154912025052,
            -0.04531839178492652,
            -0.8395461969081699,
            -8.37062157247602e-18,
            -0.0455675414783755,
            -0.8395507321951653,
            0.004763154912024994,
            -0.045318391784926526,
            -0.8395641417110626,
            0.009474416732175,
            -0.044573626227936945,
            -0.8395858446811976,
            0.014082432428520421,
            -0.04334127044864026,
            -0.8396149003766735,
            0.01853692590981014,
            -0.0416346172685715,
            -0.8396500478890624,
            0.022789228328151907,
            -0.03947210132964703,
            -0.8396897596946964,
            0.026792797989325896,
            -0.03687712275134459,
            -0.8397323069318483,
            0.030503725491189182,
            -0.033877819279428956,
            -0.8397758337932988,
            0.03388121906109717,
            -0.030506786668352954,
            -0.8398184379857114,
            0.036888064409585565,
            -0.02680074756936489,
            -0.8398582538539319,
            0.03949105284823391,
            -0.022800169992509566,
            -0.8398935345430569,
            0.041661371023724365,
            -0.01854883744904394,
            -0.8399227295020677,
            0.04337494547818858,
            -0.014093374108891917,
            -0.8399445537425653,
            0.044612735420957145,
            -0.00948272964777304,
            -0.8399580455667368,
            0.04536096762572526,
            -0.004767629813212959,
            -0.839962609967884,
            0.045611308254571395,
            -5.1682528217777324e-17,
            -0.8426128686451457,
            2.4736471905227407e-16,
            0,
            -0.8426128686451457,
            2.4600962923910806e-16,
            2.5856653949169048e-17,
            -0.8426128686451457,
            2.4195920644717385e-16,
            5.1430016986818305e-17,
            -0.8426128686451457,
            2.3525782795618514e-16,
            7.643990199593703e-17,
            -0.8426128686451457,
            2.2597891547124314e-16,
            1.006122954427104e-16,
            -0.8426128686451457,
            2.1422413069926993e-16,
            1.23682359526137e-16,
            -0.8426128686451457,
            2.001222615220741e-16,
            1.4539733379639766e-16,
            -0.8426128686451457,
            1.838278109693669e-16,
            1.6551930445123678e-16,
            -0.8426128686451457,
            1.6551930445123678e-16,
            1.838278109693669e-16,
            -0.8426128686451457,
            1.4539733379639766e-16,
            2.001222615220741e-16,
            -0.8426128686451457,
            1.2368235952613706e-16,
            2.1422413069926988e-16,
            -0.8426128686451457,
            1.0061229544271044e-16,
            2.2597891547124314e-16,
            -0.8426128686451457,
            7.643990199593704e-17,
            2.3525782795618514e-16,
            -0.8426128686451457,
            5.1430016986818286e-17,
            2.4195920644717385e-16,
            -0.8426128686451457,
            2.5856653949169048e-17,
            2.4600962923910806e-16,
            -0.8426128686451457,
            7.007272188482116e-32,
            2.4736471905227407e-16,
            -0.8426128686451457,
            -2.585665394916902e-17,
            2.4600962923910806e-16,
            -0.8426128686451457,
            -5.1430016986818317e-17,
            2.4195920644717385e-16,
            -0.8426128686451457,
            -7.643990199593701e-17,
            2.352578279561852e-16,
            -0.8426128686451457,
            -1.0061229544271037e-16,
            2.2597891547124314e-16,
            -0.8426128686451457,
            -1.2368235952613699e-16,
            2.1422413069926993e-16,
            -0.8426128686451457,
            -1.4539733379639764e-16,
            2.001222615220741e-16,
            -0.8426128686451457,
            -1.655193044512367e-16,
            1.8382781096936694e-16,
            -0.8426128686451457,
            -1.8382781096936685e-16,
            1.6551930445123683e-16,
            -0.8426128686451457,
            -2.0012226152207406e-16,
            1.4539733379639769e-16,
            -0.8426128686451457,
            -2.1422413069926993e-16,
            1.23682359526137e-16,
            -0.8426128686451457,
            -2.2597891547124314e-16,
            1.0061229544271036e-16,
            -0.8426128686451457,
            -2.3525782795618514e-16,
            7.643990199593704e-17,
            -0.8426128686451457,
            -2.4195920644717385e-16,
            5.1430016986818305e-17,
            -0.8426128686451457,
            -2.4600962923910806e-16,
            2.585665394916901e-17,
            -0.8426128686451457,
            -2.4736471905227407e-16,
            1.4014544376964232e-31,
            -0.8426128686451457,
            -2.4600962923910806e-16,
            -2.5856653949168952e-17,
            -0.8426128686451457,
            -2.4195920644717385e-16,
            -5.143001698681824e-17,
            -0.8426128686451457,
            -2.352578279561852e-16,
            -7.6439901995937e-17,
            -0.8426128686451457,
            -2.2597891547124314e-16,
            -1.006122954427104e-16,
            -0.8426128686451457,
            -2.1422413069926993e-16,
            -1.2368235952613699e-16,
            -0.8426128686451457,
            -2.001222615220741e-16,
            -1.4539733379639764e-16,
            -0.8426128686451457,
            -1.838278109693669e-16,
            -1.6551930445123678e-16,
            -0.8426128686451457,
            -1.6551930445123683e-16,
            -1.8382781096936682e-16,
            -0.8426128686451457,
            -1.4539733379639769e-16,
            -2.0012226152207406e-16,
            -0.8426128686451457,
            -1.2368235952613716e-16,
            -2.1422413069926985e-16,
            -0.8426128686451457,
            -1.0061229544271059e-16,
            -2.2597891547124305e-16,
            -0.8426128686451457,
            -7.643990199593707e-17,
            -2.3525782795618514e-16,
            -0.8426128686451457,
            -5.143001698681842e-17,
            -2.419592064471738e-16,
            -0.8426128686451457,
            -2.5856653949169242e-17,
            -2.4600962923910806e-16,
            -0.8426128686451457,
            -4.5440161711402765e-32,
            -2.4736471905227407e-16,
            -0.8426128686451457,
            2.5856653949168934e-17,
            -2.4600962923910806e-16,
            -0.8426128686451457,
            5.1430016986818335e-17,
            -2.419592064471738e-16,
            -0.8426128686451457,
            7.643990199593698e-17,
            -2.352578279561852e-16,
            -0.8426128686451457,
            1.0061229544271028e-16,
            -2.259789154712432e-16,
            -0.8426128686451457,
            1.2368235952613706e-16,
            -2.1422413069926988e-16,
            -0.8426128686451457,
            1.453973337963976e-16,
            -2.001222615220741e-16,
            -0.8426128686451457,
            1.6551930445123683e-16,
            -1.8382781096936682e-16,
            -0.8426128686451457,
            1.838278109693669e-16,
            -1.6551930445123675e-16,
            -0.8426128686451457,
            2.0012226152207406e-16,
            -1.453973337963977e-16,
            -0.8426128686451457,
            2.1422413069926993e-16,
            -1.2368235952613696e-16,
            -0.8426128686451457,
            2.2597891547124314e-16,
            -1.006122954427104e-16,
            -0.8426128686451457,
            2.3525782795618514e-16,
            -7.643990199593708e-17,
            -0.8426128686451457,
            2.4195920644717385e-16,
            -5.143001698681822e-17,
            -0.8426128686451457,
            2.4600962923910806e-16,
            -2.5856653949169036e-17,
            -0.8426128686451457,
            2.4736471905227407e-16,
            -2.8029088753928464e-31
          ],
          "indices": [
            0,
            61,
            1,
            1,
            61,
            62,
            1,
            62,
            2,
            2,
            62,
            63,
            2,
            63,
            3,
            3,
            63,
            64,
            3,
            64,
            4,
            4,
            64,
            65,
            4,
            65,
            5,
            5,
            65,
            66,
            5,
            66,
            6,
            6,
            66,
            67,
            6,
            67,
            7,
            7,
            67,
            68,
            7,
            68,
            8,
            8,
            68,
            69,
            8,
            69,
            9,
            9,
            69,
            70,
            9,
            70,
            10,
            10,
            70,
            71,
            10,
            71,
            11,
            11,
            71,
            72,
            11,
            72,
            12,
            12,
            72,
            73,
            12,
            73,
            13,
            13,
            73,
            74,
            13,
            74,
            14,
            14,
            74,
            75,
            14,
            75,
            15,
            15,
            75,
            76,
            15,
            76,
            16,
            16,
            76,
            77,
            16,
            77,
            17,
            17,
            77,
            78,
            17,
            78,
            18,
            18,
            78,
            79,
            18,
            79,
            19,
            19,
            79,
            80,
            19,
            80,
            20,
            20,
            80,
            81,
            20,
            81,
            21,
            21,
            81,
            82,
            21,
            82,
            22,
            22,
            82,
            83,
            22,
            83,
            23,
            23,
            83,
            84,
            23,
            84,
            24,
            24,
            84,
            85,
            24,
            85,
            25,
            25,
            85,
            86,
            25,
            86,
            26,
            26,
            86,
            87,
            26,
            87,
            27,
            27,
            87,
            88,
            27,
            88,
            28,
            28,
            88,
            89,
            28,
            89,
            29,
            29,
            89,
            90,
            29,
            90,
            30,
            30,
            90,
            91,
            30,
            91,
            31,
            31,
            91,
            92,
            31,
            92,
            32,
            32,
            92,
            93,
            32,
            93,
            33,
            33,
            93,
            94,
            33,
            94,
            34,
            34,
            94,
            95,
            34,
            95,
            35,
            35,
            95,
            96,
            35,
            96,
            36,
            36,
            96,
            97,
            36,
            97,
            37,
            37,
            97,
            98,
            37,
            98,
            38,
            38,
            98,
            99,
            38,
            99,
            39,
            39,
            99,
            100,
            39,
            100,
            40,
            40,
            100,
            101,
            40,
            101,
            41,
            41,
            101,
            102,
            41,
            102,
            42,
            42,
            102,
            103,
            42,
            103,
            43,
            43,
            103,
            104,
            43,
            104,
            44,
            44,
            104,
            105,
            44,
            105,
            45,
            45,
            105,
            106,
            45,
            106,
            46,
            46,
            106,
            107,
            46,
            107,
            47,
            47,
            107,
            108,
            47,
            108,
            48,
            48,
            108,
            109,
            48,
            109,
            49,
            49,
            109,
            110,
            49,
            110,
            50,
            50,
            110,
            111,
            50,
            111,
            51,
            51,
            111,
            112,
            51,
            112,
            52,
            52,
            112,
            113,
            52,
            113,
            53,
            53,
            113,
            114,
            53,
            114,
            54,
            54,
            114,
            115,
            54,
            115,
            55,
            55,
            115,
            116,
            55,
            116,
            56,
            56,
            116,
            117,
            56,
            117,
            57,
            57,
            117,
            118,
            57,
            118,
            58,
            58,
            118,
            119,
            58,
            119,
            59,
            59,
            119,
            120,
            59,
            120,
            60,
            60,
            120,
            121,
            61,
            122,
            62,
            62,
            122,
            123,
            62,
            123,
            63,
            63,
            123,
            124,
            63,
            124,
            64,
            64,
            124,
            125,
            64,
            125,
            65,
            65,
            125,
            126,
            65,
            126,
            66,
            66,
            126,
            127,
            66,
            127,
            67,
            67,
            127,
            128,
            67,
            128,
            68,
            68,
            128,
            129,
            68,
            129,
            69,
            69,
            129,
            130,
            69,
            130,
            70,
            70,
            130,
            131,
            70,
            131,
            71,
            71,
            131,
            132,
            71,
            132,
            72,
            72,
            132,
            133,
            72,
            133,
            73,
            73,
            133,
            134,
            73,
            134,
            74,
            74,
            134,
            135,
            74,
            135,
            75,
            75,
            135,
            136,
            75,
            136,
            76,
            76,
            136,
            137,
            76,
            137,
            77,
            77,
            137,
            138,
            77,
            138,
            78,
            78,
            138,
            139,
            78,
            139,
            79,
            79,
            139,
            140,
            79,
            140,
            80,
            80,
            140,
            141,
            80,
            141,
            81,
            81,
            141,
            142,
            81,
            142,
            82,
            82,
            142,
            143,
            82,
            143,
            83,
            83,
            143,
            144,
            83,
            144,
            84,
            84,
            144,
            145,
            84,
            145,
            85,
            85,
            145,
            146,
            85,
            146,
            86,
            86,
            146,
            147,
            86,
            147,
            87,
            87,
            147,
            148,
            87,
            148,
            88,
            88,
            148,
            149,
            88,
            149,
            89,
            89,
            149,
            150,
            89,
            150,
            90,
            90,
            150,
            151,
            90,
            151,
            91,
            91,
            151,
            152,
            91,
            152,
            92,
            92,
            152,
            153,
            92,
            153,
            93,
            93,
            153,
            154,
            93,
            154,
            94,
            94,
            154,
            155,
            94,
            155,
            95,
            95,
            155,
            156,
            95,
            156,
            96,
            96,
            156,
            157,
            96,
            157,
            97,
            97,
            157,
            158,
            97,
            158,
            98,
            98,
            158,
            159,
            98,
            159,
            99,
            99,
            159,
            160,
            99,
            160,
            100,
            100,
            160,
            161,
            100,
            161,
            101,
            101,
            161,
            162,
            101,
            162,
            102,
            102,
            162,
            163,
            102,
            163,
            103,
            103,
            163,
            164,
            103,
            164,
            104,
            104,
            164,
            165,
            104,
            165,
            105,
            105,
            165,
            166,
            105,
            166,
            106,
            106,
            166,
            167,
            106,
            167,
            107,
            107,
            167,
            168,
            107,
            168,
            108,
            108,
            168,
            169,
            108,
            169,
            109,
            109,
            169,
            170,
            109,
            170,
            110,
            110,
            170,
            171,
            110,
            171,
            111,
            111,
            171,
            172,
            111,
            172,
            112,
            112,
            172,
            173,
            112,
            173,
            113,
            113,
            173,
            174,
            113,
            174,
            114,
            114,
            174,
            175,
            114,
            175,
            115,
            115,
            175,
            176,
            115,
            176,
            116,
            116,
            176,
            177,
            116,
            177,
            117,
            117,
            177,
            178,
            117,
            178,
            118,
            118,
            178,
            179,
            118,
            179,
            119,
            119,
            179,
            180,
            119,
            180,
            120,
            120,
            180,
            181,
            120,
            181,
            121,
            121,
            181,
            182,
            122,
            183,
            123,
            123,
            183,
            184,
            123,
            184,
            124,
            124,
            184,
            185,
            124,
            185,
            125,
            125,
            185,
            186,
            125,
            186,
            126,
            126,
            186,
            187,
            126,
            187,
            127,
            127,
            187,
            188,
            127,
            188,
            128,
            128,
            188,
            189,
            128,
            189,
            129,
            129,
            189,
            190,
            129,
            190,
            130,
            130,
            190,
            191,
            130,
            191,
            131,
            131,
            191,
            192,
            131,
            192,
            132,
            132,
            192,
            193,
            132,
            193,
            133,
            133,
            193,
            194,
            133,
            194,
            134,
            134,
            194,
            195,
            134,
            195,
            135,
            135,
            195,
            196,
            135,
            196,
            136,
            136,
            196,
            197,
            136,
            197,
            137,
            137,
            197,
            198,
            137,
            198,
            138,
            138,
            198,
            199,
            138,
            199,
            139,
            139,
            199,
            200,
            139,
            200,
            140,
            140,
            200,
            201,
            140,
            201,
            141,
            141,
            201,
            202,
            141,
            202,
            142,
            142,
            202,
            203,
            142,
            203,
            143,
            143,
            203,
            204,
            143,
            204,
            144,
            144,
            204,
            205,
            144,
            205,
            145,
            145,
            205,
            206,
            145,
            206,
            146,
            146,
            206,
            207,
            146,
            207,
            147,
            147,
            207,
            208,
            147,
            208,
            148,
            148,
            208,
            209,
            148,
            209,
            149,
            149,
            209,
            210,
            149,
            210,
            150,
            150,
            210,
            211,
            150,
            211,
            151,
            151,
            211,
            212,
            151,
            212,
            152,
            152,
            212,
            213,
            152,
            213,
            153,
            153,
            213,
            214,
            153,
            214,
            154,
            154,
            214,
            215,
            154,
            215,
            155,
            155,
            215,
            216,
            155,
            216,
            156,
            156,
            216,
            217,
            156,
            217,
            157,
            157,
            217,
            218,
            157,
            218,
            158,
            158,
            218,
            219,
            158,
            219,
            159,
            159,
            219,
            220,
            159,
            220,
            160,
            160,
            220,
            221,
            160,
            221,
            161,
            161,
            221,
            222,
            161,
            222,
            162,
            162,
            222,
            223,
            162,
            223,
            163,
            163,
            223,
            224,
            163,
            224,
            164,
            164,
            224,
            225,
            164,
            225,
            165,
            165,
            225,
            226,
            165,
            226,
            166,
            166,
            226,
            227,
            166,
            227,
            167,
            167,
            227,
            228,
            167,
            228,
            168,
            168,
            228,
            229,
            168,
            229,
            169,
            169,
            229,
            230,
            169,
            230,
            170,
            170,
            230,
            231,
            170,
            231,
            171,
            171,
            231,
            232,
            171,
            232,
            172,
            172,
            232,
            233,
            172,
            233,
            173,
            173,
            233,
            234,
            173,
            234,
            174,
            174,
            234,
            235,
            174,
            235,
            175,
            175,
            235,
            236,
            175,
            236,
            176,
            176,
            236,
            237,
            176,
            237,
            177,
            177,
            237,
            238,
            177,
            238,
            178,
            178,
            238,
            239,
            178,
            239,
            179,
            179,
            239,
            240,
            179,
            240,
            180,
            180,
            240,
            241,
            180,
            241,
            181,
            181,
            241,
            242,
            181,
            242,
            182,
            182,
            242,
            243,
            183,
            244,
            184,
            184,
            244,
            245,
            184,
            245,
            185,
            185,
            245,
            246,
            185,
            246,
            186,
            186,
            246,
            247,
            186,
            247,
            187,
            187,
            247,
            248,
            187,
            248,
            188,
            188,
            248,
            249,
            188,
            249,
            189,
            189,
            249,
            250,
            189,
            250,
            190,
            190,
            250,
            251,
            190,
            251,
            191,
            191,
            251,
            252,
            191,
            252,
            192,
            192,
            252,
            253,
            192,
            253,
            193,
            193,
            253,
            254,
            193,
            254,
            194,
            194,
            254,
            255,
            194,
            255,
            195,
            195,
            255,
            256,
            195,
            256,
            196,
            196,
            256,
            257,
            196,
            257,
            197,
            197,
            257,
            258,
            197,
            258,
            198,
            198,
            258,
            259,
            198,
            259,
            199,
            199,
            259,
            260,
            199,
            260,
            200,
            200,
            260,
            261,
            200,
            261,
            201,
            201,
            261,
            262,
            201,
            262,
            202,
            202,
            262,
            263,
            202,
            263,
            203,
            203,
            263,
            264,
            203,
            264,
            204,
            204,
            264,
            265,
            204,
            265,
            205,
            205,
            265,
            266,
            205,
            266,
            206,
            206,
            266,
            267,
            206,
            267,
            207,
            207,
            267,
            268,
            207,
            268,
            208,
            208,
            268,
            269,
            208,
            269,
            209,
            209,
            269,
            270,
            209,
            270,
            210,
            210,
            270,
            271,
            210,
            271,
            211,
            211,
            271,
            272,
            211,
            272,
            212,
            212,
            272,
            273,
            212,
            273,
            213,
            213,
            273,
            274,
            213,
            274,
            214,
            214,
            274,
            275,
            214,
            275,
            215,
            215,
            275,
            276,
            215,
            276,
            216,
            216,
            276,
            277,
            216,
            277,
            217,
            217,
            277,
            278,
            217,
            278,
            218,
            218,
            278,
            279,
            218,
            279,
            219,
            219,
            279,
            280,
            219,
            280,
            220,
            220,
            280,
            281,
            220,
            281,
            221,
            221,
            281,
            282,
            221,
            282,
            222,
            222,
            282,
            283,
            222,
            283,
            223,
            223,
            283,
            284,
            223,
            284,
            224,
            224,
            284,
            285,
            224,
            285,
            225,
            225,
            285,
            286,
            225,
            286,
            226,
            226,
            286,
            287,
            226,
            287,
            227,
            227,
            287,
            288,
            227,
            288,
            228,
            228,
            288,
            289,
            228,
            289,
            229,
            229,
            289,
            290,
            229,
            290,
            230,
            230,
            290,
            291,
            230,
            291,
            231,
            231,
            291,
            292,
            231,
            292,
            232,
            232,
            292,
            293,
            232,
            293,
            233,
            233,
            293,
            294,
            233,
            294,
            234,
            234,
            294,
            295,
            234,
            295,
            235,
            235,
            295,
            296,
            235,
            296,
            236,
            236,
            296,
            297,
            236,
            297,
            237,
            237,
            297,
            298,
            237,
            298,
            238,
            238,
            298,
            299,
            238,
            299,
            239,
            239,
            299,
            300,
            239,
            300,
            240,
            240,
            300,
            301,
            240,
            301,
            241,
            241,
            301,
            302,
            241,
            302,
            242,
            242,
            302,
            303,
            242,
            303,
            243,
            243,
            303,
            304,
            244,
            305,
            245,
            245,
            305,
            306,
            245,
            306,
            246,
            246,
            306,
            307,
            246,
            307,
            247,
            247,
            307,
            308,
            247,
            308,
            248,
            248,
            308,
            309,
            248,
            309,
            249,
            249,
            309,
            310,
            249,
            310,
            250,
            250,
            310,
            311,
            250,
            311,
            251,
            251,
            311,
            312,
            251,
            312,
            252,
            252,
            312,
            313,
            252,
            313,
            253,
            253,
            313,
            314,
            253,
            314,
            254,
            254,
            314,
            315,
            254,
            315,
            255,
            255,
            315,
            316,
            255,
            316,
            256,
            256,
            316,
            317,
            256,
            317,
            257,
            257,
            317,
            318,
            257,
            318,
            258,
            258,
            318,
            319,
            258,
            319,
            259,
            259,
            319,
            320,
            259,
            320,
            260,
            260,
            320,
            321,
            260,
            321,
            261,
            261,
            321,
            322,
            261,
            322,
            262,
            262,
            322,
            323,
            262,
            323,
            263,
            263,
            323,
            324,
            263,
            324,
            264,
            264,
            324,
            325,
            264,
            325,
            265,
            265,
            325,
            326,
            265,
            326,
            266,
            266,
            326,
            327,
            266,
            327,
            267,
            267,
            327,
            328,
            267,
            328,
            268,
            268,
            328,
            329,
            268,
            329,
            269,
            269,
            329,
            330,
            269,
            330,
            270,
            270,
            330,
            331,
            270,
            331,
            271,
            271,
            331,
            332,
            271,
            332,
            272,
            272,
            332,
            333,
            272,
            333,
            273,
            273,
            333,
            334,
            273,
            334,
            274,
            274,
            334,
            335,
            274,
            335,
            275,
            275,
            335,
            336,
            275,
            336,
            276,
            276,
            336,
            337,
            276,
            337,
            277,
            277,
            337,
            338,
            277,
            338,
            278,
            278,
            338,
            339,
            278,
            339,
            279,
            279,
            339,
            340,
            279,
            340,
            280,
            280,
            340,
            341,
            280,
            341,
            281,
            281,
            341,
            342,
            281,
            342,
            282,
            282,
            342,
            343,
            282,
            343,
            283,
            283,
            343,
            344,
            283,
            344,
            284,
            284,
            344,
            345,
            284,
            345,
            285,
            285,
            345,
            346,
            285,
            346,
            286,
            286,
            346,
            347,
            286,
            347,
            287,
            287,
            347,
            348,
            287,
            348,
            288,
            288,
            348,
            349,
            288,
            349,
            289,
            289,
            349,
            350,
            289,
            350,
            290,
            290,
            350,
            351,
            290,
            351,
            291,
            291,
            351,
            352,
            291,
            352,
            292,
            292,
            352,
            353,
            292,
            353,
            293,
            293,
            353,
            354,
            293,
            354,
            294,
            294,
            354,
            355,
            294,
            355,
            295,
            295,
            355,
            356,
            295,
            356,
            296,
            296,
            356,
            357,
            296,
            357,
            297,
            297,
            357,
            358,
            297,
            358,
            298,
            298,
            358,
            359,
            298,
            359,
            299,
            299,
            359,
            360,
            299,
            360,
            300,
            300,
            360,
            361,
            300,
            361,
            301,
            301,
            361,
            362,
            301,
            362,
            302,
            302,
            362,
            363,
            302,
            363,
            303,
            303,
            363,
            364,
            303,
            364,
            304,
            304,
            364,
            365,
            305,
            366,
            306,
            306,
            366,
            367,
            306,
            367,
            307,
            307,
            367,
            368,
            307,
            368,
            308,
            308,
            368,
            369,
            308,
            369,
            309,
            309,
            369,
            370,
            309,
            370,
            310,
            310,
            370,
            371,
            310,
            371,
            311,
            311,
            371,
            372,
            311,
            372,
            312,
            312,
            372,
            373,
            312,
            373,
            313,
            313,
            373,
            374,
            313,
            374,
            314,
            314,
            374,
            375,
            314,
            375,
            315,
            315,
            375,
            376,
            315,
            376,
            316,
            316,
            376,
            377,
            316,
            377,
            317,
            317,
            377,
            378,
            317,
            378,
            318,
            318,
            378,
            379,
            318,
            379,
            319,
            319,
            379,
            380,
            319,
            380,
            320,
            320,
            380,
            381,
            320,
            381,
            321,
            321,
            381,
            382,
            321,
            382,
            322,
            322,
            382,
            383,
            322,
            383,
            323,
            323,
            383,
            384,
            323,
            384,
            324,
            324,
            384,
            385,
            324,
            385,
            325,
            325,
            385,
            386,
            325,
            386,
            326,
            326,
            386,
            387,
            326,
            387,
            327,
            327,
            387,
            388,
            327,
            388,
            328,
            328,
            388,
            389,
            328,
            389,
            329,
            329,
            389,
            390,
            329,
            390,
            330,
            330,
            390,
            391,
            330,
            391,
            331,
            331,
            391,
            392,
            331,
            392,
            332,
            332,
            392,
            393,
            332,
            393,
            333,
            333,
            393,
            394,
            333,
            394,
            334,
            334,
            394,
            395,
            334,
            395,
            335,
            335,
            395,
            396,
            335,
            396,
            336,
            336,
            396,
            397,
            336,
            397,
            337,
            337,
            397,
            398,
            337,
            398,
            338,
            338,
            398,
            399,
            338,
            399,
            339,
            339,
            399,
            400,
            339,
            400,
            340,
            340,
            400,
            401,
            340,
            401,
            341,
            341,
            401,
            402,
            341,
            402,
            342,
            342,
            402,
            403,
            342,
            403,
            343,
            343,
            403,
            404,
            343,
            404,
            344,
            344,
            404,
            405,
            344,
            405,
            345,
            345,
            405,
            406,
            345,
            406,
            346,
            346,
            406,
            407,
            346,
            407,
            347,
            347,
            407,
            408,
            347,
            408,
            348,
            348,
            408,
            409,
            348,
            409,
            349,
            349,
            409,
            410,
            349,
            410,
            350,
            350,
            410,
            411,
            350,
            411,
            351,
            351,
            411,
            412,
            351,
            412,
            352,
            352,
            412,
            413,
            352,
            413,
            353,
            353,
            413,
            414,
            353,
            414,
            354,
            354,
            414,
            415,
            354,
            415,
            355,
            355,
            415,
            416,
            355,
            416,
            356,
            356,
            416,
            417,
            356,
            417,
            357,
            357,
            417,
            418,
            357,
            418,
            358,
            358,
            418,
            419,
            358,
            419,
            359,
            359,
            419,
            420,
            359,
            420,
            360,
            360,
            420,
            421,
            360,
            421,
            361,
            361,
            421,
            422,
            361,
            422,
            362,
            362,
            422,
            423,
            362,
            423,
            363,
            363,
            423,
            424,
            363,
            424,
            364,
            364,
            424,
            425,
            364,
            425,
            365,
            365,
            425,
            426,
            366,
            427,
            367,
            367,
            427,
            428,
            367,
            428,
            368,
            368,
            428,
            429,
            368,
            429,
            369,
            369,
            429,
            430,
            369,
            430,
            370,
            370,
            430,
            431,
            370,
            431,
            371,
            371,
            431,
            432,
            371,
            432,
            372,
            372,
            432,
            433,
            372,
            433,
            373,
            373,
            433,
            434,
            373,
            434,
            374,
            374,
            434,
            435,
            374,
            435,
            375,
            375,
            435,
            436,
            375,
            436,
            376,
            376,
            436,
            437,
            376,
            437,
            377,
            377,
            437,
            438,
            377,
            438,
            378,
            378,
            438,
            439,
            378,
            439,
            379,
            379,
            439,
            440,
            379,
            440,
            380,
            380,
            440,
            441,
            380,
            441,
            381,
            381,
            441,
            442,
            381,
            442,
            382,
            382,
            442,
            443,
            382,
            443,
            383,
            383,
            443,
            444,
            383,
            444,
            384,
            384,
            444,
            445,
            384,
            445,
            385,
            385,
            445,
            446,
            385,
            446,
            386,
            386,
            446,
            447,
            386,
            447,
            387,
            387,
            447,
            448,
            387,
            448,
            388,
            388,
            448,
            449,
            388,
            449,
            389,
            389,
            449,
            450,
            389,
            450,
            390,
            390,
            450,
            451,
            390,
            451,
            391,
            391,
            451,
            452,
            391,
            452,
            392,
            392,
            452,
            453,
            392,
            453,
            393,
            393,
            453,
            454,
            393,
            454,
            394,
            394,
            454,
            455,
            394,
            455,
            395,
            395,
            455,
            456,
            395,
            456,
            396,
            396,
            456,
            457,
            396,
            457,
            397,
            397,
            457,
            458,
            397,
            458,
            398,
            398,
            458,
            459,
            398,
            459,
            399,
            399,
            459,
            460,
            399,
            460,
            400,
            400,
            460,
            461,
            400,
            461,
            401,
            401,
            461,
            462,
            401,
            462,
            402,
            402,
            462,
            463,
            402,
            463,
            403,
            403,
            463,
            464,
            403,
            464,
            404,
            404,
            464,
            465,
            404,
            465,
            405,
            405,
            465,
            466,
            405,
            466,
            406,
            406,
            466,
            467,
            406,
            467,
            407,
            407,
            467,
            468,
            407,
            468,
            408,
            408,
            468,
            469,
            408,
            469,
            409,
            409,
            469,
            470,
            409,
            470,
            410,
            410,
            470,
            471,
            410,
            471,
            411,
            411,
            471,
            472,
            411,
            472,
            412,
            412,
            472,
            473,
            412,
            473,
            413,
            413,
            473,
            474,
            413,
            474,
            414,
            414,
            474,
            475,
            414,
            475,
            415,
            415,
            475,
            476,
            415,
            476,
            416,
            416,
            476,
            477,
            416,
            477,
            417,
            417,
            477,
            478,
            417,
            478,
            418,
            418,
            478,
            479,
            418,
            479,
            419,
            419,
            479,
            480,
            419,
            480,
            420,
            420,
            480,
            481,
            420,
            481,
            421,
            421,
            481,
            482,
            421,
            482,
            422,
            422,
            482,
            483,
            422,
            483,
            423,
            423,
            483,
            484,
            423,
            484,
            424,
            424,
            484,
            485,
            424,
            485,
            425,
            425,
            485,
            486,
            425,
            486,
            426,
            426,
            486,
            487,
            427,
            488,
            428,
            428,
            488,
            489,
            428,
            489,
            429,
            429,
            489,
            490,
            429,
            490,
            430,
            430,
            490,
            491,
            430,
            491,
            431,
            431,
            491,
            492,
            431,
            492,
            432,
            432,
            492,
            493,
            432,
            493,
            433,
            433,
            493,
            494,
            433,
            494,
            434,
            434,
            494,
            495,
            434,
            495,
            435,
            435,
            495,
            496,
            435,
            496,
            436,
            436,
            496,
            497,
            436,
            497,
            437,
            437,
            497,
            498,
            437,
            498,
            438,
            438,
            498,
            499,
            438,
            499,
            439,
            439,
            499,
            500,
            439,
            500,
            440,
            440,
            500,
            501,
            440,
            501,
            441,
            441,
            501,
            502,
            441,
            502,
            442,
            442,
            502,
            503,
            442,
            503,
            443,
            443,
            503,
            504,
            443,
            504,
            444,
            444,
            504,
            505,
            444,
            505,
            445,
            445,
            505,
            506,
            445,
            506,
            446,
            446,
            506,
            507,
            446,
            507,
            447,
            447,
            507,
            508,
            447,
            508,
            448,
            448,
            508,
            509,
            448,
            509,
            449,
            449,
            509,
            510,
            449,
            510,
            450,
            450,
            510,
            511,
            450,
            511,
            451,
            451,
            511,
            512,
            451,
            512,
            452,
            452,
            512,
            513,
            452,
            513,
            453,
            453,
            513,
            514,
            453,
            514,
            454,
            454,
            514,
            515,
            454,
            515,
            455,
            455,
            515,
            516,
            455,
            516,
            456,
            456,
            516,
            517,
            456,
            517,
            457,
            457,
            517,
            518,
            457,
            518,
            458,
            458,
            518,
            519,
            458,
            519,
            459,
            459,
            519,
            520,
            459,
            520,
            460,
            460,
            520,
            521,
            460,
            521,
            461,
            461,
            521,
            522,
            461,
            522,
            462,
            462,
            522,
            523,
            462,
            523,
            463,
            463,
            523,
            524,
            463,
            524,
            464,
            464,
            524,
            525,
            464,
            525,
            465,
            465,
            525,
            526,
            465,
            526,
            466,
            466,
            526,
            527,
            466,
            527,
            467,
            467,
            527,
            528,
            467,
            528,
            468,
            468,
            528,
            529,
            468,
            529,
            469,
            469,
            529,
            530,
            469,
            530,
            470,
            470,
            530,
            531,
            470,
            531,
            471,
            471,
            531,
            532,
            471,
            532,
            472,
            472,
            532,
            533,
            472,
            533,
            473,
            473,
            533,
            534,
            473,
            534,
            474,
            474,
            534,
            535,
            474,
            535,
            475,
            475,
            535,
            536,
            475,
            536,
            476,
            476,
            536,
            537,
            476,
            537,
            477,
            477,
            537,
            538,
            477,
            538,
            478,
            478,
            538,
            539,
            478,
            539,
            479,
            479,
            539,
            540,
            479,
            540,
            480,
            480,
            540,
            541,
            480,
            541,
            481,
            481,
            541,
            542,
            481,
            542,
            482,
            482,
            542,
            543,
            482,
            543,
            483,
            483,
            543,
            544,
            483,
            544,
            484,
            484,
            544,
            545,
            484,
            545,
            485,
            485,
            545,
            546,
            485,
            546,
            486,
            486,
            546,
            547,
            486,
            547,
            487,
            487,
            547,
            548,
            488,
            549,
            489,
            489,
            549,
            550,
            489,
            550,
            490,
            490,
            550,
            551,
            490,
            551,
            491,
            491,
            551,
            552,
            491,
            552,
            492,
            492,
            552,
            553,
            492,
            553,
            493,
            493,
            553,
            554,
            493,
            554,
            494,
            494,
            554,
            555,
            494,
            555,
            495,
            495,
            555,
            556,
            495,
            556,
            496,
            496,
            556,
            557,
            496,
            557,
            497,
            497,
            557,
            558,
            497,
            558,
            498,
            498,
            558,
            559,
            498,
            559,
            499,
            499,
            559,
            560,
            499,
            560,
            500,
            500,
            560,
            561,
            500,
            561,
            501,
            501,
            561,
            562,
            501,
            562,
            502,
            502,
            562,
            563,
            502,
            563,
            503,
            503,
            563,
            564,
            503,
            564,
            504,
            504,
            564,
            565,
            504,
            565,
            505,
            505,
            565,
            566,
            505,
            566,
            506,
            506,
            566,
            567,
            506,
            567,
            507,
            507,
            567,
            568,
            507,
            568,
            508,
            508,
            568,
            569,
            508,
            569,
            509,
            509,
            569,
            570,
            509,
            570,
            510,
            510,
            570,
            571,
            510,
            571,
            511,
            511,
            571,
            572,
            511,
            572,
            512,
            512,
            572,
            573,
            512,
            573,
            513,
            513,
            573,
            574,
            513,
            574,
            514,
            514,
            574,
            575,
            514,
            575,
            515,
            515,
            575,
            576,
            515,
            576,
            516,
            516,
            576,
            577,
            516,
            577,
            517,
            517,
            577,
            578,
            517,
            578,
            518,
            518,
            578,
            579,
            518,
            579,
            519,
            519,
            579,
            580,
            519,
            580,
            520,
            520,
            580,
            581,
            520,
            581,
            521,
            521,
            581,
            582,
            521,
            582,
            522,
            522,
            582,
            583,
            522,
            583,
            523,
            523,
            583,
            584,
            523,
            584,
            524,
            524,
            584,
            585,
            524,
            585,
            525,
            525,
            585,
            586,
            525,
            586,
            526,
            526,
            586,
            587,
            526,
            587,
            527,
            527,
            587,
            588,
            527,
            588,
            528,
            528,
            588,
            589,
            528,
            589,
            529,
            529,
            589,
            590,
            529,
            590,
            530,
            530,
            590,
            591,
            530,
            591,
            531,
            531,
            591,
            592,
            531,
            592,
            532,
            532,
            592,
            593,
            532,
            593,
            533,
            533,
            593,
            594,
            533,
            594,
            534,
            534,
            594,
            595,
            534,
            595,
            535,
            535,
            595,
            596,
            535,
            596,
            536,
            536,
            596,
            597,
            536,
            597,
            537,
            537,
            597,
            598,
            537,
            598,
            538,
            538,
            598,
            599,
            538,
            599,
            539,
            539,
            599,
            600,
            539,
            600,
            540,
            540,
            600,
            601,
            540,
            601,
            541,
            541,
            601,
            602,
            541,
            602,
            542,
            542,
            602,
            603,
            542,
            603,
            543,
            543,
            603,
            604,
            543,
            604,
            544,
            544,
            604,
            605,
            544,
            605,
            545,
            545,
            605,
            606,
            545,
            606,
            546,
            546,
            606,
            607,
            546,
            607,
            547,
            547,
            607,
            608,
            547,
            608,
            548,
            548,
            608,
            609,
            549,
            610,
            550,
            550,
            610,
            611,
            550,
            611,
            551,
            551,
            611,
            612,
            551,
            612,
            552,
            552,
            612,
            613,
            552,
            613,
            553,
            553,
            613,
            614,
            553,
            614,
            554,
            554,
            614,
            615,
            554,
            615,
            555,
            555,
            615,
            616,
            555,
            616,
            556,
            556,
            616,
            617,
            556,
            617,
            557,
            557,
            617,
            618,
            557,
            618,
            558,
            558,
            618,
            619,
            558,
            619,
            559,
            559,
            619,
            620,
            559,
            620,
            560,
            560,
            620,
            621,
            560,
            621,
            561,
            561,
            621,
            622,
            561,
            622,
            562,
            562,
            622,
            623,
            562,
            623,
            563,
            563,
            623,
            624,
            563,
            624,
            564,
            564,
            624,
            625,
            564,
            625,
            565,
            565,
            625,
            626,
            565,
            626,
            566,
            566,
            626,
            627,
            566,
            627,
            567,
            567,
            627,
            628,
            567,
            628,
            568,
            568,
            628,
            629,
            568,
            629,
            569,
            569,
            629,
            630,
            569,
            630,
            570,
            570,
            630,
            631,
            570,
            631,
            571,
            571,
            631,
            632,
            571,
            632,
            572,
            572,
            632,
            633,
            572,
            633,
            573,
            573,
            633,
            634,
            573,
            634,
            574,
            574,
            634,
            635,
            574,
            635,
            575,
            575,
            635,
            636,
            575,
            636,
            576,
            576,
            636,
            637,
            576,
            637,
            577,
            577,
            637,
            638,
            577,
            638,
            578,
            578,
            638,
            639,
            578,
            639,
            579,
            579,
            639,
            640,
            579,
            640,
            580,
            580,
            640,
            641,
            580,
            641,
            581,
            581,
            641,
            642,
            581,
            642,
            582,
            582,
            642,
            643,
            582,
            643,
            583,
            583,
            643,
            644,
            583,
            644,
            584,
            584,
            644,
            645,
            584,
            645,
            585,
            585,
            645,
            646,
            585,
            646,
            586,
            586,
            646,
            647,
            586,
            647,
            587,
            587,
            647,
            648,
            587,
            648,
            588,
            588,
            648,
            649,
            588,
            649,
            589,
            589,
            649,
            650,
            589,
            650,
            590,
            590,
            650,
            651,
            590,
            651,
            591,
            591,
            651,
            652,
            591,
            652,
            592,
            592,
            652,
            653,
            592,
            653,
            593,
            593,
            653,
            654,
            593,
            654,
            594,
            594,
            654,
            655,
            594,
            655,
            595,
            595,
            655,
            656,
            595,
            656,
            596,
            596,
            656,
            657,
            596,
            657,
            597,
            597,
            657,
            658,
            597,
            658,
            598,
            598,
            658,
            659,
            598,
            659,
            599,
            599,
            659,
            660,
            599,
            660,
            600,
            600,
            660,
            661,
            600,
            661,
            601,
            601,
            661,
            662,
            601,
            662,
            602,
            602,
            662,
            663,
            602,
            663,
            603,
            603,
            663,
            664,
            603,
            664,
            604,
            604,
            664,
            665,
            604,
            665,
            605,
            605,
            665,
            666,
            605,
            666,
            606,
            606,
            666,
            667,
            606,
            667,
            607,
            607,
            667,
            668,
            607,
            668,
            608,
            608,
            668,
            669,
            608,
            669,
            609,
            609,
            669,
            670,
            610,
            671,
            611,
            611,
            671,
            672,
            611,
            672,
            612,
            612,
            672,
            673,
            612,
            673,
            613,
            613,
            673,
            674,
            613,
            674,
            614,
            614,
            674,
            675,
            614,
            675,
            615,
            615,
            675,
            676,
            615,
            676,
            616,
            616,
            676,
            677,
            616,
            677,
            617,
            617,
            677,
            678,
            617,
            678,
            618,
            618,
            678,
            679,
            618,
            679,
            619,
            619,
            679,
            680,
            619,
            680,
            620,
            620,
            680,
            681,
            620,
            681,
            621,
            621,
            681,
            682,
            621,
            682,
            622,
            622,
            682,
            683,
            622,
            683,
            623,
            623,
            683,
            684,
            623,
            684,
            624,
            624,
            684,
            685,
            624,
            685,
            625,
            625,
            685,
            686,
            625,
            686,
            626,
            626,
            686,
            687,
            626,
            687,
            627,
            627,
            687,
            688,
            627,
            688,
            628,
            628,
            688,
            689,
            628,
            689,
            629,
            629,
            689,
            690,
            629,
            690,
            630,
            630,
            690,
            691,
            630,
            691,
            631,
            631,
            691,
            692,
            631,
            692,
            632,
            632,
            692,
            693,
            632,
            693,
            633,
            633,
            693,
            694,
            633,
            694,
            634,
            634,
            694,
            695,
            634,
            695,
            635,
            635,
            695,
            696,
            635,
            696,
            636,
            636,
            696,
            697,
            636,
            697,
            637,
            637,
            697,
            698,
            637,
            698,
            638,
            638,
            698,
            699,
            638,
            699,
            639,
            639,
            699,
            700,
            639,
            700,
            640,
            640,
            700,
            701,
            640,
            701,
            641,
            641,
            701,
            702,
            641,
            702,
            642,
            642,
            702,
            703,
            642,
            703,
            643,
            643,
            703,
            704,
            643,
            704,
            644,
            644,
            704,
            705,
            644,
            705,
            645,
            645,
            705,
            706,
            645,
            706,
            646,
            646,
            706,
            707,
            646,
            707,
            647,
            647,
            707,
            708,
            647,
            708,
            648,
            648,
            708,
            709,
            648,
            709,
            649,
            649,
            709,
            710,
            649,
            710,
            650,
            650,
            710,
            711,
            650,
            711,
            651,
            651,
            711,
            712,
            651,
            712,
            652,
            652,
            712,
            713,
            652,
            713,
            653,
            653,
            713,
            714,
            653,
            714,
            654,
            654,
            714,
            715,
            654,
            715,
            655,
            655,
            715,
            716,
            655,
            716,
            656,
            656,
            716,
            717,
            656,
            717,
            657,
            657,
            717,
            718,
            657,
            718,
            658,
            658,
            718,
            719,
            658,
            719,
            659,
            659,
            719,
            720,
            659,
            720,
            660,
            660,
            720,
            721,
            660,
            721,
            661,
            661,
            721,
            722,
            661,
            722,
            662,
            662,
            722,
            723,
            662,
            723,
            663,
            663,
            723,
            724,
            663,
            724,
            664,
            664,
            724,
            725,
            664,
            725,
            665,
            665,
            725,
            726,
            665,
            726,
            666,
            666,
            726,
            727,
            666,
            727,
            667,
            667,
            727,
            728,
            667,
            728,
            668,
            668,
            728,
            729,
            668,
            729,
            669,
            669,
            729,
            730,
            669,
            730,
            670,
            670,
            730,
            731,
            671,
            732,
            672,
            672,
            732,
            733,
            672,
            733,
            673,
            673,
            733,
            734,
            673,
            734,
            674,
            674,
            734,
            735,
            674,
            735,
            675,
            675,
            735,
            736,
            675,
            736,
            676,
            676,
            736,
            737,
            676,
            737,
            677,
            677,
            737,
            738,
            677,
            738,
            678,
            678,
            738,
            739,
            678,
            739,
            679,
            679,
            739,
            740,
            679,
            740,
            680,
            680,
            740,
            741,
            680,
            741,
            681,
            681,
            741,
            742,
            681,
            742,
            682,
            682,
            742,
            743,
            682,
            743,
            683,
            683,
            743,
            744,
            683,
            744,
            684,
            684,
            744,
            745,
            684,
            745,
            685,
            685,
            745,
            746,
            685,
            746,
            686,
            686,
            746,
            747,
            686,
            747,
            687,
            687,
            747,
            748,
            687,
            748,
            688,
            688,
            748,
            749,
            688,
            749,
            689,
            689,
            749,
            750,
            689,
            750,
            690,
            690,
            750,
            751,
            690,
            751,
            691,
            691,
            751,
            752,
            691,
            752,
            692,
            692,
            752,
            753,
            692,
            753,
            693,
            693,
            753,
            754,
            693,
            754,
            694,
            694,
            754,
            755,
            694,
            755,
            695,
            695,
            755,
            756,
            695,
            756,
            696,
            696,
            756,
            757,
            696,
            757,
            697,
            697,
            757,
            758,
            697,
            758,
            698,
            698,
            758,
            759,
            698,
            759,
            699,
            699,
            759,
            760,
            699,
            760,
            700,
            700,
            760,
            761,
            700,
            761,
            701,
            701,
            761,
            762,
            701,
            762,
            702,
            702,
            762,
            763,
            702,
            763,
            703,
            703,
            763,
            764,
            703,
            764,
            704,
            704,
            764,
            765,
            704,
            765,
            705,
            705,
            765,
            766,
            705,
            766,
            706,
            706,
            766,
            767,
            706,
            767,
            707,
            707,
            767,
            768,
            707,
            768,
            708,
            708,
            768,
            769,
            708,
            769,
            709,
            709,
            769,
            770,
            709,
            770,
            710,
            710,
            770,
            771,
            710,
            771,
            711,
            711,
            771,
            772,
            711,
            772,
            712,
            712,
            772,
            773,
            712,
            773,
            713,
            713,
            773,
            774,
            713,
            774,
            714,
            714,
            774,
            775,
            714,
            775,
            715,
            715,
            775,
            776,
            715,
            776,
            716,
            716,
            776,
            777,
            716,
            777,
            717,
            717,
            777,
            778,
            717,
            778,
            718,
            718,
            778,
            779,
            718,
            779,
            719,
            719,
            779,
            780,
            719,
            780,
            720,
            720,
            780,
            781,
            720,
            781,
            721,
            721,
            781,
            782,
            721,
            782,
            722,
            722,
            782,
            783,
            722,
            783,
            723,
            723,
            783,
            784,
            723,
            784,
            724,
            724,
            784,
            785,
            724,
            785,
            725,
            725,
            785,
            786,
            725,
            786,
            726,
            726,
            786,
            787,
            726,
            787,
            727,
            727,
            787,
            788,
            727,
            788,
            728,
            728,
            788,
            789,
            728,
            789,
            729,
            729,
            789,
            790,
            729,
            790,
            730,
            730,
            790,
            791,
            730,
            791,
            731,
            731,
            791,
            792,
            732,
            793,
            733,
            733,
            793,
            794,
            733,
            794,
            734,
            734,
            794,
            795,
            734,
            795,
            735,
            735,
            795,
            796,
            735,
            796,
            736,
            736,
            796,
            797,
            736,
            797,
            737,
            737,
            797,
            798,
            737,
            798,
            738,
            738,
            798,
            799,
            738,
            799,
            739,
            739,
            799,
            800,
            739,
            800,
            740,
            740,
            800,
            801,
            740,
            801,
            741,
            741,
            801,
            802,
            741,
            802,
            742,
            742,
            802,
            803,
            742,
            803,
            743,
            743,
            803,
            804,
            743,
            804,
            744,
            744,
            804,
            805,
            744,
            805,
            745,
            745,
            805,
            806,
            745,
            806,
            746,
            746,
            806,
            807,
            746,
            807,
            747,
            747,
            807,
            808,
            747,
            808,
            748,
            748,
            808,
            809,
            748,
            809,
            749,
            749,
            809,
            810,
            749,
            810,
            750,
            750,
            810,
            811,
            750,
            811,
            751,
            751,
            811,
            812,
            751,
            812,
            752,
            752,
            812,
            813,
            752,
            813,
            753,
            753,
            813,
            814,
            753,
            814,
            754,
            754,
            814,
            815,
            754,
            815,
            755,
            755,
            815,
            816,
            755,
            816,
            756,
            756,
            816,
            817,
            756,
            817,
            757,
            757,
            817,
            818,
            757,
            818,
            758,
            758,
            818,
            819,
            758,
            819,
            759,
            759,
            819,
            820,
            759,
            820,
            760,
            760,
            820,
            821,
            760,
            821,
            761,
            761,
            821,
            822,
            761,
            822,
            762,
            762,
            822,
            823,
            762,
            823,
            763,
            763,
            823,
            824,
            763,
            824,
            764,
            764,
            824,
            825,
            764,
            825,
            765,
            765,
            825,
            826,
            765,
            826,
            766,
            766,
            826,
            827,
            766,
            827,
            767,
            767,
            827,
            828,
            767,
            828,
            768,
            768,
            828,
            829,
            768,
            829,
            769,
            769,
            829,
            830,
            769,
            830,
            770,
            770,
            830,
            831,
            770,
            831,
            771,
            771,
            831,
            832,
            771,
            832,
            772,
            772,
            832,
            833,
            772,
            833,
            773,
            773,
            833,
            834,
            773,
            834,
            774,
            774,
            834,
            835,
            774,
            835,
            775,
            775,
            835,
            836,
            775,
            836,
            776,
            776,
            836,
            837,
            776,
            837,
            777,
            777,
            837,
            838,
            777,
            838,
            778,
            778,
            838,
            839,
            778,
            839,
            779,
            779,
            839,
            840,
            779,
            840,
            780,
            780,
            840,
            841,
            780,
            841,
            781,
            781,
            841,
            842,
            781,
            842,
            782,
            782,
            842,
            843,
            782,
            843,
            783,
            783,
            843,
            844,
            783,
            844,
            784,
            784,
            844,
            845,
            784,
            845,
            785,
            785,
            845,
            846,
            785,
            846,
            786,
            786,
            846,
            847,
            786,
            847,
            787,
            787,
            847,
            848,
            787,
            848,
            788,
            788,
            848,
            849,
            788,
            849,
            789,
            789,
            849,
            850,
            789,
            850,
            790,
            790,
            850,
            851,
            790,
            851,
            791,
            791,
            851,
            852,
            791,
            852,
            792,
            792,
            852,
            853,
            793,
            854,
            794,
            794,
            854,
            855,
            794,
            855,
            795,
            795,
            855,
            856,
            795,
            856,
            796,
            796,
            856,
            857,
            796,
            857,
            797,
            797,
            857,
            858,
            797,
            858,
            798,
            798,
            858,
            859,
            798,
            859,
            799,
            799,
            859,
            860,
            799,
            860,
            800,
            800,
            860,
            861,
            800,
            861,
            801,
            801,
            861,
            862,
            801,
            862,
            802,
            802,
            862,
            863,
            802,
            863,
            803,
            803,
            863,
            864,
            803,
            864,
            804,
            804,
            864,
            865,
            804,
            865,
            805,
            805,
            865,
            866,
            805,
            866,
            806,
            806,
            866,
            867,
            806,
            867,
            807,
            807,
            867,
            868,
            807,
            868,
            808,
            808,
            868,
            869,
            808,
            869,
            809,
            809,
            869,
            870,
            809,
            870,
            810,
            810,
            870,
            871,
            810,
            871,
            811,
            811,
            871,
            872,
            811,
            872,
            812,
            812,
            872,
            873,
            812,
            873,
            813,
            813,
            873,
            874,
            813,
            874,
            814,
            814,
            874,
            875,
            814,
            875,
            815,
            815,
            875,
            876,
            815,
            876,
            816,
            816,
            876,
            877,
            816,
            877,
            817,
            817,
            877,
            878,
            817,
            878,
            818,
            818,
            878,
            879,
            818,
            879,
            819,
            819,
            879,
            880,
            819,
            880,
            820,
            820,
            880,
            881,
            820,
            881,
            821,
            821,
            881,
            882,
            821,
            882,
            822,
            822,
            882,
            883,
            822,
            883,
            823,
            823,
            883,
            884,
            823,
            884,
            824,
            824,
            884,
            885,
            824,
            885,
            825,
            825,
            885,
            886,
            825,
            886,
            826,
            826,
            886,
            887,
            826,
            887,
            827,
            827,
            887,
            888,
            827,
            888,
            828,
            828,
            888,
            889,
            828,
            889,
            829,
            829,
            889,
            890,
            829,
            890,
            830,
            830,
            890,
            891,
            830,
            891,
            831,
            831,
            891,
            892,
            831,
            892,
            832,
            832,
            892,
            893,
            832,
            893,
            833,
            833,
            893,
            894,
            833,
            894,
            834,
            834,
            894,
            895,
            834,
            895,
            835,
            835,
            895,
            896,
            835,
            896,
            836,
            836,
            896,
            897,
            836,
            897,
            837,
            837,
            897,
            898,
            837,
            898,
            838,
            838,
            898,
            899,
            838,
            899,
            839,
            839,
            899,
            900,
            839,
            900,
            840,
            840,
            900,
            901,
            840,
            901,
            841,
            841,
            901,
            902,
            841,
            902,
            842,
            842,
            902,
            903,
            842,
            903,
            843,
            843,
            903,
            904,
            843,
            904,
            844,
            844,
            904,
            905,
            844,
            905,
            845,
            845,
            905,
            906,
            845,
            906,
            846,
            846,
            906,
            907,
            846,
            907,
            847,
            847,
            907,
            908,
            847,
            908,
            848,
            848,
            908,
            909,
            848,
            909,
            849,
            849,
            909,
            910,
            849,
            910,
            850,
            850,
            910,
            911,
            850,
            911,
            851,
            851,
            911,
            912,
            851,
            912,
            852,
            852,
            912,
            913,
            852,
            913,
            853,
            853,
            913,
            914,
            854,
            915,
            855,
            855,
            915,
            916,
            855,
            916,
            856,
            856,
            916,
            917,
            856,
            917,
            857,
            857,
            917,
            918,
            857,
            918,
            858,
            858,
            918,
            919,
            858,
            919,
            859,
            859,
            919,
            920,
            859,
            920,
            860,
            860,
            920,
            921,
            860,
            921,
            861,
            861,
            921,
            922,
            861,
            922,
            862,
            862,
            922,
            923,
            862,
            923,
            863,
            863,
            923,
            924,
            863,
            924,
            864,
            864,
            924,
            925,
            864,
            925,
            865,
            865,
            925,
            926,
            865,
            926,
            866,
            866,
            926,
            927,
            866,
            927,
            867,
            867,
            927,
            928,
            867,
            928,
            868,
            868,
            928,
            929,
            868,
            929,
            869,
            869,
            929,
            930,
            869,
            930,
            870,
            870,
            930,
            931,
            870,
            931,
            871,
            871,
            931,
            932,
            871,
            932,
            872,
            872,
            932,
            933,
            872,
            933,
            873,
            873,
            933,
            934,
            873,
            934,
            874,
            874,
            934,
            935,
            874,
            935,
            875,
            875,
            935,
            936,
            875,
            936,
            876,
            876,
            936,
            937,
            876,
            937,
            877,
            877,
            937,
            938,
            877,
            938,
            878,
            878,
            938,
            939,
            878,
            939,
            879,
            879,
            939,
            940,
            879,
            940,
            880,
            880,
            940,
            941,
            880,
            941,
            881,
            881,
            941,
            942,
            881,
            942,
            882,
            882,
            942,
            943,
            882,
            943,
            883,
            883,
            943,
            944,
            883,
            944,
            884,
            884,
            944,
            945,
            884,
            945,
            885,
            885,
            945,
            946,
            885,
            946,
            886,
            886,
            946,
            947,
            886,
            947,
            887,
            887,
            947,
            948,
            887,
            948,
            888,
            888,
            948,
            949,
            888,
            949,
            889,
            889,
            949,
            950,
            889,
            950,
            890,
            890,
            950,
            951,
            890,
            951,
            891,
            891,
            951,
            952,
            891,
            952,
            892,
            892,
            952,
            953,
            892,
            953,
            893,
            893,
            953,
            954,
            893,
            954,
            894,
            894,
            954,
            955,
            894,
            955,
            895,
            895,
            955,
            956,
            895,
            956,
            896,
            896,
            956,
            957,
            896,
            957,
            897,
            897,
            957,
            958,
            897,
            958,
            898,
            898,
            958,
            959,
            898,
            959,
            899,
            899,
            959,
            960,
            899,
            960,
            900,
            900,
            960,
            961,
            900,
            961,
            901,
            901,
            961,
            962,
            901,
            962,
            902,
            902,
            962,
            963,
            902,
            963,
            903,
            903,
            963,
            964,
            903,
            964,
            904,
            904,
            964,
            965,
            904,
            965,
            905,
            905,
            965,
            966,
            905,
            966,
            906,
            906,
            966,
            967,
            906,
            967,
            907,
            907,
            967,
            968,
            907,
            968,
            908,
            908,
            968,
            969,
            908,
            969,
            909,
            909,
            969,
            970,
            909,
            970,
            910,
            910,
            970,
            971,
            910,
            971,
            911,
            911,
            971,
            972,
            911,
            972,
            912,
            912,
            972,
            973,
            912,
            973,
            913,
            913,
            973,
            974,
            913,
            974,
            914,
            914,
            974,
            975,
            915,
            976,
            916,
            916,
            976,
            977,
            916,
            977,
            917,
            917,
            977,
            978,
            917,
            978,
            918,
            918,
            978,
            979,
            918,
            979,
            919,
            919,
            979,
            980,
            919,
            980,
            920,
            920,
            980,
            981,
            920,
            981,
            921,
            921,
            981,
            982,
            921,
            982,
            922,
            922,
            982,
            983,
            922,
            983,
            923,
            923,
            983,
            984,
            923,
            984,
            924,
            924,
            984,
            985,
            924,
            985,
            925,
            925,
            985,
            986,
            925,
            986,
            926,
            926,
            986,
            987,
            926,
            987,
            927,
            927,
            987,
            988,
            927,
            988,
            928,
            928,
            988,
            989,
            928,
            989,
            929,
            929,
            989,
            990,
            929,
            990,
            930,
            930,
            990,
            991,
            930,
            991,
            931,
            931,
            991,
            992,
            931,
            992,
            932,
            932,
            992,
            993,
            932,
            993,
            933,
            933,
            993,
            994,
            933,
            994,
            934,
            934,
            994,
            995,
            934,
            995,
            935,
            935,
            995,
            996,
            935,
            996,
            936,
            936,
            996,
            997,
            936,
            997,
            937,
            937,
            997,
            998,
            937,
            998,
            938,
            938,
            998,
            999,
            938,
            999,
            939,
            939,
            999,
            1000,
            939,
            1000,
            940,
            940,
            1000,
            1001,
            940,
            1001,
            941,
            941,
            1001,
            1002,
            941,
            1002,
            942,
            942,
            1002,
            1003,
            942,
            1003,
            943,
            943,
            1003,
            1004,
            943,
            1004,
            944,
            944,
            1004,
            1005,
            944,
            1005,
            945,
            945,
            1005,
            1006,
            945,
            1006,
            946,
            946,
            1006,
            1007,
            946,
            1007,
            947,
            947,
            1007,
            1008,
            947,
            1008,
            948,
            948,
            1008,
            1009,
            948,
            1009,
            949,
            949,
            1009,
            1010,
            949,
            1010,
            950,
            950,
            1010,
            1011,
            950,
            1011,
            951,
            951,
            1011,
            1012,
            951,
            1012,
            952,
            952,
            1012,
            1013,
            952,
            1013,
            953,
            953,
            1013,
            1014,
            953,
            1014,
            954,
            954,
            1014,
            1015,
            954,
            1015,
            955,
            955,
            1015,
            1016,
            955,
            1016,
            956,
            956,
            1016,
            1017,
            956,
            1017,
            957,
            957,
            1017,
            1018,
            957,
            1018,
            958,
            958,
            1018,
            1019,
            958,
            1019,
            959,
            959,
            1019,
            1020,
            959,
            1020,
            960,
            960,
            1020,
            1021,
            960,
            1021,
            961,
            961,
            1021,
            1022,
            961,
            1022,
            962,
            962,
            1022,
            1023,
            962,
            1023,
            963,
            963,
            1023,
            1024,
            963,
            1024,
            964,
            964,
            1024,
            1025,
            964,
            1025,
            965,
            965,
            1025,
            1026,
            965,
            1026,
            966,
            966,
            1026,
            1027,
            966,
            1027,
            967,
            967,
            1027,
            1028,
            967,
            1028,
            968,
            968,
            1028,
            1029,
            968,
            1029,
            969,
            969,
            1029,
            1030,
            969,
            1030,
            970,
            970,
            1030,
            1031,
            970,
            1031,
            971,
            971,
            1031,
            1032,
            971,
            1032,
            972,
            972,
            1032,
            1033,
            972,
            1033,
            973,
            973,
            1033,
            1034,
            973,
            1034,
            974,
            974,
            1034,
            1035,
            974,
            1035,
            975,
            975,
            1035,
            1036,
            976,
            1037,
            977,
            977,
            1037,
            1038,
            977,
            1038,
            978,
            978,
            1038,
            1039,
            978,
            1039,
            979,
            979,
            1039,
            1040,
            979,
            1040,
            980,
            980,
            1040,
            1041,
            980,
            1041,
            981,
            981,
            1041,
            1042,
            981,
            1042,
            982,
            982,
            1042,
            1043,
            982,
            1043,
            983,
            983,
            1043,
            1044,
            983,
            1044,
            984,
            984,
            1044,
            1045,
            984,
            1045,
            985,
            985,
            1045,
            1046,
            985,
            1046,
            986,
            986,
            1046,
            1047,
            986,
            1047,
            987,
            987,
            1047,
            1048,
            987,
            1048,
            988,
            988,
            1048,
            1049,
            988,
            1049,
            989,
            989,
            1049,
            1050,
            989,
            1050,
            990,
            990,
            1050,
            1051,
            990,
            1051,
            991,
            991,
            1051,
            1052,
            991,
            1052,
            992,
            992,
            1052,
            1053,
            992,
            1053,
            993,
            993,
            1053,
            1054,
            993,
            1054,
            994,
            994,
            1054,
            1055,
            994,
            1055,
            995,
            995,
            1055,
            1056,
            995,
            1056,
            996,
            996,
            1056,
            1057,
            996,
            1057,
            997,
            997,
            1057,
            1058,
            997,
            1058,
            998,
            998,
            1058,
            1059,
            998,
            1059,
            999,
            999,
            1059,
            1060,
            999,
            1060,
            1000,
            1000,
            1060,
            1061,
            1000,
            1061,
            1001,
            1001,
            1061,
            1062,
            1001,
            1062,
            1002,
            1002,
            1062,
            1063,
            1002,
            1063,
            1003,
            1003,
            1063,
            1064,
            1003,
            1064,
            1004,
            1004,
            1064,
            1065,
            1004,
            1065,
            1005,
            1005,
            1065,
            1066,
            1005,
            1066,
            1006,
            1006,
            1066,
            1067,
            1006,
            1067,
            1007,
            1007,
            1067,
            1068,
            1007,
            1068,
            1008,
            1008,
            1068,
            1069,
            1008,
            1069,
            1009,
            1009,
            1069,
            1070,
            1009,
            1070,
            1010,
            1010,
            1070,
            1071,
            1010,
            1071,
            1011,
            1011,
            1071,
            1072,
            1011,
            1072,
            1012,
            1012,
            1072,
            1073,
            1012,
            1073,
            1013,
            1013,
            1073,
            1074,
            1013,
            1074,
            1014,
            1014,
            1074,
            1075,
            1014,
            1075,
            1015,
            1015,
            1075,
            1076,
            1015,
            1076,
            1016,
            1016,
            1076,
            1077,
            1016,
            1077,
            1017,
            1017,
            1077,
            1078,
            1017,
            1078,
            1018,
            1018,
            1078,
            1079,
            1018,
            1079,
            1019,
            1019,
            1079,
            1080,
            1019,
            1080,
            1020,
            1020,
            1080,
            1081,
            1020,
            1081,
            1021,
            1021,
            1081,
            1082,
            1021,
            1082,
            1022,
            1022,
            1082,
            1083,
            1022,
            1083,
            1023,
            1023,
            1083,
            1084,
            1023,
            1084,
            1024,
            1024,
            1084,
            1085,
            1024,
            1085,
            1025,
            1025,
            1085,
            1086,
            1025,
            1086,
            1026,
            1026,
            1086,
            1087,
            1026,
            1087,
            1027,
            1027,
            1087,
            1088,
            1027,
            1088,
            1028,
            1028,
            1088,
            1089,
            1028,
            1089,
            1029,
            1029,
            1089,
            1090,
            1029,
            1090,
            1030,
            1030,
            1090,
            1091,
            1030,
            1091,
            1031,
            1031,
            1091,
            1092,
            1031,
            1092,
            1032,
            1032,
            1092,
            1093,
            1032,
            1093,
            1033,
            1033,
            1093,
            1094,
            1033,
            1094,
            1034,
            1034,
            1094,
            1095,
            1034,
            1095,
            1035,
            1035,
            1095,
            1096,
            1035,
            1096,
            1036,
            1036,
            1096,
            1097,
            1037,
            1098,
            1038,
            1038,
            1098,
            1099,
            1038,
            1099,
            1039,
            1039,
            1099,
            1100,
            1039,
            1100,
            1040,
            1040,
            1100,
            1101,
            1040,
            1101,
            1041,
            1041,
            1101,
            1102,
            1041,
            1102,
            1042,
            1042,
            1102,
            1103,
            1042,
            1103,
            1043,
            1043,
            1103,
            1104,
            1043,
            1104,
            1044,
            1044,
            1104,
            1105,
            1044,
            1105,
            1045,
            1045,
            1105,
            1106,
            1045,
            1106,
            1046,
            1046,
            1106,
            1107,
            1046,
            1107,
            1047,
            1047,
            1107,
            1108,
            1047,
            1108,
            1048,
            1048,
            1108,
            1109,
            1048,
            1109,
            1049,
            1049,
            1109,
            1110,
            1049,
            1110,
            1050,
            1050,
            1110,
            1111,
            1050,
            1111,
            1051,
            1051,
            1111,
            1112,
            1051,
            1112,
            1052,
            1052,
            1112,
            1113,
            1052,
            1113,
            1053,
            1053,
            1113,
            1114,
            1053,
            1114,
            1054,
            1054,
            1114,
            1115,
            1054,
            1115,
            1055,
            1055,
            1115,
            1116,
            1055,
            1116,
            1056,
            1056,
            1116,
            1117,
            1056,
            1117,
            1057,
            1057,
            1117,
            1118,
            1057,
            1118,
            1058,
            1058,
            1118,
            1119,
            1058,
            1119,
            1059,
            1059,
            1119,
            1120,
            1059,
            1120,
            1060,
            1060,
            1120,
            1121,
            1060,
            1121,
            1061,
            1061,
            1121,
            1122,
            1061,
            1122,
            1062,
            1062,
            1122,
            1123,
            1062,
            1123,
            1063,
            1063,
            1123,
            1124,
            1063,
            1124,
            1064,
            1064,
            1124,
            1125,
            1064,
            1125,
            1065,
            1065,
            1125,
            1126,
            1065,
            1126,
            1066,
            1066,
            1126,
            1127,
            1066,
            1127,
            1067,
            1067,
            1127,
            1128,
            1067,
            1128,
            1068,
            1068,
            1128,
            1129,
            1068,
            1129,
            1069,
            1069,
            1129,
            1130,
            1069,
            1130,
            1070,
            1070,
            1130,
            1131,
            1070,
            1131,
            1071,
            1071,
            1131,
            1132,
            1071,
            1132,
            1072,
            1072,
            1132,
            1133,
            1072,
            1133,
            1073,
            1073,
            1133,
            1134,
            1073,
            1134,
            1074,
            1074,
            1134,
            1135,
            1074,
            1135,
            1075,
            1075,
            1135,
            1136,
            1075,
            1136,
            1076,
            1076,
            1136,
            1137,
            1076,
            1137,
            1077,
            1077,
            1137,
            1138,
            1077,
            1138,
            1078,
            1078,
            1138,
            1139,
            1078,
            1139,
            1079,
            1079,
            1139,
            1140,
            1079,
            1140,
            1080,
            1080,
            1140,
            1141,
            1080,
            1141,
            1081,
            1081,
            1141,
            1142,
            1081,
            1142,
            1082,
            1082,
            1142,
            1143,
            1082,
            1143,
            1083,
            1083,
            1143,
            1144,
            1083,
            1144,
            1084,
            1084,
            1144,
            1145,
            1084,
            1145,
            1085,
            1085,
            1145,
            1146,
            1085,
            1146,
            1086,
            1086,
            1146,
            1147,
            1086,
            1147,
            1087,
            1087,
            1147,
            1148,
            1087,
            1148,
            1088,
            1088,
            1148,
            1149,
            1088,
            1149,
            1089,
            1089,
            1149,
            1150,
            1089,
            1150,
            1090,
            1090,
            1150,
            1151,
            1090,
            1151,
            1091,
            1091,
            1151,
            1152,
            1091,
            1152,
            1092,
            1092,
            1152,
            1153,
            1092,
            1153,
            1093,
            1093,
            1153,
            1154,
            1093,
            1154,
            1094,
            1094,
            1154,
            1155,
            1094,
            1155,
            1095,
            1095,
            1155,
            1156,
            1095,
            1156,
            1096,
            1096,
            1156,
            1157,
            1096,
            1157,
            1097,
            1097,
            1157,
            1158,
            1098,
            1159,
            1099,
            1099,
            1159,
            1160,
            1099,
            1160,
            1100,
            1100,
            1160,
            1161,
            1100,
            1161,
            1101,
            1101,
            1161,
            1162,
            1101,
            1162,
            1102,
            1102,
            1162,
            1163,
            1102,
            1163,
            1103,
            1103,
            1163,
            1164,
            1103,
            1164,
            1104,
            1104,
            1164,
            1165,
            1104,
            1165,
            1105,
            1105,
            1165,
            1166,
            1105,
            1166,
            1106,
            1106,
            1166,
            1167,
            1106,
            1167,
            1107,
            1107,
            1167,
            1168,
            1107,
            1168,
            1108,
            1108,
            1168,
            1169,
            1108,
            1169,
            1109,
            1109,
            1169,
            1170,
            1109,
            1170,
            1110,
            1110,
            1170,
            1171,
            1110,
            1171,
            1111,
            1111,
            1171,
            1172,
            1111,
            1172,
            1112,
            1112,
            1172,
            1173,
            1112,
            1173,
            1113,
            1113,
            1173,
            1174,
            1113,
            1174,
            1114,
            1114,
            1174,
            1175,
            1114,
            1175,
            1115,
            1115,
            1175,
            1176,
            1115,
            1176,
            1116,
            1116,
            1176,
            1177,
            1116,
            1177,
            1117,
            1117,
            1177,
            1178,
            1117,
            1178,
            1118,
            1118,
            1178,
            1179,
            1118,
            1179,
            1119,
            1119,
            1179,
            1180,
            1119,
            1180,
            1120,
            1120,
            1180,
            1181,
            1120,
            1181,
            1121,
            1121,
            1181,
            1182,
            1121,
            1182,
            1122,
            1122,
            1182,
            1183,
            1122,
            1183,
            1123,
            1123,
            1183,
            1184,
            1123,
            1184,
            1124,
            1124,
            1184,
            1185,
            1124,
            1185,
            1125,
            1125,
            1185,
            1186,
            1125,
            1186,
            1126,
            1126,
            1186,
            1187,
            1126,
            1187,
            1127,
            1127,
            1187,
            1188,
            1127,
            1188,
            1128,
            1128,
            1188,
            1189,
            1128,
            1189,
            1129,
            1129,
            1189,
            1190,
            1129,
            1190,
            1130,
            1130,
            1190,
            1191,
            1130,
            1191,
            1131,
            1131,
            1191,
            1192,
            1131,
            1192,
            1132,
            1132,
            1192,
            1193,
            1132,
            1193,
            1133,
            1133,
            1193,
            1194,
            1133,
            1194,
            1134,
            1134,
            1194,
            1195,
            1134,
            1195,
            1135,
            1135,
            1195,
            1196,
            1135,
            1196,
            1136,
            1136,
            1196,
            1197,
            1136,
            1197,
            1137,
            1137,
            1197,
            1198,
            1137,
            1198,
            1138,
            1138,
            1198,
            1199,
            1138,
            1199,
            1139,
            1139,
            1199,
            1200,
            1139,
            1200,
            1140,
            1140,
            1200,
            1201,
            1140,
            1201,
            1141,
            1141,
            1201,
            1202,
            1141,
            1202,
            1142,
            1142,
            1202,
            1203,
            1142,
            1203,
            1143,
            1143,
            1203,
            1204,
            1143,
            1204,
            1144,
            1144,
            1204,
            1205,
            1144,
            1205,
            1145,
            1145,
            1205,
            1206,
            1145,
            1206,
            1146,
            1146,
            1206,
            1207,
            1146,
            1207,
            1147,
            1147,
            1207,
            1208,
            1147,
            1208,
            1148,
            1148,
            1208,
            1209,
            1148,
            1209,
            1149,
            1149,
            1209,
            1210,
            1149,
            1210,
            1150,
            1150,
            1210,
            1211,
            1150,
            1211,
            1151,
            1151,
            1211,
            1212,
            1151,
            1212,
            1152,
            1152,
            1212,
            1213,
            1152,
            1213,
            1153,
            1153,
            1213,
            1214,
            1153,
            1214,
            1154,
            1154,
            1214,
            1215,
            1154,
            1215,
            1155,
            1155,
            1215,
            1216,
            1155,
            1216,
            1156,
            1156,
            1216,
            1217,
            1156,
            1217,
            1157,
            1157,
            1217,
            1218,
            1157,
            1218,
            1158,
            1158,
            1218,
            1219,
            1159,
            1220,
            1160,
            1160,
            1220,
            1221,
            1160,
            1221,
            1161,
            1161,
            1221,
            1222,
            1161,
            1222,
            1162,
            1162,
            1222,
            1223,
            1162,
            1223,
            1163,
            1163,
            1223,
            1224,
            1163,
            1224,
            1164,
            1164,
            1224,
            1225,
            1164,
            1225,
            1165,
            1165,
            1225,
            1226,
            1165,
            1226,
            1166,
            1166,
            1226,
            1227,
            1166,
            1227,
            1167,
            1167,
            1227,
            1228,
            1167,
            1228,
            1168,
            1168,
            1228,
            1229,
            1168,
            1229,
            1169,
            1169,
            1229,
            1230,
            1169,
            1230,
            1170,
            1170,
            1230,
            1231,
            1170,
            1231,
            1171,
            1171,
            1231,
            1232,
            1171,
            1232,
            1172,
            1172,
            1232,
            1233,
            1172,
            1233,
            1173,
            1173,
            1233,
            1234,
            1173,
            1234,
            1174,
            1174,
            1234,
            1235,
            1174,
            1235,
            1175,
            1175,
            1235,
            1236,
            1175,
            1236,
            1176,
            1176,
            1236,
            1237,
            1176,
            1237,
            1177,
            1177,
            1237,
            1238,
            1177,
            1238,
            1178,
            1178,
            1238,
            1239,
            1178,
            1239,
            1179,
            1179,
            1239,
            1240,
            1179,
            1240,
            1180,
            1180,
            1240,
            1241,
            1180,
            1241,
            1181,
            1181,
            1241,
            1242,
            1181,
            1242,
            1182,
            1182,
            1242,
            1243,
            1182,
            1243,
            1183,
            1183,
            1243,
            1244,
            1183,
            1244,
            1184,
            1184,
            1244,
            1245,
            1184,
            1245,
            1185,
            1185,
            1245,
            1246,
            1185,
            1246,
            1186,
            1186,
            1246,
            1247,
            1186,
            1247,
            1187,
            1187,
            1247,
            1248,
            1187,
            1248,
            1188,
            1188,
            1248,
            1249,
            1188,
            1249,
            1189,
            1189,
            1249,
            1250,
            1189,
            1250,
            1190,
            1190,
            1250,
            1251,
            1190,
            1251,
            1191,
            1191,
            1251,
            1252,
            1191,
            1252,
            1192,
            1192,
            1252,
            1253,
            1192,
            1253,
            1193,
            1193,
            1253,
            1254,
            1193,
            1254,
            1194,
            1194,
            1254,
            1255,
            1194,
            1255,
            1195,
            1195,
            1255,
            1256,
            1195,
            1256,
            1196,
            1196,
            1256,
            1257,
            1196,
            1257,
            1197,
            1197,
            1257,
            1258,
            1197,
            1258,
            1198,
            1198,
            1258,
            1259,
            1198,
            1259,
            1199,
            1199,
            1259,
            1260,
            1199,
            1260,
            1200,
            1200,
            1260,
            1261,
            1200,
            1261,
            1201,
            1201,
            1261,
            1262,
            1201,
            1262,
            1202,
            1202,
            1262,
            1263,
            1202,
            1263,
            1203,
            1203,
            1263,
            1264,
            1203,
            1264,
            1204,
            1204,
            1264,
            1265,
            1204,
            1265,
            1205,
            1205,
            1265,
            1266,
            1205,
            1266,
            1206,
            1206,
            1266,
            1267,
            1206,
            1267,
            1207,
            1207,
            1267,
            1268,
            1207,
            1268,
            1208,
            1208,
            1268,
            1269,
            1208,
            1269,
            1209,
            1209,
            1269,
            1270,
            1209,
            1270,
            1210,
            1210,
            1270,
            1271,
            1210,
            1271,
            1211,
            1211,
            1271,
            1272,
            1211,
            1272,
            1212,
            1212,
            1272,
            1273,
            1212,
            1273,
            1213,
            1213,
            1273,
            1274,
            1213,
            1274,
            1214,
            1214,
            1274,
            1275,
            1214,
            1275,
            1215,
            1215,
            1275,
            1276,
            1215,
            1276,
            1216,
            1216,
            1276,
            1277,
            1216,
            1277,
            1217,
            1217,
            1277,
            1278,
            1217,
            1278,
            1218,
            1218,
            1278,
            1279,
            1218,
            1279,
            1219,
            1219,
            1279,
            1280,
            1220,
            1281,
            1221,
            1221,
            1281,
            1282,
            1221,
            1282,
            1222,
            1222,
            1282,
            1283,
            1222,
            1283,
            1223,
            1223,
            1283,
            1284,
            1223,
            1284,
            1224,
            1224,
            1284,
            1285,
            1224,
            1285,
            1225,
            1225,
            1285,
            1286,
            1225,
            1286,
            1226,
            1226,
            1286,
            1287,
            1226,
            1287,
            1227,
            1227,
            1287,
            1288,
            1227,
            1288,
            1228,
            1228,
            1288,
            1289,
            1228,
            1289,
            1229,
            1229,
            1289,
            1290,
            1229,
            1290,
            1230,
            1230,
            1290,
            1291,
            1230,
            1291,
            1231,
            1231,
            1291,
            1292,
            1231,
            1292,
            1232,
            1232,
            1292,
            1293,
            1232,
            1293,
            1233,
            1233,
            1293,
            1294,
            1233,
            1294,
            1234,
            1234,
            1294,
            1295,
            1234,
            1295,
            1235,
            1235,
            1295,
            1296,
            1235,
            1296,
            1236,
            1236,
            1296,
            1297,
            1236,
            1297,
            1237,
            1237,
            1297,
            1298,
            1237,
            1298,
            1238,
            1238,
            1298,
            1299,
            1238,
            1299,
            1239,
            1239,
            1299,
            1300,
            1239,
            1300,
            1240,
            1240,
            1300,
            1301,
            1240,
            1301,
            1241,
            1241,
            1301,
            1302,
            1241,
            1302,
            1242,
            1242,
            1302,
            1303,
            1242,
            1303,
            1243,
            1243,
            1303,
            1304,
            1243,
            1304,
            1244,
            1244,
            1304,
            1305,
            1244,
            1305,
            1245,
            1245,
            1305,
            1306,
            1245,
            1306,
            1246,
            1246,
            1306,
            1307,
            1246,
            1307,
            1247,
            1247,
            1307,
            1308,
            1247,
            1308,
            1248,
            1248,
            1308,
            1309,
            1248,
            1309,
            1249,
            1249,
            1309,
            1310,
            1249,
            1310,
            1250,
            1250,
            1310,
            1311,
            1250,
            1311,
            1251,
            1251,
            1311,
            1312,
            1251,
            1312,
            1252,
            1252,
            1312,
            1313,
            1252,
            1313,
            1253,
            1253,
            1313,
            1314,
            1253,
            1314,
            1254,
            1254,
            1314,
            1315,
            1254,
            1315,
            1255,
            1255,
            1315,
            1316,
            1255,
            1316,
            1256,
            1256,
            1316,
            1317,
            1256,
            1317,
            1257,
            1257,
            1317,
            1318,
            1257,
            1318,
            1258,
            1258,
            1318,
            1319,
            1258,
            1319,
            1259,
            1259,
            1319,
            1320,
            1259,
            1320,
            1260,
            1260,
            1320,
            1321,
            1260,
            1321,
            1261,
            1261,
            1321,
            1322,
            1261,
            1322,
            1262,
            1262,
            1322,
            1323,
            1262,
            1323,
            1263,
            1263,
            1323,
            1324,
            1263,
            1324,
            1264,
            1264,
            1324,
            1325,
            1264,
            1325,
            1265,
            1265,
            1325,
            1326,
            1265,
            1326,
            1266,
            1266,
            1326,
            1327,
            1266,
            1327,
            1267,
            1267,
            1327,
            1328,
            1267,
            1328,
            1268,
            1268,
            1328,
            1329,
            1268,
            1329,
            1269,
            1269,
            1329,
            1330,
            1269,
            1330,
            1270,
            1270,
            1330,
            1331,
            1270,
            1331,
            1271,
            1271,
            1331,
            1332,
            1271,
            1332,
            1272,
            1272,
            1332,
            1333,
            1272,
            1333,
            1273,
            1273,
            1333,
            1334,
            1273,
            1334,
            1274,
            1274,
            1334,
            1335,
            1274,
            1335,
            1275,
            1275,
            1335,
            1336,
            1275,
            1336,
            1276,
            1276,
            1336,
            1337,
            1276,
            1337,
            1277,
            1277,
            1337,
            1338,
            1277,
            1338,
            1278,
            1278,
            1338,
            1339,
            1278,
            1339,
            1279,
            1279,
            1339,
            1340,
            1279,
            1340,
            1280,
            1280,
            1340,
            1341,
            1281,
            1342,
            1282,
            1282,
            1342,
            1343,
            1282,
            1343,
            1283,
            1283,
            1343,
            1344,
            1283,
            1344,
            1284,
            1284,
            1344,
            1345,
            1284,
            1345,
            1285,
            1285,
            1345,
            1346,
            1285,
            1346,
            1286,
            1286,
            1346,
            1347,
            1286,
            1347,
            1287,
            1287,
            1347,
            1348,
            1287,
            1348,
            1288,
            1288,
            1348,
            1349,
            1288,
            1349,
            1289,
            1289,
            1349,
            1350,
            1289,
            1350,
            1290,
            1290,
            1350,
            1351,
            1290,
            1351,
            1291,
            1291,
            1351,
            1352,
            1291,
            1352,
            1292,
            1292,
            1352,
            1353,
            1292,
            1353,
            1293,
            1293,
            1353,
            1354,
            1293,
            1354,
            1294,
            1294,
            1354,
            1355,
            1294,
            1355,
            1295,
            1295,
            1355,
            1356,
            1295,
            1356,
            1296,
            1296,
            1356,
            1357,
            1296,
            1357,
            1297,
            1297,
            1357,
            1358,
            1297,
            1358,
            1298,
            1298,
            1358,
            1359,
            1298,
            1359,
            1299,
            1299,
            1359,
            1360,
            1299,
            1360,
            1300,
            1300,
            1360,
            1361,
            1300,
            1361,
            1301,
            1301,
            1361,
            1362,
            1301,
            1362,
            1302,
            1302,
            1362,
            1363,
            1302,
            1363,
            1303,
            1303,
            1363,
            1364,
            1303,
            1364,
            1304,
            1304,
            1364,
            1365,
            1304,
            1365,
            1305,
            1305,
            1365,
            1366,
            1305,
            1366,
            1306,
            1306,
            1366,
            1367,
            1306,
            1367,
            1307,
            1307,
            1367,
            1368,
            1307,
            1368,
            1308,
            1308,
            1368,
            1369,
            1308,
            1369,
            1309,
            1309,
            1369,
            1370,
            1309,
            1370,
            1310,
            1310,
            1370,
            1371,
            1310,
            1371,
            1311,
            1311,
            1371,
            1372,
            1311,
            1372,
            1312,
            1312,
            1372,
            1373,
            1312,
            1373,
            1313,
            1313,
            1373,
            1374,
            1313,
            1374,
            1314,
            1314,
            1374,
            1375,
            1314,
            1375,
            1315,
            1315,
            1375,
            1376,
            1315,
            1376,
            1316,
            1316,
            1376,
            1377,
            1316,
            1377,
            1317,
            1317,
            1377,
            1378,
            1317,
            1378,
            1318,
            1318,
            1378,
            1379,
            1318,
            1379,
            1319,
            1319,
            1379,
            1380,
            1319,
            1380,
            1320,
            1320,
            1380,
            1381,
            1320,
            1381,
            1321,
            1321,
            1381,
            1382,
            1321,
            1382,
            1322,
            1322,
            1382,
            1383,
            1322,
            1383,
            1323,
            1323,
            1383,
            1384,
            1323,
            1384,
            1324,
            1324,
            1384,
            1385,
            1324,
            1385,
            1325,
            1325,
            1385,
            1386,
            1325,
            1386,
            1326,
            1326,
            1386,
            1387,
            1326,
            1387,
            1327,
            1327,
            1387,
            1388,
            1327,
            1388,
            1328,
            1328,
            1388,
            1389,
            1328,
            1389,
            1329,
            1329,
            1389,
            1390,
            1329,
            1390,
            1330,
            1330,
            1390,
            1391,
            1330,
            1391,
            1331,
            1331,
            1391,
            1392,
            1331,
            1392,
            1332,
            1332,
            1392,
            1393,
            1332,
            1393,
            1333,
            1333,
            1393,
            1394,
            1333,
            1394,
            1334,
            1334,
            1394,
            1395,
            1334,
            1395,
            1335,
            1335,
            1395,
            1396,
            1335,
            1396,
            1336,
            1336,
            1396,
            1397,
            1336,
            1397,
            1337,
            1337,
            1397,
            1398,
            1337,
            1398,
            1338,
            1338,
            1398,
            1399,
            1338,
            1399,
            1339,
            1339,
            1399,
            1400,
            1339,
            1400,
            1340,
            1340,
            1400,
            1401,
            1340,
            1401,
            1341,
            1341,
            1401,
            1402,
            1342,
            1403,
            1343,
            1343,
            1403,
            1404,
            1343,
            1404,
            1344,
            1344,
            1404,
            1405,
            1344,
            1405,
            1345,
            1345,
            1405,
            1406,
            1345,
            1406,
            1346,
            1346,
            1406,
            1407,
            1346,
            1407,
            1347,
            1347,
            1407,
            1408,
            1347,
            1408,
            1348,
            1348,
            1408,
            1409,
            1348,
            1409,
            1349,
            1349,
            1409,
            1410,
            1349,
            1410,
            1350,
            1350,
            1410,
            1411,
            1350,
            1411,
            1351,
            1351,
            1411,
            1412,
            1351,
            1412,
            1352,
            1352,
            1412,
            1413,
            1352,
            1413,
            1353,
            1353,
            1413,
            1414,
            1353,
            1414,
            1354,
            1354,
            1414,
            1415,
            1354,
            1415,
            1355,
            1355,
            1415,
            1416,
            1355,
            1416,
            1356,
            1356,
            1416,
            1417,
            1356,
            1417,
            1357,
            1357,
            1417,
            1418,
            1357,
            1418,
            1358,
            1358,
            1418,
            1419,
            1358,
            1419,
            1359,
            1359,
            1419,
            1420,
            1359,
            1420,
            1360,
            1360,
            1420,
            1421,
            1360,
            1421,
            1361,
            1361,
            1421,
            1422,
            1361,
            1422,
            1362,
            1362,
            1422,
            1423,
            1362,
            1423,
            1363,
            1363,
            1423,
            1424,
            1363,
            1424,
            1364,
            1364,
            1424,
            1425,
            1364,
            1425,
            1365,
            1365,
            1425,
            1426,
            1365,
            1426,
            1366,
            1366,
            1426,
            1427,
            1366,
            1427,
            1367,
            1367,
            1427,
            1428,
            1367,
            1428,
            1368,
            1368,
            1428,
            1429,
            1368,
            1429,
            1369,
            1369,
            1429,
            1430,
            1369,
            1430,
            1370,
            1370,
            1430,
            1431,
            1370,
            1431,
            1371,
            1371,
            1431,
            1432,
            1371,
            1432,
            1372,
            1372,
            1432,
            1433,
            1372,
            1433,
            1373,
            1373,
            1433,
            1434,
            1373,
            1434,
            1374,
            1374,
            1434,
            1435,
            1374,
            1435,
            1375,
            1375,
            1435,
            1436,
            1375,
            1436,
            1376,
            1376,
            1436,
            1437,
            1376,
            1437,
            1377,
            1377,
            1437,
            1438,
            1377,
            1438,
            1378,
            1378,
            1438,
            1439,
            1378,
            1439,
            1379,
            1379,
            1439,
            1440,
            1379,
            1440,
            1380,
            1380,
            1440,
            1441,
            1380,
            1441,
            1381,
            1381,
            1441,
            1442,
            1381,
            1442,
            1382,
            1382,
            1442,
            1443,
            1382,
            1443,
            1383,
            1383,
            1443,
            1444,
            1383,
            1444,
            1384,
            1384,
            1444,
            1445,
            1384,
            1445,
            1385,
            1385,
            1445,
            1446,
            1385,
            1446,
            1386,
            1386,
            1446,
            1447,
            1386,
            1447,
            1387,
            1387,
            1447,
            1448,
            1387,
            1448,
            1388,
            1388,
            1448,
            1449,
            1388,
            1449,
            1389,
            1389,
            1449,
            1450,
            1389,
            1450,
            1390,
            1390,
            1450,
            1451,
            1390,
            1451,
            1391,
            1391,
            1451,
            1452,
            1391,
            1452,
            1392,
            1392,
            1452,
            1453,
            1392,
            1453,
            1393,
            1393,
            1453,
            1454,
            1393,
            1454,
            1394,
            1394,
            1454,
            1455,
            1394,
            1455,
            1395,
            1395,
            1455,
            1456,
            1395,
            1456,
            1396,
            1396,
            1456,
            1457,
            1396,
            1457,
            1397,
            1397,
            1457,
            1458,
            1397,
            1458,
            1398,
            1398,
            1458,
            1459,
            1398,
            1459,
            1399,
            1399,
            1459,
            1460,
            1399,
            1460,
            1400,
            1400,
            1460,
            1461,
            1400,
            1461,
            1401,
            1401,
            1461,
            1462,
            1401,
            1462,
            1402,
            1402,
            1462,
            1463,
            1403,
            1464,
            1404,
            1404,
            1464,
            1465,
            1404,
            1465,
            1405,
            1405,
            1465,
            1466,
            1405,
            1466,
            1406,
            1406,
            1466,
            1467,
            1406,
            1467,
            1407,
            1407,
            1467,
            1468,
            1407,
            1468,
            1408,
            1408,
            1468,
            1469,
            1408,
            1469,
            1409,
            1409,
            1469,
            1470,
            1409,
            1470,
            1410,
            1410,
            1470,
            1471,
            1410,
            1471,
            1411,
            1411,
            1471,
            1472,
            1411,
            1472,
            1412,
            1412,
            1472,
            1473,
            1412,
            1473,
            1413,
            1413,
            1473,
            1474,
            1413,
            1474,
            1414,
            1414,
            1474,
            1475,
            1414,
            1475,
            1415,
            1415,
            1475,
            1476,
            1415,
            1476,
            1416,
            1416,
            1476,
            1477,
            1416,
            1477,
            1417,
            1417,
            1477,
            1478,
            1417,
            1478,
            1418,
            1418,
            1478,
            1479,
            1418,
            1479,
            1419,
            1419,
            1479,
            1480,
            1419,
            1480,
            1420,
            1420,
            1480,
            1481,
            1420,
            1481,
            1421,
            1421,
            1481,
            1482,
            1421,
            1482,
            1422,
            1422,
            1482,
            1483,
            1422,
            1483,
            1423,
            1423,
            1483,
            1484,
            1423,
            1484,
            1424,
            1424,
            1484,
            1485,
            1424,
            1485,
            1425,
            1425,
            1485,
            1486,
            1425,
            1486,
            1426,
            1426,
            1486,
            1487,
            1426,
            1487,
            1427,
            1427,
            1487,
            1488,
            1427,
            1488,
            1428,
            1428,
            1488,
            1489,
            1428,
            1489,
            1429,
            1429,
            1489,
            1490,
            1429,
            1490,
            1430,
            1430,
            1490,
            1491,
            1430,
            1491,
            1431,
            1431,
            1491,
            1492,
            1431,
            1492,
            1432,
            1432,
            1492,
            1493,
            1432,
            1493,
            1433,
            1433,
            1493,
            1494,
            1433,
            1494,
            1434,
            1434,
            1494,
            1495,
            1434,
            1495,
            1435,
            1435,
            1495,
            1496,
            1435,
            1496,
            1436,
            1436,
            1496,
            1497,
            1436,
            1497,
            1437,
            1437,
            1497,
            1498,
            1437,
            1498,
            1438,
            1438,
            1498,
            1499,
            1438,
            1499,
            1439,
            1439,
            1499,
            1500,
            1439,
            1500,
            1440,
            1440,
            1500,
            1501,
            1440,
            1501,
            1441,
            1441,
            1501,
            1502,
            1441,
            1502,
            1442,
            1442,
            1502,
            1503,
            1442,
            1503,
            1443,
            1443,
            1503,
            1504,
            1443,
            1504,
            1444,
            1444,
            1504,
            1505,
            1444,
            1505,
            1445,
            1445,
            1505,
            1506,
            1445,
            1506,
            1446,
            1446,
            1506,
            1507,
            1446,
            1507,
            1447,
            1447,
            1507,
            1508,
            1447,
            1508,
            1448,
            1448,
            1508,
            1509,
            1448,
            1509,
            1449,
            1449,
            1509,
            1510,
            1449,
            1510,
            1450,
            1450,
            1510,
            1511,
            1450,
            1511,
            1451,
            1451,
            1511,
            1512,
            1451,
            1512,
            1452,
            1452,
            1512,
            1513,
            1452,
            1513,
            1453,
            1453,
            1513,
            1514,
            1453,
            1514,
            1454,
            1454,
            1514,
            1515,
            1454,
            1515,
            1455,
            1455,
            1515,
            1516,
            1455,
            1516,
            1456,
            1456,
            1516,
            1517,
            1456,
            1517,
            1457,
            1457,
            1517,
            1518,
            1457,
            1518,
            1458,
            1458,
            1518,
            1519,
            1458,
            1519,
            1459,
            1459,
            1519,
            1520,
            1459,
            1520,
            1460,
            1460,
            1520,
            1521,
            1460,
            1521,
            1461,
            1461,
            1521,
            1522,
            1461,
            1522,
            1462,
            1462,
            1522,
            1523,
            1462,
            1523,
            1463,
            1463,
            1523,
            1524,
            1464,
            1525,
            1465,
            1465,
            1525,
            1526,
            1465,
            1526,
            1466,
            1466,
            1526,
            1527,
            1466,
            1527,
            1467,
            1467,
            1527,
            1528,
            1467,
            1528,
            1468,
            1468,
            1528,
            1529,
            1468,
            1529,
            1469,
            1469,
            1529,
            1530,
            1469,
            1530,
            1470,
            1470,
            1530,
            1531,
            1470,
            1531,
            1471,
            1471,
            1531,
            1532,
            1471,
            1532,
            1472,
            1472,
            1532,
            1533,
            1472,
            1533,
            1473,
            1473,
            1533,
            1534,
            1473,
            1534,
            1474,
            1474,
            1534,
            1535,
            1474,
            1535,
            1475,
            1475,
            1535,
            1536,
            1475,
            1536,
            1476,
            1476,
            1536,
            1537,
            1476,
            1537,
            1477,
            1477,
            1537,
            1538,
            1477,
            1538,
            1478,
            1478,
            1538,
            1539,
            1478,
            1539,
            1479,
            1479,
            1539,
            1540,
            1479,
            1540,
            1480,
            1480,
            1540,
            1541,
            1480,
            1541,
            1481,
            1481,
            1541,
            1542,
            1481,
            1542,
            1482,
            1482,
            1542,
            1543,
            1482,
            1543,
            1483,
            1483,
            1543,
            1544,
            1483,
            1544,
            1484,
            1484,
            1544,
            1545,
            1484,
            1545,
            1485,
            1485,
            1545,
            1546,
            1485,
            1546,
            1486,
            1486,
            1546,
            1547,
            1486,
            1547,
            1487,
            1487,
            1547,
            1548,
            1487,
            1548,
            1488,
            1488,
            1548,
            1549,
            1488,
            1549,
            1489,
            1489,
            1549,
            1550,
            1489,
            1550,
            1490,
            1490,
            1550,
            1551,
            1490,
            1551,
            1491,
            1491,
            1551,
            1552,
            1491,
            1552,
            1492,
            1492,
            1552,
            1553,
            1492,
            1553,
            1493,
            1493,
            1553,
            1554,
            1493,
            1554,
            1494,
            1494,
            1554,
            1555,
            1494,
            1555,
            1495,
            1495,
            1555,
            1556,
            1495,
            1556,
            1496,
            1496,
            1556,
            1557,
            1496,
            1557,
            1497,
            1497,
            1557,
            1558,
            1497,
            1558,
            1498,
            1498,
            1558,
            1559,
            1498,
            1559,
            1499,
            1499,
            1559,
            1560,
            1499,
            1560,
            1500,
            1500,
            1560,
            1561,
            1500,
            1561,
            1501,
            1501,
            1561,
            1562,
            1501,
            1562,
            1502,
            1502,
            1562,
            1563,
            1502,
            1563,
            1503,
            1503,
            1563,
            1564,
            1503,
            1564,
            1504,
            1504,
            1564,
            1565,
            1504,
            1565,
            1505,
            1505,
            1565,
            1566,
            1505,
            1566,
            1506,
            1506,
            1566,
            1567,
            1506,
            1567,
            1507,
            1507,
            1567,
            1568,
            1507,
            1568,
            1508,
            1508,
            1568,
            1569,
            1508,
            1569,
            1509,
            1509,
            1569,
            1570,
            1509,
            1570,
            1510,
            1510,
            1570,
            1571,
            1510,
            1571,
            1511,
            1511,
            1571,
            1572,
            1511,
            1572,
            1512,
            1512,
            1572,
            1573,
            1512,
            1573,
            1513,
            1513,
            1573,
            1574,
            1513,
            1574,
            1514,
            1514,
            1574,
            1575,
            1514,
            1575,
            1515,
            1515,
            1575,
            1576,
            1515,
            1576,
            1516,
            1516,
            1576,
            1577,
            1516,
            1577,
            1517,
            1517,
            1577,
            1578,
            1517,
            1578,
            1518,
            1518,
            1578,
            1579,
            1518,
            1579,
            1519,
            1519,
            1579,
            1580,
            1519,
            1580,
            1520,
            1520,
            1580,
            1581,
            1520,
            1581,
            1521,
            1521,
            1581,
            1582,
            1521,
            1582,
            1522,
            1522,
            1582,
            1583,
            1522,
            1583,
            1523,
            1523,
            1583,
            1584,
            1523,
            1584,
            1524,
            1524,
            1584,
            1585,
            1525,
            1586,
            1526,
            1526,
            1586,
            1587,
            1526,
            1587,
            1527,
            1527,
            1587,
            1588,
            1527,
            1588,
            1528,
            1528,
            1588,
            1589,
            1528,
            1589,
            1529,
            1529,
            1589,
            1590,
            1529,
            1590,
            1530,
            1530,
            1590,
            1591,
            1530,
            1591,
            1531,
            1531,
            1591,
            1592,
            1531,
            1592,
            1532,
            1532,
            1592,
            1593,
            1532,
            1593,
            1533,
            1533,
            1593,
            1594,
            1533,
            1594,
            1534,
            1534,
            1594,
            1595,
            1534,
            1595,
            1535,
            1535,
            1595,
            1596,
            1535,
            1596,
            1536,
            1536,
            1596,
            1597,
            1536,
            1597,
            1537,
            1537,
            1597,
            1598,
            1537,
            1598,
            1538,
            1538,
            1598,
            1599,
            1538,
            1599,
            1539,
            1539,
            1599,
            1600,
            1539,
            1600,
            1540,
            1540,
            1600,
            1601,
            1540,
            1601,
            1541,
            1541,
            1601,
            1602,
            1541,
            1602,
            1542,
            1542,
            1602,
            1603,
            1542,
            1603,
            1543,
            1543,
            1603,
            1604,
            1543,
            1604,
            1544,
            1544,
            1604,
            1605,
            1544,
            1605,
            1545,
            1545,
            1605,
            1606,
            1545,
            1606,
            1546,
            1546,
            1606,
            1607,
            1546,
            1607,
            1547,
            1547,
            1607,
            1608,
            1547,
            1608,
            1548,
            1548,
            1608,
            1609,
            1548,
            1609,
            1549,
            1549,
            1609,
            1610,
            1549,
            1610,
            1550,
            1550,
            1610,
            1611,
            1550,
            1611,
            1551,
            1551,
            1611,
            1612,
            1551,
            1612,
            1552,
            1552,
            1612,
            1613,
            1552,
            1613,
            1553,
            1553,
            1613,
            1614,
            1553,
            1614,
            1554,
            1554,
            1614,
            1615,
            1554,
            1615,
            1555,
            1555,
            1615,
            1616,
            1555,
            1616,
            1556,
            1556,
            1616,
            1617,
            1556,
            1617,
            1557,
            1557,
            1617,
            1618,
            1557,
            1618,
            1558,
            1558,
            1618,
            1619,
            1558,
            1619,
            1559,
            1559,
            1619,
            1620,
            1559,
            1620,
            1560,
            1560,
            1620,
            1621,
            1560,
            1621,
            1561,
            1561,
            1621,
            1622,
            1561,
            1622,
            1562,
            1562,
            1622,
            1623,
            1562,
            1623,
            1563,
            1563,
            1623,
            1624,
            1563,
            1624,
            1564,
            1564,
            1624,
            1625,
            1564,
            1625,
            1565,
            1565,
            1625,
            1626,
            1565,
            1626,
            1566,
            1566,
            1626,
            1627,
            1566,
            1627,
            1567,
            1567,
            1627,
            1628,
            1567,
            1628,
            1568,
            1568,
            1628,
            1629,
            1568,
            1629,
            1569,
            1569,
            1629,
            1630,
            1569,
            1630,
            1570,
            1570,
            1630,
            1631,
            1570,
            1631,
            1571,
            1571,
            1631,
            1632,
            1571,
            1632,
            1572,
            1572,
            1632,
            1633,
            1572,
            1633,
            1573,
            1573,
            1633,
            1634,
            1573,
            1634,
            1574,
            1574,
            1634,
            1635,
            1574,
            1635,
            1575,
            1575,
            1635,
            1636,
            1575,
            1636,
            1576,
            1576,
            1636,
            1637,
            1576,
            1637,
            1577,
            1577,
            1637,
            1638,
            1577,
            1638,
            1578,
            1578,
            1638,
            1639,
            1578,
            1639,
            1579,
            1579,
            1639,
            1640,
            1579,
            1640,
            1580,
            1580,
            1640,
            1641,
            1580,
            1641,
            1581,
            1581,
            1641,
            1642,
            1581,
            1642,
            1582,
            1582,
            1642,
            1643,
            1582,
            1643,
            1583,
            1583,
            1643,
            1644,
            1583,
            1644,
            1584,
            1584,
            1644,
            1645,
            1584,
            1645,
            1585,
            1585,
            1645,
            1646,
            1586,
            1647,
            1587,
            1587,
            1647,
            1648,
            1587,
            1648,
            1588,
            1588,
            1648,
            1649,
            1588,
            1649,
            1589,
            1589,
            1649,
            1650,
            1589,
            1650,
            1590,
            1590,
            1650,
            1651,
            1590,
            1651,
            1591,
            1591,
            1651,
            1652,
            1591,
            1652,
            1592,
            1592,
            1652,
            1653,
            1592,
            1653,
            1593,
            1593,
            1653,
            1654,
            1593,
            1654,
            1594,
            1594,
            1654,
            1655,
            1594,
            1655,
            1595,
            1595,
            1655,
            1656,
            1595,
            1656,
            1596,
            1596,
            1656,
            1657,
            1596,
            1657,
            1597,
            1597,
            1657,
            1658,
            1597,
            1658,
            1598,
            1598,
            1658,
            1659,
            1598,
            1659,
            1599,
            1599,
            1659,
            1660,
            1599,
            1660,
            1600,
            1600,
            1660,
            1661,
            1600,
            1661,
            1601,
            1601,
            1661,
            1662,
            1601,
            1662,
            1602,
            1602,
            1662,
            1663,
            1602,
            1663,
            1603,
            1603,
            1663,
            1664,
            1603,
            1664,
            1604,
            1604,
            1664,
            1665,
            1604,
            1665,
            1605,
            1605,
            1665,
            1666,
            1605,
            1666,
            1606,
            1606,
            1666,
            1667,
            1606,
            1667,
            1607,
            1607,
            1667,
            1668,
            1607,
            1668,
            1608,
            1608,
            1668,
            1669,
            1608,
            1669,
            1609,
            1609,
            1669,
            1670,
            1609,
            1670,
            1610,
            1610,
            1670,
            1671,
            1610,
            1671,
            1611,
            1611,
            1671,
            1672,
            1611,
            1672,
            1612,
            1612,
            1672,
            1673,
            1612,
            1673,
            1613,
            1613,
            1673,
            1674,
            1613,
            1674,
            1614,
            1614,
            1674,
            1675,
            1614,
            1675,
            1615,
            1615,
            1675,
            1676,
            1615,
            1676,
            1616,
            1616,
            1676,
            1677,
            1616,
            1677,
            1617,
            1617,
            1677,
            1678,
            1617,
            1678,
            1618,
            1618,
            1678,
            1679,
            1618,
            1679,
            1619,
            1619,
            1679,
            1680,
            1619,
            1680,
            1620,
            1620,
            1680,
            1681,
            1620,
            1681,
            1621,
            1621,
            1681,
            1682,
            1621,
            1682,
            1622,
            1622,
            1682,
            1683,
            1622,
            1683,
            1623,
            1623,
            1683,
            1684,
            1623,
            1684,
            1624,
            1624,
            1684,
            1685,
            1624,
            1685,
            1625,
            1625,
            1685,
            1686,
            1625,
            1686,
            1626,
            1626,
            1686,
            1687,
            1626,
            1687,
            1627,
            1627,
            1687,
            1688,
            1627,
            1688,
            1628,
            1628,
            1688,
            1689,
            1628,
            1689,
            1629,
            1629,
            1689,
            1690,
            1629,
            1690,
            1630,
            1630,
            1690,
            1691,
            1630,
            1691,
            1631,
            1631,
            1691,
            1692,
            1631,
            1692,
            1632,
            1632,
            1692,
            1693,
            1632,
            1693,
            1633,
            1633,
            1693,
            1694,
            1633,
            1694,
            1634,
            1634,
            1694,
            1695,
            1634,
            1695,
            1635,
            1635,
            1695,
            1696,
            1635,
            1696,
            1636,
            1636,
            1696,
            1697,
            1636,
            1697,
            1637,
            1637,
            1697,
            1698,
            1637,
            1698,
            1638,
            1638,
            1698,
            1699,
            1638,
            1699,
            1639,
            1639,
            1699,
            1700,
            1639,
            1700,
            1640,
            1640,
            1700,
            1701,
            1640,
            1701,
            1641,
            1641,
            1701,
            1702,
            1641,
            1702,
            1642,
            1642,
            1702,
            1703,
            1642,
            1703,
            1643,
            1643,
            1703,
            1704,
            1643,
            1704,
            1644,
            1644,
            1704,
            1705,
            1644,
            1705,
            1645,
            1645,
            1705,
            1706,
            1645,
            1706,
            1646,
            1646,
            1706,
            1707,
            1647,
            1708,
            1648,
            1648,
            1708,
            1709,
            1648,
            1709,
            1649,
            1649,
            1709,
            1710,
            1649,
            1710,
            1650,
            1650,
            1710,
            1711,
            1650,
            1711,
            1651,
            1651,
            1711,
            1712,
            1651,
            1712,
            1652,
            1652,
            1712,
            1713,
            1652,
            1713,
            1653,
            1653,
            1713,
            1714,
            1653,
            1714,
            1654,
            1654,
            1714,
            1715,
            1654,
            1715,
            1655,
            1655,
            1715,
            1716,
            1655,
            1716,
            1656,
            1656,
            1716,
            1717,
            1656,
            1717,
            1657,
            1657,
            1717,
            1718,
            1657,
            1718,
            1658,
            1658,
            1718,
            1719,
            1658,
            1719,
            1659,
            1659,
            1719,
            1720,
            1659,
            1720,
            1660,
            1660,
            1720,
            1721,
            1660,
            1721,
            1661,
            1661,
            1721,
            1722,
            1661,
            1722,
            1662,
            1662,
            1722,
            1723,
            1662,
            1723,
            1663,
            1663,
            1723,
            1724,
            1663,
            1724,
            1664,
            1664,
            1724,
            1725,
            1664,
            1725,
            1665,
            1665,
            1725,
            1726,
            1665,
            1726,
            1666,
            1666,
            1726,
            1727,
            1666,
            1727,
            1667,
            1667,
            1727,
            1728,
            1667,
            1728,
            1668,
            1668,
            1728,
            1729,
            1668,
            1729,
            1669,
            1669,
            1729,
            1730,
            1669,
            1730,
            1670,
            1670,
            1730,
            1731,
            1670,
            1731,
            1671,
            1671,
            1731,
            1732,
            1671,
            1732,
            1672,
            1672,
            1732,
            1733,
            1672,
            1733,
            1673,
            1673,
            1733,
            1734,
            1673,
            1734,
            1674,
            1674,
            1734,
            1735,
            1674,
            1735,
            1675,
            1675,
            1735,
            1736,
            1675,
            1736,
            1676,
            1676,
            1736,
            1737,
            1676,
            1737,
            1677,
            1677,
            1737,
            1738,
            1677,
            1738,
            1678,
            1678,
            1738,
            1739,
            1678,
            1739,
            1679,
            1679,
            1739,
            1740,
            1679,
            1740,
            1680,
            1680,
            1740,
            1741,
            1680,
            1741,
            1681,
            1681,
            1741,
            1742,
            1681,
            1742,
            1682,
            1682,
            1742,
            1743,
            1682,
            1743,
            1683,
            1683,
            1743,
            1744,
            1683,
            1744,
            1684,
            1684,
            1744,
            1745,
            1684,
            1745,
            1685,
            1685,
            1745,
            1746,
            1685,
            1746,
            1686,
            1686,
            1746,
            1747,
            1686,
            1747,
            1687,
            1687,
            1747,
            1748,
            1687,
            1748,
            1688,
            1688,
            1748,
            1749,
            1688,
            1749,
            1689,
            1689,
            1749,
            1750,
            1689,
            1750,
            1690,
            1690,
            1750,
            1751,
            1690,
            1751,
            1691,
            1691,
            1751,
            1752,
            1691,
            1752,
            1692,
            1692,
            1752,
            1753,
            1692,
            1753,
            1693,
            1693,
            1753,
            1754,
            1693,
            1754,
            1694,
            1694,
            1754,
            1755,
            1694,
            1755,
            1695,
            1695,
            1755,
            1756,
            1695,
            1756,
            1696,
            1696,
            1756,
            1757,
            1696,
            1757,
            1697,
            1697,
            1757,
            1758,
            1697,
            1758,
            1698,
            1698,
            1758,
            1759,
            1698,
            1759,
            1699,
            1699,
            1759,
            1760,
            1699,
            1760,
            1700,
            1700,
            1760,
            1761,
            1700,
            1761,
            1701,
            1701,
            1761,
            1762,
            1701,
            1762,
            1702,
            1702,
            1762,
            1763,
            1702,
            1763,
            1703,
            1703,
            1763,
            1764,
            1703,
            1764,
            1704,
            1704,
            1764,
            1765,
            1704,
            1765,
            1705,
            1705,
            1765,
            1766,
            1705,
            1766,
            1706,
            1706,
            1766,
            1767,
            1706,
            1767,
            1707,
            1707,
            1767,
            1768,
            1708,
            1769,
            1709,
            1709,
            1769,
            1770,
            1709,
            1770,
            1710,
            1710,
            1770,
            1771,
            1710,
            1771,
            1711,
            1711,
            1771,
            1772,
            1711,
            1772,
            1712,
            1712,
            1772,
            1773,
            1712,
            1773,
            1713,
            1713,
            1773,
            1774,
            1713,
            1774,
            1714,
            1714,
            1774,
            1775,
            1714,
            1775,
            1715,
            1715,
            1775,
            1776,
            1715,
            1776,
            1716,
            1716,
            1776,
            1777,
            1716,
            1777,
            1717,
            1717,
            1777,
            1778,
            1717,
            1778,
            1718,
            1718,
            1778,
            1779,
            1718,
            1779,
            1719,
            1719,
            1779,
            1780,
            1719,
            1780,
            1720,
            1720,
            1780,
            1781,
            1720,
            1781,
            1721,
            1721,
            1781,
            1782,
            1721,
            1782,
            1722,
            1722,
            1782,
            1783,
            1722,
            1783,
            1723,
            1723,
            1783,
            1784,
            1723,
            1784,
            1724,
            1724,
            1784,
            1785,
            1724,
            1785,
            1725,
            1725,
            1785,
            1786,
            1725,
            1786,
            1726,
            1726,
            1786,
            1787,
            1726,
            1787,
            1727,
            1727,
            1787,
            1788,
            1727,
            1788,
            1728,
            1728,
            1788,
            1789,
            1728,
            1789,
            1729,
            1729,
            1789,
            1790,
            1729,
            1790,
            1730,
            1730,
            1790,
            1791,
            1730,
            1791,
            1731,
            1731,
            1791,
            1792,
            1731,
            1792,
            1732,
            1732,
            1792,
            1793,
            1732,
            1793,
            1733,
            1733,
            1793,
            1794,
            1733,
            1794,
            1734,
            1734,
            1794,
            1795,
            1734,
            1795,
            1735,
            1735,
            1795,
            1796,
            1735,
            1796,
            1736,
            1736,
            1796,
            1797,
            1736,
            1797,
            1737,
            1737,
            1797,
            1798,
            1737,
            1798,
            1738,
            1738,
            1798,
            1799,
            1738,
            1799,
            1739,
            1739,
            1799,
            1800,
            1739,
            1800,
            1740,
            1740,
            1800,
            1801,
            1740,
            1801,
            1741,
            1741,
            1801,
            1802,
            1741,
            1802,
            1742,
            1742,
            1802,
            1803,
            1742,
            1803,
            1743,
            1743,
            1803,
            1804,
            1743,
            1804,
            1744,
            1744,
            1804,
            1805,
            1744,
            1805,
            1745,
            1745,
            1805,
            1806,
            1745,
            1806,
            1746,
            1746,
            1806,
            1807,
            1746,
            1807,
            1747,
            1747,
            1807,
            1808,
            1747,
            1808,
            1748,
            1748,
            1808,
            1809,
            1748,
            1809,
            1749,
            1749,
            1809,
            1810,
            1749,
            1810,
            1750,
            1750,
            1810,
            1811,
            1750,
            1811,
            1751,
            1751,
            1811,
            1812,
            1751,
            1812,
            1752,
            1752,
            1812,
            1813,
            1752,
            1813,
            1753,
            1753,
            1813,
            1814,
            1753,
            1814,
            1754,
            1754,
            1814,
            1815,
            1754,
            1815,
            1755,
            1755,
            1815,
            1816,
            1755,
            1816,
            1756,
            1756,
            1816,
            1817,
            1756,
            1817,
            1757,
            1757,
            1817,
            1818,
            1757,
            1818,
            1758,
            1758,
            1818,
            1819,
            1758,
            1819,
            1759,
            1759,
            1819,
            1820,
            1759,
            1820,
            1760,
            1760,
            1820,
            1821,
            1760,
            1821,
            1761,
            1761,
            1821,
            1822,
            1761,
            1822,
            1762,
            1762,
            1822,
            1823,
            1762,
            1823,
            1763,
            1763,
            1823,
            1824,
            1763,
            1824,
            1764,
            1764,
            1824,
            1825,
            1764,
            1825,
            1765,
            1765,
            1825,
            1826,
            1765,
            1826,
            1766,
            1766,
            1826,
            1827,
            1766,
            1827,
            1767,
            1767,
            1827,
            1828,
            1767,
            1828,
            1768,
            1768,
            1828,
            1829,
            1769,
            1830,
            1770,
            1770,
            1830,
            1831,
            1770,
            1831,
            1771,
            1771,
            1831,
            1832,
            1771,
            1832,
            1772,
            1772,
            1832,
            1833,
            1772,
            1833,
            1773,
            1773,
            1833,
            1834,
            1773,
            1834,
            1774,
            1774,
            1834,
            1835,
            1774,
            1835,
            1775,
            1775,
            1835,
            1836,
            1775,
            1836,
            1776,
            1776,
            1836,
            1837,
            1776,
            1837,
            1777,
            1777,
            1837,
            1838,
            1777,
            1838,
            1778,
            1778,
            1838,
            1839,
            1778,
            1839,
            1779,
            1779,
            1839,
            1840,
            1779,
            1840,
            1780,
            1780,
            1840,
            1841,
            1780,
            1841,
            1781,
            1781,
            1841,
            1842,
            1781,
            1842,
            1782,
            1782,
            1842,
            1843,
            1782,
            1843,
            1783,
            1783,
            1843,
            1844,
            1783,
            1844,
            1784,
            1784,
            1844,
            1845,
            1784,
            1845,
            1785,
            1785,
            1845,
            1846,
            1785,
            1846,
            1786,
            1786,
            1846,
            1847,
            1786,
            1847,
            1787,
            1787,
            1847,
            1848,
            1787,
            1848,
            1788,
            1788,
            1848,
            1849,
            1788,
            1849,
            1789,
            1789,
            1849,
            1850,
            1789,
            1850,
            1790,
            1790,
            1850,
            1851,
            1790,
            1851,
            1791,
            1791,
            1851,
            1852,
            1791,
            1852,
            1792,
            1792,
            1852,
            1853,
            1792,
            1853,
            1793,
            1793,
            1853,
            1854,
            1793,
            1854,
            1794,
            1794,
            1854,
            1855,
            1794,
            1855,
            1795,
            1795,
            1855,
            1856,
            1795,
            1856,
            1796,
            1796,
            1856,
            1857,
            1796,
            1857,
            1797,
            1797,
            1857,
            1858,
            1797,
            1858,
            1798,
            1798,
            1858,
            1859,
            1798,
            1859,
            1799,
            1799,
            1859,
            1860,
            1799,
            1860,
            1800,
            1800,
            1860,
            1861,
            1800,
            1861,
            1801,
            1801,
            1861,
            1862,
            1801,
            1862,
            1802,
            1802,
            1862,
            1863,
            1802,
            1863,
            1803,
            1803,
            1863,
            1864,
            1803,
            1864,
            1804,
            1804,
            1864,
            1865,
            1804,
            1865,
            1805,
            1805,
            1865,
            1866,
            1805,
            1866,
            1806,
            1806,
            1866,
            1867,
            1806,
            1867,
            1807,
            1807,
            1867,
            1868,
            1807,
            1868,
            1808,
            1808,
            1868,
            1869,
            1808,
            1869,
            1809,
            1809,
            1869,
            1870,
            1809,
            1870,
            1810,
            1810,
            1870,
            1871,
            1810,
            1871,
            1811,
            1811,
            1871,
            1872,
            1811,
            1872,
            1812,
            1812,
            1872,
            1873,
            1812,
            1873,
            1813,
            1813,
            1873,
            1874,
            1813,
            1874,
            1814,
            1814,
            1874,
            1875,
            1814,
            1875,
            1815,
            1815,
            1875,
            1876,
            1815,
            1876,
            1816,
            1816,
            1876,
            1877,
            1816,
            1877,
            1817,
            1817,
            1877,
            1878,
            1817,
            1878,
            1818,
            1818,
            1878,
            1879,
            1818,
            1879,
            1819,
            1819,
            1879,
            1880,
            1819,
            1880,
            1820,
            1820,
            1880,
            1881,
            1820,
            1881,
            1821,
            1821,
            1881,
            1882,
            1821,
            1882,
            1822,
            1822,
            1882,
            1883,
            1822,
            1883,
            1823,
            1823,
            1883,
            1884,
            1823,
            1884,
            1824,
            1824,
            1884,
            1885,
            1824,
            1885,
            1825,
            1825,
            1885,
            1886,
            1825,
            1886,
            1826,
            1826,
            1886,
            1887,
            1826,
            1887,
            1827,
            1827,
            1887,
            1888,
            1827,
            1888,
            1828,
            1828,
            1888,
            1889,
            1828,
            1889,
            1829,
            1829,
            1889,
            1890
          ],
          "level": 1.9980803697176364,
          "requestedFilling": 0.9946979815693751,
          "requestedVolumeRadius": 0.41159683278480375,
          "displayedVolumeRadius": 0.4115983471540074,
          "overfillOpen": false,
          "relativeVolumeResidual": 3.6792537818630677e-06,
          "angularMesh": [
            30,
            60
          ]
        },
        "stream": {
          "states": [
            [
              0,
              0.13317129926300675,
              0,
              0.01,
              0
            ],
            [
              0.005,
              0.13322132304148848,
              -2.500734107269016e-07,
              0.010010048192371746,
              -0.00010004466525287883
            ],
            [
              0.01,
              0.13327140511612118,
              -1.0006120445079647e-06,
              0.010023319139683524,
              -0.00020018856640490395
            ],
            [
              0.015,
              0.1333215616118797,
              -2.2521492587158205e-06,
              0.010039817524189722,
              -0.00030044657895074716
            ],
            [
              0.02,
              0.1333718086801845,
              -4.0052928612953145e-06,
              0.01005954924221153,
              -0.00040083360921307513
            ],
            [
              0.025,
              0.13342216250497757,
              -6.260725288741293e-06,
              0.010082521406445359,
              -0.0005013646038799616
            ],
            [
              0.03,
              0.1334726393088109,
              -9.019203831799824e-06,
              0.010108742348691632,
              -0.0006020545595572609
            ],
            [
              0.035,
              0.13352325535894968,
              -1.2281560908973853e-05,
              0.010138221623005098,
              -0.0007029185323384236
            ],
            [
              0.04,
              0.1335740269734924,
              -1.6048704387926713e-05,
              0.010170970009268214,
              -0.0008039716473942351
            ],
            [
              0.045,
              0.13362497052750974,
              -2.0321617954889317e-05,
              0.010206999517189076,
              -0.0009052291085849686
            ],
            [
              0.05,
              0.13367610245920467,
              -2.510136153218937e-05,
              0.010246323390725688,
              -0.0010067062080974533
            ],
            [
              0.055,
              0.1337274392760955,
              -3.0389071744033416e-05,
              0.010288956112938463,
              -0.00110841833610956
            ],
            [
              0.06,
              0.13377899756122463,
              -3.6185962430685095e-05,
              0.010334913411273022,
              -0.0012103809904846232
            ],
            [
              0.065,
              0.1338307939793944,
              -4.249332521119563e-05,
              0.010384212263275525,
              -0.0013126097864983274
            ],
            [
              0.07,
              0.13388284528343283,
              -4.9312530094855176e-05,
              0.010436870902742921,
              -0.0014151204666005912
            ],
            [
              0.075,
              0.13393516832049127,
              -5.66450261415464e-05,
              0.010492908826310708,
              -0.0015179289102150058
            ],
            [
              0.08,
              0.13398778003837583,
              -6.449234217119446e-05,
              0.0105523468004809,
              -0.0016210511435783875
            ],
            [
              0.085,
              0.13404069749191527,
              -7.285608752252048e-05,
              0.010615206869093148,
              -0.0017245033496230248
            ],
            [
              0.09,
              0.13409393784936727,
              -8.173795286131823e-05,
              0.010681512361242072,
              -0.001828301877904213
            ],
            [
              0.095,
              0.13414751839886557,
              -9.113971103848736e-05,
              0.010751287899644036,
              -0.0019324632545756866
            ],
            [
              0.1,
              0.1342014565549097,
              -0.00010106321799806879,
              0.01082455940945685,
              -0.002037004192415577
            ],
            [
              0.105,
              0.13425576986490034,
              -0.00011151041373554187,
              0.01090135412755595,
              -0.0021419416009055424
            ],
            [
              0.11,
              0.13431047601572207,
              -0.00012248332330665556,
              0.010981700612270865,
              -0.0022472925963657286
            ],
            [
              0.115,
              0.13436559284037594,
              -0.00013398405788707967,
              0.011065628753585953,
              -0.0023530745121482575
            ],
            [
              0.12,
              0.1344211383246641,
              -0.00014601481588317537,
              0.011153169783809555,
              -0.0024593049088919355
            ],
            [
              0.125,
              0.13447713061392919,
              -0.00015857788409419816,
              0.011244356288715856,
              -0.002566001584840923
            ],
            [
              0.13,
              0.1345335880198505,
              -0.00017167563892625965,
              0.011339222219164087,
              -0.002673182586230105
            ],
            [
              0.135,
              0.13459052902729945,
              -0.0001853105476583888,
              0.011437802903199696,
              -0.002780866217739945
            ],
            [
              0.14,
              0.13464797230125677,
              -0.00019948516976104694,
              0.011540135058642457,
              -0.002889071053023622
            ],
            [
              0.145,
              0.13470593669379383,
              -0.00021420215826746498,
              0.01164625680616661,
              -0.0029978159453092758
            ],
            [
              0.15,
              0.13476444125112078,
              -0.00022946426119818585,
              0.011756207682878347,
              -0.0031071200380802127
            ],
            [
              0.155,
              0.1348235052207035,
              -0.0002452743230392086,
              0.011870028656396196,
              -0.0032170027758359524
            ],
            [
              0.16,
              0.13488314805845264,
              -0.00026163528627414564,
              0.011987762139439974,
              -0.0033274839149370307
            ],
            [
              0.165,
              0.13494338943598647,
              -0.0002785501929708205,
              0.012109452004934311,
              -0.003438583534536492
            ],
            [
              0.17,
              0.13500424924797086,
              -0.0002960221864227445,
              0.012235143601632817,
              -0.0035503220476010462
            ],
            [
              0.17500000000000002,
              0.13506574761953866,
              -0.000314054512845931,
              0.012364883770269345,
              -0.003662720212024887
            ],
            [
              0.18,
              0.13512790491379081,
              -0.0003326505231315157,
              0.01249872086024288,
              -0.003775799141839214
            ],
            [
              0.185,
              0.13519074173938284,
              -0.0003518136746546708,
              0.012636704746842859,
              -0.003889580318520517
            ],
            [
              0.19,
              0.13525427895819822,
              -0.00037154753314031386,
              0.012778886849022024,
              -0.004004085602400736
            ],
            [
              0.195,
              0.13531853769311256,
              -0.0003918557745861282,
              0.012925320147724038,
              -0.004119337244182427
            ],
            [
              0.2,
              0.1353835393358503,
              -0.0004127421872434288,
              0.013076059204773375,
              -0.0042353578965621036
            ],
            [
              0.20500000000000002,
              0.13544930555493762,
              -0.0004342106736564221,
              0.013231160182335262,
              -0.004352170625964988
            ],
            [
              0.21,
              0.13551585830375404,
              -0.00045626525276042394,
              0.013390680862953648,
              -0.004469798924394388
            ],
            [
              0.215,
              0.13558321982868562,
              -0.0004789100620396192,
              0.013554680670175507,
              -0.004588266721399018
            ],
            [
              0.22,
              0.13565141267738268,
              -0.0005021493597449585,
              0.013723220689769887,
              -0.004707598396161578
            ],
            [
              0.225,
              0.1357204597071253,
              -0.0005259875271728084,
              0.013896363691550607,
              -0.004827818789711951
            ],
            [
              0.23,
              0.13579038409329933,
              -0.0005504290710049874,
              0.014074174151811518,
              -0.00494895321726846
            ],
            [
              0.23500000000000001,
              0.13586120933798626,
              -0.000575478625710833,
              0.014256718276383732,
              -0.005071027480710593
            ],
            [
              0.24,
              0.13593295927866977,
              -0.0006011409560119709,
              0.014444064024324344,
              -0.005194067881186747
            ],
            [
              0.245,
              0.13600565809706244,
              -0.0006274209594104661,
              0.014636281132246604,
              -0.005318101231860463
            ],
            [
              0.25,
              0.1360793303280557,
              -0.0006543236687810603,
              0.014833441139301635,
              -0.005443154870798808
            ],
            [
              0.255,
              0.13615400086879634,
              -0.0006818542550282126,
              0.01503561741282219,
              -0.00556925667400648
            ],
            [
              0.26,
              0.13622969498789297,
              -0.0007100180298086839,
              0.015242885174639243,
              -0.005696435068609338
            ],
            [
              0.265,
              0.1363064383347558,
              -0.0007388204483204196,
              0.015455321528082495,
              -0.005824719046191078
            ],
            [
              0.27,
              0.13638425694907286,
              -0.0007682671121585065,
              0.015673005485676177,
              -0.005954138176286813
            ],
            [
              0.275,
              0.13646317727042684,
              -0.0007983637722389982,
              0.01589601799754192,
              -0.006084722620037394
            ],
            [
              0.28,
              0.1365432261480556,
              -0.0008291163317914211,
              0.016124441980520748,
              -0.0062165031440083295
            ],
            [
              0.28500000000000003,
              0.13662443085076004,
              -0.0008605308494207962,
              0.016358362348026605,
              -0.006349511134177215
            ],
            [
              0.29,
              0.13670681907696308,
              -0.0008926135422400256,
              0.016597866040644216,
              -0.006483778610093657
            ],
            [
              0.295,
              0.13679041896492375,
              -0.00092537078907352,
              0.016843042057484364,
              -0.006619338239215688
            ],
            [
              0.3,
              0.13687525910310963,
              -0.0009588091337329567,
              0.017093981488310154,
              -0.00675622335142676
            ],
            [
              0.305,
              0.13696136854073224,
              -0.0009929352883660835,
              0.0173507775464481,
              -0.006894467953737419
            ],
            [
              0.31,
              0.13704877679844862,
              -0.0010277561368795005,
              0.017613525602498337,
              -0.0070341067451758455
            ],
            [
              0.315,
              0.13713751387923373,
              -0.0010632787384363762,
              0.01788232321885862,
              -0.007175175131871478
            ],
            [
              0.32,
              0.1372276102794276,
              -0.0010995103310300735,
              0.018157270185077262,
              -0.0073177092423359884
            ],
            [
              0.325,
              0.137319096999961,
              -0.0011364583351346816,
              0.01843846855405047,
              -0.00746174594294595
            ],
            [
              0.33,
              0.13741200555776464,
              -0.001174130357433477,
              0.01872602267908008,
              -0.007607322853631569
            ],
            [
              0.335,
              0.1375063679973656,
              -0.0012125341946263488,
              0.019020039251808077,
              -0.007754478363775909
            ],
            [
              0.34,
              0.13760221690267566,
              -0.0012516778373172614,
              0.019320627341044797,
              -0.007903251648329102
            ],
            [
              0.34500000000000003,
              0.13769958540897623,
              -0.0012915694739828283,
              0.01962789843250814,
              -0.008053682684142076
            ],
            [
              0.35000000000000003,
              0.13779850721510412,
              -0.0013322174950231183,
              0.019941966469491708,
              -0.008205812266524386
            ],
            [
              0.355,
              0.13789901659584297,
              -0.0013736304968958181,
              0.02026294789448005,
              -0.008359682026030796
            ],
            [
              0.36,
              0.1380011484145254,
              -0.001415817286334911,
              0.020590961691730133,
              -0.008515334445481297
            ],
            [
              0.365,
              0.13810493813585026,
              -0.001458786884655047,
              0.020926129430838214,
              -0.008672812877219304
            ],
            [
              0.37,
              0.13821042183892038,
              -0.0015025485321428116,
              0.021268575311312227,
              -0.008832161560612832
            ],
            [
              0.375,
              0.13831763623050575,
              -0.0015471116925361164,
              0.02161842620817016,
              -0.00899342563980346
            ],
            [
              0.38,
              0.13842661865853714,
              -0.001592486057592965,
              0.021975811718585578,
              -0.009156651181708025
            ],
            [
              0.385,
              0.1385374071258357,
              -0.0016386815517508695,
              0.022340864209602,
              -0.00932188519427794
            ],
            [
              0.39,
              0.13865004030408398,
              -0.0016857083368782176,
              0.022713718866938546,
              -0.009489175645021122
            ],
            [
              0.395,
              0.13876455754804357,
              -0.0017335768171189156,
              0.023094513744909787,
              -0.009658571479791577
            ],
            [
              0.4,
              0.13888099891002526,
              -0.0017822976438316618,
              0.023483389817483647,
              -0.009830122641851688
            ],
            [
              0.405,
              0.13899940515461734,
              -0.00183188172062522,
              0.023880491030501542,
              -0.010003880091212338
            ],
            [
              0.41000000000000003,
              0.13911981777367805,
              -0.001882340208491101,
              0.02428596435508603,
              -0.010179895824255974
            ],
            [
              0.41500000000000004,
              0.1392422790015979,
              -0.0019336845310350792,
              0.024699959842261764,
              -0.010358222893647868
            ],
            [
              0.42,
              0.1393668318308385,
              -0.001985926379808992,
              0.025122630678816343,
              -0.01053891542854072
            ],
            [
              0.425,
              0.13949352002775345,
              -0.0020390777197443117,
              0.025554133244428536,
              -0.010722028655077884
            ],
            [
              0.43,
              0.13962238814869848,
              -0.0020931507946889884,
              0.025994627170092086,
              -0.010907618917200525
            ],
            [
              0.435,
              0.13975348155643677,
              -0.0021481581330491,
              0.02644427539786423,
              -0.011095743697763952
            ],
            [
              0.44,
              0.13988684643684643,
              -0.002204112553536867,
              0.026903244241968903,
              -0.011286461639968498
            ],
            [
              0.445,
              0.140022529815937,
              -0.002261027171026622,
              0.027371703451285537,
              -0.011479832569110263
            ],
            [
              0.45,
              0.1401605795771819,
              -0.002318915402520339,
              0.02784982627325536,
              -0.011675917514657103
            ],
            [
              0.455,
              0.14030104447917405,
              -0.002377790973224372,
              0.028337789519238026,
              -0.011874778732655196
            ],
            [
              0.46,
              0.14044397417361185,
              -0.0024376679227390624,
              0.02883577363135243,
              -0.012076479728471574
            ],
            [
              0.465,
              0.14058941922362328,
              -0.0024985606113629073,
              0.029343962750836762,
              -0.012281085279877984
            ],
            [
              0.47000000000000003,
              0.14073743112243575,
              -0.0025604837265130157,
              0.02986254478796375,
              -0.01248866146048142
            ],
            [
              0.47500000000000003,
              0.1408880623123991,
              -0.002623452289263592,
              0.03039171149354841,
              -0.012699275663506697
            ],
            [
              0.48,
              0.14104136620437072,
              -0.002687481661004226,
              0.03093165853208665,
              -0.012912996625936361
            ],
            [
              0.485,
              0.14119739719747018,
              -0.002752587550219785,
              0.03148258555656446,
              -0.013129894453013238
            ],
            [
              0.49,
              0.14135621069921223,
              -0.0028187860193937377,
              0.03204469628497858,
              -0.01335004064311087
            ],
            [
              0.495,
              0.14151786314602682,
              -0.002886093492036759,
              0.032618198578611,
              -0.013573508112977067
            ],
            [
              0.5,
              0.14168241202417503,
              -0.0029545267598424982,
              0.03320330452210103,
              -0.013800371223355689
            ],
            [
              0.505,
              0.1418499158910697,
              -0.0030241029899724116,
              0.03380023050536008,
              -0.01403070580499179
            ],
            [
              0.51,
              0.1420204343970107,
              -0.003094839732471586,
              0.03440919730737588,
              -0.014264589185025107
            ],
            [
              0.515,
              0.14219402830734368,
              -0.00316675492781752,
              0.03503043018195442,
              -0.01450210021377681
            ],
            [
              0.52,
              0.14237075952505276,
              -0.0032398669146038207,
              0.035664158945449595,
              -0.014743319291934348
            ],
            [
              0.525,
              0.1425506911137967,
              -0.0033141944373608397,
              0.0363106180665322,
              -0.014988328398139123
            ],
            [
              0.53,
              0.1427338873213994,
              -0.0033897566545152574,
              0.03697004675805179,
              -0.01523721111698149
            ],
            [
              0.535,
              0.1429204136038049,
              -0.0034665731464906717,
              0.03764268907104672,
              -0.01549005266740761
            ],
            [
              0.54,
              0.1431103366495078,
              -0.0035446639239512623,
              0.03832879399095979,
              -0.01574693993154236
            ],
            [
              0.545,
              0.14330372440447073,
              -0.003624049436190616,
              0.03902861553611879,
              -0.01600796148393241
            ],
            [
              0.55,
              0.1435006460975395,
              -0.0037047505796678243,
              0.03974241285854343,
              -0.016273207621213374
            ],
            [
              0.555,
              0.14370117226636897,
              -0.0037867887066929864,
              0.04047045034714261,
              -0.01654277039220467
            ],
            [
              0.56,
              0.14390537478387014,
              -0.003870185634264265,
              0.04121299773336791,
              -0.016816743628435576
            ],
            [
              0.5650000000000001,
              0.14411332688519263,
              -0.003954963653058653,
              0.041970330199391975,
              -0.017095222975105556
            ],
            [
              0.5700000000000001,
              0.14432510319525388,
              -0.004041145536578636,
              0.04274272848888287,
              -0.01737830592248186
            ],
            [
              0.5750000000000001,
              0.14454077975682916,
              -0.004128754550456943,
              0.04353047902044829,
              -0.01766609183773679
            ],
            [
              0.58,
              0.14476043405921565,
              -0.004217814461921581,
              0.04433387400382607,
              -0.017958681997227006
            ],
            [
              0.585,
              0.1449841450674844,
              -0.004308349549423383,
              0.0451532115589006,
              -0.01825617961921654
            ],
            [
              0.59,
              0.1452119932523346,
              -0.004400384612428277,
              0.04598879583762792,
              -0.018558689897045094
            ],
            [
              0.595,
              0.14544406062056509,
              -0.004493944981376516,
              0.04684093714895499,
              -0.018866320032742433
            ],
            [
              0.6,
              0.14568043074617784,
              -0.004589056527811097,
              0.04770995208682279,
              -0.019179179271089492
            ],
            [
              0.605,
              0.14592118880212968,
              -0.004685745674677594,
              0.04859616366134561,
              -0.019497378934126054
            ],
            [
              0.61,
              0.1461664215927479,
              -0.004784039406797656,
              0.049499901433263334,
              -0.01982103245610442
            ],
            [
              0.615,
              0.1464162175868264,
              -0.004883965281518378,
              0.050421501651766905,
              -0.02015025541888786
            ],
            [
              0.62,
              0.14667066695141984,
              -0.0049855514395397765,
              0.051361307395801595,
              -0.020485165587791895
            ],
            [
              0.625,
              0.14692986158635302,
              -0.0050888266159225745,
              0.05231966871895677,
              -0.02082588294786582
            ],
            [
              0.63,
              0.14719389515946418,
              -0.00519382015127848,
              0.053296942798055455,
              -0.02117252974061108
            ],
            [
              0.635,
              0.14746286314260043,
              -0.005300562003145145,
              0.05429349408556187,
              -0.02152523050113217
            ],
            [
              0.64,
              0.14773686284838514,
              -0.005409082757547954,
              0.055309694465929794,
              -0.021884112095715058
            ],
            [
              0.645,
              0.14801599346777738,
              -0.005519413640750754,
              0.05634592341602013,
              -0.02224930375982686
            ],
            [
              0.65,
              0.14830035610844344,
              -0.0056315865311976215,
              0.057402568169721446,
              -0.02262093713652968
            ],
            [
              0.655,
              0.14859005383396282,
              -0.005745633971647725,
              0.058480023886913084,
              -0.02299914631530028
            ],
            [
              0.66,
              0.14888519170388975,
              -0.005861589181505271,
              0.05957869382691639,
              -0.023384067871246025
            ],
            [
              0.665,
              0.14918587681469375,
              -0.005979486069346504,
              0.06069898952658645,
              -0.023775840904706344
            ],
            [
              0.67,
              0.1494922183416024,
              -0.00609935924564565,
              0.06184133098320283,
              -0.024174607081227383
            ],
            [
              0.675,
              0.14980432758137102,
              -0.006221244035701638,
              0.06300614684232567,
              -0.024580510671896125
            ],
            [
              0.68,
              0.15012231799600456,
              -0.006345176492767362,
              0.06419387459079026,
              -0.024993698594018607
            ],
            [
              0.685,
              0.15044630525745725,
              -0.006471193411383156,
              0.06540496075502181,
              -0.025414320452125033
            ],
            [
              0.6900000000000001,
              0.15077640729333783,
              -0.006599332340916072,
              0.0666398611048599,
              -0.025842528579282858
            ],
            [
              0.6950000000000001,
              0.1511127443336482,
              -0.0067296315993064515,
              0.06789904086309113,
              -0.026278478078696783
            ],
            [
              0.7000000000000001,
              0.1514554389585841,
              -0.006862130287023169,
              0.06918297492089814,
              -0.026722326865572382
            ],
            [
              0.705,
              0.15180461614742846,
              -0.006996868301228794,
              0.07049214805944173,
              -0.027174235709217988
            ],
            [
              0.71,
              0.1521604033285685,
              -0.007133886350155805,
              0.07182705517780495,
              -0.027634368275356667
            ],
            [
              0.715,
              0.15252293043066897,
              -0.007273225967694823,
              0.07318820152753706,
              -0.02810289116861774
            ],
            [
              0.72,
              0.1528923299350349,
              -0.007414929528195683,
              0.07457610295404829,
              -0.028579973975174117
            ],
            [
              0.725,
              0.15326873692919923,
              -0.007559040261481982,
              0.07599128614511742,
              -0.02906578930548893
            ],
            [
              0.73,
              0.15365228916177123,
              -0.0077056022680795505,
              0.07743428888678772,
              -0.0295605128371314
            ],
            [
              0.735,
              0.15404312709858362,
              -0.007854660534659082,
              0.0789056603269399,
              -0.030064323357618453
            ],
            [
              0.74,
              0.15444139398017703,
              -0.008006260949692947,
              0.08040596124684556,
              -0.030577402807234737
            ],
            [
              0.745,
              0.15484723588066326,
              -0.00816045031932593,
              0.08193576434101933,
              -0.031099936321779643
            ],
            [
              0.75,
              0.15526080176800894,
              -0.00831727638345943,
              0.08349565450570426,
              -0.03163211227518541
            ],
            [
              0.755,
              0.15568224356578403,
              -0.008476787832048275,
              0.085086229136342,
              -0.03217412232194594
            ],
            [
              0.76,
              0.15611171621642092,
              -0.008639034321609096,
              0.08670809843439725,
              -0.03272616143929051
            ],
            [
              0.765,
              0.1565493777460318,
              -0.008804066491938762,
              0.08836188572392502,
              -0.03328842796903158
            ],
            [
              0.77,
              0.15699538933083412,
              -0.008971935983041109,
              0.09004822777828947,
              -0.033861123659009645
            ],
            [
              0.775,
              0.15744991536523587,
              -0.009142695452259682,
              0.09176777515746462,
              -0.03444445370405211
            ],
            [
              0.78,
              0.15791312353163478,
              -0.0093163985916139,
              0.09352119255636969,
              -0.03503862678635633
            ],
            [
              0.785,
              0.15838518487198772,
              -0.009493100145335472,
              0.095309159164716,
              -0.03564385511519968
            ],
            [
              0.79,
              0.15886627386120927,
              -0.009672855927601483,
              0.09713236903886803,
              -0.036260354465871926
            ],
            [
              0.795,
              0.15935656848246066,
              -0.009855722840459947,
              0.09899153148624819,
              -0.036888344217716716
            ],
            [
              0.8,
              0.15985625030439315,
              -0.010041758891943111,
              0.10088737146284335,
              -0.03752804739115998
            ],
            [
              0.805,
              0.16036550456041307,
              -0.010231023214363063,
              0.10282062998440232,
              -0.03817969068359366
            ],
            [
              0.81,
              0.1608845202300383,
              -0.010423576082783634,
              0.10479206455194537,
              -0.03884350450397257
            ],
            [
              0.8150000000000001,
              0.16141349012241954,
              -0.010619478933661735,
              0.1068024495922415,
              -0.039519723005971244
            ],
            [
              0.8200000000000001,
              0.16195261096210253,
              -0.010818794383650535,
              0.10885257691394581,
              -0.04020858411953557
            ],
            [
              0.8250000000000001,
              0.16250208347711204,
              -0.011021586248556032,
              0.11094325618012842,
              -0.04091032958065116
            ],
            [
              0.8300000000000001,
              0.1630621124894406,
              -0.011227919562437585,
              0.1130753153979672,
              -0.041625204959136713
            ],
            [
              0.835,
              0.1636329070080308,
              -0.011437860596842073,
              0.1152496014264218,
              -0.04235345968425524
            ],
            [
              0.84,
              0.16421468032434233,
              -0.011651476880160178,
              0.1174669805027519,
              -0.043095347067920654
            ],
            [
              0.845,
              0.16480765011060067,
              -0.011868837217092204,
              0.11972833878879384,
              -0.04385112432525944
            ],
            [
              0.85,
              0.16541203852082886,
              -0.01209001170820954,
              0.1220345829379623,
              -0.04462105259226854
            ],
            [
              0.855,
              0.16602807229476776,
              -0.012315071769596606,
              0.12438664068400059,
              -0.045405396940290735
            ],
            [
              0.86,
              0.1666559828647971,
              -0.012544090152556553,
              0.12678546145256364,
              -0.046204426387006975
            ],
            [
              0.865,
              0.16729600646597342,
              -0.012777140963362606,
              0.12923201699678225,
              -0.04701841390362181
            ],
            [
              0.87,
              0.167948384249309,
              -0.013014299683035035,
              0.1317273020580255,
              -0.04784763641789287
            ],
            [
              0.875,
              0.16861336239841943,
              -0.013255643187122152,
              0.13427233505315253,
              -0.048692374812628135
            ],
            [
              0.88,
              0.16929119224967726,
              -0.013501249765461605,
              0.13686815878962277,
              -0.04955291391924545
            ],
            [
              0.885,
              0.1699821304160134,
              -0.013751199141896216,
              0.1395158412099169,
              -0.05042954250595685
            ],
            [
              0.89,
              0.1706864389145172,
              -0.01400557249391634,
              0.1422164761668118,
              -0.05132255326010616
            ],
            [
              0.895,
              0.1714043852979935,
              -0.014264452472198241,
              0.14497118423114697,
              -0.052232242764151116
            ],
            [
              0.9,
              0.17213624279064332,
              -0.014527923220005347,
              0.14778111353382323,
              -0.053158911464741145
            ],
            [
              0.905,
              0.17288229042804384,
              -0.01479607039241642,
              0.15064744064388352,
              -0.05410286363429865
            ],
            [
              0.91,
              0.1736428132016133,
              -0.015068981175341565,
              0.15357137148464337,
              -0.05506440732446456
            ],
            [
              0.915,
              0.17441810220775564,
              -0.015346744304283686,
              0.1565541422899642,
              -0.05604385431071785
            ],
            [
              0.92,
              0.17520845480189198,
              -0.01562945008279947,
              0.15959702060289666,
              -0.0570415200274238
            ],
            [
              0.925,
              0.17601417475759573,
              -0.01591719040060998,
              0.16270130631906682,
              -0.058057723492505625
            ],
            [
              0.93,
              0.17683557243106177,
              -0.016210058751306895,
              0.16586833277733168,
              -0.05909278722086933
            ],
            [
              0.935,
              0.17767296493115298,
              -0.016508150249595788,
              0.1690994679003976,
              -0.06014703712564096
            ],
            [
              0.9400000000000001,
              0.17852667629528024,
              -0.01681156164801304,
              0.17239611538827349,
              -0.06122080240619896
            ],
            [
              0.9450000000000001,
              0.1793970376713885,
              -0.01712039135304763,
              0.17575971596762274,
              -0.062314415421900755
            ],
            [
              0.9500000000000001,
              0.1802843875063361,
              -0.0174347394405933,
              0.17919174870028354,
              -0.06342821155031245
            ],
            [
              0.9550000000000001,
              0.18118907174097137,
              -0.017754707670650495,
              0.1826937323544497,
              -0.06456252902865159
            ],
            [
              0.96,
              0.18211144401223026,
              -0.018080399501190655,
              0.18626722684224292,
              -0.06571770877704589
            ],
            [
              0.965,
              0.18305186586259548,
              -0.018411920101088202,
              0.18991383472766465,
              -0.06689409420209325
            ],
            [
              0.97,
              0.18401070695728033,
              -0.018749376362017678,
              0.19363520280919155,
              -0.06809203097908156
            ],
            [
              0.975,
              0.18498834530952166,
              -0.01909287690920499,
              0.19743302378158004,
              -0.06931186681108685
            ],
            [
              0.98,
              0.1859851675143899,
              -0.019442532110912295,
              0.20130903798176492,
              -0.07055395116301659
            ],
            [
              0.985,
              0.18700156899154963,
              -0.01979845408652617,
              0.20526503522408732,
              -0.07181863496849876
            ],
            [
              0.99,
              0.18803795423743136,
              -0.020160756713107627,
              0.20930285673046212,
              -0.07310627030733573
            ],
            [
              0.995,
              0.18909473708730362,
              -0.02052955563025065,
              0.21342439716150144,
              -0.07441721005104271
            ],
            [
              1,
              0.1901723409877669,
              -0.0209049682430831,
              0.21763160675505103,
              -0.07575180747377346
            ],
            [
              1.0050000000000001,
              0.1912711992802226,
              -0.021287113723229646,
              0.2219264935790721,
              -0.07711041582569633
            ],
            [
              1.01,
              0.19239175549590812,
              -0.021676113007541072,
              0.22631112590631672,
              -0.07849338786562293
            ],
            [
              1.0150000000000001,
              0.19353446366312602,
              -0.022072088794377696,
              0.2307876347188034,
              -0.07990107534940331
            ],
            [
              1.02,
              0.19469978862733822,
              -0.02247516553721629,
              0.23535821635070692,
              -0.08133382847028635
            ],
            [
              1.025,
              0.19588820638483945,
              -0.02288546943533021,
              0.24002513527893368,
              -0.08279199524709654
            ],
            [
              1.03,
              0.19710020443077375,
              -0.023303128421270542,
              0.2447907270713694,
              -0.08427592085569607
            ],
            [
              1.035,
              0.1983362821223086,
              -0.02372827214485254,
              0.2496574015035643,
              -0.08578594689878008
            ],
            [
              1.04,
              0.1995969510578375,
              -0.024161031953325755,
              0.2546276458554663,
              -0.08732241060858874
            ],
            [
              1.045,
              0.2008827354731421,
              -0.0246015408673777,
              0.25970402840073586,
              -0.0888856439766073
            ],
            [
              1.05,
              0.20219417265551065,
              -0.02504993355259016,
              0.26488920210217876,
              -0.09047597280375942
            ],
            [
              1.055,
              0.20353181337687906,
              -0.02550634628593295,
              0.27018590852793295,
              -0.09209371566397284
            ],
            [
              1.06,
              0.2048962223471373,
              -0.025970916916842803,
              0.2755969820042387,
              -0.09373918277330427
            ],
            [
              1.065,
              0.20628797868882678,
              -0.026443784822394123,
              0.2811253540219329,
              -0.09541267475604236
            ],
            [
              1.07,
              0.2077076764345427,
              -0.0269250908560232,
              0.28677405791523775,
              -0.09711448129835652
            ],
            [
              1.075,
              0.2091559250484528,
              -0.027414977289218115,
              0.2925462338329828,
              -0.09884487967911428
            ],
            [
              1.08,
              0.2106333499734485,
              -0.027913587745532136,
              0.2984451340241162,
              -0.1006041331664391
            ],
            [
              1.085,
              0.21214059320555823,
              -0.028421067126218193,
              0.3044741284612462,
              -0.10239248926741182
            ],
            [
              1.09,
              0.21367831389737676,
              -0.028937561526716116,
              0.31063671082802435,
              -0.1042101778170165
            ],
            [
              1.095,
              0.21524718899239959,
              -0.029463218143151018,
              0.31693650489845615,
              -0.10605740889097909
            ],
            [
              1.1,
              0.21684791389229607,
              -0.029998185167920622,
              0.32337727133873156,
              -0.10793437052552575
            ],
            [
              1.105,
              0.2184812031593177,
              -0.030542611673359952,
              0.32996291496492514,
              -0.10984122622527424
            ],
            [
              1.11,
              0.22014779125620912,
              -0.031096647482372872,
              0.33669749249295916,
              -0.1117781122384426
            ],
            [
              1.115,
              0.22184843332618182,
              -0.031660443024810386,
              0.343585220820585,
              -0.11374513457628421
            ],
            [
              1.12,
              0.2235839060157177,
              -0.03223414917825386,
              0.35063048588485096,
              -0.11574236575110583
            ],
            [
              1.125,
              0.22535500834319686,
              -0.03281791709172593,
              0.35783785214263764,
              -0.11776984120435595
            ],
            [
              1.1300000000000001,
              0.227162562616593,
              -0.03341189799070176,
              0.36521207272639766,
              -0.11982755539304206
            ],
            [
              1.135,
              0.22900741540375413,
              -0.034016242961625226,
              0.3727581003322913,
              -0.12191545749909756
            ],
            [
              1.1400000000000001,
              0.23089043855908406,
              -0.034631102713947974,
              0.3804810989035259,
              -0.12403344672221199
            ],
            [
              1.145,
              0.23281253031077123,
              -0.03525662731750045,
              0.38838645617795314,
              -0.12618136711199798
            ],
            [
              1.1500000000000001,
              0.23477461641307307,
              -0.03589296591277038,
              0.39647979717593607,
              -0.12835900189011373
            ],
            [
              1.155,
              0.23677765136856305,
              -0.036540266391402815,
              0.40476699871225885,
              -0.13056606720700387
            ],
            [
              1.16,
              0.23882261972568808,
              -0.037198675043942545,
              0.4132542050245193,
              -0.13280220527115705
            ],
            [
              1.165,
              0.2409105374574697,
              -0.037868336171510496,
              0.42194784462013973,
              -0.1350669767810842
            ],
            [
              1.17,
              0.24304245342771988,
              -0.03854939165773505,
              0.43085464845499166,
              -0.13735985258145475
            ],
            [
              1.175,
              0.24521945095173678,
              -0.03924198049684226,
              0.43998166956881496,
              -0.1396802044548203
            ],
            [
              1.18,
              0.24744264945910632,
              -0.039946238273337785,
              0.4493363043162979,
              -0.14202729494891284
            ],
            [
              1.185,
              0.24971320626696583,
              -0.04066229658818168,
              0.45892631534809414,
              -0.144400266126395
            ],
            [
              1.19,
              0.25203231847290136,
              -0.04139028242575436,
              0.4687598565134143,
              -0.1467981271088927
            ],
            [
              1.195,
              0.2544012249775562,
              -0.04213031745522938,
              0.47884549987543734,
              -0.1492197402698348
            ],
            [
              1.2,
              0.2568212086480377,
              -0.04288251725919228,
              0.4891922650529607,
              -0.15166380591068152
            ],
            [
              1.205,
              0.25929359863433965,
              -0.04364699048146175,
              0.49980965112683134,
              -0.15412884523209155
            ],
            [
              1.21,
              0.26181977285225844,
              -0.04442383788506189,
              0.5107076713782145,
              -0.15661318138492392
            ],
            [
              1.215,
              0.26440116064769686,
              -0.04521315131014365,
              0.5218968911581812,
              -0.1591149183550509
            ],
            [
              1.22,
              0.2670392456588365,
              -0.04601501252033555,
              0.5333884692250378,
              -0.16163191740001537
            ],
            [
              1.225,
              0.26973556889444555,
              -0.046829491924492386,
              0.5451942029279829,
              -0.16416177071367463
            ],
            [
              1.23,
              0.27249173204859894,
              -0.0476566471590715,
              0.5573265776639095,
              -0.1667017719460368
            ],
            [
              1.235,
              0.2753094010743569,
              -0.04849652151436351,
              0.5697988210894396,
              -0.16924888314817932
            ],
            [
              1.24,
              0.27819031004151423,
              -0.04934914218548948,
              0.5826249626337674,
              -0.17179969764483272
            ],
            [
              1.245,
              0.281136265306438,
              -0.05021451832639709,
              0.5958198989309492,
              -0.17435039825795745
            ],
            [
              1.25,
              0.28414915002531027,
              -0.05109263888197748,
              0.6093994658745683,
              -0.17689671021105552
            ],
            [
              1.2550000000000001,
              0.2872309290458457,
              -0.05198347016980385,
              0.6233805180951544,
              -0.17943384793312206
            ],
            [
              1.26,
              0.29038365421682955,
              -0.05288695317876792,
              0.637781016773666,
              -0.18195645484948125
            ],
            [
              1.2650000000000001,
              0.2936094701597097,
              -0.05380300054694586,
              0.6526201268355332,
              -0.18445853508985438
            ],
            [
              1.27,
              0.2969106205520691,
              -0.05473149317522217,
              0.6679183247225177,
              -0.18693337585643413
            ],
            [
              1.2750000000000001,
              0.30028945497922765,
              -0.055672276426368406,
              0.6836975181179927,
              -0.1893734589697155
            ],
            [
              1.28,
              0.30374843641760574,
              -0.056625155851206595,
              0.699981179209971,
              -0.19177035983894145
            ],
            [
              1.285,
              0.3072901494220025,
              -0.05758989237392886,
              0.7167944933211605,
              -0.1941146317766956
            ],
            [
              1.29,
              0.3109173090987869,
              -0.05856619685728234,
              0.7341645250235402,
              -0.1963956731801538
            ],
            [
              1.295,
              0.31463277095841397,
              -0.059553723954772375,
              0.7521204041950078,
              -0.19860157461801775
            ],
            [
              1.3,
              0.31843954175394423,
              -0.06055206514080381,
              0.7706935348779934,
              -0.20071894227091855
            ],
            [
              1.305,
              0.32234079142770367,
              -0.06156074079016701,
              0.7899178302773086,
              -0.20273269344693254
            ],
            [
              1.31,
              0.32633986630628437,
              -0.06257919115472244,
              0.8098299778025185,
              -0.20462581899796436
            ],
            [
              1.315,
              0.330440303705259,
              -0.06360676605659081,
              0.8304697387379465,
              -0.20637910635218895
            ],
            [
              1.32,
              0.33464584812986337,
              -0.06464271308240091,
              0.8518802879345546,
              -0.20797081549422158
            ],
            [
              1.325,
              0.3389604692872313,
              -0.06568616402063795,
              0.874108599891417,
              -0.2093762984921362
            ],
            [
              1.33,
              0.34338838216044393,
              -0.06673611923188964,
              0.8972058887659806,
              -0.2105675509889832
            ],
            [
              1.335,
              0.3479340694357721,
              -0.06779142957724356,
              0.921228111265897,
              -0.21151268131400872
            ],
            [
              1.34,
              0.35260230662339515,
              -0.06885077544992652,
              0.9462365430851525,
              -0.21217527934956723
            ],
            [
              1.345,
              0.3573981902702065,
              -0.06991264235515046,
              0.9722984416203684,
              -0.2125136627780554
            ],
            [
              1.35,
              0.3623271697330883,
              -0.07097529235732013,
              0.99948781022135,
              -0.2124799725106592
            ],
            [
              1.355,
              0.36739508306471474,
              -0.0720367305546861,
              1.027886282293012,
              -0.21201908153265642
            ],
            [
              1.36,
              0.37260819766454323,
              -0.0730946655390588,
              1.0575841472938954,
              -0.21106727149291424
            ],
            [
              1.365,
              0.37797325646884966,
              -0.07414646253868579,
              1.0886815452120182,
              -0.20955061829293373
            ],
            [
              1.37,
              0.3834975305998937,
              -0.07518908760728879,
              1.1212898616055882,
              -0.20738301053936492
            ],
            [
              1.375,
              0.38918887957086173,
              -0.07621904078612557,
              1.155533361953325,
              -0.204463701383635
            ],
            [
              1.3800000000000001,
              0.39505582035633563,
              -0.07723227559357464,
              1.191551112044135,
              -0.20067426265760685
            ],
            [
              1.385,
              0.40110760689468034,
              -0.07822410143889835,
              1.2294992405850584,
              -0.19587476696996475
            ],
            [
              1.3900000000000001,
              0.40735432189636506,
              -0.07918906454391347,
              1.2695536111338797,
              -0.18989896365796943
            ],
            [
              1.395,
              0.4138069831977183,
              -0.08012080158876764,
              1.3119129825973526,
              -0.18254813096017633
            ],
            [
              1.4000000000000001,
              0.4204776673271596,
              -0.08101185843187257,
              1.3568027500019737,
              -0.17358316866450513
            ],
            [
              1.405,
              0.4273796534376546,
              -0.08185346367821895,
              1.4044793679409584,
              -0.1627143263775215
            ],
            [
              1.41,
              0.4345275912862238,
              -0.0826352432712658,
              1.455235563496228,
              -0.1495877172030711
            ],
            [
              1.415,
              0.44193769745669387,
              -0.08334485718896324,
              1.5094064342043467,
              -0.13376740558594913
            ],
            [
              1.42,
              0.4496279844058573,
              -0.08396753201174056,
              1.5673764810016437,
              -0.11471131886065578
            ],
            [
              1.425,
              0.45761852691057886,
              -0.08448545247708904,
              1.6295875084593208,
              -0.0917384139669881
            ],
            [
              1.43,
              0.4659317695773716,
              -0.08487695936969396,
              1.696547059517071,
              -0.06398326911101453
            ],
            [
              1.435,
              0.47459287617139645,
              -0.08511547737405305,
              1.7688364861577532,
              -0.030332291155003882
            ],
            [
              1.44,
              0.4836301144313216,
              -0.08516806019995593,
              1.8471165751891405,
              0.010667427730259207
            ],
            [
              1.445,
              0.4930752542227016,
              -0.08499338370272484,
              1.9321261847672495,
              0.06094068994657682
            ],
            [
              1.45,
              0.5029639228167709,
              -0.08453892800520824,
              2.0246641687969706,
              0.12308071091616717
            ],
            [
              1.455,
              0.5133357883026574,
              -0.08373694517603568,
              2.1255337939915857,
              0.20064602703199097
            ],
            [
              1.46,
              0.5242342855401221,
              -0.08249857394372272,
              2.2354046281099866,
              0.2986172486559911
            ],
            [
              1.465,
              0.5357052562846174,
              -0.08070508071926547,
              2.354492427212264,
              0.42410969371492924
            ],
            [
              1.47,
              0.5477931073004031,
              -0.0781946026495515,
              2.481831792255661,
              0.58748907475657
            ],
            [
              1.475,
              0.5605313283675779,
              -0.07474191522357546,
              2.613620003530114,
              0.8040759803287428
            ],
            [
              1.4756184846628457,
              0.562152830185193,
              -0.07423492414717636,
              2.6298317733840113,
              0.8355817013154558
            ]
          ],
          "initialJacobi": 3.983059001959702,
          "maximumJacobiError": 1.0077448190978092e-08,
          "ending": "supplied-companion-surface",
          "duration": 1.4756184846628457,
          "step": 0.001,
          "companionRadius": 0.08077788179999999,
          "ownerExclusionRadius": 0.06,
          "timeMeaning": "Frozen current-binary orbital angular-frequency units; independent of removed mass",
          "masslessTestTrajectories": true
        },
        "adiabatic": {
          "status": "local-detachment",
          "stellarResponse": 4,
          "exactHull": [
            1.4612742367180764,
            1.4612746572479218
          ],
          "fittedLobeResponse": 1.4543000050097077,
          "exactLobeResponse": 1.4612744469829992,
          "signedMargin": 2.538725342752078,
          "numericalCertificate": false
        },
        "thermal": {
          "status": "growing-overfill",
          "stellarResponse": 0.8,
          "exactHull": [
            1.4612742367180764,
            1.4612746572479218
          ],
          "fittedLobeResponse": 1.4543000050097077,
          "exactLobeResponse": 1.4612744469829992,
          "signedMargin": -0.6543000050097076,
          "numericalCertificate": false
        },
        "showsOverflowTracers": false,
        "massSequence": [
          {
            "fraction": 0,
            "removed": 0,
            "donor": 1.5,
            "accretor": 1,
            "escapedMass": 0,
            "massRatio": 1.5,
            "separation": 1,
            "periodRatio": 1,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.75,
            "orbitalEnergyChange": 0,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0008,
            "removed": 0.0012000000000000001,
            "donor": 1.4988,
            "accretor": 1.0012,
            "escapedMass": 0,
            "massRatio": 1.4970035956851775,
            "separation": 0.9992023974447302,
            "periodRatio": 0.9988038347625064,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.750898198321729,
            "orbitalEnergyChange": -0.0008981983217289935,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0016,
            "removed": 0.0024000000000000002,
            "donor": 1.4976,
            "accretor": 1.0024,
            "escapedMass": 0,
            "massRatio": 1.4940143655227456,
            "separation": 0.9984095795955936,
            "periodRatio": 0.9976153181838683,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7517927865876746,
            "orbitalEnergyChange": -0.0017927865876745663,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0024,
            "removed": 0.0036,
            "donor": 1.4964,
            "accretor": 1.0036,
            "escapedMass": 0,
            "massRatio": 1.4910322837783976,
            "separation": 0.997621531262234,
            "periodRatio": 0.9964344191526324,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.752683754780169,
            "orbitalEnergyChange": -0.002683754780169023,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0032,
            "removed": 0.0048000000000000004,
            "donor": 1.4952,
            "accretor": 1.0048,
            "escapedMass": 0,
            "massRatio": 1.4880573248407645,
            "separation": 0.9968382373666007,
            "periodRatio": 0.9952611068063113,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7535710929232144,
            "orbitalEnergyChange": -0.0035710929232144473,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.004,
            "removed": 0.006,
            "donor": 1.494,
            "accretor": 1.006,
            "escapedMass": 0,
            "massRatio": 1.485089463220676,
            "separation": 0.9960596829422795,
            "periodRatio": 0.9940953505296329,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7544547910825816,
            "orbitalEnergyChange": -0.004454791082581622,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0048,
            "removed": 0.0072,
            "donor": 1.4928,
            "accretor": 1.0072,
            "escapedMass": 0,
            "massRatio": 1.4821286735504366,
            "separation": 0.9952858531338288,
            "periodRatio": 0.9929371199528076,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7553348393659067,
            "orbitalEnergyChange": -0.0053348393659067295,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.005600000000000001,
            "removed": 0.008400000000000001,
            "donor": 1.4916,
            "accretor": 1.0084,
            "escapedMass": 0,
            "massRatio": 1.4791749305831021,
            "separation": 0.9945167331961201,
            "periodRatio": 0.9917863849498088,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7562112279227903,
            "orbitalEnergyChange": -0.0062112279227902745,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0064,
            "removed": 0.009600000000000001,
            "donor": 1.4904,
            "accretor": 1.0096,
            "escapedMass": 0,
            "massRatio": 1.476228209191759,
            "separation": 0.9937523084936875,
            "periodRatio": 0.9906431156366747,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7570839469448932,
            "orbitalEnergyChange": -0.007083946944893227,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0072,
            "removed": 0.0108,
            "donor": 1.4892,
            "accretor": 1.0108,
            "escapedMass": 0,
            "massRatio": 1.473288484368817,
            "separation": 0.9929925645000813,
            "periodRatio": 0.9895072823698271,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.757952986666033,
            "orbitalEnergyChange": -0.007952986666032946,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.008,
            "removed": 0.012,
            "donor": 1.488,
            "accretor": 1.012,
            "escapedMass": 0,
            "massRatio": 1.4703557312252964,
            "separation": 0.9922374867972275,
            "periodRatio": 0.9883788557444012,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7588183373622807,
            "orbitalEnergyChange": -0.00881833736228066,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0088,
            "removed": 0.0132,
            "donor": 1.4868,
            "accretor": 1.0132,
            "escapedMass": 0,
            "massRatio": 1.4674299249901301,
            "separation": 0.9914870610747949,
            "periodRatio": 0.9872578065926013,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7596799893520545,
            "orbitalEnergyChange": -0.009679989352054497,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0096,
            "removed": 0.0144,
            "donor": 1.4856,
            "accretor": 1.0144,
            "escapedMass": 0,
            "massRatio": 1.4645110410094637,
            "separation": 0.9907412731295641,
            "periodRatio": 0.986144105982061,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7605379329962179,
            "orbitalEnergyChange": -0.010537932996217858,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0104,
            "removed": 0.0156,
            "donor": 1.4844,
            "accretor": 1.0156,
            "escapedMass": 0,
            "massRatio": 1.4615990547459627,
            "separation": 0.990000108864808,
            "periodRatio": 0.9850377252142327,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7613921586981705,
            "orbitalEnergyChange": -0.011392158698170451,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.011200000000000002,
            "removed": 0.016800000000000002,
            "donor": 1.4832,
            "accretor": 1.0168,
            "escapedMass": 0,
            "massRatio": 1.4586939417781277,
            "separation": 0.9892635542896732,
            "periodRatio": 0.9839386358227821,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7622426569039444,
            "orbitalEnergyChange": -0.012242656903944438,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.012,
            "removed": 0.018000000000000002,
            "donor": 1.482,
            "accretor": 1.018,
            "escapedMass": 0,
            "massRatio": 1.455795677799607,
            "separation": 0.9885315955185682,
            "periodRatio": 0.9828468095720038,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7630894181022976,
            "orbitalEnergyChange": -0.013089418102297579,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0128,
            "removed": 0.019200000000000002,
            "donor": 1.4808,
            "accretor": 1.0192,
            "escapedMass": 0,
            "massRatio": 1.452904238618524,
            "separation": 0.9878042187705586,
            "periodRatio": 0.9817622184552526,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7639324328248063,
            "orbitalEnergyChange": -0.013932432824806273,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.013600000000000001,
            "removed": 0.0204,
            "donor": 1.4796,
            "accretor": 1.0204,
            "escapedMass": 0,
            "massRatio": 1.4500196001568013,
            "separation": 0.9870814103687676,
            "periodRatio": 0.9806848346933901,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7647716916459575,
            "orbitalEnergyChange": -0.014771691645957485,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0144,
            "removed": 0.0216,
            "donor": 1.4784,
            "accretor": 1.0216,
            "escapedMass": 0,
            "massRatio": 1.447141738449491,
            "separation": 0.9863631567397794,
            "periodRatio": 0.9796146307332432,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7656071851832427,
            "orbitalEnergyChange": -0.015607185183242667,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0152,
            "removed": 0.0228,
            "donor": 1.4772,
            "accretor": 1.0228,
            "escapedMass": 0,
            "massRatio": 1.4442706296441143,
            "separation": 0.9856494444130534,
            "periodRatio": 0.9785515792460867,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7664389040972459,
            "orbitalEnergyChange": -0.01643890409724591,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.016,
            "removed": 0.024,
            "donor": 1.476,
            "accretor": 1.024,
            "escapedMass": 0,
            "massRatio": 1.44140625,
            "separation": 0.9849402600203354,
            "periodRatio": 0.9774956531261267,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7672668390917409,
            "orbitalEnergyChange": -0.01726683909174087,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0168,
            "removed": 0.0252,
            "donor": 1.4748,
            "accretor": 1.0252,
            "escapedMass": 0,
            "massRatio": 1.438548575887632,
            "separation": 0.9842355902950854,
            "periodRatio": 0.9764468254890167,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7680909809137745,
            "orbitalEnergyChange": -0.01809098091377448,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0176,
            "removed": 0.0264,
            "donor": 1.4736,
            "accretor": 1.0264,
            "escapedMass": 0,
            "massRatio": 1.4356975837879968,
            "separation": 0.9835354220718998,
            "periodRatio": 0.9754050696703722,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7689113203537629,
            "orbitalEnergyChange": -0.01891132035376286,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0184,
            "removed": 0.0276,
            "donor": 1.4724,
            "accretor": 1.0276,
            "escapedMass": 0,
            "massRatio": 1.4328532502919422,
            "separation": 0.9828397422859454,
            "periodRatio": 0.9743703592243103,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7697278482455788,
            "orbitalEnergyChange": -0.019727848245578827,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0192,
            "removed": 0.0288,
            "donor": 1.4712,
            "accretor": 1.0288,
            "escapedMass": 0,
            "massRatio": 1.4300155520995337,
            "separation": 0.982148537972398,
            "periodRatio": 0.973342667922001,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7705405554666401,
            "orbitalEnergyChange": -0.02054055546664013,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.02,
            "removed": 0.03,
            "donor": 1.47,
            "accretor": 1.03,
            "escapedMass": 0,
            "massRatio": 1.4271844660194175,
            "separation": 0.9814617962658833,
            "periodRatio": 0.972321969750231,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7713494329380001,
            "orbitalEnergyChange": -0.021349432938000068,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0208,
            "removed": 0.0312,
            "donor": 1.4688,
            "accretor": 1.0312,
            "escapedMass": 0,
            "massRatio": 1.4243599689681927,
            "separation": 0.9807795043999262,
            "periodRatio": 0.9713082389099855,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7721544716244347,
            "orbitalEnergyChange": -0.022154471624434735,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0216,
            "removed": 0.0324,
            "donor": 1.4676,
            "accretor": 1.0324,
            "escapedMass": 0,
            "massRatio": 1.4215420379697792,
            "separation": 0.9801016497064023,
            "periodRatio": 0.9703014498150383,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7729556625345321,
            "orbitalEnergyChange": -0.022955662534532073,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.022400000000000003,
            "removed": 0.033600000000000005,
            "donor": 1.4664,
            "accretor": 1.0336,
            "escapedMass": 0,
            "massRatio": 1.4187306501547985,
            "separation": 0.9794282196149988,
            "periodRatio": 0.969301577090566,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7737529967207764,
            "orbitalEnergyChange": -0.023752996720776354,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0232,
            "removed": 0.0348,
            "donor": 1.4652,
            "accretor": 1.0348,
            "escapedMass": 0,
            "massRatio": 1.4159257827599538,
            "separation": 0.9787592016526737,
            "periodRatio": 0.9683085955717621,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7745464652796392,
            "orbitalEnergyChange": -0.024546465279639218,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.024,
            "removed": 0.036000000000000004,
            "donor": 1.464,
            "accretor": 1.036,
            "escapedMass": 0,
            "massRatio": 1.413127413127413,
            "separation": 0.9780945834431269,
            "periodRatio": 0.9673224803024785,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7753360593516626,
            "orbitalEnergyChange": -0.02533605935166261,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0248,
            "removed": 0.0372,
            "donor": 1.4628,
            "accretor": 1.0372,
            "escapedMass": 0,
            "massRatio": 1.410335518704204,
            "separation": 0.9774343527062727,
            "periodRatio": 0.9663432065338724,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7761217701215462,
            "orbitalEnergyChange": -0.02612177012154615,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0256,
            "removed": 0.038400000000000004,
            "donor": 1.4616,
            "accretor": 1.0384,
            "escapedMass": 0,
            "massRatio": 1.4075500770416025,
            "separation": 0.9767784972577164,
            "periodRatio": 0.9653707497230688,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7769035888182325,
            "orbitalEnergyChange": -0.026903588818232516,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0264,
            "removed": 0.039599999999999996,
            "donor": 1.4604,
            "accretor": 1.0396,
            "escapedMass": 0,
            "massRatio": 1.4047710657945363,
            "separation": 0.9761270050082387,
            "periodRatio": 0.9644050855318368,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7776815067149925,
            "orbitalEnergyChange": -0.027681506714992477,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.027200000000000002,
            "removed": 0.0408,
            "donor": 1.4592,
            "accretor": 1.0408,
            "escapedMass": 0,
            "massRatio": 1.401998462720984,
            "separation": 0.9754798639632832,
            "periodRatio": 0.96344618982528,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.778455515129508,
            "orbitalEnergyChange": -0.028455515129507947,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.028000000000000004,
            "removed": 0.04200000000000001,
            "donor": 1.458,
            "accretor": 1.042,
            "escapedMass": 0,
            "massRatio": 1.399232245681382,
            "separation": 0.974837062222447,
            "periodRatio": 0.9624940386705361,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7792256054239591,
            "orbitalEnergyChange": -0.029225605423959133,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0288,
            "removed": 0.0432,
            "donor": 1.4568,
            "accretor": 1.0432,
            "escapedMass": 0,
            "massRatio": 1.3964723926380371,
            "separation": 0.9741985879789802,
            "periodRatio": 0.9615486083354957,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7799917690051048,
            "orbitalEnergyChange": -0.029991769005104807,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0296,
            "removed": 0.0444,
            "donor": 1.4556,
            "accretor": 1.0444,
            "escapedMass": 0,
            "massRatio": 1.3937188816545385,
            "separation": 0.9735644295192869,
            "periodRatio": 0.9606098752875294,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7807539973243668,
            "orbitalEnergyChange": -0.03075399732436679,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0304,
            "removed": 0.0456,
            "donor": 1.4544,
            "accretor": 1.0456,
            "escapedMass": 0,
            "massRatio": 1.3909716908951797,
            "separation": 0.9729345752224311,
            "periodRatio": 0.9596778161922276,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7815122818779129,
            "orbitalEnergyChange": -0.031512281877912884,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.031200000000000002,
            "removed": 0.0468,
            "donor": 1.4532,
            "accretor": 1.0468,
            "escapedMass": 0,
            "massRatio": 1.3882307986243791,
            "separation": 0.9723090135596487,
            "periodRatio": 0.958752407912156,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7822666142067384,
            "orbitalEnergyChange": -0.032266614206738375,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.032,
            "removed": 0.048,
            "donor": 1.452,
            "accretor": 1.048,
            "escapedMass": 0,
            "massRatio": 1.3854961832061068,
            "separation": 0.9716877330938639,
            "periodRatio": 0.9578336275056226,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7830169858967468,
            "orbitalEnergyChange": -0.03301698589674684,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0328,
            "removed": 0.04920000000000001,
            "donor": 1.4508,
            "accretor": 1.0492,
            "escapedMass": 0,
            "massRatio": 1.382767823103317,
            "separation": 0.971070722479207,
            "periodRatio": 0.9569214522254529,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7837633885788342,
            "orbitalEnergyChange": -0.03376338857883421,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0336,
            "removed": 0.0504,
            "donor": 1.4496,
            "accretor": 1.0504,
            "escapedMass": 0,
            "massRatio": 1.38004569687738,
            "separation": 0.9704579704605428,
            "periodRatio": 0.9560158595177859,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7845058139289653,
            "orbitalEnergyChange": -0.034505813928965345,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0344,
            "removed": 0.0516,
            "donor": 1.4484,
            "accretor": 1.0516,
            "escapedMass": 0,
            "massRatio": 1.3773297831875235,
            "separation": 0.9698494658729969,
            "periodRatio": 0.9551168270208731,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7852442536682579,
            "orbitalEnergyChange": -0.0352442536682579,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0352,
            "removed": 0.0528,
            "donor": 1.4472,
            "accretor": 1.0528,
            "escapedMass": 0,
            "massRatio": 1.3746200607902737,
            "separation": 0.9692451976414918,
            "periodRatio": 0.9542243325638972,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7859786995630592,
            "orbitalEnergyChange": -0.03597869956305921,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.036000000000000004,
            "removed": 0.054000000000000006,
            "donor": 1.446,
            "accretor": 1.054,
            "escapedMass": 0,
            "massRatio": 1.3719165085388993,
            "separation": 0.9686451547802833,
            "periodRatio": 0.9533383541657974,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7867091434250276,
            "orbitalEnergyChange": -0.036709143425027624,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0368,
            "removed": 0.0552,
            "donor": 1.4448,
            "accretor": 1.0552,
            "escapedMass": 0,
            "massRatio": 1.369219105382866,
            "separation": 0.9680493263925044,
            "periodRatio": 0.9524588700341093,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7874355771112103,
            "orbitalEnergyChange": -0.03743557711121026,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0376,
            "removed": 0.056400000000000006,
            "donor": 1.4436,
            "accretor": 1.0564,
            "escapedMass": 0,
            "massRatio": 1.3665278303672852,
            "separation": 0.967457701669712,
            "periodRatio": 0.951585858563817,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7881579925241209,
            "orbitalEnergyChange": -0.03815799252412089,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0384,
            "removed": 0.0576,
            "donor": 1.4424,
            "accretor": 1.0576,
            "escapedMass": 0,
            "massRatio": 1.363842662632375,
            "separation": 0.9668702698914379,
            "periodRatio": 0.9507192983362144,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7888763816118186,
            "orbitalEnergyChange": -0.03887638161181861,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0392,
            "removed": 0.0588,
            "donor": 1.4412,
            "accretor": 1.0588,
            "escapedMass": 0,
            "massRatio": 1.3611635814129204,
            "separation": 0.9662870204247446,
            "periodRatio": 0.9498591681177808,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7895907363679848,
            "orbitalEnergyChange": -0.039590736367984825,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.04,
            "removed": 0.06,
            "donor": 1.44,
            "accretor": 1.06,
            "escapedMass": 0,
            "massRatio": 1.3584905660377358,
            "separation": 0.9657079427237846,
            "periodRatio": 0.949005446859065,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.790301048832,
            "orbitalEnergyChange": -0.04030104883200003,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0408,
            "removed": 0.061200000000000004,
            "donor": 1.4388,
            "accretor": 1.0612,
            "escapedMass": 0,
            "massRatio": 1.355823595929137,
            "separation": 0.9651330263293658,
            "periodRatio": 0.9481581136935852,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7910073110890199,
            "orbitalEnergyChange": -0.04100731108901989,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0416,
            "removed": 0.0624,
            "donor": 1.4376,
            "accretor": 1.0624,
            "escapedMass": 0,
            "massRatio": 1.3531626506024097,
            "separation": 0.9645622608685175,
            "periodRatio": 0.9473171479367335,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7917095152700525,
            "orbitalEnergyChange": -0.04170951527005251,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0424,
            "removed": 0.0636,
            "donor": 1.4364,
            "accretor": 1.0636,
            "escapedMass": 0,
            "massRatio": 1.3505077096652875,
            "separation": 0.9639956360540652,
            "periodRatio": 0.9464825290847005,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7924076535520315,
            "orbitalEnergyChange": -0.042407653552031466,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0432,
            "removed": 0.0648,
            "donor": 1.4352,
            "accretor": 1.0648,
            "escapedMass": 0,
            "massRatio": 1.3478587528174306,
            "separation": 0.963433141684206,
            "periodRatio": 0.9456542368134025,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7931017181578924,
            "orbitalEnergyChange": -0.04310171815789243,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044000000000000004,
            "removed": 0.066,
            "donor": 1.434,
            "accretor": 1.066,
            "escapedMass": 0,
            "massRatio": 1.3452157598499062,
            "separation": 0.9628747676420882,
            "periodRatio": 0.9448322509774233,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7937917013566477,
            "orbitalEnergyChange": -0.04379170135664767,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044800000000000006,
            "removed": 0.06720000000000001,
            "donor": 1.4328,
            "accretor": 1.0672,
            "escapedMass": 0,
            "massRatio": 1.3425787106446778,
            "separation": 0.9623205038953984,
            "periodRatio": 0.9440165516089695,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7944775954634586,
            "orbitalEnergyChange": -0.04447759546345864,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0456,
            "removed": 0.0684,
            "donor": 1.4316,
            "accretor": 1.0684,
            "escapedMass": 0,
            "massRatio": 1.339947585174092,
            "separation": 0.9617703404959472,
            "periodRatio": 0.94320711891683,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7951593928397115,
            "orbitalEnergyChange": -0.04515939283971149,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0464,
            "removed": 0.0696,
            "donor": 1.4304000000000001,
            "accretor": 1.0695999999999999,
            "escapedMass": 0,
            "massRatio": 1.3373223635003741,
            "separation": 0.9612242675792642,
            "periodRatio": 0.9424039332853529,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7958370858930885,
            "orbitalEnergyChange": -0.04583708589308855,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0472,
            "removed": 0.0708,
            "donor": 1.4292,
            "accretor": 1.0708,
            "escapedMass": 0,
            "massRatio": 1.3347030257751216,
            "separation": 0.9606822753641936,
            "periodRatio": 0.9416069752734304,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7965106670776412,
            "orbitalEnergyChange": -0.04651066707764118,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048,
            "removed": 0.07200000000000001,
            "donor": 1.428,
            "accretor": 1.072,
            "escapedMass": 0,
            "massRatio": 1.3320895522388059,
            "separation": 0.9601443541524953,
            "periodRatio": 0.9408162256134918,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7971801288938619,
            "orbitalEnergyChange": -0.04718012889386192,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048799999999999996,
            "removed": 0.07319999999999999,
            "donor": 1.4268,
            "accretor": 1.0732,
            "escapedMass": 0,
            "massRatio": 1.329481923220276,
            "separation": 0.9596104943284487,
            "periodRatio": 0.9400316652105106,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7978454638887563,
            "orbitalEnergyChange": -0.04784546388875632,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0496,
            "removed": 0.0744,
            "donor": 1.4256,
            "accretor": 1.0744,
            "escapedMass": 0,
            "massRatio": 1.326880119136262,
            "separation": 0.9590806863584613,
            "periodRatio": 0.9392532751410204,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7985066646559144,
            "orbitalEnergyChange": -0.048506664655914355,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0504,
            "removed": 0.0756,
            "donor": 1.4243999999999999,
            "accretor": 1.0756000000000001,
            "escapedMass": 0,
            "massRatio": 1.3242841204908886,
            "separation": 0.9585549207906817,
            "periodRatio": 0.9384810366521412,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7991637238355794,
            "orbitalEnergyChange": -0.04916372383557943,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0512,
            "removed": 0.07680000000000001,
            "donor": 1.4232,
            "accretor": 1.0768,
            "escapedMass": 0,
            "massRatio": 1.3216939078751857,
            "separation": 0.9580331882546147,
            "periodRatio": 0.9377149311606156,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.7998166341147201,
            "orbitalEnergyChange": -0.04981663411472015,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.052000000000000005,
            "removed": 0.07800000000000001,
            "donor": 1.422,
            "accretor": 1.078,
            "escapedMass": 0,
            "massRatio": 1.3191094619666046,
            "separation": 0.957515479460741,
            "periodRatio": 0.9369549402518544,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8004653882271001,
            "orbitalEnergyChange": -0.050465388227100116,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0528,
            "removed": 0.07919999999999999,
            "donor": 1.4208,
            "accretor": 1.0792,
            "escapedMass": 0,
            "massRatio": 1.3165307635285397,
            "separation": 0.9570017852001417,
            "periodRatio": 0.9362010456789949,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8011099789533459,
            "orbitalEnergyChange": -0.0511099789533459,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0536,
            "removed": 0.0804,
            "donor": 1.4196,
            "accretor": 1.0804,
            "escapedMass": 0,
            "massRatio": 1.313957793409848,
            "separation": 0.9564920963441251,
            "periodRatio": 0.9354532293619661,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8017503991210164,
            "orbitalEnergyChange": -0.05175039912101642,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.054400000000000004,
            "removed": 0.0816,
            "donor": 1.4184,
            "accretor": 1.0816,
            "escapedMass": 0,
            "massRatio": 1.3113905325443789,
            "separation": 0.9559864038438582,
            "periodRatio": 0.9347114733865656,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8023866416046708,
            "orbitalEnergyChange": -0.05238664160467077,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.055200000000000006,
            "removed": 0.08280000000000001,
            "donor": 1.4172,
            "accretor": 1.0828,
            "escapedMass": 0,
            "massRatio": 1.3088289619504987,
            "separation": 0.9554846987300005,
            "periodRatio": 0.9339757600035445,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8030186993259373,
            "orbitalEnergyChange": -0.05301869932593728,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.05600000000000001,
            "removed": 0.08400000000000002,
            "donor": 1.416,
            "accretor": 1.084,
            "escapedMass": 0,
            "massRatio": 1.3062730627306272,
            "separation": 0.9549869721123433,
            "periodRatio": 0.9332460716277042,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8036465652535789,
            "orbitalEnergyChange": -0.053646565253578915,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.056799999999999996,
            "removed": 0.0852,
            "donor": 1.4148,
            "accretor": 1.0852,
            "escapedMass": 0,
            "massRatio": 1.3037228160707706,
            "separation": 0.9544932151794515,
            "periodRatio": 0.9325223908370016,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8042702324035614,
            "orbitalEnergyChange": -0.054270232403561436,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0576,
            "removed": 0.0864,
            "donor": 1.4136,
            "accretor": 1.0864,
            "escapedMass": 0,
            "massRatio": 1.301178203240059,
            "separation": 0.9540034191983091,
            "periodRatio": 0.9318047003716627,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8048896938391193,
            "orbitalEnergyChange": -0.05488969383911935,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0584,
            "removed": 0.0876,
            "donor": 1.4124,
            "accretor": 1.0876,
            "escapedMass": 0,
            "massRatio": 1.2986392055902907,
            "separation": 0.9535175755139684,
            "periodRatio": 0.9310929831333085,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8055049426708216,
            "orbitalEnergyChange": -0.05550494267082162,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0592,
            "removed": 0.0888,
            "donor": 1.4112,
            "accretor": 1.0888,
            "escapedMass": 0,
            "massRatio": 1.2961058045554739,
            "separation": 0.9530356755492033,
            "periodRatio": 0.9303872221840872,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8061159720566373,
            "orbitalEnergyChange": -0.05611597205663732,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06,
            "removed": 0.09,
            "donor": 1.41,
            "accretor": 1.09,
            "escapedMass": 0,
            "massRatio": 1.293577981651376,
            "separation": 0.952557710804165,
            "periodRatio": 0.9296874007458179,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8067227752019999,
            "orbitalEnergyChange": -0.056722775201999864,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0608,
            "removed": 0.0912,
            "donor": 1.4088,
            "accretor": 1.0912,
            "escapedMass": 0,
            "massRatio": 1.2910557184750735,
            "separation": 0.9520836728560417,
            "periodRatio": 0.928993502199142,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8073253453598728,
            "orbitalEnergyChange": -0.05732534535987277,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0616,
            "removed": 0.09240000000000001,
            "donor": 1.4076,
            "accretor": 1.0924,
            "escapedMass": 0,
            "massRatio": 1.2885389967045038,
            "separation": 0.9516135533587229,
            "periodRatio": 0.9283055100826851,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.807923675830812,
            "orbitalEnergyChange": -0.05792367583081204,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.062400000000000004,
            "removed": 0.0936,
            "donor": 1.4064,
            "accretor": 1.0936,
            "escapedMass": 0,
            "massRatio": 1.286027798098025,
            "separation": 0.9511473440424656,
            "periodRatio": 0.9276234080922279,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8085177599630302,
            "orbitalEnergyChange": -0.058517759963030214,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0632,
            "removed": 0.09480000000000001,
            "donor": 1.4052,
            "accretor": 1.0948,
            "escapedMass": 0,
            "massRatio": 1.2835221044939715,
            "separation": 0.9506850367135637,
            "periodRatio": 0.9269471800798827,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8091075911524604,
            "orbitalEnergyChange": -0.05910759115246045,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.064,
            "removed": 0.096,
            "donor": 1.404,
            "accretor": 1.096,
            "escapedMass": 0,
            "massRatio": 1.2810218978102188,
            "separation": 0.950226623254024,
            "periodRatio": 0.9262768100532862,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8096931628428163,
            "orbitalEnergyChange": -0.05969316284281634,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06480000000000001,
            "removed": 0.09720000000000001,
            "donor": 1.4028,
            "accretor": 1.0972,
            "escapedMass": 0,
            "massRatio": 1.2785271600437478,
            "separation": 0.9497720956212394,
            "periodRatio": 0.9256122821747911,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8102744685256578,
            "orbitalEnergyChange": -0.060274468525657765,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0656,
            "removed": 0.09840000000000002,
            "donor": 1.4016,
            "accretor": 1.0984,
            "escapedMass": 0,
            "massRatio": 1.2760378732702111,
            "separation": 0.9493214458476734,
            "periodRatio": 0.9249535807606766,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8108515017404486,
            "orbitalEnergyChange": -0.06085150174044862,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0664,
            "removed": 0.0996,
            "donor": 1.4004,
            "accretor": 1.0996,
            "escapedMass": 0,
            "massRatio": 1.273554019643507,
            "separation": 0.9488746660405413,
            "periodRatio": 0.924300690280361,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8114242560746203,
            "orbitalEnergyChange": -0.06142425607462032,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0672,
            "removed": 0.1008,
            "donor": 1.3992,
            "accretor": 1.1008,
            "escapedMass": 0,
            "massRatio": 1.271075581395349,
            "separation": 0.9484317483814977,
            "periodRatio": 0.9236535953556249,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8119927251636315,
            "orbitalEnergyChange": -0.061992725163631524,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.068,
            "removed": 0.10200000000000001,
            "donor": 1.398,
            "accretor": 1.102,
            "escapedMass": 0,
            "massRatio": 1.2686025408348456,
            "separation": 0.9479926851263272,
            "periodRatio": 0.9230122807598428,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8125569026910286,
            "orbitalEnergyChange": -0.06255690269102865,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0688,
            "removed": 0.1032,
            "donor": 1.3968,
            "accretor": 1.1032,
            "escapedMass": 0,
            "massRatio": 1.2661348803480783,
            "separation": 0.9475574686046383,
            "periodRatio": 0.9223767314172251,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8131167823885046,
            "orbitalEnergyChange": -0.0631167823885046,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0696,
            "removed": 0.10439999999999999,
            "donor": 1.3956,
            "accretor": 1.1044,
            "escapedMass": 0,
            "massRatio": 1.263672582397682,
            "separation": 0.9471260912195589,
            "periodRatio": 0.9217469324020643,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8136723580359597,
            "orbitalEnergyChange": -0.06367235803595972,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0704,
            "removed": 0.1056,
            "donor": 1.3944,
            "accretor": 1.1056,
            "escapedMass": 0,
            "massRatio": 1.2612156295224315,
            "separation": 0.9466985454474386,
            "periodRatio": 0.9211228689379949,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8142236234615581,
            "orbitalEnergyChange": -0.06422362346155808,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0712,
            "removed": 0.1068,
            "donor": 1.3932,
            "accretor": 1.1068,
            "escapedMass": 0,
            "massRatio": 1.258764004336827,
            "separation": 0.94627482383755,
            "periodRatio": 0.9205045263972567,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8147705725417878,
            "orbitalEnergyChange": -0.06477057254178775,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07200000000000001,
            "removed": 0.10800000000000001,
            "donor": 1.392,
            "accretor": 1.108,
            "escapedMass": 0,
            "massRatio": 1.2563176895306858,
            "separation": 0.9458549190117965,
            "periodRatio": 0.9198918902999702,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8153131992015173,
            "orbitalEnergyChange": -0.06531319920151735,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0728,
            "removed": 0.1092,
            "donor": 1.3908,
            "accretor": 1.1092,
            "escapedMass": 0,
            "massRatio": 1.2538766678687343,
            "separation": 0.9454388236644209,
            "periodRatio": 0.9192849463134171,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8158514974140545,
            "orbitalEnergyChange": -0.0658514974140545,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0736,
            "removed": 0.1104,
            "donor": 1.3896,
            "accretor": 1.1104,
            "escapedMass": 0,
            "massRatio": 1.2514409221902016,
            "separation": 0.9450265305617203,
            "periodRatio": 0.9186836802513326,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8163854612012,
            "orbitalEnergyChange": -0.06638546120120004,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07440000000000001,
            "removed": 0.1116,
            "donor": 1.3884,
            "accretor": 1.1116,
            "escapedMass": 0,
            "massRatio": 1.2490104354084204,
            "separation": 0.944618032541759,
            "periodRatio": 0.918088078073201,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.816915084633308,
            "orbitalEnergyChange": -0.06691508463330798,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0752,
            "removed": 0.11280000000000001,
            "donor": 1.3872,
            "accretor": 1.1128,
            "escapedMass": 0,
            "massRatio": 1.2465851905104242,
            "separation": 0.9442133225140906,
            "periodRatio": 0.9174981258835636,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8174403618293383,
            "orbitalEnergyChange": -0.06744036182933832,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07600000000000001,
            "removed": 0.11400000000000002,
            "donor": 1.386,
            "accretor": 1.114,
            "escapedMass": 0,
            "massRatio": 1.2441651705565528,
            "separation": 0.9438123934594785,
            "periodRatio": 0.916913809931333,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8179612869569136,
            "orbitalEnergyChange": -0.06796128695691361,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0768,
            "removed": 0.1152,
            "donor": 1.3848,
            "accretor": 1.1152,
            "escapedMass": 0,
            "massRatio": 1.2417503586800573,
            "separation": 0.9434152384296212,
            "periodRatio": 0.9163351166091139,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8184778542323742,
            "orbitalEnergyChange": -0.06847785423237418,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0776,
            "removed": 0.1164,
            "donor": 1.3836,
            "accretor": 1.1164,
            "escapedMass": 0,
            "massRatio": 1.2393407380867072,
            "separation": 0.9430218505468819,
            "periodRatio": 0.9157620324525356,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8189900579208309,
            "orbitalEnergyChange": -0.0689900579208309,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0784,
            "removed": 0.1176,
            "donor": 1.3824,
            "accretor": 1.1176,
            "escapedMass": 0,
            "massRatio": 1.2369362920544025,
            "separation": 0.9426322230040182,
            "periodRatio": 0.9151945441395863,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8194978923362215,
            "orbitalEnergyChange": -0.0694978923362215,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07919999999999999,
            "removed": 0.11879999999999999,
            "donor": 1.3812,
            "accretor": 1.1188,
            "escapedMass": 0,
            "massRatio": 1.2345370039327852,
            "separation": 0.9422463490639174,
            "periodRatio": 0.9146326384899613,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8200013518413619,
            "orbitalEnergyChange": -0.07000135184136191,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.08,
            "removed": 0.12,
            "donor": 1.38,
            "accretor": 1.12,
            "escapedMass": 0,
            "massRatio": 1.232142857142857,
            "separation": 0.9418642220593341,
            "periodRatio": 0.9140763024644158,
            "initialAngular": 0.9486832980505138,
            "orbitalAngular": 0.9486832980505138,
            "escapedAngular": 0,
            "orbitalEnergy": -0.8205004308480001,
            "orbitalEnergyChange": -0.07050043084800006,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          }
        ],
        "continuationNote": "Mass sequence is prescribed stripping. A detached snapshot is not sustained self-driven Roche overflow."
      }
    },
    {
      "name": "threshold",
      "actual": {
        "schema": "binary-mass-transfer-v1",
        "parameters": {
          "initialMassRatio": 0.6323329047973826,
          "initialFilling": 1.02,
          "removedFraction": 0,
          "retainedFraction": 1,
          "lossAngularMomentumFactor": 2,
          "lossChannel": "constant-specific-j",
          "adiabaticResponse": -0.3333333333333333,
          "equilibriumResponse": 0,
          "launchTransverse": 0,
          "launchSpeed": 0.01,
          "commonEnvelopeEfficiency": 1,
          "scenario": "transfer"
        },
        "scenario": "transfer",
        "snapshot": {
          "fraction": 0,
          "removed": 0,
          "donor": 0.6323329047973826,
          "accretor": 1,
          "escapedMass": 0,
          "massRatio": 0.6323329047973826,
          "separation": 0.9999999999999999,
          "periodRatio": 0.9999999999999999,
          "initialAngular": 0.49492730480285585,
          "orbitalAngular": 0.49492730480285585,
          "escapedAngular": 0,
          "orbitalEnergy": -0.31616645239869134,
          "orbitalEnergyChange": -5.551115123125783e-17,
          "massBalanceResidual": 0,
          "angularBalanceResidual": 0,
          "effectiveLossFactor": 2
        },
        "initialRoche": {
          "massRatio": 0.6323329047973826,
          "l1": -0.15962679878943514,
          "criticalPotential": 1.987846167555852,
          "volumeRadius": 0.3402196416191814,
          "logarithmicResponse": 0.24845509978603852,
          "fittedRadius": 0.34001019381789716,
          "fittedLogarithmicResponse": 0.24409470351865487,
          "numericalResponseHull": [
            0.24845502772627356,
            0.24845517184580349
          ],
          "relativeRadiusRefinement": 1.0467827999960377e-06,
          "responseRefinement": 7.205976496060806e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "currentRoche": {
          "massRatio": 0.6323329047973826,
          "l1": -0.15962679878943514,
          "criticalPotential": 1.987846167555852,
          "volumeRadius": 0.3402196416191814,
          "logarithmicResponse": 0.24845509978603852,
          "fittedRadius": 0.34001019381789716,
          "fittedLogarithmicResponse": 0.24409470351865487,
          "numericalResponseHull": [
            0.24845502772627356,
            0.24845517184580349
          ],
          "relativeRadiusRefinement": 1.0467827999960377e-06,
          "responseRefinement": 7.205976496060806e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionRoche": {
          "massRatio": 1.5814454576271473,
          "l1": 0.15962679878943514,
          "criticalPotential": 1.9878461675558516,
          "volumeRadius": 0.4207943086478966,
          "logarithmicResponse": 0.2141008350400608,
          "fittedRadius": 0.41913518755425494,
          "fittedLogarithmicResponse": 0.2114802768805698,
          "numericalResponseHull": [
            0.21410074907164947,
            0.21410092100847214
          ],
          "relativeRadiusRefinement": 9.732931292028013e-07,
          "responseRefinement": 8.596841133412525e-08,
          "order": 128,
          "evaluations": 1053696,
          "status": "refined"
        },
        "companionFilling": 0.190116639783122,
        "companionGeometrySupported": true,
        "filling": 1.0200000000000002,
        "donorRadius": 0.34702403445156504,
        "surface": {
          "vertices": [
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.15962679878943514,
            0,
            0,
            -0.18867867483269501,
            0.04455804267842517,
            0,
            -0.1886998175247322,
            0.04431173904533982,
            0.0046573514456526586,
            -0.18876220940074817,
            0.043575754562903905,
            0.00926231256206763,
            -0.18886280900864605,
            0.04235881077795415,
            0.01376321193076002,
            -0.1889967633172499,
            0.04067525543030251,
            0.01810979049982248,
            -0.18915770626296236,
            0.038544794054352925,
            0.022253847223139344,
            -0.18933813107851738,
            0.035992139464695753,
            0.026149819995001565,
            -0.18952980168261463,
            0.03304659931596507,
            0.02975529167438518,
            -0.1897241703255773,
            0.029741622026922283,
            0.03303141763441947,
            -0.18991277462987488,
            0.026114319252262725,
            0.035943276884226716,
            -0.19008759508269557,
            0.022204979596499273,
            0.03846015284216699,
            -0.190241362028788,
            0.0180565842237393,
            0.040555752177617165,
            -0.19036780794305513,
            0.013714331078078141,
            0.04220837098237203,
            -0.19046186557430406,
            0.009225170996747833,
            0.043401017236387236,
            -0.19051981534225199,
            0.0046373562503948815,
            0.044121497470324,
            -0.19053938638903933,
            1.2566866105897027e-17,
            0.04436247401324559,
            -0.19051981534225199,
            -0.004637356250394876,
            0.044121497470324,
            -0.19046186557430406,
            -0.009225170996747837,
            0.043401017236387236,
            -0.19036780794305513,
            -0.013714331078078134,
            0.04220837098237204,
            -0.190241362028788,
            -0.018056584223739288,
            0.040555752177617165,
            -0.19008759508269557,
            -0.022204979596499256,
            0.038460152842167,
            -0.18991277462987488,
            -0.026114319252262718,
            0.035943276884226716,
            -0.1897241703255773,
            -0.02974162202692227,
            0.03303141763441948,
            -0.18952980168261463,
            -0.03304659931596506,
            0.029755291674385193,
            -0.18933813107851738,
            -0.03599213946469575,
            0.02614981999500157,
            -0.18915770626296236,
            -0.038544794054352925,
            0.022253847223139344,
            -0.1889967633172499,
            -0.040675255430302516,
            0.018109790499822476,
            -0.18886280900864605,
            -0.04235881077795415,
            0.013763211930760025,
            -0.18876220940074817,
            -0.043575754562903905,
            0.00926231256206763,
            -0.1886998175247322,
            -0.044311739045339825,
            0.004657351445652651,
            -0.18867867483269501,
            -0.04455804267842517,
            2.5244532399767656e-17,
            -0.1886998175247322,
            -0.044311739045339825,
            -0.00465735144565264,
            -0.18876220940074817,
            -0.043575754562903905,
            -0.00926231256206762,
            -0.18886280900864605,
            -0.042358810777954156,
            -0.013763211930760017,
            -0.1889967633172499,
            -0.04067525543030251,
            -0.01810979049982248,
            -0.18915770626296236,
            -0.03854479405435293,
            -0.022253847223139334,
            -0.18933813107851738,
            -0.035992139464695753,
            -0.026149819995001558,
            -0.18952980168261463,
            -0.03304659931596507,
            -0.02975529167438518,
            -0.1897241703255773,
            -0.029741622026922293,
            -0.03303141763441947,
            -0.18991277462987488,
            -0.026114319252262732,
            -0.03594327688422671,
            -0.19008759508269557,
            -0.022204979596499287,
            -0.03846015284216699,
            -0.190241362028788,
            -0.018056584223739323,
            -0.040555752177617144,
            -0.19036780794305513,
            -0.013714331078078146,
            -0.04220837098237203,
            -0.19046186557430406,
            -0.009225170996747857,
            -0.043401017236387236,
            -0.19051981534225199,
            -0.004637356250394916,
            -0.044121497470324,
            -0.19053938638903933,
            -8.149254270386826e-18,
            -0.04436247401324559,
            -0.19051981534225199,
            0.0046373562503948616,
            -0.044121497470324,
            -0.19046186557430406,
            0.009225170996747842,
            -0.043401017236387236,
            -0.19036780794305513,
            0.013714331078078132,
            -0.04220837098237204,
            -0.190241362028788,
            0.018056584223739274,
            -0.040555752177617165,
            -0.19008759508269557,
            0.022204979596499273,
            -0.03846015284216699,
            -0.18991277462987488,
            0.026114319252262715,
            -0.035943276884226716,
            -0.1897241703255773,
            0.029741622026922293,
            -0.03303141763441947,
            -0.18952980168261463,
            0.03304659931596507,
            -0.02975529167438518,
            -0.18933813107851738,
            0.03599213946469575,
            -0.026149819995001575,
            -0.18915770626296236,
            0.03854479405435293,
            -0.022253847223139334,
            -0.1889967633172499,
            0.040675255430302516,
            -0.01810979049982248,
            -0.18886280900864605,
            0.04235881077795415,
            -0.01376321193076003,
            -0.18876220940074817,
            0.043575754562903905,
            -0.009262312562067615,
            -0.1886998175247322,
            0.04431173904533982,
            -0.004657351445652656,
            -0.18867867483269501,
            0.04455804267842517,
            -5.048906479953531e-17,
            -0.21605751389123024,
            0.08429198664350857,
            0,
            -0.21609548226476716,
            0.08382220010477125,
            0.008810068240298487,
            -0.21620749623733676,
            0.08241882141326208,
            0.017518661296498577,
            -0.21638801042516426,
            0.08009963220278901,
            0.02602594816369773,
            -0.21662819364777447,
            0.07689374687226563,
            0.034235301828386196,
            -0.21691649402596408,
            0.0728408812362584,
            0.04205470238976333,
            -0.21723933836796777,
            0.06799042093641654,
            0.04939793230729269,
            -0.2175818969538995,
            0.062400361683831694,
            0.05618553802577003,
            -0.2179288497508609,
            0.05613619158832302,
            0.062345556912840806,
            -0.21826510313384245,
            0.049269775706737066,
            0.06781402850842273,
            -0.21857642296469498,
            0.041878287995846745,
            0.07253532254280835,
            -0.21884996640959486,
            0.034043219481040894,
            0.07646232285651021,
            -0.2190747084402887,
            0.025849476193296875,
            0.07955650732471341,
            -0.21924176830277825,
            0.017384567728917978,
            0.08178796077773504,
            -0.21934464625486605,
            0.00873787763000898,
            0.08313535232830414,
            -0.21937938218678577,
            2.3677958880228225e-17,
            0.08358590174028463,
            -0.21934464625486605,
            -0.008737877630008972,
            0.08313535232830414,
            -0.21924176830277825,
            -0.017384567728917985,
            0.08178796077773504,
            -0.2190747084402887,
            -0.02584947619329686,
            0.07955650732471342,
            -0.21884996640959486,
            -0.034043219481040866,
            0.07646232285651022,
            -0.21857642296469498,
            -0.04187828799584672,
            0.07253532254280837,
            -0.21826510313384245,
            -0.04926977570673706,
            0.06781402850842273,
            -0.2179288497508609,
            -0.05613619158832298,
            0.06234555691284083,
            -0.2175818969538995,
            -0.06240036168383168,
            0.05618553802577004,
            -0.21723933836796777,
            -0.06799042093641654,
            0.049397932307292704,
            -0.21691649402596408,
            -0.0728408812362584,
            0.04205470238976333,
            -0.21662819364777447,
            -0.07689374687226565,
            0.03423530182838618,
            -0.21638801042516426,
            -0.08009963220278901,
            0.02602594816369774,
            -0.21620749623733676,
            -0.08241882141326208,
            0.017518661296498577,
            -0.21609548226476716,
            -0.08382220010477126,
            0.008810068240298473,
            -0.21605751389123024,
            -0.08429198664350857,
            4.775595290888217e-17,
            -0.21609548226476716,
            -0.08382220010477126,
            -0.008810068240298452,
            -0.21620749623733676,
            -0.08241882141326208,
            -0.017518661296498556,
            -0.21638801042516426,
            -0.08009963220278903,
            -0.026025948163697715,
            -0.21662819364777447,
            -0.07689374687226563,
            -0.034235301828386196,
            -0.21691649402596408,
            -0.07284088123625841,
            -0.04205470238976332,
            -0.21723933836796777,
            -0.06799042093641654,
            -0.049397932307292676,
            -0.2175818969538995,
            -0.062400361683831694,
            -0.05618553802577003,
            -0.2179288497508609,
            -0.05613619158832303,
            -0.062345556912840785,
            -0.21826510313384245,
            -0.04926977570673708,
            -0.06781402850842273,
            -0.21857642296469498,
            -0.04187828799584677,
            -0.07253532254280834,
            -0.21884996640959486,
            -0.034043219481040936,
            -0.0764623228565102,
            -0.2190747084402887,
            -0.025849476193296878,
            -0.07955650732471341,
            -0.21924176830277825,
            -0.017384567728918023,
            -0.08178796077773502,
            -0.21934464625486605,
            -0.008737877630009046,
            -0.08313535232830414,
            -0.21937938218678577,
            -1.535448105301271e-17,
            -0.08358590174028463,
            -0.21934464625486605,
            0.008737877630008942,
            -0.08313535232830414,
            -0.21924176830277825,
            0.017384567728917992,
            -0.08178796077773502,
            -0.2190747084402887,
            0.02584947619329685,
            -0.07955650732471342,
            -0.21884996640959486,
            0.03404321948104084,
            -0.07646232285651024,
            -0.21857642296469498,
            0.041878287995846745,
            -0.07253532254280835,
            -0.21826510313384245,
            0.04926977570673705,
            -0.06781402850842275,
            -0.2179288497508609,
            0.05613619158832303,
            -0.062345556912840785,
            -0.2175818969538995,
            0.062400361683831694,
            -0.05618553802577002,
            -0.21723933836796777,
            0.06799042093641654,
            -0.04939793230729271,
            -0.21691649402596408,
            0.07284088123625841,
            -0.04205470238976331,
            -0.21662819364777447,
            0.07689374687226565,
            -0.034235301828386196,
            -0.21638801042516426,
            0.08009963220278901,
            -0.026025948163697743,
            -0.21620749623733676,
            0.08241882141326208,
            -0.01751866129649855,
            -0.21609548226476716,
            0.08382220010477125,
            -0.008810068240298483,
            -0.21605751389123024,
            0.08429198664350857,
            -9.551190581776434e-17,
            -0.2428038628603718,
            0.12016058990947709,
            0,
            -0.2428555209523674,
            0.11948564484229948,
            0.012558447326376105,
            -0.24300787541840246,
            0.11746995356958224,
            0.024969009430287542,
            -0.2432532528945125,
            0.11414064287762565,
            0.037086543011626776,
            -0.24357946028114996,
            0.10954194136043928,
            0.04877121453805314,
            -0.24397059886457367,
            0.10373381705488269,
            0.059890747200703906,
            -0.24440806328532605,
            0.0967902702541492,
            0.07032224763677164,
            -0.24487162129918288,
            0.08879743472099431,
            0.07995356934605671,
            -0.24534047966766798,
            0.07985163310712529,
            0.08868422305832244,
            -0.24579426325831327,
            0.07005750699953318,
            0.09642588602744016,
            -0.24621386133417222,
            0.05952630712060761,
            0.1031025883198414,
            -0.2465821207362101,
            0.048374392701423206,
            0.10865066492268022,
            -0.24688438608987195,
            0.03672195651251097,
            0.11301856101142058,
            -0.24710890058102208,
            0.024691966301795834,
            0.1161665681256561,
            -0.2472470873771469,
            0.012409294990154644,
            0.11806655515628976,
            -0.24729373259547788,
            3.362546705232301e-17,
            0.11870174279902111,
            -0.2472470873771469,
            -0.012409294990154631,
            0.11806655515628978,
            -0.24710890058102208,
            -0.024691966301795848,
            0.1161665681256561,
            -0.24688438608987195,
            -0.03672195651251096,
            0.1130185610114206,
            -0.2465821207362101,
            -0.04837439270142318,
            0.10865066492268022,
            -0.24621386133417222,
            -0.05952630712060757,
            0.1031025883198414,
            -0.24579426325831327,
            -0.07005750699953317,
            0.09642588602744016,
            -0.24534047966766798,
            -0.07985163310712524,
            0.08868422305832248,
            -0.24487162129918288,
            -0.0887974347209943,
            0.07995356934605675,
            -0.24440806328532605,
            -0.09679027025414919,
            0.07032224763677167,
            -0.24397059886457367,
            -0.10373381705488269,
            0.059890747200703906,
            -0.24357946028114996,
            -0.10954194136043928,
            0.04877121453805312,
            -0.2432532528945125,
            -0.11414064287762565,
            0.03708654301162678,
            -0.24300787541840246,
            -0.11746995356958224,
            0.024969009430287542,
            -0.2428555209523674,
            -0.11948564484229951,
            0.012558447326376086,
            -0.2428038628603718,
            -0.12016058990947709,
            6.807744960964698e-17,
            -0.2428555209523674,
            -0.11948564484229951,
            -0.012558447326376057,
            -0.24300787541840246,
            -0.11746995356958224,
            -0.02496900943028751,
            -0.2432532528945125,
            -0.11414064287762568,
            -0.037086543011626755,
            -0.24357946028114996,
            -0.10954194136043928,
            -0.048771214538053144,
            -0.24397059886457367,
            -0.10373381705488272,
            -0.059890747200703885,
            -0.24440806328532605,
            -0.0967902702541492,
            -0.07032224763677164,
            -0.24487162129918288,
            -0.08879743472099431,
            -0.07995356934605671,
            -0.24534047966766798,
            -0.07985163310712531,
            -0.08868422305832242,
            -0.24579426325831327,
            -0.0700575069995332,
            -0.09642588602744015,
            -0.24621386133417222,
            -0.05952630712060765,
            -0.10310258831984138,
            -0.2465821207362101,
            -0.04837439270142328,
            -0.10865066492268016,
            -0.24688438608987195,
            -0.036721956512510985,
            -0.11301856101142058,
            -0.24710890058102208,
            -0.024691966301795897,
            -0.1161665681256561,
            -0.2472470873771469,
            -0.012409294990154737,
            -0.11806655515628976,
            -0.24729373259547788,
            -2.1805156405805036e-17,
            -0.11870174279902111,
            -0.2472470873771469,
            0.012409294990154588,
            -0.11806655515628978,
            -0.24710890058102208,
            0.024691966301795855,
            -0.1161665681256561,
            -0.24688438608987195,
            0.03672195651251094,
            -0.1130185610114206,
            -0.2465821207362101,
            0.048374392701423144,
            -0.10865066492268023,
            -0.24621386133417222,
            0.05952630712060761,
            -0.1031025883198414,
            -0.24579426325831327,
            0.07005750699953316,
            -0.09642588602744018,
            -0.24534047966766798,
            0.07985163310712531,
            -0.08868422305832242,
            -0.24487162129918288,
            0.08879743472099431,
            -0.07995356934605671,
            -0.24440806328532605,
            0.09679027025414919,
            -0.07032224763677168,
            -0.24397059886457367,
            0.10373381705488272,
            -0.05989074720070387,
            -0.24357946028114996,
            0.10954194136043928,
            -0.04877121453805314,
            -0.2432532528945125,
            0.11414064287762565,
            -0.037086543011626796,
            -0.24300787541840246,
            0.11746995356958224,
            -0.024969009430287504,
            -0.2428555209523674,
            0.11948564484229948,
            -0.0125584473263761,
            -0.2428038628603718,
            0.12016058990947709,
            -1.3615489921929395e-16,
            -0.2695479279403166,
            0.1527455864871562,
            0,
            -0.2696106018446329,
            0.15188107882456012,
            0.01596334464118132,
            -0.26979538210124415,
            0.1492999628138247,
            0.03173468675316874,
            -0.27009278644214163,
            0.14503897176447816,
            0.04712601864764732,
            -0.2704877842207462,
            0.13915776272182093,
            0.06195702774711355,
            -0.2709608458855318,
            0.13173676622812644,
            0.07605825744397958,
            -0.27148921868424924,
            0.12287452706981827,
            0.08927356952476892,
            -0.27204828814263066,
            0.11268479954841583,
            0.10146184924428502,
            -0.272612900483435,
            0.10129364211502088,
            0.1124979866055716,
            -0.2731585533853461,
            0.08883670654467657,
            0.12227323676229601,
            -0.273662400740891,
            0.07545685258570939,
            0.13069510245768362,
            -0.2741040524232513,
            0.06130215476985956,
            0.13768689393267225,
            -0.27446617706020165,
            0.04652431343973513,
            0.14318711355185415,
            -0.27473493253948517,
            0.03127744121942392,
            0.14714879170834436,
            -0.27490025610184715,
            0.015717169049958617,
            0.14953887452993359,
            -0.274956045399504,
            4.258721496842989e-17,
            0.15033773746080803,
            -0.27490025610184715,
            -0.015717169049958596,
            0.1495388745299336,
            -0.27473493253948517,
            -0.03127744121942393,
            0.14714879170834436,
            -0.27446617706020165,
            -0.04652431343973511,
            0.14318711355185418,
            -0.2741040524232513,
            -0.06130215476985952,
            0.13768689393267228,
            -0.273662400740891,
            -0.07545685258570933,
            0.13069510245768365,
            -0.2731585533853461,
            -0.08883670654467656,
            0.12227323676229601,
            -0.272612900483435,
            -0.10129364211502084,
            0.11249798660557163,
            -0.27204828814263066,
            -0.11268479954841581,
            0.10146184924428506,
            -0.27148921868424924,
            -0.12287452706981827,
            0.08927356952476895,
            -0.2709608458855318,
            -0.13173676622812644,
            0.07605825744397958,
            -0.2704877842207462,
            -0.13915776272182095,
            0.06195702774711353,
            -0.27009278644214163,
            -0.14503897176447816,
            0.047126018647647344,
            -0.26979538210124415,
            -0.1492999628138247,
            0.03173468675316874,
            -0.2696106018446329,
            -0.15188107882456015,
            0.015963344641181293,
            -0.2695479279403166,
            -0.1527455864871562,
            8.653860616870371e-17,
            -0.2696106018446329,
            -0.15188107882456015,
            -0.015963344641181258,
            -0.26979538210124415,
            -0.1492999628138247,
            -0.0317346867531687,
            -0.27009278644214163,
            -0.1450389717644782,
            -0.0471260186476473,
            -0.2704877842207462,
            -0.13915776272182093,
            -0.06195702774711356,
            -0.2709608458855318,
            -0.13173676622812647,
            -0.07605825744397955,
            -0.27148921868424924,
            -0.12287452706981827,
            -0.0892735695247689,
            -0.27204828814263066,
            -0.11268479954841583,
            -0.10146184924428502,
            -0.272612900483435,
            -0.10129364211502093,
            -0.11249798660557156,
            -0.2731585533853461,
            -0.0888367065446766,
            -0.12227323676229601,
            -0.273662400740891,
            -0.07545685258570943,
            -0.1306951024576836,
            -0.2741040524232513,
            -0.06130215476985964,
            -0.1376868939326722,
            -0.27446617706020165,
            -0.046524313439735135,
            -0.14318711355185415,
            -0.27473493253948517,
            -0.031277441219424,
            -0.14714879170834433,
            -0.27490025610184715,
            -0.01571716904995873,
            -0.14953887452993359,
            -0.274956045399504,
            -2.7616594345865052e-17,
            -0.15033773746080803,
            -0.27490025610184715,
            0.015717169049958544,
            -0.1495388745299336,
            -0.27473493253948517,
            0.03127744121942395,
            -0.14714879170834433,
            -0.27446617706020165,
            0.04652431343973509,
            -0.14318711355185418,
            -0.2741040524232513,
            0.061302154769859465,
            -0.13768689393267228,
            -0.273662400740891,
            0.07545685258570939,
            -0.13069510245768362,
            -0.2731585533853461,
            0.08883670654467654,
            -0.12227323676229603,
            -0.272612900483435,
            0.10129364211502093,
            -0.11249798660557156,
            -0.27204828814263066,
            0.11268479954841583,
            -0.10146184924428502,
            -0.27148921868424924,
            0.12287452706981827,
            -0.08927356952476895,
            -0.2709608458855318,
            0.13173676622812647,
            -0.07605825744397954,
            -0.2704877842207462,
            0.13915776272182095,
            -0.06195702774711355,
            -0.27009278644214163,
            0.14503897176447816,
            -0.04712601864764735,
            -0.26979538210124415,
            0.1492999628138247,
            -0.031734686753168685,
            -0.2696106018446329,
            0.15188107882456012,
            -0.01596334464118131,
            -0.2695479279403166,
            0.1527455864871562,
            -1.7307721233740741e-16,
            -0.2966887172268038,
            0.18240308750450387,
            0,
            -0.2967598487636819,
            0.1813630214678107,
            0.019062021676846706,
            -0.29696948698338826,
            0.17825858224285737,
            0.037890031329714614,
            -0.2973066581778838,
            0.17313633807618542,
            0.05625540637459193,
            -0.29775401358328946,
            0.16607163670331063,
            0.07393985647645182,
            -0.2982890974773046,
            0.15716551738236587,
            0.09073955376803573,
            -0.29888587324234595,
            0.1465409364085802,
            0.10646822239456268,
            -0.29951633012909623,
            0.13433870955790456,
            0.12095911739169016,
            -0.3001520171801998,
            0.12071353703105603,
            0.13406596493598802,
            -0.3007653951430557,
            0.1058303916509319,
            0.1456630377047261,
            -0.30133094766898477,
            0.08986144725453521,
            0.15564459228652575,
            -0.30182603798707974,
            0.07298362497949877,
            0.16392390559678852,
            -0.3022315299969259,
            0.05537675484742435,
            0.17043212673610783,
            -0.30253221165530636,
            0.03722229370502245,
            0.17511712370849905,
            -0.3027170652108485,
            0.018702506425992638,
            0.17794246234433383,
            -0.3027794262919485,
            5.067445377364099e-17,
            0.17888661498618688,
            -0.3027170652108485,
            -0.018702506425992613,
            0.17794246234433386,
            -0.30253221165530636,
            -0.03722229370502247,
            0.17511712370849905,
            -0.3022315299969259,
            -0.05537675484742433,
            0.17043212673610786,
            -0.30182603798707974,
            -0.07298362497949873,
            0.16392390559678854,
            -0.30133094766898477,
            -0.08986144725453515,
            0.15564459228652577,
            -0.3007653951430557,
            -0.10583039165093189,
            0.1456630377047261,
            -0.3001520171801998,
            -0.12071353703105596,
            0.13406596493598807,
            -0.29951633012909623,
            -0.13433870955790453,
            0.1209591173916902,
            -0.29888587324234595,
            -0.14654093640858018,
            0.1064682223945627,
            -0.2982890974773046,
            -0.15716551738236587,
            0.09073955376803573,
            -0.29775401358328946,
            -0.16607163670331065,
            0.0739398564764518,
            -0.2973066581778838,
            -0.17313633807618542,
            0.05625540637459195,
            -0.29696948698338826,
            -0.17825858224285737,
            0.037890031329714614,
            -0.2967598487636819,
            -0.18136302146781072,
            0.019062021676846674,
            -0.2966887172268038,
            -0.18240308750450387,
            1.0334117873078548e-16,
            -0.2967598487636819,
            -0.18136302146781072,
            -0.019062021676846633,
            -0.29696948698338826,
            -0.17825858224285737,
            -0.03789003132971457,
            -0.2973066581778838,
            -0.17313633807618542,
            -0.05625540637459191,
            -0.29775401358328946,
            -0.16607163670331063,
            -0.07393985647645183,
            -0.2982890974773046,
            -0.1571655173823659,
            -0.09073955376803569,
            -0.29888587324234595,
            -0.1465409364085802,
            -0.10646822239456266,
            -0.29951633012909623,
            -0.13433870955790456,
            -0.12095911739169016,
            -0.3001520171801998,
            -0.12071353703105607,
            -0.134065964935988,
            -0.3007653951430557,
            -0.10583039165093193,
            -0.1456630377047261,
            -0.30133094766898477,
            -0.08986144725453526,
            -0.15564459228652572,
            -0.30182603798707974,
            -0.07298362497949887,
            -0.16392390559678846,
            -0.3022315299969259,
            -0.055376754847424374,
            -0.17043212673610783,
            -0.30253221165530636,
            -0.03722229370502255,
            -0.17511712370849902,
            -0.3027170652108485,
            -0.018702506425992776,
            -0.17794246234433383,
            -0.3027794262919485,
            -3.286093806797081e-17,
            -0.17888661498618688,
            -0.3027170652108485,
            0.01870250642599255,
            -0.17794246234433386,
            -0.30253221165530636,
            0.03722229370502248,
            -0.17511712370849902,
            -0.3022315299969259,
            0.05537675484742431,
            -0.17043212673610786,
            -0.30182603798707974,
            0.07298362497949866,
            -0.16392390559678854,
            -0.30133094766898477,
            0.08986144725453521,
            -0.15564459228652575,
            -0.3007653951430557,
            0.10583039165093186,
            -0.14566303770472613,
            -0.3001520171801998,
            0.12071353703105607,
            -0.134065964935988,
            -0.29951633012909623,
            0.13433870955790456,
            -0.12095911739169013,
            -0.29888587324234595,
            0.14654093640858018,
            -0.10646822239456272,
            -0.2982890974773046,
            0.1571655173823659,
            -0.09073955376803568,
            -0.29775401358328946,
            0.16607163670331065,
            -0.07393985647645182,
            -0.2973066581778838,
            0.17313633807618542,
            -0.05625540637459197,
            -0.29696948698338826,
            0.17825858224285737,
            -0.03789003132971455,
            -0.2967598487636819,
            0.1813630214678107,
            -0.019062021676846695,
            -0.2966887172268038,
            0.18240308750450387,
            -2.0668235746157097e-16,
            -0.32448202046023256,
            0.20934459214864298,
            0,
            -0.3245589922225588,
            0.20814216366344404,
            0.021876622938389552,
            -0.32478575368320795,
            0.2045540577136058,
            0.04347930718325531,
            -0.32515018752915503,
            0.19863684642457446,
            0.06454102380093518,
            -0.32563319065616697,
            0.1904817354755455,
            0.08480793266106547,
            -0.32621013598695536,
            0.18021039724918483,
            0.10404452136258623,
            -0.32685261333941507,
            0.16796993319517134,
            0.12203729989251136,
            -0.32753023663895736,
            0.1539275382524584,
            0.138596977971324,
            -0.3282123382863852,
            0.13826537299878447,
            0.15355925361997638,
            -0.328869429097138,
            0.1211760167403941,
            0.16678447863619072,
            -0.32947436500591176,
            0.10285872076087575,
            0.17815653035937645,
            -0.3300032153417187,
            0.08351654024714074,
            0.18758122062432953,
            -0.330435864664126,
            0.0633543153465507,
            0.1949845333510886,
            -0.3307563999059919,
            0.04257740115485532,
            0.20031092345647514,
            -0.3309533397222464,
            0.02139100822070066,
            0.20352184825501748,
            -0.3310197577302023,
            5.795694682050456e-17,
            0.2045946479850843,
            -0.3309533397222464,
            -0.021391008220700634,
            0.20352184825501748,
            -0.3307563999059919,
            -0.04257740115485533,
            0.20031092345647514,
            -0.330435864664126,
            -0.06335431534655067,
            0.1949845333510886,
            -0.3300032153417187,
            -0.08351654024714068,
            0.18758122062432953,
            -0.32947436500591176,
            -0.1028587207608757,
            0.17815653035937648,
            -0.328869429097138,
            -0.12117601674039409,
            0.16678447863619072,
            -0.3282123382863852,
            -0.1382653729987844,
            0.15355925361997644,
            -0.32753023663895736,
            -0.15392753825245836,
            0.13859697797132406,
            -0.32685261333941507,
            -0.16796993319517134,
            0.1220372998925114,
            -0.32621013598695536,
            -0.18021039724918483,
            0.10404452136258623,
            -0.32563319065616697,
            -0.1904817354755455,
            0.08480793266106545,
            -0.32515018752915503,
            -0.19863684642457446,
            0.06454102380093521,
            -0.32478575368320795,
            -0.2045540577136058,
            0.04347930718325531,
            -0.3245589922225588,
            -0.20814216366344404,
            0.021876622938389517,
            -0.32448202046023256,
            -0.20934459214864298,
            1.1860499298303887e-16,
            -0.3245589922225588,
            -0.20814216366344404,
            -0.02187662293838947,
            -0.32478575368320795,
            -0.2045540577136058,
            -0.04347930718325525,
            -0.32515018752915503,
            -0.19863684642457446,
            -0.06454102380093517,
            -0.32563319065616697,
            -0.1904817354755455,
            -0.08480793266106548,
            -0.32621013598695536,
            -0.18021039724918483,
            -0.10404452136258618,
            -0.32685261333941507,
            -0.16796993319517134,
            -0.12203729989251134,
            -0.32753023663895736,
            -0.1539275382524584,
            -0.138596977971324,
            -0.3282123382863852,
            -0.13826537299878452,
            -0.15355925361997635,
            -0.328869429097138,
            -0.12117601674039415,
            -0.16678447863619072,
            -0.32947436500591176,
            -0.10285872076087584,
            -0.17815653035937645,
            -0.3300032153417187,
            -0.08351654024714085,
            -0.18758122062432944,
            -0.330435864664126,
            -0.06335431534655073,
            -0.1949845333510886,
            -0.3307563999059919,
            -0.04257740115485543,
            -0.2003109234564751,
            -0.3309533397222464,
            -0.02139100822070082,
            -0.20352184825501748,
            -0.3310197577302023,
            -3.758342711664195e-17,
            -0.2045946479850843,
            -0.3309533397222464,
            0.02139100822070056,
            -0.20352184825501748,
            -0.3307563999059919,
            0.04257740115485535,
            -0.2003109234564751,
            -0.330435864664126,
            0.06335431534655066,
            -0.1949845333510886,
            -0.3300032153417187,
            0.08351654024714061,
            -0.18758122062432958,
            -0.32947436500591176,
            0.10285872076087575,
            -0.17815653035937645,
            -0.328869429097138,
            0.12117601674039406,
            -0.16678447863619075,
            -0.3282123382863852,
            0.13826537299878452,
            -0.15355925361997635,
            -0.32753023663895736,
            0.1539275382524584,
            -0.13859697797132398,
            -0.32685261333941507,
            0.16796993319517134,
            -0.12203729989251143,
            -0.32621013598695536,
            0.18021039724918483,
            -0.10404452136258616,
            -0.32563319065616697,
            0.1904817354755455,
            -0.08480793266106547,
            -0.32515018752915503,
            0.19863684642457446,
            -0.06454102380093524,
            -0.32478575368320795,
            0.2045540577136058,
            -0.04347930718325524,
            -0.3245589922225588,
            0.20814216366344404,
            -0.021876622938389545,
            -0.32448202046023256,
            0.20934459214864298,
            -2.3720998596607773e-16,
            -0.3530874598168593,
            0.2336842678790559,
            0,
            -0.35316751407988817,
            0.23233243469488957,
            0.02441912287601908,
            -0.3534032604086119,
            0.22829957151399624,
            0.04852657195175437,
            -0.35378183456459655,
            0.2216523282296469,
            0.07201920715769332,
            -0.35428301475620183,
            0.21249778574299896,
            0.09461010977733039,
            -0.3548808401675823,
            0.20097808327346553,
            0.11603475047915032,
            -0.3555455179308707,
            0.18726399083671785,
            0.1360552533068817,
            -0.3562453743685975,
            0.17154819719095962,
            0.1544626905427434,
            -0.35694865075426174,
            0.15403897502712113,
            0.17107761343658223,
            -0.35762501479336595,
            0.13495469161534415,
            0.1857491976221224,
            -0.35824673315135563,
            0.11451941865151874,
            0.19835345155768133,
            -0.35878951101104506,
            0.09295970773858656,
            0.20879092207225367,
            -0.3592330444298895,
            0.07050246169895973,
            0.21698426570121715,
            -0.35956135034258174,
            0.047373749636784854,
            0.2228759689401121,
            -0.35976294176189155,
            0.023798375395698478,
            0.22642641693307897,
            -0.35983090754771024,
            6.447735669682435e-17,
            0.22761244026968666,
            -0.35976294176189155,
            -0.023798375395698446,
            0.226426416933079,
            -0.35956135034258174,
            -0.047373749636784875,
            0.2228759689401121,
            -0.3592330444298895,
            -0.0705024616989597,
            0.21698426570121718,
            -0.35878951101104506,
            -0.0929597077385865,
            0.20879092207225367,
            -0.35824673315135563,
            -0.11451941865151866,
            0.19835345155768136,
            -0.35762501479336595,
            -0.13495469161534412,
            0.1857491976221224,
            -0.35694865075426174,
            -0.15403897502712105,
            0.1710776134365823,
            -0.3562453743685975,
            -0.17154819719095962,
            0.15446269054274345,
            -0.3555455179308707,
            -0.18726399083671783,
            0.13605525330688176,
            -0.3548808401675823,
            -0.20097808327346553,
            0.11603475047915032,
            -0.35428301475620183,
            -0.21249778574299896,
            0.09461010977733038,
            -0.35378183456459655,
            -0.2216523282296469,
            0.07201920715769335,
            -0.3534032604086119,
            -0.22829957151399624,
            0.04852657195175437,
            -0.35316751407988817,
            -0.2323324346948896,
            0.024419122876019043,
            -0.3530874598168593,
            -0.2336842678790559,
            1.3239473094371815e-16,
            -0.35316751407988817,
            -0.2323324346948896,
            -0.024419122876018988,
            -0.3534032604086119,
            -0.22829957151399624,
            -0.048526571951754305,
            -0.35378183456459655,
            -0.22165232822964692,
            -0.07201920715769329,
            -0.35428301475620183,
            -0.21249778574299896,
            -0.09461010977733042,
            -0.3548808401675823,
            -0.20097808327346556,
            -0.11603475047915028,
            -0.3555455179308707,
            -0.18726399083671785,
            -0.1360552533068817,
            -0.3562453743685975,
            -0.17154819719095962,
            -0.1544626905427434,
            -0.35694865075426174,
            -0.1540389750271212,
            -0.17107761343658218,
            -0.35762501479336595,
            -0.13495469161534418,
            -0.18574919762212233,
            -0.35824673315135563,
            -0.11451941865151881,
            -0.19835345155768133,
            -0.35878951101104506,
            -0.0929597077385867,
            -0.20879092207225358,
            -0.3592330444298895,
            -0.07050246169895975,
            -0.21698426570121715,
            -0.35956135034258174,
            -0.04737374963678498,
            -0.2228759689401121,
            -0.35976294176189155,
            -0.023798375395698654,
            -0.22642641693307897,
            -0.35983090754771024,
            -4.181172696335848e-17,
            -0.22761244026968666,
            -0.35976294176189155,
            0.023798375395698373,
            -0.226426416933079,
            -0.35956135034258174,
            0.04737374963678489,
            -0.2228759689401121,
            -0.3592330444298895,
            0.07050246169895967,
            -0.21698426570121718,
            -0.35878951101104506,
            0.09295970773858643,
            -0.2087909220722537,
            -0.35824673315135563,
            0.11451941865151874,
            -0.19835345155768133,
            -0.35762501479336595,
            0.1349546916153441,
            -0.18574919762212241,
            -0.35694865075426174,
            0.1540389750271212,
            -0.17107761343658218,
            -0.3562453743685975,
            0.17154819719095962,
            -0.1544626905427434,
            -0.3555455179308707,
            0.18726399083671783,
            -0.13605525330688176,
            -0.3548808401675823,
            0.20097808327346556,
            -0.11603475047915025,
            -0.35428301475620183,
            0.21249778574299896,
            -0.09461010977733039,
            -0.35378183456459655,
            0.2216523282296469,
            -0.07201920715769336,
            -0.3534032604086119,
            0.22829957151399624,
            -0.048526571951754284,
            -0.35316751407988817,
            0.23233243469488957,
            -0.02441912287601907,
            -0.3530874598168593,
            0.2336842678790559,
            -2.647894618874363e-16,
            -0.38259527727190845,
            0.2554684826515941,
            0,
            -0.3826754956593984,
            0.2539803960812601,
            0.026694415302594452,
            -0.38291162696728037,
            0.24954221910216975,
            0.05304183608386451,
            -0.38329051412501347,
            0.2422306175443252,
            0.07870549867081145,
            -0.38379153598121585,
            0.2321683537703616,
            0.10336801091942521,
            -0.3843883306551297,
            0.21951760365524267,
            0.12673854756221592,
            -0.38505080433349853,
            0.20447204212644804,
            0.1485576343929682,
            -0.38574715710148133,
            0.18724868972333808,
            0.16859947751636498,
            -0.3864457127924018,
            0.16808034946934963,
            0.186672139617524,
            -0.3871164228496302,
            0.1472091952024365,
            0.2026160748037454,
            -0.38773199740470693,
            0.12488178849346655,
            0.2163016026107544,
            -0.3882686819438296,
            0.1013455640735607,
            0.22762586378128316,
            -0.3887067381610072,
            0.0768466606490772,
            0.23650970236655824,
            -0.389030704572927,
            0.051628883999417556,
            0.24289480218243037,
            -0.38922951213084567,
            0.02593355547046708,
            0.24674129833982167,
            -0.38929651899900347,
            7.026004745338369e-17,
            0.2480259997245868,
            -0.38922951213084567,
            -0.02593355547046705,
            0.24674129833982167,
            -0.389030704572927,
            -0.051628883999417584,
            0.24289480218243037,
            -0.3887067381610072,
            -0.07684666064907718,
            0.2365097023665583,
            -0.3882686819438296,
            -0.10134556407356062,
            0.22762586378128322,
            -0.38773199740470693,
            -0.12488178849346647,
            0.21630160261075446,
            -0.3871164228496302,
            -0.14720919520243647,
            0.2026160748037454,
            -0.3864457127924018,
            -0.16808034946934955,
            0.18667213961752405,
            -0.38574715710148133,
            -0.18724868972333802,
            0.16859947751636503,
            -0.38505080433349853,
            -0.204472042126448,
            0.14855763439296824,
            -0.3843883306551297,
            -0.21951760365524267,
            0.12673854756221592,
            -0.38379153598121585,
            -0.23216835377036166,
            0.10336801091942517,
            -0.38329051412501347,
            -0.2422306175443252,
            0.07870549867081149,
            -0.38291162696728037,
            -0.24954221910216975,
            0.05304183608386451,
            -0.3826754956593984,
            -0.2539803960812601,
            0.02669441530259441,
            -0.38259527727190845,
            -0.2554684826515941,
            1.4473666255857146e-16,
            -0.3826754956593984,
            -0.2539803960812601,
            -0.02669441530259435,
            -0.38291162696728037,
            -0.24954221910216975,
            -0.05304183608386444,
            -0.38329051412501347,
            -0.24223061754432523,
            -0.07870549867081142,
            -0.38379153598121585,
            -0.2321683537703616,
            -0.10336801091942523,
            -0.3843883306551297,
            -0.2195176036552427,
            -0.12673854756221586,
            -0.38505080433349853,
            -0.20447204212644804,
            -0.14855763439296818,
            -0.38574715710148133,
            -0.18724868972333808,
            -0.16859947751636498,
            -0.3864457127924018,
            -0.1680803494693497,
            -0.1866721396175239,
            -0.3871164228496302,
            -0.14720919520243653,
            -0.20261607480374538,
            -0.38773199740470693,
            -0.12488178849346665,
            -0.2163016026107544,
            -0.3882686819438296,
            -0.10134556407356082,
            -0.2276258637812831,
            -0.3887067381610072,
            -0.07684666064907723,
            -0.23650970236655824,
            -0.389030704572927,
            -0.051628883999417695,
            -0.24289480218243034,
            -0.38922951213084567,
            -0.025933555470467273,
            -0.24674129833982167,
            -0.38929651899900347,
            -4.556163700020563e-17,
            -0.2480259997245868,
            -0.38922951213084567,
            0.02593355547046696,
            -0.24674129833982167,
            -0.389030704572927,
            0.051628883999417605,
            -0.24289480218243034,
            -0.3887067381610072,
            0.07684666064907715,
            -0.2365097023665583,
            -0.3882686819438296,
            0.10134556407356055,
            -0.22762586378128322,
            -0.38773199740470693,
            0.12488178849346655,
            -0.2163016026107544,
            -0.3871164228496302,
            0.14720919520243644,
            -0.20261607480374544,
            -0.3864457127924018,
            0.1680803494693497,
            -0.1866721396175239,
            -0.38574715710148133,
            0.18724868972333808,
            -0.16859947751636495,
            -0.38505080433349853,
            0.204472042126448,
            -0.14855763439296826,
            -0.3843883306551297,
            0.2195176036552427,
            -0.12673854756221586,
            -0.38379153598121585,
            0.23216835377036166,
            -0.10336801091942521,
            -0.38329051412501347,
            0.2422306175443252,
            -0.07870549867081152,
            -0.38291162696728037,
            0.24954221910216975,
            -0.053041836083864424,
            -0.3826754956593984,
            0.2539803960812601,
            -0.02669441530259444,
            -0.38259527727190845,
            0.2554684826515941,
            -2.8947332511714293e-16,
            -0.41304230196556335,
            0.2746953173194019,
            0,
            -0.4131196305861682,
            0.27308465696897427,
            0.028702354033513622,
            -0.41334716095133406,
            0.26828213249157357,
            0.057025127639910196,
            -0.4137119543691107,
            0.2603741851558146,
            0.08460070114771777,
            -0.41419379139190193,
            0.24949879101770253,
            0.11108401871088087,
            -0.41476693187743074,
            0.23583739579045912,
            0.13616078394460185,
            -0.4154021450328279,
            0.21960545611377255,
            0.15955270324867066,
            -0.41606872764299907,
            0.20104282080925964,
            0.18101976893370333,
            -0.4167362936316745,
            0.18040495449742627,
            0.20036000020203268,
            -0.4173762101215379,
            0.15795565104390197,
            0.21740730233308028,
            -0.4179626438085794,
            0.13396152388206842,
            0.23202816562309395,
            -0.4184732478775084,
            0.1086882721467766,
            0.24411785613376943,
            -0.4188895580783417,
            0.08239853475742585,
            0.2535966139102924,
            -0.4191971803475977,
            0.055351051619428576,
            0.26040622404006,
            -0.4193858488358041,
            0.02780082640245755,
            0.26450719452155486,
            -0.4194494197817837,
            7.531673254795758e-17,
            0.26587667619482747,
            -0.4193858488358041,
            -0.027800826402457512,
            0.26450719452155486,
            -0.4191971803475977,
            -0.055351051619428604,
            0.26040622404006,
            -0.4188895580783417,
            -0.08239853475742583,
            0.2535966139102924,
            -0.4184732478775084,
            -0.10868827214677651,
            0.2441178561337695,
            -0.4179626438085794,
            -0.1339615238820683,
            0.23202816562309397,
            -0.4173762101215379,
            -0.1579556510439019,
            0.21740730233308028,
            -0.4167362936316745,
            -0.18040495449742616,
            0.20036000020203276,
            -0.41606872764299907,
            -0.2010428208092596,
            0.18101976893370336,
            -0.4154021450328279,
            -0.2196054561137725,
            0.15955270324867066,
            -0.41476693187743074,
            -0.23583739579045912,
            0.13616078394460185,
            -0.41419379139190193,
            -0.24949879101770256,
            0.11108401871088086,
            -0.4137119543691107,
            -0.2603741851558146,
            0.0846007011477178,
            -0.41334716095133406,
            -0.26828213249157357,
            0.057025127639910196,
            -0.4131196305861682,
            -0.27308465696897427,
            0.028702354033513577,
            -0.41304230196556335,
            -0.2746953173194019,
            1.5562970052748265e-16,
            -0.4131196305861682,
            -0.27308465696897427,
            -0.02870235403351351,
            -0.41334716095133406,
            -0.26828213249157357,
            -0.05702512763991013,
            -0.4137119543691107,
            -0.2603741851558146,
            -0.08460070114771774,
            -0.41419379139190193,
            -0.24949879101770253,
            -0.1110840187108809,
            -0.41476693187743074,
            -0.23583739579045915,
            -0.1361607839446018,
            -0.4154021450328279,
            -0.21960545611377255,
            -0.1595527032486706,
            -0.41606872764299907,
            -0.20104282080925964,
            -0.18101976893370333,
            -0.4167362936316745,
            -0.1804049544974263,
            -0.20036000020203265,
            -0.4173762101215379,
            -0.15795565104390197,
            -0.21740730233308025,
            -0.4179626438085794,
            -0.13396152388206847,
            -0.23202816562309392,
            -0.4184732478775084,
            -0.10868827214677673,
            -0.24411785613376932,
            -0.4188895580783417,
            -0.08239853475742588,
            -0.2535966139102924,
            -0.4191971803475977,
            -0.05535105161942872,
            -0.26040622404006,
            -0.4193858488358041,
            -0.027800826402457755,
            -0.26450719452155486,
            -0.4194494197817837,
            -4.88407530704899e-17,
            -0.26587667619482747,
            -0.4193858488358041,
            0.027800826402457422,
            -0.26450719452155486,
            -0.4191971803475977,
            0.05535105161942863,
            -0.26040622404006,
            -0.4188895580783417,
            0.0823985347574258,
            -0.2535966139102924,
            -0.4184732478775084,
            0.10868827214677643,
            -0.2441178561337695,
            -0.4179626438085794,
            0.13396152388206842,
            -0.23202816562309395,
            -0.4173762101215379,
            0.1579556510439019,
            -0.21740730233308034,
            -0.4167362936316745,
            0.1804049544974263,
            -0.20036000020203265,
            -0.41606872764299907,
            0.20104282080925964,
            -0.18101976893370328,
            -0.4154021450328279,
            0.2196054561137725,
            -0.1595527032486707,
            -0.41476693187743074,
            0.23583739579045915,
            -0.1361607839446018,
            -0.41419379139190193,
            0.24949879101770256,
            -0.11108401871088087,
            -0.4137119543691107,
            0.2603741851558146,
            -0.08460070114771784,
            -0.41334716095133406,
            0.26828213249157357,
            -0.05702512763991011,
            -0.4131196305861682,
            0.27308465696897427,
            -0.028702354033513608,
            -0.41304230196556335,
            0.2746953173194019,
            -3.112594010549653e-16,
            -0.4444217699672023,
            0.29132810920988883,
            0,
            -0.44449308228533146,
            0.28960934342389844,
            0.030439168566363504,
            -0.4447028253231128,
            0.284485726688873,
            0.06046930790918448,
            -0.44503883790651144,
            0.2760530140752915,
            0.08969506147752192,
            -0.4454821697576916,
            0.2644635926844324,
            0.11774677768286201,
            -0.4460087944055938,
            0.24991700675466383,
            0.14428965112487066,
            -0.4465915648718236,
            0.23264894765314764,
            0.16902935456570475,
            -0.44720213139218823,
            0.21292019408759413,
            0.1917142038691508,
            -0.44781261165616715,
            0.19100667665212934,
            0.21213440550578783,
            -0.44839690011852584,
            0.1671913898325372,
            0.23011920622395218,
            -0.4489315920679089,
            0.1417584340991841,
            0.2455328102611912,
            -0.4493965620278859,
            0.11498913322225515,
            0.258269821816556,
            -0.44977527050835586,
            0.08715996580893266,
            0.26825079187090994,
            -0.4500548830517961,
            0.0585419590689619,
            0.2754182633036936,
            -0.45022627922836567,
            0.029401181233461873,
            0.27973355363980584,
            -0.45028401441838406,
            7.965022613689928e-17,
            0.2811744039740533,
            -0.45022627922836567,
            -0.029401181233461842,
            0.27973355363980584,
            -0.4500548830517961,
            -0.05854195906896194,
            0.2754182633036936,
            -0.44977527050835586,
            -0.08715996580893262,
            0.26825079187091,
            -0.4493965620278859,
            -0.11498913322225507,
            0.258269821816556,
            -0.4489315920679089,
            -0.141758434099184,
            0.24553281026119123,
            -0.44839690011852584,
            -0.16719138983253715,
            0.23011920622395218,
            -0.44781261165616715,
            -0.19100667665212925,
            0.2121344055057879,
            -0.44720213139218823,
            -0.21292019408759413,
            0.19171420386915086,
            -0.4465915648718236,
            -0.23264894765314761,
            0.1690293545657048,
            -0.4460087944055938,
            -0.24991700675466383,
            0.14428965112487066,
            -0.4454821697576916,
            -0.2644635926844324,
            0.11774677768286199,
            -0.44503883790651144,
            -0.2760530140752915,
            0.08969506147752193,
            -0.4447028253231128,
            -0.284485726688873,
            0.06046930790918448,
            -0.44449308228533146,
            -0.2896093434238985,
            0.03043916856636346,
            -0.4444217699672023,
            -0.29132810920988883,
            1.650530734706864e-16,
            -0.44449308228533146,
            -0.2896093434238985,
            -0.03043916856636339,
            -0.4447028253231128,
            -0.284485726688873,
            -0.0604693079091844,
            -0.44503883790651144,
            -0.27605301407529154,
            -0.08969506147752188,
            -0.4454821697576916,
            -0.2644635926844324,
            -0.11774677768286204,
            -0.4460087944055938,
            -0.24991700675466386,
            -0.1442896511248706,
            -0.4465915648718236,
            -0.23264894765314764,
            -0.16902935456570473,
            -0.44720213139218823,
            -0.21292019408759413,
            -0.1917142038691508,
            -0.44781261165616715,
            -0.1910066766521294,
            -0.2121344055057878,
            -0.44839690011852584,
            -0.16719138983253723,
            -0.23011920622395216,
            -0.4489315920679089,
            -0.14175843409918418,
            -0.24553281026119114,
            -0.4493965620278859,
            -0.1149891332222553,
            -0.2582698218165559,
            -0.44977527050835586,
            -0.08715996580893268,
            -0.26825079187090994,
            -0.4500548830517961,
            -0.05854195906896206,
            -0.27541826330369357,
            -0.45022627922836567,
            -0.029401181233462092,
            -0.27973355363980584,
            -0.45028401441838406,
            -5.165090007434838e-17,
            -0.2811744039740533,
            -0.45022627922836567,
            0.02940118123346174,
            -0.27973355363980584,
            -0.4500548830517961,
            0.05854195906896196,
            -0.27541826330369357,
            -0.44977527050835586,
            0.08715996580893258,
            -0.26825079187091,
            -0.4493965620278859,
            0.11498913322225499,
            -0.258269821816556,
            -0.4489315920679089,
            0.1417584340991841,
            -0.2455328102611912,
            -0.44839690011852584,
            0.16719138983253712,
            -0.2301192062239522,
            -0.44781261165616715,
            0.1910066766521294,
            -0.2121344055057878,
            -0.44720213139218823,
            0.21292019408759413,
            -0.19171420386915075,
            -0.4465915648718236,
            0.23264894765314761,
            -0.16902935456570484,
            -0.4460087944055938,
            0.24991700675466386,
            -0.14428965112487058,
            -0.4454821697576916,
            0.2644635926844324,
            -0.11774677768286201,
            -0.44503883790651144,
            0.2760530140752915,
            -0.08969506147752197,
            -0.4447028253231128,
            0.284485726688873,
            -0.06046930790918439,
            -0.44449308228533146,
            0.28960934342389844,
            -0.030439168566363497,
            -0.4444217699672023,
            0.29132810920988883,
            -3.301061469413728e-16,
            -0.4766894558892254,
            0.3053052977900856,
            0,
            -0.4767516486448965,
            0.30349388142904987,
            0.031898492315412176,
            -0.47693449894974616,
            0.2980952958296643,
            0.06336211113156152,
            -0.4772272118069819,
            0.28921388825330696,
            0.09397128871760221,
            -0.4776130111256353,
            0.27701526499763457,
            0.12333514224529259,
            -0.4780707085866499,
            0.261715434775661,
            0.1511014767188078,
            -0.47857647785986707,
            0.24356830087923736,
            0.17696272906277147,
            -0.479105572011439,
            0.22285323887543326,
            0.20065795756831273,
            -0.479633794174172,
            0.19986409673296063,
            0.22197156709665847,
            -0.48013862490967607,
            0.17490040237967916,
            0.24072975171852382,
            -0.48059999331721337,
            0.14826104346054794,
            0.2567956600568464,
            -0.4810007363721489,
            0.12024030123459901,
            0.2700641382782298,
            -0.4813268197449597,
            0.09112590034773188,
            0.28045668331048706,
            -0.48156739942160404,
            0.06119865176275003,
            0.28791701974252065,
            -0.48171479534565376,
            0.030733270678260538,
            0.2924075381032433,
            -0.48176443341692954,
            8.325699535271361e-17,
            0.2939067116361246,
            -0.48171479534565376,
            -0.030733270678260503,
            0.2924075381032433,
            -0.48156739942160404,
            -0.061198651762750064,
            0.28791701974252065,
            -0.4813268197449597,
            -0.09112590034773184,
            0.28045668331048706,
            -0.4810007363721489,
            -0.12024030123459895,
            0.27006413827822984,
            -0.48059999331721337,
            -0.14826104346054783,
            0.2567956600568464,
            -0.48013862490967607,
            -0.1749004023796791,
            0.24072975171852382,
            -0.479633794174172,
            -0.19986409673296052,
            0.22197156709665852,
            -0.479105572011439,
            -0.22285323887543323,
            0.20065795756831276,
            -0.47857647785986707,
            -0.2435683008792373,
            0.1769627290627715,
            -0.4780707085866499,
            -0.261715434775661,
            0.1511014767188078,
            -0.4776130111256353,
            -0.2770152649976346,
            0.12333514224529256,
            -0.4772272118069819,
            -0.28921388825330696,
            0.09397128871760223,
            -0.47693449894974616,
            -0.2980952958296643,
            0.06336211113156152,
            -0.4767516486448965,
            -0.3034938814290499,
            0.03189849231541213,
            -0.4766894558892254,
            -0.3053052977900856,
            1.7297190402877297e-16,
            -0.4767516486448965,
            -0.3034938814290499,
            -0.03189849231541205,
            -0.47693449894974616,
            -0.2980952958296643,
            -0.06336211113156144,
            -0.4772272118069819,
            -0.289213888253307,
            -0.09397128871760217,
            -0.4776130111256353,
            -0.27701526499763457,
            -0.12333514224529261,
            -0.4780707085866499,
            -0.26171543477566106,
            -0.15110147671880775,
            -0.47857647785986707,
            -0.24356830087923736,
            -0.17696272906277144,
            -0.479105572011439,
            -0.22285323887543326,
            -0.20065795756831273,
            -0.479633794174172,
            -0.19986409673296066,
            -0.22197156709665838,
            -0.48013862490967607,
            -0.1749004023796792,
            -0.24072975171852376,
            -0.48059999331721337,
            -0.14826104346054803,
            -0.25679566005684634,
            -0.4810007363721489,
            -0.1202403012345992,
            -0.2700641382782297,
            -0.4813268197449597,
            -0.0911259003477319,
            -0.28045668331048706,
            -0.48156739942160404,
            -0.061198651762750196,
            -0.2879170197425206,
            -0.48171479534565376,
            -0.030733270678260767,
            -0.2924075381032433,
            -0.48176443341692954,
            -5.3989787047965616e-17,
            -0.2939067116361246,
            -0.48171479534565376,
            0.0307332706782604,
            -0.2924075381032433,
            -0.48156739942160404,
            0.06119865176275009,
            -0.2879170197425206,
            -0.4813268197449597,
            0.0911259003477318,
            -0.28045668331048706,
            -0.4810007363721489,
            0.12024030123459885,
            -0.2700641382782299,
            -0.48059999331721337,
            0.14826104346054794,
            -0.2567956600568464,
            -0.48013862490967607,
            0.17490040237967908,
            -0.24072975171852384,
            -0.479633794174172,
            0.19986409673296066,
            -0.22197156709665838,
            -0.479105572011439,
            0.22285323887543326,
            -0.2006579575683127,
            -0.47857647785986707,
            0.2435683008792373,
            -0.17696272906277155,
            -0.4780707085866499,
            0.26171543477566106,
            -0.15110147671880775,
            -0.4776130111256353,
            0.2770152649976346,
            -0.12333514224529259,
            -0.4772272118069819,
            0.28921388825330696,
            -0.09397128871760227,
            -0.47693449894974616,
            0.2980952958296643,
            -0.06336211113156141,
            -0.4767516486448965,
            0.30349388142904987,
            -0.03189849231541216,
            -0.4766894558892254,
            0.3053052977900856,
            -3.4594380805754595e-16,
            -0.5097674767147102,
            0.31654792467120907,
            0,
            -0.5098175949996746,
            0.31466043878624944,
            0.03307214478699094,
            -0.5099648936938626,
            0.30903628328113497,
            0.06568768980552098,
            -0.5102005343981117,
            0.2997873845603107,
            0.09740682592579361,
            -0.5105108155442546,
            0.28709094442025757,
            0.12782112374821727,
            -0.5108784925462774,
            0.2711772958695974,
            0.15656428476842682,
            -0.5112842578481063,
            0.2523160198505435,
            0.18331831891846473,
            -0.5117081568001589,
            0.23080229745314615,
            0.20781532206004585,
            -0.5121307814940734,
            0.20694498049263732,
            0.2298356852162062,
            -0.5125341671595957,
            0.18105721173255285,
            0.24920387279960698,
            -0.5129023872949493,
            0.15344983099394538,
            0.26578290369437074,
            -0.5132218908989025,
            0.12442738153541975,
            0.2794684746091631,
            -0.5134816471036374,
            0.09428630230650456,
            0.2901834003898582,
            -0.5136731653056116,
            0.06331481727809625,
            0.29787279574265846,
            -0.5137904503882964,
            0.031794055236335994,
            0.3025002289961847,
            -0.5138299392324057,
            8.612892472991453e-17,
            0.3040449506601059,
            -0.5137904503882964,
            -0.03179405523633596,
            0.30250022899618473,
            -0.5136731653056116,
            -0.06331481727809628,
            0.29787279574265846,
            -0.5134816471036374,
            -0.09428630230650452,
            0.2901834003898582,
            -0.5132218908989025,
            -0.12442738153541966,
            0.27946847460916313,
            -0.5129023872949493,
            -0.15344983099394527,
            0.2657829036943708,
            -0.5125341671595957,
            -0.18105721173255282,
            0.24920387279960698,
            -0.5121307814940734,
            -0.20694498049263726,
            0.2298356852162063,
            -0.5117081568001589,
            -0.23080229745314612,
            0.2078153220600459,
            -0.5112842578481063,
            -0.2523160198505435,
            0.18331831891846476,
            -0.5108784925462774,
            -0.2711772958695974,
            0.15656428476842682,
            -0.5105108155442546,
            -0.28709094442025757,
            0.12782112374821725,
            -0.5102005343981117,
            -0.2997873845603107,
            0.09740682592579364,
            -0.5099648936938626,
            -0.30903628328113497,
            0.06568768980552098,
            -0.5098175949996746,
            -0.31466043878624944,
            0.03307214478699089,
            -0.5097674767147102,
            -0.31654792467120907,
            1.7934145801944773e-16,
            -0.5098175949996746,
            -0.31466043878624944,
            -0.03307214478699081,
            -0.5099648936938626,
            -0.30903628328113497,
            -0.0656876898055209,
            -0.5102005343981117,
            -0.29978738456031073,
            -0.09740682592579357,
            -0.5105108155442546,
            -0.28709094442025757,
            -0.1278211237482173,
            -0.5108784925462774,
            -0.27117729586959743,
            -0.15656428476842674,
            -0.5112842578481063,
            -0.2523160198505435,
            -0.1833183189184647,
            -0.5117081568001589,
            -0.23080229745314615,
            -0.20781532206004585,
            -0.5121307814940734,
            -0.2069449804926374,
            -0.22983568521620618,
            -0.5125341671595957,
            -0.1810572117325529,
            -0.24920387279960696,
            -0.5129023872949493,
            -0.1534498309939455,
            -0.2657829036943707,
            -0.5132218908989025,
            -0.1244273815354199,
            -0.27946847460916296,
            -0.5134816471036374,
            -0.0942863023065046,
            -0.2901834003898582,
            -0.5136731653056116,
            -0.06331481727809642,
            -0.2978727957426584,
            -0.5137904503882964,
            -0.03179405523633623,
            -0.3025002289961847,
            -0.5138299392324057,
            -5.585215134342204e-17,
            -0.3040449506601059,
            -0.5137904503882964,
            0.031794055236335855,
            -0.30250022899618473,
            -0.5136731653056116,
            0.0633148172780963,
            -0.2978727957426584,
            -0.5134816471036374,
            0.09428630230650449,
            -0.2901834003898582,
            -0.5132218908989025,
            0.12442738153541956,
            -0.27946847460916313,
            -0.5129023872949493,
            0.15344983099394538,
            -0.26578290369437074,
            -0.5125341671595957,
            0.1810572117325528,
            -0.24920387279960704,
            -0.5121307814940734,
            0.2069449804926374,
            -0.22983568521620618,
            -0.5117081568001589,
            0.23080229745314615,
            -0.2078153220600458,
            -0.5112842578481063,
            0.2523160198505435,
            -0.1833183189184648,
            -0.5108784925462774,
            0.27117729586959743,
            -0.15656428476842674,
            -0.5105108155442546,
            0.28709094442025757,
            -0.12782112374821727,
            -0.5102005343981117,
            0.2997873845603107,
            -0.09740682592579368,
            -0.5099648936938626,
            0.30903628328113497,
            -0.06568768980552088,
            -0.5098175949996746,
            0.31466043878624944,
            -0.03307214478699093,
            -0.5097674767147102,
            0.31654792467120907,
            -3.5868291603889546e-16,
            -0.5435465525485574,
            0.32496564279540074,
            0,
            -0.5435819395974897,
            0.32301987603772003,
            0.03395075704655817,
            -0.5436859107965534,
            0.317223061878601,
            0.06742784331535209,
            -0.5438521398853975,
            0.30769338160846205,
            0.0999756400850972,
            -0.5440708408077507,
            0.29461755178194793,
            0.13117218524869623,
            -0.5443297345898165,
            0.2782375605660007,
            0.16064053049144528,
            -0.5446151251661183,
            0.2588356058958853,
            0.18805507544539582,
            -0.5449129180476374,
            0.23671941943702185,
            0.21314312262493115,
            -0.5452094676881536,
            0.21220958079862853,
            0.23568261620161368,
            -0.5454922021940463,
            0.18562968364337337,
            0.2554973404695226,
            -0.5457500270198492,
            0.15729955522614733,
            0.2724508216596736,
            -0.5459735429854058,
            0.12753127813939766,
            0.2864399405240939,
            -0.5461551284916215,
            0.09662753070854513,
            0.2973889604995856,
            -0.5462889364036623,
            0.06488170006310977,
            0.30524439967105654,
            -0.5463708488316066,
            0.032579261411962,
            0.3099709667227968,
            -0.5463984227449534,
            8.825454930130768e-17,
            0.3115486484011119,
            -0.5463708488316066,
            -0.03257926141196196,
            0.30997096672279684,
            -0.5462889364036623,
            -0.06488170006310981,
            0.30524439967105654,
            -0.5461551284916215,
            -0.0966275307085451,
            0.2973889604995856,
            -0.5459735429854058,
            -0.12753127813939757,
            0.2864399405240939,
            -0.5457500270198492,
            -0.15729955522614722,
            0.27245082165967366,
            -0.5454922021940463,
            -0.18562968364337334,
            0.2554973404695226,
            -0.5452094676881536,
            -0.21220958079862845,
            0.23568261620161374,
            -0.5449129180476374,
            -0.2367194194370218,
            0.2131431226249312,
            -0.5446151251661183,
            -0.2588356058958853,
            0.18805507544539585,
            -0.5443297345898165,
            -0.2782375605660007,
            0.16064053049144528,
            -0.5440708408077507,
            -0.294617551781948,
            0.1311721852486962,
            -0.5438521398853975,
            -0.30769338160846205,
            0.09997564008509723,
            -0.5436859107965534,
            -0.317223061878601,
            0.06742784331535209,
            -0.5435819395974897,
            -0.3230198760377201,
            0.03395075704655812,
            -0.5435465525485574,
            -0.32496564279540074,
            1.841105489656522e-16,
            -0.5435819395974897,
            -0.3230198760377201,
            -0.03395075704655804,
            -0.5436859107965534,
            -0.317223061878601,
            -0.06742784331535201,
            -0.5438521398853975,
            -0.30769338160846205,
            -0.09997564008509716,
            -0.5440708408077507,
            -0.29461755178194793,
            -0.13117218524869625,
            -0.5443297345898165,
            -0.27823756056600074,
            -0.1606405304914452,
            -0.5446151251661183,
            -0.2588356058958853,
            -0.18805507544539576,
            -0.5449129180476374,
            -0.23671941943702185,
            -0.21314312262493115,
            -0.5452094676881536,
            -0.21220958079862862,
            -0.2356826162016136,
            -0.5454922021940463,
            -0.18562968364337343,
            -0.2554973404695226,
            -0.5457500270198492,
            -0.15729955522614741,
            -0.2724508216596736,
            -0.5459735429854058,
            -0.12753127813939782,
            -0.2864399405240938,
            -0.5461551284916215,
            -0.09662753070854517,
            -0.2973889604995856,
            -0.5462889364036623,
            -0.06488170006310993,
            -0.3052443996710565,
            -0.5463708488316066,
            -0.03257926141196224,
            -0.3099709667227968,
            -0.5463984227449534,
            -5.723055825646588e-17,
            -0.3115486484011119,
            -0.5463708488316066,
            0.03257926141196185,
            -0.30997096672279684,
            -0.5462889364036623,
            0.06488170006310982,
            -0.3052443996710565,
            -0.5461551284916215,
            0.09662753070854506,
            -0.2973889604995856,
            -0.5459735429854058,
            0.12753127813939746,
            -0.28643994052409394,
            -0.5457500270198492,
            0.15729955522614733,
            -0.2724508216596736,
            -0.5454922021940463,
            0.18562968364337332,
            -0.25549734046952266,
            -0.5452094676881536,
            0.21220958079862862,
            -0.2356826162016136,
            -0.5449129180476374,
            0.23671941943702185,
            -0.21314312262493113,
            -0.5446151251661183,
            0.2588356058958853,
            -0.18805507544539588,
            -0.5443297345898165,
            0.27823756056600074,
            -0.16064053049144517,
            -0.5440708408077507,
            0.294617551781948,
            -0.13117218524869623,
            -0.5438521398853975,
            0.30769338160846205,
            -0.09997564008509727,
            -0.5436859107965534,
            0.317223061878601,
            -0.06742784331535198,
            -0.5435819395974897,
            0.32301987603772003,
            -0.03395075704655816,
            -0.5435465525485574,
            0.32496564279540074,
            -3.682210979313044e-16,
            -0.5778871962479686,
            0.3304618116127463,
            0,
            -0.577905661982523,
            0.3284767799501912,
            0.03452430075919673,
            -0.5779599027839498,
            0.32256378822045456,
            0.068563049743397,
            -0.5780465811078968,
            0.3128456338079194,
            0.1016497083046602,
            -0.5781605431902982,
            0.29951600875903556,
            0.1333531188086454,
            -0.5782953384610237,
            0.2828253620691788,
            0.1632892989242937,
            -0.5784437939349935,
            0.2630649319317633,
            0.1911278606752615,
            -0.5785985535534747,
            0.24055129741506423,
            0.21659336105361635,
            -0.5787525218923526,
            0.21561314434119686,
            0.2394626564670064,
            -0.5788991863843062,
            0.18858112252494127,
            0.25955964758548833,
            -0.5790328208575996,
            0.15978096077449583,
            0.2767487421435965,
            -0.5791485908567555,
            0.12952953177585017,
            0.29092809167515404,
            -0.5792425883340978,
            0.09813332709169437,
            0.302023325238342,
            -0.5793118229901185,
            0.06588875203118084,
            0.3099822066818532,
            -0.5793541932351498,
            0.03308370471233415,
            0.3147704241290283,
            -0.5793684540326547,
            8.961992627182313e-17,
            0.31636858519858857,
            -0.5793541932351498,
            -0.03308370471233411,
            0.31477042412902834,
            -0.5793118229901185,
            -0.06588875203118087,
            0.3099822066818532,
            -0.5792425883340978,
            -0.09813332709169434,
            0.3020233252383421,
            -0.5791485908567555,
            -0.12952953177585008,
            0.2909280916751541,
            -0.5790328208575996,
            -0.15978096077449572,
            0.27674874214359657,
            -0.5788991863843062,
            -0.18858112252494125,
            0.25955964758548833,
            -0.5787525218923526,
            -0.21561314434119674,
            0.23946265646700648,
            -0.5785985535534747,
            -0.2405512974150642,
            0.21659336105361643,
            -0.5784437939349935,
            -0.2630649319317632,
            0.19112786067526152,
            -0.5782953384610237,
            -0.2828253620691788,
            0.1632892989242937,
            -0.5781605431902984,
            -0.29951600875903417,
            0.13335311880864473,
            -0.5780465811078968,
            -0.3128456338079194,
            0.10164970830466025,
            -0.5779599027839498,
            -0.32256378822045456,
            0.068563049743397,
            -0.577905661982523,
            -0.32847677995019126,
            0.03452430075919667,
            -0.5778871962479686,
            -0.3304618116127463,
            1.872244247879233e-16,
            -0.577905661982523,
            -0.32847677995019126,
            -0.0345243007591966,
            -0.5779599027839498,
            -0.32256378822045456,
            -0.06856304974339691,
            -0.5780465811078968,
            -0.3128456338079194,
            -0.10164970830466018,
            -0.5781605431902982,
            -0.29951600875903556,
            -0.1333531188086454,
            -0.5782953384610237,
            -0.2828253620691788,
            -0.16328929892429364,
            -0.5784437939349935,
            -0.2630649319317633,
            -0.19112786067526144,
            -0.5785985535534747,
            -0.24055129741506423,
            -0.21659336105361635,
            -0.5787525218923526,
            -0.21561314434119694,
            -0.23946265646700635,
            -0.5788991863843062,
            -0.18858112252494133,
            -0.25955964758548833,
            -0.5790328208575996,
            -0.15978096077449594,
            -0.2767487421435965,
            -0.5791485908567555,
            -0.12952953177585036,
            -0.29092809167515393,
            -0.5792425883340978,
            -0.09813332709169441,
            -0.302023325238342,
            -0.5793118229901185,
            -0.06588875203118101,
            -0.30998220668185317,
            -0.5793541932351498,
            -0.0330837047123344,
            -0.3147704241290283,
            -0.5793684540326547,
            -5.811596628213422e-17,
            -0.31636858519858857,
            -0.5793541932351498,
            0.033083704712334,
            -0.31477042412902834,
            -0.5793118229901185,
            0.0658887520311809,
            -0.30998220668185317,
            -0.5792425883340978,
            0.0981333270916943,
            -0.3020233252383421,
            -0.5791485908567555,
            0.12952953177584997,
            -0.2909280916751541,
            -0.5790328208575996,
            0.15978096077449583,
            -0.2767487421435965,
            -0.5788991863843062,
            0.18858112252494122,
            -0.2595596475854884,
            -0.5787525218923526,
            0.21561314434119694,
            -0.23946265646700635,
            -0.5785985535534747,
            0.24055129741506423,
            -0.21659336105361632,
            -0.5784437939349935,
            0.2630649319317632,
            -0.19112786067526155,
            -0.5782953384610237,
            0.2828253620691788,
            -0.1632892989242936,
            -0.5781605431902984,
            0.29951600875903417,
            -0.13335311880864475,
            -0.5780465811078968,
            0.3128456338079194,
            -0.10164970830466029,
            -0.5779599027839498,
            0.32256378822045456,
            -0.06856304974339689,
            -0.577905661982523,
            0.3284767799501912,
            -0.03452430075919671,
            -0.5778871962479686,
            0.3304618116127463,
            -3.744488495758466e-16,
            -0.6126201322420363,
            0.33293809776810535,
            0,
            -0.6126201322420363,
            0.3309339968881411,
            0.034782564666341824,
            -0.6126201322420363,
            0.32496474182929147,
            0.0690733881872206,
            -0.6126201322420363,
            0.31515581075245447,
            0.10240033029572282,
            -0.6126201322420363,
            0.3017049020004535,
            0.13432767686880265,
            -0.6126201322420363,
            0.28486724230077265,
            0.16446817902565739,
            -0.6126201322420363,
            0.26493905727564254,
            0.19248949244040242,
            -0.6126201322420363,
            0.2422416604171988,
            0.21811537073706977,
            -0.6126201322420363,
            0.217107908638521,
            0.24112276040233446,
            -0.6126201322420363,
            0.1898719042873106,
            0.26133625626648743,
            -0.6126201322420363,
            0.16086208071592248,
            0.2786212968112234,
            -0.6126201322420363,
            0.13039732277927613,
            0.29287718218091197,
            -0.6126201322420363,
            0.0987855447976071,
            0.3040306449344838,
            -0.6126201322420363,
            0.06632410788784293,
            0.3120303949534435,
            -0.6126201322420363,
            0.03330152406750711,
            0.31684283685932757,
            -0.6126201322420363,
            9.020926623239542e-17,
            0.3184490226334704,
            -0.6126201322420363,
            -0.03330152406750707,
            0.3168428368593276,
            -0.6126201322420363,
            -0.06632410788784296,
            0.3120303949534435,
            -0.6126201322420363,
            -0.09878554479760705,
            0.30403064493448384,
            -0.6126201322420363,
            -0.13039732277927604,
            0.292877182180912,
            -0.6126201322420363,
            -0.16086208071592237,
            0.27862129681122344,
            -0.6126201322420363,
            -0.18987190428731057,
            0.26133625626648743,
            -0.6126201322420363,
            -0.2171079086385209,
            0.24112276040233452,
            -0.6126201322420363,
            -0.24224166041719877,
            0.21811537073706985,
            -0.6126201322420363,
            -0.2649390572756425,
            0.19248949244040245,
            -0.6126201322420363,
            -0.28486724230077265,
            0.16446817902565739,
            -0.6126201322420363,
            -0.3017049020004535,
            0.1343276768688026,
            -0.6126201322420363,
            -0.31515581075245447,
            0.10240033029572286,
            -0.6126201322420363,
            -0.32496474182929147,
            0.0690733881872206,
            -0.6126201322420363,
            -0.3309339968881412,
            0.03478256466634177,
            -0.6126201322420363,
            -0.33293809776810535,
            1.886273743414127e-16,
            -0.6126201322420363,
            -0.3309339968881412,
            -0.03478256466634169,
            -0.6126201322420363,
            -0.32496474182929147,
            -0.06907338818722052,
            -0.6126201322420363,
            -0.3151558107524545,
            -0.10240033029572278,
            -0.6126201322420363,
            -0.3017049020004535,
            -0.13432767686880265,
            -0.6126201322420363,
            -0.28486724230077265,
            -0.16446817902565733,
            -0.6126201322420363,
            -0.26493905727564254,
            -0.19248949244040237,
            -0.6126201322420363,
            -0.2422416604171988,
            -0.21811537073706977,
            -0.6126201322420363,
            -0.21710790863852109,
            -0.24112276040233438,
            -0.6126201322420363,
            -0.18987190428731066,
            -0.2613362562664874,
            -0.6126201322420363,
            -0.1608620807159226,
            -0.27862129681122333,
            -0.6126201322420363,
            -0.13039732277927632,
            -0.29287718218091185,
            -0.6126201322420363,
            -0.09878554479760712,
            -0.3040306449344838,
            -0.6126201322420363,
            -0.06632410788784311,
            -0.3120303949534434,
            -0.6126201322420363,
            -0.03330152406750736,
            -0.31684283685932757,
            -0.6126201322420363,
            -5.849813643895238e-17,
            -0.3184490226334704,
            -0.6126201322420363,
            0.03330152406750696,
            -0.3168428368593276,
            -0.6126201322420363,
            0.06632410788784299,
            -0.3120303949534434,
            -0.6126201322420363,
            0.09878554479760703,
            -0.30403064493448384,
            -0.6126201322420363,
            0.13039732277927593,
            -0.2928771821809121,
            -0.6126201322420363,
            0.16086208071592248,
            -0.2786212968112234,
            -0.6126201322420363,
            0.18987190428731054,
            -0.2613362562664875,
            -0.6126201322420363,
            0.21710790863852109,
            -0.24112276040233438,
            -0.6126201322420363,
            0.2422416604171988,
            -0.21811537073706974,
            -0.6126201322420363,
            0.2649390572756425,
            -0.19248949244040248,
            -0.6126201322420363,
            0.28486724230077265,
            -0.1644681790256573,
            -0.6126201322420363,
            0.3017049020004535,
            -0.13432767686880265,
            -0.6126201322420363,
            0.31515581075245447,
            -0.10240033029572289,
            -0.6126201322420363,
            0.32496474182929147,
            -0.06907338818722049,
            -0.6126201322420363,
            0.3309339968881411,
            -0.03478256466634181,
            -0.6126201322420363,
            0.33293809776810535,
            -3.772547486828254e-16,
            -0.6475461553938109,
            0.33229891320259874,
            0,
            -0.647526968801991,
            0.330296996778146,
            0.03471561325691663,
            -0.6474706262353791,
            0.32433447613036825,
            0.06893942107731892,
            -0.6473806371610175,
            0.3145373222053479,
            0.10219937118487342,
            -0.6472624102070931,
            0.30110390506504053,
            0.13406009579337427,
            -0.6471226962418357,
            0.28429013201985165,
            0.16413498424961556,
            -0.646968976776192,
            0.2643927611007497,
            0.19209258503645613,
            -0.6468088950660971,
            0.24173338132332903,
            0.2176577141853174,
            -0.6466497938546993,
            0.21664481979732314,
            0.24060844813982232,
            -0.6464983853109224,
            0.1894608478620123,
            0.26077048563441335,
            -0.6463605478698542,
            0.16050930556000348,
            0.2780102723175236,
            -0.6462412263516631,
            0.13010827698920463,
            0.2922279747070692,
            -0.6461444049617852,
            0.09856472451634815,
            0.30335102999017877,
            -0.6460731238574985,
            0.0661749551014945,
            0.31132868626387605,
            -0.6460295150507512,
            0.03322636271400732,
            0.3161277243492579,
            -0.6460148397232683,
            9.000541877891477e-17,
            0.3177294178185947,
            -0.6460295150507512,
            -0.03322636271400728,
            0.31612772434925795,
            -0.6460731238574985,
            -0.06617495510149453,
            0.31132868626387605,
            -0.6461444049617852,
            -0.09856472451634811,
            0.30335102999017877,
            -0.6462412263516631,
            -0.13010827698920452,
            0.2922279747070692,
            -0.6463605478698542,
            -0.16050930556000337,
            0.2780102723175237,
            -0.6464983853109224,
            -0.18946084786201225,
            0.26077048563441335,
            -0.6466497938546993,
            -0.21664481979732303,
            0.24060844813982238,
            -0.6468088950660971,
            -0.241733381323329,
            0.21765771418531749,
            -0.646968976776192,
            -0.26439276110074966,
            0.19209258503645615,
            -0.6471226962418357,
            -0.28429013201985165,
            0.16413498424961556,
            -0.6472624102070931,
            -0.30110390506504053,
            0.13406009579337422,
            -0.6473806371610175,
            -0.3145373222053479,
            0.10219937118487346,
            -0.6474706262353791,
            -0.32433447613036825,
            0.06893942107731892,
            -0.647526968801991,
            -0.330296996778146,
            0.03471561325691658,
            -0.6475461553938109,
            -0.33229891320259874,
            1.8826524183954728e-16,
            -0.647526968801991,
            -0.330296996778146,
            -0.034715613256916494,
            -0.6474706262353791,
            -0.32433447613036825,
            -0.06893942107731883,
            -0.6473806371610175,
            -0.31453732220534797,
            -0.10219937118487338,
            -0.6472624102070931,
            -0.30110390506504053,
            -0.13406009579337427,
            -0.6471226962418357,
            -0.2842901320198517,
            -0.16413498424961548,
            -0.646968976776192,
            -0.2643927611007497,
            -0.19209258503645607,
            -0.6468088950660971,
            -0.24173338132332903,
            -0.2176577141853174,
            -0.6466497938546993,
            -0.2166448197973232,
            -0.24060844813982224,
            -0.6464983853109224,
            -0.18946084786201234,
            -0.2607704856344133,
            -0.6463605478698542,
            -0.1605093055600036,
            -0.2780102723175236,
            -0.6462412263516631,
            -0.1301082769892048,
            -0.29222797470706907,
            -0.6461444049617852,
            -0.09856472451634818,
            -0.30335102999017877,
            -0.6460731238574985,
            -0.06617495510149467,
            -0.311328686263876,
            -0.6460295150507512,
            -0.033226362714007564,
            -0.3161277243492579,
            -0.6460148397232683,
            -5.836594717897409e-17,
            -0.3177294178185947,
            -0.6460295150507512,
            0.03322636271400717,
            -0.31612772434925795,
            -0.6460731238574985,
            0.06617495510149456,
            -0.311328686263876,
            -0.6461444049617852,
            0.09856472451634808,
            -0.30335102999017877,
            -0.6462412263516631,
            0.13010827698920444,
            -0.29222797470706924,
            -0.6463605478698542,
            0.16050930556000348,
            -0.2780102723175236,
            -0.6464983853109224,
            0.18946084786201223,
            -0.2607704856344134,
            -0.6466497938546993,
            0.2166448197973232,
            -0.24060844813982224,
            -0.6468088950660971,
            0.24173338132332903,
            -0.21765771418531737,
            -0.646968976776192,
            0.26439276110074966,
            -0.19209258503645618,
            -0.6471226962418357,
            0.2842901320198517,
            -0.16413498424961548,
            -0.6472624102070931,
            0.30110390506504053,
            -0.13406009579337427,
            -0.6473806371610175,
            0.3145373222053479,
            -0.10219937118487349,
            -0.6474706262353791,
            0.32433447613036825,
            -0.0689394210773188,
            -0.647526968801991,
            0.330296996778146,
            -0.03471561325691662,
            -0.6475461553938109,
            0.33229891320259874,
            -3.7653048367909456e-16,
            -0.6824356052079056,
            0.3284559762227075,
            0,
            -0.6823974961500399,
            0.32647835316098145,
            0.034314257639782395,
            -0.6822855866155312,
            0.3205880661320225,
            0.06814309704946436,
            -0.6821068470726113,
            0.3109092112534005,
            0.10102052647646738,
            -0.6818720198557793,
            0.2976372353111564,
            0.13251663497645358,
            -0.6815945128931764,
            0.28102433246411324,
            0.16224947399699063,
            -0.6812891850507861,
            0.2613630474327733,
            0.18989136920899216,
            -0.6809712165017984,
            0.23897053181668645,
            0.21517003331575008,
            -0.6806551909944327,
            0.21417518122693674,
            0.2378656366364464,
            -0.6803544406119546,
            0.18730650901229554,
            0.25780529259109447,
            -0.6800806423864678,
            0.15868837361313454,
            0.27485632566842133,
            -0.6798436198073153,
            0.12863519927743355,
            0.2889193879956127,
            -0.6796512888872538,
            0.09745060981997775,
            0.2999221375306346,
            -0.6795096906445619,
            0.06542786106557413,
            0.30781388516787334,
            -0.6794230619705977,
            0.03285152681921825,
            0.3125613990357101,
            -0.6793939093666869,
            8.899029714026916e-17,
            0.3141459223842344,
            -0.6794230619705977,
            -0.03285152681921821,
            0.3125613990357101,
            -0.6795096906445619,
            -0.06542786106557417,
            0.30781388516787334,
            -0.6796512888872538,
            -0.09745060981997772,
            0.2999221375306346,
            -0.6798436198073153,
            -0.12863519927743347,
            0.28891938799561273,
            -0.6800806423864678,
            -0.15868837361313443,
            0.2748563256684214,
            -0.6803544406119546,
            -0.1873065090122955,
            0.25780529259109447,
            -0.6806551909944327,
            -0.21417518122693663,
            0.23786563663644644,
            -0.6809712165017984,
            -0.2389705318166864,
            0.21517003331575016,
            -0.6812891850507857,
            -0.26136304743277194,
            0.18989136920899125,
            -0.6815945128931764,
            -0.28102433246411324,
            0.16224947399699063,
            -0.6818720198557793,
            -0.29763723531115643,
            0.13251663497645352,
            -0.6821068470726113,
            -0.3109092112534005,
            0.10102052647646742,
            -0.6822855866155312,
            -0.3205880661320225,
            0.06814309704946436,
            -0.6823974961500399,
            -0.32647835316098145,
            0.03431425763978234,
            -0.6824356052079056,
            -0.3284559762227075,
            1.8608801094546895e-16,
            -0.6823974961500399,
            -0.32647835316098145,
            -0.03431425763978226,
            -0.6822855866155312,
            -0.3205880661320225,
            -0.06814309704946428,
            -0.6821068470726113,
            -0.3109092112534005,
            -0.10102052647646734,
            -0.6818720198557793,
            -0.2976372353111564,
            -0.13251663497645358,
            -0.6815945128931764,
            -0.2810243324641133,
            -0.16224947399699055,
            -0.6812891850507861,
            -0.2613630474327733,
            -0.18989136920899213,
            -0.6809712165017984,
            -0.23897053181668645,
            -0.21517003331575008,
            -0.6806551909944327,
            -0.21417518122693682,
            -0.2378656366364463,
            -0.6803544406119546,
            -0.18730650901229556,
            -0.2578052925910944,
            -0.6800806423864678,
            -0.15868837361313465,
            -0.2748563256684213,
            -0.6798436198073153,
            -0.12863519927743372,
            -0.28891938799561256,
            -0.6796512888872538,
            -0.09745060981997779,
            -0.2999221375306346,
            -0.6795096906445619,
            -0.0654278610655743,
            -0.3078138851678733,
            -0.6794230619705977,
            -0.0328515268192185,
            -0.3125613990357101,
            -0.6793939093666869,
            -5.770766974695682e-17,
            -0.3141459223842344,
            -0.6794230619705977,
            0.0328515268192181,
            -0.3125613990357101,
            -0.6795096906445619,
            0.06542786106557419,
            -0.3078138851678733,
            -0.6796512888872538,
            0.09745060981997768,
            -0.2999221375306346,
            -0.6798436198073153,
            0.12863519927743336,
            -0.2889193879956128,
            -0.6800806423864678,
            0.15868837361313454,
            -0.27485632566842133,
            -0.6803544406119546,
            0.18730650901229545,
            -0.2578052925910945,
            -0.6806551909944327,
            0.21417518122693682,
            -0.2378656366364463,
            -0.6809712165017984,
            0.23897053181668645,
            -0.21517003331575005,
            -0.6812891850507857,
            0.26136304743277194,
            -0.18989136920899127,
            -0.6815945128931764,
            0.2810243324641133,
            -0.16224947399699055,
            -0.6818720198557793,
            0.29763723531115643,
            -0.13251663497645358,
            -0.6821068470726113,
            0.3109092112534005,
            -0.10102052647646745,
            -0.6822855866155312,
            0.3205880661320225,
            -0.06814309704946425,
            -0.6823974961500399,
            0.32647835316098145,
            -0.03431425763978238,
            -0.6824356052079056,
            0.3284559762227075,
            -3.721760218909379e-16,
            -0.7170276368371422,
            0.32133325804990676,
            0,
            -0.7169719794236209,
            0.3194026033122319,
            0.03357056636299836,
            -0.7168085201897133,
            0.31365172033859007,
            0.06666873123705805,
            -0.7165473915690187,
            0.3042003865865141,
            0.09884069720362283,
            -0.7162042203386448,
            0.29123741731211217,
            0.1296672524225252,
            -0.7157985313581089,
            0.27500676564795834,
            0.15877523017581704,
            -0.715351990679101,
            0.255791878125268,
            0.18584367777637137,
            -0.7148867661326693,
            0.23390062429560474,
            0.21060506807955212,
            -0.7144241893020313,
            0.20965245019039055,
            0.23284263494605173,
            -0.7139837939060402,
            0.18336858656225521,
            0.2523852073266415,
            -0.7135827174987597,
            0.1553654432576353,
            0.26910084146268376,
            -0.7132354004933618,
            0.12595086393710184,
            0.282890272107737,
            -0.7129534964342503,
            0.09542269981681992,
            0.29368087229904266,
            -0.7127459098882802,
            0.06406912220535707,
            0.30142152141517764,
            -0.712618892431419,
            0.032170154202576046,
            0.3060785716318489,
            -0.7125761450427824,
            8.714532931399958e-17,
            0.3076329750385353,
            -0.712618892431419,
            -0.032170154202576004,
            0.3060785716318489,
            -0.7127459098882802,
            -0.06406912220535711,
            0.30142152141517764,
            -0.7129534964342503,
            -0.09542269981681988,
            0.2936808722990427,
            -0.7132354004933618,
            -0.12595086393710175,
            0.282890272107737,
            -0.7135827174987597,
            -0.15536544325763518,
            0.26910084146268376,
            -0.7139837939060402,
            -0.1833685865622552,
            0.2523852073266415,
            -0.7144241893020313,
            -0.20965245019039044,
            0.2328426349460518,
            -0.7148867661326693,
            -0.2339006242956047,
            0.21060506807955218,
            -0.715351990679101,
            -0.25579187812526794,
            0.18584367777637142,
            -0.7157985313581089,
            -0.27500676564795834,
            0.15877523017581704,
            -0.7162042203386448,
            -0.29123741731211217,
            0.12966725242252516,
            -0.7165473915690187,
            -0.3042003865865141,
            0.09884069720362286,
            -0.7168085201897133,
            -0.31365172033859007,
            0.06666873123705805,
            -0.7169719794236209,
            -0.31940260331223197,
            0.0335705663629983,
            -0.7170276368371422,
            -0.32133325804990676,
            1.8205260725897025e-16,
            -0.7169719794236209,
            -0.31940260331223197,
            -0.033570566362998225,
            -0.7168085201897133,
            -0.31365172033859007,
            -0.06666873123705797,
            -0.7165473915690187,
            -0.3042003865865141,
            -0.09884069720362279,
            -0.7162042203386448,
            -0.29123741731211217,
            -0.12966725242252522,
            -0.7157985313581089,
            -0.2750067656479584,
            -0.15877523017581696,
            -0.715351990679101,
            -0.255791878125268,
            -0.18584367777637134,
            -0.7148867661326693,
            -0.23390062429560474,
            -0.21060506807955212,
            -0.7144241893020313,
            -0.20965245019039064,
            -0.23284263494605167,
            -0.7139837939060402,
            -0.18336858656225524,
            -0.25238520732664144,
            -0.7135827174987597,
            -0.1553654432576354,
            -0.2691008414626837,
            -0.7132354004933618,
            -0.125950863937102,
            -0.2828902721077369,
            -0.7129534964342503,
            -0.09542269981681994,
            -0.29368087229904266,
            -0.7127459098882802,
            -0.06406912220535724,
            -0.30142152141517764,
            -0.712618892431419,
            -0.03217015420257628,
            -0.3060785716318489,
            -0.7125761450427824,
            -5.651126072896797e-17,
            -0.3076329750385353,
            -0.712618892431419,
            0.0321701542025759,
            -0.3060785716318489,
            -0.7127459098882802,
            0.06406912220535714,
            -0.30142152141517764,
            -0.7129534964342503,
            0.09542269981681985,
            -0.2936808722990427,
            -0.7132354004933618,
            0.12595086393710164,
            -0.28289027210773704,
            -0.7135827174987597,
            0.1553654432576353,
            -0.26910084146268376,
            -0.7139837939060402,
            0.18336858656225516,
            -0.2523852073266415,
            -0.7144241893020313,
            0.20965245019039064,
            -0.23284263494605167,
            -0.7148867661326693,
            0.23390062429560474,
            -0.21060506807955207,
            -0.715351990679101,
            0.25579187812526794,
            -0.18584367777637145,
            -0.7157985313581089,
            0.2750067656479584,
            -0.15877523017581696,
            -0.7162042203386448,
            0.29123741731211217,
            -0.1296672524225252,
            -0.7165473915690187,
            0.3042003865865141,
            -0.0988406972036229,
            -0.7168085201897133,
            0.31365172033859007,
            -0.06666873123705794,
            -0.7169719794236209,
            0.3194026033122319,
            -0.03357056636299834,
            -0.7170276368371422,
            0.32133325804990676,
            -3.641052145179405e-16,
            -0.7510295149013793,
            0.31087256330626484,
            0,
            -0.7509588572035932,
            0.30901174046379465,
            0.03247844266956283,
            -0.7507512964135719,
            0.30346801830013287,
            0.0645041185466916,
            -0.750419569063539,
            0.2943544669411258,
            0.09564156398330967,
            -0.7499833488760317,
            0.28184963535357604,
            0.12548754260316297,
            -0.7494672719434435,
            0.26618477947917724,
            0.15368185408648413,
            -0.748898751626637,
            0.24762941537716615,
            0.17991330145661585,
            -0.7483059246326674,
            0.22647730892725623,
            0.20392108489979277,
            -0.7477159581390632,
            0.2030344290067135,
            0.22549257779605533,
            -0.7471538163488487,
            0.1776096600778532,
            0.24445872503218793,
            -0.7466414764530418,
            0.15050843379299667,
            0.26068825429708664,
            -0.7461975171592586,
            0.12202901323490573,
            0.2740816512088424,
            -0.7458369759281073,
            0.09246095320084617,
            0.2845655534977758,
            -0.7455713720986611,
            0.06208521145880973,
            0.2920879551824532,
            -0.7454088092095621,
            0.031175431414850498,
            0.29661441649850767,
            -0.745354091293386,
            8.445203923946476e-17,
            0.2981253531752279,
            -0.7454088092095621,
            -0.031175431414850456,
            0.2966144164985077,
            -0.7455713720986611,
            -0.06208521145880977,
            0.2920879551824532,
            -0.7458369759281073,
            -0.09246095320084613,
            0.2845655534977758,
            -0.7461975171592586,
            -0.12202901323490566,
            0.2740816512088424,
            -0.7466414764530418,
            -0.15050843379299655,
            0.2606882542970867,
            -0.7471538163488487,
            -0.1776096600778532,
            0.24445872503218793,
            -0.7477159581390632,
            -0.2030344290067134,
            0.22549257779605536,
            -0.7483059246326674,
            -0.2264773089272562,
            0.20392108489979285,
            -0.748898751626637,
            -0.24762941537716612,
            0.17991330145661588,
            -0.7494672719434435,
            -0.26618477947917724,
            0.15368185408648413,
            -0.7499833488760317,
            -0.2818496353535761,
            0.12548754260316294,
            -0.750419569063539,
            -0.2943544669411258,
            0.0956415639833097,
            -0.7507512964135719,
            -0.30346801830013287,
            0.0645041185466916,
            -0.7509588572035932,
            -0.3090117404637947,
            0.032478442669562776,
            -0.7510295149013793,
            -0.31087256330626484,
            1.7612605996231773e-16,
            -0.7509588572035932,
            -0.3090117404637947,
            -0.0324784426695627,
            -0.7507512964135719,
            -0.30346801830013287,
            -0.06450411854669151,
            -0.750419569063539,
            -0.2943544669411258,
            -0.09564156398330963,
            -0.7499833488760317,
            -0.28184963535357604,
            -0.125487542603163,
            -0.7494672719434435,
            -0.2661847794791773,
            -0.15368185408648405,
            -0.748898751626637,
            -0.24762941537716615,
            -0.17991330145661585,
            -0.7483059246326674,
            -0.22647730892725623,
            -0.20392108489979277,
            -0.7477159581390632,
            -0.20303442900671356,
            -0.22549257779605525,
            -0.7471538163488487,
            -0.17760966007785323,
            -0.2444587250321879,
            -0.7466414764530418,
            -0.15050843379299675,
            -0.26068825429708664,
            -0.7461975171592586,
            -0.12202901323490589,
            -0.2740816512088423,
            -0.7458369759281073,
            -0.0924609532008462,
            -0.2845655534977758,
            -0.7455713720986611,
            -0.062085211458809894,
            -0.2920879551824531,
            -0.7454088092095621,
            -0.031175431414850727,
            -0.29661441649850767,
            -0.745354091293386,
            -5.476473892660756e-17,
            -0.2981253531752279,
            -0.7454088092095621,
            0.031175431414850355,
            -0.2966144164985077,
            -0.7455713720986611,
            0.06208521145880978,
            -0.2920879551824531,
            -0.7458369759281073,
            0.09246095320084612,
            -0.2845655534977758,
            -0.7461975171592586,
            0.12202901323490555,
            -0.2740816512088425,
            -0.7466414764530418,
            0.15050843379299667,
            -0.26068825429708664,
            -0.7471538163488487,
            0.17760966007785317,
            -0.244458725032188,
            -0.7477159581390632,
            0.20303442900671356,
            -0.22549257779605525,
            -0.7483059246326674,
            0.22647730892725623,
            -0.20392108489979274,
            -0.748898751626637,
            0.24762941537716612,
            -0.17991330145661594,
            -0.7494672719434435,
            0.2661847794791773,
            -0.15368185408648405,
            -0.7499833488760317,
            0.2818496353535761,
            -0.12548754260316297,
            -0.750419569063539,
            0.2943544669411258,
            -0.09564156398330974,
            -0.7507512964135719,
            0.30346801830013287,
            -0.06450411854669148,
            -0.7509588572035932,
            0.30901174046379465,
            -0.03247844266956282,
            -0.7510295149013793,
            0.31087256330626484,
            -3.5225211992463545e-16,
            -0.7841162403103022,
            0.2970399724745596,
            0,
            -0.7840342787903493,
            0.2952715725887574,
            0.031034292832635018,
            -0.7837934269882528,
            0.29000202563466787,
            0.06164183344624661,
            -0.7834082308466441,
            0.28133551286216346,
            0.09141144937870305,
            -0.7829012141649078,
            0.2694369730379647,
            0.11996106927920452,
            -0.782300680416324,
            0.25452082226143147,
            0.14694766524700234,
            -0.7816382599089888,
            0.23683809454514773,
            0.17207294793880432,
            -0.7809465774550199,
            0.2166638406986658,
            0.1950849984181816,
            -0.7802573002572755,
            0.19428614806010794,
            0.2157766274935134,
            -0.7795996852684494,
            0.16999752826144213,
            0.23398152442383632,
            -0.7789996259513903,
            0.14408886822109376,
            0.24956924056403093,
            -0.7784791217448075,
            0.11684575588574744,
            0.26243986459402363,
            -0.7780560596743887,
            0.08854679002494191,
            0.27251899792947765,
            -0.777744195124832,
            0.05946342271018192,
            0.27975340889496697,
            -0.777553234278156,
            0.029860908737431077,
            0.2841075686621989,
            -0.7774889434641713,
            8.089289230773702e-17,
            0.2855611576202197,
            -0.777553234278156,
            -0.02986090873743104,
            0.28410756866219894,
            -0.777744195124832,
            -0.05946342271018196,
            0.27975340889496697,
            -0.7780560596743887,
            -0.08854679002494187,
            0.27251899792947765,
            -0.7784791217448075,
            -0.11684575588574736,
            0.26243986459402363,
            -0.7789996259513903,
            -0.14408886822109368,
            0.24956924056403096,
            -0.7795996852684494,
            -0.1699975282614421,
            0.23398152442383632,
            -0.7802573002572755,
            -0.19428614806010783,
            0.21577662749351345,
            -0.7809465774550199,
            -0.21666384069866573,
            0.1950849984181817,
            -0.7816382599089888,
            -0.23683809454514768,
            0.17207294793880434,
            -0.782300680416324,
            -0.25452082226143147,
            0.14694766524700234,
            -0.7829012141649078,
            -0.2694369730379647,
            0.11996106927920448,
            -0.7834082308466441,
            -0.28133551286216346,
            0.09141144937870309,
            -0.7837934269882528,
            -0.29000202563466787,
            0.06164183344624661,
            -0.7840342787903493,
            -0.29527157258875747,
            0.031034292832634973,
            -0.7841162403103022,
            -0.2970399724745596,
            1.6828915182109026e-16,
            -0.7840342787903493,
            -0.29527157258875747,
            -0.0310342928326349,
            -0.7837934269882528,
            -0.29000202563466787,
            -0.06164183344624653,
            -0.7834082308466441,
            -0.28133551286216346,
            -0.09141144937870302,
            -0.7829012141649078,
            -0.2694369730379647,
            -0.11996106927920454,
            -0.782300680416324,
            -0.2545208222614315,
            -0.14694766524700226,
            -0.7816382599089888,
            -0.23683809454514773,
            -0.17207294793880426,
            -0.7809465774550199,
            -0.2166638406986658,
            -0.1950849984181816,
            -0.7802573002572755,
            -0.19428614806010802,
            -0.2157766274935133,
            -0.7795996852684494,
            -0.16999752826144218,
            -0.23398152442383627,
            -0.7789996259513903,
            -0.14408886822109387,
            -0.2495692405640309,
            -0.7784791217448075,
            -0.11684575588574761,
            -0.2624398645940236,
            -0.7780560596743887,
            -0.08854679002494194,
            -0.27251899792947765,
            -0.777744195124832,
            -0.05946342271018209,
            -0.2797534088949669,
            -0.777553234278156,
            -0.029860908737431302,
            -0.2841075686621989,
            -0.7774889434641713,
            -5.245673364606222e-17,
            -0.2855611576202197,
            -0.777553234278156,
            0.029860908737430945,
            -0.28410756866219894,
            -0.777744195124832,
            0.05946342271018198,
            -0.2797534088949669,
            -0.7780560596743887,
            0.08854679002494185,
            -0.27251899792947765,
            -0.7784791217448075,
            0.11684575588574728,
            -0.2624398645940237,
            -0.7789996259513903,
            0.14408886822109376,
            -0.24956924056403093,
            -0.7795996852684494,
            0.16999752826144207,
            -0.23398152442383635,
            -0.7802573002572755,
            0.19428614806010802,
            -0.2157766274935133,
            -0.7809465774550199,
            0.2166638406986658,
            -0.19508499841818158,
            -0.7816382599089888,
            0.23683809454514768,
            -0.17207294793880434,
            -0.782300680416324,
            0.2545208222614315,
            -0.14694766524700226,
            -0.7829012141649078,
            0.2694369730379647,
            -0.11996106927920452,
            -0.7834082308466441,
            0.28133551286216346,
            -0.09141144937870312,
            -0.7837934269882528,
            0.29000202563466787,
            -0.061641833446246505,
            -0.7840342787903493,
            0.2952715725887574,
            -0.03103429283263501,
            -0.7841162403103022,
            0.2970399724745596,
            -3.365783036421805e-16,
            -0.8159309454824524,
            0.2798333275803999,
            0,
            -0.815842379855428,
            0.2781791389863134,
            0.029237805670020794,
            -0.8155819958043519,
            0.27324850539578616,
            0.05808076278840079,
            -0.8151651754281961,
            0.2651349036570908,
            0.08614755235700282,
            -0.8146158174491613,
            0.25398683982200715,
            0.11308222677962199,
            -0.813964096877926,
            0.2399983229502974,
            0.13856309636041292,
            -0.8132439356588288,
            0.22339788819509568,
            0.16230806644032378,
            -0.8124905588883395,
            0.20443768616812932,
            0.18407651943267625,
            -0.8117384058987158,
            0.1833838021220967,
            0.20366834565376088,
            -0.8110195311662366,
            0.16050848540345272,
            0.22092097739152355,
            -0.8103625109672584,
            0.13608451749417966,
            0.2357052984234148,
            -0.8097917909597572,
            0.11038161633387741,
            0.24792116944887482,
            -0.8093273701895102,
            0.08366458548435786,
            0.25749311738979985,
            -0.8089847093791913,
            0.056192844431811384,
            0.26436654785113867,
            -0.8087747634042393,
            0.02822098000857446,
            0.268504689056907,
            -0.8087040591164343,
            7.645258688162207e-17,
            0.26988637184491304,
            -0.8087747634042393,
            -0.028220980008574422,
            0.26850468905690705,
            -0.8089847093791913,
            -0.05619284443181141,
            0.26436654785113867,
            -0.8093273701895102,
            -0.08366458548435783,
            0.25749311738979985,
            -0.8097917909597572,
            -0.11038161633387734,
            0.24792116944887485,
            -0.8103625109672584,
            -0.13608451749417957,
            0.23570529842341487,
            -0.8110195311662366,
            -0.16050848540345267,
            0.22092097739152355,
            -0.8117384058987158,
            -0.1833838021220966,
            0.20366834565376096,
            -0.8124905588883395,
            -0.2044376861681293,
            0.18407651943267628,
            -0.8132439356588288,
            -0.22339788819509562,
            0.1623080664403238,
            -0.813964096877926,
            -0.2399983229502974,
            0.13856309636041292,
            -0.8146158174491613,
            -0.2539868398220072,
            0.11308222677962196,
            -0.8151651754281961,
            -0.2651349036570908,
            0.08614755235700285,
            -0.8155819958043519,
            -0.27324850539578616,
            0.05808076278840079,
            -0.815842379855428,
            -0.27817913898631347,
            0.029237805670020746,
            -0.8159309454824524,
            -0.2798333275803999,
            1.5854066022650251e-16,
            -0.815842379855428,
            -0.27817913898631347,
            -0.02923780567002068,
            -0.8155819958043519,
            -0.27324850539578616,
            -0.05808076278840072,
            -0.8151651754281961,
            -0.2651349036570908,
            -0.08614755235700279,
            -0.8146158174491613,
            -0.25398683982200715,
            -0.113082226779622,
            -0.813964096877926,
            -0.23999832295029744,
            -0.13856309636041286,
            -0.8132439356588288,
            -0.22339788819509568,
            -0.16230806644032375,
            -0.8124905588883395,
            -0.20443768616812932,
            -0.18407651943267625,
            -0.8117384058987158,
            -0.18338380212209673,
            -0.20366834565376085,
            -0.8110195311662366,
            -0.16050848540345272,
            -0.22092097739152353,
            -0.8103625109672584,
            -0.13608451749417974,
            -0.23570529842341478,
            -0.8097917909597572,
            -0.11038161633387757,
            -0.2479211694488747,
            -0.8093273701895102,
            -0.08366458548435789,
            -0.25749311738979985,
            -0.8089847093791913,
            -0.05619284443181153,
            -0.2643665478511386,
            -0.8087747634042393,
            -0.02822098000857467,
            -0.268504689056907,
            -0.8087040591164343,
            -4.957732221200476e-17,
            -0.26988637184491304,
            -0.8087747634042393,
            0.02822098000857433,
            -0.26850468905690705,
            -0.8089847093791913,
            0.05619284443181144,
            -0.2643665478511386,
            -0.8093273701895102,
            0.0836645854843578,
            -0.25749311738979985,
            -0.8097917909597572,
            0.11038161633387725,
            -0.24792116944887485,
            -0.8103625109672584,
            0.13608451749417966,
            -0.2357052984234148,
            -0.8110195311662366,
            0.16050848540345267,
            -0.22092097739152358,
            -0.8117384058987158,
            0.18338380212209673,
            -0.20366834565376085,
            -0.8124905588883395,
            0.20443768616812932,
            -0.1840765194326762,
            -0.8132439356588288,
            0.22339788819509562,
            -0.16230806644032383,
            -0.813964096877926,
            0.23999832295029744,
            -0.13856309636041284,
            -0.8146158174491613,
            0.2539868398220072,
            -0.11308222677962199,
            -0.8151651754281961,
            0.2651349036570908,
            -0.08614755235700289,
            -0.8155819958043519,
            0.27324850539578616,
            -0.0580807627884007,
            -0.815842379855428,
            0.2781791389863134,
            -0.02923780567002078,
            -0.8159309454824524,
            0.2798333275803999,
            -3.1708132045300503e-16,
            -0.8460866549412576,
            0.259290841903409,
            0,
            -0.8459968969950467,
            0.25777127933501937,
            0.027092853187962278,
            -0.8457328483768171,
            0.253240359627207,
            0.053827900118439,
            -0.845309670719528,
            0.2457795511295232,
            0.07985861709326476,
            -0.8447510204245425,
            0.23551884270249263,
            0.10485974470181869,
            -0.8440869475462273,
            0.22262910018671836,
            0.12853497092224597,
            -0.8433514875942683,
            0.20731313769329832,
            0.15062181114841242,
            -0.8425802868207938,
            0.18979668074953288,
            0.1708936989411854,
            -0.8418085175460053,
            0.17032016259816388,
            0.1891597041092638,
            -0.8410692254267813,
            0.14913194662324802,
            0.20526251509691065,
            -0.840392143216173,
            0.1264832229578443,
            0.21907536846804856,
            -0.8398029276631768,
            0.10262455856273935,
            0.2304985324375993,
            -0.839322733261233,
            0.07780391128581156,
            0.2394558168921861,
            -0.838968023107036,
            0.05226583887622887,
            0.24589143927425605,
            -0.8387505235288072,
            0.026251617203421364,
            0.24976745358609037,
            -0.8386772462797719,
            7.112003665363307e-17,
            0.2510618599164793,
            -0.8387505235288072,
            -0.026251617203421333,
            0.24976745358609037,
            -0.838968023107036,
            -0.0522658388762289,
            0.24589143927425605,
            -0.839322733261233,
            -0.07780391128581153,
            0.23945581689218612,
            -0.8398029276631768,
            -0.10262455856273929,
            0.2304985324375993,
            -0.840392143216173,
            -0.12648322295784423,
            0.2190753684680486,
            -0.8410692254267813,
            -0.149131946623248,
            0.20526251509691065,
            -0.8418085175460053,
            -0.1703201625981638,
            0.18915970410926386,
            -0.8425802868207938,
            -0.18979668074953288,
            0.17089369894118545,
            -0.8433514875942683,
            -0.20731313769329826,
            0.15062181114841244,
            -0.8440869475462273,
            -0.22262910018671836,
            0.12853497092224597,
            -0.8447510204245425,
            -0.23551884270249263,
            0.10485974470181866,
            -0.845309670719528,
            -0.2457795511295232,
            0.07985861709326479,
            -0.8457328483768171,
            -0.253240359627207,
            0.053827900118439,
            -0.8459968969950467,
            -0.25777127933501937,
            0.027092853187962236,
            -0.8460866549412576,
            -0.259290841903409,
            1.4690223506076563e-16,
            -0.8459968969950467,
            -0.25777127933501937,
            -0.027092853187962174,
            -0.8457328483768171,
            -0.253240359627207,
            -0.05382790011843893,
            -0.845309670719528,
            -0.24577955112952327,
            -0.07985861709326472,
            -0.8447510204245425,
            -0.23551884270249263,
            -0.1048597447018187,
            -0.8440869475462273,
            -0.2226291001867184,
            -0.12853497092224592,
            -0.8433514875942683,
            -0.20731313769329832,
            -0.1506218111484124,
            -0.8425802868207938,
            -0.18979668074953288,
            -0.1708936989411854,
            -0.8418085175460053,
            -0.17032016259816393,
            -0.18915970410926375,
            -0.8410692254267813,
            -0.14913194662324805,
            -0.20526251509691062,
            -0.840392143216173,
            -0.1264832229578444,
            -0.2190753684680485,
            -0.8398029276631768,
            -0.1026245585627395,
            -0.23049853243759919,
            -0.839322733261233,
            -0.07780391128581159,
            -0.2394558168921861,
            -0.838968023107036,
            -0.052265838876229015,
            -0.24589143927425602,
            -0.8387505235288072,
            -0.026251617203421562,
            -0.24976745358609037,
            -0.8386772462797719,
            -4.6119315470204627e-17,
            -0.2510618599164793,
            -0.8387505235288072,
            0.02625161720342125,
            -0.24976745358609037,
            -0.838968023107036,
            0.052265838876228925,
            -0.24589143927425602,
            -0.839322733261233,
            0.0778039112858115,
            -0.23945581689218612,
            -0.8398029276631768,
            0.1026245585627392,
            -0.23049853243759935,
            -0.840392143216173,
            0.1264832229578443,
            -0.21907536846804856,
            -0.8410692254267813,
            0.14913194662324797,
            -0.2052625150969107,
            -0.8418085175460053,
            0.17032016259816393,
            -0.18915970410926375,
            -0.8425802868207938,
            0.18979668074953288,
            -0.17089369894118536,
            -0.8433514875942683,
            0.20731313769329826,
            -0.15062181114841247,
            -0.8440869475462273,
            0.2226291001867184,
            -0.12853497092224592,
            -0.8447510204245425,
            0.23551884270249263,
            -0.10485974470181869,
            -0.845309670719528,
            0.2457795511295232,
            -0.07985861709326482,
            -0.8457328483768171,
            0.253240359627207,
            -0.05382790011843891,
            -0.8459968969950467,
            0.25777127933501937,
            -0.02709285318796227,
            -0.8460866549412576,
            0.259290841903409,
            -2.9380447012153127e-16,
            -0.874170185830103,
            0.2355007260370121,
            0,
            -0.8740849078846598,
            0.23413426444607824,
            0.02460850281409671,
            -0.8738338608268827,
            0.2300582592780297,
            0.04890039257592845,
            -0.8734309702359349,
            0.22334148380512822,
            0.07256804707416883,
            -0.8728980736972176,
            0.2140942299551852,
            0.09532089253509053,
            -0.8722631108726655,
            0.20246252622406932,
            0.11689179401627806,
            -0.8715580107074472,
            0.1886212710273034,
            0.13704137508776137,
            -0.8708165559681296,
            0.17276712956752954,
            0.15556022218433255,
            -0.8700724480045698,
            0.15511190613692172,
            0.17226922415467635,
            -0.8693577085732775,
            0.13587687790464478,
            0.1870184781580221,
            -0.8687014691763666,
            0.11528833572243447,
            0.19968525499131443,
            -0.8681291305665304,
            0.0935743752807866,
            0.21017148797576024,
            -0.8676618330149947,
            0.07096284145983649,
            0.21840116891211625,
            -0.8673161599359553,
            0.047680249461760894,
            0.2243179372452443,
            -0.867103997428818,
            0.023951474523477775,
            0.2278830578323948,
            -0.8670324834683911,
            6.489135736673522e-17,
            0.22907390996353247,
            -0.867103997428818,
            -0.023951474523477744,
            0.22788305783239482,
            -0.8673161599359553,
            -0.04768024946176092,
            0.2243179372452443,
            -0.8676618330149947,
            -0.07096284145983646,
            0.21840116891211628,
            -0.8681291305665304,
            -0.09357437528078653,
            0.2101714879757603,
            -0.8687014691763666,
            -0.1152883357224344,
            0.19968525499131445,
            -0.8693577085732775,
            -0.13587687790464473,
            0.1870184781580221,
            -0.8700724480045698,
            -0.15511190613692163,
            0.1722692241546764,
            -0.8708165559681296,
            -0.17276712956752951,
            0.15556022218433257,
            -0.8715580107074472,
            -0.1886212710273034,
            0.13704137508776137,
            -0.8722631108726655,
            -0.20246252622406932,
            0.11689179401627806,
            -0.8728980736972176,
            -0.21409422995518523,
            0.0953208925350905,
            -0.8734309702359349,
            -0.22334148380512822,
            0.07256804707416885,
            -0.8738338608268827,
            -0.2300582592780297,
            0.04890039257592845,
            -0.8740849078846598,
            -0.2341342644460783,
            0.024608502814096673,
            -0.874170185830103,
            -0.2355007260370121,
            1.3342385237870325e-16,
            -0.8740849078846598,
            -0.2341342644460783,
            -0.02460850281409662,
            -0.8738338608268827,
            -0.2300582592780297,
            -0.04890039257592839,
            -0.8734309702359349,
            -0.22334148380512825,
            -0.0725680470741688,
            -0.8728980736972176,
            -0.2140942299551852,
            -0.09532089253509055,
            -0.8722631108726655,
            -0.20246252622406932,
            -0.11689179401627803,
            -0.8715580107074472,
            -0.1886212710273034,
            -0.13704137508776132,
            -0.8708165559681296,
            -0.17276712956752954,
            -0.15556022218433255,
            -0.8700724480045698,
            -0.15511190613692177,
            -0.1722692241546763,
            -0.8693577085732775,
            -0.13587687790464478,
            -0.1870184781580221,
            -0.8687014691763666,
            -0.11528833572243455,
            -0.19968525499131437,
            -0.8681291305665304,
            -0.09357437528078673,
            -0.21017148797576019,
            -0.8676618330149947,
            -0.07096284145983651,
            -0.21840116891211625,
            -0.8673161599359553,
            -0.047680249461761026,
            -0.2243179372452443,
            -0.867103997428818,
            -0.023951474523477956,
            -0.2278830578323948,
            -0.8670324834683911,
            -4.208019459075135e-17,
            -0.22907390996353247,
            -0.867103997428818,
            0.023951474523477664,
            -0.22788305783239482,
            -0.8673161599359553,
            0.04768024946176094,
            -0.2243179372452443,
            -0.8676618330149947,
            0.07096284145983645,
            -0.21840116891211628,
            -0.8681291305665304,
            0.09357437528078645,
            -0.21017148797576032,
            -0.8687014691763666,
            0.11528833572243447,
            -0.19968525499131443,
            -0.8693577085732775,
            0.13587687790464473,
            -0.18701847815802214,
            -0.8700724480045698,
            0.15511190613692177,
            -0.1722692241546763,
            -0.8708165559681296,
            0.17276712956752954,
            -0.1555602221843325,
            -0.8715580107074472,
            0.1886212710273034,
            -0.1370413750877614,
            -0.8722631108726655,
            0.20246252622406932,
            -0.116891794016278,
            -0.8728980736972176,
            0.21409422995518523,
            -0.09532089253509053,
            -0.8734309702359349,
            0.22334148380512822,
            -0.07256804707416888,
            -0.8738338608268827,
            0.2300582592780297,
            -0.04890039257592837,
            -0.8740849078846598,
            0.23413426444607824,
            -0.024608502814096704,
            -0.874170185830103,
            0.2355007260370121,
            -2.668477047574065e-16,
            -0.899749106852963,
            0.20861141107740977,
            0,
            -0.8996736400778393,
            0.20741408648207643,
            0.021800098943027525,
            -0.8994513013571769,
            0.20384111104104208,
            0.04332776568988108,
            -0.8990939410872303,
            0.19794853346870891,
            0.06431737736440218,
            -0.8986202480652159,
            0.18982674998090807,
            0.08451631433039188,
            -0.8980543273292991,
            0.17959641897193182,
            0.10369004083893761,
            -0.8974240044004052,
            0.16740351585048005,
            0.12162577360299329,
            -0.8967590618878973,
            0.15341408670256457,
            0.13813466411924863,
            -0.8960895825242514,
            0.13780919549322387,
            0.15305261717331722,
            -0.8954445174029113,
            0.12078043173463075,
            0.16624000258624852,
            -0.8948505376581168,
            0.10252619611548855,
            0.177580580778797,
            -0.8943311758909607,
            0.08324884431199092,
            0.18697996570975836,
            -0.8939062274049259,
            0.06315266307548252,
            0.19436391147618803,
            -0.8935913618532695,
            0.04244258265149148,
            0.19967665226623482,
            -0.8933978905857884,
            0.021323491076780422,
            0.20287946554085215,
            -0.8933326397859096,
            5.777421248027157e-17,
            0.2039495748736497,
            -0.8933978905857884,
            -0.021323491076780398,
            0.20287946554085215,
            -0.8935913618532695,
            -0.0424425826514915,
            0.19967665226623482,
            -0.8939062274049259,
            -0.06315266307548249,
            0.19436391147618803,
            -0.8943311758909607,
            -0.08324884431199087,
            0.18697996570975836,
            -0.8948505376581168,
            -0.1025261961154885,
            0.17758058077879704,
            -0.8954445174029113,
            -0.12078043173463071,
            0.16624000258624852,
            -0.8960895825242514,
            -0.1378091954932238,
            0.15305261717331725,
            -0.8967590618878973,
            -0.15341408670256457,
            0.13813466411924866,
            -0.8974240044004052,
            -0.16740351585048002,
            0.12162577360299331,
            -0.8980543273292991,
            -0.17959641897193182,
            0.10369004083893761,
            -0.8986202480652159,
            -0.18982674998090807,
            0.08451631433039185,
            -0.8990939410872303,
            -0.19794853346870891,
            0.06431737736440221,
            -0.8994513013571769,
            -0.20384111104104208,
            0.04332776568988108,
            -0.8996736400778393,
            -0.20741408648207643,
            0.02180009894302749,
            -0.899749106852963,
            -0.20861141107740977,
            1.1818960639522976e-16,
            -0.8996736400778393,
            -0.20741408648207643,
            -0.021800098943027438,
            -0.8994513013571769,
            -0.20384111104104208,
            -0.043327765689881025,
            -0.8990939410872303,
            -0.19794853346870891,
            -0.06431737736440216,
            -0.8986202480652159,
            -0.18982674998090807,
            -0.08451631433039189,
            -0.8980543273292991,
            -0.17959641897193182,
            -0.10369004083893757,
            -0.8974240044004052,
            -0.16740351585048005,
            -0.12162577360299326,
            -0.8967590618878973,
            -0.15341408670256457,
            -0.13813466411924863,
            -0.8960895825242514,
            -0.1378091954932239,
            -0.15305261717331717,
            -0.8954445174029113,
            -0.12078043173463077,
            -0.16624000258624852,
            -0.8948505376581168,
            -0.10252619611548863,
            -0.17758058077879696,
            -0.8943311758909607,
            -0.08324884431199103,
            -0.18697996570975828,
            -0.8939062274049259,
            -0.06315266307548253,
            -0.19436391147618803,
            -0.8935913618532695,
            -0.042442582651491596,
            -0.1996766522662348,
            -0.8933978905857884,
            -0.021323491076780582,
            -0.20287946554085215,
            -0.8933326397859096,
            -3.7464929108471784e-17,
            -0.2039495748736497,
            -0.8933978905857884,
            0.021323491076780325,
            -0.20287946554085215,
            -0.8935913618532695,
            0.04244258265149151,
            -0.1996766522662348,
            -0.8939062274049259,
            0.06315266307548247,
            -0.19436391147618803,
            -0.8943311758909607,
            0.0832488443119908,
            -0.1869799657097584,
            -0.8948505376581168,
            0.10252619611548855,
            -0.177580580778797,
            -0.8954445174029113,
            0.12078043173463068,
            -0.16624000258624858,
            -0.8960895825242514,
            0.1378091954932239,
            -0.15305261717331717,
            -0.8967590618878973,
            0.15341408670256457,
            -0.13813466411924857,
            -0.8974240044004052,
            0.16740351585048002,
            -0.12162577360299333,
            -0.8980543273292991,
            0.17959641897193182,
            -0.10369004083893756,
            -0.8986202480652159,
            0.18982674998090807,
            -0.08451631433039188,
            -0.8990939410872303,
            0.19794853346870891,
            -0.06431737736440223,
            -0.8994513013571769,
            0.20384111104104208,
            -0.04332776568988101,
            -0.8996736400778393,
            0.20741408648207643,
            -0.021800098943027514,
            -0.899749106852963,
            0.20861141107740977,
            -2.363792127904595e-16,
            -0.9223826928696508,
            0.17884149776322092,
            0,
            -0.9223213245430779,
            0.1778265484009468,
            0.018690323379616312,
            -0.9221403738929599,
            0.1747965362369192,
            0.03715415073434897,
            -0.9218490726174176,
            0.169795364827574,
            0.05516985836153085,
            -0.9214620672526721,
            0.16289426708823485,
            0.07252520037999234,
            -0.9209984120194561,
            0.15418913988870986,
            0.0890211414208635,
            -0.920480339316176,
            0.1437972479365995,
            0.10447481603607067,
            -0.9199319405030859,
            0.13185362641749085,
            0.11872153848164527,
            -0.9193778765899998,
            0.11850749099498681,
            0.13161590260004022,
            -0.918842209418992,
            0.10391890359360854,
            0.1430321001014297,
            -0.9183474084015528,
            0.08825586259465396,
            0.15286363807975822,
            -0.9179135541722716,
            0.07169190479078359,
            0.1610226545513397,
            -0.9175577340717549,
            0.05440423616763729,
            0.16743902200573177,
            -0.917293607379309,
            0.0365723552024578,
            0.17205940346002407,
            -0.9171311104233955,
            0.018377096363647892,
            0.17484639241411465,
            -0.9170762714594489,
            4.9793807774757945e-17,
            0.17577783393360727,
            -0.9171311104233955,
            -0.01837709636364787,
            0.17484639241411468,
            -0.917293607379309,
            -0.03657235520245782,
            0.17205940346002407,
            -0.9175577340717549,
            -0.05440423616763727,
            0.16743902200573177,
            -0.9179135541722716,
            -0.07169190479078354,
            0.16102265455133974,
            -0.9183474084015528,
            -0.0882558625946539,
            0.15286363807975825,
            -0.918842209418992,
            -0.10391890359360853,
            0.1430321001014297,
            -0.9193778765899998,
            -0.11850749099498675,
            0.13161590260004027,
            -0.9199319405030859,
            -0.13185362641749082,
            0.1187215384816453,
            -0.920480339316176,
            -0.1437972479365995,
            0.10447481603607069,
            -0.9209984120194561,
            -0.15418913988870986,
            0.0890211414208635,
            -0.9214620672526721,
            -0.16289426708823487,
            0.07252520037999233,
            -0.9218490726174176,
            -0.169795364827574,
            0.05516985836153087,
            -0.9221403738929599,
            -0.1747965362369192,
            0.03715415073434897,
            -0.9223213245430779,
            -0.1778265484009468,
            0.01869032337961628,
            -0.9223826928696508,
            -0.17884149776322092,
            1.0132334620911523e-16,
            -0.9223213245430779,
            -0.1778265484009468,
            -0.01869032337961624,
            -0.9221403738929599,
            -0.1747965362369192,
            -0.037154150734348926,
            -0.9218490726174176,
            -0.16979536482757404,
            -0.05516985836153083,
            -0.9214620672526721,
            -0.16289426708823485,
            -0.07252520037999236,
            -0.9209984120194561,
            -0.1541891398887099,
            -0.08902114142086345,
            -0.920480339316176,
            -0.1437972479365995,
            -0.10447481603607064,
            -0.9199319405030859,
            -0.13185362641749085,
            -0.11872153848164527,
            -0.9193778765899998,
            -0.11850749099498685,
            -0.1316159026000402,
            -0.918842209418992,
            -0.10391890359360857,
            -0.14303210010142967,
            -0.9183474084015528,
            -0.08825586259465401,
            -0.1528636380797582,
            -0.9179135541722716,
            -0.07169190479078369,
            -0.16102265455133966,
            -0.9175577340717549,
            -0.0544042361676373,
            -0.16743902200573177,
            -0.917293607379309,
            -0.0365723552024579,
            -0.17205940346002405,
            -0.9171311104233955,
            -0.018377096363648027,
            -0.17484639241411465,
            -0.9170762714594489,
            -3.228986425317707e-17,
            -0.17577783393360727,
            -0.9171311104233955,
            0.01837709636364781,
            -0.17484639241411468,
            -0.917293607379309,
            0.036572355202457836,
            -0.17205940346002405,
            -0.9175577340717549,
            0.054404236167637246,
            -0.16743902200573177,
            -0.9179135541722716,
            0.07169190479078348,
            -0.16102265455133974,
            -0.9183474084015528,
            0.08825586259465396,
            -0.15286363807975822,
            -0.918842209418992,
            0.1039189035936085,
            -0.1430321001014297,
            -0.9193778765899998,
            0.11850749099498685,
            -0.1316159026000402,
            -0.9199319405030859,
            0.13185362641749085,
            -0.11872153848164524,
            -0.920480339316176,
            0.1437972479365995,
            -0.10447481603607071,
            -0.9209984120194561,
            0.1541891398887099,
            -0.08902114142086344,
            -0.9214620672526721,
            0.16289426708823487,
            -0.07252520037999234,
            -0.9218490726174176,
            0.169795364827574,
            -0.05516985836153089,
            -0.9221403738929599,
            0.1747965362369192,
            -0.03715415073434891,
            -0.9223213245430779,
            0.1778265484009468,
            -0.018690323379616305,
            -0.9223826928696508,
            0.17884149776322092,
            -2.0264669241823045e-16,
            -0.9416375718416561,
            0.1464880020765193,
            0,
            -0.9415928403578239,
            0.14566571883461912,
            0.015310083982537685,
            -0.9414608390973208,
            0.1432099207685645,
            0.03044020835560236,
            -0.9412480064639241,
            0.13915341228882255,
            0.045213684450656606,
            -0.9409646182901121,
            0.13354973402764317,
            0.05946017250443223,
            -0.9406241575120995,
            0.12647157950742505,
            0.07301840047344899,
            -0.9402425253547867,
            0.11800879079342624,
            0.08573840518991166,
            -0.9398371667799394,
            0.10826610180660846,
            0.09748323592703195,
            -0.9394261803943297,
            0.09736079644936914,
            0.108130118990407,
            -0.9390274716647324,
            0.08542042703031279,
            0.11757113140344966,
            -0.9386579919416143,
            0.072580703817426,
            0.12571346666089014,
            -0.9383330883522776,
            0.05898362658786308,
            0.1324793943745749,
            -0.9380659741743745,
            0.044775890169839294,
            0.13780602003808162,
            -0.9378673177082404,
            0.03010756237372255,
            0.1416449444664158,
            -0.9377449406077996,
            0.015131006305648684,
            0.14396190855108165,
            -0.9377036138842605,
            4.100051102514577e-17,
            0.14473649114708903,
            -0.9377449406077996,
            -0.015131006305648667,
            0.14396190855108165,
            -0.9378673177082404,
            -0.030107562373722568,
            0.1416449444664158,
            -0.9380659741743745,
            -0.04477589016983927,
            0.13780602003808162,
            -0.9383330883522776,
            -0.05898362658786305,
            0.13247939437457493,
            -0.9386579919416143,
            -0.07258070381742596,
            0.12571346666089017,
            -0.9390274716647324,
            -0.08542042703031277,
            0.11757113140344966,
            -0.9394261803943297,
            -0.09736079644936911,
            0.10813011899040705,
            -0.9398371667799394,
            -0.10826610180660846,
            0.09748323592703198,
            -0.9402425253547867,
            -0.11800879079342623,
            0.08573840518991167,
            -0.9406241575120995,
            -0.12647157950742505,
            0.07301840047344899,
            -0.9409646182901121,
            -0.13354973402764317,
            0.05946017250443222,
            -0.9412480064639241,
            -0.13915341228882255,
            0.04521368445065661,
            -0.9414608390973208,
            -0.1432099207685645,
            0.03044020835560236,
            -0.9415928403578239,
            -0.14566571883461912,
            0.015310083982537661,
            -0.9416375718416561,
            -0.1464880020765193,
            8.299334738032581e-17,
            -0.9415928403578239,
            -0.14566571883461912,
            -0.015310083982537626,
            -0.9414608390973208,
            -0.1432099207685645,
            -0.030440208355602325,
            -0.9412480064639241,
            -0.13915341228882258,
            -0.045213684450656585,
            -0.9409646182901121,
            -0.13354973402764317,
            -0.05946017250443224,
            -0.9406241575120995,
            -0.12647157950742505,
            -0.07301840047344896,
            -0.9402425253547867,
            -0.11800879079342624,
            -0.08573840518991165,
            -0.9398371667799394,
            -0.10826610180660846,
            -0.09748323592703195,
            -0.9394261803943297,
            -0.09736079644936918,
            -0.10813011899040699,
            -0.9390274716647324,
            -0.0854204270303128,
            -0.11757113140344964,
            -0.9386579919416143,
            -0.07258070381742605,
            -0.12571346666089014,
            -0.9383330883522776,
            -0.05898362658786317,
            -0.13247939437457487,
            -0.9380659741743745,
            -0.0447758901698393,
            -0.13780602003808162,
            -0.9378673177082404,
            -0.03010756237372263,
            -0.14164494446641576,
            -0.9377449406077996,
            -0.015131006305648799,
            -0.14396190855108165,
            -0.9377036138842605,
            -2.6587662090465274e-17,
            -0.14473649114708903,
            -0.9377449406077996,
            0.015131006305648615,
            -0.14396190855108165,
            -0.9378673177082404,
            0.030107562373722575,
            -0.14164494446641576,
            -0.9380659741743745,
            0.04477589016983925,
            -0.13780602003808162,
            -0.9383330883522776,
            0.058983626587863,
            -0.13247939437457493,
            -0.9386579919416143,
            0.072580703817426,
            -0.12571346666089014,
            -0.9390274716647324,
            0.08542042703031275,
            -0.11757113140344969,
            -0.9394261803943297,
            0.09736079644936918,
            -0.10813011899040699,
            -0.9398371667799394,
            0.10826610180660846,
            -0.09748323592703192,
            -0.9402425253547867,
            0.11800879079342623,
            -0.08573840518991169,
            -0.9406241575120995,
            0.12647157950742505,
            -0.07301840047344894,
            -0.9409646182901121,
            0.13354973402764317,
            -0.05946017250443223,
            -0.9412480064639241,
            0.13915341228882255,
            -0.045213684450656634,
            -0.9414608390973208,
            0.1432099207685645,
            -0.03044020835560231,
            -0.9415928403578239,
            0.14566571883461912,
            -0.015310083982537682,
            -0.9416375718416561,
            0.1464880020765193,
            -1.6598669476065163e-16,
            -0.9571081185650188,
            0.11193093187194905,
            0,
            -0.9570802525461068,
            0.1113087578971835,
            0.011699021877155798,
            -0.9569979612946167,
            0.10944996233851473,
            0.023264307669588105,
            -0.9568650918098662,
            0.10637754273437611,
            0.034564158871256495,
            -0.9566878174366531,
            0.10212923685442844,
            0.04547086585626128,
            -0.9564743017988758,
            0.09675668158745715,
            0.05586249616041328,
            -0.9562342678156799,
            0.09032432081749321,
            0.06562446038710877,
            -0.9559785043447431,
            0.08290813348102148,
            0.0746508186914969,
            -0.9557183441089085,
            0.07459425628855594,
            0.08284531456844645,
            -0.9554651440310278,
            0.06547757081501818,
            0.09012214466616196,
            -0.9552297939687845,
            0.055660313607356925,
            0.0964064911331595,
            -0.955022273381059,
            0.04525075297269661,
            0.10163485522353206,
            -0.9548512688803601,
            0.03436195955434736,
            0.10575523722549676,
            -0.9547238598696368,
            0.023110681649678125,
            0.10872720873964696,
            -0.95464527509811,
            0.0116163218699406,
            0.11052191988817127,
            -0.9546187202086094,
            3.147832257054717e-17,
            0.11112207731418183,
            -0.95464527509811,
            -0.011616321869940584,
            0.11052191988817128,
            -0.9547238598696368,
            -0.023110681649678135,
            0.10872720873964696,
            -0.9548512688803601,
            -0.03436195955434735,
            0.10575523722549679,
            -0.955022273381059,
            -0.04525075297269658,
            0.10163485522353208,
            -0.9552297939687845,
            -0.0556603136073569,
            0.09640649113315952,
            -0.9554651440310278,
            -0.06547757081501815,
            0.09012214466616196,
            -0.9557183441089085,
            -0.0745942562885559,
            0.08284531456844647,
            -0.9559785043447431,
            -0.08290813348102147,
            0.07465081869149692,
            -0.9562342678156799,
            -0.09032432081749321,
            0.06562446038710879,
            -0.9564743017988758,
            -0.09675668158745715,
            0.05586249616041328,
            -0.9566878174366531,
            -0.10212923685442847,
            0.04547086585626126,
            -0.9568650918098662,
            -0.10637754273437611,
            0.03456415887125651,
            -0.9569979612946167,
            -0.10944996233851473,
            0.023264307669588105,
            -0.9570802525461068,
            -0.11130875789718353,
            0.011699021877155777,
            -0.9571081185650188,
            -0.11193093187194905,
            6.341490483705133e-17,
            -0.9570802525461068,
            -0.11130875789718353,
            -0.011699021877155753,
            -0.9569979612946167,
            -0.10944996233851473,
            -0.023264307669588074,
            -0.9568650918098662,
            -0.10637754273437613,
            -0.03456415887125649,
            -0.9566878174366531,
            -0.10212923685442844,
            -0.04547086585626128,
            -0.9564743017988758,
            -0.09675668158745716,
            -0.05586249616041326,
            -0.9562342678156799,
            -0.09032432081749321,
            -0.06562446038710876,
            -0.9559785043447431,
            -0.08290813348102148,
            -0.0746508186914969,
            -0.9557183441089085,
            -0.07459425628855597,
            -0.08284531456844642,
            -0.9554651440310278,
            -0.06547757081501818,
            -0.09012214466616196,
            -0.9552297939687845,
            -0.055660313607356966,
            -0.0964064911331595,
            -0.955022273381059,
            -0.04525075297269667,
            -0.10163485522353204,
            -0.9548512688803601,
            -0.03436195955434738,
            -0.10575523722549676,
            -0.9547238598696368,
            -0.023110681649678187,
            -0.10872720873964696,
            -0.95464527509811,
            -0.011616321869940684,
            -0.11052191988817127,
            -0.9546187202086094,
            -2.0412794444612625e-17,
            -0.11112207731418183,
            -0.95464527509811,
            0.011616321869940547,
            -0.11052191988817128,
            -0.9547238598696368,
            0.023110681649678146,
            -0.10872720873964696,
            -0.9548512688803601,
            0.034361959554347336,
            -0.10575523722549679,
            -0.955022273381059,
            0.04525075297269654,
            -0.1016348552235321,
            -0.9552297939687845,
            0.055660313607356925,
            -0.0964064911331595,
            -0.9554651440310278,
            0.06547757081501815,
            -0.09012214466616199,
            -0.9557183441089085,
            0.07459425628855597,
            -0.08284531456844642,
            -0.9559785043447431,
            0.08290813348102148,
            -0.0746508186914969,
            -0.9562342678156799,
            0.09032432081749321,
            -0.0656244603871088,
            -0.9564743017988758,
            0.09675668158745716,
            -0.05586249616041325,
            -0.9566878174366531,
            0.10212923685442847,
            -0.04547086585626128,
            -0.9568650918098662,
            0.10637754273437611,
            -0.03456415887125652,
            -0.9569979612946167,
            0.10944996233851473,
            -0.023264307669588064,
            -0.9570802525461068,
            0.1113087578971835,
            -0.011699021877155793,
            -0.9571081185650188,
            0.11193093187194905,
            -1.2682980967410267e-16,
            -0.9684405432563199,
            0.07563196313721017,
            0,
            -0.9684272127251174,
            0.07521482535992897,
            0.007905396700096743,
            -0.9683878235501338,
            0.07396826223819716,
            0.015722439494057723,
            -0.9683241531368618,
            0.07190674273474687,
            0.023363917006471696,
            -0.9682390662778486,
            0.06905411356051003,
            0.030744872195692236,
            -0.9681363754451964,
            0.0654432103921715,
            0.037783655136553525,
            -0.9680206577085131,
            0.06111533919167989,
            0.04440289303622822,
            -0.9678970392198867,
            0.05611964998061706,
            0.0505303598071268,
            -0.9677709593930964,
            0.050512427712788535,
            0.056099734372227886,
            -0.9676479270802145,
            0.044356324961524494,
            0.061051243735586534,
            -0.9675332803587854,
            0.03771955922758973,
            0.06533219302128887,
            -0.9674319602178946,
            0.030675094210645043,
            0.06889738964008506,
            -0.9673483067370284,
            0.02329981991181582,
            0.0717094721617437,
            -0.9672858845389033,
            0.015673741509801446,
            0.07373915623519421,
            -0.967247342566327,
            0.007879182096252487,
            0.07496541006493167,
            -0.9672343117116367,
            2.1352161388786253e-17,
            0.07537557070749439,
            -0.967247342566327,
            -0.007879182096252478,
            0.07496541006493168,
            -0.9672858845389033,
            -0.015673741509801453,
            0.07373915623519421,
            -0.9673483067370284,
            -0.02329981991181581,
            0.07170947216174371,
            -0.9674319602178946,
            -0.030675094210645022,
            0.06889738964008507,
            -0.9675332803587854,
            -0.03771955922758971,
            0.06533219302128888,
            -0.9676479270802145,
            -0.04435632496152448,
            0.061051243735586534,
            -0.9677709593930964,
            -0.05051242771278851,
            0.05609973437222791,
            -0.9678970392198867,
            -0.05611964998061705,
            0.050530359807126814,
            -0.9680206577085131,
            -0.06111533919167989,
            0.04440289303622823,
            -0.9681363754451964,
            -0.0654432103921715,
            0.037783655136553525,
            -0.9682390662778486,
            -0.06905411356051003,
            0.030744872195692226,
            -0.9683241531368618,
            -0.07190674273474687,
            0.023363917006471707,
            -0.9683878235501338,
            -0.07396826223819716,
            0.015722439494057723,
            -0.9684272127251174,
            -0.07521482535992899,
            0.00790539670009673,
            -0.9684405432563199,
            -0.07563196313721017,
            4.284958290593423e-17,
            -0.9684272127251174,
            -0.07521482535992899,
            -0.007905396700096712,
            -0.9683878235501338,
            -0.07396826223819716,
            -0.015722439494057702,
            -0.9683241531368618,
            -0.07190674273474688,
            -0.023363917006471686,
            -0.9682390662778486,
            -0.06905411356051003,
            -0.030744872195692236,
            -0.9681363754451964,
            -0.06544321039217152,
            -0.03778365513655351,
            -0.9680206577085131,
            -0.06111533919167989,
            -0.04440289303622821,
            -0.9678970392198867,
            -0.05611964998061706,
            -0.0505303598071268,
            -0.9677709593930964,
            -0.05051242771278855,
            -0.056099734372227865,
            -0.9676479270802145,
            -0.0443563249615245,
            -0.061051243735586534,
            -0.9675332803587854,
            -0.03771955922758976,
            -0.06533219302128887,
            -0.9674319602178946,
            -0.030675094210645085,
            -0.06889738964008504,
            -0.9673483067370284,
            -0.023299819911815827,
            -0.0717094721617437,
            -0.9672858845389033,
            -0.015673741509801487,
            -0.0737391562351942,
            -0.967247342566327,
            -0.007879182096252548,
            -0.07496541006493167,
            -0.9672343117116367,
            -1.3846267710125697e-17,
            -0.07537557070749439,
            -0.967247342566327,
            0.007879182096252452,
            -0.07496541006493168,
            -0.9672858845389033,
            0.01567374150980146,
            -0.0737391562351942,
            -0.9673483067370284,
            0.0232998199118158,
            -0.07170947216174371,
            -0.9674319602178946,
            0.030675094210644998,
            -0.06889738964008507,
            -0.9675332803587854,
            0.03771955922758973,
            -0.06533219302128887,
            -0.9676479270802145,
            0.04435632496152448,
            -0.06105124373558654,
            -0.9677709593930964,
            0.05051242771278855,
            -0.056099734372227865,
            -0.9678970392198867,
            0.05611964998061706,
            -0.05053035980712679,
            -0.9680206577085131,
            0.06111533919167989,
            -0.044402893036228235,
            -0.9681363754451964,
            0.06544321039217152,
            -0.037783655136553504,
            -0.9682390662778486,
            0.06905411356051003,
            -0.030744872195692236,
            -0.9683241531368618,
            0.07190674273474687,
            -0.02336391700647171,
            -0.9683878235501338,
            0.07396826223819716,
            -0.0157224394940577,
            -0.9684272127251174,
            0.07521482535992897,
            -0.00790539670009674,
            -0.9684405432563199,
            0.07563196313721017,
            -8.569916581186846e-17,
            -0.975358201391113,
            0.03812530735966169,
            0,
            -0.9753547172556691,
            0.03791608874550497,
            0.003985141511861822,
            -0.9753444184548292,
            0.03729076093248262,
            0.007926395925867292,
            -0.9753277588597731,
            0.03625627896266388,
            0.011780379147084262,
            -0.9753054721157917,
            0.034824138426627495,
            0.015504705368689831,
            -0.9752785386149878,
            0.033010233560641804,
            0.01905846723224896,
            -0.97524814154535,
            0.030834663058606583,
            0.02240269404879354,
            -0.9752156141294752,
            0.028321487725493005,
            0.025500782088565536,
            -0.9751823805410741,
            0.025498444821450604,
            0.028318891927384664,
            -0.9751498932218096,
            0.022396624393177827,
            0.030826308894353633,
            -0.9751195694124128,
            0.01905011306401525,
            0.03299576371680602,
            -0.9750927296682348,
            0.01549561068355608,
            0.034803711429369985,
            -0.9750705409659611,
            0.011772024968428647,
            0.03623056744454887,
            -0.9750539667453666,
            0.007920048859144565,
            0.03726090033127202,
            -0.9750437258896243,
            0.003981724841233048,
            0.037883581295922786,
            -0.9750402622505664,
            1.0790554396634872e-17,
            0.03809189060943352,
            -0.9750437258896243,
            -0.003981724841233043,
            0.037883581295922786,
            -0.9750539667453666,
            -0.007920048859144569,
            0.03726090033127202,
            -0.9750705409659611,
            -0.011772024968428642,
            0.036230567444548875,
            -0.9750927296682348,
            -0.01549561068355607,
            0.03480371142936999,
            -0.9751195694124128,
            -0.019050113064015238,
            0.03299576371680603,
            -0.9751498932218096,
            -0.022396624393177824,
            0.030826308894353633,
            -0.9751823805410741,
            -0.025498444821450594,
            0.028318891927384675,
            -0.9752156141294752,
            -0.028321487725493002,
            0.025500782088565547,
            -0.97524814154535,
            -0.03083466305860658,
            0.022402694048793543,
            -0.9752785386149878,
            -0.033010233560641804,
            0.01905846723224896,
            -0.9753054721157917,
            -0.034824138426627495,
            0.015504705368689828,
            -0.9753277588597731,
            -0.03625627896266388,
            0.011780379147084264,
            -0.9753444184548292,
            -0.03729076093248262,
            0.007926395925867292,
            -0.9753547172556691,
            -0.03791608874550498,
            0.003985141511861816,
            -0.975358201391113,
            -0.03812530735966169,
            2.1600041183094812e-17,
            -0.9753547172556691,
            -0.03791608874550498,
            -0.003985141511861807,
            -0.9753444184548292,
            -0.03729076093248262,
            -0.007926395925867283,
            -0.9753277588597731,
            -0.03625627896266389,
            -0.011780379147084257,
            -0.9753054721157917,
            -0.034824138426627495,
            -0.015504705368689834,
            -0.9752785386149878,
            -0.033010233560641804,
            -0.019058467232248952,
            -0.97524814154535,
            -0.030834663058606583,
            -0.022402694048793532,
            -0.9752156141294752,
            -0.028321487725493005,
            -0.025500782088565536,
            -0.9751823805410741,
            -0.025498444821450614,
            -0.02831889192738466,
            -0.9751498932218096,
            -0.022396624393177834,
            -0.030826308894353626,
            -0.9751195694124128,
            -0.019050113064015262,
            -0.032995763716806015,
            -0.9750927296682348,
            -0.015495610683556102,
            -0.03480371142936997,
            -0.9750705409659611,
            -0.01177202496842865,
            -0.03623056744454887,
            -0.9750539667453666,
            -0.007920048859144586,
            -0.037260900331272016,
            -0.9750437258896243,
            -0.003981724841233078,
            -0.037883581295922786,
            -0.9750402622505664,
            -6.997366786247082e-18,
            -0.03809189060943352,
            -0.9750437258896243,
            0.00398172484123303,
            -0.037883581295922786,
            -0.9750539667453666,
            0.007920048859144572,
            -0.037260900331272016,
            -0.9750705409659611,
            0.011772024968428638,
            -0.036230567444548875,
            -0.9750927296682348,
            0.015495610683556055,
            -0.03480371142937,
            -0.9751195694124128,
            0.01905011306401525,
            -0.03299576371680602,
            -0.9751498932218096,
            0.02239662439317782,
            -0.030826308894353636,
            -0.9751823805410741,
            0.025498444821450614,
            -0.02831889192738466,
            -0.9752156141294752,
            0.028321487725493005,
            -0.02550078208856553,
            -0.97524814154535,
            0.03083466305860658,
            -0.022402694048793546,
            -0.9752785386149878,
            0.033010233560641804,
            -0.01905846723224895,
            -0.9753054721157917,
            0.034824138426627495,
            -0.015504705368689831,
            -0.9753277588597731,
            0.03625627896266388,
            -0.011780379147084269,
            -0.9753444184548292,
            0.03729076093248262,
            -0.00792639592586728,
            -0.9753547172556691,
            0.03791608874550497,
            -0.0039851415118618205,
            -0.975358201391113,
            0.03812530735966169,
            -4.3200082366189625e-17,
            -0.9776843646360955,
            2.0682856087685438e-16,
            0,
            -0.9776843646360955,
            2.0569553237954152e-16,
            2.1619471628317898e-17,
            -0.9776843646360955,
            2.02308860584921e-16,
            4.300207580131066e-17,
            -0.9776843646360955,
            1.967056505778812e-16,
            6.391354023306138e-17,
            -0.9776843646360955,
            1.8894729229980647e-16,
            8.412475454325053e-17,
            -0.9776843646360955,
            1.791187879475322e-16,
            1.0341428043842717e-16,
            -0.9776843646360955,
            1.673278206714886e-16,
            1.21570777836291e-16,
            -0.9776843646360955,
            1.5370357477657057e-16,
            1.383953203518596e-16,
            -0.9776843646360955,
            1.383953203518596e-16,
            1.5370357477657057e-16,
            -0.9776843646360955,
            1.21570777836291e-16,
            1.673278206714886e-16,
            -0.9776843646360955,
            1.034142804384272e-16,
            1.7911878794753217e-16,
            -0.9776843646360955,
            8.412475454325056e-17,
            1.8894729229980647e-16,
            -0.9776843646360955,
            6.391354023306139e-17,
            1.967056505778812e-16,
            -0.9776843646360955,
            4.300207580131064e-17,
            2.02308860584921e-16,
            -0.9776843646360955,
            2.1619471628317898e-17,
            2.0569553237954152e-16,
            -0.9776843646360955,
            5.858976283961859e-32,
            2.0682856087685438e-16,
            -0.9776843646360955,
            -2.1619471628317876e-17,
            2.0569553237954152e-16,
            -0.9776843646360955,
            -4.3002075801310663e-17,
            2.02308860584921e-16,
            -0.9776843646360955,
            -6.391354023306136e-17,
            1.9670565057788123e-16,
            -0.9776843646360955,
            -8.412475454325052e-17,
            1.8894729229980647e-16,
            -0.9776843646360955,
            -1.0341428043842713e-16,
            1.791187879475322e-16,
            -0.9776843646360955,
            -1.2157077783629096e-16,
            1.673278206714886e-16,
            -0.9776843646360955,
            -1.3839532035185954e-16,
            1.537035747765706e-16,
            -0.9776843646360955,
            -1.5370357477657052e-16,
            1.3839532035185964e-16,
            -0.9776843646360955,
            -1.6732782067148856e-16,
            1.2157077783629101e-16,
            -0.9776843646360955,
            -1.791187879475322e-16,
            1.0341428043842717e-16,
            -0.9776843646360955,
            -1.8894729229980647e-16,
            8.412475454325049e-17,
            -0.9776843646360955,
            -1.967056505778812e-16,
            6.391354023306139e-17,
            -0.9776843646360955,
            -2.02308860584921e-16,
            4.300207580131066e-17,
            -0.9776843646360955,
            -2.0569553237954152e-16,
            2.1619471628317867e-17,
            -0.9776843646360955,
            -2.0682856087685438e-16,
            1.1717952567923717e-31,
            -0.9776843646360955,
            -2.0569553237954152e-16,
            -2.1619471628317818e-17,
            -0.9776843646360955,
            -2.02308860584921e-16,
            -4.30020758013106e-17,
            -0.9776843646360955,
            -1.9670565057788123e-16,
            -6.391354023306135e-17,
            -0.9776843646360955,
            -1.8894729229980647e-16,
            -8.412475454325053e-17,
            -0.9776843646360955,
            -1.791187879475322e-16,
            -1.0341428043842713e-16,
            -0.9776843646360955,
            -1.673278206714886e-16,
            -1.2157077783629096e-16,
            -0.9776843646360955,
            -1.5370357477657057e-16,
            -1.383953203518596e-16,
            -0.9776843646360955,
            -1.3839532035185964e-16,
            -1.5370357477657052e-16,
            -0.9776843646360955,
            -1.2157077783629101e-16,
            -1.6732782067148856e-16,
            -0.9776843646360955,
            -1.0341428043842728e-16,
            -1.7911878794753212e-16,
            -0.9776843646360955,
            -8.412475454325069e-17,
            -1.8894729229980642e-16,
            -0.9776843646360955,
            -6.391354023306141e-17,
            -1.967056505778812e-16,
            -0.9776843646360955,
            -4.3002075801310756e-17,
            -2.0230886058492095e-16,
            -0.9776843646360955,
            -2.161947162831806e-17,
            -2.0569553237954152e-16,
            -0.9776843646360955,
            -3.799379025751398e-32,
            -2.0682856087685438e-16,
            -0.9776843646360955,
            2.1619471628317805e-17,
            -2.0569553237954152e-16,
            -0.9776843646360955,
            4.300207580131068e-17,
            -2.0230886058492095e-16,
            -0.9776843646360955,
            6.391354023306134e-17,
            -1.9670565057788123e-16,
            -0.9776843646360955,
            8.412475454325044e-17,
            -1.8894729229980652e-16,
            -0.9776843646360955,
            1.034142804384272e-16,
            -1.7911878794753217e-16,
            -0.9776843646360955,
            1.2157077783629094e-16,
            -1.673278206714886e-16,
            -0.9776843646360955,
            1.3839532035185964e-16,
            -1.5370357477657052e-16,
            -0.9776843646360955,
            1.5370357477657057e-16,
            -1.3839532035185957e-16,
            -0.9776843646360955,
            1.6732782067148856e-16,
            -1.2157077783629104e-16,
            -0.9776843646360955,
            1.791187879475322e-16,
            -1.0341428043842712e-16,
            -0.9776843646360955,
            1.8894729229980647e-16,
            -8.412475454325053e-17,
            -0.9776843646360955,
            1.967056505778812e-16,
            -6.391354023306143e-17,
            -0.9776843646360955,
            2.02308860584921e-16,
            -4.3002075801310583e-17,
            -0.9776843646360955,
            2.0569553237954152e-16,
            -2.161947162831789e-17,
            -0.9776843646360955,
            2.0682856087685438e-16,
            -2.3435905135847435e-31
          ],
          "indices": [
            0,
            61,
            1,
            1,
            61,
            62,
            1,
            62,
            2,
            2,
            62,
            63,
            2,
            63,
            3,
            3,
            63,
            64,
            3,
            64,
            4,
            4,
            64,
            65,
            4,
            65,
            5,
            5,
            65,
            66,
            5,
            66,
            6,
            6,
            66,
            67,
            6,
            67,
            7,
            7,
            67,
            68,
            7,
            68,
            8,
            8,
            68,
            69,
            8,
            69,
            9,
            9,
            69,
            70,
            9,
            70,
            10,
            10,
            70,
            71,
            10,
            71,
            11,
            11,
            71,
            72,
            11,
            72,
            12,
            12,
            72,
            73,
            12,
            73,
            13,
            13,
            73,
            74,
            13,
            74,
            14,
            14,
            74,
            75,
            14,
            75,
            15,
            15,
            75,
            76,
            15,
            76,
            16,
            16,
            76,
            77,
            16,
            77,
            17,
            17,
            77,
            78,
            17,
            78,
            18,
            18,
            78,
            79,
            18,
            79,
            19,
            19,
            79,
            80,
            19,
            80,
            20,
            20,
            80,
            81,
            20,
            81,
            21,
            21,
            81,
            82,
            21,
            82,
            22,
            22,
            82,
            83,
            22,
            83,
            23,
            23,
            83,
            84,
            23,
            84,
            24,
            24,
            84,
            85,
            24,
            85,
            25,
            25,
            85,
            86,
            25,
            86,
            26,
            26,
            86,
            87,
            26,
            87,
            27,
            27,
            87,
            88,
            27,
            88,
            28,
            28,
            88,
            89,
            28,
            89,
            29,
            29,
            89,
            90,
            29,
            90,
            30,
            30,
            90,
            91,
            30,
            91,
            31,
            31,
            91,
            92,
            31,
            92,
            32,
            32,
            92,
            93,
            32,
            93,
            33,
            33,
            93,
            94,
            33,
            94,
            34,
            34,
            94,
            95,
            34,
            95,
            35,
            35,
            95,
            96,
            35,
            96,
            36,
            36,
            96,
            97,
            36,
            97,
            37,
            37,
            97,
            98,
            37,
            98,
            38,
            38,
            98,
            99,
            38,
            99,
            39,
            39,
            99,
            100,
            39,
            100,
            40,
            40,
            100,
            101,
            40,
            101,
            41,
            41,
            101,
            102,
            41,
            102,
            42,
            42,
            102,
            103,
            42,
            103,
            43,
            43,
            103,
            104,
            43,
            104,
            44,
            44,
            104,
            105,
            44,
            105,
            45,
            45,
            105,
            106,
            45,
            106,
            46,
            46,
            106,
            107,
            46,
            107,
            47,
            47,
            107,
            108,
            47,
            108,
            48,
            48,
            108,
            109,
            48,
            109,
            49,
            49,
            109,
            110,
            49,
            110,
            50,
            50,
            110,
            111,
            50,
            111,
            51,
            51,
            111,
            112,
            51,
            112,
            52,
            52,
            112,
            113,
            52,
            113,
            53,
            53,
            113,
            114,
            53,
            114,
            54,
            54,
            114,
            115,
            54,
            115,
            55,
            55,
            115,
            116,
            55,
            116,
            56,
            56,
            116,
            117,
            56,
            117,
            57,
            57,
            117,
            118,
            57,
            118,
            58,
            58,
            118,
            119,
            58,
            119,
            59,
            59,
            119,
            120,
            59,
            120,
            60,
            60,
            120,
            121,
            61,
            122,
            62,
            62,
            122,
            123,
            62,
            123,
            63,
            63,
            123,
            124,
            63,
            124,
            64,
            64,
            124,
            125,
            64,
            125,
            65,
            65,
            125,
            126,
            65,
            126,
            66,
            66,
            126,
            127,
            66,
            127,
            67,
            67,
            127,
            128,
            67,
            128,
            68,
            68,
            128,
            129,
            68,
            129,
            69,
            69,
            129,
            130,
            69,
            130,
            70,
            70,
            130,
            131,
            70,
            131,
            71,
            71,
            131,
            132,
            71,
            132,
            72,
            72,
            132,
            133,
            72,
            133,
            73,
            73,
            133,
            134,
            73,
            134,
            74,
            74,
            134,
            135,
            74,
            135,
            75,
            75,
            135,
            136,
            75,
            136,
            76,
            76,
            136,
            137,
            76,
            137,
            77,
            77,
            137,
            138,
            77,
            138,
            78,
            78,
            138,
            139,
            78,
            139,
            79,
            79,
            139,
            140,
            79,
            140,
            80,
            80,
            140,
            141,
            80,
            141,
            81,
            81,
            141,
            142,
            81,
            142,
            82,
            82,
            142,
            143,
            82,
            143,
            83,
            83,
            143,
            144,
            83,
            144,
            84,
            84,
            144,
            145,
            84,
            145,
            85,
            85,
            145,
            146,
            85,
            146,
            86,
            86,
            146,
            147,
            86,
            147,
            87,
            87,
            147,
            148,
            87,
            148,
            88,
            88,
            148,
            149,
            88,
            149,
            89,
            89,
            149,
            150,
            89,
            150,
            90,
            90,
            150,
            151,
            90,
            151,
            91,
            91,
            151,
            152,
            91,
            152,
            92,
            92,
            152,
            153,
            92,
            153,
            93,
            93,
            153,
            154,
            93,
            154,
            94,
            94,
            154,
            155,
            94,
            155,
            95,
            95,
            155,
            156,
            95,
            156,
            96,
            96,
            156,
            157,
            96,
            157,
            97,
            97,
            157,
            158,
            97,
            158,
            98,
            98,
            158,
            159,
            98,
            159,
            99,
            99,
            159,
            160,
            99,
            160,
            100,
            100,
            160,
            161,
            100,
            161,
            101,
            101,
            161,
            162,
            101,
            162,
            102,
            102,
            162,
            163,
            102,
            163,
            103,
            103,
            163,
            164,
            103,
            164,
            104,
            104,
            164,
            165,
            104,
            165,
            105,
            105,
            165,
            166,
            105,
            166,
            106,
            106,
            166,
            167,
            106,
            167,
            107,
            107,
            167,
            168,
            107,
            168,
            108,
            108,
            168,
            169,
            108,
            169,
            109,
            109,
            169,
            170,
            109,
            170,
            110,
            110,
            170,
            171,
            110,
            171,
            111,
            111,
            171,
            172,
            111,
            172,
            112,
            112,
            172,
            173,
            112,
            173,
            113,
            113,
            173,
            174,
            113,
            174,
            114,
            114,
            174,
            175,
            114,
            175,
            115,
            115,
            175,
            176,
            115,
            176,
            116,
            116,
            176,
            177,
            116,
            177,
            117,
            117,
            177,
            178,
            117,
            178,
            118,
            118,
            178,
            179,
            118,
            179,
            119,
            119,
            179,
            180,
            119,
            180,
            120,
            120,
            180,
            181,
            120,
            181,
            121,
            121,
            181,
            182,
            122,
            183,
            123,
            123,
            183,
            184,
            123,
            184,
            124,
            124,
            184,
            185,
            124,
            185,
            125,
            125,
            185,
            186,
            125,
            186,
            126,
            126,
            186,
            187,
            126,
            187,
            127,
            127,
            187,
            188,
            127,
            188,
            128,
            128,
            188,
            189,
            128,
            189,
            129,
            129,
            189,
            190,
            129,
            190,
            130,
            130,
            190,
            191,
            130,
            191,
            131,
            131,
            191,
            192,
            131,
            192,
            132,
            132,
            192,
            193,
            132,
            193,
            133,
            133,
            193,
            194,
            133,
            194,
            134,
            134,
            194,
            195,
            134,
            195,
            135,
            135,
            195,
            196,
            135,
            196,
            136,
            136,
            196,
            197,
            136,
            197,
            137,
            137,
            197,
            198,
            137,
            198,
            138,
            138,
            198,
            199,
            138,
            199,
            139,
            139,
            199,
            200,
            139,
            200,
            140,
            140,
            200,
            201,
            140,
            201,
            141,
            141,
            201,
            202,
            141,
            202,
            142,
            142,
            202,
            203,
            142,
            203,
            143,
            143,
            203,
            204,
            143,
            204,
            144,
            144,
            204,
            205,
            144,
            205,
            145,
            145,
            205,
            206,
            145,
            206,
            146,
            146,
            206,
            207,
            146,
            207,
            147,
            147,
            207,
            208,
            147,
            208,
            148,
            148,
            208,
            209,
            148,
            209,
            149,
            149,
            209,
            210,
            149,
            210,
            150,
            150,
            210,
            211,
            150,
            211,
            151,
            151,
            211,
            212,
            151,
            212,
            152,
            152,
            212,
            213,
            152,
            213,
            153,
            153,
            213,
            214,
            153,
            214,
            154,
            154,
            214,
            215,
            154,
            215,
            155,
            155,
            215,
            216,
            155,
            216,
            156,
            156,
            216,
            217,
            156,
            217,
            157,
            157,
            217,
            218,
            157,
            218,
            158,
            158,
            218,
            219,
            158,
            219,
            159,
            159,
            219,
            220,
            159,
            220,
            160,
            160,
            220,
            221,
            160,
            221,
            161,
            161,
            221,
            222,
            161,
            222,
            162,
            162,
            222,
            223,
            162,
            223,
            163,
            163,
            223,
            224,
            163,
            224,
            164,
            164,
            224,
            225,
            164,
            225,
            165,
            165,
            225,
            226,
            165,
            226,
            166,
            166,
            226,
            227,
            166,
            227,
            167,
            167,
            227,
            228,
            167,
            228,
            168,
            168,
            228,
            229,
            168,
            229,
            169,
            169,
            229,
            230,
            169,
            230,
            170,
            170,
            230,
            231,
            170,
            231,
            171,
            171,
            231,
            232,
            171,
            232,
            172,
            172,
            232,
            233,
            172,
            233,
            173,
            173,
            233,
            234,
            173,
            234,
            174,
            174,
            234,
            235,
            174,
            235,
            175,
            175,
            235,
            236,
            175,
            236,
            176,
            176,
            236,
            237,
            176,
            237,
            177,
            177,
            237,
            238,
            177,
            238,
            178,
            178,
            238,
            239,
            178,
            239,
            179,
            179,
            239,
            240,
            179,
            240,
            180,
            180,
            240,
            241,
            180,
            241,
            181,
            181,
            241,
            242,
            181,
            242,
            182,
            182,
            242,
            243,
            183,
            244,
            184,
            184,
            244,
            245,
            184,
            245,
            185,
            185,
            245,
            246,
            185,
            246,
            186,
            186,
            246,
            247,
            186,
            247,
            187,
            187,
            247,
            248,
            187,
            248,
            188,
            188,
            248,
            249,
            188,
            249,
            189,
            189,
            249,
            250,
            189,
            250,
            190,
            190,
            250,
            251,
            190,
            251,
            191,
            191,
            251,
            252,
            191,
            252,
            192,
            192,
            252,
            253,
            192,
            253,
            193,
            193,
            253,
            254,
            193,
            254,
            194,
            194,
            254,
            255,
            194,
            255,
            195,
            195,
            255,
            256,
            195,
            256,
            196,
            196,
            256,
            257,
            196,
            257,
            197,
            197,
            257,
            258,
            197,
            258,
            198,
            198,
            258,
            259,
            198,
            259,
            199,
            199,
            259,
            260,
            199,
            260,
            200,
            200,
            260,
            261,
            200,
            261,
            201,
            201,
            261,
            262,
            201,
            262,
            202,
            202,
            262,
            263,
            202,
            263,
            203,
            203,
            263,
            264,
            203,
            264,
            204,
            204,
            264,
            265,
            204,
            265,
            205,
            205,
            265,
            266,
            205,
            266,
            206,
            206,
            266,
            267,
            206,
            267,
            207,
            207,
            267,
            268,
            207,
            268,
            208,
            208,
            268,
            269,
            208,
            269,
            209,
            209,
            269,
            270,
            209,
            270,
            210,
            210,
            270,
            271,
            210,
            271,
            211,
            211,
            271,
            272,
            211,
            272,
            212,
            212,
            272,
            273,
            212,
            273,
            213,
            213,
            273,
            274,
            213,
            274,
            214,
            214,
            274,
            275,
            214,
            275,
            215,
            215,
            275,
            276,
            215,
            276,
            216,
            216,
            276,
            277,
            216,
            277,
            217,
            217,
            277,
            278,
            217,
            278,
            218,
            218,
            278,
            279,
            218,
            279,
            219,
            219,
            279,
            280,
            219,
            280,
            220,
            220,
            280,
            281,
            220,
            281,
            221,
            221,
            281,
            282,
            221,
            282,
            222,
            222,
            282,
            283,
            222,
            283,
            223,
            223,
            283,
            284,
            223,
            284,
            224,
            224,
            284,
            285,
            224,
            285,
            225,
            225,
            285,
            286,
            225,
            286,
            226,
            226,
            286,
            287,
            226,
            287,
            227,
            227,
            287,
            288,
            227,
            288,
            228,
            228,
            288,
            289,
            228,
            289,
            229,
            229,
            289,
            290,
            229,
            290,
            230,
            230,
            290,
            291,
            230,
            291,
            231,
            231,
            291,
            292,
            231,
            292,
            232,
            232,
            292,
            293,
            232,
            293,
            233,
            233,
            293,
            294,
            233,
            294,
            234,
            234,
            294,
            295,
            234,
            295,
            235,
            235,
            295,
            296,
            235,
            296,
            236,
            236,
            296,
            297,
            236,
            297,
            237,
            237,
            297,
            298,
            237,
            298,
            238,
            238,
            298,
            299,
            238,
            299,
            239,
            239,
            299,
            300,
            239,
            300,
            240,
            240,
            300,
            301,
            240,
            301,
            241,
            241,
            301,
            302,
            241,
            302,
            242,
            242,
            302,
            303,
            242,
            303,
            243,
            243,
            303,
            304,
            244,
            305,
            245,
            245,
            305,
            306,
            245,
            306,
            246,
            246,
            306,
            307,
            246,
            307,
            247,
            247,
            307,
            308,
            247,
            308,
            248,
            248,
            308,
            309,
            248,
            309,
            249,
            249,
            309,
            310,
            249,
            310,
            250,
            250,
            310,
            311,
            250,
            311,
            251,
            251,
            311,
            312,
            251,
            312,
            252,
            252,
            312,
            313,
            252,
            313,
            253,
            253,
            313,
            314,
            253,
            314,
            254,
            254,
            314,
            315,
            254,
            315,
            255,
            255,
            315,
            316,
            255,
            316,
            256,
            256,
            316,
            317,
            256,
            317,
            257,
            257,
            317,
            318,
            257,
            318,
            258,
            258,
            318,
            319,
            258,
            319,
            259,
            259,
            319,
            320,
            259,
            320,
            260,
            260,
            320,
            321,
            260,
            321,
            261,
            261,
            321,
            322,
            261,
            322,
            262,
            262,
            322,
            323,
            262,
            323,
            263,
            263,
            323,
            324,
            263,
            324,
            264,
            264,
            324,
            325,
            264,
            325,
            265,
            265,
            325,
            326,
            265,
            326,
            266,
            266,
            326,
            327,
            266,
            327,
            267,
            267,
            327,
            328,
            267,
            328,
            268,
            268,
            328,
            329,
            268,
            329,
            269,
            269,
            329,
            330,
            269,
            330,
            270,
            270,
            330,
            331,
            270,
            331,
            271,
            271,
            331,
            332,
            271,
            332,
            272,
            272,
            332,
            333,
            272,
            333,
            273,
            273,
            333,
            334,
            273,
            334,
            274,
            274,
            334,
            335,
            274,
            335,
            275,
            275,
            335,
            336,
            275,
            336,
            276,
            276,
            336,
            337,
            276,
            337,
            277,
            277,
            337,
            338,
            277,
            338,
            278,
            278,
            338,
            339,
            278,
            339,
            279,
            279,
            339,
            340,
            279,
            340,
            280,
            280,
            340,
            341,
            280,
            341,
            281,
            281,
            341,
            342,
            281,
            342,
            282,
            282,
            342,
            343,
            282,
            343,
            283,
            283,
            343,
            344,
            283,
            344,
            284,
            284,
            344,
            345,
            284,
            345,
            285,
            285,
            345,
            346,
            285,
            346,
            286,
            286,
            346,
            347,
            286,
            347,
            287,
            287,
            347,
            348,
            287,
            348,
            288,
            288,
            348,
            349,
            288,
            349,
            289,
            289,
            349,
            350,
            289,
            350,
            290,
            290,
            350,
            351,
            290,
            351,
            291,
            291,
            351,
            352,
            291,
            352,
            292,
            292,
            352,
            353,
            292,
            353,
            293,
            293,
            353,
            354,
            293,
            354,
            294,
            294,
            354,
            355,
            294,
            355,
            295,
            295,
            355,
            356,
            295,
            356,
            296,
            296,
            356,
            357,
            296,
            357,
            297,
            297,
            357,
            358,
            297,
            358,
            298,
            298,
            358,
            359,
            298,
            359,
            299,
            299,
            359,
            360,
            299,
            360,
            300,
            300,
            360,
            361,
            300,
            361,
            301,
            301,
            361,
            362,
            301,
            362,
            302,
            302,
            362,
            363,
            302,
            363,
            303,
            303,
            363,
            364,
            303,
            364,
            304,
            304,
            364,
            365,
            305,
            366,
            306,
            306,
            366,
            367,
            306,
            367,
            307,
            307,
            367,
            368,
            307,
            368,
            308,
            308,
            368,
            369,
            308,
            369,
            309,
            309,
            369,
            370,
            309,
            370,
            310,
            310,
            370,
            371,
            310,
            371,
            311,
            311,
            371,
            372,
            311,
            372,
            312,
            312,
            372,
            373,
            312,
            373,
            313,
            313,
            373,
            374,
            313,
            374,
            314,
            314,
            374,
            375,
            314,
            375,
            315,
            315,
            375,
            376,
            315,
            376,
            316,
            316,
            376,
            377,
            316,
            377,
            317,
            317,
            377,
            378,
            317,
            378,
            318,
            318,
            378,
            379,
            318,
            379,
            319,
            319,
            379,
            380,
            319,
            380,
            320,
            320,
            380,
            381,
            320,
            381,
            321,
            321,
            381,
            382,
            321,
            382,
            322,
            322,
            382,
            383,
            322,
            383,
            323,
            323,
            383,
            384,
            323,
            384,
            324,
            324,
            384,
            385,
            324,
            385,
            325,
            325,
            385,
            386,
            325,
            386,
            326,
            326,
            386,
            387,
            326,
            387,
            327,
            327,
            387,
            388,
            327,
            388,
            328,
            328,
            388,
            389,
            328,
            389,
            329,
            329,
            389,
            390,
            329,
            390,
            330,
            330,
            390,
            391,
            330,
            391,
            331,
            331,
            391,
            392,
            331,
            392,
            332,
            332,
            392,
            393,
            332,
            393,
            333,
            333,
            393,
            394,
            333,
            394,
            334,
            334,
            394,
            395,
            334,
            395,
            335,
            335,
            395,
            396,
            335,
            396,
            336,
            336,
            396,
            397,
            336,
            397,
            337,
            337,
            397,
            398,
            337,
            398,
            338,
            338,
            398,
            399,
            338,
            399,
            339,
            339,
            399,
            400,
            339,
            400,
            340,
            340,
            400,
            401,
            340,
            401,
            341,
            341,
            401,
            402,
            341,
            402,
            342,
            342,
            402,
            403,
            342,
            403,
            343,
            343,
            403,
            404,
            343,
            404,
            344,
            344,
            404,
            405,
            344,
            405,
            345,
            345,
            405,
            406,
            345,
            406,
            346,
            346,
            406,
            407,
            346,
            407,
            347,
            347,
            407,
            408,
            347,
            408,
            348,
            348,
            408,
            409,
            348,
            409,
            349,
            349,
            409,
            410,
            349,
            410,
            350,
            350,
            410,
            411,
            350,
            411,
            351,
            351,
            411,
            412,
            351,
            412,
            352,
            352,
            412,
            413,
            352,
            413,
            353,
            353,
            413,
            414,
            353,
            414,
            354,
            354,
            414,
            415,
            354,
            415,
            355,
            355,
            415,
            416,
            355,
            416,
            356,
            356,
            416,
            417,
            356,
            417,
            357,
            357,
            417,
            418,
            357,
            418,
            358,
            358,
            418,
            419,
            358,
            419,
            359,
            359,
            419,
            420,
            359,
            420,
            360,
            360,
            420,
            421,
            360,
            421,
            361,
            361,
            421,
            422,
            361,
            422,
            362,
            362,
            422,
            423,
            362,
            423,
            363,
            363,
            423,
            424,
            363,
            424,
            364,
            364,
            424,
            425,
            364,
            425,
            365,
            365,
            425,
            426,
            366,
            427,
            367,
            367,
            427,
            428,
            367,
            428,
            368,
            368,
            428,
            429,
            368,
            429,
            369,
            369,
            429,
            430,
            369,
            430,
            370,
            370,
            430,
            431,
            370,
            431,
            371,
            371,
            431,
            432,
            371,
            432,
            372,
            372,
            432,
            433,
            372,
            433,
            373,
            373,
            433,
            434,
            373,
            434,
            374,
            374,
            434,
            435,
            374,
            435,
            375,
            375,
            435,
            436,
            375,
            436,
            376,
            376,
            436,
            437,
            376,
            437,
            377,
            377,
            437,
            438,
            377,
            438,
            378,
            378,
            438,
            439,
            378,
            439,
            379,
            379,
            439,
            440,
            379,
            440,
            380,
            380,
            440,
            441,
            380,
            441,
            381,
            381,
            441,
            442,
            381,
            442,
            382,
            382,
            442,
            443,
            382,
            443,
            383,
            383,
            443,
            444,
            383,
            444,
            384,
            384,
            444,
            445,
            384,
            445,
            385,
            385,
            445,
            446,
            385,
            446,
            386,
            386,
            446,
            447,
            386,
            447,
            387,
            387,
            447,
            448,
            387,
            448,
            388,
            388,
            448,
            449,
            388,
            449,
            389,
            389,
            449,
            450,
            389,
            450,
            390,
            390,
            450,
            451,
            390,
            451,
            391,
            391,
            451,
            452,
            391,
            452,
            392,
            392,
            452,
            453,
            392,
            453,
            393,
            393,
            453,
            454,
            393,
            454,
            394,
            394,
            454,
            455,
            394,
            455,
            395,
            395,
            455,
            456,
            395,
            456,
            396,
            396,
            456,
            457,
            396,
            457,
            397,
            397,
            457,
            458,
            397,
            458,
            398,
            398,
            458,
            459,
            398,
            459,
            399,
            399,
            459,
            460,
            399,
            460,
            400,
            400,
            460,
            461,
            400,
            461,
            401,
            401,
            461,
            462,
            401,
            462,
            402,
            402,
            462,
            463,
            402,
            463,
            403,
            403,
            463,
            464,
            403,
            464,
            404,
            404,
            464,
            465,
            404,
            465,
            405,
            405,
            465,
            466,
            405,
            466,
            406,
            406,
            466,
            467,
            406,
            467,
            407,
            407,
            467,
            468,
            407,
            468,
            408,
            408,
            468,
            469,
            408,
            469,
            409,
            409,
            469,
            470,
            409,
            470,
            410,
            410,
            470,
            471,
            410,
            471,
            411,
            411,
            471,
            472,
            411,
            472,
            412,
            412,
            472,
            473,
            412,
            473,
            413,
            413,
            473,
            474,
            413,
            474,
            414,
            414,
            474,
            475,
            414,
            475,
            415,
            415,
            475,
            476,
            415,
            476,
            416,
            416,
            476,
            477,
            416,
            477,
            417,
            417,
            477,
            478,
            417,
            478,
            418,
            418,
            478,
            479,
            418,
            479,
            419,
            419,
            479,
            480,
            419,
            480,
            420,
            420,
            480,
            481,
            420,
            481,
            421,
            421,
            481,
            482,
            421,
            482,
            422,
            422,
            482,
            483,
            422,
            483,
            423,
            423,
            483,
            484,
            423,
            484,
            424,
            424,
            484,
            485,
            424,
            485,
            425,
            425,
            485,
            486,
            425,
            486,
            426,
            426,
            486,
            487,
            427,
            488,
            428,
            428,
            488,
            489,
            428,
            489,
            429,
            429,
            489,
            490,
            429,
            490,
            430,
            430,
            490,
            491,
            430,
            491,
            431,
            431,
            491,
            492,
            431,
            492,
            432,
            432,
            492,
            493,
            432,
            493,
            433,
            433,
            493,
            494,
            433,
            494,
            434,
            434,
            494,
            495,
            434,
            495,
            435,
            435,
            495,
            496,
            435,
            496,
            436,
            436,
            496,
            497,
            436,
            497,
            437,
            437,
            497,
            498,
            437,
            498,
            438,
            438,
            498,
            499,
            438,
            499,
            439,
            439,
            499,
            500,
            439,
            500,
            440,
            440,
            500,
            501,
            440,
            501,
            441,
            441,
            501,
            502,
            441,
            502,
            442,
            442,
            502,
            503,
            442,
            503,
            443,
            443,
            503,
            504,
            443,
            504,
            444,
            444,
            504,
            505,
            444,
            505,
            445,
            445,
            505,
            506,
            445,
            506,
            446,
            446,
            506,
            507,
            446,
            507,
            447,
            447,
            507,
            508,
            447,
            508,
            448,
            448,
            508,
            509,
            448,
            509,
            449,
            449,
            509,
            510,
            449,
            510,
            450,
            450,
            510,
            511,
            450,
            511,
            451,
            451,
            511,
            512,
            451,
            512,
            452,
            452,
            512,
            513,
            452,
            513,
            453,
            453,
            513,
            514,
            453,
            514,
            454,
            454,
            514,
            515,
            454,
            515,
            455,
            455,
            515,
            516,
            455,
            516,
            456,
            456,
            516,
            517,
            456,
            517,
            457,
            457,
            517,
            518,
            457,
            518,
            458,
            458,
            518,
            519,
            458,
            519,
            459,
            459,
            519,
            520,
            459,
            520,
            460,
            460,
            520,
            521,
            460,
            521,
            461,
            461,
            521,
            522,
            461,
            522,
            462,
            462,
            522,
            523,
            462,
            523,
            463,
            463,
            523,
            524,
            463,
            524,
            464,
            464,
            524,
            525,
            464,
            525,
            465,
            465,
            525,
            526,
            465,
            526,
            466,
            466,
            526,
            527,
            466,
            527,
            467,
            467,
            527,
            528,
            467,
            528,
            468,
            468,
            528,
            529,
            468,
            529,
            469,
            469,
            529,
            530,
            469,
            530,
            470,
            470,
            530,
            531,
            470,
            531,
            471,
            471,
            531,
            532,
            471,
            532,
            472,
            472,
            532,
            533,
            472,
            533,
            473,
            473,
            533,
            534,
            473,
            534,
            474,
            474,
            534,
            535,
            474,
            535,
            475,
            475,
            535,
            536,
            475,
            536,
            476,
            476,
            536,
            537,
            476,
            537,
            477,
            477,
            537,
            538,
            477,
            538,
            478,
            478,
            538,
            539,
            478,
            539,
            479,
            479,
            539,
            540,
            479,
            540,
            480,
            480,
            540,
            541,
            480,
            541,
            481,
            481,
            541,
            542,
            481,
            542,
            482,
            482,
            542,
            543,
            482,
            543,
            483,
            483,
            543,
            544,
            483,
            544,
            484,
            484,
            544,
            545,
            484,
            545,
            485,
            485,
            545,
            546,
            485,
            546,
            486,
            486,
            546,
            547,
            486,
            547,
            487,
            487,
            547,
            548,
            488,
            549,
            489,
            489,
            549,
            550,
            489,
            550,
            490,
            490,
            550,
            551,
            490,
            551,
            491,
            491,
            551,
            552,
            491,
            552,
            492,
            492,
            552,
            553,
            492,
            553,
            493,
            493,
            553,
            554,
            493,
            554,
            494,
            494,
            554,
            555,
            494,
            555,
            495,
            495,
            555,
            556,
            495,
            556,
            496,
            496,
            556,
            557,
            496,
            557,
            497,
            497,
            557,
            558,
            497,
            558,
            498,
            498,
            558,
            559,
            498,
            559,
            499,
            499,
            559,
            560,
            499,
            560,
            500,
            500,
            560,
            561,
            500,
            561,
            501,
            501,
            561,
            562,
            501,
            562,
            502,
            502,
            562,
            563,
            502,
            563,
            503,
            503,
            563,
            564,
            503,
            564,
            504,
            504,
            564,
            565,
            504,
            565,
            505,
            505,
            565,
            566,
            505,
            566,
            506,
            506,
            566,
            567,
            506,
            567,
            507,
            507,
            567,
            568,
            507,
            568,
            508,
            508,
            568,
            569,
            508,
            569,
            509,
            509,
            569,
            570,
            509,
            570,
            510,
            510,
            570,
            571,
            510,
            571,
            511,
            511,
            571,
            572,
            511,
            572,
            512,
            512,
            572,
            573,
            512,
            573,
            513,
            513,
            573,
            574,
            513,
            574,
            514,
            514,
            574,
            575,
            514,
            575,
            515,
            515,
            575,
            576,
            515,
            576,
            516,
            516,
            576,
            577,
            516,
            577,
            517,
            517,
            577,
            578,
            517,
            578,
            518,
            518,
            578,
            579,
            518,
            579,
            519,
            519,
            579,
            580,
            519,
            580,
            520,
            520,
            580,
            581,
            520,
            581,
            521,
            521,
            581,
            582,
            521,
            582,
            522,
            522,
            582,
            583,
            522,
            583,
            523,
            523,
            583,
            584,
            523,
            584,
            524,
            524,
            584,
            585,
            524,
            585,
            525,
            525,
            585,
            586,
            525,
            586,
            526,
            526,
            586,
            587,
            526,
            587,
            527,
            527,
            587,
            588,
            527,
            588,
            528,
            528,
            588,
            589,
            528,
            589,
            529,
            529,
            589,
            590,
            529,
            590,
            530,
            530,
            590,
            591,
            530,
            591,
            531,
            531,
            591,
            592,
            531,
            592,
            532,
            532,
            592,
            593,
            532,
            593,
            533,
            533,
            593,
            594,
            533,
            594,
            534,
            534,
            594,
            595,
            534,
            595,
            535,
            535,
            595,
            596,
            535,
            596,
            536,
            536,
            596,
            597,
            536,
            597,
            537,
            537,
            597,
            598,
            537,
            598,
            538,
            538,
            598,
            599,
            538,
            599,
            539,
            539,
            599,
            600,
            539,
            600,
            540,
            540,
            600,
            601,
            540,
            601,
            541,
            541,
            601,
            602,
            541,
            602,
            542,
            542,
            602,
            603,
            542,
            603,
            543,
            543,
            603,
            604,
            543,
            604,
            544,
            544,
            604,
            605,
            544,
            605,
            545,
            545,
            605,
            606,
            545,
            606,
            546,
            546,
            606,
            607,
            546,
            607,
            547,
            547,
            607,
            608,
            547,
            608,
            548,
            548,
            608,
            609,
            549,
            610,
            550,
            550,
            610,
            611,
            550,
            611,
            551,
            551,
            611,
            612,
            551,
            612,
            552,
            552,
            612,
            613,
            552,
            613,
            553,
            553,
            613,
            614,
            553,
            614,
            554,
            554,
            614,
            615,
            554,
            615,
            555,
            555,
            615,
            616,
            555,
            616,
            556,
            556,
            616,
            617,
            556,
            617,
            557,
            557,
            617,
            618,
            557,
            618,
            558,
            558,
            618,
            619,
            558,
            619,
            559,
            559,
            619,
            620,
            559,
            620,
            560,
            560,
            620,
            621,
            560,
            621,
            561,
            561,
            621,
            622,
            561,
            622,
            562,
            562,
            622,
            623,
            562,
            623,
            563,
            563,
            623,
            624,
            563,
            624,
            564,
            564,
            624,
            625,
            564,
            625,
            565,
            565,
            625,
            626,
            565,
            626,
            566,
            566,
            626,
            627,
            566,
            627,
            567,
            567,
            627,
            628,
            567,
            628,
            568,
            568,
            628,
            629,
            568,
            629,
            569,
            569,
            629,
            630,
            569,
            630,
            570,
            570,
            630,
            631,
            570,
            631,
            571,
            571,
            631,
            632,
            571,
            632,
            572,
            572,
            632,
            633,
            572,
            633,
            573,
            573,
            633,
            634,
            573,
            634,
            574,
            574,
            634,
            635,
            574,
            635,
            575,
            575,
            635,
            636,
            575,
            636,
            576,
            576,
            636,
            637,
            576,
            637,
            577,
            577,
            637,
            638,
            577,
            638,
            578,
            578,
            638,
            639,
            578,
            639,
            579,
            579,
            639,
            640,
            579,
            640,
            580,
            580,
            640,
            641,
            580,
            641,
            581,
            581,
            641,
            642,
            581,
            642,
            582,
            582,
            642,
            643,
            582,
            643,
            583,
            583,
            643,
            644,
            583,
            644,
            584,
            584,
            644,
            645,
            584,
            645,
            585,
            585,
            645,
            646,
            585,
            646,
            586,
            586,
            646,
            647,
            586,
            647,
            587,
            587,
            647,
            648,
            587,
            648,
            588,
            588,
            648,
            649,
            588,
            649,
            589,
            589,
            649,
            650,
            589,
            650,
            590,
            590,
            650,
            651,
            590,
            651,
            591,
            591,
            651,
            652,
            591,
            652,
            592,
            592,
            652,
            653,
            592,
            653,
            593,
            593,
            653,
            654,
            593,
            654,
            594,
            594,
            654,
            655,
            594,
            655,
            595,
            595,
            655,
            656,
            595,
            656,
            596,
            596,
            656,
            657,
            596,
            657,
            597,
            597,
            657,
            658,
            597,
            658,
            598,
            598,
            658,
            659,
            598,
            659,
            599,
            599,
            659,
            660,
            599,
            660,
            600,
            600,
            660,
            661,
            600,
            661,
            601,
            601,
            661,
            662,
            601,
            662,
            602,
            602,
            662,
            663,
            602,
            663,
            603,
            603,
            663,
            664,
            603,
            664,
            604,
            604,
            664,
            665,
            604,
            665,
            605,
            605,
            665,
            666,
            605,
            666,
            606,
            606,
            666,
            667,
            606,
            667,
            607,
            607,
            667,
            668,
            607,
            668,
            608,
            608,
            668,
            669,
            608,
            669,
            609,
            609,
            669,
            670,
            610,
            671,
            611,
            611,
            671,
            672,
            611,
            672,
            612,
            612,
            672,
            673,
            612,
            673,
            613,
            613,
            673,
            674,
            613,
            674,
            614,
            614,
            674,
            675,
            614,
            675,
            615,
            615,
            675,
            676,
            615,
            676,
            616,
            616,
            676,
            677,
            616,
            677,
            617,
            617,
            677,
            678,
            617,
            678,
            618,
            618,
            678,
            679,
            618,
            679,
            619,
            619,
            679,
            680,
            619,
            680,
            620,
            620,
            680,
            681,
            620,
            681,
            621,
            621,
            681,
            682,
            621,
            682,
            622,
            622,
            682,
            683,
            622,
            683,
            623,
            623,
            683,
            684,
            623,
            684,
            624,
            624,
            684,
            685,
            624,
            685,
            625,
            625,
            685,
            686,
            625,
            686,
            626,
            626,
            686,
            687,
            626,
            687,
            627,
            627,
            687,
            688,
            627,
            688,
            628,
            628,
            688,
            689,
            628,
            689,
            629,
            629,
            689,
            690,
            629,
            690,
            630,
            630,
            690,
            691,
            630,
            691,
            631,
            631,
            691,
            692,
            631,
            692,
            632,
            632,
            692,
            693,
            632,
            693,
            633,
            633,
            693,
            694,
            633,
            694,
            634,
            634,
            694,
            695,
            634,
            695,
            635,
            635,
            695,
            696,
            635,
            696,
            636,
            636,
            696,
            697,
            636,
            697,
            637,
            637,
            697,
            698,
            637,
            698,
            638,
            638,
            698,
            699,
            638,
            699,
            639,
            639,
            699,
            700,
            639,
            700,
            640,
            640,
            700,
            701,
            640,
            701,
            641,
            641,
            701,
            702,
            641,
            702,
            642,
            642,
            702,
            703,
            642,
            703,
            643,
            643,
            703,
            704,
            643,
            704,
            644,
            644,
            704,
            705,
            644,
            705,
            645,
            645,
            705,
            706,
            645,
            706,
            646,
            646,
            706,
            707,
            646,
            707,
            647,
            647,
            707,
            708,
            647,
            708,
            648,
            648,
            708,
            709,
            648,
            709,
            649,
            649,
            709,
            710,
            649,
            710,
            650,
            650,
            710,
            711,
            650,
            711,
            651,
            651,
            711,
            712,
            651,
            712,
            652,
            652,
            712,
            713,
            652,
            713,
            653,
            653,
            713,
            714,
            653,
            714,
            654,
            654,
            714,
            715,
            654,
            715,
            655,
            655,
            715,
            716,
            655,
            716,
            656,
            656,
            716,
            717,
            656,
            717,
            657,
            657,
            717,
            718,
            657,
            718,
            658,
            658,
            718,
            719,
            658,
            719,
            659,
            659,
            719,
            720,
            659,
            720,
            660,
            660,
            720,
            721,
            660,
            721,
            661,
            661,
            721,
            722,
            661,
            722,
            662,
            662,
            722,
            723,
            662,
            723,
            663,
            663,
            723,
            724,
            663,
            724,
            664,
            664,
            724,
            725,
            664,
            725,
            665,
            665,
            725,
            726,
            665,
            726,
            666,
            666,
            726,
            727,
            666,
            727,
            667,
            667,
            727,
            728,
            667,
            728,
            668,
            668,
            728,
            729,
            668,
            729,
            669,
            669,
            729,
            730,
            669,
            730,
            670,
            670,
            730,
            731,
            671,
            732,
            672,
            672,
            732,
            733,
            672,
            733,
            673,
            673,
            733,
            734,
            673,
            734,
            674,
            674,
            734,
            735,
            674,
            735,
            675,
            675,
            735,
            736,
            675,
            736,
            676,
            676,
            736,
            737,
            676,
            737,
            677,
            677,
            737,
            738,
            677,
            738,
            678,
            678,
            738,
            739,
            678,
            739,
            679,
            679,
            739,
            740,
            679,
            740,
            680,
            680,
            740,
            741,
            680,
            741,
            681,
            681,
            741,
            742,
            681,
            742,
            682,
            682,
            742,
            743,
            682,
            743,
            683,
            683,
            743,
            744,
            683,
            744,
            684,
            684,
            744,
            745,
            684,
            745,
            685,
            685,
            745,
            746,
            685,
            746,
            686,
            686,
            746,
            747,
            686,
            747,
            687,
            687,
            747,
            748,
            687,
            748,
            688,
            688,
            748,
            749,
            688,
            749,
            689,
            689,
            749,
            750,
            689,
            750,
            690,
            690,
            750,
            751,
            690,
            751,
            691,
            691,
            751,
            752,
            691,
            752,
            692,
            692,
            752,
            753,
            692,
            753,
            693,
            693,
            753,
            754,
            693,
            754,
            694,
            694,
            754,
            755,
            694,
            755,
            695,
            695,
            755,
            756,
            695,
            756,
            696,
            696,
            756,
            757,
            696,
            757,
            697,
            697,
            757,
            758,
            697,
            758,
            698,
            698,
            758,
            759,
            698,
            759,
            699,
            699,
            759,
            760,
            699,
            760,
            700,
            700,
            760,
            761,
            700,
            761,
            701,
            701,
            761,
            762,
            701,
            762,
            702,
            702,
            762,
            763,
            702,
            763,
            703,
            703,
            763,
            764,
            703,
            764,
            704,
            704,
            764,
            765,
            704,
            765,
            705,
            705,
            765,
            766,
            705,
            766,
            706,
            706,
            766,
            767,
            706,
            767,
            707,
            707,
            767,
            768,
            707,
            768,
            708,
            708,
            768,
            769,
            708,
            769,
            709,
            709,
            769,
            770,
            709,
            770,
            710,
            710,
            770,
            771,
            710,
            771,
            711,
            711,
            771,
            772,
            711,
            772,
            712,
            712,
            772,
            773,
            712,
            773,
            713,
            713,
            773,
            774,
            713,
            774,
            714,
            714,
            774,
            775,
            714,
            775,
            715,
            715,
            775,
            776,
            715,
            776,
            716,
            716,
            776,
            777,
            716,
            777,
            717,
            717,
            777,
            778,
            717,
            778,
            718,
            718,
            778,
            779,
            718,
            779,
            719,
            719,
            779,
            780,
            719,
            780,
            720,
            720,
            780,
            781,
            720,
            781,
            721,
            721,
            781,
            782,
            721,
            782,
            722,
            722,
            782,
            783,
            722,
            783,
            723,
            723,
            783,
            784,
            723,
            784,
            724,
            724,
            784,
            785,
            724,
            785,
            725,
            725,
            785,
            786,
            725,
            786,
            726,
            726,
            786,
            787,
            726,
            787,
            727,
            727,
            787,
            788,
            727,
            788,
            728,
            728,
            788,
            789,
            728,
            789,
            729,
            729,
            789,
            790,
            729,
            790,
            730,
            730,
            790,
            791,
            730,
            791,
            731,
            731,
            791,
            792,
            732,
            793,
            733,
            733,
            793,
            794,
            733,
            794,
            734,
            734,
            794,
            795,
            734,
            795,
            735,
            735,
            795,
            796,
            735,
            796,
            736,
            736,
            796,
            797,
            736,
            797,
            737,
            737,
            797,
            798,
            737,
            798,
            738,
            738,
            798,
            799,
            738,
            799,
            739,
            739,
            799,
            800,
            739,
            800,
            740,
            740,
            800,
            801,
            740,
            801,
            741,
            741,
            801,
            802,
            741,
            802,
            742,
            742,
            802,
            803,
            742,
            803,
            743,
            743,
            803,
            804,
            743,
            804,
            744,
            744,
            804,
            805,
            744,
            805,
            745,
            745,
            805,
            806,
            745,
            806,
            746,
            746,
            806,
            807,
            746,
            807,
            747,
            747,
            807,
            808,
            747,
            808,
            748,
            748,
            808,
            809,
            748,
            809,
            749,
            749,
            809,
            810,
            749,
            810,
            750,
            750,
            810,
            811,
            750,
            811,
            751,
            751,
            811,
            812,
            751,
            812,
            752,
            752,
            812,
            813,
            752,
            813,
            753,
            753,
            813,
            814,
            753,
            814,
            754,
            754,
            814,
            815,
            754,
            815,
            755,
            755,
            815,
            816,
            755,
            816,
            756,
            756,
            816,
            817,
            756,
            817,
            757,
            757,
            817,
            818,
            757,
            818,
            758,
            758,
            818,
            819,
            758,
            819,
            759,
            759,
            819,
            820,
            759,
            820,
            760,
            760,
            820,
            821,
            760,
            821,
            761,
            761,
            821,
            822,
            761,
            822,
            762,
            762,
            822,
            823,
            762,
            823,
            763,
            763,
            823,
            824,
            763,
            824,
            764,
            764,
            824,
            825,
            764,
            825,
            765,
            765,
            825,
            826,
            765,
            826,
            766,
            766,
            826,
            827,
            766,
            827,
            767,
            767,
            827,
            828,
            767,
            828,
            768,
            768,
            828,
            829,
            768,
            829,
            769,
            769,
            829,
            830,
            769,
            830,
            770,
            770,
            830,
            831,
            770,
            831,
            771,
            771,
            831,
            832,
            771,
            832,
            772,
            772,
            832,
            833,
            772,
            833,
            773,
            773,
            833,
            834,
            773,
            834,
            774,
            774,
            834,
            835,
            774,
            835,
            775,
            775,
            835,
            836,
            775,
            836,
            776,
            776,
            836,
            837,
            776,
            837,
            777,
            777,
            837,
            838,
            777,
            838,
            778,
            778,
            838,
            839,
            778,
            839,
            779,
            779,
            839,
            840,
            779,
            840,
            780,
            780,
            840,
            841,
            780,
            841,
            781,
            781,
            841,
            842,
            781,
            842,
            782,
            782,
            842,
            843,
            782,
            843,
            783,
            783,
            843,
            844,
            783,
            844,
            784,
            784,
            844,
            845,
            784,
            845,
            785,
            785,
            845,
            846,
            785,
            846,
            786,
            786,
            846,
            847,
            786,
            847,
            787,
            787,
            847,
            848,
            787,
            848,
            788,
            788,
            848,
            849,
            788,
            849,
            789,
            789,
            849,
            850,
            789,
            850,
            790,
            790,
            850,
            851,
            790,
            851,
            791,
            791,
            851,
            852,
            791,
            852,
            792,
            792,
            852,
            853,
            793,
            854,
            794,
            794,
            854,
            855,
            794,
            855,
            795,
            795,
            855,
            856,
            795,
            856,
            796,
            796,
            856,
            857,
            796,
            857,
            797,
            797,
            857,
            858,
            797,
            858,
            798,
            798,
            858,
            859,
            798,
            859,
            799,
            799,
            859,
            860,
            799,
            860,
            800,
            800,
            860,
            861,
            800,
            861,
            801,
            801,
            861,
            862,
            801,
            862,
            802,
            802,
            862,
            863,
            802,
            863,
            803,
            803,
            863,
            864,
            803,
            864,
            804,
            804,
            864,
            865,
            804,
            865,
            805,
            805,
            865,
            866,
            805,
            866,
            806,
            806,
            866,
            867,
            806,
            867,
            807,
            807,
            867,
            868,
            807,
            868,
            808,
            808,
            868,
            869,
            808,
            869,
            809,
            809,
            869,
            870,
            809,
            870,
            810,
            810,
            870,
            871,
            810,
            871,
            811,
            811,
            871,
            872,
            811,
            872,
            812,
            812,
            872,
            873,
            812,
            873,
            813,
            813,
            873,
            874,
            813,
            874,
            814,
            814,
            874,
            875,
            814,
            875,
            815,
            815,
            875,
            876,
            815,
            876,
            816,
            816,
            876,
            877,
            816,
            877,
            817,
            817,
            877,
            878,
            817,
            878,
            818,
            818,
            878,
            879,
            818,
            879,
            819,
            819,
            879,
            880,
            819,
            880,
            820,
            820,
            880,
            881,
            820,
            881,
            821,
            821,
            881,
            882,
            821,
            882,
            822,
            822,
            882,
            883,
            822,
            883,
            823,
            823,
            883,
            884,
            823,
            884,
            824,
            824,
            884,
            885,
            824,
            885,
            825,
            825,
            885,
            886,
            825,
            886,
            826,
            826,
            886,
            887,
            826,
            887,
            827,
            827,
            887,
            888,
            827,
            888,
            828,
            828,
            888,
            889,
            828,
            889,
            829,
            829,
            889,
            890,
            829,
            890,
            830,
            830,
            890,
            891,
            830,
            891,
            831,
            831,
            891,
            892,
            831,
            892,
            832,
            832,
            892,
            893,
            832,
            893,
            833,
            833,
            893,
            894,
            833,
            894,
            834,
            834,
            894,
            895,
            834,
            895,
            835,
            835,
            895,
            896,
            835,
            896,
            836,
            836,
            896,
            897,
            836,
            897,
            837,
            837,
            897,
            898,
            837,
            898,
            838,
            838,
            898,
            899,
            838,
            899,
            839,
            839,
            899,
            900,
            839,
            900,
            840,
            840,
            900,
            901,
            840,
            901,
            841,
            841,
            901,
            902,
            841,
            902,
            842,
            842,
            902,
            903,
            842,
            903,
            843,
            843,
            903,
            904,
            843,
            904,
            844,
            844,
            904,
            905,
            844,
            905,
            845,
            845,
            905,
            906,
            845,
            906,
            846,
            846,
            906,
            907,
            846,
            907,
            847,
            847,
            907,
            908,
            847,
            908,
            848,
            848,
            908,
            909,
            848,
            909,
            849,
            849,
            909,
            910,
            849,
            910,
            850,
            850,
            910,
            911,
            850,
            911,
            851,
            851,
            911,
            912,
            851,
            912,
            852,
            852,
            912,
            913,
            852,
            913,
            853,
            853,
            913,
            914,
            854,
            915,
            855,
            855,
            915,
            916,
            855,
            916,
            856,
            856,
            916,
            917,
            856,
            917,
            857,
            857,
            917,
            918,
            857,
            918,
            858,
            858,
            918,
            919,
            858,
            919,
            859,
            859,
            919,
            920,
            859,
            920,
            860,
            860,
            920,
            921,
            860,
            921,
            861,
            861,
            921,
            922,
            861,
            922,
            862,
            862,
            922,
            923,
            862,
            923,
            863,
            863,
            923,
            924,
            863,
            924,
            864,
            864,
            924,
            925,
            864,
            925,
            865,
            865,
            925,
            926,
            865,
            926,
            866,
            866,
            926,
            927,
            866,
            927,
            867,
            867,
            927,
            928,
            867,
            928,
            868,
            868,
            928,
            929,
            868,
            929,
            869,
            869,
            929,
            930,
            869,
            930,
            870,
            870,
            930,
            931,
            870,
            931,
            871,
            871,
            931,
            932,
            871,
            932,
            872,
            872,
            932,
            933,
            872,
            933,
            873,
            873,
            933,
            934,
            873,
            934,
            874,
            874,
            934,
            935,
            874,
            935,
            875,
            875,
            935,
            936,
            875,
            936,
            876,
            876,
            936,
            937,
            876,
            937,
            877,
            877,
            937,
            938,
            877,
            938,
            878,
            878,
            938,
            939,
            878,
            939,
            879,
            879,
            939,
            940,
            879,
            940,
            880,
            880,
            940,
            941,
            880,
            941,
            881,
            881,
            941,
            942,
            881,
            942,
            882,
            882,
            942,
            943,
            882,
            943,
            883,
            883,
            943,
            944,
            883,
            944,
            884,
            884,
            944,
            945,
            884,
            945,
            885,
            885,
            945,
            946,
            885,
            946,
            886,
            886,
            946,
            947,
            886,
            947,
            887,
            887,
            947,
            948,
            887,
            948,
            888,
            888,
            948,
            949,
            888,
            949,
            889,
            889,
            949,
            950,
            889,
            950,
            890,
            890,
            950,
            951,
            890,
            951,
            891,
            891,
            951,
            952,
            891,
            952,
            892,
            892,
            952,
            953,
            892,
            953,
            893,
            893,
            953,
            954,
            893,
            954,
            894,
            894,
            954,
            955,
            894,
            955,
            895,
            895,
            955,
            956,
            895,
            956,
            896,
            896,
            956,
            957,
            896,
            957,
            897,
            897,
            957,
            958,
            897,
            958,
            898,
            898,
            958,
            959,
            898,
            959,
            899,
            899,
            959,
            960,
            899,
            960,
            900,
            900,
            960,
            961,
            900,
            961,
            901,
            901,
            961,
            962,
            901,
            962,
            902,
            902,
            962,
            963,
            902,
            963,
            903,
            903,
            963,
            964,
            903,
            964,
            904,
            904,
            964,
            965,
            904,
            965,
            905,
            905,
            965,
            966,
            905,
            966,
            906,
            906,
            966,
            967,
            906,
            967,
            907,
            907,
            967,
            968,
            907,
            968,
            908,
            908,
            968,
            969,
            908,
            969,
            909,
            909,
            969,
            970,
            909,
            970,
            910,
            910,
            970,
            971,
            910,
            971,
            911,
            911,
            971,
            972,
            911,
            972,
            912,
            912,
            972,
            973,
            912,
            973,
            913,
            913,
            973,
            974,
            913,
            974,
            914,
            914,
            974,
            975,
            915,
            976,
            916,
            916,
            976,
            977,
            916,
            977,
            917,
            917,
            977,
            978,
            917,
            978,
            918,
            918,
            978,
            979,
            918,
            979,
            919,
            919,
            979,
            980,
            919,
            980,
            920,
            920,
            980,
            981,
            920,
            981,
            921,
            921,
            981,
            982,
            921,
            982,
            922,
            922,
            982,
            983,
            922,
            983,
            923,
            923,
            983,
            984,
            923,
            984,
            924,
            924,
            984,
            985,
            924,
            985,
            925,
            925,
            985,
            986,
            925,
            986,
            926,
            926,
            986,
            987,
            926,
            987,
            927,
            927,
            987,
            988,
            927,
            988,
            928,
            928,
            988,
            989,
            928,
            989,
            929,
            929,
            989,
            990,
            929,
            990,
            930,
            930,
            990,
            991,
            930,
            991,
            931,
            931,
            991,
            992,
            931,
            992,
            932,
            932,
            992,
            993,
            932,
            993,
            933,
            933,
            993,
            994,
            933,
            994,
            934,
            934,
            994,
            995,
            934,
            995,
            935,
            935,
            995,
            996,
            935,
            996,
            936,
            936,
            996,
            997,
            936,
            997,
            937,
            937,
            997,
            998,
            937,
            998,
            938,
            938,
            998,
            999,
            938,
            999,
            939,
            939,
            999,
            1000,
            939,
            1000,
            940,
            940,
            1000,
            1001,
            940,
            1001,
            941,
            941,
            1001,
            1002,
            941,
            1002,
            942,
            942,
            1002,
            1003,
            942,
            1003,
            943,
            943,
            1003,
            1004,
            943,
            1004,
            944,
            944,
            1004,
            1005,
            944,
            1005,
            945,
            945,
            1005,
            1006,
            945,
            1006,
            946,
            946,
            1006,
            1007,
            946,
            1007,
            947,
            947,
            1007,
            1008,
            947,
            1008,
            948,
            948,
            1008,
            1009,
            948,
            1009,
            949,
            949,
            1009,
            1010,
            949,
            1010,
            950,
            950,
            1010,
            1011,
            950,
            1011,
            951,
            951,
            1011,
            1012,
            951,
            1012,
            952,
            952,
            1012,
            1013,
            952,
            1013,
            953,
            953,
            1013,
            1014,
            953,
            1014,
            954,
            954,
            1014,
            1015,
            954,
            1015,
            955,
            955,
            1015,
            1016,
            955,
            1016,
            956,
            956,
            1016,
            1017,
            956,
            1017,
            957,
            957,
            1017,
            1018,
            957,
            1018,
            958,
            958,
            1018,
            1019,
            958,
            1019,
            959,
            959,
            1019,
            1020,
            959,
            1020,
            960,
            960,
            1020,
            1021,
            960,
            1021,
            961,
            961,
            1021,
            1022,
            961,
            1022,
            962,
            962,
            1022,
            1023,
            962,
            1023,
            963,
            963,
            1023,
            1024,
            963,
            1024,
            964,
            964,
            1024,
            1025,
            964,
            1025,
            965,
            965,
            1025,
            1026,
            965,
            1026,
            966,
            966,
            1026,
            1027,
            966,
            1027,
            967,
            967,
            1027,
            1028,
            967,
            1028,
            968,
            968,
            1028,
            1029,
            968,
            1029,
            969,
            969,
            1029,
            1030,
            969,
            1030,
            970,
            970,
            1030,
            1031,
            970,
            1031,
            971,
            971,
            1031,
            1032,
            971,
            1032,
            972,
            972,
            1032,
            1033,
            972,
            1033,
            973,
            973,
            1033,
            1034,
            973,
            1034,
            974,
            974,
            1034,
            1035,
            974,
            1035,
            975,
            975,
            1035,
            1036,
            976,
            1037,
            977,
            977,
            1037,
            1038,
            977,
            1038,
            978,
            978,
            1038,
            1039,
            978,
            1039,
            979,
            979,
            1039,
            1040,
            979,
            1040,
            980,
            980,
            1040,
            1041,
            980,
            1041,
            981,
            981,
            1041,
            1042,
            981,
            1042,
            982,
            982,
            1042,
            1043,
            982,
            1043,
            983,
            983,
            1043,
            1044,
            983,
            1044,
            984,
            984,
            1044,
            1045,
            984,
            1045,
            985,
            985,
            1045,
            1046,
            985,
            1046,
            986,
            986,
            1046,
            1047,
            986,
            1047,
            987,
            987,
            1047,
            1048,
            987,
            1048,
            988,
            988,
            1048,
            1049,
            988,
            1049,
            989,
            989,
            1049,
            1050,
            989,
            1050,
            990,
            990,
            1050,
            1051,
            990,
            1051,
            991,
            991,
            1051,
            1052,
            991,
            1052,
            992,
            992,
            1052,
            1053,
            992,
            1053,
            993,
            993,
            1053,
            1054,
            993,
            1054,
            994,
            994,
            1054,
            1055,
            994,
            1055,
            995,
            995,
            1055,
            1056,
            995,
            1056,
            996,
            996,
            1056,
            1057,
            996,
            1057,
            997,
            997,
            1057,
            1058,
            997,
            1058,
            998,
            998,
            1058,
            1059,
            998,
            1059,
            999,
            999,
            1059,
            1060,
            999,
            1060,
            1000,
            1000,
            1060,
            1061,
            1000,
            1061,
            1001,
            1001,
            1061,
            1062,
            1001,
            1062,
            1002,
            1002,
            1062,
            1063,
            1002,
            1063,
            1003,
            1003,
            1063,
            1064,
            1003,
            1064,
            1004,
            1004,
            1064,
            1065,
            1004,
            1065,
            1005,
            1005,
            1065,
            1066,
            1005,
            1066,
            1006,
            1006,
            1066,
            1067,
            1006,
            1067,
            1007,
            1007,
            1067,
            1068,
            1007,
            1068,
            1008,
            1008,
            1068,
            1069,
            1008,
            1069,
            1009,
            1009,
            1069,
            1070,
            1009,
            1070,
            1010,
            1010,
            1070,
            1071,
            1010,
            1071,
            1011,
            1011,
            1071,
            1072,
            1011,
            1072,
            1012,
            1012,
            1072,
            1073,
            1012,
            1073,
            1013,
            1013,
            1073,
            1074,
            1013,
            1074,
            1014,
            1014,
            1074,
            1075,
            1014,
            1075,
            1015,
            1015,
            1075,
            1076,
            1015,
            1076,
            1016,
            1016,
            1076,
            1077,
            1016,
            1077,
            1017,
            1017,
            1077,
            1078,
            1017,
            1078,
            1018,
            1018,
            1078,
            1079,
            1018,
            1079,
            1019,
            1019,
            1079,
            1080,
            1019,
            1080,
            1020,
            1020,
            1080,
            1081,
            1020,
            1081,
            1021,
            1021,
            1081,
            1082,
            1021,
            1082,
            1022,
            1022,
            1082,
            1083,
            1022,
            1083,
            1023,
            1023,
            1083,
            1084,
            1023,
            1084,
            1024,
            1024,
            1084,
            1085,
            1024,
            1085,
            1025,
            1025,
            1085,
            1086,
            1025,
            1086,
            1026,
            1026,
            1086,
            1087,
            1026,
            1087,
            1027,
            1027,
            1087,
            1088,
            1027,
            1088,
            1028,
            1028,
            1088,
            1089,
            1028,
            1089,
            1029,
            1029,
            1089,
            1090,
            1029,
            1090,
            1030,
            1030,
            1090,
            1091,
            1030,
            1091,
            1031,
            1031,
            1091,
            1092,
            1031,
            1092,
            1032,
            1032,
            1092,
            1093,
            1032,
            1093,
            1033,
            1033,
            1093,
            1094,
            1033,
            1094,
            1034,
            1034,
            1094,
            1095,
            1034,
            1095,
            1035,
            1035,
            1095,
            1096,
            1035,
            1096,
            1036,
            1036,
            1096,
            1097,
            1037,
            1098,
            1038,
            1038,
            1098,
            1099,
            1038,
            1099,
            1039,
            1039,
            1099,
            1100,
            1039,
            1100,
            1040,
            1040,
            1100,
            1101,
            1040,
            1101,
            1041,
            1041,
            1101,
            1102,
            1041,
            1102,
            1042,
            1042,
            1102,
            1103,
            1042,
            1103,
            1043,
            1043,
            1103,
            1104,
            1043,
            1104,
            1044,
            1044,
            1104,
            1105,
            1044,
            1105,
            1045,
            1045,
            1105,
            1106,
            1045,
            1106,
            1046,
            1046,
            1106,
            1107,
            1046,
            1107,
            1047,
            1047,
            1107,
            1108,
            1047,
            1108,
            1048,
            1048,
            1108,
            1109,
            1048,
            1109,
            1049,
            1049,
            1109,
            1110,
            1049,
            1110,
            1050,
            1050,
            1110,
            1111,
            1050,
            1111,
            1051,
            1051,
            1111,
            1112,
            1051,
            1112,
            1052,
            1052,
            1112,
            1113,
            1052,
            1113,
            1053,
            1053,
            1113,
            1114,
            1053,
            1114,
            1054,
            1054,
            1114,
            1115,
            1054,
            1115,
            1055,
            1055,
            1115,
            1116,
            1055,
            1116,
            1056,
            1056,
            1116,
            1117,
            1056,
            1117,
            1057,
            1057,
            1117,
            1118,
            1057,
            1118,
            1058,
            1058,
            1118,
            1119,
            1058,
            1119,
            1059,
            1059,
            1119,
            1120,
            1059,
            1120,
            1060,
            1060,
            1120,
            1121,
            1060,
            1121,
            1061,
            1061,
            1121,
            1122,
            1061,
            1122,
            1062,
            1062,
            1122,
            1123,
            1062,
            1123,
            1063,
            1063,
            1123,
            1124,
            1063,
            1124,
            1064,
            1064,
            1124,
            1125,
            1064,
            1125,
            1065,
            1065,
            1125,
            1126,
            1065,
            1126,
            1066,
            1066,
            1126,
            1127,
            1066,
            1127,
            1067,
            1067,
            1127,
            1128,
            1067,
            1128,
            1068,
            1068,
            1128,
            1129,
            1068,
            1129,
            1069,
            1069,
            1129,
            1130,
            1069,
            1130,
            1070,
            1070,
            1130,
            1131,
            1070,
            1131,
            1071,
            1071,
            1131,
            1132,
            1071,
            1132,
            1072,
            1072,
            1132,
            1133,
            1072,
            1133,
            1073,
            1073,
            1133,
            1134,
            1073,
            1134,
            1074,
            1074,
            1134,
            1135,
            1074,
            1135,
            1075,
            1075,
            1135,
            1136,
            1075,
            1136,
            1076,
            1076,
            1136,
            1137,
            1076,
            1137,
            1077,
            1077,
            1137,
            1138,
            1077,
            1138,
            1078,
            1078,
            1138,
            1139,
            1078,
            1139,
            1079,
            1079,
            1139,
            1140,
            1079,
            1140,
            1080,
            1080,
            1140,
            1141,
            1080,
            1141,
            1081,
            1081,
            1141,
            1142,
            1081,
            1142,
            1082,
            1082,
            1142,
            1143,
            1082,
            1143,
            1083,
            1083,
            1143,
            1144,
            1083,
            1144,
            1084,
            1084,
            1144,
            1145,
            1084,
            1145,
            1085,
            1085,
            1145,
            1146,
            1085,
            1146,
            1086,
            1086,
            1146,
            1147,
            1086,
            1147,
            1087,
            1087,
            1147,
            1148,
            1087,
            1148,
            1088,
            1088,
            1148,
            1149,
            1088,
            1149,
            1089,
            1089,
            1149,
            1150,
            1089,
            1150,
            1090,
            1090,
            1150,
            1151,
            1090,
            1151,
            1091,
            1091,
            1151,
            1152,
            1091,
            1152,
            1092,
            1092,
            1152,
            1153,
            1092,
            1153,
            1093,
            1093,
            1153,
            1154,
            1093,
            1154,
            1094,
            1094,
            1154,
            1155,
            1094,
            1155,
            1095,
            1095,
            1155,
            1156,
            1095,
            1156,
            1096,
            1096,
            1156,
            1157,
            1096,
            1157,
            1097,
            1097,
            1157,
            1158,
            1098,
            1159,
            1099,
            1099,
            1159,
            1160,
            1099,
            1160,
            1100,
            1100,
            1160,
            1161,
            1100,
            1161,
            1101,
            1101,
            1161,
            1162,
            1101,
            1162,
            1102,
            1102,
            1162,
            1163,
            1102,
            1163,
            1103,
            1103,
            1163,
            1164,
            1103,
            1164,
            1104,
            1104,
            1164,
            1165,
            1104,
            1165,
            1105,
            1105,
            1165,
            1166,
            1105,
            1166,
            1106,
            1106,
            1166,
            1167,
            1106,
            1167,
            1107,
            1107,
            1167,
            1168,
            1107,
            1168,
            1108,
            1108,
            1168,
            1169,
            1108,
            1169,
            1109,
            1109,
            1169,
            1170,
            1109,
            1170,
            1110,
            1110,
            1170,
            1171,
            1110,
            1171,
            1111,
            1111,
            1171,
            1172,
            1111,
            1172,
            1112,
            1112,
            1172,
            1173,
            1112,
            1173,
            1113,
            1113,
            1173,
            1174,
            1113,
            1174,
            1114,
            1114,
            1174,
            1175,
            1114,
            1175,
            1115,
            1115,
            1175,
            1176,
            1115,
            1176,
            1116,
            1116,
            1176,
            1177,
            1116,
            1177,
            1117,
            1117,
            1177,
            1178,
            1117,
            1178,
            1118,
            1118,
            1178,
            1179,
            1118,
            1179,
            1119,
            1119,
            1179,
            1180,
            1119,
            1180,
            1120,
            1120,
            1180,
            1181,
            1120,
            1181,
            1121,
            1121,
            1181,
            1182,
            1121,
            1182,
            1122,
            1122,
            1182,
            1183,
            1122,
            1183,
            1123,
            1123,
            1183,
            1184,
            1123,
            1184,
            1124,
            1124,
            1184,
            1185,
            1124,
            1185,
            1125,
            1125,
            1185,
            1186,
            1125,
            1186,
            1126,
            1126,
            1186,
            1187,
            1126,
            1187,
            1127,
            1127,
            1187,
            1188,
            1127,
            1188,
            1128,
            1128,
            1188,
            1189,
            1128,
            1189,
            1129,
            1129,
            1189,
            1190,
            1129,
            1190,
            1130,
            1130,
            1190,
            1191,
            1130,
            1191,
            1131,
            1131,
            1191,
            1192,
            1131,
            1192,
            1132,
            1132,
            1192,
            1193,
            1132,
            1193,
            1133,
            1133,
            1193,
            1194,
            1133,
            1194,
            1134,
            1134,
            1194,
            1195,
            1134,
            1195,
            1135,
            1135,
            1195,
            1196,
            1135,
            1196,
            1136,
            1136,
            1196,
            1197,
            1136,
            1197,
            1137,
            1137,
            1197,
            1198,
            1137,
            1198,
            1138,
            1138,
            1198,
            1199,
            1138,
            1199,
            1139,
            1139,
            1199,
            1200,
            1139,
            1200,
            1140,
            1140,
            1200,
            1201,
            1140,
            1201,
            1141,
            1141,
            1201,
            1202,
            1141,
            1202,
            1142,
            1142,
            1202,
            1203,
            1142,
            1203,
            1143,
            1143,
            1203,
            1204,
            1143,
            1204,
            1144,
            1144,
            1204,
            1205,
            1144,
            1205,
            1145,
            1145,
            1205,
            1206,
            1145,
            1206,
            1146,
            1146,
            1206,
            1207,
            1146,
            1207,
            1147,
            1147,
            1207,
            1208,
            1147,
            1208,
            1148,
            1148,
            1208,
            1209,
            1148,
            1209,
            1149,
            1149,
            1209,
            1210,
            1149,
            1210,
            1150,
            1150,
            1210,
            1211,
            1150,
            1211,
            1151,
            1151,
            1211,
            1212,
            1151,
            1212,
            1152,
            1152,
            1212,
            1213,
            1152,
            1213,
            1153,
            1153,
            1213,
            1214,
            1153,
            1214,
            1154,
            1154,
            1214,
            1215,
            1154,
            1215,
            1155,
            1155,
            1215,
            1216,
            1155,
            1216,
            1156,
            1156,
            1216,
            1217,
            1156,
            1217,
            1157,
            1157,
            1217,
            1218,
            1157,
            1218,
            1158,
            1158,
            1218,
            1219,
            1159,
            1220,
            1160,
            1160,
            1220,
            1221,
            1160,
            1221,
            1161,
            1161,
            1221,
            1222,
            1161,
            1222,
            1162,
            1162,
            1222,
            1223,
            1162,
            1223,
            1163,
            1163,
            1223,
            1224,
            1163,
            1224,
            1164,
            1164,
            1224,
            1225,
            1164,
            1225,
            1165,
            1165,
            1225,
            1226,
            1165,
            1226,
            1166,
            1166,
            1226,
            1227,
            1166,
            1227,
            1167,
            1167,
            1227,
            1228,
            1167,
            1228,
            1168,
            1168,
            1228,
            1229,
            1168,
            1229,
            1169,
            1169,
            1229,
            1230,
            1169,
            1230,
            1170,
            1170,
            1230,
            1231,
            1170,
            1231,
            1171,
            1171,
            1231,
            1232,
            1171,
            1232,
            1172,
            1172,
            1232,
            1233,
            1172,
            1233,
            1173,
            1173,
            1233,
            1234,
            1173,
            1234,
            1174,
            1174,
            1234,
            1235,
            1174,
            1235,
            1175,
            1175,
            1235,
            1236,
            1175,
            1236,
            1176,
            1176,
            1236,
            1237,
            1176,
            1237,
            1177,
            1177,
            1237,
            1238,
            1177,
            1238,
            1178,
            1178,
            1238,
            1239,
            1178,
            1239,
            1179,
            1179,
            1239,
            1240,
            1179,
            1240,
            1180,
            1180,
            1240,
            1241,
            1180,
            1241,
            1181,
            1181,
            1241,
            1242,
            1181,
            1242,
            1182,
            1182,
            1242,
            1243,
            1182,
            1243,
            1183,
            1183,
            1243,
            1244,
            1183,
            1244,
            1184,
            1184,
            1244,
            1245,
            1184,
            1245,
            1185,
            1185,
            1245,
            1246,
            1185,
            1246,
            1186,
            1186,
            1246,
            1247,
            1186,
            1247,
            1187,
            1187,
            1247,
            1248,
            1187,
            1248,
            1188,
            1188,
            1248,
            1249,
            1188,
            1249,
            1189,
            1189,
            1249,
            1250,
            1189,
            1250,
            1190,
            1190,
            1250,
            1251,
            1190,
            1251,
            1191,
            1191,
            1251,
            1252,
            1191,
            1252,
            1192,
            1192,
            1252,
            1253,
            1192,
            1253,
            1193,
            1193,
            1253,
            1254,
            1193,
            1254,
            1194,
            1194,
            1254,
            1255,
            1194,
            1255,
            1195,
            1195,
            1255,
            1256,
            1195,
            1256,
            1196,
            1196,
            1256,
            1257,
            1196,
            1257,
            1197,
            1197,
            1257,
            1258,
            1197,
            1258,
            1198,
            1198,
            1258,
            1259,
            1198,
            1259,
            1199,
            1199,
            1259,
            1260,
            1199,
            1260,
            1200,
            1200,
            1260,
            1261,
            1200,
            1261,
            1201,
            1201,
            1261,
            1262,
            1201,
            1262,
            1202,
            1202,
            1262,
            1263,
            1202,
            1263,
            1203,
            1203,
            1263,
            1264,
            1203,
            1264,
            1204,
            1204,
            1264,
            1265,
            1204,
            1265,
            1205,
            1205,
            1265,
            1266,
            1205,
            1266,
            1206,
            1206,
            1266,
            1267,
            1206,
            1267,
            1207,
            1207,
            1267,
            1268,
            1207,
            1268,
            1208,
            1208,
            1268,
            1269,
            1208,
            1269,
            1209,
            1209,
            1269,
            1270,
            1209,
            1270,
            1210,
            1210,
            1270,
            1271,
            1210,
            1271,
            1211,
            1211,
            1271,
            1272,
            1211,
            1272,
            1212,
            1212,
            1272,
            1273,
            1212,
            1273,
            1213,
            1213,
            1273,
            1274,
            1213,
            1274,
            1214,
            1214,
            1274,
            1275,
            1214,
            1275,
            1215,
            1215,
            1275,
            1276,
            1215,
            1276,
            1216,
            1216,
            1276,
            1277,
            1216,
            1277,
            1217,
            1217,
            1277,
            1278,
            1217,
            1278,
            1218,
            1218,
            1278,
            1279,
            1218,
            1279,
            1219,
            1219,
            1279,
            1280,
            1220,
            1281,
            1221,
            1221,
            1281,
            1282,
            1221,
            1282,
            1222,
            1222,
            1282,
            1283,
            1222,
            1283,
            1223,
            1223,
            1283,
            1284,
            1223,
            1284,
            1224,
            1224,
            1284,
            1285,
            1224,
            1285,
            1225,
            1225,
            1285,
            1286,
            1225,
            1286,
            1226,
            1226,
            1286,
            1287,
            1226,
            1287,
            1227,
            1227,
            1287,
            1288,
            1227,
            1288,
            1228,
            1228,
            1288,
            1289,
            1228,
            1289,
            1229,
            1229,
            1289,
            1290,
            1229,
            1290,
            1230,
            1230,
            1290,
            1291,
            1230,
            1291,
            1231,
            1231,
            1291,
            1292,
            1231,
            1292,
            1232,
            1232,
            1292,
            1293,
            1232,
            1293,
            1233,
            1233,
            1293,
            1294,
            1233,
            1294,
            1234,
            1234,
            1294,
            1295,
            1234,
            1295,
            1235,
            1235,
            1295,
            1296,
            1235,
            1296,
            1236,
            1236,
            1296,
            1297,
            1236,
            1297,
            1237,
            1237,
            1297,
            1298,
            1237,
            1298,
            1238,
            1238,
            1298,
            1299,
            1238,
            1299,
            1239,
            1239,
            1299,
            1300,
            1239,
            1300,
            1240,
            1240,
            1300,
            1301,
            1240,
            1301,
            1241,
            1241,
            1301,
            1302,
            1241,
            1302,
            1242,
            1242,
            1302,
            1303,
            1242,
            1303,
            1243,
            1243,
            1303,
            1304,
            1243,
            1304,
            1244,
            1244,
            1304,
            1305,
            1244,
            1305,
            1245,
            1245,
            1305,
            1306,
            1245,
            1306,
            1246,
            1246,
            1306,
            1307,
            1246,
            1307,
            1247,
            1247,
            1307,
            1308,
            1247,
            1308,
            1248,
            1248,
            1308,
            1309,
            1248,
            1309,
            1249,
            1249,
            1309,
            1310,
            1249,
            1310,
            1250,
            1250,
            1310,
            1311,
            1250,
            1311,
            1251,
            1251,
            1311,
            1312,
            1251,
            1312,
            1252,
            1252,
            1312,
            1313,
            1252,
            1313,
            1253,
            1253,
            1313,
            1314,
            1253,
            1314,
            1254,
            1254,
            1314,
            1315,
            1254,
            1315,
            1255,
            1255,
            1315,
            1316,
            1255,
            1316,
            1256,
            1256,
            1316,
            1317,
            1256,
            1317,
            1257,
            1257,
            1317,
            1318,
            1257,
            1318,
            1258,
            1258,
            1318,
            1319,
            1258,
            1319,
            1259,
            1259,
            1319,
            1320,
            1259,
            1320,
            1260,
            1260,
            1320,
            1321,
            1260,
            1321,
            1261,
            1261,
            1321,
            1322,
            1261,
            1322,
            1262,
            1262,
            1322,
            1323,
            1262,
            1323,
            1263,
            1263,
            1323,
            1324,
            1263,
            1324,
            1264,
            1264,
            1324,
            1325,
            1264,
            1325,
            1265,
            1265,
            1325,
            1326,
            1265,
            1326,
            1266,
            1266,
            1326,
            1327,
            1266,
            1327,
            1267,
            1267,
            1327,
            1328,
            1267,
            1328,
            1268,
            1268,
            1328,
            1329,
            1268,
            1329,
            1269,
            1269,
            1329,
            1330,
            1269,
            1330,
            1270,
            1270,
            1330,
            1331,
            1270,
            1331,
            1271,
            1271,
            1331,
            1332,
            1271,
            1332,
            1272,
            1272,
            1332,
            1333,
            1272,
            1333,
            1273,
            1273,
            1333,
            1334,
            1273,
            1334,
            1274,
            1274,
            1334,
            1335,
            1274,
            1335,
            1275,
            1275,
            1335,
            1336,
            1275,
            1336,
            1276,
            1276,
            1336,
            1337,
            1276,
            1337,
            1277,
            1277,
            1337,
            1338,
            1277,
            1338,
            1278,
            1278,
            1338,
            1339,
            1278,
            1339,
            1279,
            1279,
            1339,
            1340,
            1279,
            1340,
            1280,
            1280,
            1340,
            1341,
            1281,
            1342,
            1282,
            1282,
            1342,
            1343,
            1282,
            1343,
            1283,
            1283,
            1343,
            1344,
            1283,
            1344,
            1284,
            1284,
            1344,
            1345,
            1284,
            1345,
            1285,
            1285,
            1345,
            1346,
            1285,
            1346,
            1286,
            1286,
            1346,
            1347,
            1286,
            1347,
            1287,
            1287,
            1347,
            1348,
            1287,
            1348,
            1288,
            1288,
            1348,
            1349,
            1288,
            1349,
            1289,
            1289,
            1349,
            1350,
            1289,
            1350,
            1290,
            1290,
            1350,
            1351,
            1290,
            1351,
            1291,
            1291,
            1351,
            1352,
            1291,
            1352,
            1292,
            1292,
            1352,
            1353,
            1292,
            1353,
            1293,
            1293,
            1353,
            1354,
            1293,
            1354,
            1294,
            1294,
            1354,
            1355,
            1294,
            1355,
            1295,
            1295,
            1355,
            1356,
            1295,
            1356,
            1296,
            1296,
            1356,
            1357,
            1296,
            1357,
            1297,
            1297,
            1357,
            1358,
            1297,
            1358,
            1298,
            1298,
            1358,
            1359,
            1298,
            1359,
            1299,
            1299,
            1359,
            1360,
            1299,
            1360,
            1300,
            1300,
            1360,
            1361,
            1300,
            1361,
            1301,
            1301,
            1361,
            1362,
            1301,
            1362,
            1302,
            1302,
            1362,
            1363,
            1302,
            1363,
            1303,
            1303,
            1363,
            1364,
            1303,
            1364,
            1304,
            1304,
            1364,
            1365,
            1304,
            1365,
            1305,
            1305,
            1365,
            1366,
            1305,
            1366,
            1306,
            1306,
            1366,
            1367,
            1306,
            1367,
            1307,
            1307,
            1367,
            1368,
            1307,
            1368,
            1308,
            1308,
            1368,
            1369,
            1308,
            1369,
            1309,
            1309,
            1369,
            1370,
            1309,
            1370,
            1310,
            1310,
            1370,
            1371,
            1310,
            1371,
            1311,
            1311,
            1371,
            1372,
            1311,
            1372,
            1312,
            1312,
            1372,
            1373,
            1312,
            1373,
            1313,
            1313,
            1373,
            1374,
            1313,
            1374,
            1314,
            1314,
            1374,
            1375,
            1314,
            1375,
            1315,
            1315,
            1375,
            1376,
            1315,
            1376,
            1316,
            1316,
            1376,
            1377,
            1316,
            1377,
            1317,
            1317,
            1377,
            1378,
            1317,
            1378,
            1318,
            1318,
            1378,
            1379,
            1318,
            1379,
            1319,
            1319,
            1379,
            1380,
            1319,
            1380,
            1320,
            1320,
            1380,
            1381,
            1320,
            1381,
            1321,
            1321,
            1381,
            1382,
            1321,
            1382,
            1322,
            1322,
            1382,
            1383,
            1322,
            1383,
            1323,
            1323,
            1383,
            1384,
            1323,
            1384,
            1324,
            1324,
            1384,
            1385,
            1324,
            1385,
            1325,
            1325,
            1385,
            1386,
            1325,
            1386,
            1326,
            1326,
            1386,
            1387,
            1326,
            1387,
            1327,
            1327,
            1387,
            1388,
            1327,
            1388,
            1328,
            1328,
            1388,
            1389,
            1328,
            1389,
            1329,
            1329,
            1389,
            1390,
            1329,
            1390,
            1330,
            1330,
            1390,
            1391,
            1330,
            1391,
            1331,
            1331,
            1391,
            1392,
            1331,
            1392,
            1332,
            1332,
            1392,
            1393,
            1332,
            1393,
            1333,
            1333,
            1393,
            1394,
            1333,
            1394,
            1334,
            1334,
            1394,
            1395,
            1334,
            1395,
            1335,
            1335,
            1395,
            1396,
            1335,
            1396,
            1336,
            1336,
            1396,
            1397,
            1336,
            1397,
            1337,
            1337,
            1397,
            1398,
            1337,
            1398,
            1338,
            1338,
            1398,
            1399,
            1338,
            1399,
            1339,
            1339,
            1399,
            1400,
            1339,
            1400,
            1340,
            1340,
            1400,
            1401,
            1340,
            1401,
            1341,
            1341,
            1401,
            1402,
            1342,
            1403,
            1343,
            1343,
            1403,
            1404,
            1343,
            1404,
            1344,
            1344,
            1404,
            1405,
            1344,
            1405,
            1345,
            1345,
            1405,
            1406,
            1345,
            1406,
            1346,
            1346,
            1406,
            1407,
            1346,
            1407,
            1347,
            1347,
            1407,
            1408,
            1347,
            1408,
            1348,
            1348,
            1408,
            1409,
            1348,
            1409,
            1349,
            1349,
            1409,
            1410,
            1349,
            1410,
            1350,
            1350,
            1410,
            1411,
            1350,
            1411,
            1351,
            1351,
            1411,
            1412,
            1351,
            1412,
            1352,
            1352,
            1412,
            1413,
            1352,
            1413,
            1353,
            1353,
            1413,
            1414,
            1353,
            1414,
            1354,
            1354,
            1414,
            1415,
            1354,
            1415,
            1355,
            1355,
            1415,
            1416,
            1355,
            1416,
            1356,
            1356,
            1416,
            1417,
            1356,
            1417,
            1357,
            1357,
            1417,
            1418,
            1357,
            1418,
            1358,
            1358,
            1418,
            1419,
            1358,
            1419,
            1359,
            1359,
            1419,
            1420,
            1359,
            1420,
            1360,
            1360,
            1420,
            1421,
            1360,
            1421,
            1361,
            1361,
            1421,
            1422,
            1361,
            1422,
            1362,
            1362,
            1422,
            1423,
            1362,
            1423,
            1363,
            1363,
            1423,
            1424,
            1363,
            1424,
            1364,
            1364,
            1424,
            1425,
            1364,
            1425,
            1365,
            1365,
            1425,
            1426,
            1365,
            1426,
            1366,
            1366,
            1426,
            1427,
            1366,
            1427,
            1367,
            1367,
            1427,
            1428,
            1367,
            1428,
            1368,
            1368,
            1428,
            1429,
            1368,
            1429,
            1369,
            1369,
            1429,
            1430,
            1369,
            1430,
            1370,
            1370,
            1430,
            1431,
            1370,
            1431,
            1371,
            1371,
            1431,
            1432,
            1371,
            1432,
            1372,
            1372,
            1432,
            1433,
            1372,
            1433,
            1373,
            1373,
            1433,
            1434,
            1373,
            1434,
            1374,
            1374,
            1434,
            1435,
            1374,
            1435,
            1375,
            1375,
            1435,
            1436,
            1375,
            1436,
            1376,
            1376,
            1436,
            1437,
            1376,
            1437,
            1377,
            1377,
            1437,
            1438,
            1377,
            1438,
            1378,
            1378,
            1438,
            1439,
            1378,
            1439,
            1379,
            1379,
            1439,
            1440,
            1379,
            1440,
            1380,
            1380,
            1440,
            1441,
            1380,
            1441,
            1381,
            1381,
            1441,
            1442,
            1381,
            1442,
            1382,
            1382,
            1442,
            1443,
            1382,
            1443,
            1383,
            1383,
            1443,
            1444,
            1383,
            1444,
            1384,
            1384,
            1444,
            1445,
            1384,
            1445,
            1385,
            1385,
            1445,
            1446,
            1385,
            1446,
            1386,
            1386,
            1446,
            1447,
            1386,
            1447,
            1387,
            1387,
            1447,
            1448,
            1387,
            1448,
            1388,
            1388,
            1448,
            1449,
            1388,
            1449,
            1389,
            1389,
            1449,
            1450,
            1389,
            1450,
            1390,
            1390,
            1450,
            1451,
            1390,
            1451,
            1391,
            1391,
            1451,
            1452,
            1391,
            1452,
            1392,
            1392,
            1452,
            1453,
            1392,
            1453,
            1393,
            1393,
            1453,
            1454,
            1393,
            1454,
            1394,
            1394,
            1454,
            1455,
            1394,
            1455,
            1395,
            1395,
            1455,
            1456,
            1395,
            1456,
            1396,
            1396,
            1456,
            1457,
            1396,
            1457,
            1397,
            1397,
            1457,
            1458,
            1397,
            1458,
            1398,
            1398,
            1458,
            1459,
            1398,
            1459,
            1399,
            1399,
            1459,
            1460,
            1399,
            1460,
            1400,
            1400,
            1460,
            1461,
            1400,
            1461,
            1401,
            1401,
            1461,
            1462,
            1401,
            1462,
            1402,
            1402,
            1462,
            1463,
            1403,
            1464,
            1404,
            1404,
            1464,
            1465,
            1404,
            1465,
            1405,
            1405,
            1465,
            1466,
            1405,
            1466,
            1406,
            1406,
            1466,
            1467,
            1406,
            1467,
            1407,
            1407,
            1467,
            1468,
            1407,
            1468,
            1408,
            1408,
            1468,
            1469,
            1408,
            1469,
            1409,
            1409,
            1469,
            1470,
            1409,
            1470,
            1410,
            1410,
            1470,
            1471,
            1410,
            1471,
            1411,
            1411,
            1471,
            1472,
            1411,
            1472,
            1412,
            1412,
            1472,
            1473,
            1412,
            1473,
            1413,
            1413,
            1473,
            1474,
            1413,
            1474,
            1414,
            1414,
            1474,
            1475,
            1414,
            1475,
            1415,
            1415,
            1475,
            1476,
            1415,
            1476,
            1416,
            1416,
            1476,
            1477,
            1416,
            1477,
            1417,
            1417,
            1477,
            1478,
            1417,
            1478,
            1418,
            1418,
            1478,
            1479,
            1418,
            1479,
            1419,
            1419,
            1479,
            1480,
            1419,
            1480,
            1420,
            1420,
            1480,
            1481,
            1420,
            1481,
            1421,
            1421,
            1481,
            1482,
            1421,
            1482,
            1422,
            1422,
            1482,
            1483,
            1422,
            1483,
            1423,
            1423,
            1483,
            1484,
            1423,
            1484,
            1424,
            1424,
            1484,
            1485,
            1424,
            1485,
            1425,
            1425,
            1485,
            1486,
            1425,
            1486,
            1426,
            1426,
            1486,
            1487,
            1426,
            1487,
            1427,
            1427,
            1487,
            1488,
            1427,
            1488,
            1428,
            1428,
            1488,
            1489,
            1428,
            1489,
            1429,
            1429,
            1489,
            1490,
            1429,
            1490,
            1430,
            1430,
            1490,
            1491,
            1430,
            1491,
            1431,
            1431,
            1491,
            1492,
            1431,
            1492,
            1432,
            1432,
            1492,
            1493,
            1432,
            1493,
            1433,
            1433,
            1493,
            1494,
            1433,
            1494,
            1434,
            1434,
            1494,
            1495,
            1434,
            1495,
            1435,
            1435,
            1495,
            1496,
            1435,
            1496,
            1436,
            1436,
            1496,
            1497,
            1436,
            1497,
            1437,
            1437,
            1497,
            1498,
            1437,
            1498,
            1438,
            1438,
            1498,
            1499,
            1438,
            1499,
            1439,
            1439,
            1499,
            1500,
            1439,
            1500,
            1440,
            1440,
            1500,
            1501,
            1440,
            1501,
            1441,
            1441,
            1501,
            1502,
            1441,
            1502,
            1442,
            1442,
            1502,
            1503,
            1442,
            1503,
            1443,
            1443,
            1503,
            1504,
            1443,
            1504,
            1444,
            1444,
            1504,
            1505,
            1444,
            1505,
            1445,
            1445,
            1505,
            1506,
            1445,
            1506,
            1446,
            1446,
            1506,
            1507,
            1446,
            1507,
            1447,
            1447,
            1507,
            1508,
            1447,
            1508,
            1448,
            1448,
            1508,
            1509,
            1448,
            1509,
            1449,
            1449,
            1509,
            1510,
            1449,
            1510,
            1450,
            1450,
            1510,
            1511,
            1450,
            1511,
            1451,
            1451,
            1511,
            1512,
            1451,
            1512,
            1452,
            1452,
            1512,
            1513,
            1452,
            1513,
            1453,
            1453,
            1513,
            1514,
            1453,
            1514,
            1454,
            1454,
            1514,
            1515,
            1454,
            1515,
            1455,
            1455,
            1515,
            1516,
            1455,
            1516,
            1456,
            1456,
            1516,
            1517,
            1456,
            1517,
            1457,
            1457,
            1517,
            1518,
            1457,
            1518,
            1458,
            1458,
            1518,
            1519,
            1458,
            1519,
            1459,
            1459,
            1519,
            1520,
            1459,
            1520,
            1460,
            1460,
            1520,
            1521,
            1460,
            1521,
            1461,
            1461,
            1521,
            1522,
            1461,
            1522,
            1462,
            1462,
            1522,
            1523,
            1462,
            1523,
            1463,
            1463,
            1523,
            1524,
            1464,
            1525,
            1465,
            1465,
            1525,
            1526,
            1465,
            1526,
            1466,
            1466,
            1526,
            1527,
            1466,
            1527,
            1467,
            1467,
            1527,
            1528,
            1467,
            1528,
            1468,
            1468,
            1528,
            1529,
            1468,
            1529,
            1469,
            1469,
            1529,
            1530,
            1469,
            1530,
            1470,
            1470,
            1530,
            1531,
            1470,
            1531,
            1471,
            1471,
            1531,
            1532,
            1471,
            1532,
            1472,
            1472,
            1532,
            1533,
            1472,
            1533,
            1473,
            1473,
            1533,
            1534,
            1473,
            1534,
            1474,
            1474,
            1534,
            1535,
            1474,
            1535,
            1475,
            1475,
            1535,
            1536,
            1475,
            1536,
            1476,
            1476,
            1536,
            1537,
            1476,
            1537,
            1477,
            1477,
            1537,
            1538,
            1477,
            1538,
            1478,
            1478,
            1538,
            1539,
            1478,
            1539,
            1479,
            1479,
            1539,
            1540,
            1479,
            1540,
            1480,
            1480,
            1540,
            1541,
            1480,
            1541,
            1481,
            1481,
            1541,
            1542,
            1481,
            1542,
            1482,
            1482,
            1542,
            1543,
            1482,
            1543,
            1483,
            1483,
            1543,
            1544,
            1483,
            1544,
            1484,
            1484,
            1544,
            1545,
            1484,
            1545,
            1485,
            1485,
            1545,
            1546,
            1485,
            1546,
            1486,
            1486,
            1546,
            1547,
            1486,
            1547,
            1487,
            1487,
            1547,
            1548,
            1487,
            1548,
            1488,
            1488,
            1548,
            1549,
            1488,
            1549,
            1489,
            1489,
            1549,
            1550,
            1489,
            1550,
            1490,
            1490,
            1550,
            1551,
            1490,
            1551,
            1491,
            1491,
            1551,
            1552,
            1491,
            1552,
            1492,
            1492,
            1552,
            1553,
            1492,
            1553,
            1493,
            1493,
            1553,
            1554,
            1493,
            1554,
            1494,
            1494,
            1554,
            1555,
            1494,
            1555,
            1495,
            1495,
            1555,
            1556,
            1495,
            1556,
            1496,
            1496,
            1556,
            1557,
            1496,
            1557,
            1497,
            1497,
            1557,
            1558,
            1497,
            1558,
            1498,
            1498,
            1558,
            1559,
            1498,
            1559,
            1499,
            1499,
            1559,
            1560,
            1499,
            1560,
            1500,
            1500,
            1560,
            1561,
            1500,
            1561,
            1501,
            1501,
            1561,
            1562,
            1501,
            1562,
            1502,
            1502,
            1562,
            1563,
            1502,
            1563,
            1503,
            1503,
            1563,
            1564,
            1503,
            1564,
            1504,
            1504,
            1564,
            1565,
            1504,
            1565,
            1505,
            1505,
            1565,
            1566,
            1505,
            1566,
            1506,
            1506,
            1566,
            1567,
            1506,
            1567,
            1507,
            1507,
            1567,
            1568,
            1507,
            1568,
            1508,
            1508,
            1568,
            1569,
            1508,
            1569,
            1509,
            1509,
            1569,
            1570,
            1509,
            1570,
            1510,
            1510,
            1570,
            1571,
            1510,
            1571,
            1511,
            1511,
            1571,
            1572,
            1511,
            1572,
            1512,
            1512,
            1572,
            1573,
            1512,
            1573,
            1513,
            1513,
            1573,
            1574,
            1513,
            1574,
            1514,
            1514,
            1574,
            1575,
            1514,
            1575,
            1515,
            1515,
            1575,
            1576,
            1515,
            1576,
            1516,
            1516,
            1576,
            1577,
            1516,
            1577,
            1517,
            1517,
            1577,
            1578,
            1517,
            1578,
            1518,
            1518,
            1578,
            1579,
            1518,
            1579,
            1519,
            1519,
            1579,
            1580,
            1519,
            1580,
            1520,
            1520,
            1580,
            1581,
            1520,
            1581,
            1521,
            1521,
            1581,
            1582,
            1521,
            1582,
            1522,
            1522,
            1582,
            1583,
            1522,
            1583,
            1523,
            1523,
            1583,
            1584,
            1523,
            1584,
            1524,
            1524,
            1584,
            1585,
            1525,
            1586,
            1526,
            1526,
            1586,
            1587,
            1526,
            1587,
            1527,
            1527,
            1587,
            1588,
            1527,
            1588,
            1528,
            1528,
            1588,
            1589,
            1528,
            1589,
            1529,
            1529,
            1589,
            1590,
            1529,
            1590,
            1530,
            1530,
            1590,
            1591,
            1530,
            1591,
            1531,
            1531,
            1591,
            1592,
            1531,
            1592,
            1532,
            1532,
            1592,
            1593,
            1532,
            1593,
            1533,
            1533,
            1593,
            1594,
            1533,
            1594,
            1534,
            1534,
            1594,
            1595,
            1534,
            1595,
            1535,
            1535,
            1595,
            1596,
            1535,
            1596,
            1536,
            1536,
            1596,
            1597,
            1536,
            1597,
            1537,
            1537,
            1597,
            1598,
            1537,
            1598,
            1538,
            1538,
            1598,
            1599,
            1538,
            1599,
            1539,
            1539,
            1599,
            1600,
            1539,
            1600,
            1540,
            1540,
            1600,
            1601,
            1540,
            1601,
            1541,
            1541,
            1601,
            1602,
            1541,
            1602,
            1542,
            1542,
            1602,
            1603,
            1542,
            1603,
            1543,
            1543,
            1603,
            1604,
            1543,
            1604,
            1544,
            1544,
            1604,
            1605,
            1544,
            1605,
            1545,
            1545,
            1605,
            1606,
            1545,
            1606,
            1546,
            1546,
            1606,
            1607,
            1546,
            1607,
            1547,
            1547,
            1607,
            1608,
            1547,
            1608,
            1548,
            1548,
            1608,
            1609,
            1548,
            1609,
            1549,
            1549,
            1609,
            1610,
            1549,
            1610,
            1550,
            1550,
            1610,
            1611,
            1550,
            1611,
            1551,
            1551,
            1611,
            1612,
            1551,
            1612,
            1552,
            1552,
            1612,
            1613,
            1552,
            1613,
            1553,
            1553,
            1613,
            1614,
            1553,
            1614,
            1554,
            1554,
            1614,
            1615,
            1554,
            1615,
            1555,
            1555,
            1615,
            1616,
            1555,
            1616,
            1556,
            1556,
            1616,
            1617,
            1556,
            1617,
            1557,
            1557,
            1617,
            1618,
            1557,
            1618,
            1558,
            1558,
            1618,
            1619,
            1558,
            1619,
            1559,
            1559,
            1619,
            1620,
            1559,
            1620,
            1560,
            1560,
            1620,
            1621,
            1560,
            1621,
            1561,
            1561,
            1621,
            1622,
            1561,
            1622,
            1562,
            1562,
            1622,
            1623,
            1562,
            1623,
            1563,
            1563,
            1623,
            1624,
            1563,
            1624,
            1564,
            1564,
            1624,
            1625,
            1564,
            1625,
            1565,
            1565,
            1625,
            1626,
            1565,
            1626,
            1566,
            1566,
            1626,
            1627,
            1566,
            1627,
            1567,
            1567,
            1627,
            1628,
            1567,
            1628,
            1568,
            1568,
            1628,
            1629,
            1568,
            1629,
            1569,
            1569,
            1629,
            1630,
            1569,
            1630,
            1570,
            1570,
            1630,
            1631,
            1570,
            1631,
            1571,
            1571,
            1631,
            1632,
            1571,
            1632,
            1572,
            1572,
            1632,
            1633,
            1572,
            1633,
            1573,
            1573,
            1633,
            1634,
            1573,
            1634,
            1574,
            1574,
            1634,
            1635,
            1574,
            1635,
            1575,
            1575,
            1635,
            1636,
            1575,
            1636,
            1576,
            1576,
            1636,
            1637,
            1576,
            1637,
            1577,
            1577,
            1637,
            1638,
            1577,
            1638,
            1578,
            1578,
            1638,
            1639,
            1578,
            1639,
            1579,
            1579,
            1639,
            1640,
            1579,
            1640,
            1580,
            1580,
            1640,
            1641,
            1580,
            1641,
            1581,
            1581,
            1641,
            1642,
            1581,
            1642,
            1582,
            1582,
            1642,
            1643,
            1582,
            1643,
            1583,
            1583,
            1643,
            1644,
            1583,
            1644,
            1584,
            1584,
            1644,
            1645,
            1584,
            1645,
            1585,
            1585,
            1645,
            1646,
            1586,
            1647,
            1587,
            1587,
            1647,
            1648,
            1587,
            1648,
            1588,
            1588,
            1648,
            1649,
            1588,
            1649,
            1589,
            1589,
            1649,
            1650,
            1589,
            1650,
            1590,
            1590,
            1650,
            1651,
            1590,
            1651,
            1591,
            1591,
            1651,
            1652,
            1591,
            1652,
            1592,
            1592,
            1652,
            1653,
            1592,
            1653,
            1593,
            1593,
            1653,
            1654,
            1593,
            1654,
            1594,
            1594,
            1654,
            1655,
            1594,
            1655,
            1595,
            1595,
            1655,
            1656,
            1595,
            1656,
            1596,
            1596,
            1656,
            1657,
            1596,
            1657,
            1597,
            1597,
            1657,
            1658,
            1597,
            1658,
            1598,
            1598,
            1658,
            1659,
            1598,
            1659,
            1599,
            1599,
            1659,
            1660,
            1599,
            1660,
            1600,
            1600,
            1660,
            1661,
            1600,
            1661,
            1601,
            1601,
            1661,
            1662,
            1601,
            1662,
            1602,
            1602,
            1662,
            1663,
            1602,
            1663,
            1603,
            1603,
            1663,
            1664,
            1603,
            1664,
            1604,
            1604,
            1664,
            1665,
            1604,
            1665,
            1605,
            1605,
            1665,
            1666,
            1605,
            1666,
            1606,
            1606,
            1666,
            1667,
            1606,
            1667,
            1607,
            1607,
            1667,
            1668,
            1607,
            1668,
            1608,
            1608,
            1668,
            1669,
            1608,
            1669,
            1609,
            1609,
            1669,
            1670,
            1609,
            1670,
            1610,
            1610,
            1670,
            1671,
            1610,
            1671,
            1611,
            1611,
            1671,
            1672,
            1611,
            1672,
            1612,
            1612,
            1672,
            1673,
            1612,
            1673,
            1613,
            1613,
            1673,
            1674,
            1613,
            1674,
            1614,
            1614,
            1674,
            1675,
            1614,
            1675,
            1615,
            1615,
            1675,
            1676,
            1615,
            1676,
            1616,
            1616,
            1676,
            1677,
            1616,
            1677,
            1617,
            1617,
            1677,
            1678,
            1617,
            1678,
            1618,
            1618,
            1678,
            1679,
            1618,
            1679,
            1619,
            1619,
            1679,
            1680,
            1619,
            1680,
            1620,
            1620,
            1680,
            1681,
            1620,
            1681,
            1621,
            1621,
            1681,
            1682,
            1621,
            1682,
            1622,
            1622,
            1682,
            1683,
            1622,
            1683,
            1623,
            1623,
            1683,
            1684,
            1623,
            1684,
            1624,
            1624,
            1684,
            1685,
            1624,
            1685,
            1625,
            1625,
            1685,
            1686,
            1625,
            1686,
            1626,
            1626,
            1686,
            1687,
            1626,
            1687,
            1627,
            1627,
            1687,
            1688,
            1627,
            1688,
            1628,
            1628,
            1688,
            1689,
            1628,
            1689,
            1629,
            1629,
            1689,
            1690,
            1629,
            1690,
            1630,
            1630,
            1690,
            1691,
            1630,
            1691,
            1631,
            1631,
            1691,
            1692,
            1631,
            1692,
            1632,
            1632,
            1692,
            1693,
            1632,
            1693,
            1633,
            1633,
            1693,
            1694,
            1633,
            1694,
            1634,
            1634,
            1694,
            1695,
            1634,
            1695,
            1635,
            1635,
            1695,
            1696,
            1635,
            1696,
            1636,
            1636,
            1696,
            1697,
            1636,
            1697,
            1637,
            1637,
            1697,
            1698,
            1637,
            1698,
            1638,
            1638,
            1698,
            1699,
            1638,
            1699,
            1639,
            1639,
            1699,
            1700,
            1639,
            1700,
            1640,
            1640,
            1700,
            1701,
            1640,
            1701,
            1641,
            1641,
            1701,
            1702,
            1641,
            1702,
            1642,
            1642,
            1702,
            1703,
            1642,
            1703,
            1643,
            1643,
            1703,
            1704,
            1643,
            1704,
            1644,
            1644,
            1704,
            1705,
            1644,
            1705,
            1645,
            1645,
            1705,
            1706,
            1645,
            1706,
            1646,
            1646,
            1706,
            1707,
            1647,
            1708,
            1648,
            1648,
            1708,
            1709,
            1648,
            1709,
            1649,
            1649,
            1709,
            1710,
            1649,
            1710,
            1650,
            1650,
            1710,
            1711,
            1650,
            1711,
            1651,
            1651,
            1711,
            1712,
            1651,
            1712,
            1652,
            1652,
            1712,
            1713,
            1652,
            1713,
            1653,
            1653,
            1713,
            1714,
            1653,
            1714,
            1654,
            1654,
            1714,
            1715,
            1654,
            1715,
            1655,
            1655,
            1715,
            1716,
            1655,
            1716,
            1656,
            1656,
            1716,
            1717,
            1656,
            1717,
            1657,
            1657,
            1717,
            1718,
            1657,
            1718,
            1658,
            1658,
            1718,
            1719,
            1658,
            1719,
            1659,
            1659,
            1719,
            1720,
            1659,
            1720,
            1660,
            1660,
            1720,
            1721,
            1660,
            1721,
            1661,
            1661,
            1721,
            1722,
            1661,
            1722,
            1662,
            1662,
            1722,
            1723,
            1662,
            1723,
            1663,
            1663,
            1723,
            1724,
            1663,
            1724,
            1664,
            1664,
            1724,
            1725,
            1664,
            1725,
            1665,
            1665,
            1725,
            1726,
            1665,
            1726,
            1666,
            1666,
            1726,
            1727,
            1666,
            1727,
            1667,
            1667,
            1727,
            1728,
            1667,
            1728,
            1668,
            1668,
            1728,
            1729,
            1668,
            1729,
            1669,
            1669,
            1729,
            1730,
            1669,
            1730,
            1670,
            1670,
            1730,
            1731,
            1670,
            1731,
            1671,
            1671,
            1731,
            1732,
            1671,
            1732,
            1672,
            1672,
            1732,
            1733,
            1672,
            1733,
            1673,
            1673,
            1733,
            1734,
            1673,
            1734,
            1674,
            1674,
            1734,
            1735,
            1674,
            1735,
            1675,
            1675,
            1735,
            1736,
            1675,
            1736,
            1676,
            1676,
            1736,
            1737,
            1676,
            1737,
            1677,
            1677,
            1737,
            1738,
            1677,
            1738,
            1678,
            1678,
            1738,
            1739,
            1678,
            1739,
            1679,
            1679,
            1739,
            1740,
            1679,
            1740,
            1680,
            1680,
            1740,
            1741,
            1680,
            1741,
            1681,
            1681,
            1741,
            1742,
            1681,
            1742,
            1682,
            1682,
            1742,
            1743,
            1682,
            1743,
            1683,
            1683,
            1743,
            1744,
            1683,
            1744,
            1684,
            1684,
            1744,
            1745,
            1684,
            1745,
            1685,
            1685,
            1745,
            1746,
            1685,
            1746,
            1686,
            1686,
            1746,
            1747,
            1686,
            1747,
            1687,
            1687,
            1747,
            1748,
            1687,
            1748,
            1688,
            1688,
            1748,
            1749,
            1688,
            1749,
            1689,
            1689,
            1749,
            1750,
            1689,
            1750,
            1690,
            1690,
            1750,
            1751,
            1690,
            1751,
            1691,
            1691,
            1751,
            1752,
            1691,
            1752,
            1692,
            1692,
            1752,
            1753,
            1692,
            1753,
            1693,
            1693,
            1753,
            1754,
            1693,
            1754,
            1694,
            1694,
            1754,
            1755,
            1694,
            1755,
            1695,
            1695,
            1755,
            1756,
            1695,
            1756,
            1696,
            1696,
            1756,
            1757,
            1696,
            1757,
            1697,
            1697,
            1757,
            1758,
            1697,
            1758,
            1698,
            1698,
            1758,
            1759,
            1698,
            1759,
            1699,
            1699,
            1759,
            1760,
            1699,
            1760,
            1700,
            1700,
            1760,
            1761,
            1700,
            1761,
            1701,
            1701,
            1761,
            1762,
            1701,
            1762,
            1702,
            1702,
            1762,
            1763,
            1702,
            1763,
            1703,
            1703,
            1763,
            1764,
            1703,
            1764,
            1704,
            1704,
            1764,
            1765,
            1704,
            1765,
            1705,
            1705,
            1765,
            1766,
            1705,
            1766,
            1706,
            1706,
            1766,
            1767,
            1706,
            1767,
            1707,
            1707,
            1767,
            1768,
            1708,
            1769,
            1709,
            1709,
            1769,
            1770,
            1709,
            1770,
            1710,
            1710,
            1770,
            1771,
            1710,
            1771,
            1711,
            1711,
            1771,
            1772,
            1711,
            1772,
            1712,
            1712,
            1772,
            1773,
            1712,
            1773,
            1713,
            1713,
            1773,
            1774,
            1713,
            1774,
            1714,
            1714,
            1774,
            1775,
            1714,
            1775,
            1715,
            1715,
            1775,
            1776,
            1715,
            1776,
            1716,
            1716,
            1776,
            1777,
            1716,
            1777,
            1717,
            1717,
            1777,
            1778,
            1717,
            1778,
            1718,
            1718,
            1778,
            1779,
            1718,
            1779,
            1719,
            1719,
            1779,
            1780,
            1719,
            1780,
            1720,
            1720,
            1780,
            1781,
            1720,
            1781,
            1721,
            1721,
            1781,
            1782,
            1721,
            1782,
            1722,
            1722,
            1782,
            1783,
            1722,
            1783,
            1723,
            1723,
            1783,
            1784,
            1723,
            1784,
            1724,
            1724,
            1784,
            1785,
            1724,
            1785,
            1725,
            1725,
            1785,
            1786,
            1725,
            1786,
            1726,
            1726,
            1786,
            1787,
            1726,
            1787,
            1727,
            1727,
            1787,
            1788,
            1727,
            1788,
            1728,
            1728,
            1788,
            1789,
            1728,
            1789,
            1729,
            1729,
            1789,
            1790,
            1729,
            1790,
            1730,
            1730,
            1790,
            1791,
            1730,
            1791,
            1731,
            1731,
            1791,
            1792,
            1731,
            1792,
            1732,
            1732,
            1792,
            1793,
            1732,
            1793,
            1733,
            1733,
            1793,
            1794,
            1733,
            1794,
            1734,
            1734,
            1794,
            1795,
            1734,
            1795,
            1735,
            1735,
            1795,
            1796,
            1735,
            1796,
            1736,
            1736,
            1796,
            1797,
            1736,
            1797,
            1737,
            1737,
            1797,
            1798,
            1737,
            1798,
            1738,
            1738,
            1798,
            1799,
            1738,
            1799,
            1739,
            1739,
            1799,
            1800,
            1739,
            1800,
            1740,
            1740,
            1800,
            1801,
            1740,
            1801,
            1741,
            1741,
            1801,
            1802,
            1741,
            1802,
            1742,
            1742,
            1802,
            1803,
            1742,
            1803,
            1743,
            1743,
            1803,
            1804,
            1743,
            1804,
            1744,
            1744,
            1804,
            1805,
            1744,
            1805,
            1745,
            1745,
            1805,
            1806,
            1745,
            1806,
            1746,
            1746,
            1806,
            1807,
            1746,
            1807,
            1747,
            1747,
            1807,
            1808,
            1747,
            1808,
            1748,
            1748,
            1808,
            1809,
            1748,
            1809,
            1749,
            1749,
            1809,
            1810,
            1749,
            1810,
            1750,
            1750,
            1810,
            1811,
            1750,
            1811,
            1751,
            1751,
            1811,
            1812,
            1751,
            1812,
            1752,
            1752,
            1812,
            1813,
            1752,
            1813,
            1753,
            1753,
            1813,
            1814,
            1753,
            1814,
            1754,
            1754,
            1814,
            1815,
            1754,
            1815,
            1755,
            1755,
            1815,
            1816,
            1755,
            1816,
            1756,
            1756,
            1816,
            1817,
            1756,
            1817,
            1757,
            1757,
            1817,
            1818,
            1757,
            1818,
            1758,
            1758,
            1818,
            1819,
            1758,
            1819,
            1759,
            1759,
            1819,
            1820,
            1759,
            1820,
            1760,
            1760,
            1820,
            1821,
            1760,
            1821,
            1761,
            1761,
            1821,
            1822,
            1761,
            1822,
            1762,
            1762,
            1822,
            1823,
            1762,
            1823,
            1763,
            1763,
            1823,
            1824,
            1763,
            1824,
            1764,
            1764,
            1824,
            1825,
            1764,
            1825,
            1765,
            1765,
            1825,
            1826,
            1765,
            1826,
            1766,
            1766,
            1826,
            1827,
            1766,
            1827,
            1767,
            1767,
            1827,
            1828,
            1767,
            1828,
            1768,
            1768,
            1828,
            1829,
            1769,
            1830,
            1770,
            1770,
            1830,
            1831,
            1770,
            1831,
            1771,
            1771,
            1831,
            1832,
            1771,
            1832,
            1772,
            1772,
            1832,
            1833,
            1772,
            1833,
            1773,
            1773,
            1833,
            1834,
            1773,
            1834,
            1774,
            1774,
            1834,
            1835,
            1774,
            1835,
            1775,
            1775,
            1835,
            1836,
            1775,
            1836,
            1776,
            1776,
            1836,
            1837,
            1776,
            1837,
            1777,
            1777,
            1837,
            1838,
            1777,
            1838,
            1778,
            1778,
            1838,
            1839,
            1778,
            1839,
            1779,
            1779,
            1839,
            1840,
            1779,
            1840,
            1780,
            1780,
            1840,
            1841,
            1780,
            1841,
            1781,
            1781,
            1841,
            1842,
            1781,
            1842,
            1782,
            1782,
            1842,
            1843,
            1782,
            1843,
            1783,
            1783,
            1843,
            1844,
            1783,
            1844,
            1784,
            1784,
            1844,
            1845,
            1784,
            1845,
            1785,
            1785,
            1845,
            1846,
            1785,
            1846,
            1786,
            1786,
            1846,
            1847,
            1786,
            1847,
            1787,
            1787,
            1847,
            1848,
            1787,
            1848,
            1788,
            1788,
            1848,
            1849,
            1788,
            1849,
            1789,
            1789,
            1849,
            1850,
            1789,
            1850,
            1790,
            1790,
            1850,
            1851,
            1790,
            1851,
            1791,
            1791,
            1851,
            1852,
            1791,
            1852,
            1792,
            1792,
            1852,
            1853,
            1792,
            1853,
            1793,
            1793,
            1853,
            1854,
            1793,
            1854,
            1794,
            1794,
            1854,
            1855,
            1794,
            1855,
            1795,
            1795,
            1855,
            1856,
            1795,
            1856,
            1796,
            1796,
            1856,
            1857,
            1796,
            1857,
            1797,
            1797,
            1857,
            1858,
            1797,
            1858,
            1798,
            1798,
            1858,
            1859,
            1798,
            1859,
            1799,
            1799,
            1859,
            1860,
            1799,
            1860,
            1800,
            1800,
            1860,
            1861,
            1800,
            1861,
            1801,
            1801,
            1861,
            1862,
            1801,
            1862,
            1802,
            1802,
            1862,
            1863,
            1802,
            1863,
            1803,
            1803,
            1863,
            1864,
            1803,
            1864,
            1804,
            1804,
            1864,
            1865,
            1804,
            1865,
            1805,
            1805,
            1865,
            1866,
            1805,
            1866,
            1806,
            1806,
            1866,
            1867,
            1806,
            1867,
            1807,
            1807,
            1867,
            1868,
            1807,
            1868,
            1808,
            1808,
            1868,
            1869,
            1808,
            1869,
            1809,
            1809,
            1869,
            1870,
            1809,
            1870,
            1810,
            1810,
            1870,
            1871,
            1810,
            1871,
            1811,
            1811,
            1871,
            1872,
            1811,
            1872,
            1812,
            1812,
            1872,
            1873,
            1812,
            1873,
            1813,
            1813,
            1873,
            1874,
            1813,
            1874,
            1814,
            1814,
            1874,
            1875,
            1814,
            1875,
            1815,
            1815,
            1875,
            1876,
            1815,
            1876,
            1816,
            1816,
            1876,
            1877,
            1816,
            1877,
            1817,
            1817,
            1877,
            1878,
            1817,
            1878,
            1818,
            1818,
            1878,
            1879,
            1818,
            1879,
            1819,
            1819,
            1879,
            1880,
            1819,
            1880,
            1820,
            1820,
            1880,
            1881,
            1820,
            1881,
            1821,
            1821,
            1881,
            1882,
            1821,
            1882,
            1822,
            1822,
            1882,
            1883,
            1822,
            1883,
            1823,
            1823,
            1883,
            1884,
            1823,
            1884,
            1824,
            1824,
            1884,
            1885,
            1824,
            1885,
            1825,
            1825,
            1885,
            1886,
            1825,
            1886,
            1826,
            1826,
            1886,
            1887,
            1826,
            1887,
            1827,
            1827,
            1887,
            1888,
            1827,
            1888,
            1828,
            1828,
            1888,
            1889,
            1828,
            1889,
            1829,
            1829,
            1889,
            1890
          ],
          "level": 1.987846167555852,
          "requestedFilling": 1.0200000000000002,
          "requestedVolumeRadius": 0.3402196416191814,
          "displayedVolumeRadius": 0.3402196416191814,
          "overfillOpen": true,
          "relativeVolumeResidual": 0,
          "angularMesh": [
            30,
            60
          ]
        },
        "stream": {
          "states": [
            [
              0,
              -0.15952679878943515,
              0,
              0.01,
              0
            ],
            [
              0.005,
              -0.1594767750932978,
              -2.500731615169189e-07,
              0.010010012828703256,
              -0.00010004451275581977
            ],
            [
              0.01,
              -0.15942669331451137,
              -1.000609932473469e-06,
              0.010023233679600518,
              -0.00020018790922076896
            ],
            [
              0.015,
              -0.15937653740266436,
              -2.2521417344051168e-06,
              0.010039666873141543,
              -0.00030044499516990473
            ],
            [
              0.02,
              -0.15932629128273815,
              -4.005274094291703e-06,
              0.010059317931989484,
              -0.0004008306085827918
            ],
            [
              0.025,
              -0.1592759388490917,
              -6.260686829244729e-06,
              0.010082193582777343,
              -0.000501359629111818
            ],
            [
              0.03,
              -0.1592254639594365,
              -9.019134278574494e-06,
              0.01010830175827568,
              -0.0006020469875662244
            ],
            [
              0.035,
              -0.15917485042879945,
              -1.2281445583321767e-05,
              0.010137651599972066,
              -0.0007029076754142994
            ],
            [
              0.04,
              -0.15912408202347209,
              -1.604852501335095e-05,
              0.010170253461062857,
              -0.0008039567543061926
            ],
            [
              0.045,
              -0.1590731424549438,
              -2.032135234211399e-05,
              0.010206118909858107,
              -0.0009052093656198102
            ],
            [
              0.05,
              -0.1590220153738167,
              -2.510098326920663e-05,
              0.010245260733600495,
              -0.001006680740032262
            ],
            [
              0.055,
              -0.15897068436370057,
              -3.038854989085091e-05,
              0.010287692942699357,
              -0.0011083862071193393
            ],
            [
              0.06,
              -0.15891913293508572,
              -3.618526121845033e-05,
              0.010333430775381031,
              -0.0012103412049855088
            ],
            [
              0.065,
              -0.15886734451919124,
              -4.2492403745376486e-05,
              0.010382490702756899,
              -0.0013125612899269248
            ],
            [
              0.07,
              -0.15881530246178716,
              -4.9311342062158495e-05,
              0.01043489043431059,
              -0.0014150621461299661
            ],
            [
              0.075,
              -0.15876299001698788,
              -5.664351952025925e-05,
              0.010490648923806111,
              -0.0015178595954078238
            ],
            [
              0.08,
              -0.15871039034101525,
              -6.449045894463494e-05,
              0.01054978637561858,
              -0.0016209696069776711
            ],
            [
              0.085,
              -0.1586574864859287,
              -7.285376339528719e-05,
              0.010612324251489672,
              -0.0017244083072809663
            ],
            [
              0.09,
              -0.15860426139332065,
              -8.173511697802997e-05,
              0.010678285277709802,
              -0.0018281919898494575
            ],
            [
              0.095,
              -0.15855069788797488,
              -9.113628570470606e-05,
              0.010747693452729346,
              -0.0019323371252194669
            ],
            [
              0.1,
              -0.158496778671486,
              -0.00010105911840310114,
              0.010820574055201352,
              -0.002036860370897054
            ],
            [
              0.105,
              -0.15844248631583716,
              -0.00011150554767681618,
              0.010896953652458224,
              -0.0021417785813766747
            ],
            [
              0.11,
              -0.1583878032569347,
              -0.00012247759091537256,
              0.010976860109425243,
              -0.0022471088182159696
            ],
            [
              0.115,
              -0.1583327117880969,
              -0.00013397735135483682,
              0.011060322597973692,
              -0.002352868360169344
            ],
            [
              0.12,
              -0.15827719405349516,
              -0.00014600701918926598,
              0.011147371606716656,
              -0.0024590747133830075
            ],
            [
              0.125,
              -0.1582212320415446,
              -0.00015856887273328719,
              0.011238038951250728,
              -0.002565745621654177
            ],
            [
              0.13,
              -0.1581648075782427,
              -0.00017166527963613967,
              0.011332357784846933,
              -0.0026728990767571673
            ],
            [
              0.135,
              -0.15810790232045333,
              -0.00018529869814751978,
              0.01143036260959437,
              -0.0027805533288391016
            ],
            [
              0.14,
              -0.15805049774913374,
              -0.0001994716784355846,
              0.01153208928800027,
              -0.002888726896888034
            ],
            [
              0.145,
              -0.15799257516250273,
              -0.00021418686395748303,
              0.011637575055050272,
              -0.0029974385792762566
            ],
            [
              0.15,
              -0.15793411566914675,
              -0.00022944699288279715,
              0.011746858530732906,
              -0.003106707464381628
            ],
            [
              0.155,
              -0.157875100181063,
              -0.00024525489957029134,
              0.011859979733032449,
              -0.003216552941289773
            ],
            [
              0.16,
              -0.15781550940663572,
              -0.00026161351609838034,
              0.011976980091394423,
              -0.0033269947105800217
            ],
            [
              0.165,
              -0.1577553238435444,
              -0.0002785258738497427,
              0.012097902460668285,
              -0.0034380527951980108
            ],
            [
              0.17,
              -0.15769452377160076,
              -0.0002959951051505195,
              0.012222791135531845,
              -0.0035497475514178712
            ],
            [
              0.17500000000000002,
              -0.15763308924551261,
              -0.0003140244449645551,
              0.012351691865402348,
              -0.0036620996798969884
            ],
            [
              0.18,
              -0.1575710000875719,
              -0.0003326172326431483,
              0.012484651869839087,
              -0.0037751302368263183
            ],
            [
              0.185,
              -0.1575082358802643,
              -0.00035177691373080086,
              0.012621719854442758,
              -0.0038888606451793137
            ],
            [
              0.19,
              -0.1574447759587984,
              -0.00037150704182746367,
              0.012762946027256881,
              -0.004003312706062515
            ],
            [
              0.195,
              -0.15738059940355134,
              -0.000391811280507796,
              0.012908382115676752,
              -0.004118508610170924
            ],
            [
              0.2,
              -0.1573156850324286,
              -0.00041269340529797075,
              0.013058081383871616,
              -0.004234470949351293
            ],
            [
              0.20500000000000002,
              -0.15725001139313582,
              -0.0004341573057105719,
              0.013212098650725923,
              -0.004351222728276504
            ],
            [
              0.21,
              -0.15718355675535883,
              -0.00045620698733814865,
              0.013370490308305687,
              -0.004468787376234272
            ],
            [
              0.215,
              -0.15711629910285088,
              -0.00047884657400600565,
              0.013533314340856176,
              -0.004587188759033397
            ],
            [
              0.22,
              -0.15704821612542294,
              -0.0005020803099848253,
              0.013700630344337288,
              -0.0047064511910308885
            ],
            [
              0.225,
              -0.15697928521083504,
              -0.0005259125622637343,
              0.013872499546503284,
              -0.004826599447283283
            ],
            [
              0.23,
              -0.15690948343658626,
              -0.0005503478228844449,
              0.014048984827533568,
              -0.004947658775825523
            ],
            [
              0.23500000000000001,
              -0.15683878756159964,
              -0.0005753907113371164,
              0.014230150741221534,
              -0.005069654910080834
            ],
            [
              0.24,
              -0.1567671740178,
              -0.0006010459770186005,
              0.014416063536728618,
              -0.005192614081405045
            ],
            [
              0.245,
              -0.15669461890158154,
              -0.0006273185017537513,
              0.014606791180910952,
              -0.005316563031768862
            ],
            [
              0.25,
              -0.15662109796516227,
              -0.0006542133023805003,
              0.014802403381226136,
              -0.005441529026581651
            ],
            [
              0.255,
              -0.1565465866078227,
              -0.0006817355333994099,
              0.01500297160922792,
              -0.005567539867660313
            ],
            [
              0.26,
              -0.15647105986702523,
              -0.0007098904896884431,
              0.01520856912465676,
              -0.005694623906346904
            ],
            [
              0.265,
              -0.1563944924094117,
              -0.0007386836092836998,
              0.015419271000134432,
              -0.005822810056778675
            ],
            [
              0.27,
              -0.1563168585216762,
              -0.0007681204762268921,
              0.015635154146471108,
              -0.005952127809314286
            ],
            [
              0.275,
              -0.1562381321013093,
              -0.0007982068234803495,
              0.01585629733859347,
              -0.0060826072441199554
            ],
            [
              0.28,
              -0.15615828664721143,
              -0.0008289485359103629,
              0.016082781242102755,
              -0.0062142790449194
            ],
            [
              0.28500000000000003,
              -0.15607729525017186,
              -0.0008603516533396948,
              0.01631468844047173,
              -0.006347174512911437
            ],
            [
              0.29,
              -0.1559951305832099,
              -0.0008924223736701061,
              0.016552103462889885,
              -0.006481325580859175
            ],
            [
              0.295,
              -0.15591176489177544,
              -0.0009251670560757648,
              0.01679511281276644,
              -0.006616764827354798
            ],
            [
              0.3,
              -0.15582716998380505,
              -0.000958592224268427,
              0.017043804996900766,
              -0.006753525491263957
            ],
            [
              0.305,
              -0.1557413172196309,
              -0.0009927045698352977,
              0.017298270555330408,
              -0.006891641486353869
            ],
            [
              0.31,
              -0.1556541775017382,
              -0.0010275109556504977,
              0.017558602091866753,
              -0.007031147416109261
            ],
            [
              0.315,
              -0.15556572126436907,
              -0.0010630184193610927,
              0.017824894305329006,
              -0.007172078588740352
            ],
            [
              0.32,
              -0.15547591846296738,
              -0.001099234176948646,
              0.01809724402148707,
              -0.00731447103238711
            ],
            [
              0.325,
              -0.1553847385634629,
              -0.0011361656263672967,
              0.018375750225724477,
              -0.0074583615105241075
            ],
            [
              0.33,
              -0.15529215053139006,
              -0.0011738203512593709,
              0.01866051409643253,
              -0.007603787537570303
            ],
            [
              0.335,
              -0.15519812282083786,
              -0.0012122061247495616,
              0.018951639039147268,
              -0.007750787394708164
            ],
            [
              0.34,
              -0.15510262336322722,
              -0.0012513309133187404,
              0.01924923072144105,
              -0.007899400145916606
            ],
            [
              0.34500000000000003,
              -0.155005619555912,
              -0.001291202880758476,
              0.019553397108580863,
              -0.00804966565422225
            ],
            [
              0.35000000000000003,
              -0.1549070782505997,
              -0.001331830392207362,
              0.019864248499965802,
              -0.008201624598173574
            ],
            [
              0.355,
              -0.15480696574158817,
              -0.0013732220182702875,
              0.02018189756635633,
              -0.008355318488542575
            ],
            [
              0.36,
              -0.1547052477538139,
              -0.00141538653922179,
              0.020506459387908405,
              -0.008510789685258641
            ],
            [
              0.365,
              -0.15460188943070835,
              -0.0014583329492946695,
              0.020838051493025745,
              -0.008668081414579342
            ],
            [
              0.37,
              -0.15449685532185792,
              -0.0015020704610550592,
              0.021176793898043868,
              -0.008827237786502951
            ],
            [
              0.375,
              -0.15439010937046319,
              -0.001546608509865174,
              0.02152280914775989,
              -0.008988303812427495
            ],
            [
              0.38,
              -0.15428161490059358,
              -0.001591956758434978,
              0.021876222356822354,
              -0.009151325423061284
            ],
            [
              0.385,
              -0.15417133460423268,
              -0.001638125101464047,
              0.022237161251995746,
              -0.009316349486589817
            ],
            [
              0.39,
              -0.15405923052811035,
              -0.0016851236703749135,
              0.022605756215314715,
              -0.00948342382710407
            ],
            [
              0.395,
              -0.15394526406031653,
              -0.0017329628381392208,
              0.022982140328143334,
              -0.009652597243295234
            ],
            [
              0.4,
              -0.15382939591669237,
              -0.0017816532241980237,
              0.023366449416155146,
              -0.009823919527420961
            ],
            [
              0.405,
              -0.15371158612699454,
              -0.0018312056994776124,
              0.02375882209525015,
              -0.009997441484548304
            ],
            [
              0.41000000000000003,
              -0.15359179402082707,
              -0.001881631391502254,
              0.02415939981842521,
              -0.010173214952078492
            ],
            [
              0.41500000000000004,
              -0.153469978213337,
              -0.0019329416896052705,
              0.024568326923614856,
              -0.010351292819558816
            ],
            [
              0.42,
              -0.1533460965906676,
              -0.001985148250239909,
              0.024985750682519774,
              -0.010531729048786891
            ],
            [
              0.425,
              -0.1532201062951658,
              -0.00203826300239147,
              0.025411821350440834,
              -0.01071457869421259
            ],
            [
              0.43,
              -0.15309196371033715,
              -0.002092298153092207,
              0.025846692217136865,
              -0.010899897923643069
            ],
            [
              0.435,
              -0.15296162444554443,
              -0.002147266193040515,
              0.026290519658724844,
              -0.011087744039256192
            ],
            [
              0.44,
              -0.1528290433204438,
              -0.0022031799023259713,
              0.026743463190641716,
              -0.011278175498927883
            ],
            [
              0.445,
              -0.15269417434915367,
              -0.002260052356261807,
              0.027205685521687468,
              -0.011471251937878792
            ],
            [
              0.45,
              -0.15255697072415025,
              -0.002317896931326425,
              0.027677352609169682,
              -0.011667034190645804
            ],
            [
              0.455,
              -0.15241738479988504,
              -0.0023767273112155953,
              0.028158633715170214,
              -0.011865584313383913
            ],
            [
              0.46,
              -0.15227536807611775,
              -0.002436557493006999,
              0.028649701463955256,
              -0.012066965606503971
            ],
            [
              0.465,
              -0.15213087118095958,
              -0.002497401793438814,
              0.029150731900550647,
              -0.012271242637651909
            ],
            [
              0.47000000000000003,
              -0.1519838438536205,
              -0.0025592748553040575,
              0.029661904550504718,
              -0.012478481265034957
            ],
            [
              0.47500000000000003,
              -0.15183423492685452,
              -0.002622191653962443,
              0.03018340248086176,
              -0.012688748661100487
            ],
            [
              0.48,
              -0.1516819923090975,
              -0.0026861675039715235,
              0.030715412362369736,
              -0.012902113336573035
            ],
            [
              0.485,
              -0.15152706296629018,
              -0.002751218065838926,
              0.031258124532946435,
              -0.013118645164855102
            ],
            [
              0.49,
              -0.1513693929033813,
              -0.0028173593528975113,
              0.031811733062429105,
              -0.013338415406797291
            ],
            [
              0.495,
              -0.15120892714550327,
              -0.0028846077383053205,
              0.032376435818633205,
              -0.013561496735843375
            ],
            [
              0.5,
              -0.15104560971881423,
              -0.002952979962172195,
              0.032952434534746604,
              -0.013787963263555804
            ],
            [
              0.505,
              -0.15087938363100006,
              -0.0030224931388149845,
              0.03353993487808644,
              -0.014017890565527201
            ],
            [
              0.51,
              -0.15071019085142895,
              -0.0030931647641432945,
              0.03413914652024655,
              -0.014251355707683298
            ],
            [
              0.515,
              -0.15053797229095156,
              -0.003165012723177734,
              0.03475028320866423,
              -0.01448843727298278
            ],
            [
              0.52,
              -0.15036266778133991,
              -0.003238055297702663,
              0.03537356283963587,
              -0.014729215388519405
            ],
            [
              0.525,
              -0.15018421605435764,
              -0.0033123111740554776,
              0.036009207532812094,
              -0.014973771753031731
            ],
            [
              0.53,
              -0.15000255472045357,
              -0.003387799451054462,
              0.03665744370720373,
              -0.01522218966482569
            ],
            [
              0.535,
              -0.14981762024707185,
              -0.003464539648067304,
              0.037318502158731025,
              -0.015474554050115212
            ],
            [
              0.54,
              -0.14962934793657034,
              -0.003542551713222367,
              0.03799261813934957,
              -0.015730951491785935
            ],
            [
              0.545,
              -0.14943767190373916,
              -0.003621856031764848,
              0.03868003143778738,
              -0.015991470258586993
            ],
            [
              0.55,
              -0.14924252505291152,
              -0.0037024734345599756,
              0.03938098646192858,
              -0.016256200334755732
            ],
            [
              0.555,
              -0.14904383905465854,
              -0.0037844252067454247,
              0.04009573232288069,
              -0.01652523345008005
            ],
            [
              0.56,
              -0.1488415443220594,
              -0.003867733096535144,
              0.04082452292076308,
              -0.016798663110402914
            ],
            [
              0.5650000000000001,
              -0.1486355699865381,
              -0.003952419324176822,
              0.041567617032256136,
              -0.01707658462857351
            ],
            [
              0.5700000000000001,
              -0.14842584387325808,
              -0.004038506591065235,
              0.042325278399951295,
              -0.017359095155849165
            ],
            [
              0.5750000000000001,
              -0.14821229247606552,
              -0.0041260180890137395,
              0.043097775823544175,
              -0.017646293713752065
            ],
            [
              0.58,
              -0.14799484093197177,
              -0.004214977509686193,
              0.04388538325291379,
              -0.017938281226384613
            ],
            [
              0.585,
              -0.1477734129951658,
              -0.004305409054191606,
              0.04468837988313296,
              -0.018235160553206887
            ],
            [
              0.59,
              -0.1475479310105466,
              -0.004397337442843839,
              0.04550705025145615,
              -0.018537036522279518
            ],
            [
              0.595,
              -0.1473183158867656,
              -0.0044907879250886944,
              0.04634168433633291,
              -0.018844015963975003
            ],
            [
              0.6,
              -0.14708448706876887,
              -0.00458578628960073,
              0.04719257765849678,
              -0.019156207745160036
            ],
            [
              0.605,
              -0.14684636250982838,
              -0.004682358874552174,
              0.04806003138418121,
              -0.019473722803851276
            ],
            [
              0.61,
              -0.1466038586430522,
              -0.004780532578056301,
              0.04894435243051613,
              -0.019796674184346445
            ],
            [
              0.615,
              -0.1463568903523617,
              -0.004880334868787664,
              0.04984585357316078,
              -0.02012517707283233
            ],
            [
              0.62,
              -0.14610537094292517,
              -0.0049817937967815504,
              0.050764853556230435,
              -0.02045934883347083
            ],
            [
              0.625,
              -0.14584921211103566,
              -0.005084938004415071,
              0.05170167720457713,
              -0.020799309044963618
            ],
            [
              0.63,
              -0.14558832391342172,
              -0.0051897967375722715,
              0.05265665553848635,
              -0.021145179537595624
            ],
            [
              0.635,
              -0.14532261473597824,
              -0.005296399856995645,
              0.05363012589085473,
              -0.02149708443075692
            ],
            [
              0.64,
              -0.14505199126190532,
              -0.005404777849826472,
              0.05462243202691589,
              -0.02185515017094194
            ],
            [
              0.645,
              -0.1447763584392417,
              -0.005514961841336316,
              0.05563392426658451,
              -0.02221950557022449
            ],
            [
              0.65,
              -0.14449561944777983,
              -0.005626983606852108,
              0.05666495960949143,
              -0.022590281845206152
            ],
            [
              0.655,
              -0.14420967566534915,
              -0.0057408755838771275,
              0.05771590186278583,
              -0.022967612656435057
            ],
            [
              0.66,
              -0.14391842663345294,
              -0.005856670884410261,
              0.05878712177178346,
              -0.023351634148291164
            ],
            [
              0.665,
              -0.14362177002224474,
              -0.005974403307465835,
              0.059878997153543355,
              -0.023742484989333405
            ],
            [
              0.67,
              -0.14331960159482973,
              -0.006094107351796327,
              0.06099191303345891,
              -0.024140306413103035
            ],
            [
              0.675,
              -0.1430118151708747,
              -0.006215818228820235,
              0.06212626178495305,
              -0.02454524225937665
            ],
            [
              0.68,
              -0.1426983025895123,
              -0.006339571875757295,
              0.06328244327237097,
              -0.024957439015861272
            ],
            [
              0.685,
              -0.1423789536715223,
              -0.006465404968973288,
              0.06446086499716802,
              -0.025377045860322738
            ],
            [
              0.6900000000000001,
              -0.14205365618077356,
              -0.00659335493753653,
              0.06566194224749496,
              -0.025804214703137523
            ],
            [
              0.6950000000000001,
              -0.14172229578490916,
              -0.006723459976988173,
              0.06688609825128677,
              -0.02623910023025675
            ],
            [
              0.7000000000000001,
              -0.14138475601525738,
              -0.0068557590633283195,
              0.06813376433296696,
              -0.02668185994656985
            ],
            [
              0.705,
              -0.1410409182259497,
              -0.00699029196721993,
              0.06940538007388324,
              -0.027132654219653867
            ],
            [
              0.71,
              -0.14069066155222718,
              -0.007127099268412411,
              0.07070139347659694,
              -0.027591646323892757
            ],
            [
              0.715,
              -0.14033386286791524,
              -0.007266222370386685,
              0.0720222611331536,
              -0.028059002484949476
            ],
            [
              0.72,
              -0.13997039674204712,
              -0.007407703515223466,
              0.07336844839746795,
              -0.028534891924571818
            ],
            [
              0.725,
              -0.13960013539461472,
              -0.0075515857986963525,
              0.07474042956196371,
              -0.029019486905711055
            ],
            [
              0.73,
              -0.13922294865142534,
              -0.007697913185591253,
              0.07613868803861423,
              -0.029512962777930366
            ],
            [
              0.735,
              -0.13883870389804184,
              -0.007846730525253521,
              0.07756371654453796,
              -0.03001549802307797
            ],
            [
              0.74,
              -0.13844726603278315,
              -0.007998083567364067,
              0.07901601729230967,
              -0.03052727430119743
            ],
            [
              0.745,
              -0.13804849741876102,
              -0.008152018977945544,
              0.08049610218515638,
              -0.03104847649664525
            ],
            [
              0.75,
              -0.1376422578349284,
              -0.008308584355599585,
              0.08200449301721531,
              -0.03157929276438314
            ],
            [
              0.755,
              -0.1372284044261132,
              -0.008467828247975845,
              0.08354172167904002,
              -0.03211991457640957
            ],
            [
              0.76,
              -0.13680679165201118,
              -0.008629800168473499,
              0.08510833036855006,
              -0.032670536768292194
            ],
            [
              0.765,
              -0.13637727123511012,
              -0.008794550613175535,
              0.08670487180762941,
              -0.03323135758575952
            ],
            [
              0.77,
              -0.1359396921075162,
              -0.00896213107801609,
              0.08833190946458952,
              -0.03380257873130682
            ],
            [
              0.775,
              -0.1354939003566531,
              -0.009132594076180727,
              0.08999001778272359,
              -0.034384405410767524
            ],
            [
              0.78,
              -0.1350397391698027,
              -0.009305993155739397,
              0.09167978241519036,
              -0.03497704637979759
            ],
            [
              0.785,
              -0.13457704877745463,
              -0.009482382917511465,
              0.09340180046647838,
              -0.03558071399021599
            ],
            [
              0.79,
              -0.134105666395432,
              -0.00966181903316196,
              0.0951566807407143,
              -0.03619562423614025
            ],
            [
              0.795,
              -0.13362542616575754,
              -0.009844358263527862,
              0.09694504399709296,
              -0.03682199679985093
            ],
            [
              0.8,
              -0.1331361590962243,
              -0.010030058477172891,
              0.09876752321272154,
              -0.0374600550973143
            ],
            [
              0.805,
              -0.13263769299863312,
              -0.010218978669168866,
              0.10062476385318547,
              -0.038110026323286604
            ],
            [
              0.81,
              -0.1321298524256568,
              -0.010411178980101412,
              0.10251742415116033,
              -0.0387721414959179
            ],
            [
              0.8150000000000001,
              -0.13161245860629103,
              -0.010606720715297217,
              0.10444617539341143,
              -0.039446635500767206
            ],
            [
              0.8200000000000001,
              -0.13108532937984813,
              -0.010805666364269715,
              0.1064117022165411,
              -0.04013374713413401
            ],
            [
              0.8250000000000001,
              -0.13054827912844968,
              -0.011008079620379507,
              0.10841470291186314,
              -0.040833719145604415
            ],
            [
              0.8300000000000001,
              -0.13000111870797093,
              -0.01121402540070531,
              0.110455889739805,
              -0.04154679827970245
            ],
            [
              0.835,
              -0.12944365537738856,
              -0.011423569866120708,
              0.11253598925425991,
              -0.04227323531652933
            ],
            [
              0.84,
              -0.12887569272648097,
              -0.011636780441571279,
              0.11465574263733427,
              -0.04301328511126475
            ],
            [
              0.845,
              -0.12829703060182787,
              -0.01185372583654612,
              0.11681590604496099,
              -0.0437672066323952
            ],
            [
              0.85,
              -0.12770746503105335,
              -0.012074476065737035,
              0.11901725096387501,
              -0.04453526299852468
            ],
            [
              0.855,
              -0.12710678814525492,
              -0.012299102469877895,
              0.12126056458047547,
              -0.04531772151361245
            ],
            [
              0.86,
              -0.1264947880995573,
              -0.012527677736755938,
              0.12354665016212801,
              -0.04611485370047172
            ],
            [
              0.865,
              -0.12587124899172727,
              -0.012760275922385825,
              0.12587632745149277,
              -0.04692693533235089
            ],
            [
              0.87,
              -0.125235950778783,
              -0.012996972472336403,
              0.1282504330744963,
              -0.04775424646240646
            ],
            [
              0.875,
              -0.1245886691915282,
              -0.01323784424319917,
              0.13066982096260094,
              -0.04859707145086296
            ],
            [
              0.88,
              -0.12392917564693769,
              -0.013482969524186284,
              0.1331353627900631,
              -0.04945569898964059
            ],
            [
              0.885,
              -0.12325723715831767,
              -0.013732428058844896,
              0.1356479484269116,
              -0.05033042212421583
            ],
            [
              0.89,
              -0.1225726162431603,
              -0.013986301066873342,
              0.1382084864084193,
              -0.05122153827246326
            ],
            [
              0.895,
              -0.12187507082860781,
              -0.014244671266023459,
              0.14081790442188657,
              -0.05212934924020908
            ],
            [
              0.9,
              -0.12116435415443778,
              -0.014507622894071825,
              0.14347714981160364,
              -0.053054161233207456
            ],
            [
              0.905,
              -0.12044021467347615,
              -0.014775241730841314,
              0.14618719010290762,
              -0.053996284865230254
            ],
            [
              0.91,
              -0.11970239594934032,
              -0.015047615120252697,
              0.14894901354630766,
              -0.05495603516193853
            ],
            [
              0.915,
              -0.1189506365514092,
              -0.015324831992384314,
              0.1517636296827058,
              -0.0559337315601804
            ],
            [
              0.92,
              -0.11818466994691221,
              -0.015606982885516011,
              0.15463206993080494,
              -0.05692969790233456
            ],
            [
              0.925,
              -0.11740422439002336,
              -0.015894159968131573,
              0.15755538819785964,
              -0.057944262425290896
            ],
            [
              0.93,
              -0.11660902280784072,
              -0.016186457060851735,
              0.1605346615149949,
              -0.05897775774363091
            ],
            [
              0.935,
              -0.11579878268312516,
              -0.016483969658267643,
              0.16357099069839348,
              -0.06003052082653825
            ],
            [
              0.9400000000000001,
              -0.11497321593366563,
              -0.01678679495064213,
              0.16666550103772956,
              -0.06110289296793621
            ],
            [
              0.9450000000000001,
              -0.11413202878813113,
              -0.017095031845443653,
              0.16981934301331233,
              -0.062195219749312115
            ],
            [
              0.9500000000000001,
              -0.11327492165826186,
              -0.017408780988674835,
              0.17303369304349267,
              -0.06330785099464924
            ],
            [
              0.9550000000000001,
              -0.11240158900724459,
              -0.0177281447859547,
              0.17630975426398102,
              -0.0644411407168444
            ],
            [
              0.96,
              -0.11151171921410756,
              -0.018053227423310263,
              0.1796487573408285,
              -0.06559544705494358
            ],
            [
              0.965,
              -0.11060499443396292,
              -0.018384134887629945,
              0.18305196131893167,
              -0.06677113220147864
            ],
            [
              0.97,
              -0.10968109045391344,
              -0.018720974986727257,
              0.186520654508038,
              -0.06796856231913488
            ],
            [
              0.975,
              -0.1087396765444312,
              -0.019063857368959453,
              0.19005615540835444,
              -0.069188107445922
            ],
            [
              0.98,
              -0.10778041530600463,
              -0.01941289354234151,
              0.19365981367799487,
              -0.07043014138795857
            ],
            [
              0.985,
              -0.10680296251083869,
              -0.019768196893091,
              0.1973330111446443,
              -0.07169504159891324
            ],
            [
              0.99,
              -0.10580696693938112,
              -0.02012988270353475,
              0.20107716286397104,
              -0.0729831890450738
            ],
            [
              0.995,
              -0.10479207021143395,
              -0.020498068169302597,
              0.20489371822748118,
              -0.07429496805493585
            ],
            [
              1,
              -0.10375790661159635,
              -0.020872872415727925,
              0.20878416212268447,
              -0.0756307661521189
            ],
            [
              1.0050000000000001,
              -0.10270410290876959,
              -0.02125441651336844,
              0.21275001614862912,
              -0.07699097387032494
            ],
            [
              1.01,
              -0.10163027816943895,
              -0.021642823492553986,
              0.2167928398900632,
              -0.07837598454895525
            ],
            [
              1.0150000000000001,
              -0.10053604356443128,
              -0.02203821835686101,
              0.2209142322536962,
              -0.07978619410789266
            ],
            [
              1.02,
              -0.09942100216882825,
              -0.022440728095405513,
              0.22511583287026585,
              -0.08122200079983946
            ],
            [
              1.025,
              -0.09828474875469652,
              -0.022850481693837993,
              0.2293993235663644,
              -0.08268380493847305
            ],
            [
              1.03,
              -0.09712686957627573,
              -0.023267610143914833,
              0.23376642991024355,
              -0.08417200860054327
            ],
            [
              1.035,
              -0.09594694214724314,
              -0.023692246451510836,
              0.2382189228361067,
              -0.08568701529988405
            ],
            [
              1.04,
              -0.09474453500965066,
              -0.02412452564292708,
              0.24275862035170367,
              -0.08722922963114821
            ],
            [
              1.045,
              -0.09351920749410496,
              -0.024564584769336862,
              0.24738738933437612,
              -0.08879905688089526
            ],
            [
              1.05,
              -0.09227050947073484,
              -0.02501256290920013,
              0.2521071474210593,
              -0.09039690260346693
            ],
            [
              1.055,
              -0.09099798109046153,
              -0.025468601168463563,
              0.25691986499813085,
              -0.0920231721588726
            ],
            [
              1.06,
              -0.08970115251605712,
              -0.025932842678348868,
              0.26182756729741335,
              -0.09367827020967463
            ],
            [
              1.065,
              -0.08837954364244352,
              -0.02640543259051625,
              0.2668323366050835,
              -0.09536260017360973
            ],
            [
              1.07,
              -0.08703266380564968,
              -0.026886518069373023,
              0.2719363145907278,
              -0.0970765636284049
            ],
            [
              1.075,
              -0.0856600114798072,
              -0.027376248281278836,
              0.27714170476430394,
              -0.09882055966494326
            ],
            [
              1.08,
              -0.08426107396152398,
              -0.027874774380378973,
              0.2824507750693337,
              -0.10059498418460172
            ],
            [
              1.085,
              -0.08283532704093297,
              -0.02838224949077541,
              0.2878658606212642,
              -0.10240022913621859
            ],
            [
              1.09,
              -0.08138223465866629,
              -0.028898828684721555,
              0.29338936660059534,
              -0.10423668168774851
            ],
            [
              1.095,
              -0.07990124854795548,
              -0.02942466895650084,
              0.29902377131108865,
              -0.1061047233272232
            ],
            [
              1.1,
              -0.0783918078610051,
              -0.029959929191621347,
              0.3047716294141488,
              -0.10800472888715343
            ],
            [
              1.105,
              -0.07685333877872919,
              -0.030504770130927752,
              0.3106355753513135,
              -0.10993706548597604
            ],
            [
              1.11,
              -0.07528525410287865,
              -0.031059354329198787,
              0.3166183269677018,
              -0.11190209137956607
            ],
            [
              1.115,
              -0.07368695282952008,
              -0.031623846107761595,
              0.3227226893502671,
              -0.1139001547151879
            ],
            [
              1.12,
              -0.07205781970275571,
              -0.03219841150061481,
              0.32895155889578154,
              -0.11593159217954911
            ],
            [
              1.125,
              -0.07039722474749571,
              -0.032783218193508254,
              0.33530792762465844,
              -0.11799672753183535
            ],
            [
              1.1300000000000001,
              -0.0687045227800108,
              -0.03337843545537974,
              0.3417948877580016,
              -0.12009587001173598
            ],
            [
              1.135,
              -0.06697905289490279,
              -0.03398423406149678,
              0.34841563657667,
              -0.12222931261151038
            ],
            [
              1.1400000000000001,
              -0.06522013792703275,
              -0.034600786207593985,
              0.3551734815826747,
              -0.12439733020008044
            ],
            [
              1.145,
              -0.06342708388684082,
              -0.03522826541423377,
              0.3620718459848921,
              -0.12660017748595592
            ],
            [
              1.1500000000000001,
              -0.06159917936737764,
              -0.035866846420548805,
              0.3691142745329029,
              -0.12883808680448963
            ],
            [
              1.155,
              -0.05973569492124283,
              -0.03651670506644873,
              0.37630443972476363,
              -0.13111126571350484
            ],
            [
              1.16,
              -0.05783588240549202,
              -0.037178018162289585,
              0.38364614841670386,
              -0.13341989437971974
            ],
            [
              1.165,
              -0.05589897429242767,
              -0.037850963344912426,
              0.39114334886514135,
              -0.13576412273659072
            ],
            [
              1.17,
              -0.05392418294403093,
              -0.038535718918855634,
              0.3988001382340418,
              -0.13814406739218843
            ],
            [
              1.175,
              -0.0519106998476191,
              -0.039232463681432905,
              0.4066207706035415,
              -0.14055980826347603
            ],
            [
              1.18,
              -0.049857694810126016,
              -0.03994137673024475,
              0.41460966551893486,
              -0.14301138491085447
            ],
            [
              1.185,
              -0.04776431510819867,
              -0.040662637251553765,
              0.422771417122633,
              -0.14549879254403295
            ],
            [
              1.19,
              -0.045629684591080605,
              -0.041396424287801395,
              0.43111080391556234,
              -0.14802197766714154
            ],
            [
              1.195,
              -0.04345290273301002,
              -0.04214291648237498,
              0.4396327991987352,
              -0.15058083332747593
            ],
            [
              1.2,
              -0.041233043631595086,
              -0.042902291799546036,
              0.44834258225043416,
              -0.15317519392830442
            ],
            [
              1.205,
              -0.038969154948339094,
              -0.04367472721729204,
              0.45724555029966135,
              -0.1558048295617109
            ],
            [
              1.21,
              -0.036660256787170664,
              -0.044460398390481444,
              0.4663473313622707,
              -0.15846943981242934
            ],
            [
              1.215,
              -0.03430534050648628,
              -0.04525947928164266,
              0.4756537980125992,
              -0.16116864697796207
            ],
            [
              1.22,
              -0.03190336745983101,
              -0.04607214175624844,
              0.4851710821705098,
              -0.1639019886438777
            ],
            [
              1.225,
              -0.029453267659924304,
              -0.04689855513912403,
              0.49490559099164805,
              -0.16666890954594626
            ],
            [
              1.23,
              -0.02695393836027725,
              -0.04773888572822537,
              0.5048640239574982,
              -0.1694687526425671
            ],
            [
              1.235,
              -0.024404242548140605,
              -0.04859329626162847,
              0.5150533912716035,
              -0.17230074931163405
            ],
            [
              1.24,
              -0.021803007341964425,
              -0.049461945333115674,
              0.5254810336792342,
              -0.17516400857539954
            ],
            [
              1.245,
              -0.01914902228593373,
              -0.05034498675123291,
              0.5361546438399807,
              -0.17805750524484354
            ],
            [
              1.25,
              -0.01644103753346373,
              -0.051242568836116026,
              0.5470822893963952,
              -0.18098006686130516
            ],
            [
              1.2550000000000001,
              -0.013677761910785171,
              -0.052154833647734565,
              0.558272437897089,
              -0.18393035929741927
            ],
            [
              1.26,
              -0.010857860850916114,
              -0.053081916138467675,
              0.569733983749847,
              -0.18690687086141056
            ],
            [
              1.2650000000000001,
              -0.007979954187391539,
              -0.0540239432220967,
              0.581476277399587,
              -0.1899078947281629
            ],
            [
              1.27,
              -0.005042613796094833,
              -0.05498103275035814,
              0.5935091569476807,
              -0.19293150949676469
            ],
            [
              1.2750000000000001,
              -0.0020443610723927795,
              -0.05595329238713263,
              0.605842982453586,
              -0.19597555764692265
            ],
            [
              1.28,
              0.001016335770496644,
              -0.05694081836913043,
              0.6184886731873278,
              -0.19903762163512442
            ],
            [
              1.285,
              0.00414106459739338,
              -0.057943694140549666,
              0.6314577481325426,
              -0.2021149973349884
            ],
            [
              1.29,
              0.007331472458376061,
              -0.05896198884760279,
              0.644762370075114,
              -0.20520466448401228
            ],
            [
              1.295,
              0.01058926892618228,
              -0.05999575567699806,
              0.6584153936524663,
              -0.20830325374988165
            ],
            [
              1.3,
              0.013916229684622883,
              -0.061045030020389635,
              0.6724304177840736,
              -0.2114070099723959
            ],
            [
              1.305,
              0.017314200391074137,
              -0.06210982744442799,
              0.6868218429555111,
              -0.2145117510704319
            ],
            [
              1.31,
              0.020785100838617603,
              -0.0631901414432995,
              0.7016049338873704,
              -0.21761282202540438
            ],
            [
              1.315,
              0.024330929446218782,
              -0.06428594094747905,
              0.71679588818774,
              -0.22070504326124277
            ],
            [
              1.32,
              0.02795376810851739,
              -0.06539716755875796,
              0.7324119116640083,
              -0.22378265263337144
            ],
            [
              1.325,
              0.031655787440396765,
              -0.06652373247736379,
              0.748471301058048,
              -0.2268392401123735
            ],
            [
              1.33,
              0.035439252455567505,
              -0.0676655130820526,
              0.7649935350701883,
              -0.22986767409805678
            ],
            [
              1.335,
              0.03930652872301217,
              -0.06882234911830108,
              0.7819993746539298,
              -0.2328600181217772
            ],
            [
              1.34,
              0.04326008905037527,
              -0.06999403844300142,
              0.7995109736975998,
              -0.23580743648327293
            ],
            [
              1.345,
              0.047302520749341714,
              -0.07118033226618076,
              0.8175520013640616,
              -0.23870008711572313
            ],
            [
              1.35,
              0.05143653354483927,
              -0.07238092982100208,
              0.8361477775386534,
              -0.2415269996703674
            ],
            [
              1.355,
              0.05566496819765711,
              -0.07359547238238084,
              0.8553254230428784,
              -0.24427593644872667
            ],
            [
              1.36,
              0.05999080591894629,
              -0.07482353654162993,
              0.8751140265118229,
              -0.2469332333724477
            ],
            [
              1.365,
              0.06441717866523884,
              -0.07606462662921412,
              0.8955448301126029,
              -0.24948361765073288
            ],
            [
              1.37,
              0.06894738041430001,
              -0.0773181661594374,
              0.9166514366060358,
              -0.2519099981614284
            ],
            [
              1.375,
              0.07358487953556164,
              -0.07858348814906936,
              0.9384700406321669,
              -0.2541932237765725
            ],
            [
              1.3800000000000001,
              0.07833333238436208,
              -0.07985982413574873,
              0.9610396875415024,
              -0.2563118039015394
            ],
            [
              1.385,
              0.08319659826708156,
              -0.08114629169049385,
              0.9844025636086801,
              -0.25824158431416455
            ],
            [
              1.3900000000000001,
              0.08817875594490968,
              -0.082441880180559,
              1.0086043220663892,
              -0.2599553699290278
            ],
            [
              1.395,
              0.09328412186787931,
              -0.08374543449263154,
              1.033694450099052,
              -0.26142248429840065
            ],
            [
              1.4000000000000001,
              0.09851727035849352,
              -0.08505563636997816,
              1.0597266827543972,
              -0.26260825339919586
            ],
            [
              1.405,
              0.10388305599638631,
              -0.0863709829480747,
              1.0867594706846266,
              -0.26347339841928874
            ],
            [
              1.41,
              0.10938663849271722,
              -0.08768976198823318,
              1.1148565097366443,
              -0.2639733186823028
            ],
            [
              1.415,
              0.11503351038622504,
              -0.08901002320356345,
              1.1440873416921782,
              -0.264057241320036
            ],
            [
              1.42,
              0.12082952794296761,
              -0.09032954494080546,
              1.174528036930939,
              -0.26366720852718784
            ],
            [
              1.425,
              0.1267809456997422,
              -0.09164579531800424,
              1.206261971464727,
              -0.2627368658270539
            ],
            [
              1.43,
              0.13289445515802958,
              -0.0929558867122726,
              1.2393807126664553,
              -0.26119000521781455
            ],
            [
              1.435,
              0.13917722821199155,
              -0.09425652223155481,
              1.2739850300700197,
              -0.2589388046485615
            ],
            [
              1.44,
              0.14563696598130568,
              -0.09554393247276302,
              1.310186049775521,
              -0.25588168902279534
            ],
            [
              1.445,
              0.15228195381765355,
              -0.09681380044359167,
              1.3481065731132835,
              -0.25190071650745166
            ],
            [
              1.45,
              0.15912112336166237,
              -0.09806117197648993,
              1.387882582020582,
              -0.24685836547760337
            ],
            [
              1.455,
              0.16616412264230274,
              -0.09928034824939581,
              1.4296649545619289,
              -0.24059355934206517
            ],
            [
              1.46,
              0.17342139532703127,
              -0.10046475609203702,
              1.4736214132876029,
              -0.23291671508217526
            ],
            [
              1.465,
              0.18090427033626005,
              -0.1016067905198573,
              1.5199387251324117,
              -0.22360353132636399
            ],
            [
              1.47,
              0.18862506310770516,
              -0.10269762228914459,
              1.5688251616486584,
              -0.21238713558827066
            ],
            [
              1.475,
              0.1965971897948319,
              -0.10372696104995609,
              1.6205132079705131,
              -0.19894807688852612
            ],
            [
              1.48,
              0.20483529553860574,
              -0.10468276166407485,
              1.675262470135228,
              -0.1829014631946712
            ],
            [
              1.485,
              0.21335539754014737,
              -0.10555085713079403,
              1.7333626595630973,
              -0.16378027906059497
            ],
            [
              1.49,
              0.22217504276921582,
              -0.10631449585450302,
              1.7951364067061684,
              -0.14101354197277624
            ],
            [
              1.495,
              0.23131347839426794,
              -0.10695375300671944,
              1.8609414308503958,
              -0.11389741303282702
            ],
            [
              1.5,
              0.2407918297523701,
              -0.10744477446550074,
              1.9311711941753864,
              -0.08155658903635903
            ],
            [
              1.5050000000000001,
              0.2506332747134179,
              -0.10775879575093565,
              2.0062524582297225,
              -0.04289214985868696
            ],
            [
              1.51,
              0.26086319251040646,
              -0.1078608552841392,
              2.086636887191061,
              0.0034896573226533834
            ],
            [
              1.5150000000000001,
              0.2715092456280072,
              -0.10770808789773878,
              2.1727815314788756,
              0.05937569406481249
            ],
            [
              1.52,
              0.28260131797266613,
              -0.10724743611356731,
              2.2651087775723657,
              0.12708284783424853
            ],
            [
              1.5250000000000001,
              0.29417116773972074,
              -0.10641254692597187,
              2.363928428920822,
              0.20965017483479592
            ],
            [
              1.53,
              0.30625153325622384,
              -0.10511952336662672,
              2.4692896034557514,
              0.31110925208866685
            ],
            [
              1.5350000000000001,
              0.31887420461822163,
              -0.10326106869951535,
              2.5807014873844545,
              0.4368620089300003
            ],
            [
              1.54,
              0.3320661464904058,
              -0.10069841018896894,
              2.6966070158379525,
              0.5941949180236734
            ],
            [
              1.545,
              0.3458419446734961,
              -0.09725029743900829,
              2.8133896136187735,
              0.7929291156791228
            ],
            [
              1.55,
              0.3601893269758638,
              -0.09267862180315145,
              2.9235078588202437,
              1.0460798176699073
            ],
            [
              1.555,
              0.375041824330395,
              -0.08667168243258695,
              3.0120802322009026,
              1.3699846742566228
            ],
            [
              1.5593352609081192,
              0.38820072616397844,
              -0.07999578858663697,
              3.0502730589563476,
              1.7217745004601397
            ]
          ],
          "initialJacobi": 3.975592503313204,
          "maximumJacobiError": 8.073966677395272e-09,
          "ending": "supplied-companion-surface",
          "duration": 1.5593352609081192,
          "step": 0.001,
          "companionRadius": 0.08000000000000002,
          "ownerExclusionRadius": 0.06,
          "timeMeaning": "Frozen current-binary orbital angular-frequency units; independent of removed mass",
          "masslessTestTrajectories": true
        },
        "adiabatic": {
          "status": "near-threshold",
          "stellarResponse": -0.3333333333333333,
          "exactHull": [
            -0.3297728732852925,
            -0.32977263803424156
          ],
          "fittedLobeResponse": -0.33689037396497307,
          "exactLobeResponse": -0.329772755659767,
          "signedMargin": 0,
          "numericalCertificate": false
        },
        "thermal": {
          "status": "local-detachment",
          "stellarResponse": 0,
          "exactHull": [
            -0.3297728732852925,
            -0.32977263803424156
          ],
          "fittedLobeResponse": -0.33689037396497307,
          "exactLobeResponse": -0.329772755659767,
          "signedMargin": 0.32977263803424156,
          "numericalCertificate": false
        },
        "showsOverflowTracers": true,
        "massSequence": [
          {
            "fraction": 0,
            "removed": 0,
            "donor": 0.6323329047973826,
            "accretor": 1,
            "escapedMass": 0,
            "massRatio": 0.6323329047973826,
            "separation": 0.9999999999999999,
            "periodRatio": 0.9999999999999999,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31616645239869134,
            "orbitalEnergyChange": -5.551115123125783e-17,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0008,
            "removed": 0.000505866323837906,
            "donor": 0.6318270384735447,
            "accretor": 1.000505866323838,
            "escapedMass": 0,
            "massRatio": 0.6315075800555462,
            "separation": 1.0005893370992407,
            "periodRatio": 1.0008841358804021,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31588716522176025,
            "orbitalEnergyChange": 0.0002792871769310423,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0016,
            "removed": 0.001011732647675812,
            "donor": 0.6313211721497067,
            "accretor": 1.0010117326476757,
            "escapedMass": 0,
            "massRatio": 0.6306830894777451,
            "separation": 1.0011808169676872,
            "periodRatio": 1.0017717482219402,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31560727576901615,
            "orbitalEnergyChange": 0.0005591766296751399,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0024,
            "removed": 0.001517598971513718,
            "donor": 0.6308153058258689,
            "accretor": 1.0015175989715137,
            "escapedMass": 0,
            "massRatio": 0.6298594317999711,
            "separation": 1.001774444535562,
            "periodRatio": 1.0026628471994095,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31532678535141945,
            "orbitalEnergyChange": 0.0008396670472718415,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0032,
            "removed": 0.002023465295351624,
            "donor": 0.630309439502031,
            "accretor": 1.0020234652953517,
            "escapedMass": 0,
            "massRatio": 0.6290366057607683,
            "separation": 1.0023702247560553,
            "periodRatio": 1.0035574430396046,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3150456952828499,
            "orbitalEnergyChange": 0.0011207571158413643,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.004,
            "removed": 0.0025293316191895305,
            "donor": 0.629803573178193,
            "accretor": 1.0025293316191894,
            "escapedMass": 0,
            "massRatio": 0.6282146101012273,
            "separation": 1.0029681626054212,
            "periodRatio": 1.0044555460215754,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31476400688010153,
            "orbitalEnergyChange": 0.0014024455185897566,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0048,
            "removed": 0.003035197943027436,
            "donor": 0.6292977068543552,
            "accretor": 1.0030351979430274,
            "escapedMass": 0,
            "massRatio": 0.6273934435649778,
            "separation": 1.0035682630830725,
            "periodRatio": 1.0053571664768806,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3144817214628786,
            "orbitalEnergyChange": 0.0016847309358126727,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.005600000000000001,
            "removed": 0.0035410642668653428,
            "donor": 0.6287918405305173,
            "accretor": 1.0035410642668654,
            "escapedMass": 0,
            "massRatio": 0.6265731048981834,
            "separation": 1.0041705312116824,
            "periodRatio": 1.0062623147898555,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3141988403537883,
            "orbitalEnergyChange": 0.0019676120449029777,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0064,
            "removed": 0.004046930590703248,
            "donor": 0.6282859742066793,
            "accretor": 1.0040469305907032,
            "escapedMass": 0,
            "massRatio": 0.6257535928495341,
            "separation": 1.0047749720372823,
            "periodRatio": 1.0071710013978705,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3139153648783357,
            "orbitalEnergyChange": 0.002251087520355577,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0072,
            "removed": 0.004552796914541154,
            "donor": 0.6277801078828414,
            "accretor": 1.0045527969145411,
            "escapedMass": 0,
            "massRatio": 0.6249349061702405,
            "separation": 1.0053815906293595,
            "periodRatio": 1.008083236791594,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3136312963649191,
            "orbitalEnergyChange": 0.00253515603377219,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.008,
            "removed": 0.005058663238379061,
            "donor": 0.6272742415590035,
            "accretor": 1.0050586632383791,
            "escapedMass": 0,
            "massRatio": 0.6241170436140273,
            "separation": 1.0059903920809605,
            "periodRatio": 1.0089990315152626,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3133466361448225,
            "orbitalEnergyChange": 0.00281981625386879,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0088,
            "removed": 0.005564529562216967,
            "donor": 0.6267683752351656,
            "accretor": 1.0055645295622169,
            "escapedMass": 0,
            "massRatio": 0.6233000039371276,
            "separation": 1.006601381508788,
            "periodRatio": 1.0099183961669433,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31306138555221225,
            "orbitalEnergyChange": 0.003105066846479043,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0096,
            "removed": 0.006070395886054872,
            "donor": 0.6262625089113277,
            "accretor": 1.0060703958860548,
            "escapedMass": 0,
            "massRatio": 0.622483785898275,
            "separation": 1.007214564053305,
            "periodRatio": 1.0108413413988069,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31277554592412965,
            "orbitalEnergyChange": 0.003390906474561639,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0104,
            "removed": 0.006576262209892779,
            "donor": 0.6257566425874898,
            "accretor": 1.0065762622098928,
            "escapedMass": 0,
            "massRatio": 0.6216683882586991,
            "separation": 1.0078299448788348,
            "periodRatio": 1.0117678779173958,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31248911860048617,
            "orbitalEnergyChange": 0.003677333798205118,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.011200000000000002,
            "removed": 0.0070821285337306856,
            "donor": 0.6252507762636519,
            "accretor": 1.0070821285337306,
            "escapedMass": 0,
            "massRatio": 0.6208538097821186,
            "separation": 1.008447529173665,
            "periodRatio": 1.0126980164838997,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31220210492405737,
            "orbitalEnergyChange": 0.0039643474746339225,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.012,
            "removed": 0.0075879948575685915,
            "donor": 0.624744909939814,
            "accretor": 1.0075879948575686,
            "escapedMass": 0,
            "massRatio": 0.6200400492347343,
            "separation": 1.0090673221501485,
            "periodRatio": 1.0136317679144276,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3119145062404778,
            "orbitalEnergyChange": 0.004251946158213504,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0128,
            "removed": 0.008093861181406497,
            "donor": 0.624239043615976,
            "accretor": 1.0080938611814065,
            "escapedMass": 0,
            "massRatio": 0.6192271053852239,
            "separation": 1.0096893290448083,
            "periodRatio": 1.0145691430802843,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31162632389823486,
            "orbitalEnergyChange": 0.004540128500456431,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.013600000000000001,
            "removed": 0.008599727505244403,
            "donor": 0.6237331772921382,
            "accretor": 1.0085997275052443,
            "escapedMass": 0,
            "massRatio": 0.6184149770047356,
            "separation": 1.0103135551184426,
            "periodRatio": 1.0155101529082509,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3113375592486629,
            "orbitalEnergyChange": 0.004828893150028379,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0144,
            "removed": 0.009105593829082308,
            "donor": 0.6232273109683003,
            "accretor": 1.0091055938290823,
            "escapedMass": 0,
            "massRatio": 0.6176036628668811,
            "separation": 1.0109400056562274,
            "periodRatio": 1.0164548083808607,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3110482136459384,
            "orbitalEnergyChange": 0.005118238752752913,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0152,
            "removed": 0.009611460152920215,
            "donor": 0.6227214446444623,
            "accretor": 1.0096114601529202,
            "escapedMass": 0,
            "massRatio": 0.6167931617477304,
            "separation": 1.0115686859678243,
            "periodRatio": 1.017403120536685,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.310758288447073,
            "orbitalEnergyChange": 0.0054081639516183055,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.016,
            "removed": 0.010117326476758122,
            "donor": 0.6222155783206245,
            "accretor": 1.0101173264767582,
            "escapedMass": 0,
            "massRatio": 0.6159834724258054,
            "separation": 1.0121996013874852,
            "periodRatio": 1.0183551004706137,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3104677850119088,
            "orbitalEnergyChange": 0.0056986673867824855,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0168,
            "removed": 0.010623192800596027,
            "donor": 0.6217097119967866,
            "accretor": 1.010623192800596,
            "escapedMass": 0,
            "massRatio": 0.6151745936820736,
            "separation": 1.01283275727416,
            "periodRatio": 1.0193107593341433,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.31017670470311187,
            "orbitalEnergyChange": 0.005989747695579417,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0176,
            "removed": 0.011129059124433934,
            "donor": 0.6212038456729486,
            "accretor": 1.011129059124434,
            "escapedMass": 0,
            "massRatio": 0.6143665242999415,
            "separation": 1.013468159011602,
            "periodRatio": 1.02027010833566,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30988504888616736,
            "orbitalEnergyChange": 0.006281403512523931,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0184,
            "removed": 0.011634925448271839,
            "donor": 0.6206979793491108,
            "accretor": 1.011634925448272,
            "escapedMass": 0,
            "massRatio": 0.6135592630652499,
            "separation": 1.0141058120084787,
            "periodRatio": 1.021233158740734,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3095928189293726,
            "orbitalEnergyChange": 0.006573633469318663,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0192,
            "removed": 0.012140791772109744,
            "donor": 0.6201921130252729,
            "accretor": 1.0121407917721097,
            "escapedMass": 0,
            "massRatio": 0.6127528087662663,
            "separation": 1.014745721698479,
            "periodRatio": 1.022199921872407,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.309300016203832,
            "orbitalEnergyChange": 0.006866436194859271,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.02,
            "removed": 0.012646658095947652,
            "donor": 0.6196862467014349,
            "accretor": 1.0126466580959477,
            "escapedMass": 0,
            "massRatio": 0.6119471601936793,
            "separation": 1.0153878935404226,
            "periodRatio": 1.023170409111487,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3090066420834509,
            "orbitalEnergyChange": 0.007159810315240378,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0208,
            "removed": 0.013152524419785558,
            "donor": 0.619180380377597,
            "accretor": 1.0131525244197856,
            "escapedMass": 0,
            "massRatio": 0.6111423161405936,
            "separation": 1.0160323330183687,
            "periodRatio": 1.0241446318968401,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30871269794493056,
            "orbitalEnergyChange": 0.00745375445376073,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0216,
            "removed": 0.013658390743623464,
            "donor": 0.6186745140537591,
            "accretor": 1.0136583907436234,
            "escapedMass": 0,
            "massRatio": 0.6103382754025222,
            "separation": 1.01667904564173,
            "periodRatio": 1.0251226017256927,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3084181851677607,
            "orbitalEnergyChange": 0.007748267230930583,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.022400000000000003,
            "removed": 0.014164257067461371,
            "donor": 0.6181686477299212,
            "accretor": 1.0141642570674614,
            "escapedMass": 0,
            "massRatio": 0.6095350367773819,
            "separation": 1.0173280369453803,
            "periodRatio": 1.0261043301539243,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30812310513421537,
            "orbitalEnergyChange": 0.00804334726447592,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0232,
            "removed": 0.014670123391299274,
            "donor": 0.6176627814060833,
            "accretor": 1.0146701233912994,
            "escapedMass": 0,
            "massRatio": 0.6087325990654863,
            "separation": 1.0179793124897687,
            "periodRatio": 1.0270898287963726,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3078274592293459,
            "orbitalEnergyChange": 0.008338993169345388,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.024,
            "removed": 0.015175989715137183,
            "donor": 0.6171569150822453,
            "accretor": 1.0151759897151371,
            "escapedMass": 0,
            "massRatio": 0.6079309610695406,
            "separation": 1.0186328778610323,
            "periodRatio": 1.0280791093271355,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.307531248840975,
            "orbitalEnergyChange": 0.008635203557716298,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0248,
            "removed": 0.015681856038975088,
            "donor": 0.6166510487584075,
            "accretor": 1.015681856038975,
            "escapedMass": 0,
            "massRatio": 0.607130121594635,
            "separation": 1.019288738671106,
            "periodRatio": 1.0290721834798708,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30723447535969245,
            "orbitalEnergyChange": 0.00893197703899884,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0256,
            "removed": 0.016187722362812993,
            "donor": 0.6161451824345696,
            "accretor": 1.016187722362813,
            "escapedMass": 0,
            "massRatio": 0.6063300794482391,
            "separation": 1.0199469005578423,
            "periodRatio": 1.0300690630481109,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30693714017884666,
            "orbitalEnergyChange": 0.009229312219844632,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0264,
            "removed": 0.0166935886866509,
            "donor": 0.6156393161107316,
            "accretor": 1.0166935886866508,
            "escapedMass": 0,
            "massRatio": 0.6055308334401961,
            "separation": 1.0206073691851225,
            "periodRatio": 1.0310697598855678,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30663924469454007,
            "orbitalEnergyChange": 0.00952720770415122,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.027200000000000002,
            "removed": 0.017199455010488807,
            "donor": 0.6151334497868938,
            "accretor": 1.0171994550104888,
            "escapedMass": 0,
            "massRatio": 0.6047323823827165,
            "separation": 1.0212701502429695,
            "periodRatio": 1.032074285906438,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30634079030562444,
            "orbitalEnergyChange": 0.009825662093066845,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.028000000000000004,
            "removed": 0.017705321334326715,
            "donor": 0.6146275834630559,
            "accretor": 1.0177053213343268,
            "escapedMass": 0,
            "massRatio": 0.6039347250903726,
            "separation": 1.0219352494476697,
            "periodRatio": 1.0330826530857267,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30604177841369223,
            "orbitalEnergyChange": 0.010124673984999055,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0288,
            "removed": 0.018211187658164617,
            "donor": 0.6141217171392179,
            "accretor": 1.0182111876581645,
            "escapedMass": 0,
            "massRatio": 0.6031378603800922,
            "separation": 1.022602672541886,
            "periodRatio": 1.0340948734595545,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30574221042307215,
            "orbitalEnergyChange": 0.010424241975619142,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0296,
            "removed": 0.018717053982002525,
            "donor": 0.6136158508153801,
            "accretor": 1.0187170539820025,
            "escapedMass": 0,
            "massRatio": 0.6023417870711534,
            "separation": 1.0232724252947742,
            "periodRatio": 1.035110959125474,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30544208774082376,
            "orbitalEnergyChange": 0.010724364657867524,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0304,
            "removed": 0.01922292030584043,
            "donor": 0.6131099844915422,
            "accretor": 1.0192229203058405,
            "escapedMass": 0,
            "massRatio": 0.6015465039851782,
            "separation": 1.023944513502105,
            "periodRatio": 1.0361309222427943,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30514141177672977,
            "orbitalEnergyChange": 0.011025040621961524,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.031200000000000002,
            "removed": 0.01972878662967834,
            "donor": 0.6126041181677042,
            "accretor": 1.0197287866296783,
            "escapedMass": 0,
            "massRatio": 0.6007520099461268,
            "separation": 1.0246189429863792,
            "periodRatio": 1.037154775032897,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3048401839432913,
            "orbitalEnergyChange": 0.011326268455399968,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.032,
            "removed": 0.020234652953516244,
            "donor": 0.6120982518438663,
            "accretor": 1.0202346529535162,
            "escapedMass": 0,
            "massRatio": 0.5999583037802919,
            "separation": 1.0252957195969492,
            "periodRatio": 1.038182529779562,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3045384056557214,
            "orbitalEnergyChange": 0.01162804674296991,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0328,
            "removed": 0.02074051927735415,
            "donor": 0.6115923855200285,
            "accretor": 1.0207405192773542,
            "escapedMass": 0,
            "massRatio": 0.5991653843162931,
            "separation": 1.025974849210138,
            "periodRatio": 1.0392141988292904,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.304236078331939,
            "orbitalEnergyChange": 0.011930374066752292,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0336,
            "removed": 0.021246385601192054,
            "donor": 0.6110865191961905,
            "accretor": 1.021246385601192,
            "escapedMass": 0,
            "massRatio": 0.5983732503850707,
            "separation": 1.0266563377293623,
            "periodRatio": 1.040249794591637,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3039332033925624,
            "orbitalEnergyChange": 0.012233249006128877,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0344,
            "removed": 0.02175225192502996,
            "donor": 0.6105806528723526,
            "accretor": 1.02175225192503,
            "escapedMass": 0,
            "massRatio": 0.5975819008198804,
            "separation": 1.0273401910852507,
            "periodRatio": 1.0412893295395318,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3036297822609045,
            "orbitalEnergyChange": 0.01253667013778681,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0352,
            "removed": 0.022258118248867868,
            "donor": 0.6100747865485147,
            "accretor": 1.022258118248868,
            "escapedMass": 0,
            "massRatio": 0.596791334456287,
            "separation": 1.0280264152357697,
            "periodRatio": 1.04233281620962,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3033258163629649,
            "orbitalEnergyChange": 0.012840636035726383,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.036000000000000004,
            "removed": 0.022763984572705776,
            "donor": 0.6095689202246768,
            "accretor": 1.0227639845727057,
            "escapedMass": 0,
            "massRatio": 0.5960015501321596,
            "separation": 1.0287150161663445,
            "periodRatio": 1.0433802672025907,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30302130712742525,
            "orbitalEnergyChange": 0.013145145271266034,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0368,
            "removed": 0.023269850896543678,
            "donor": 0.6090630539008389,
            "accretor": 1.0232698508965437,
            "escapedMass": 0,
            "massRatio": 0.5952125466876649,
            "separation": 1.0294059998899836,
            "periodRatio": 1.0444316951835146,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30271625598564245,
            "orbitalEnergyChange": 0.013450196413048843,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0376,
            "removed": 0.023775717220381586,
            "donor": 0.608557187577001,
            "accretor": 1.0237757172203816,
            "escapedMass": 0,
            "massRatio": 0.594424322965262,
            "separation": 1.0300993724474041,
            "periodRatio": 1.0454871128821837,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3024106643716422,
            "orbitalEnergyChange": 0.013755788027049076,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0384,
            "removed": 0.024281583544219488,
            "donor": 0.6080513212531631,
            "accretor": 1.0242815835442194,
            "escapedMass": 0,
            "massRatio": 0.5936368778096973,
            "separation": 1.0307951399071558,
            "periodRatio": 1.0465465330934494,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3021045337221138,
            "orbitalEnergyChange": 0.014061918676577467,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0392,
            "removed": 0.024787449868057396,
            "donor": 0.6075454549293252,
            "accretor": 1.0247874498680574,
            "escapedMass": 0,
            "massRatio": 0.5928502100679974,
            "separation": 1.0314933083657478,
            "periodRatio": 1.0476099686775668,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30179786547640314,
            "orbitalEnergyChange": 0.014368586922288151,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.04,
            "removed": 0.025293316191895305,
            "donor": 0.6070395886054872,
            "accretor": 1.0252933161918953,
            "escapedMass": 0,
            "massRatio": 0.5920643185894648,
            "separation": 1.0321938839477776,
            "periodRatio": 1.048677432560543,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30149066107650613,
            "orbitalEnergyChange": 0.014675791322185161,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0408,
            "removed": 0.02579918251573321,
            "donor": 0.6065337222816494,
            "accretor": 1.0257991825157333,
            "escapedMass": 0,
            "massRatio": 0.5912792022256721,
            "separation": 1.0328968728060532,
            "periodRatio": 1.0497489377344755,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30118292196706437,
            "orbitalEnergyChange": 0.014983530431626924,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0416,
            "removed": 0.026305048839571115,
            "donor": 0.6060278559578115,
            "accretor": 1.026305048839571,
            "escapedMass": 0,
            "massRatio": 0.5904948598304557,
            "separation": 1.0336022811217285,
            "periodRatio": 1.0508244972579135,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3008746495953564,
            "orbitalEnergyChange": 0.015291802803334864,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0424,
            "removed": 0.02681091516340902,
            "donor": 0.6055219896339735,
            "accretor": 1.026810915163409,
            "escapedMass": 0,
            "massRatio": 0.5897112902599105,
            "separation": 1.0343101151044272,
            "periodRatio": 1.0519041242562013,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.3005658454112934,
            "orbitalEnergyChange": 0.015600606987397903,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0432,
            "removed": 0.02731678148724693,
            "donor": 0.6050161233101357,
            "accretor": 1.027316781487247,
            "escapedMass": 0,
            "massRatio": 0.5889284923723854,
            "separation": 1.035020380992374,
            "periodRatio": 1.0529878319218344,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.30025651086741234,
            "orbitalEnergyChange": 0.01590994153127895,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044000000000000004,
            "removed": 0.027822647811084837,
            "donor": 0.6045102569862978,
            "accretor": 1.0278226478110848,
            "escapedMass": 0,
            "massRatio": 0.588146465028476,
            "separation": 1.0357330850525286,
            "periodRatio": 1.054075633514823,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29994664741886873,
            "orbitalEnergyChange": 0.01621980497982256,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.044800000000000006,
            "removed": 0.028328514134922742,
            "donor": 0.6040043906624598,
            "accretor": 1.0283285141349228,
            "escapedMass": 0,
            "massRatio": 0.58736520709102,
            "separation": 1.036448233580712,
            "periodRatio": 1.0551675423630396,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29963625652343223,
            "orbitalEnergyChange": 0.016530195875259057,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0456,
            "removed": 0.028834380458760647,
            "donor": 0.6034985243386219,
            "accretor": 1.0288343804587607,
            "escapedMass": 0,
            "massRatio": 0.5865847174250922,
            "separation": 1.0371658329017426,
            "periodRatio": 1.0562635718625903,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29932533964147867,
            "orbitalEnergyChange": 0.016841112757212617,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0464,
            "removed": 0.02934024678259855,
            "donor": 0.6029926580147841,
            "accretor": 1.0293402467825985,
            "escapedMass": 0,
            "massRatio": 0.585804994897998,
            "separation": 1.0378858893695682,
            "periodRatio": 1.057363735478174,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2990138982359846,
            "orbitalEnergyChange": 0.017152554162706668,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0472,
            "removed": 0.029846113106436457,
            "donor": 0.6024867916909461,
            "accretor": 1.0298461131064365,
            "escapedMass": 0,
            "massRatio": 0.585026038379268,
            "separation": 1.0386084093673997,
            "periodRatio": 1.05846804674345,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29870193377252063,
            "orbitalEnergyChange": 0.017464518626170655,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048,
            "removed": 0.030351979430274366,
            "donor": 0.6019809253671082,
            "accretor": 1.0303519794302745,
            "escapedMass": 0,
            "massRatio": 0.5842478467406538,
            "separation": 1.0393333993078455,
            "periodRatio": 1.0595765192614053,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2983894477192456,
            "orbitalEnergyChange": 0.017777004679445707,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.048799999999999996,
            "removed": 0.030857845754112267,
            "donor": 0.6014750590432703,
            "accretor": 1.0308578457541122,
            "escapedMass": 0,
            "massRatio": 0.5834704188561208,
            "separation": 1.0400608656330497,
            "periodRatio": 1.0606891667047307,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2980764415468986,
            "orbitalEnergyChange": 0.01809001085179268,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0496,
            "removed": 0.031363712077950176,
            "donor": 0.6009691927194324,
            "accretor": 1.0313637120779502,
            "escapedMass": 0,
            "massRatio": 0.5826937536018441,
            "separation": 1.0407908148148233,
            "periodRatio": 1.0618060028161864,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29776291672879546,
            "orbitalEnergyChange": 0.018403535669895832,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0504,
            "removed": 0.031869578401788085,
            "donor": 0.6004633263955945,
            "accretor": 1.0318695784017882,
            "escapedMass": 0,
            "massRatio": 0.5819178498562023,
            "separation": 1.0415232533547865,
            "periodRatio": 1.0629270414089858,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29744887474081955,
            "orbitalEnergyChange": 0.018717577657871742,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0512,
            "removed": 0.032375444725625986,
            "donor": 0.5999574600717565,
            "accretor": 1.032375444725626,
            "escapedMass": 0,
            "massRatio": 0.5811427064997725,
            "separation": 1.0422581877845054,
            "periodRatio": 1.064052296367172,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2971343170614162,
            "orbitalEnergyChange": 0.019032135337275102,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.052000000000000005,
            "removed": 0.032881311049463895,
            "donor": 0.5994515937479187,
            "accretor": 1.032881311049464,
            "escapedMass": 0,
            "massRatio": 0.5803683224153249,
            "separation": 1.0429956246656276,
            "periodRatio": 1.0651817816459943,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.296819245171588,
            "orbitalEnergyChange": 0.019347207227103314,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0528,
            "removed": 0.0333871773733018,
            "donor": 0.5989457274240808,
            "accretor": 1.0333871773733019,
            "escapedMass": 0,
            "massRatio": 0.579594696487817,
            "separation": 1.0437355705900264,
            "periodRatio": 1.0663155112723,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29650366055488553,
            "orbitalEnergyChange": 0.01966279184380576,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0536,
            "removed": 0.033893043697139705,
            "donor": 0.5984398611002428,
            "accretor": 1.0338930436971396,
            "escapedMass": 0,
            "massRatio": 0.578821827604389,
            "separation": 1.0444780321799403,
            "periodRatio": 1.0674534993449165,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2961875646974026,
            "orbitalEnergyChange": 0.019978887701288695,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.054400000000000004,
            "removed": 0.03439891002097761,
            "donor": 0.597933994776405,
            "accretor": 1.0343989100209776,
            "escapedMass": 0,
            "massRatio": 0.578049714654358,
            "separation": 1.0452230160881109,
            "periodRatio": 1.0685957600350378,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2958709590877701,
            "orbitalEnergyChange": 0.020295493310921175,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.055200000000000006,
            "removed": 0.03490477634481552,
            "donor": 0.5974281284525671,
            "accretor": 1.0349047763448156,
            "escapedMass": 0,
            "massRatio": 0.5772783565292122,
            "separation": 1.0459705289979293,
            "periodRatio": 1.0697423075866206,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29555384521714845,
            "orbitalEnergyChange": 0.02061260718154284,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.05600000000000001,
            "removed": 0.03541064266865343,
            "donor": 0.5969222621287291,
            "accretor": 1.0354106426686533,
            "escapedMass": 0,
            "massRatio": 0.5765077521226069,
            "separation": 1.0467205776235788,
            "periodRatio": 1.0708931563167785,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29523622457922105,
            "orbitalEnergyChange": 0.020930227819470237,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.056799999999999996,
            "removed": 0.035916508992491325,
            "donor": 0.5964163958048913,
            "accretor": 1.0359165089924913,
            "escapedMass": 0,
            "massRatio": 0.5757379003303579,
            "separation": 1.0474731687101755,
            "periodRatio": 1.072048320616173,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29491809867018937,
            "orbitalEnergyChange": 0.021248353728501923,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0576,
            "removed": 0.036422375316329234,
            "donor": 0.5959105294810534,
            "accretor": 1.0364223753163293,
            "escapedMass": 0,
            "massRatio": 0.5749688000504368,
            "separation": 1.0482283090339162,
            "periodRatio": 1.073207814949419,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29459946898876466,
            "orbitalEnergyChange": 0.021566983409926632,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0584,
            "removed": 0.03692824164016714,
            "donor": 0.5954046631572154,
            "accretor": 1.036928241640167,
            "escapedMass": 0,
            "massRatio": 0.5742004501829662,
            "separation": 1.0489860054022258,
            "periodRatio": 1.0743716538554884,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2942803370361614,
            "orbitalEnergyChange": 0.02188611536252988,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0592,
            "removed": 0.03743410796400505,
            "donor": 0.5948987968333775,
            "accretor": 1.037434107964005,
            "escapedMass": 0,
            "massRatio": 0.5734328496302131,
            "separation": 1.0497462646538975,
            "periodRatio": 1.075539851948105,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29396070431609295,
            "orbitalEnergyChange": 0.022205748082598342,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06,
            "removed": 0.03793997428784295,
            "donor": 0.5943929305095397,
            "accretor": 1.037939974287843,
            "escapedMass": 0,
            "massRatio": 0.5726659972965853,
            "separation": 1.0505090936592472,
            "periodRatio": 1.0767124239161634,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29364057233476215,
            "orbitalEnergyChange": 0.022525880063929138,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0608,
            "removed": 0.03844584061168086,
            "donor": 0.5938870641857017,
            "accretor": 1.0384458406116808,
            "escapedMass": 0,
            "massRatio": 0.571899892088625,
            "separation": 1.0512744993202594,
            "periodRatio": 1.0778893845241353,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.293319942600856,
            "orbitalEnergyChange": 0.022846509797835313,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0616,
            "removed": 0.03895170693551877,
            "donor": 0.5933811978618638,
            "accretor": 1.0389517069355187,
            "escapedMass": 0,
            "massRatio": 0.5711345329150042,
            "separation": 1.0520424885707336,
            "periodRatio": 1.0790707486124769,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29299881662553995,
            "orbitalEnergyChange": 0.02316763577315134,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.062400000000000004,
            "removed": 0.03945757325935668,
            "donor": 0.5928753315380259,
            "accretor": 1.0394575732593567,
            "escapedMass": 0,
            "massRatio": 0.5703699186865192,
            "separation": 1.0528130683764394,
            "periodRatio": 1.0802565310980552,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2926771959224496,
            "orbitalEnergyChange": 0.02348925647624167,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0632,
            "removed": 0.039963439583194586,
            "donor": 0.592369465214188,
            "accretor": 1.0399634395831945,
            "escapedMass": 0,
            "massRatio": 0.569606048316086,
            "separation": 1.0535862457352652,
            "periodRatio": 1.0814467469745594,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29235508200768484,
            "orbitalEnergyChange": 0.023811370391006448,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.064,
            "removed": 0.04046930590703249,
            "donor": 0.5918635988903501,
            "accretor": 1.0404693059070325,
            "escapedMass": 0,
            "massRatio": 0.5688429207187339,
            "separation": 1.0543620276773695,
            "periodRatio": 1.0826414113129235,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2920324763998035,
            "orbitalEnergyChange": 0.02413397599888778,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.06480000000000001,
            "removed": 0.040975172230870396,
            "donor": 0.5913577325665121,
            "accretor": 1.0409751722308704,
            "escapedMass": 0,
            "massRatio": 0.5680805348116018,
            "separation": 1.0551404212653352,
            "periodRatio": 1.0838405392617518,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2917093806198144,
            "orbitalEnergyChange": 0.024457071778876904,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0656,
            "removed": 0.0414810385547083,
            "donor": 0.5908518662426743,
            "accretor": 1.0414810385547082,
            "escapedMass": 0,
            "massRatio": 0.5673188895139326,
            "separation": 1.0559214335943234,
            "periodRatio": 1.085044146047747,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2913857961911704,
            "orbitalEnergyChange": 0.0247806562075209,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0664,
            "removed": 0.041986904878546207,
            "donor": 0.5903459999188364,
            "accretor": 1.0419869048785462,
            "escapedMass": 0,
            "massRatio": 0.5665579837470673,
            "separation": 1.0567050717922282,
            "periodRatio": 1.0862522469761375,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.291061724639762,
            "orbitalEnergyChange": 0.0251047277589293,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0672,
            "removed": 0.04249277120238411,
            "donor": 0.5898401335949984,
            "accretor": 1.0424927712023841,
            "escapedMass": 0,
            "massRatio": 0.5657978164344412,
            "separation": 1.0574913430198323,
            "periodRatio": 1.0874648574311143,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2907371674939104,
            "orbitalEnergyChange": 0.025429284904780913,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.068,
            "removed": 0.04299863752622202,
            "donor": 0.5893342672711606,
            "accretor": 1.042998637526222,
            "escapedMass": 0,
            "massRatio": 0.5650383865015779,
            "separation": 1.0582802544709633,
            "periodRatio": 1.0886819928762625,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2904121262843613,
            "orbitalEnergyChange": 0.025754326114329984,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0688,
            "removed": 0.04350450385005992,
            "donor": 0.5888284009473227,
            "accretor": 1.0435045038500599,
            "escapedMass": 0,
            "massRatio": 0.5642796928760845,
            "separation": 1.0590718133726522,
            "periodRatio": 1.0899036688550028,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.29008660254427776,
            "orbitalEnergyChange": 0.026079849854413528,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0696,
            "removed": 0.04401037017389783,
            "donor": 0.5883225346234847,
            "accretor": 1.0440103701738979,
            "escapedMass": 0,
            "massRatio": 0.5635217344876464,
            "separation": 1.0598660269852929,
            "periodRatio": 1.0911299009910347,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2897605978092329,
            "orbitalEnergyChange": 0.026405854589458377,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0704,
            "removed": 0.044516236497735735,
            "donor": 0.5878166682996468,
            "accretor": 1.0445162364977358,
            "escapedMass": 0,
            "massRatio": 0.5627645102680231,
            "separation": 1.060662902602798,
            "periodRatio": 1.0923607049887756,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.28943411361720484,
            "orbitalEnergyChange": 0.026732338781486453,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0712,
            "removed": 0.04502210282157364,
            "donor": 0.587310801975809,
            "accretor": 1.0450221028215736,
            "escapedMass": 0,
            "massRatio": 0.5620080191510419,
            "separation": 1.061462447552766,
            "periodRatio": 1.0935960966338183,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2891071515085675,
            "orbitalEnergyChange": 0.027059300890123816,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07200000000000001,
            "removed": 0.04552796914541155,
            "donor": 0.586804935651971,
            "accretor": 1.0455279691454116,
            "escapedMass": 0,
            "massRatio": 0.5612522600725934,
            "separation": 1.0622646691966373,
            "periodRatio": 1.094836091793373,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2887797130260855,
            "orbitalEnergyChange": 0.027386739372605773,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0728,
            "removed": 0.046033835469249454,
            "donor": 0.5862990693281331,
            "accretor": 1.0460338354692496,
            "escapedMass": 0,
            "massRatio": 0.5604972319706275,
            "separation": 1.063069574929857,
            "periodRatio": 1.0960807064167233,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.28845179971490775,
            "orbitalEnergyChange": 0.027714652683783536,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0736,
            "removed": 0.046539701793087355,
            "donor": 0.5857932030042953,
            "accretor": 1.0465397017930873,
            "escapedMass": 0,
            "massRatio": 0.5597429337851467,
            "separation": 1.0638771721820435,
            "periodRatio": 1.097329956535688,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.28812341312255857,
            "orbitalEnergyChange": 0.02804303927613272,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07440000000000001,
            "removed": 0.04704556811692527,
            "donor": 0.5852873366804573,
            "accretor": 1.0470455681169253,
            "escapedMass": 0,
            "massRatio": 0.5589893644582021,
            "separation": 1.0646874684171477,
            "periodRatio": 1.0985838582650758,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.28779455479893273,
            "orbitalEnergyChange": 0.028371897599758555,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0752,
            "removed": 0.04755143444076317,
            "donor": 0.5847814703566194,
            "accretor": 1.0475514344407633,
            "escapedMass": 0,
            "massRatio": 0.5582365229338889,
            "separation": 1.0655004711336205,
            "periodRatio": 1.0998424278031498,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.287465226296288,
            "orbitalEnergyChange": 0.028701226102403277,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07600000000000001,
            "removed": 0.04805730076460108,
            "donor": 0.5842756040327814,
            "accretor": 1.048057300764601,
            "escapedMass": 0,
            "massRatio": 0.5574844081583404,
            "separation": 1.0663161878645824,
            "periodRatio": 1.1011056814320992,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2871354291692373,
            "orbitalEnergyChange": 0.029031023229454,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0768,
            "removed": 0.048563167088438976,
            "donor": 0.5837697377089436,
            "accretor": 1.048563167088439,
            "escapedMass": 0,
            "massRatio": 0.5567330190797238,
            "separation": 1.0671346261779848,
            "periodRatio": 1.102373635518499,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2868051649747439,
            "orbitalEnergyChange": 0.02936128742394739,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0776,
            "removed": 0.04906903341227689,
            "donor": 0.5832638713851057,
            "accretor": 1.049069033412277,
            "escapedMass": 0,
            "massRatio": 0.5559823546482351,
            "separation": 1.0679557936767843,
            "periodRatio": 1.103646306513791,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.28647443527211275,
            "orbitalEnergyChange": 0.02969201712657854,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.0784,
            "removed": 0.04957489973611479,
            "donor": 0.5827580050612677,
            "accretor": 1.0495748997361147,
            "escapedMass": 0,
            "massRatio": 0.5552324138160939,
            "separation": 1.0687796979991113,
            "periodRatio": 1.104923710954759,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2861432416229836,
            "orbitalEnergyChange": 0.030023210775707687,
            "massBalanceResidual": -2.220446049250313e-16,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.07919999999999999,
            "removed": 0.050080766059952694,
            "donor": 0.5822521387374299,
            "accretor": 1.0500807660599527,
            "escapedMass": 0,
            "massRatio": 0.5544831955375393,
            "separation": 1.0696063468184382,
            "periodRatio": 1.106205865464003,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2858115855913256,
            "orbitalEnergyChange": 0.03035486680736571,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          },
          {
            "fraction": 0.08,
            "removed": 0.05058663238379061,
            "donor": 0.581746272413592,
            "accretor": 1.0505866323837907,
            "escapedMass": 0,
            "massRatio": 0.5537346987688244,
            "separation": 1.070435747843754,
            "periodRatio": 1.1074927867504278,
            "initialAngular": 0.49492730480285585,
            "orbitalAngular": 0.49492730480285585,
            "escapedAngular": 0,
            "orbitalEnergy": -0.2854794687434285,
            "orbitalEnergyChange": 0.03068698365526279,
            "massBalanceResidual": 0,
            "angularBalanceResidual": 0,
            "effectiveLossFactor": 2
          }
        ],
        "continuationNote": "Mass sequence is prescribed stripping. A detached snapshot is not sustained self-driven Roche overflow."
      }
    },
    {
      "name": "envelope",
      "actual": {
        "schema": "binary-mass-transfer-v1",
        "parameters": {
          "initialMassRatio": 0.4,
          "initialFilling": 1.02,
          "removedFraction": 0.005,
          "retainedFraction": 1,
          "lossAngularMomentumFactor": 2,
          "lossChannel": "constant-specific-j",
          "adiabaticResponse": -0.3333333333333333,
          "equilibriumResponse": 0,
          "launchTransverse": 0,
          "launchSpeed": 0.01,
          "commonEnvelopeEfficiency": 1,
          "scenario": "common-envelope"
        },
        "scenario": "common-envelope",
        "endpoint": {
          "profile": {
            "id": "core-he-4m",
            "massSolar": 4,
            "radiusSolar": 42.307966360430115,
            "coreMassSolar": 0.48221818447237813,
            "coreCutRadiusSolar": 0.0761432670420586,
            "gravitationalCostUnits": 0.731764212351541,
            "gravityLambda": 0.45450176539214077,
            "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
            "coreCut": {
              "belowZone": 2222,
              "belowHydrogen": 0.009268033946080117,
              "nextZone": 2221,
              "nextHydrogen": 0.010029410520783771,
              "bracketMassSolar": 0.00019676609397917266
            },
            "license": "CC-BY-4.0",
            "attribution": {
              "creators": [
                "Thoul, Anne",
                "Chidester, Morgan"
              ],
              "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
              "doi": "10.5281/zenodo.7082536",
              "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
            },
            "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
          },
          "efficiency": 1,
          "companionMass": 1.4,
          "companionRadius": 2e-05,
          "initialSeparation": 89.23962502933215,
          "finalSeparation": 0.4423206074105399,
          "releasedOrbitalEnergy": 0.731764212351541,
          "unusedOrbitalEnergy": 0,
          "energyResidual": 0,
          "requiredEscapedAngular": 22.43785448488378,
          "initialAngular": 22.765123751686545,
          "finalAngular": 0.3272692668027663,
          "coreLobeRadiusSolar": 0.12865767476617598,
          "companionLobeRadiusSolar": 0.2103354348781344,
          "coreFits": true,
          "companionFits": true,
          "directOverlap": false,
          "event": "detached-with-supplied-radii",
          "geometryRefined": true,
          "predictsGasDynamics": false,
          "predictsMergerProbability": false
        },
        "initialSurface": {
          "vertices": [
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.34675510686361727,
            0,
            0,
            0.30941945440017765,
            0.059770541311043715,
            0,
            0.3093883715960049,
            0.05943986299409264,
            0.006247381344290689,
            0.3092966542775098,
            0.058451786809805256,
            0.012424310827761355,
            0.30914879495787356,
            0.056818107660142635,
            0.018461322281462113,
            0.3089519572459993,
            0.05455821860908203,
            0.024290883944097307,
            0.30871552927994056,
            0.05169873384088617,
            0.02984827789979844,
            0.30845056854187164,
            0.04827299824119656,
            0.03507238617655729,
            0.3081691908755582,
            0.04432051332227452,
            0.03990636944073227,
            0.30788395312994915,
            0.0398863091091574,
            0.04429823406697584,
            0.30760726934796795,
            0.0350202882322509,
            0.04820129157255954,
            0.30735088807460537,
            0.029776563114649057,
            0.051574520189353525,
            0.3071254461249708,
            0.02421280106157982,
            0.05438284158353529,
            0.3069401040326876,
            0.01838958622021619,
            0.056597326765424255,
            0.3068022613197527,
            0.012369802356921658,
            0.05819534461667121,
            0.30671734576202253,
            0.006218036428283139,
            0.05916066476831826,
            0.3066886695253334,
            1.6850311021822274e-17,
            0.05948352425509813,
            0.30671734576202253,
            -0.006218036428283131,
            0.059160664768318265,
            0.3068022613197527,
            -0.012369802356921663,
            0.05819534461667121,
            0.3069401040326876,
            -0.01838958622021618,
            0.05659732676542426,
            0.3071254461249708,
            -0.024212801061579803,
            0.0543828415835353,
            0.30735088807460537,
            -0.02977656311464904,
            0.05157452018935353,
            0.30760726934796795,
            -0.035020288232250896,
            0.04820129157255954,
            0.30788395312994915,
            -0.039886309109157386,
            0.04429823406697586,
            0.3081691908755582,
            -0.04432051332227451,
            0.03990636944073229,
            0.30845056854187164,
            -0.04827299824119655,
            0.035072386176557294,
            0.30871552927994056,
            -0.05169873384088617,
            0.02984827789979844,
            0.3089519572459993,
            -0.05455821860908205,
            0.024290883944097296,
            0.30914879495787356,
            -0.056818107660142635,
            0.01846132228146212,
            0.3092966542775098,
            -0.058451786809805256,
            0.012424310827761355,
            0.3093883715960049,
            -0.059439862994092645,
            0.006247381344290678,
            0.30941945440017765,
            -0.059770541311043715,
            3.386323267311936e-17,
            0.3093883715960049,
            -0.059439862994092645,
            -0.006247381344290664,
            0.3092966542775098,
            -0.058451786809805256,
            -0.012424310827761341,
            0.30914879495787356,
            -0.05681810766014265,
            -0.01846132228146211,
            0.3089519572459993,
            -0.05455821860908203,
            -0.024290883944097307,
            0.30871552927994056,
            -0.05169873384088618,
            -0.029848277899798426,
            0.30845056854187164,
            -0.04827299824119656,
            -0.03507238617655727,
            0.3081691908755582,
            -0.04432051332227452,
            -0.03990636944073227,
            0.30788395312994915,
            -0.039886309109157414,
            -0.04429823406697583,
            0.30760726934796795,
            -0.03502028823225091,
            -0.048201291572559535,
            0.30735088807460537,
            -0.029776563114649077,
            -0.051574520189353525,
            0.3071254461249708,
            -0.02421280106157985,
            -0.05438284158353527,
            0.3069401040326876,
            -0.018389586220216195,
            -0.056597326765424255,
            0.3068022613197527,
            -0.012369802356921691,
            -0.05819534461667121,
            0.30671734576202253,
            -0.006218036428283185,
            -0.05916066476831826,
            0.3066886695253334,
            -1.092694613715148e-17,
            -0.05948352425509813,
            0.30671734576202253,
            0.006218036428283111,
            -0.059160664768318265,
            0.3068022613197527,
            0.01236980235692167,
            -0.05819534461667121,
            0.3069401040326876,
            0.018389586220216178,
            -0.05659732676542426,
            0.3071254461249708,
            0.024212801061579782,
            -0.0543828415835353,
            0.30735088807460537,
            0.029776563114649057,
            -0.051574520189353525,
            0.30760726934796795,
            0.03502028823225089,
            -0.04820129157255954,
            0.30788395312994915,
            0.039886309109157414,
            -0.04429823406697583,
            0.3081691908755582,
            0.04432051332227452,
            -0.03990636944073227,
            0.30845056854187164,
            0.04827299824119655,
            -0.0350723861765573,
            0.30871552927994056,
            0.05169873384088618,
            -0.029848277899798423,
            0.3089519572459993,
            0.05455821860908205,
            -0.024290883944097307,
            0.30914879495787356,
            0.056818107660142635,
            -0.018461322281462127,
            0.3092966542775098,
            0.058451786809805256,
            -0.012424310827761334,
            0.3093883715960049,
            0.05943986299409264,
            -0.006247381344290685,
            0.30941945440017765,
            0.059770541311043715,
            -6.772646534623872e-17,
            0.27565478658451986,
            0.11369949037355424,
            0,
            0.2755955148570374,
            0.11306410309053543,
            0.011883516091330332,
            0.27542068489858834,
            0.11116621123620322,
            0.023629107634250735,
            0.27513904381729676,
            0.10803038211528466,
            0.035101198940823086,
            0.27476450179811335,
            0.10369677739474037,
            0.04616877987019218,
            0.2743152174504478,
            0.09822006000229863,
            0.0567073780821483,
            0.2738124726739581,
            0.0916680122175786,
            0.06660070933378587,
            0.2732794520817678,
            0.08411997935866553,
            0.07574196962079327,
            0.2727400320026551,
            0.07566524892730206,
            0.08403477239632781,
            0.2722176605705749,
            0.06640145731763744,
            0.09139376534493447,
            0.27173438125831867,
            0.05643309124853206,
            0.09774498127062807,
            0.2713100242932555,
            0.04587012459842579,
            0.10302598667163265,
            0.2709615681522483,
            0.03482680734274891,
            0.10718589161115252,
            0.2707026586075498,
            0.023420603926059897,
            0.11018527841271077,
            0.27054326543864765,
            0.011771264148996926,
            0.11199609720048102,
            0.27048945567371,
            3.1897427434146224e-17,
            0.11260156539526463,
            0.27054326543864765,
            -0.011771264148996912,
            0.11199609720048104,
            0.2707026586075498,
            -0.02342060392605991,
            0.11018527841271077,
            0.2709615681522483,
            -0.034826807342748886,
            0.10718589161115254,
            0.2713100242932555,
            -0.045870124598425766,
            0.10302598667163267,
            0.27173438125831867,
            -0.056433091248532026,
            0.09774498127062808,
            0.2722176605705749,
            -0.06640145731763741,
            0.09139376534493447,
            0.2727400320026551,
            -0.07566524892730202,
            0.08403477239632785,
            0.2732794520817678,
            -0.08411997935866551,
            0.07574196962079328,
            0.2738124726739581,
            -0.0916680122175786,
            0.06660070933378588,
            0.2743152174504478,
            -0.09822006000229863,
            0.0567073780821483,
            0.27476450179811335,
            -0.10369677739474038,
            0.04616877987019217,
            0.27513904381729676,
            -0.10803038211528466,
            0.0351011989408231,
            0.27542068489858834,
            -0.11116621123620322,
            0.023629107634250735,
            0.2755955148570374,
            -0.11306410309053545,
            0.011883516091330313,
            0.27565478658451986,
            -0.11369949037355424,
            6.441688853541236e-17,
            0.2755955148570374,
            -0.11306410309053545,
            -0.011883516091330287,
            0.27542068489858834,
            -0.11116621123620322,
            -0.023629107634250704,
            0.27513904381729676,
            -0.10803038211528468,
            -0.03510119894082307,
            0.27476450179811335,
            -0.10369677739474037,
            -0.04616877987019218,
            0.2743152174504478,
            -0.09822006000229865,
            -0.05670737808214827,
            0.2738124726739581,
            -0.0916680122175786,
            -0.06660070933378585,
            0.2732794520817678,
            -0.08411997935866553,
            -0.07574196962079327,
            0.2727400320026551,
            -0.07566524892730207,
            -0.08403477239632778,
            0.2722176605705749,
            -0.06640145731763746,
            -0.09139376534493447,
            0.27173438125831867,
            -0.056433091248532095,
            -0.09774498127062806,
            0.2713100242932555,
            -0.045870124598425856,
            -0.10302598667163262,
            0.2709615681522483,
            -0.034826807342748914,
            -0.10718589161115252,
            0.2707026586075498,
            -0.023420603926059963,
            -0.11018527841271075,
            0.27054326543864765,
            -0.011771264148997014,
            -0.11199609720048102,
            0.27048945567371,
            -2.068457199604383e-17,
            -0.11260156539526463,
            0.27054326543864765,
            0.011771264148996874,
            -0.11199609720048104,
            0.2707026586075498,
            0.02342060392605992,
            -0.11018527841271075,
            0.2709615681522483,
            0.03482680734274887,
            -0.10718589161115254,
            0.2713100242932555,
            0.045870124598425724,
            -0.10302598667163268,
            0.27173438125831867,
            0.05643309124853206,
            -0.09774498127062807,
            0.2722176605705749,
            0.06640145731763741,
            -0.09139376534493449,
            0.2727400320026551,
            0.07566524892730207,
            -0.08403477239632778,
            0.2732794520817678,
            0.08411997935866553,
            -0.07574196962079326,
            0.2738124726739581,
            0.0916680122175786,
            -0.0666007093337859,
            0.2743152174504478,
            0.09822006000229865,
            -0.05670737808214826,
            0.27476450179811335,
            0.10369677739474038,
            -0.04616877987019218,
            0.27513904381729676,
            0.10803038211528466,
            -0.03510119894082311,
            0.27542068489858834,
            0.11116621123620322,
            -0.023629107634250697,
            0.2755955148570374,
            0.11306410309053543,
            -0.011883516091330329,
            0.27565478658451986,
            0.11369949037355424,
            -1.288337770708247e-16,
            0.24296809870271613,
            0.16318356058886013,
            0,
            0.242882324861795,
            0.1622619070320813,
            0.01705441365135719,
            0.24262945094594185,
            0.15950997943511014,
            0.033904892780782944,
            0.2422224848080577,
            0.1549663812855889,
            0.050351629533626284,
            0.24168203726107068,
            0.14869386031864898,
            0.06620277194312318,
            0.2410348733853736,
            0.1407771211695837,
            0.0812777088029997,
            0.24031215529854444,
            0.1313201176792014,
            0.09540965027660848,
            0.23954757162363438,
            0.12044309000775995,
            0.10844744535071582,
            0.23877552580874256,
            0.10827959200321749,
            0.12025666997937233,
            0.2380295095860337,
            0.09497370373765604,
            0.1307200887446953,
            0.23734073432942143,
            0.08067755953304868,
            0.13973763214190313,
            0.2367370443247071,
            0.06554925776511385,
            0.14722604344257215,
            0.23624209932521245,
            0.04975116469544849,
            0.15311834053847648,
            0.23587479151120805,
            0.03344858444140682,
            0.15736321748247517,
            0.23564885287451903,
            0.01680874066328463,
            0.15992448468700105,
            0.23557261018800257,
            4.5545443030221607e-17,
            0.16078062070716545,
            0.23564885287451903,
            -0.01680874066328461,
            0.15992448468700107,
            0.23587479151120805,
            -0.03344858444140684,
            0.15736321748247517,
            0.23624209932521245,
            -0.04975116469544847,
            0.1531183405384765,
            0.2367370443247071,
            -0.0655492577651138,
            0.14722604344257215,
            0.23734073432942143,
            -0.08067755953304864,
            0.13973763214190313,
            0.2380295095860337,
            -0.09497370373765603,
            0.1307200887446953,
            0.23877552580874256,
            -0.10827959200321743,
            0.12025666997937237,
            0.23954757162363438,
            -0.12044309000775993,
            0.10844744535071586,
            0.24031215529854444,
            -0.1313201176792014,
            0.09540965027660851,
            0.2410348733853736,
            -0.1407771211695837,
            0.0812777088029997,
            0.24168203726107068,
            -0.14869386031864898,
            0.06620277194312317,
            0.2422224848080577,
            -0.1549663812855889,
            0.0503516295336263,
            0.24262945094594185,
            -0.15950997943511014,
            0.033904892780782944,
            0.242882324861795,
            -0.16226190703208132,
            0.017054413651357167,
            0.24296809870271613,
            -0.16318356058886013,
            9.24522809972883e-17,
            0.242882324861795,
            -0.16226190703208132,
            -0.017054413651357125,
            0.24262945094594185,
            -0.15950997943511014,
            -0.0339048927807829,
            0.2422224848080577,
            -0.15496638128558893,
            -0.05035162953362626,
            0.24168203726107068,
            -0.14869386031864898,
            -0.0662027719431232,
            0.2410348733853736,
            -0.14077712116958374,
            -0.08127770880299967,
            0.24031215529854444,
            -0.1313201176792014,
            -0.09540965027660847,
            0.23954757162363438,
            -0.12044309000775995,
            -0.10844744535071582,
            0.23877552580874256,
            -0.10827959200321753,
            -0.1202566699793723,
            0.2380295095860337,
            -0.09497370373765607,
            -0.1307200887446953,
            0.23734073432942143,
            -0.08067755953304874,
            -0.1397376321419031,
            0.2367370443247071,
            -0.06554925776511394,
            -0.1472260434425721,
            0.23624209932521245,
            -0.049751164695448505,
            -0.15311834053847648,
            0.23587479151120805,
            -0.03344858444140691,
            -0.15736321748247517,
            0.23564885287451903,
            -0.016808740663284756,
            -0.15992448468700105,
            0.23557261018800257,
            -2.953492087709322e-17,
            -0.16078062070716545,
            0.23564885287451903,
            0.016808740663284555,
            -0.15992448468700107,
            0.23587479151120805,
            0.033448584441406845,
            -0.15736321748247517,
            0.23624209932521245,
            0.049751164695448456,
            -0.1531183405384765,
            0.2367370443247071,
            0.06554925776511376,
            -0.14722604344257217,
            0.23734073432942143,
            0.08067755953304868,
            -0.13973763214190313,
            0.2380295095860337,
            0.09497370373765601,
            -0.13072008874469532,
            0.23877552580874256,
            0.10827959200321753,
            -0.1202566699793723,
            0.23954757162363438,
            0.12044309000775995,
            -0.10844744535071581,
            0.24031215529854444,
            0.1313201176792014,
            -0.09540965027660853,
            0.2410348733853736,
            0.14077712116958374,
            -0.08127770880299966,
            0.24168203726107068,
            0.14869386031864898,
            -0.06620277194312318,
            0.2422224848080577,
            0.1549663812855889,
            -0.05035162953362632,
            0.24262945094594185,
            0.15950997943511014,
            -0.033904892780782896,
            0.242882324861795,
            0.1622619070320813,
            -0.017054413651357184,
            0.24296809870271613,
            0.16318356058886013,
            -1.849045619945766e-16,
            0.20999731922847037,
            0.20892648951247375,
            0,
            0.20988693765786565,
            0.20773309252270222,
            0.02183362782897263,
            0.2095617179238619,
            0.20417124035249856,
            0.043397936841230764,
            0.20903894926472028,
            0.19829508935950788,
            0.0644299801991683,
            0.20834590482477944,
            0.1901921547244506,
            0.08467900300396483,
            0.20751777583542969,
            0.17997958670663342,
            0.10391126283371237,
            0.20659520751659843,
            0.16779964820968715,
            0.12191358060867634,
            0.2056217347652085,
            0.1538148926081669,
            0.1384955513776314,
            0.20464136918611747,
            0.1382034846483542,
            0.1534905196434664,
            0.20369650898911384,
            0.12115499452269003,
            0.1667555440358146,
            0.20282625606268484,
            0.10286686324345332,
            0.17817063355290053,
            0.2020651500268954,
            0.08354161596197403,
            0.18763754160197704,
            0.2014422772782789,
            0.06338480552893268,
            0.19507837248345103,
            0.20098068533052682,
            0.042603605681486925,
            0.20043420606147086,
            0.2006970252138915,
            0.021405937847894047,
            0.203663894169301,
            0.20060135150136843,
            5.79990098121074e-17,
            0.20474313515413473,
            0.2006970252138915,
            -0.021405937847894015,
            0.20366389416930103,
            0.20098068533052682,
            -0.042603605681486946,
            0.20043420606147086,
            0.2014422772782789,
            -0.06338480552893265,
            0.19507837248345106,
            0.2020651500268954,
            -0.08354161596197397,
            0.18763754160197707,
            0.20282625606268484,
            -0.10286686324345325,
            0.17817063355290055,
            0.20369650898911384,
            -0.12115499452269,
            0.1667555440358146,
            0.20464136918611747,
            -0.13820348464835414,
            0.15349051964346644,
            0.2056217347652085,
            -0.15381489260816686,
            0.13849555137763145,
            0.20659520751659843,
            -0.16779964820968715,
            0.12191358060867637,
            0.20751777583542969,
            -0.17997958670663342,
            0.10391126283371237,
            0.20834590482477944,
            -0.19019215472445064,
            0.0846790030039648,
            0.20903894926472028,
            -0.19829508935950788,
            0.06442998019916835,
            0.2095617179238619,
            -0.20417124035249856,
            0.043397936841230764,
            0.20988693765786565,
            -0.20773309252270225,
            0.021833627828972597,
            0.20999731922847037,
            -0.20892648951247375,
            1.1836811530819628e-16,
            0.20988693765786565,
            -0.20773309252270225,
            -0.021833627828972545,
            0.2095617179238619,
            -0.20417124035249856,
            -0.04339793684123071,
            0.20903894926472028,
            -0.1982950893595079,
            -0.06442998019916828,
            0.20834590482477944,
            -0.1901921547244506,
            -0.08467900300396485,
            0.20751777583542969,
            -0.17997958670663344,
            -0.10391126283371233,
            0.20659520751659843,
            -0.16779964820968715,
            -0.12191358060867631,
            0.2056217347652085,
            -0.1538148926081669,
            -0.1384955513776314,
            0.20464136918611747,
            -0.13820348464835425,
            -0.15349051964346636,
            0.20369650898911384,
            -0.12115499452269006,
            -0.1667555440358146,
            0.20282625606268484,
            -0.10286686324345339,
            -0.1781706335529005,
            0.2020651500268954,
            -0.08354161596197414,
            -0.18763754160197696,
            0.2014422772782789,
            -0.06338480552893269,
            -0.19507837248345103,
            0.20098068533052682,
            -0.042603605681487036,
            -0.20043420606147083,
            0.2006970252138915,
            -0.021405937847894203,
            -0.203663894169301,
            0.20060135150136843,
            -3.7610703767085746e-17,
            -0.20474313515413473,
            0.2006970252138915,
            0.021405937847893946,
            -0.20366389416930103,
            0.20098068533052682,
            0.04260360568148697,
            -0.20043420606147083,
            0.2014422772782789,
            0.06338480552893264,
            -0.19507837248345106,
            0.2020651500268954,
            0.0835416159619739,
            -0.18763754160197707,
            0.20282625606268484,
            0.10286686324345332,
            -0.17817063355290053,
            0.20369650898911384,
            0.12115499452268999,
            -0.16675554403581463,
            0.20464136918611747,
            0.13820348464835425,
            -0.15349051964346636,
            0.2056217347652085,
            0.1538148926081669,
            -0.1384955513776314,
            0.20659520751659843,
            0.16779964820968715,
            -0.12191358060867638,
            0.20751777583542969,
            0.17997958670663344,
            -0.10391126283371231,
            0.20834590482477944,
            0.19019215472445064,
            -0.08467900300396483,
            0.20903894926472028,
            0.19829508935950788,
            -0.06442998019916836,
            0.2095617179238619,
            0.20417124035249856,
            -0.043397936841230694,
            0.20988693765786565,
            0.20773309252270222,
            -0.02183362782897262,
            0.20999731922847037,
            0.20892648951247375,
            -2.3673623061639256e-16,
            0.1759412736625519,
            0.2512631448338762,
            0,
            0.17580902832321915,
            0.24981076541771655,
            0.02625616946036239,
            0.1754196695559897,
            0.24547787481301617,
            0.05217793303631883,
            0.174794667969627,
            0.2383358583423764,
            0.07744001469401392,
            0.17396772023438645,
            0.228499382070757,
            0.10173447947317603,
            0.1729819891855739,
            0.21612062422241654,
            0.12477730057224212,
            0.17188687315645124,
            0.2013823997882178,
            0.146312877837918,
            0.17073472816455937,
            0.1844910122405259,
            0.1661164535579718,
            0.16957788241361954,
            0.1656695377426808,
            0.1839946619429886,
            0.16846615439229123,
            0.14515202964973145,
            0.1997846293295861,
            0.16744495598943843,
            0.1231788967690918,
            0.21335210762434878,
            0.16655395909693532,
            0.099993509575275,
            0.2245890996578109,
            0.16582623940765046,
            0.07583994798328136,
            0.2334113593683726,
            0.16528778249844345,
            0.05096172288815013,
            0.23975605593048854,
            0.16495723603126183,
            0.025601268826373366,
            0.24357980210464353,
            0.16484580797884313,
            6.936239239135398e-17,
            0.2448571747346027,
            0.16495723603126183,
            -0.025601268826373334,
            0.24357980210464353,
            0.16528778249844345,
            -0.05096172288815016,
            0.23975605593048854,
            0.16582623940765046,
            -0.07583994798328134,
            0.23341135936837262,
            0.16655395909693532,
            -0.09999350957527493,
            0.22458909965781093,
            0.16744495598943843,
            -0.12317889676909173,
            0.2133521076243488,
            0.16846615439229123,
            -0.14515202964973142,
            0.1997846293295861,
            0.16957788241361954,
            -0.16566953774268073,
            0.18399466194298866,
            0.17073472816455937,
            -0.18449101224052586,
            0.16611645355797186,
            0.17188687315645124,
            -0.20138239978821776,
            0.14631287783791802,
            0.1729819891855739,
            -0.21612062422241654,
            0.12477730057224212,
            0.17396772023438645,
            -0.22849938207075704,
            0.101734479473176,
            0.174794667969627,
            -0.2383358583423764,
            0.07744001469401394,
            0.1754196695559897,
            -0.24547787481301617,
            0.05217793303631883,
            0.17580902832321915,
            -0.24981076541771657,
            0.02625616946036235,
            0.1759412736625519,
            -0.2512631448338762,
            1.4235411206016837e-16,
            0.17580902832321915,
            -0.24981076541771657,
            -0.02625616946036229,
            0.1754196695559897,
            -0.24547787481301617,
            -0.05217793303631877,
            0.174794667969627,
            -0.23833585834237642,
            -0.07744001469401389,
            0.17396772023438645,
            -0.228499382070757,
            -0.10173447947317604,
            0.1729819891855739,
            -0.21612062422241657,
            -0.12477730057224207,
            0.17188687315645124,
            -0.2013823997882178,
            -0.14631287783791797,
            0.17073472816455937,
            -0.1844910122405259,
            -0.1661164535579718,
            0.16957788241361954,
            -0.16566953774268087,
            -0.18399466194298855,
            0.16846615439229123,
            -0.14515202964973148,
            -0.19978462932958607,
            0.16744495598943843,
            -0.12317889676909188,
            -0.21335210762434875,
            0.16655395909693532,
            -0.09999350957527513,
            -0.22458909965781082,
            0.16582623940765046,
            -0.07583994798328139,
            -0.2334113593683726,
            0.16528778249844345,
            -0.05096172288815027,
            -0.23975605593048852,
            0.16495723603126183,
            -0.025601268826373553,
            -0.24357980210464353,
            0.16484580797884313,
            -4.49795332930493e-17,
            -0.2448571747346027,
            0.16495723603126183,
            0.025601268826373248,
            -0.24357980210464353,
            0.16528778249844345,
            0.05096172288815018,
            -0.23975605593048852,
            0.16582623940765046,
            0.07583994798328131,
            -0.23341135936837262,
            0.16655395909693532,
            0.09999350957527485,
            -0.22458909965781096,
            0.16744495598943843,
            0.1231788967690918,
            -0.21335210762434878,
            0.16846615439229123,
            0.1451520296497314,
            -0.19978462932958613,
            0.16957788241361954,
            0.16566953774268087,
            -0.18399466194298855,
            0.17073472816455937,
            0.1844910122405259,
            -0.16611645355797178,
            0.17188687315645124,
            0.20138239978821776,
            -0.14631287783791805,
            0.1729819891855739,
            0.21612062422241657,
            -0.12477730057224205,
            0.17396772023438645,
            0.22849938207075704,
            -0.10173447947317603,
            0.174794667969627,
            0.2383358583423764,
            -0.07744001469401397,
            0.1754196695559897,
            0.24547787481301617,
            -0.05217793303631875,
            0.17580902832321915,
            0.24981076541771655,
            -0.02625616946036238,
            0.1759412736625519,
            0.2512631448338762,
            -2.8470822412033674e-16,
            0.14032148190802363,
            0.29031240182993345,
            0,
            0.1401712796445696,
            0.2886135096010413,
            0.030334502213960415,
            0.13972940173148274,
            0.283547608162775,
            0.06026990466083814,
            0.13902117933622382,
            0.27520501454237106,
            0.08941952972687976,
            0.13808614592358653,
            0.2637299172715702,
            0.1174201243433502,
            0.1369745372245011,
            0.24931200307791057,
            0.14394035208923642,
            0.13574327598736785,
            0.23217666483610522,
            0.16868622101387723,
            0.13445200776493715,
            0.21257507561638156,
            0.1914034578019091,
            0.1331596155434347,
            0.19077515894243893,
            0.2118772790400011,
            0.1319214511574578,
            0.16705410696293324,
            0.2299302525642389,
            0.1307873429896852,
            0.14169272221892482,
            0.24541899394592126,
            0.12980030944682208,
            0.11497156463509683,
            0.25823036212373285,
            0.12899583560473665,
            0.08716869982174753,
            0.2682776723983638,
            0.12840154742270748,
            0.05855875653570985,
            0.27549728917151894,
            0.1280371281379986,
            0.029412981674367338,
            0.27984582733530095,
            0.1279143497501682,
            7.968526429185984e-17,
            0.28129809266666855,
            0.1280371281379986,
            -0.029412981674367306,
            0.27984582733530095,
            0.12840154742270748,
            -0.058558756535709876,
            0.27549728917151894,
            0.12899583560473665,
            -0.08716869982174749,
            0.2682776723983638,
            0.12980030944682208,
            -0.11497156463509675,
            0.25823036212373285,
            0.1307873429896852,
            -0.14169272221892473,
            0.2454189939459213,
            0.1319214511574578,
            -0.1670541069629332,
            0.2299302525642389,
            0.1331596155434347,
            -0.19077515894243885,
            0.21187727904000117,
            0.13445200776493715,
            -0.21257507561638153,
            0.19140345780190918,
            0.13574327598736785,
            -0.2321766648361052,
            0.16868622101387729,
            0.1369745372245011,
            -0.24931200307791057,
            0.14394035208923642,
            0.13808614592358653,
            -0.2637299172715702,
            0.11742012434335017,
            0.13902117933622382,
            -0.27520501454237106,
            0.0894195297268798,
            0.13972940173148274,
            -0.283547608162775,
            0.06026990466083814,
            0.1401712796445696,
            -0.2886135096010413,
            0.030334502213960366,
            0.14032148190802363,
            -0.29031240182993345,
            1.6447762050370987e-16,
            0.1401712796445696,
            -0.2886135096010413,
            -0.030334502213960297,
            0.13972940173148274,
            -0.283547608162775,
            -0.06026990466083807,
            0.13902117933622382,
            -0.27520501454237106,
            -0.08941952972687973,
            0.13808614592358653,
            -0.2637299172715702,
            -0.11742012434335021,
            0.1369745372245011,
            -0.24931200307791057,
            -0.1439403520892364,
            0.13574327598736785,
            -0.23217666483610522,
            -0.1686862210138772,
            0.13445200776493715,
            -0.21257507561638156,
            -0.1914034578019091,
            0.1331596155434347,
            -0.19077515894243902,
            -0.21187727904000103,
            0.1319214511574578,
            -0.1670541069629333,
            -0.22993025256423888,
            0.1307873429896852,
            -0.14169272221892493,
            -0.24541899394592126,
            0.12980030944682208,
            -0.11497156463509697,
            -0.25823036212373274,
            0.12899583560473665,
            -0.08716869982174756,
            -0.2682776723983638,
            0.12840154742270748,
            -0.05855875653571,
            -0.2754972891715189,
            0.1280371281379986,
            -0.02941298167436756,
            -0.27984582733530095,
            0.1279143497501682,
            -5.167362131857368e-17,
            -0.28129809266666855,
            0.1280371281379986,
            0.029412981674367206,
            -0.27984582733530095,
            0.12840154742270748,
            0.0585587565357099,
            -0.2754972891715189,
            0.12899583560473665,
            0.08716869982174746,
            -0.2682776723983638,
            0.12980030944682208,
            0.11497156463509665,
            -0.2582303621237329,
            0.1307873429896852,
            0.14169272221892482,
            -0.24541899394592126,
            0.1319214511574578,
            0.16705410696293319,
            -0.22993025256423893,
            0.1331596155434347,
            0.19077515894243902,
            -0.21187727904000103,
            0.13445200776493715,
            0.21257507561638156,
            -0.19140345780190907,
            0.13574327598736785,
            0.2321766648361052,
            -0.1686862210138773,
            0.1369745372245011,
            0.24931200307791057,
            -0.14394035208923636,
            0.13808614592358653,
            0.2637299172715702,
            -0.1174201243433502,
            0.13902117933622382,
            0.27520501454237106,
            -0.08941952972687983,
            0.13972940173148274,
            0.283547608162775,
            -0.06026990466083805,
            0.1401712796445696,
            0.2886135096010413,
            -0.030334502213960404,
            0.14032148190802363,
            0.29031240182993345,
            -3.2895524100741974e-16,
            0.10286696581105043,
            0.32605991759961667,
            0,
            0.10270398726291358,
            0.3241277846038393,
            0.034067202929144426,
            0.10222492803778432,
            0.31836926541584354,
            0.0676714763982024,
            0.1014583618893537,
            0.3088951723082612,
            0.10036612555421148,
            0.10044861922850362,
            0.29588132141775036,
            0.1317348517421774,
            0.09925155777554923,
            0.279556975036797,
            0.16140229479133222,
            0.09792981112926802,
            0.26019158283458604,
            0.1890402503583564,
            0.09654822910281763,
            0.2380816804347389,
            0.21436970793666482,
            0.09517001514345175,
            0.21353935069684515,
            0.23715947529241616,
            0.09385380528498077,
            0.18688304783133605,
            0.2572224482776005,
            0.09265170585806826,
            0.15843102811219892,
            0.2744105901857016,
            0.09160815646268328,
            0.12849723277012814,
            0.28860951014663766,
            0.09075941372602964,
            0.09738924859644353,
            0.29973328710314234,
            0.09013344109305499,
            0.06540789530073365,
            0.307719953629446,
            0.08975001578009628,
            0.032848002970353986,
            0.3125278718533339,
            0.08962090587474947,
            8.898666815800144e-17,
            0.3141331116619597,
            0.08975001578009628,
            -0.032848002970353944,
            0.31252787185333397,
            0.09013344109305499,
            -0.06540789530073368,
            0.307719953629446,
            0.09075941372602964,
            -0.0973892485964435,
            0.2997332871031424,
            0.09160815646268328,
            -0.12849723277012806,
            0.28860951014663766,
            0.09265170585806826,
            -0.1584310281121988,
            0.27441059018570163,
            0.09385380528498077,
            -0.18688304783133602,
            0.2572224482776005,
            0.09517001514345175,
            -0.21353935069684507,
            0.23715947529241624,
            0.09654822910281763,
            -0.23808168043473887,
            0.2143697079366649,
            0.09792981112926802,
            -0.260191582834586,
            0.18904025035835645,
            0.09925155777554923,
            -0.279556975036797,
            0.16140229479133222,
            0.10044861922850362,
            -0.29588132141775036,
            0.13173485174217736,
            0.1014583618893537,
            -0.3088951723082612,
            0.10036612555421152,
            0.10222492803778432,
            -0.31836926541584354,
            0.0676714763982024,
            0.10270398726291358,
            -0.32412778460383934,
            0.03406720292914437,
            0.10286696581105043,
            -0.32605991759961667,
            1.847305146124523e-16,
            0.10270398726291358,
            -0.32412778460383934,
            -0.034067202929144294,
            0.10222492803778432,
            -0.31836926541584354,
            -0.06767147639820231,
            0.1014583618893537,
            -0.30889517230826125,
            -0.10036612555421144,
            0.10044861922850362,
            -0.29588132141775036,
            -0.13173485174217742,
            0.09925155777554923,
            -0.27955697503679705,
            -0.16140229479133217,
            0.09792981112926802,
            -0.26019158283458604,
            -0.18904025035835637,
            0.09654822910281763,
            -0.2380816804347389,
            -0.21436970793666482,
            0.09517001514345175,
            -0.21353935069684524,
            -0.2371594752924161,
            0.09385380528498077,
            -0.18688304783133608,
            -0.25722244827760044,
            0.09265170585806826,
            -0.15843102811219903,
            -0.2744105901857016,
            0.09160815646268328,
            -0.12849723277012834,
            -0.28860951014663755,
            0.09075941372602964,
            -0.09738924859644356,
            -0.29973328710314234,
            0.09013344109305499,
            -0.06540789530073383,
            -0.307719953629446,
            0.08975001578009628,
            -0.032848002970354236,
            -0.3125278718533339,
            0.08962090587474947,
            -5.770531645545256e-17,
            -0.3141331116619597,
            0.08975001578009628,
            0.03284800297035384,
            -0.31252787185333397,
            0.09013344109305499,
            0.06540789530073371,
            -0.307719953629446,
            0.09075941372602964,
            0.09738924859644346,
            -0.2997332871031424,
            0.09160815646268328,
            0.12849723277012798,
            -0.2886095101466377,
            0.09265170585806826,
            0.15843102811219892,
            -0.2744105901857016,
            0.09385380528498077,
            0.186883047831336,
            -0.25722244827760055,
            0.09517001514345175,
            0.21353935069684524,
            -0.2371594752924161,
            0.09654822910281763,
            0.2380816804347389,
            -0.2143697079366648,
            0.09792981112926802,
            0.260191582834586,
            -0.18904025035835648,
            0.09925155777554923,
            0.27955697503679705,
            -0.16140229479133214,
            0.10044861922850362,
            0.29588132141775036,
            -0.1317348517421774,
            0.1014583618893537,
            0.3088951723082612,
            -0.10036612555421154,
            0.10222492803778432,
            0.31836926541584354,
            -0.06767147639820228,
            0.10270398726291358,
            0.3241277846038393,
            -0.03406720292914441,
            0.10286696581105043,
            0.32605991759961667,
            -3.694610292249046e-16,
            0.06345231117628947,
            0.35840750880590294,
            0,
            0.06328296151097229,
            0.35625706344628005,
            0.03744412621151683,
            0.06278561011542838,
            0.3498511788150997,
            0.07436316366514166,
            0.06199110934395885,
            0.339322394604046,
            0.110252529379769,
            0.06094703454221184,
            0.32487971046267744,
            0.14464576637271576,
            0.05971281712342069,
            0.30679329240539915,
            0.17712718995582874,
            0.058354391154112284,
            0.28537726197160923,
            0.2073387173481011,
            0.056939201818183516,
            0.2609731171930283,
            0.23498125017361682,
            0.055532135401152316,
            0.2339355960466971,
            0.2598118006334884,
            0.05419259763020878,
            0.2046218916386559,
            0.2816378721840576,
            0.052972698609596025,
            0.173384359969386,
            0.30031052070478786,
            0.05191634198815542,
            0.14056636046894633,
            0.3157172147871292,
            0.05105895559284662,
            0.10650063453255301,
            0.3277752495995566,
            0.05042760888517839,
            0.0715095859328105,
            0.33642615109583734,
            0.05004130596936002,
            0.03590689421700295,
            0.34163127799978343,
            0.04991129734554556,
            9.726843329640741e-17,
            0.3433686893820036,
            0.05004130596936002,
            -0.03590689421700291,
            0.34163127799978343,
            0.05042760888517839,
            -0.07150958593281054,
            0.33642615109583734,
            0.05105895559284662,
            -0.10650063453255298,
            0.3277752495995567,
            0.05191634198815542,
            -0.14056636046894622,
            0.3157172147871293,
            0.052972698609596025,
            -0.1733843599693859,
            0.3003105207047879,
            0.05419259763020878,
            -0.20462189163865588,
            0.2816378721840576,
            0.055532135401152316,
            -0.23393559604669695,
            0.25981180063348847,
            0.056939201818183516,
            -0.26097311719302824,
            0.2349812501736169,
            0.058354391154112284,
            -0.2853772619716092,
            0.20733871734810116,
            0.05971281712342069,
            -0.30679329240539915,
            0.17712718995582874,
            0.0609470345422104,
            -0.324879710462676,
            0.14464576637271503,
            0.06199110934395885,
            -0.339322394604046,
            0.11025252937976904,
            0.06278561011542838,
            -0.3498511788150997,
            0.07436316366514166,
            0.06328296151097229,
            -0.35625706344628005,
            0.03744412621151678,
            0.06345231117628947,
            -0.35840750880590294,
            2.030571682348954e-16,
            0.06328296151097229,
            -0.35625706344628005,
            -0.037444126211516694,
            0.06278561011542838,
            -0.3498511788150997,
            -0.07436316366514156,
            0.06199110934395885,
            -0.33932239460404606,
            -0.11025252937976895,
            0.06094703454221184,
            -0.32487971046267744,
            -0.14464576637271576,
            0.05971281712342069,
            -0.3067932924053992,
            -0.17712718995582866,
            0.058354391154112284,
            -0.28537726197160923,
            -0.20733871734810108,
            0.056939201818183516,
            -0.2609731171930283,
            -0.23498125017361682,
            0.055532135401152316,
            -0.23393559604669717,
            -0.25981180063348835,
            0.05419259763020878,
            -0.20462189163865596,
            -0.28163787218405756,
            0.052972698609596025,
            -0.17338435996938611,
            -0.30031052070478786,
            0.05191634198815542,
            -0.14056636046894652,
            -0.3157172147871291,
            0.05105895559284662,
            -0.10650063453255305,
            -0.3277752495995566,
            0.05042760888517839,
            -0.07150958593281069,
            -0.3364261510958373,
            0.05004130596936002,
            -0.035906894217003216,
            -0.34163127799978343,
            0.04991129734554556,
            -6.307580495686386e-17,
            -0.3433686893820036,
            0.05004130596936002,
            0.035906894217002785,
            -0.34163127799978343,
            0.05042760888517839,
            0.07150958593281055,
            -0.3364261510958373,
            0.05105895559284662,
            0.10650063453255294,
            -0.3277752495995567,
            0.05191634198815542,
            0.14056636046894613,
            -0.3157172147871293,
            0.052972698609596025,
            0.173384359969386,
            -0.30031052070478786,
            0.05419259763020878,
            0.20462189163865582,
            -0.2816378721840576,
            0.055532135401152316,
            0.23393559604669717,
            -0.25981180063348835,
            0.056939201818183516,
            0.2609731171930283,
            -0.23498125017361676,
            0.058354391154112284,
            0.2853772619716092,
            -0.2073387173481012,
            0.05971281712342069,
            0.3067932924053992,
            -0.17712718995582866,
            0.0609470345422104,
            0.324879710462676,
            -0.1446457663727151,
            0.06199110934395885,
            0.339322394604046,
            -0.11025252937976907,
            0.06278561011542838,
            0.3498511788150997,
            -0.07436316366514155,
            0.06328296151097229,
            0.35625706344628005,
            -0.037444126211516826,
            0.06345231117628947,
            0.35840750880590294,
            -4.061143364697908e-16,
            0.022061526917216412,
            0.387204843946038,
            0,
            0.021893244607871454,
            0.38485334341145605,
            0.04044971634869986,
            0.021399461387222873,
            0.37785214718132826,
            0.08031495322449826,
            0.020611985563340818,
            0.36635621570965504,
            0.1190363503214182,
            0.01957957071113925,
            0.35060844577560024,
            0.15610093737073966,
            0.0183626011583643,
            0.3309201794802375,
            0.19105685470319436,
            0.017027366417970813,
            0.30764967895965967,
            0.22352057549138885,
            0.0156408724253993,
            0.2811819026552578,
            0.25317732233415563,
            0.01426676970040791,
            0.25191180221092613,
            0.27977640016863087,
            0.012962584710898284,
            0.22023209801194277,
            0.3031234780110735,
            0.011778146038571247,
            0.18652549221167594,
            0.3230716294174155,
            0.010754939867535507,
            0.15116068874473768,
            0.3395124656893698,
            0.009926087487010238,
            0.11449136640311917,
            0.3523681935275797,
            0.009316666415626451,
            0.07685726942001982,
            0.3615850238457231,
            0.008944156133793346,
            0.038586716914064866,
            0.36712808781232814,
            0.00881885317137554,
            1.0452292295631477e-16,
            0.3689778672235643,
            0.008944156133793346,
            -0.03858671691406481,
            0.3671280878123282,
            0.009316666415626451,
            -0.07685726942001986,
            0.3615850238457231,
            0.009926087487010238,
            -0.11449136640311912,
            0.3523681935275797,
            0.010754939867535507,
            -0.15116068874473756,
            0.3395124656893698,
            0.01177814603856997,
            -0.18652549221167494,
            0.3230716294174141,
            0.012962584710898284,
            -0.2202320980119427,
            0.3031234780110735,
            0.01426676970040791,
            -0.25191180221092596,
            0.279776400168631,
            0.01564087242540063,
            -0.28118190265525905,
            0.2531773223341569,
            0.017027366417970813,
            -0.3076496789596596,
            0.22352057549138887,
            0.0183626011583643,
            -0.3309201794802375,
            0.19105685470319436,
            0.01957957071113925,
            -0.3506084457756003,
            0.15610093737073963,
            0.020611985563340818,
            -0.36635621570965504,
            0.11903635032141824,
            0.021399461387222873,
            -0.37785214718132826,
            0.08031495322449826,
            0.021893244607871454,
            -0.3848533434114561,
            0.04044971634869979,
            0.022061526917216412,
            -0.387204843946038,
            2.193724104733994e-16,
            0.021893244607871454,
            -0.3848533434114561,
            -0.0404497163486997,
            0.021399461387222873,
            -0.37785214718132826,
            -0.08031495322449816,
            0.020611985563340818,
            -0.36635621570965504,
            -0.11903635032141816,
            0.01957957071113925,
            -0.35060844577560024,
            -0.15610093737073968,
            0.0183626011583643,
            -0.33092017948023755,
            -0.19105685470319428,
            0.017027366417970813,
            -0.30764967895965967,
            -0.2235205754913888,
            0.0156408724253993,
            -0.2811819026552578,
            -0.25317732233415563,
            0.01426676970040791,
            -0.2519118022109262,
            -0.2797764001686308,
            0.012962584710898284,
            -0.2202320980119428,
            -0.3031234780110734,
            0.011778146038571247,
            -0.18652549221167605,
            -0.32307162941741546,
            0.010754939867535507,
            -0.15116068874473787,
            -0.33951246568936966,
            0.009926087487010238,
            -0.1144913664031192,
            -0.3523681935275797,
            0.009316666415626451,
            -0.07685726942002002,
            -0.36158502384572305,
            0.008944156133793346,
            -0.03858671691406515,
            -0.36712808781232814,
            0.00881885317137554,
            -6.778013460773326e-17,
            -0.3689778672235643,
            0.008944156133793346,
            0.038586716914064685,
            -0.3671280878123282,
            0.009316666415626451,
            0.0768572694200199,
            -0.36158502384572305,
            0.009926087487010238,
            0.11449136640311908,
            -0.3523681935275797,
            0.010754939867535507,
            0.15116068874473745,
            -0.3395124656893698,
            0.011778146038571247,
            0.18652549221167594,
            -0.3230716294174155,
            0.012962584710898284,
            0.22023209801194268,
            -0.30312347801107353,
            0.01426676970040791,
            0.2519118022109262,
            -0.2797764001686308,
            0.01564087242540063,
            0.2811819026552591,
            -0.2531773223341568,
            0.017027366417970813,
            0.3076496789596596,
            -0.22352057549138893,
            0.0183626011583643,
            0.33092017948023755,
            -0.19105685470319425,
            0.01957957071113925,
            0.3506084457756003,
            -0.15610093737073966,
            0.020611985563340818,
            0.36635621570965504,
            -0.1190363503214183,
            0.021399461387222873,
            0.37785214718132826,
            -0.08031495322449814,
            0.021893244607871454,
            0.38485334341145605,
            -0.040449716348699837,
            0.022061526917216412,
            0.387204843946038,
            -4.387448209467988e-16,
            -0.021234461650695452,
            0.41227104291933137,
            0,
            -0.021393524430902977,
            0.4097385834368892,
            0.0430652604709758,
            -0.021859857186966564,
            0.40220238552687876,
            0.085490756163074,
            -0.02260234443944431,
            0.3898397783404659,
            0.1266666223578877,
            -0.02357357205220076,
            0.3729271474690635,
            0.1660378635835137,
            -0.02471529578950693,
            0.3518159452046284,
            0.2031210306690948,
            -0.02596421693697132,
            0.32690667003077734,
            0.23751159846597533,
            -0.02725707510373976,
            0.2986249974328855,
            0.2688831554170022,
            -0.028534497814035803,
            0.26740266310872507,
            0.29698074414720455,
            -0.029743477109395622,
            0.23366403224409535,
            0.32161094944516616,
            -0.030838642550500173,
            0.19781805681789355,
            0.34263092506313847,
            -0.03178264041416909,
            0.16025466907143135,
            0.35993787992428533,
            -0.03254594796949434,
            0.12134447627068645,
            0.3734598969454448,
            -0.03310640408245108,
            0.0814407215381946,
            0.383148470686241,
            -0.03344866692901172,
            0.040882693687784404,
            0.38897284761592604,
            -0.0335637417898369,
            1.1073751944747317e-16,
            0.3909161032975885,
            -0.03344866692901172,
            -0.04088269368778436,
            0.3889728476159261,
            -0.03310640408245108,
            -0.08144072153819465,
            0.383148470686241,
            -0.03254594796949434,
            -0.1213444762706864,
            0.37345989694544485,
            -0.03178264041416909,
            -0.16025466907143124,
            0.35993787992428533,
            -0.030838642550500173,
            -0.19781805681789344,
            0.3426309250631385,
            -0.029743477109395622,
            -0.2336640322440953,
            0.32161094944516616,
            -0.028534497814035803,
            -0.26740266310872496,
            0.29698074414720466,
            -0.02725707510373976,
            -0.2986249974328855,
            0.2688831554170023,
            -0.02596421693697132,
            -0.32690667003077734,
            0.2375115984659754,
            -0.02471529578950693,
            -0.3518159452046284,
            0.2031210306690948,
            -0.02357357205220076,
            -0.3729271474690635,
            0.16603786358351366,
            -0.02260234443944431,
            -0.3898397783404659,
            0.12666662235788773,
            -0.021859857186966564,
            -0.40220238552687876,
            0.085490756163074,
            -0.021393524430902977,
            -0.40973858343688924,
            0.04306526047097573,
            -0.021234461650695452,
            -0.41227104291933137,
            2.3357376300333717e-16,
            -0.021393524430902977,
            -0.40973858343688924,
            -0.043065260470975635,
            -0.021859857186966564,
            -0.40220238552687876,
            -0.08549075616307389,
            -0.02260234443944431,
            -0.38983977834046596,
            -0.12666662235788767,
            -0.02357357205220076,
            -0.3729271474690635,
            -0.16603786358351372,
            -0.02471529578950693,
            -0.35181594520462844,
            -0.2031210306690947,
            -0.02596421693697132,
            -0.32690667003077734,
            -0.23751159846597528,
            -0.02725707510373976,
            -0.2986249974328855,
            -0.2688831554170022,
            -0.028534497814035803,
            -0.2674026631087252,
            -0.2969807441472045,
            -0.029743477109395622,
            -0.2336640322440954,
            -0.3216109494451661,
            -0.030838642550500173,
            -0.1978180568178937,
            -0.3426309250631384,
            -0.03178264041416909,
            -0.16025466907143157,
            -0.35993787992428516,
            -0.03254594796949434,
            -0.12134447627068648,
            -0.3734598969454448,
            -0.03310640408245108,
            -0.08144072153819482,
            -0.38314847068624097,
            -0.03344866692901172,
            -0.04088269368778471,
            -0.38897284761592604,
            -0.0335637417898369,
            -7.181012319578218e-17,
            -0.3909161032975885,
            -0.03344866692901172,
            0.04088269368778422,
            -0.3889728476159261,
            -0.03310640408245108,
            0.08144072153819468,
            -0.38314847068624097,
            -0.03254594796949434,
            0.12134447627068636,
            -0.37345989694544485,
            -0.03178264041416909,
            0.16025466907143113,
            -0.3599378799242854,
            -0.030838642550500173,
            0.19781805681789355,
            -0.34263092506313847,
            -0.029743477109395622,
            0.23366403224409524,
            -0.3216109494451662,
            -0.028534497814035803,
            0.2674026631087252,
            -0.2969807441472045,
            -0.02725707510373976,
            0.2986249974328855,
            -0.26888315541700214,
            -0.02596421693697132,
            0.32690667003077734,
            -0.23751159846597544,
            -0.02471529578950693,
            0.35181594520462844,
            -0.20312103066909468,
            -0.02357357205220076,
            0.3729271474690635,
            -0.1660378635835137,
            -0.02260234443944431,
            0.3898397783404659,
            -0.12666662235788778,
            -0.021859857186966564,
            0.40220238552687876,
            -0.08549075616307386,
            -0.021393524430902977,
            0.4097385834368892,
            -0.04306526047097579,
            -0.021234461650695452,
            0.41227104291933137,
            -4.671475260066743e-16,
            -0.06629259800824713,
            0.43341021730729073,
            0,
            -0.06643400698047316,
            0.43072008093609465,
            0.0452705047203585,
            -0.06684825162050312,
            0.4227184179433525,
            0.08985157347263038,
            -0.06750680046190005,
            0.40960394393382066,
            0.1330883890387774,
            -0.06836641258240994,
            0.3916847650039712,
            0.17438929297810105,
            -0.06937437428468612,
            0.3693498186638817,
            0.21324421723073156,
            -0.07047392894820739,
            0.34303841048446604,
            0.24923199395632464,
            -0.07160894436254223,
            0.3132128838869878,
            0.2820181473780336,
            -0.07272731757429071,
            0.28033735328276055,
            0.31134617292992656,
            -0.07378304821604084,
            0.24486333675185568,
            0.3370254696914988,
            -0.07473719013311139,
            0.2072216764271119,
            0.3589184720013556,
            -0.0755580048131333,
            0.16781944656250597,
            0.37692864835564177,
            -0.07622063758686459,
            0.1270404324567271,
            0.3909902475276937,
            -0.07670657786871599,
            0.08524795886617557,
            0.4010601140533906,
            -0.07700309085743481,
            0.04278915045846913,
            0.40711157214844074,
            -0.07710274263890418,
            1.1589716301157826e-16,
            0.4091302349356118,
            -0.07700309085743481,
            -0.04278915045846908,
            0.4071115721484408,
            -0.07670657786871687,
            -0.08524795886617521,
            0.4010601140533887,
            -0.07622063758686459,
            -0.12704043245672705,
            0.3909902475276937,
            -0.0755580048131333,
            -0.1678194465625059,
            0.37692864835564177,
            -0.07473719013311139,
            -0.20722167642711173,
            0.3589184720013556,
            -0.07378304821604084,
            -0.24486333675185562,
            0.3370254696914988,
            -0.07272731757429071,
            -0.28033735328276044,
            0.31134617292992667,
            -0.07160894436254223,
            -0.31321288388698776,
            0.28201814737803366,
            -0.07047392894820739,
            -0.343038410484466,
            0.24923199395632467,
            -0.06937437428468612,
            -0.3693498186638817,
            0.21324421723073156,
            -0.06836641258240994,
            -0.39168476500397126,
            0.174389292978101,
            -0.06750680046190005,
            -0.40960394393382066,
            0.13308838903877743,
            -0.06684825162050312,
            -0.4227184179433525,
            0.08985157347263038,
            -0.06643400698047316,
            -0.43072008093609465,
            0.04527050472035842,
            -0.06629259800824713,
            -0.43341021730729073,
            2.4555024447925193e-16,
            -0.06643400698047316,
            -0.43072008093609465,
            -0.04527050472035832,
            -0.06684825162050312,
            -0.4227184179433525,
            -0.08985157347263029,
            -0.06750680046190094,
            -0.4096039439338188,
            -0.13308838903877673,
            -0.06836641258240994,
            -0.3916847650039712,
            -0.17438929297810107,
            -0.06937437428468612,
            -0.3693498186638818,
            -0.21324421723073145,
            -0.07047392894820739,
            -0.34303841048446604,
            -0.2492319939563246,
            -0.07160894436254223,
            -0.3132128838869878,
            -0.2820181473780336,
            -0.07272731757429071,
            -0.2803373532827606,
            -0.3113461729299265,
            -0.07378304821604084,
            -0.24486333675185573,
            -0.33702546969149877,
            -0.07473719013311139,
            -0.207221676427112,
            -0.3589184720013556,
            -0.0755580048131333,
            -0.16781944656250622,
            -0.37692864835564166,
            -0.07622063758686459,
            -0.1270404324567271,
            -0.3909902475276937,
            -0.07670657786871687,
            -0.08524795886617541,
            -0.40106011405338865,
            -0.07700309085743481,
            -0.04278915045846945,
            -0.40711157214844074,
            -0.07710274263890418,
            -7.515600489724524e-17,
            -0.4091302349356118,
            -0.07700309085743481,
            0.04278915045846894,
            -0.4071115721484408,
            -0.07670657786871687,
            0.08524795886617526,
            -0.40106011405338865,
            -0.07622063758686459,
            0.127040432456727,
            -0.3909902475276937,
            -0.0755580048131333,
            0.16781944656250572,
            -0.3769286483556418,
            -0.07473719013311139,
            0.2072216764271119,
            -0.3589184720013556,
            -0.07378304821604084,
            0.24486333675185556,
            -0.3370254696914989,
            -0.07272731757429071,
            0.2803373532827606,
            -0.3113461729299265,
            -0.07160894436254223,
            0.3132128838869878,
            -0.28201814737803355,
            -0.07047392894820739,
            0.343038410484466,
            -0.24923199395632473,
            -0.06937437428468612,
            0.3693498186638818,
            -0.21324421723073145,
            -0.06836641258240994,
            0.39168476500397126,
            -0.17438929297810105,
            -0.06750680046190005,
            0.40960394393382066,
            -0.13308838903877748,
            -0.06684825162050312,
            0.4227184179433525,
            -0.08985157347263024,
            -0.06643400698047316,
            0.43072008093609465,
            -0.04527050472035848,
            -0.06629259800824713,
            0.43341021730729073,
            -4.911004889585039e-16,
            -0.11290786991478277,
            0.450423261628221,
            0,
            -0.1130234296825629,
            0.4476020878005453,
            0.04704487514159648,
            -0.11336170863779829,
            0.4392141835286748,
            0.09335785668756116,
            -0.11389875744966727,
            0.42547759972928656,
            0.13824605245794588,
            -0.11459845522205031,
            0.40672886857677254,
            0.1810873594334648,
            -0.11541706610682179,
            0.38339009561545595,
            0.22135037490821982,
            -0.11630788726022576,
            0.35593437596203376,
            0.2586014613154666,
            -0.11722515393146926,
            0.3248553770036687,
            0.2925010952660028,
            -0.11812679755563404,
            0.2906442754057364,
            0.32279316962907345,
            -0.11897603932320155,
            0.25377472888996677,
            0.34929094871662386,
            -0.11974203588918322,
            0.21469493075924279,
            0.37186252820249055,
            -0.12039987579795405,
            0.173825102458983,
            0.39041757235054386,
            -0.12093020747646693,
            0.13155874609095433,
            0.40489618701554936,
            -0.12131871811248987,
            0.08826627463539094,
            0.41526017330115483,
            -0.12155561480700222,
            0.0443000239992592,
            0.4214865736597592,
            -0.12163520280316956,
            1.1998571556972785e-16,
            0.4235632928741848,
            -0.12155561480700222,
            -0.04430002399925914,
            0.4214865736597593,
            -0.12131871811248987,
            -0.08826627463539098,
            0.41526017330115483,
            -0.12093020747646693,
            -0.1315587460909543,
            0.4048961870155494,
            -0.12039987579795405,
            -0.1738251024589829,
            0.3904175723505439,
            -0.11974203588918322,
            -0.21469493075924265,
            0.3718625282024906,
            -0.11897603932320155,
            -0.2537747288899667,
            0.34929094871662386,
            -0.11812679755563404,
            -0.29064427540573634,
            0.32279316962907356,
            -0.11722515393146926,
            -0.3248553770036686,
            0.2925010952660029,
            -0.11630788726022576,
            -0.35593437596203376,
            0.25860146131546663,
            -0.11541706610682179,
            -0.38339009561545595,
            0.22135037490821982,
            -0.11459845522205031,
            -0.4067288685767726,
            0.18108735943346477,
            -0.11389875744966727,
            -0.42547759972928656,
            0.13824605245794594,
            -0.11336170863779829,
            -0.4392141835286748,
            0.09335785668756116,
            -0.1130234296825629,
            -0.44760208780054533,
            0.047044875141596394,
            -0.11290786991478277,
            -0.450423261628221,
            2.5518905091601585e-16,
            -0.1130234296825629,
            -0.44760208780054533,
            -0.04704487514159629,
            -0.11336170863779829,
            -0.4392141835286748,
            -0.09335785668756104,
            -0.11389875744966727,
            -0.4254775997292866,
            -0.13824605245794583,
            -0.11459845522205031,
            -0.40672886857677254,
            -0.18108735943346482,
            -0.11541706610682179,
            -0.383390095615456,
            -0.2213503749082197,
            -0.11630788726022576,
            -0.35593437596203376,
            -0.2586014613154665,
            -0.11722515393146926,
            -0.3248553770036687,
            -0.2925010952660028,
            -0.11812679755563404,
            -0.2906442754057365,
            -0.3227931696290734,
            -0.11897603932320155,
            -0.2537747288899668,
            -0.3492909487166238,
            -0.11974203588918322,
            -0.21469493075924295,
            -0.3718625282024905,
            -0.12039987579795405,
            -0.17382510245898322,
            -0.3904175723505437,
            -0.12093020747646693,
            -0.1315587460909544,
            -0.40489618701554936,
            -0.12131871811248987,
            -0.08826627463539118,
            -0.4152601733011548,
            -0.12155561480700222,
            -0.04430002399925952,
            -0.4214865736597592,
            -0.12163520280316956,
            -7.78073146282025e-17,
            -0.4235632928741848,
            -0.12155561480700222,
            0.044300023999259,
            -0.4214865736597593,
            -0.12131871811248987,
            0.08826627463539102,
            -0.4152601733011548,
            -0.12093020747646693,
            0.13155874609095425,
            -0.4048961870155494,
            -0.12039987579795405,
            0.17382510245898275,
            -0.3904175723505439,
            -0.11974203588918322,
            0.21469493075924279,
            -0.37186252820249055,
            -0.11897603932320155,
            0.25377472888996666,
            -0.3492909487166239,
            -0.11812679755563404,
            0.2906442754057365,
            -0.3227931696290734,
            -0.11722515393146926,
            0.3248553770036687,
            -0.29250109526600276,
            -0.11630788726022576,
            0.35593437596203376,
            -0.2586014613154667,
            -0.11541706610682179,
            0.383390095615456,
            -0.22135037490821968,
            -0.11459845522205031,
            0.4067288685767726,
            -0.1810873594334648,
            -0.11389875744966727,
            0.42547759972928656,
            -0.138246052457946,
            -0.11336170863779829,
            0.4392141835286748,
            -0.09335785668756101,
            -0.1130234296825629,
            0.4476020878005453,
            -0.04704487514159646,
            -0.11290786991478277,
            0.450423261628221,
            -5.103781018320317e-16,
            -0.1608206381317147,
            0.4631173008921883,
            0,
            -0.16090297210768445,
            0.46019506690753015,
            0.04836845058035276,
            -0.16114384297704043,
            0.4515097453469313,
            0.09597135903145097,
            -0.1615258083627824,
            0.43729553491462947,
            0.14208593236846767,
            -0.16202266839256713,
            0.41791250858122425,
            0.1860666367696108,
            -0.16260287999733405,
            0.3938099074475961,
            0.22736625607441116,
            -0.1632329920164706,
            0.36548804466647966,
            0.2655426079277204,
            -0.16388047613491719,
            0.33346535426754625,
            0.30025355361571054,
            -0.16451567150939556,
            0.2982539509558741,
            0.3312445705288461,
            -0.16511285645164148,
            0.26034419587861163,
            0.35833304430692686,
            -0.1656506294511445,
            0.2201969891511397,
            0.3813923728834667,
            -0.1661118321391158,
            0.17824183605684588,
            0.4003377184318821,
            -0.1664832241689368,
            0.13487878844287637,
            0.41511422670478443,
            -0.16675506856113187,
            0.09048275218919571,
            0.42568788033776794,
            -0.16692073347883965,
            0.04540910957720452,
            0.43203881805925315,
            -0.16697637461128811,
            1.229866225846981e-16,
            0.43415683770437224,
            -0.16692073347883965,
            -0.045409109577204475,
            0.4320388180592532,
            -0.16675506856113187,
            -0.09048275218919577,
            0.42568788033776794,
            -0.1664832241689368,
            -0.13487878844287632,
            0.41511422670478443,
            -0.1661118321391158,
            -0.17824183605684574,
            0.40033771843188215,
            -0.1656506294511445,
            -0.22019698915113955,
            0.3813923728834668,
            -0.16511285645164148,
            -0.2603441958786116,
            0.35833304430692686,
            -0.16451567150939556,
            -0.2982539509558739,
            0.3312445705288462,
            -0.16388047613491719,
            -0.3334653542675462,
            0.30025355361571066,
            -0.1632329920164706,
            -0.3654880446664796,
            0.26554260792772044,
            -0.16260287999733405,
            -0.3938099074475961,
            0.22736625607441116,
            -0.16202266839256713,
            -0.4179125085812243,
            0.18606663676961074,
            -0.1615258083627824,
            -0.43729553491462947,
            0.14208593236846773,
            -0.16114384297704043,
            -0.4515097453469313,
            0.09597135903145097,
            -0.16090297210768445,
            -0.4601950669075302,
            0.04836845058035269,
            -0.1608206381317147,
            -0.4631173008921883,
            2.623809082378436e-16,
            -0.16090297210768445,
            -0.4601950669075302,
            -0.04836845058035258,
            -0.16114384297704043,
            -0.4515097453469313,
            -0.09597135903145085,
            -0.1615258083627824,
            -0.43729553491462947,
            -0.14208593236846762,
            -0.16202266839256713,
            -0.41791250858122425,
            -0.18606663676961083,
            -0.16260287999733405,
            -0.39380990744759614,
            -0.22736625607441105,
            -0.1632329920164706,
            -0.36548804466647966,
            -0.26554260792772033,
            -0.16388047613491719,
            -0.33346535426754625,
            -0.30025355361571054,
            -0.16451567150939556,
            -0.2982539509558742,
            -0.33124457052884604,
            -0.16511285645164148,
            -0.2603441958786117,
            -0.3583330443069268,
            -0.1656506294511445,
            -0.22019698915113983,
            -0.38139237288346667,
            -0.1661118321391158,
            -0.1782418360568461,
            -0.40033771843188193,
            -0.1664832241689368,
            -0.13487878844287643,
            -0.41511422670478443,
            -0.16675506856113187,
            -0.09048275218919595,
            -0.4256878803377679,
            -0.16692073347883965,
            -0.04540910957720486,
            -0.43203881805925315,
            -0.16697637461128811,
            -7.975331724338945e-17,
            -0.43415683770437224,
            -0.16692073347883965,
            0.04540910957720432,
            -0.4320388180592532,
            -0.16675506856113187,
            0.0904827521891958,
            -0.4256878803377679,
            -0.1664832241689368,
            0.1348787884428763,
            -0.41511422670478443,
            -0.1661118321391158,
            0.1782418360568456,
            -0.4003377184318822,
            -0.1656506294511445,
            0.2201969891511397,
            -0.3813923728834667,
            -0.16511285645164148,
            0.2603441958786115,
            -0.3583330443069269,
            -0.16451567150939556,
            0.2982539509558742,
            -0.33124457052884604,
            -0.16388047613491719,
            0.33346535426754625,
            -0.3002535536157105,
            -0.1632329920164706,
            0.3654880446664796,
            -0.2655426079277205,
            -0.16260287999733405,
            0.39380990744759614,
            -0.22736625607441102,
            -0.16202266839256713,
            0.4179125085812243,
            -0.1860666367696108,
            -0.1615258083627824,
            0.43729553491462947,
            -0.14208593236846778,
            -0.16114384297704043,
            0.4515097453469313,
            -0.0959713590314508,
            -0.16090297210768445,
            0.46019506690753015,
            -0.04836845058035274,
            -0.1608206381317147,
            0.4631173008921883,
            -5.247618164756872e-16,
            -0.20972219424385807,
            0.471313690549046,
            0,
            -0.2097653445391981,
            0.46832348622458814,
            0.0492227818765909,
            -0.20989152339316544,
            0.4594385018740482,
            0.09765666825717369,
            -0.2100914373970842,
            0.44490478671825334,
            0.14455832815306083,
            -0.2103511707780018,
            0.42509954010032225,
            0.1892665093641298,
            -0.21065404275115973,
            0.4004914944298467,
            0.23122387211722745,
            -0.21098245647860892,
            0.3716001908477658,
            0.2699833420658103,
            -0.21131940028229762,
            0.33896120401609925,
            0.30520203895616094,
            -0.21164945665379722,
            0.3031007837647228,
            0.3366275237036382,
            -0.21195933728851804,
            0.2645202307852734,
            0.3640808632517127,
            -0.2122380511179524,
            0.22368845566712584,
            0.3874397702820802,
            -0.2124768349790429,
            0.18104052761132614,
            0.4066236825820599,
            -0.21266896050579395,
            0.13698015166976196,
            0.42158155771379563,
            -0.21280950087087536,
            0.09188447811064648,
            0.43228248231306166,
            -0.21289511189477972,
            0.0461101597140561,
            0.4387088645619416,
            -0.21292385967170502,
            1.2488317337440317e-16,
            0.4408518788080258,
            -0.21289511189477972,
            -0.04611015971405604,
            0.43870886456194164,
            -0.21280950087087536,
            -0.09188447811064653,
            0.43228248231306166,
            -0.21266896050579395,
            -0.1369801516697619,
            0.4215815577137957,
            -0.2124768349790429,
            -0.181040527611326,
            0.40662368258205994,
            -0.2122380511179524,
            -0.2236884556671257,
            0.38743977028208026,
            -0.21195933728851804,
            -0.26452023078527337,
            0.3640808632517127,
            -0.21164945665379722,
            -0.30310078376472266,
            0.3366275237036383,
            -0.21131940028229762,
            -0.3389612040160992,
            0.30520203895616105,
            -0.21098245647860892,
            -0.37160019084776574,
            0.26998334206581037,
            -0.21065404275115973,
            -0.4004914944298467,
            0.23122387211722745,
            -0.2103511707780018,
            -0.4250995401003223,
            0.18926650936412975,
            -0.2100914373970842,
            -0.44490478671825334,
            0.14455832815306088,
            -0.20989152339316544,
            -0.4594385018740482,
            0.09765666825717369,
            -0.2097653445391981,
            -0.4683234862245882,
            0.049222781876590814,
            -0.20972219424385807,
            -0.471313690549046,
            2.670246046799643e-16,
            -0.2097653445391981,
            -0.4683234862245882,
            -0.04922278187659071,
            -0.20989152339316544,
            -0.4594385018740482,
            -0.09765666825717358,
            -0.2100914373970842,
            -0.4449047867182534,
            -0.14455832815306077,
            -0.2103511707780018,
            -0.42509954010032225,
            -0.18926650936412984,
            -0.21065404275115973,
            -0.4004914944298468,
            -0.23122387211722734,
            -0.21098245647860892,
            -0.3716001908477658,
            -0.26998334206581026,
            -0.21131940028229762,
            -0.33896120401609925,
            -0.30520203895616094,
            -0.21164945665379722,
            -0.3031007837647229,
            -0.3366275237036381,
            -0.21195933728851804,
            -0.2645202307852735,
            -0.3640808632517126,
            -0.2122380511179524,
            -0.223688455667126,
            -0.38743977028208015,
            -0.2124768349790429,
            -0.18104052761132639,
            -0.4066236825820598,
            -0.21266896050579395,
            -0.136980151669762,
            -0.42158155771379563,
            -0.21280950087087536,
            -0.09188447811064672,
            -0.4322824823130616,
            -0.21289511189477972,
            -0.04611015971405644,
            -0.4387088645619416,
            -0.21292385967170502,
            -8.098317634205185e-17,
            -0.4408518788080258,
            -0.21289511189477972,
            0.04611015971405589,
            -0.43870886456194164,
            -0.21280950087087536,
            0.09188447811064657,
            -0.4322824823130616,
            -0.21266896050579395,
            0.13698015166976185,
            -0.4215815577137957,
            -0.2124768349790429,
            0.18104052761132586,
            -0.40662368258206,
            -0.2122380511179524,
            0.22368845566712584,
            -0.3874397702820802,
            -0.21195933728851804,
            0.26452023078527337,
            -0.36408086325171274,
            -0.21164945665379722,
            0.3031007837647229,
            -0.3366275237036381,
            -0.21131940028229737,
            0.33896120401610086,
            -0.3052020389561624,
            -0.21098245647860892,
            0.37160019084776574,
            -0.2699833420658104,
            -0.21065404275115973,
            0.4004914944298468,
            -0.2312238721172273,
            -0.2103511707780018,
            0.4250995401003223,
            -0.1892665093641298,
            -0.2100914373970842,
            0.44490478671825334,
            -0.14455832815306094,
            -0.20989152339316544,
            0.4594385018740482,
            -0.09765666825717353,
            -0.2097653445391981,
            0.46832348622458814,
            -0.049222781876590876,
            -0.20972219424385807,
            0.471313690549046,
            -5.340492093599286e-16,
            -0.25925925925925913,
            0.47485515970774456,
            0,
            -0.25925925925925913,
            0.4718327468133227,
            0.04959162002711782,
            -0.25925925925925913,
            0.4628535112276337,
            0.09838255090344278,
            -0.25925925925925913,
            0.4481700831062762,
            0.14561928726356763,
            -0.25925925925925913,
            0.4281690495481777,
            0.19063314302014062,
            -0.25925925925925913,
            0.40332961730926276,
            0.23286246312565156,
            -0.25925925925925913,
            0.37418138240701987,
            0.27185868750653686,
            -0.25925925925925913,
            0.3412685651973751,
            0.3072795962954376,
            -0.25925925925925913,
            0.30512421347963425,
            0.33887477006789607,
            -0.25925925925925913,
            0.2662545593628297,
            0.3664679617500176,
            -0.25925925925925913,
            0.22513180277231237,
            0.38993972080122075,
            -0.25925925925925913,
            0.18219298172051893,
            0.40921213689154395,
            -0.25925925925925913,
            0.13784277588645857,
            0.4242364420642915,
            -0.25925925925925913,
            0.09245860245913848,
            0.4349835250095618,
            -0.25925925925925913,
            0.046396907370551875,
            0.44143708627223666,
            -0.25925925925925913,
            1.2565855776484643e-16,
            0.4435890743491778,
            -0.25925925925925913,
            -0.04639690737055182,
            0.4414370862722367,
            -0.25925925925925913,
            -0.09245860245913852,
            0.4349835250095618,
            -0.25925925925925913,
            -0.13784277588645855,
            0.42423644206429156,
            -0.25925925925925913,
            -0.18219298172051882,
            0.409212136891544,
            -0.25925925925925913,
            -0.2251318027723122,
            0.3899397208012208,
            -0.25925925925925913,
            -0.26625455936282966,
            0.3664679617500176,
            -0.25925925925925913,
            -0.3051242134796341,
            0.3388747700678962,
            -0.25925925925925913,
            -0.34126856519737503,
            0.3072795962954377,
            -0.25925925925925913,
            -0.3741813824070198,
            0.2718586875065369,
            -0.25925925925925913,
            -0.40332961730926276,
            0.23286246312565156,
            -0.25925925925925913,
            -0.4281690495481777,
            0.19063314302014056,
            -0.25925925925925913,
            -0.4481700831062762,
            0.14561928726356768,
            -0.25925925925925913,
            -0.4628535112276337,
            0.09838255090344278,
            -0.25925925925925913,
            -0.47183274681332277,
            0.04959162002711774,
            -0.25925925925925913,
            -0.47485515970774456,
            2.6903103780730704e-16,
            -0.25925925925925913,
            -0.47183274681332277,
            -0.04959162002711763,
            -0.25925925925925913,
            -0.4628535112276337,
            -0.09838255090344265,
            -0.25925925925925913,
            -0.44817008310627626,
            -0.1456192872635676,
            -0.25925925925925913,
            -0.4281690495481777,
            -0.19063314302014062,
            -0.25925925925925913,
            -0.4033296173092628,
            -0.23286246312565145,
            -0.25925925925925913,
            -0.37418138240701987,
            -0.2718586875065368,
            -0.25925925925925913,
            -0.3412685651973751,
            -0.3072795962954376,
            -0.25925925925925913,
            -0.30512421347963437,
            -0.33887477006789596,
            -0.25925925925925913,
            -0.26625455936282977,
            -0.36646796175001756,
            -0.25925925925925913,
            -0.2251318027723125,
            -0.3899397208012207,
            -0.25925925925925913,
            -0.18219298172051918,
            -0.4092121368915438,
            -0.25925925925925913,
            -0.13784277588645863,
            -0.4242364420642915,
            -0.25925925925925913,
            -0.09245860245913871,
            -0.4349835250095617,
            -0.25925925925925913,
            -0.04639690737055222,
            -0.44143708627223666,
            -0.25925925925925913,
            -8.148599100576868e-17,
            -0.4435890743491778,
            -0.25925925925925913,
            0.04639690737055167,
            -0.4414370862722367,
            -0.25925925925925913,
            0.09245860245913856,
            -0.4349835250095617,
            -0.25925925925925913,
            0.1378427758864585,
            -0.42423644206429156,
            -0.25925925925925913,
            0.18219298172051865,
            -0.40921213689154406,
            -0.25925925925925913,
            0.22513180277231237,
            -0.38993972080122075,
            -0.25925925925925913,
            0.2662545593628296,
            -0.36646796175001767,
            -0.25925925925925913,
            0.30512421347963437,
            -0.33887477006789596,
            -0.25925925925925913,
            0.3412685651973751,
            -0.30727959629543755,
            -0.25925925925925913,
            0.3741813824070198,
            -0.27185868750653697,
            -0.25925925925925913,
            0.4033296173092628,
            -0.23286246312565143,
            -0.25925925925925913,
            0.4281690495481777,
            -0.19063314302014062,
            -0.25925925925925913,
            0.4481700831062762,
            -0.14561928726356774,
            -0.25925925925925913,
            0.4628535112276337,
            -0.09838255090344263,
            -0.25925925925925913,
            0.4718327468133227,
            -0.0495916200271178,
            -0.25925925925925913,
            0.47485515970774456,
            -5.380620756146141e-16,
            -0.3090379381338244,
            0.4736124928623244,
            0,
            -0.3089933034330084,
            0.47059564965179884,
            0.049461595876006514,
            -0.30886283752687893,
            0.4616333580434575,
            0.09812319933790356,
            -0.30865629143834683,
            0.44697884172612995,
            0.14523222947619047,
            -0.30838822540380323,
            0.4270193655524572,
            0.1901212707262057,
            -0.30807602530689066,
            0.4022345952186062,
            0.2322302518268424,
            -0.3077379469571038,
            0.3731541560947925,
            0.2711123639048176,
            -0.3073915494397239,
            0.3403217985990124,
            0.3064271238212658,
            -0.30705266270340437,
            0.30426965141506557,
            0.3379256827442878,
            -0.30673485943819884,
            0.2655026941433598,
            0.3654331080553082,
            -0.30644930994451586,
            0.2244916704163842,
            0.38883097903718444,
            -0.30620487912245287,
            0.1816720685137191,
            0.4080421466730591,
            -0.30600834532507426,
            0.13744700229555432,
            0.42301837619911675,
            -0.3058646545005903,
            0.09219235077788987,
            0.43373090933326036,
            -0.30577715443949294,
            0.04626306528318873,
            0.44016366387374983,
            -0.305747777375948,
            1.252958584486867e-16,
            0.4423087042989068,
            -0.30577715443949294,
            -0.04626306528318867,
            0.4401636638737499,
            -0.3058646545005903,
            -0.09219235077788993,
            0.43373090933326036,
            -0.30600834532507426,
            -0.13744700229555426,
            0.4230183761991168,
            -0.30620487912245287,
            -0.18167206851371895,
            0.40804214667305916,
            -0.30644930994451586,
            -0.22449167041638407,
            0.38883097903718444,
            -0.30673485943819884,
            -0.26550269414335975,
            0.3654331080553082,
            -0.30705266270340437,
            -0.30426965141506546,
            0.3379256827442879,
            -0.3073915494397239,
            -0.3403217985990124,
            0.3064271238212659,
            -0.3077379469571038,
            -0.37315415609479247,
            0.27111236390481763,
            -0.30807602530689066,
            -0.4022345952186062,
            0.2322302518268424,
            -0.30838822540380323,
            -0.42701936555245723,
            0.19012127072620563,
            -0.30865629143834683,
            -0.44697884172612995,
            0.1452322294761905,
            -0.30886283752687893,
            -0.4616333580434575,
            0.09812319933790356,
            -0.3089933034330084,
            -0.4705956496517989,
            0.04946159587600644,
            -0.3090379381338244,
            -0.4736124928623244,
            2.6832700007235246e-16,
            -0.3089933034330084,
            -0.4705956496517989,
            -0.04946159587600633,
            -0.30886283752687893,
            -0.4616333580434575,
            -0.09812319933790344,
            -0.30865629143834683,
            -0.44697884172613,
            -0.1452322294761904,
            -0.30838822540380323,
            -0.4270193655524572,
            -0.19012127072620572,
            -0.30807602530689066,
            -0.4022345952186063,
            -0.23223025182684232,
            -0.3077379469571038,
            -0.3731541560947925,
            -0.2711123639048175,
            -0.3073915494397239,
            -0.3403217985990124,
            -0.3064271238212658,
            -0.30705266270340437,
            -0.3042696514150657,
            -0.33792568274428775,
            -0.30673485943819884,
            -0.26550269414335986,
            -0.36543310805530815,
            -0.30644930994451586,
            -0.22449167041638435,
            -0.3888309790371844,
            -0.30620487912245287,
            -0.18167206851371934,
            -0.408042146673059,
            -0.30600834532507426,
            -0.13744700229555437,
            -0.42301837619911675,
            -0.3058646545005903,
            -0.09219235077789012,
            -0.4337309093332603,
            -0.30577715443949294,
            -0.046263065283189075,
            -0.44016366387374983,
            -0.305747777375948,
            -8.125079084320039e-17,
            -0.4423087042989068,
            -0.30577715443949294,
            0.04626306528318852,
            -0.4401636638737499,
            -0.3058646545005903,
            0.09219235077788997,
            -0.4337309093332603,
            -0.30600834532507426,
            0.1374470022955542,
            -0.4230183761991168,
            -0.30620487912245287,
            0.1816720685137188,
            -0.4080421466730592,
            -0.30644930994451586,
            0.2244916704163842,
            -0.38883097903718444,
            -0.30673485943819884,
            0.2655026941433597,
            -0.36543310805530826,
            -0.30705266270340437,
            0.3042696514150657,
            -0.33792568274428775,
            -0.3073915494397239,
            0.3403217985990124,
            -0.30642712382126575,
            -0.3077379469571038,
            0.37315415609479247,
            -0.2711123639048177,
            -0.30807602530689066,
            0.4022345952186063,
            -0.2322302518268423,
            -0.30838822540380323,
            0.42701936555245723,
            -0.1901212707262057,
            -0.30865629143834683,
            0.44697884172612995,
            -0.14523222947619055,
            -0.30886283752687893,
            0.4616333580434575,
            -0.0981231993379034,
            -0.3089933034330084,
            0.47059564965179884,
            -0.049461595876006494,
            -0.3090379381338244,
            0.4736124928623244,
            -5.366540001447049e-16,
            -0.3586275406863271,
            0.4674910087289121,
            0,
            -0.35853961957965974,
            0.46451867372587013,
            0.04882287996858385,
            -0.35828260401106327,
            0.4556878711464128,
            0.09685944708561357,
            -0.3578756371964478,
            0.4412460764029024,
            0.1433695411087928,
            -0.35734732111293194,
            0.4215720401729993,
            0.18769596520906187,
            -0.35673183768572747,
            0.3971353715287247,
            0.22928621365683116,
            -0.35606511718055506,
            0.36845526479185825,
            0.26769841953876133,
            -0.35538176033486824,
            0.3360655569747985,
            0.3025947866493147,
            -0.3547130013027414,
            0.30048952519250927,
            0.3337274272538829,
            -0.35408565678721393,
            0.2622245935718677,
            0.3609211896952202,
            -0.35352182702016255,
            0.2217352572423494,
            0.3840567313731039,
            -0.35303907433595555,
            0.17945193915857538,
            0.40305565449858216,
            -0.35265084407065356,
            0.1357736811867157,
            0.4178684233700363,
            -0.35236695765881937,
            0.0910730717993765,
            0.42846511575004004,
            -0.35219406897284866,
            0.04570234278871172,
            0.43482874570361474,
            -0.3521360208708535,
            1.237780902795526e-16,
            0.4369508091487588,
            -0.35219406897284866,
            -0.045702342788711665,
            0.4348287457036148,
            -0.35236695765881937,
            -0.09107307179937654,
            0.42846511575004004,
            -0.35265084407065356,
            -0.13577368118671565,
            0.4178684233700363,
            -0.35303907433595555,
            -0.17945193915857527,
            0.4030556544985822,
            -0.3535218270201621,
            -0.2217352572423482,
            0.38405673137310214,
            -0.35408565678721393,
            -0.26222459357186767,
            0.3609211896952202,
            -0.3547130013027414,
            -0.3004895251925091,
            0.33372742725388294,
            -0.35538176033486824,
            -0.33606555697479845,
            0.30259478664931483,
            -0.35606511718055506,
            -0.3684552647918582,
            0.2676984195387614,
            -0.35673183768572747,
            -0.3971353715287247,
            0.22928621365683116,
            -0.35734732111293194,
            -0.4215720401729994,
            0.18769596520906182,
            -0.3578756371964478,
            -0.4412460764029024,
            0.14336954110879285,
            -0.35828260401106327,
            -0.4556878711464128,
            0.09685944708561357,
            -0.35853961957965974,
            -0.4645186737258702,
            0.048822879968583775,
            -0.3586275406863271,
            -0.4674910087289121,
            2.648588494254343e-16,
            -0.35853961957965974,
            -0.4645186737258702,
            -0.048822879968583664,
            -0.35828260401106327,
            -0.4556878711464128,
            -0.09685944708561346,
            -0.3578756371964478,
            -0.4412460764029024,
            -0.14336954110879274,
            -0.35734732111293194,
            -0.4215720401729993,
            -0.1876959652090619,
            -0.35673183768572747,
            -0.39713537152872475,
            -0.22928621365683108,
            -0.35606511718055506,
            -0.36845526479185825,
            -0.2676984195387613,
            -0.35538176033486824,
            -0.3360655569747985,
            -0.3025947866493147,
            -0.3547130013027414,
            -0.3004895251925094,
            -0.33372742725388277,
            -0.35408565678721393,
            -0.2622245935718678,
            -0.36092118969522013,
            -0.3535218270201621,
            -0.2217352572423485,
            -0.38405673137310203,
            -0.35303907433595555,
            -0.17945193915857563,
            -0.403055654498582,
            -0.35265084407065356,
            -0.13577368118671576,
            -0.4178684233700363,
            -0.35236695765881937,
            -0.09107307179937674,
            -0.42846511575004,
            -0.35219406897284866,
            -0.04570234278871206,
            -0.43482874570361474,
            -0.3521360208708535,
            -8.026656147133101e-17,
            -0.4369508091487588,
            -0.35219406897284866,
            0.04570234278871151,
            -0.4348287457036148,
            -0.35236695765881937,
            0.09107307179937657,
            -0.42846511575004,
            -0.35265084407065356,
            0.1357736811867156,
            -0.4178684233700363,
            -0.35303907433595555,
            0.17945193915857513,
            -0.40305565449858227,
            -0.35352182702016255,
            0.2217352572423494,
            -0.3840567313731039,
            -0.35408565678721393,
            0.2622245935718676,
            -0.36092118969522025,
            -0.3547130013027414,
            0.3004895251925094,
            -0.33372742725388277,
            -0.35538176033486824,
            0.3360655569747985,
            -0.30259478664931466,
            -0.35606511718055506,
            0.3684552647918582,
            -0.26769841953876145,
            -0.35673183768572747,
            0.39713537152872475,
            -0.22928621365683105,
            -0.35734732111293194,
            0.4215720401729994,
            -0.18769596520906187,
            -0.3578756371964478,
            0.4412460764029024,
            -0.1433695411087929,
            -0.35828260401106327,
            0.4556878711464128,
            -0.09685944708561342,
            -0.35853961957965974,
            0.46451867372587013,
            -0.04882287996858383,
            -0.3586275406863271,
            0.4674910087289121,
            -5.297176988508686e-16,
            -0.40756462664113113,
            0.45643698766591523,
            0,
            -0.40743775114099756,
            0.45354823455640714,
            0.047669840349148826,
            -0.4070667450109977,
            0.4449639071893146,
            0.09457999817941955,
            -0.4064789304776637,
            0.43091948337514685,
            0.14001422763909363,
            -0.4057152142601248,
            0.4117761218754947,
            0.18333454138407407,
            -0.40482462515726236,
            0.38798295775976627,
            0.2240020651035882,
            -0.4038588813501205,
            0.3600383510387337,
            0.2615831737425631,
            -0.402867983847607,
            0.32845679042719295,
            0.29574382247773257,
            -0.40189725725126335,
            0.29374473506151605,
            0.3262365789245053,
            -0.40098578110056265,
            0.2563856865645701,
            0.3528846236550634,
            -0.40016589600192454,
            0.21683301809081748,
            0.3755658040917973,
            -0.39946340388225343,
            0.1755084834512269,
            0.394198507963615,
            -0.3988981298452554,
            0.13280445779890737,
            0.4087300934311829,
            -0.39848460132072183,
            0.08908840125201378,
            0.4191279749355223,
            -0.39823268547299395,
            0.044708519814537266,
            0.42537315172433954,
            -0.3981480911723552,
            1.2108839334388835e-16,
            0.4274558714764366,
            -0.39823268547299395,
            -0.04470851981453721,
            0.4253731517243396,
            -0.39848460132072183,
            -0.08908840125201384,
            0.4191279749355223,
            -0.3988981298452554,
            -0.13280445779890734,
            0.4087300934311829,
            -0.39946340388225343,
            -0.17550848345122677,
            0.394198507963615,
            -0.40016589600192454,
            -0.21683301809081731,
            0.37556580409179735,
            -0.40098578110056265,
            -0.25638568656457006,
            0.3528846236550634,
            -0.40189725725126335,
            -0.2937447350615159,
            0.3262365789245054,
            -0.402867983847607,
            -0.3284567904271929,
            0.2957438224777327,
            -0.4038588813501205,
            -0.36003835103873366,
            0.2615831737425632,
            -0.40482462515726236,
            -0.38798295775976627,
            0.2240020651035882,
            -0.4057152142601248,
            -0.4117761218754947,
            0.183334541384074,
            -0.4064789304776637,
            -0.43091948337514685,
            0.14001422763909369,
            -0.4070667450109977,
            -0.4449639071893146,
            0.09457999817941955,
            -0.40743775114099756,
            -0.4535482345564072,
            0.04766984034914874,
            -0.40756462664113113,
            -0.45643698766591523,
            2.5859615079465135e-16,
            -0.40743775114099756,
            -0.4535482345564072,
            -0.04766984034914864,
            -0.4070667450109977,
            -0.4449639071893146,
            -0.09457999817941942,
            -0.4064789304776637,
            -0.4309194833751469,
            -0.14001422763909357,
            -0.4057152142601248,
            -0.4117761218754947,
            -0.1833345413840741,
            -0.40482462515726236,
            -0.3879829577597663,
            -0.22400206510358808,
            -0.4038588813501205,
            -0.3600383510387337,
            -0.2615831737425631,
            -0.402867983847607,
            -0.32845679042719295,
            -0.29574382247773257,
            -0.40189725725126335,
            -0.2937447350615161,
            -0.3262365789245052,
            -0.40098578110056265,
            -0.25638568656457017,
            -0.35288462365506335,
            -0.40016589600192454,
            -0.21683301809081762,
            -0.37556580409179724,
            -0.39946340388225343,
            -0.17550848345122713,
            -0.39419850796361483,
            -0.3988981298452554,
            -0.13280445779890743,
            -0.4087300934311829,
            -0.39848460132072183,
            -0.08908840125201402,
            -0.4191279749355223,
            -0.39823268547299395,
            -0.0447085198145376,
            -0.42537315172433954,
            -0.3981480911723552,
            -7.852236971705408e-17,
            -0.4274558714764366,
            -0.39823268547299395,
            0.044708519814537065,
            -0.4253731517243396,
            -0.39848460132072183,
            0.08908840125201387,
            -0.4191279749355223,
            -0.3988981298452554,
            0.1328044577989073,
            -0.4087300934311829,
            -0.39946340388225343,
            0.17550848345122663,
            -0.39419850796361505,
            -0.40016589600192454,
            0.21683301809081748,
            -0.3755658040917973,
            -0.40098578110056265,
            0.25638568656457006,
            -0.35288462365506346,
            -0.40189725725126335,
            0.2937447350615161,
            -0.3262365789245052,
            -0.402867983847607,
            0.32845679042719295,
            -0.2957438224777325,
            -0.4038588813501205,
            0.36003835103873366,
            -0.26158317374256324,
            -0.40482462515726236,
            0.3879829577597663,
            -0.22400206510358806,
            -0.4057152142601248,
            0.4117761218754947,
            -0.18333454138407407,
            -0.4064789304776637,
            0.43091948337514685,
            -0.14001422763909374,
            -0.4070667450109977,
            0.4449639071893146,
            -0.0945799981794194,
            -0.40743775114099756,
            0.45354823455640714,
            -0.047669840349148805,
            -0.40756462664113113,
            0.45643698766591523,
            -5.171923015893027e-16,
            -0.45535760810685805,
            0.4404441028136045,
            0,
            -0.45519899247375933,
            0.4376769989997372,
            0.04600170627324362,
            -0.4547349229602379,
            0.4294513308783313,
            0.0912826982961131,
            -0.45399891016595784,
            0.4159849086262553,
            0.13516169014831617,
            -0.4530413052813902,
            0.3976129880165499,
            0.17702870791620726,
            -0.45192275854064257,
            0.37475457055076683,
            0.2163646521875278,
            -0.45070763577009865,
            0.347877383586437,
            0.2527477137067805,
            -0.4494585880932548,
            0.31746752106573495,
            0.2858490399007974,
            -0.4482328138825762,
            0.2840068337089794,
            0.315421543814206,
            -0.4470799877365026,
            0.24795853887367658,
            0.3412856499321772,
            -0.4460415092751767,
            0.20975990112416115,
            0.3633148061376711,
            -0.44515062879217066,
            0.16982021625175353,
            0.38142245065380465,
            -0.44443304983611726,
            0.12852237533038297,
            0.39555119871297856,
            -0.44390770651508304,
            0.08622663395829526,
            0.40566441835917344,
            -0.4435875132196718,
            0.04327562387391908,
            0.411740057520322,
            -0.4434799639226523,
            1.172105035527193e-16,
            0.41376647718852894,
            -0.4435875132196718,
            -0.04327562387391902,
            0.411740057520322,
            -0.44390770651508304,
            -0.0862266339582953,
            0.40566441835917344,
            -0.44443304983611726,
            -0.1285223753303829,
            0.39555119871297856,
            -0.44515062879217066,
            -0.16982021625175342,
            0.3814224506538047,
            -0.4460415092751767,
            -0.209759901124161,
            0.3633148061376711,
            -0.4470799877365026,
            -0.24795853887367658,
            0.3412856499321772,
            -0.4482328138825762,
            -0.2840068337089792,
            0.31542154381420606,
            -0.4494585880932548,
            -0.3174675210657349,
            0.2858490399007975,
            -0.45070763577009865,
            -0.34787738358643694,
            0.25274771370678056,
            -0.45192275854064257,
            -0.37475457055076683,
            0.2163646521875278,
            -0.4530413052813902,
            -0.39761298801654993,
            0.1770287079162072,
            -0.45399891016595784,
            -0.4159849086262553,
            0.13516169014831622,
            -0.4547349229602379,
            -0.4294513308783313,
            0.0912826982961131,
            -0.45519899247375933,
            -0.4376769989997373,
            0.04600170627324355,
            -0.45535760810685805,
            -0.4404441028136045,
            2.495353196730142e-16,
            -0.45519899247375933,
            -0.4376769989997373,
            -0.04600170627324344,
            -0.4547349229602379,
            -0.4294513308783313,
            -0.09128269829611299,
            -0.45399891016595784,
            -0.4159849086262553,
            -0.1351616901483161,
            -0.4530413052813902,
            -0.3976129880165499,
            -0.17702870791620728,
            -0.45192275854064257,
            -0.3747545705507669,
            -0.21636465218752768,
            -0.45070763577009865,
            -0.347877383586437,
            -0.2527477137067805,
            -0.4494585880932548,
            -0.31746752106573495,
            -0.2858490399007974,
            -0.4482328138825762,
            -0.2840068337089795,
            -0.3154215438142059,
            -0.4470799877365026,
            -0.24795853887367664,
            -0.34128564993217714,
            -0.4460415092751767,
            -0.2097599011241613,
            -0.36331480613767103,
            -0.44515062879217066,
            -0.16982021625175375,
            -0.38142245065380453,
            -0.44443304983611726,
            -0.12852237533038302,
            -0.39555119871297856,
            -0.44390770651508304,
            -0.08622663395829548,
            -0.4056644183591734,
            -0.4435875132196718,
            -0.0432756238739194,
            -0.411740057520322,
            -0.4434799639226523,
            -7.600766878251124e-17,
            -0.41376647718852894,
            -0.4435875132196718,
            0.04327562387391889,
            -0.411740057520322,
            -0.44390770651508304,
            0.08622663395829533,
            -0.4056644183591734,
            -0.44443304983611726,
            0.12852237533038288,
            -0.39555119871297856,
            -0.44515062879217066,
            0.16982021625175325,
            -0.3814224506538047,
            -0.4460415092751767,
            0.20975990112416115,
            -0.3633148061376711,
            -0.4470799877365026,
            0.24795853887367653,
            -0.34128564993217725,
            -0.4482328138825762,
            0.2840068337089795,
            -0.3154215438142059,
            -0.4494585880932548,
            0.31746752106573495,
            -0.28584903990079735,
            -0.45070763577009865,
            0.34787738358643694,
            -0.2527477137067806,
            -0.45192275854064257,
            0.3747545705507669,
            -0.21636465218752768,
            -0.4530413052813902,
            0.39761298801654993,
            -0.17702870791620726,
            -0.45399891016595784,
            0.4159849086262553,
            -0.13516169014831625,
            -0.4547349229602379,
            0.4294513308783313,
            -0.09128269829611295,
            -0.45519899247375933,
            0.4376769989997372,
            -0.0460017062732436,
            -0.45535760810685805,
            0.4404441028136045,
            -4.990706393460284e-16,
            -0.5014922297457917,
            0.41955981215100674,
            0,
            -0.5013115778979703,
            0.41695023551083127,
            0.043823235647209614,
            -0.5007826371439392,
            0.40918923088166326,
            0.08697585598860716,
            -0.49994253659103133,
            0.39647231756026813,
            0.12882166498643866,
            -0.4988473467137655,
            0.3791019432736334,
            0.16878705980163106,
            -0.4975650858011853,
            0.3574587398128893,
            0.206378899655156,
            -0.4961685618838528,
            0.3319711831395428,
            0.2411911826231341,
            -0.4947293268611699,
            0.3030887342250442,
            0.27290232207734294,
            -0.4933133698552491,
            0.2712612729248419,
            0.3012661644988267,
            -0.4919785889127429,
            0.23692548041192826,
            0.3260999477379252,
            -0.49077372044516565,
            0.2004974047304615,
            0.34727169177885975,
            -0.4897382763050578,
            0.16236982416964774,
            0.36468859605739024,
            -0.48890306106599163,
            0.12291297189617338,
            0.3782872301101374,
            -0.4882909329437419,
            0.08247742326923944,
            0.38802576886466306,
            -0.4879175739869851,
            0.041398269867283066,
            0.393878227291592,
            -0.48779212130989513,
            1.1212966273974705e-16,
            0.39583052827083093,
            -0.4879175739869851,
            -0.04139826986728302,
            0.39387822729159205,
            -0.4882909329437419,
            -0.0824774232692395,
            0.38802576886466306,
            -0.48890306106599163,
            -0.12291297189617333,
            0.37828723011013743,
            -0.4897382763050578,
            -0.16236982416964763,
            0.3646885960573903,
            -0.49077372044516565,
            -0.20049740473046135,
            0.3472716917788598,
            -0.4919785889127429,
            -0.2369254804119282,
            0.3260999477379252,
            -0.4933133698552491,
            -0.27126127292484176,
            0.3012661644988268,
            -0.4947293268611699,
            -0.3030887342250441,
            0.27290232207734305,
            -0.4961685618838528,
            -0.33197118313954277,
            0.24119118262313416,
            -0.4975650858011853,
            -0.3574587398128893,
            0.206378899655156,
            -0.4988473467137655,
            -0.37910194327363345,
            0.168787059801631,
            -0.49994253659103133,
            -0.39647231756026813,
            0.1288216649864387,
            -0.5007826371439392,
            -0.40918923088166326,
            0.08697585598860716,
            -0.5013115778979703,
            -0.4169502355108313,
            0.043823235647209545,
            -0.5014922297457917,
            -0.41955981215100674,
            2.3770324356314085e-16,
            -0.5013115778979703,
            -0.4169502355108313,
            -0.04382323564720944,
            -0.5007826371439392,
            -0.40918923088166326,
            -0.08697585598860706,
            -0.49994253659103133,
            -0.39647231756026813,
            -0.12882166498643863,
            -0.4988473467137655,
            -0.3791019432736334,
            -0.16878705980163108,
            -0.4975650858011853,
            -0.35745873981288934,
            -0.2063788996551559,
            -0.4961685618838528,
            -0.3319711831395428,
            -0.24119118262313405,
            -0.4947293268611699,
            -0.3030887342250442,
            -0.27290232207734294,
            -0.4933133698552491,
            -0.27126127292484203,
            -0.3012661644988266,
            -0.4919785889127429,
            -0.2369254804119283,
            -0.32609994773792517,
            -0.49077372044516565,
            -0.2004974047304616,
            -0.3472716917788597,
            -0.4897382763050578,
            -0.16236982416964796,
            -0.3646885960573901,
            -0.48890306106599163,
            -0.12291297189617342,
            -0.3782872301101374,
            -0.4882909329437419,
            -0.08247742326923968,
            -0.388025768864663,
            -0.4879175739869851,
            -0.04139826986728338,
            -0.393878227291592,
            -0.48779212130989513,
            -7.271288841775184e-17,
            -0.39583052827083093,
            -0.4879175739869851,
            0.04139826986728288,
            -0.39387822729159205,
            -0.4882909329437419,
            0.08247742326923953,
            -0.388025768864663,
            -0.48890306106599163,
            0.1229129718961733,
            -0.37828723011013743,
            -0.4897382763050578,
            0.1623698241696475,
            -0.36468859605739035,
            -0.49077372044516565,
            0.2004974047304615,
            -0.34727169177885975,
            -0.4919785889127429,
            0.23692548041192815,
            -0.3260999477379253,
            -0.4933133698552491,
            0.27126127292484203,
            -0.3012661644988266,
            -0.4947293268611699,
            0.3030887342250442,
            -0.2729023220773429,
            -0.4961685618838528,
            0.33197118313954277,
            -0.24119118262313416,
            -0.4975650858011853,
            0.35745873981288934,
            -0.20637889965515588,
            -0.4988473467137655,
            0.37910194327363345,
            -0.16878705980163106,
            -0.49994253659103133,
            0.39647231756026813,
            -0.12882166498643877,
            -0.5007826371439392,
            0.40918923088166326,
            -0.08697585598860702,
            -0.5013115778979703,
            0.41695023551083127,
            -0.0438232356472096,
            -0.5014922297457917,
            0.41955981215100674,
            -4.754064871262817e-16,
            -0.5454382301276293,
            0.3938915615222712,
            0,
            -0.5452470378201169,
            0.39147207028245357,
            0.04114537257490843,
            -0.5446867019502994,
            0.3842722999551196,
            0.0816795988234916,
            -0.5437951240484282,
            0.37246228251819447,
            0.12102033169402666,
            -0.5426299107100834,
            0.35630670123719854,
            0.15863796415845924,
            -0.5412615776372605,
            0.33614160524358794,
            0.19407144627321837,
            -0.5397664414598503,
            0.3123493377153464,
            0.226935077444508,
            -0.5382204321176465,
            0.2853357430953935,
            0.2569174570658218,
            -0.5366944937853821,
            0.25551209949599396,
            0.2837749353905328,
            -0.5352516959105504,
            0.22328257156984568,
            0.30732209466504645,
            -0.5339458117964118,
            0.18903680235434606,
            0.3274213461780832,
            -0.5328209638710719,
            0.15314667086780828,
            0.34397305457010274,
            -0.5319119261425768,
            0.11596610574181682,
            0.35690697451191417,
            -0.5312447429549247,
            0.0778329686333718,
            0.3661753277426533,
            -0.5308374143003045,
            0.03907224437561836,
            0.3717475730340817,
            -0.5307004816974434,
            1.0583419035157315e-16,
            0.37360679103451105,
            -0.5308374143003045,
            -0.03907224437561831,
            0.37174757303408174,
            -0.5312447429549247,
            -0.07783296863337184,
            0.3661753277426533,
            -0.5319119261425768,
            -0.11596610574181676,
            0.35690697451191417,
            -0.5328209638710719,
            -0.1531466708678082,
            0.3439730545701028,
            -0.5339458117964118,
            -0.18903680235434592,
            0.3274213461780833,
            -0.5352516959105504,
            -0.22328257156984563,
            0.30732209466504645,
            -0.5366944937853821,
            -0.2555120994959938,
            0.2837749353905329,
            -0.5382204321176465,
            -0.28533574309539345,
            0.25691745706582186,
            -0.5397664414598503,
            -0.31234933771534634,
            0.22693507744450803,
            -0.5412615776372605,
            -0.33614160524358794,
            0.19407144627321837,
            -0.5426299107100834,
            -0.3563067012371986,
            0.1586379641584592,
            -0.5437951240484282,
            -0.37246228251819447,
            0.1210203316940267,
            -0.5446867019502994,
            -0.3842722999551196,
            0.0816795988234916,
            -0.5452470378201169,
            -0.3914720702824536,
            0.041145372574908363,
            -0.5454382301276293,
            -0.3938915615222712,
            2.2316079632597304e-16,
            -0.5452470378201169,
            -0.3914720702824536,
            -0.04114537257490827,
            -0.5446867019502994,
            -0.3842722999551196,
            -0.0816795988234915,
            -0.5437951240484282,
            -0.37246228251819447,
            -0.12102033169402662,
            -0.5426299107100834,
            -0.35630670123719854,
            -0.15863796415845927,
            -0.5412615776372605,
            -0.336141605243588,
            -0.1940714462732183,
            -0.5397664414598503,
            -0.3123493377153464,
            -0.22693507744450794,
            -0.5382204321176465,
            -0.2853357430953935,
            -0.2569174570658218,
            -0.5366944937853821,
            -0.255512099495994,
            -0.2837749353905327,
            -0.5352516959105504,
            -0.2232825715698457,
            -0.3073220946650464,
            -0.5339458117964118,
            -0.18903680235434617,
            -0.32742134617808316,
            -0.5328209638710719,
            -0.1531466708678085,
            -0.3439730545701026,
            -0.5319119261425768,
            -0.11596610574181684,
            -0.35690697451191417,
            -0.5312447429549247,
            -0.07783296863337201,
            -0.36617532774265327,
            -0.5308374143003045,
            -0.03907224437561865,
            -0.3717475730340817,
            -0.5307004816974434,
            -6.863045411701919e-17,
            -0.37360679103451105,
            -0.5308374143003045,
            0.03907224437561818,
            -0.37174757303408174,
            -0.5312447429549247,
            0.07783296863337189,
            -0.36617532774265327,
            -0.5319119261425768,
            0.11596610574181672,
            -0.35690697451191417,
            -0.5328209638710719,
            0.15314667086780806,
            -0.3439730545701028,
            -0.5339458117964118,
            0.18903680235434606,
            -0.3274213461780832,
            -0.5352516959105504,
            0.2232825715698456,
            -0.3073220946650465,
            -0.5366944937853821,
            0.255512099495994,
            -0.2837749353905327,
            -0.5382204321176465,
            0.2853357430953935,
            -0.25691745706582175,
            -0.5397664414598503,
            0.31234933771534634,
            -0.22693507744450808,
            -0.5412615776372605,
            0.336141605243588,
            -0.19407144627321826,
            -0.5426299107100834,
            0.3563067012371986,
            -0.15863796415845924,
            -0.5437951240484282,
            0.37246228251819447,
            -0.12102033169402676,
            -0.5446867019502994,
            0.3842722999551196,
            -0.08167959882349148,
            -0.5452470378201169,
            0.39147207028245357,
            -0.04114537257490841,
            -0.5454382301276293,
            0.3938915615222712,
            -4.463215926519461e-16,
            -0.5866574516967884,
            0.3636125298535765,
            0,
            -0.5864680247394047,
            0.36141139490349145,
            0.03798586827763286,
            -0.585912241788211,
            0.35485717013010837,
            0.0754272199668099,
            -0.5850260198361575,
            0.34409285742450296,
            0.11180254671028225,
            -0.5838643684531035,
            0.3293427266454233,
            0.14663282920027038,
            -0.5824953532437174,
            0.31089450406555313,
            0.17949502561182226,
            -0.5809936155599635,
            0.2890797343369717,
            0.21002872098030156,
            -0.5794345253664146,
            0.26425535709241504,
            0.23793659225338043,
            -0.5778896155846531,
            0.23678850054323491,
            0.2629802720709558,
            -0.5764234950999603,
            0.2070453387702795,
            0.28497346100124205,
            -0.5750921060496201,
            0.17538395611975308,
            0.3037739228318428,
            -0.5739420189275034,
            0.1421506379406626,
            0.319275560248672,
            -0.5730104173730248,
            0.10767881427896359,
            0.33140131400891776,
            -0.5723254609157895,
            0.07228990555574627,
            0.34009726628891795,
            -0.5719067825789512,
            0.03629544465510535,
            0.3453280884767375,
            -0.5717659502139509,
            9.831801759396599e-17,
            0.3470738419421398,
            -0.5719067825789512,
            -0.036295444655105306,
            0.3453280884767375,
            -0.5723254609157895,
            -0.07228990555574631,
            0.34009726628891795,
            -0.5730104173730248,
            -0.10767881427896354,
            0.3314013140089178,
            -0.5739420189275034,
            -0.14215063794066254,
            0.319275560248672,
            -0.5750921060496201,
            -0.17538395611975297,
            0.30377392283184285,
            -0.5764234950999603,
            -0.20704533877027945,
            0.28497346100124205,
            -0.5778896155846531,
            -0.2367885005432348,
            0.2629802720709559,
            -0.5794345253664146,
            -0.26425535709241504,
            0.2379365922533805,
            -0.5809936155599635,
            -0.28907973433697165,
            0.2100287209803016,
            -0.5824953532437174,
            -0.31089450406555313,
            0.17949502561182226,
            -0.5838643684531035,
            -0.3293427266454233,
            0.14663282920027035,
            -0.5850260198361575,
            -0.34409285742450296,
            0.1118025467102823,
            -0.585912241788211,
            -0.35485717013010837,
            0.0754272199668099,
            -0.5864680247394047,
            -0.36141139490349145,
            0.037985868277632805,
            -0.5866574516967884,
            -0.3636125298535765,
            2.0600609315576248e-16,
            -0.5864680247394047,
            -0.36141139490349145,
            -0.037985868277632714,
            -0.585912241788211,
            -0.35485717013010837,
            -0.0754272199668098,
            -0.5850260198361575,
            -0.344092857424503,
            -0.11180254671028221,
            -0.5838643684531035,
            -0.3293427266454233,
            -0.1466328292002704,
            -0.5824953532437174,
            -0.3108945040655532,
            -0.17949502561182218,
            -0.5809936155599635,
            -0.2890797343369717,
            -0.2100287209803015,
            -0.5794345253664146,
            -0.26425535709241504,
            -0.23793659225338043,
            -0.5778896155846531,
            -0.236788500543235,
            -0.26298027207095576,
            -0.5764234950999603,
            -0.20704533877027953,
            -0.284973461001242,
            -0.5750921060496201,
            -0.17538395611975321,
            -0.30377392283184274,
            -0.5739420189275034,
            -0.14215063794066282,
            -0.3192755602486719,
            -0.5730104173730248,
            -0.10767881427896363,
            -0.33140131400891776,
            -0.5723254609157895,
            -0.07228990555574646,
            -0.3400972662889179,
            -0.5719067825789512,
            -0.036295444655105626,
            -0.3453280884767375,
            -0.5717659502139509,
            -6.375643044033237e-17,
            -0.3470738419421398,
            -0.5719067825789512,
            0.03629544465510519,
            -0.3453280884767375,
            -0.5723254609157895,
            0.07228990555574635,
            -0.3400972662889179,
            -0.5730104173730248,
            0.1076788142789635,
            -0.3314013140089178,
            -0.5739420189275034,
            0.1421506379406624,
            -0.31927556024867204,
            -0.5750921060496201,
            0.17538395611975308,
            -0.3037739228318428,
            -0.5764234950999603,
            0.20704533877027942,
            -0.28497346100124205,
            -0.5778896155846531,
            0.236788500543235,
            -0.26298027207095576,
            -0.5794345253664146,
            0.26425535709241504,
            -0.23793659225338037,
            -0.5809936155599635,
            0.28907973433697165,
            -0.21002872098030165,
            -0.5824953532437174,
            0.3108945040655532,
            -0.17949502561182218,
            -0.5838643684531035,
            0.3293427266454233,
            -0.14663282920027038,
            -0.5850260198361575,
            0.34409285742450296,
            -0.11180254671028234,
            -0.585912241788211,
            0.35485717013010837,
            -0.07542721996680977,
            -0.5864680247394047,
            0.36141139490349145,
            -0.037985868277632846,
            -0.5866574516967884,
            0.3636125298535765,
            -4.1201218631152495e-16,
            -0.624613594952985,
            0.32896652146038147,
            0,
            -0.6244378495322844,
            0.327007033413538,
            0.03436982417342742,
            -0.623921569735209,
            0.3211683276637256,
            0.06826643544551254,
            -0.6230963833323565,
            0.3115665122619525,
            0.10123409652049968,
            -0.6220111486779802,
            0.2983852031243408,
            0.13284965170257076,
            -0.6207270584583899,
            0.28186274922774834,
            0.16273353414116845,
            -0.6193122251229755,
            0.26227776507961315,
            0.1905559504805383,
            -0.6178365930919201,
            0.2399350688139912,
            0.2160385063289982,
            -0.6163677441140488,
            0.21515354258683855,
            0.23895221700677863,
            -0.6149678361468726,
            0.18825670773270375,
            0.2591131289307192,
            -0.6136916490995825,
            0.15956617862118794,
            0.27637672854150824,
            -0.6125855474330204,
            0.12939773903441978,
            0.2906320803313677,
            -0.6116871044373403,
            0.09805957703233631,
            0.30179634589479,
            -0.611025136429456,
            0.0658521647450514,
            0.30981007703390456,
            -0.6106199350615444,
            0.03306931175716632,
            0.3146334843079883,
            -0.6104835386017435,
            8.958456661724452e-17,
            0.31624376157556733,
            -0.6106199350615444,
            -0.033069311757166285,
            0.3146334843079884,
            -0.611025136429456,
            -0.06585216474505144,
            0.30981007703390456,
            -0.6116871044373403,
            -0.09805957703233627,
            0.30179634589479004,
            -0.6125855474330204,
            -0.1293977390344197,
            0.2906320803313678,
            -0.6136916490995825,
            -0.15956617862118783,
            0.2763767285415083,
            -0.6149678361468726,
            -0.1882567077327037,
            0.2591131289307192,
            -0.6163677441140488,
            -0.21515354258683847,
            0.23895221700677868,
            -0.6178365930919201,
            -0.23993506881399115,
            0.21603850632899826,
            -0.6193122251229755,
            -0.26227776507961315,
            0.19055595048053833,
            -0.6207270584583899,
            -0.28186274922774834,
            0.16273353414116845,
            -0.6220111486779802,
            -0.29838520312434086,
            0.13284965170257074,
            -0.6230963833323565,
            -0.3115665122619525,
            0.10123409652049971,
            -0.623921569735209,
            -0.3211683276637256,
            0.06826643544551254,
            -0.6244378495322844,
            -0.32700703341353804,
            0.03436982417342736,
            -0.624613594952985,
            -0.32896652146038147,
            1.86377262335774e-16,
            -0.6244378495322844,
            -0.32700703341353804,
            -0.03436982417342729,
            -0.623921569735209,
            -0.3211683276637256,
            -0.06826643544551247,
            -0.6230963833323565,
            -0.31156651226195253,
            -0.10123409652049964,
            -0.6220111486779802,
            -0.2983852031243408,
            -0.1328496517025708,
            -0.6207270584583899,
            -0.28186274922774834,
            -0.1627335341411684,
            -0.6193122251229755,
            -0.26227776507961315,
            -0.19055595048053825,
            -0.6178365930919201,
            -0.2399350688139912,
            -0.2160385063289982,
            -0.6163677441140488,
            -0.2151535425868386,
            -0.23895221700677854,
            -0.6149678361468726,
            -0.18825670773270378,
            -0.2591131289307192,
            -0.6136916490995825,
            -0.15956617862118805,
            -0.2763767285415082,
            -0.6125855474330204,
            -0.12939773903441995,
            -0.2906320803313676,
            -0.6116871044373403,
            -0.09805957703233635,
            -0.30179634589479,
            -0.611025136429456,
            -0.06585216474505158,
            -0.30981007703390456,
            -0.6106199350615444,
            -0.03306931175716657,
            -0.3146334843079883,
            -0.6104835386017435,
            -5.809303655457558e-17,
            -0.31624376157556733,
            -0.6106199350615444,
            0.033069311757166174,
            -0.3146334843079884,
            -0.611025136429456,
            0.06585216474505147,
            -0.30981007703390456,
            -0.6116871044373403,
            0.09805957703233624,
            -0.30179634589479004,
            -0.6125855474330204,
            0.1293977390344196,
            -0.29063208033136784,
            -0.6136916490995825,
            0.15956617862118794,
            -0.27637672854150824,
            -0.6149678361468726,
            0.18825670773270367,
            -0.25911312893071925,
            -0.6163677441140488,
            0.2151535425868386,
            -0.23895221700677854,
            -0.6178365930919201,
            0.2399350688139912,
            -0.21603850632899815,
            -0.6193122251229755,
            0.26227776507961315,
            -0.19055595048053836,
            -0.6207270584583899,
            0.28186274922774834,
            -0.16273353414116837,
            -0.6220111486779802,
            0.29838520312434086,
            -0.13284965170257076,
            -0.6230963833323565,
            0.3115665122619525,
            -0.10123409652049975,
            -0.623921569735209,
            0.3211683276637256,
            -0.06826643544551245,
            -0.6244378495322844,
            0.327007033413538,
            -0.034369824173427405,
            -0.624613594952985,
            0.32896652146038147,
            -3.72754524671548e-16,
            -0.6587836893479836,
            0.29027148943656295,
            0,
            -0.6586318499879257,
            0.2885716384255061,
            0.03033010137607611,
            -0.6581852179747204,
            0.28350304779823216,
            0.06026043306296416,
            -0.6574695663881649,
            0.27515655489080665,
            0.0894037842316139,
            -0.6565250757894439,
            0.26367709192488625,
            0.11739660498369513,
            -0.6554027286611201,
            0.24925516889082117,
            0.1439075388560212,
            -0.6541601905740373,
            0.23211694354338952,
            0.16864283095489188,
            -0.6528577659922817,
            0.21251419336730606,
            0.19134863917861558,
            -0.6515548665526344,
            0.19071523221568673,
            0.21181072366729733,
            -0.6503072287088374,
            0.16699741980241573,
            0.22985222938137972,
            -0.6491649322585321,
            0.1416415266722617,
            0.2453303206579795,
            -0.6481711390572025,
            0.11492792086891379,
            0.25813233661993407,
            -0.6473614002570542,
            0.08713435953922244,
            0.2681719838761744,
            -0.6467633600244835,
            0.058535085059336564,
            0.2753859236310374,
            -0.646396696573432,
            0.029400910309817993,
            0.27973097597351865,
            -0.6462731716676606,
            7.965239669561064e-17,
            0.2811820662944453,
            -0.646396696573432,
            -0.029400910309817955,
            0.27973097597351865,
            -0.6467633600244835,
            -0.0585350850593366,
            0.2753859236310374,
            -0.6473614002570542,
            -0.0871343595392224,
            0.2681719838761744,
            -0.6481711390572025,
            -0.11492792086891371,
            0.25813233661993407,
            -0.6491649322585321,
            -0.14164152667226163,
            0.24533032065797955,
            -0.6503072287088374,
            -0.16699741980241567,
            0.22985222938137972,
            -0.6515548665526344,
            -0.19071523221568662,
            0.2118107236672974,
            -0.6528577659922817,
            -0.21251419336730604,
            0.19134863917861564,
            -0.6541601905740373,
            -0.2321169435433895,
            0.1686428309548919,
            -0.6554027286611201,
            -0.24925516889082117,
            0.1439075388560212,
            -0.6565250757894439,
            -0.26367709192488625,
            0.11739660498369509,
            -0.6574695663881649,
            -0.27515655489080665,
            0.08940378423161392,
            -0.6581852179747204,
            -0.28350304779823216,
            0.06026043306296416,
            -0.6586318499879257,
            -0.2885716384255061,
            0.03033010137607606,
            -0.6587836893479836,
            -0.29027148943656295,
            1.644544414281062e-16,
            -0.6586318499879257,
            -0.2885716384255061,
            -0.030330101376075995,
            -0.6581852179747204,
            -0.28350304779823216,
            -0.06026043306296408,
            -0.6574695663881649,
            -0.27515655489080665,
            -0.08940378423161385,
            -0.6565250757894439,
            -0.26367709192488625,
            -0.11739660498369514,
            -0.6554027286611201,
            -0.24925516889082117,
            -0.14390753885602114,
            -0.6541601905740373,
            -0.23211694354338952,
            -0.16864283095489183,
            -0.6528577659922817,
            -0.21251419336730606,
            -0.19134863917861558,
            -0.6515548665526344,
            -0.1907152322156868,
            -0.21181072366729725,
            -0.6503072287088374,
            -0.16699741980241575,
            -0.2298522293813797,
            -0.6491649322585321,
            -0.14164152667226182,
            -0.24533032065797944,
            -0.6481711390572025,
            -0.11492792086891396,
            -0.25813233661993396,
            -0.6473614002570542,
            -0.08713435953922247,
            -0.2681719838761744,
            -0.6467633600244835,
            -0.058535085059336724,
            -0.27538592363103737,
            -0.646396696573432,
            -0.02940091030981821,
            -0.27973097597351865,
            -0.6462731716676606,
            -5.165230761976969e-17,
            -0.2811820662944453,
            -0.646396696573432,
            0.02940091030981786,
            -0.27973097597351865,
            -0.6467633600244835,
            0.05853508505933662,
            -0.27538592363103737,
            -0.6473614002570542,
            0.08713435953922238,
            -0.2681719838761744,
            -0.6481711390572025,
            0.11492792086891362,
            -0.2581323366199341,
            -0.6491649322585321,
            0.1416415266722617,
            -0.2453303206579795,
            -0.6503072287088374,
            0.16699741980241564,
            -0.22985222938137978,
            -0.6515548665526344,
            0.1907152322156868,
            -0.21181072366729725,
            -0.6528577659922817,
            0.21251419336730606,
            -0.19134863917861553,
            -0.6541601905740373,
            0.2321169435433895,
            -0.16864283095489194,
            -0.6554027286611201,
            0.24925516889082117,
            -0.14390753885602112,
            -0.6565250757894439,
            0.26367709192488625,
            -0.11739660498369513,
            -0.6574695663881649,
            0.27515655489080665,
            -0.08940378423161395,
            -0.6581852179747204,
            0.28350304779823216,
            -0.06026043306296406,
            -0.6586318499879257,
            0.2885716384255061,
            -0.030330101376076096,
            -0.6587836893479836,
            0.29027148943656295,
            -3.289088828562124e-16,
            -0.6886711688161287,
            0.24792108157588974,
            0,
            -0.6885505248342735,
            0.24649367168620429,
            0.025907528860407227,
            -0.6881951948758189,
            0.24223461255201278,
            0.051488556361525814,
            -0.6876244190030624,
            0.2352121974412448,
            0.07642507574288364,
            -0.6868684718426727,
            0.22553637115877284,
            0.10041526202027846,
            -0.6859662771104851,
            0.21335350892561292,
            0.12317970581075383,
            -0.6849625879007503,
            0.1988401413676509,
            0.14446581897819644,
            -0.6839050882333356,
            0.18219635883867924,
            0.1640503383546873,
            -0.6828417088118491,
            0.16363953070748696,
            0.18174011072451104,
            -0.6818183485846587,
            0.14339879629525862,
            0.19737151063812267,
            -0.6808770869036957,
            0.12171058314283034,
            0.21080891382221822,
            -0.6800548828626742,
            0.0988152302562492,
            0.22194264097734814,
            -0.6793826997284167,
            0.07495466199543253,
            0.2306867292578783,
            -0.6788849634185548,
            0.050370976002031914,
            0.23697681034297613,
            -0.6785792587950159,
            0.02530576757756155,
            0.24076829552677004,
            -0.6784761784384756,
            6.856293567668771e-17,
            0.24203500113696608,
            -0.6785792587950159,
            -0.025305767577561523,
            0.24076829552677007,
            -0.6788849634185548,
            -0.05037097600203194,
            0.23697681034297613,
            -0.6793826997284167,
            -0.0749546619954325,
            0.23068672925787834,
            -0.6800548828626742,
            -0.09881523025624914,
            0.22194264097734817,
            -0.6808770869036957,
            -0.12171058314283027,
            0.21080891382221825,
            -0.6818183485846587,
            -0.1433987962952586,
            0.19737151063812267,
            -0.6828417088118491,
            -0.16363953070748688,
            0.1817401107245111,
            -0.6839050882333356,
            -0.1821963588386792,
            0.16405033835468735,
            -0.6849625879007503,
            -0.19884014136765088,
            0.14446581897819644,
            -0.6859662771104851,
            -0.21335350892561292,
            0.12317970581075383,
            -0.6868684718426727,
            -0.22553637115877287,
            0.10041526202027845,
            -0.6876244190030624,
            -0.2352121974412448,
            0.07642507574288367,
            -0.6881951948758189,
            -0.24223461255201278,
            0.051488556361525814,
            -0.6885505248342735,
            -0.2464936716862043,
            0.025907528860407186,
            -0.6886711688161287,
            -0.24792108157588974,
            1.4046065312151612e-16,
            -0.6885505248342735,
            -0.2464936716862043,
            -0.025907528860407127,
            -0.6881951948758189,
            -0.24223461255201278,
            -0.05148855636152575,
            -0.6876244190030624,
            -0.23521219744124483,
            -0.07642507574288361,
            -0.6868684718426727,
            -0.22553637115877284,
            -0.10041526202027848,
            -0.6859662771104851,
            -0.21335350892561294,
            -0.12317970581075377,
            -0.6849625879007503,
            -0.1988401413676509,
            -0.1444658189781964,
            -0.6839050882333356,
            -0.18219635883867924,
            -0.1640503383546873,
            -0.6828417088118491,
            -0.16363953070748702,
            -0.181740110724511,
            -0.6818183485846587,
            -0.14339879629525865,
            -0.19737151063812264,
            -0.6808770869036957,
            -0.12171058314283043,
            -0.21080891382221822,
            -0.6800548828626742,
            -0.09881523025624935,
            -0.22194264097734806,
            -0.6793826997284167,
            -0.07495466199543256,
            -0.2306867292578783,
            -0.6788849634185548,
            -0.05037097600203205,
            -0.2369768103429761,
            -0.6785792587950159,
            -0.02530576757756174,
            -0.24076829552677004,
            -0.6784761784384756,
            -4.446110841360172e-17,
            -0.24203500113696608,
            -0.6785792587950159,
            0.025305767577561436,
            -0.24076829552677007,
            -0.6788849634185548,
            0.05037097600203196,
            -0.2369768103429761,
            -0.6793826997284167,
            0.07495466199543248,
            -0.23068672925787834,
            -0.6800548828626742,
            0.09881523025624905,
            -0.2219426409773482,
            -0.6808770869036957,
            0.12171058314283034,
            -0.21080891382221822,
            -0.6818183485846587,
            0.14339879629525856,
            -0.1973715106381227,
            -0.6828417088118491,
            0.16363953070748702,
            -0.181740110724511,
            -0.6839050882333356,
            0.18219635883867924,
            -0.16405033835468727,
            -0.6849625879007503,
            0.19884014136765088,
            -0.14446581897819646,
            -0.6859662771104851,
            0.21335350892561294,
            -0.12317970581075376,
            -0.6868684718426727,
            0.22553637115877287,
            -0.10041526202027846,
            -0.6876244190030624,
            0.2352121974412448,
            -0.0764250757428837,
            -0.6881951948758189,
            0.24223461255201278,
            -0.05148855636152573,
            -0.6885505248342735,
            0.24649367168620429,
            -0.025907528860407217,
            -0.6886711688161287,
            0.24792108157588974,
            -2.8092130624303224e-16,
            -0.7138201954062258,
            0.20238356799333124,
            0,
            -0.7137341053847128,
            0.20123676985939035,
            0.02115083680340615,
            -0.7134802405937674,
            0.1978129513538637,
            0.04204644079357661,
            -0.7130714975609724,
            0.19216118428065374,
            0.06243695362422555,
            -0.7125283487823423,
            0.18436114788264307,
            0.08208287149376178,
            -0.7118774492924433,
            0.1745202284031642,
            0.1007593008476018,
            -0.7111499318394814,
            0.16276992343337093,
            0.11825927165452034,
            -0.7103795722489725,
            0.14926190441810844,
            0.13439602239766246,
            -0.7096009896604836,
            0.1341640700780972,
            0.14900429526915557,
            -0.7088480074983106,
            0.1176568606898586,
            0.16194077587291691,
            -0.7081522529793445,
            0.09993001871910324,
            0.17308386962279573,
            -0.7075420269750747,
            0.08117989438459444,
            0.1823330280894594,
            -0.7070414395877445,
            0.06160731877031599,
            0.18960783074890947,
            -0.7066697830478681,
            0.0414160086652775,
            0.19484700138108518,
            -0.7064411023099237,
            0.020811427220771023,
            0.19800750339094417,
            -0.7063639228956924,
            5.639019121554356e-17,
            0.19906382158616429,
            -0.7064411023099237,
            -0.020811427220771003,
            0.1980075033909442,
            -0.7066697830478681,
            -0.04141600866527752,
            0.19484700138108518,
            -0.7070414395877445,
            -0.061607318770315965,
            0.1896078307489095,
            -0.7075420269750747,
            -0.08117989438459439,
            0.18233302808945942,
            -0.7081522529793445,
            -0.09993001871910318,
            0.17308386962279576,
            -0.7088480074983106,
            -0.11765686068985858,
            0.16194077587291691,
            -0.7096009896604836,
            -0.13416407007809714,
            0.14900429526915562,
            -0.7103795722489725,
            -0.14926190441810844,
            0.13439602239766252,
            -0.7111499318394814,
            -0.1627699234333709,
            0.11825927165452035,
            -0.7118774492924433,
            -0.1745202284031642,
            0.1007593008476018,
            -0.7125283487823423,
            -0.1843611478826431,
            0.08208287149376177,
            -0.7130714975609724,
            -0.19216118428065374,
            0.062436953624225563,
            -0.7134802405937674,
            -0.1978129513538637,
            0.04204644079357661,
            -0.7137341053847128,
            -0.20123676985939037,
            0.021150836803406115,
            -0.7138201954062258,
            -0.20238356799333124,
            1.1466119767110026e-16,
            -0.7137341053847128,
            -0.20123676985939037,
            -0.02115083680340607,
            -0.7134802405937674,
            -0.1978129513538637,
            -0.04204644079357656,
            -0.7130714975609724,
            -0.19216118428065376,
            -0.06243695362422552,
            -0.7125283487823423,
            -0.18436114788264307,
            -0.0820828714937618,
            -0.7118774492924433,
            -0.17452022840316422,
            -0.10075930084760176,
            -0.7111499318394814,
            -0.16276992343337093,
            -0.11825927165452031,
            -0.7103795722489725,
            -0.14926190441810844,
            -0.13439602239766246,
            -0.7096009896604836,
            -0.13416407007809725,
            -0.14900429526915554,
            -0.7088480074983106,
            -0.11765686068985862,
            -0.1619407758729169,
            -0.7081522529793445,
            -0.09993001871910331,
            -0.1730838696227957,
            -0.7075420269750747,
            -0.08117989438459455,
            -0.18233302808945936,
            -0.7070414395877445,
            -0.06160731877031601,
            -0.18960783074890947,
            -0.7066697830478681,
            -0.04141600866527761,
            -0.19484700138108516,
            -0.7064411023099237,
            -0.02081142722077118,
            -0.19800750339094417,
            -0.7063639228956924,
            -3.656743078973038e-17,
            -0.19906382158616429,
            -0.7064411023099237,
            0.02081142722077093,
            -0.1980075033909442,
            -0.7066697830478681,
            0.04141600866527753,
            -0.19484700138108516,
            -0.7070414395877445,
            0.06160731877031594,
            -0.1896078307489095,
            -0.7075420269750747,
            0.08117989438459432,
            -0.18233302808945945,
            -0.7081522529793445,
            0.09993001871910324,
            -0.17308386962279573,
            -0.7088480074983106,
            0.11765686068985855,
            -0.16194077587291694,
            -0.7096009896604836,
            0.13416407007809725,
            -0.14900429526915554,
            -0.7103795722489725,
            0.14926190441810844,
            -0.13439602239766243,
            -0.7111499318394814,
            0.1627699234333709,
            -0.11825927165452038,
            -0.7118774492924433,
            0.17452022840316422,
            -0.10075930084760175,
            -0.7125283487823423,
            0.1843611478826431,
            -0.08208287149376178,
            -0.7130714975609724,
            0.19216118428065374,
            -0.06243695362422559,
            -0.7134802405937674,
            0.1978129513538637,
            -0.04204644079357654,
            -0.7137341053847128,
            0.20123676985939035,
            -0.021150836803406143,
            -0.7138201954062258,
            0.20238356799333124,
            -2.293223953422005e-16,
            -0.7338305908272998,
            0.15419757289393368,
            0,
            -0.733777922795404,
            0.15333584332088987,
            0.016116246551059712,
            -0.7336224519455254,
            0.15076183538622145,
            0.032045417360757104,
            -0.7333716239667275,
            0.14650877793790076,
            0.04760358762303705,
            -0.73303735043533,
            0.1406310356137943,
            0.06261297109990759,
            -0.7326353137179669,
            0.13320267784281375,
            0.0769046019093275,
            -0.7321840880389403,
            0.1243156480915463,
            0.09032060523505687,
            -0.7317041516781984,
            0.1140776733161459,
            0.10271599841794557,
            -0.7312168647352719,
            0.10261005555421292,
            0.11396001184582757,
            -0.7307434774901298,
            0.0900454731025099,
            0.12393696119856797,
            -0.730304219398853,
            0.07652589268029918,
            0.13254673421684138,
            -0.7299175017908945,
            0.06220066205343983,
            0.13970497433321433,
            -0.7295992514705107,
            0.04722481989192928,
            0.14534305072745718,
            -0.7293623797550218,
            0.03175762987337096,
            0.14940790170793353,
            -0.7292163830050662,
            0.015961321348822742,
            0.1518618284836632,
            -0.7291670664976135,
            4.325137604402383e-17,
            0.15268230198535723,
            -0.7292163830050662,
            -0.01596132134882272,
            0.15186182848366322,
            -0.7293623797550218,
            -0.031757629873370975,
            0.14940790170793353,
            -0.7295992514705107,
            -0.047224819891929275,
            0.1453430507274572,
            -0.7299175017908945,
            -0.06220066205343979,
            0.13970497433321435,
            -0.730304219398853,
            -0.07652589268029913,
            0.1325467342168414,
            -0.7307434774901298,
            -0.09004547310250988,
            0.12393696119856797,
            -0.7312168647352719,
            -0.10261005555421286,
            0.11396001184582762,
            -0.7317041516781984,
            -0.11407767331614589,
            0.1027159984179456,
            -0.7321840880389403,
            -0.1243156480915463,
            0.09032060523505689,
            -0.7326353137179669,
            -0.13320267784281375,
            0.0769046019093275,
            -0.73303735043533,
            -0.14063103561379434,
            0.06261297109990756,
            -0.7333716239667275,
            -0.14650877793790076,
            0.04760358762303707,
            -0.7336224519455254,
            -0.15076183538622145,
            0.032045417360757104,
            -0.733777922795404,
            -0.1533358433208899,
            0.016116246551059685,
            -0.7338305908272998,
            -0.15419757289393368,
            8.73612347153491e-17,
            -0.733777922795404,
            -0.1533358433208899,
            -0.01611624655105965,
            -0.7336224519455254,
            -0.15076183538622145,
            -0.03204541736075706,
            -0.7333716239667275,
            -0.1465087779379008,
            -0.047603587623037034,
            -0.73303735043533,
            -0.1406310356137943,
            -0.06261297109990759,
            -0.7326353137179669,
            -0.13320267784281378,
            -0.07690460190932748,
            -0.7321840880389403,
            -0.1243156480915463,
            -0.09032060523505685,
            -0.7317041516781984,
            -0.1140776733161459,
            -0.10271599841794557,
            -0.7312168647352719,
            -0.10261005555421294,
            -0.11396001184582755,
            -0.7307434774901298,
            -0.09004547310250992,
            -0.12393696119856797,
            -0.730304219398853,
            -0.07652589268029923,
            -0.13254673421684138,
            -0.7299175017908945,
            -0.062200662053439916,
            -0.1397049743332143,
            -0.7295992514705107,
            -0.0472248198919293,
            -0.14534305072745718,
            -0.7293623797550218,
            -0.031757629873371045,
            -0.14940790170793353,
            -0.7292163830050662,
            -0.01596132134882286,
            -0.1518618284836632,
            -0.7291670664976135,
            -2.8047283861922596e-17,
            -0.15268230198535723,
            -0.7292163830050662,
            0.01596132134882267,
            -0.15186182848366322,
            -0.7293623797550218,
            0.03175762987337099,
            -0.14940790170793353,
            -0.7295992514705107,
            0.047224819891929254,
            -0.1453430507274572,
            -0.7299175017908945,
            0.06220066205343974,
            -0.13970497433321438,
            -0.730304219398853,
            0.07652589268029918,
            -0.13254673421684138,
            -0.7307434774901298,
            0.09004547310250986,
            -0.123936961198568,
            -0.7312168647352719,
            0.10261005555421294,
            -0.11396001184582755,
            -0.7317041516781984,
            0.1140776733161459,
            -0.10271599841794556,
            -0.7321840880389403,
            0.1243156480915463,
            -0.0903206052350569,
            -0.7326353137179669,
            0.13320267784281378,
            -0.07690460190932746,
            -0.73303735043533,
            0.14063103561379434,
            -0.06261297109990759,
            -0.7333716239667275,
            0.14650877793790076,
            -0.04760358762303708,
            -0.7336224519455254,
            0.15076183538622145,
            -0.03204541736075705,
            -0.733777922795404,
            0.15333584332088987,
            -0.016116246551059706,
            -0.7338305908272998,
            0.15419757289393368,
            -1.747224694306982e-16,
            -0.7483724569251542,
            0.1039642195632925,
            0,
            -0.7483476091462058,
            0.1033894400650404,
            0.010866668032582561,
            -0.7482742019104682,
            0.10167192356176245,
            0.021611034490665534,
            -0.7481555848681896,
            0.09883200707455311,
            0.03211246571675225,
            -0.7479971495101461,
            0.09490316331500541,
            0.04225361063436116,
            -0.7478060566245543,
            0.08993139260905197,
            0.051921913731434066,
            -0.7475908816249435,
            0.08397441928294849,
            0.06101098687361553,
            -0.7473612007829147,
            0.0771007334706247,
            0.06942181223528032,
            -0.7471271432955042,
            0.06938852268332207,
            0.07706376167760683,
            -0.7468989337031139,
            0.060924536552476274,
            0.0838554306239135,
            -0.7466864468971353,
            0.05180292353439783,
            0.08972529554218253,
            -0.7464987944522258,
            0.04212407103353979,
            0.0946122126078837,
            -0.7463439569671297,
            0.03199347149278905,
            0.09846578051044262,
            -0.7462284731008814,
            0.02152062760938938,
            0.10124659262600666,
            -0.7461571924885013,
            0.010818000893653952,
            0.10292640316832934,
            -0.7461330969566315,
            2.931582931636046e-17,
            0.10348822890804185,
            -0.7461571924885013,
            -0.01081800089365394,
            0.10292640316832935,
            -0.7462284731008814,
            -0.02152062760938939,
            0.10124659262600666,
            -0.7463439569671297,
            -0.031993471492789034,
            0.09846578051044264,
            -0.7464987944522258,
            -0.04212407103353976,
            0.09461221260788372,
            -0.7466864468971353,
            -0.0518029235343978,
            0.08972529554218255,
            -0.7468989337031139,
            -0.06092453655247626,
            0.0838554306239135,
            -0.7471271432955042,
            -0.06938852268332203,
            0.07706376167760685,
            -0.7473612007829147,
            -0.07710073347062468,
            0.06942181223528034,
            -0.7475908816249435,
            -0.08397441928294849,
            0.061010986873615544,
            -0.7478060566245543,
            -0.08993139260905197,
            0.051921913731434066,
            -0.7479971495101461,
            -0.09490316331500542,
            0.042253610634361144,
            -0.7481555848681896,
            -0.09883200707455311,
            0.03211246571675226,
            -0.7482742019104682,
            -0.10167192356176245,
            0.021611034490665534,
            -0.7483476091462058,
            -0.10338944006504042,
            0.010866668032582544,
            -0.7483724569251542,
            -0.1039642195632925,
            5.890133298994487e-17,
            -0.7483476091462058,
            -0.10338944006504042,
            -0.01086666803258252,
            -0.7482742019104682,
            -0.10167192356176245,
            -0.021611034490665506,
            -0.7481555848681896,
            -0.09883200707455313,
            -0.032112465716752234,
            -0.7479971495101461,
            -0.09490316331500541,
            -0.04225361063436116,
            -0.7478060566245543,
            -0.08993139260905199,
            -0.051921913731434045,
            -0.7475908816249435,
            -0.08397441928294849,
            -0.061010986873615516,
            -0.7473612007829147,
            -0.0771007334706247,
            -0.06942181223528032,
            -0.7471271432955042,
            -0.06938852268332209,
            -0.0770637616776068,
            -0.7468989337031139,
            -0.06092453655247629,
            -0.0838554306239135,
            -0.7466864468971353,
            -0.05180292353439787,
            -0.08972529554218252,
            -0.7464987944522258,
            -0.042124071033539844,
            -0.09461221260788368,
            -0.7463439569671297,
            -0.031993471492789055,
            -0.09846578051044262,
            -0.7462284731008814,
            -0.021520627609389435,
            -0.10124659262600665,
            -0.7461571924885013,
            -0.010818000893654034,
            -0.10292640316832934,
            -0.7461330969566315,
            -1.9010479242249306e-17,
            -0.10348822890804185,
            -0.7461571924885013,
            0.010818000893653904,
            -0.10292640316832935,
            -0.7462284731008814,
            0.0215206276093894,
            -0.10124659262600665,
            -0.7463439569671297,
            0.03199347149278902,
            -0.09846578051044264,
            -0.7464987944522258,
            0.042124071033539726,
            -0.09461221260788373,
            -0.7466864468971353,
            0.05180292353439783,
            -0.08972529554218253,
            -0.7468989337031139,
            0.060924536552476254,
            -0.08385543062391351,
            -0.7471271432955042,
            0.06938852268332209,
            -0.0770637616776068,
            -0.7473612007829147,
            0.0771007334706247,
            -0.06942181223528031,
            -0.7475908816249435,
            0.08397441928294849,
            -0.06101098687361555,
            -0.7478060566245543,
            0.08993139260905199,
            -0.05192191373143404,
            -0.7479971495101461,
            0.09490316331500542,
            -0.04225361063436116,
            -0.7481555848681896,
            0.09883200707455311,
            -0.03211246571675227,
            -0.7482742019104682,
            0.10167192356176245,
            -0.0216110344906655,
            -0.7483476091462058,
            0.1033894400650404,
            -0.010866668032582558,
            -0.7483724569251542,
            0.1039642195632925,
            -1.1780266597988974e-16,
            -0.7571993565320876,
            0.05233561313197707,
            0,
            -0.7571929187274318,
            0.05204824023344705,
            0.0054704904866606655,
            -0.7571738899887239,
            0.051189336267451105,
            0.010880629311179968,
            -0.7571431113217497,
            0.049768503628427975,
            0.016170767080915114,
            -0.7571019416740277,
            0.04780160811884523,
            0.021282647138387307,
            -0.7570521961429404,
            0.0453105755239808,
            0.02616007297590718,
            -0.756996063903187,
            0.042323114236401484,
            0.030749542410374812,
            -0.7569360099205561,
            0.03887237069736208,
            0.035000839787349664,
            -0.7568746652006977,
            0.03499652550763153,
            0.03886757920431465,
            -0.7568147107167077,
            0.030738338642747276,
            0.04230769357319779,
            -0.7567587602704127,
            0.026144652299416416,
            0.04528386612881169,
            -0.7567092473943806,
            0.021265859558530862,
            0.04776390259714278,
            -0.7566683210354519,
            0.016155346369638387,
            0.04972104355920005,
            -0.7566377542240537,
            0.010868913458389504,
            0.051134217513654885,
            -0.756618869275498,
            0.005464183758834652,
            0.05198823572639677,
            -0.7566124823324407,
            1.480799923499429e-17,
            0.05227393016802604,
            -0.756618869275498,
            -0.005464183758834645,
            0.05198823572639678,
            -0.7566377542240537,
            -0.01086891345838951,
            0.051134217513654885,
            -0.7566683210354519,
            -0.01615534636963838,
            0.049721043559200054,
            -0.7567092473943806,
            -0.021265859558530848,
            0.047763902597142784,
            -0.7567587602704127,
            -0.0261446522994164,
            0.045283866128811696,
            -0.7568147107167077,
            -0.03073833864274727,
            0.04230769357319779,
            -0.7568746652006977,
            -0.034996525507631514,
            0.03886757920431466,
            -0.7569360099205561,
            -0.038872370697362074,
            0.03500083978734968,
            -0.756996063903187,
            -0.04232311423640148,
            0.03074954241037482,
            -0.7570521961429404,
            -0.0453105755239808,
            0.02616007297590718,
            -0.7571019416740277,
            -0.047801608118845235,
            0.0212826471383873,
            -0.7571431113217497,
            -0.049768503628427975,
            0.016170767080915117,
            -0.7571738899887239,
            -0.051189336267451105,
            0.010880629311179968,
            -0.7571929187274318,
            -0.052048240233447056,
            0.005470490486660657,
            -0.7571993565320876,
            -0.05233561313197707,
            2.9650945193147257e-17,
            -0.7571929187274318,
            -0.052048240233447056,
            -0.005470490486660645,
            -0.7571738899887239,
            -0.051189336267451105,
            -0.010880629311179956,
            -0.7571431113217497,
            -0.04976850362842798,
            -0.016170767080915107,
            -0.7571019416740277,
            -0.04780160811884523,
            -0.02128264713838731,
            -0.7570521961429404,
            -0.04531057552398081,
            -0.02616007297590717,
            -0.756996063903187,
            -0.042323114236401484,
            -0.030749542410374805,
            -0.7569360099205561,
            -0.03887237069736208,
            -0.035000839787349664,
            -0.7568746652006977,
            -0.03499652550763154,
            -0.03886757920431464,
            -0.7568147107167077,
            -0.030738338642747283,
            -0.04230769357319778,
            -0.7567587602704127,
            -0.026144652299416433,
            -0.04528386612881168,
            -0.7567092473943806,
            -0.021265859558530893,
            -0.047763902597142756,
            -0.7566683210354519,
            -0.01615534636963839,
            -0.04972104355920005,
            -0.7566377542240537,
            -0.010868913458389534,
            -0.05113421751365488,
            -0.756618869275498,
            -0.005464183758834693,
            -0.05198823572639677,
            -0.7566124823324407,
            -9.602565188868802e-18,
            -0.05227393016802604,
            -0.756618869275498,
            0.005464183758834627,
            -0.05198823572639678,
            -0.7566377542240537,
            0.010868913458389515,
            -0.05113421751365488,
            -0.7566683210354519,
            0.016155346369638373,
            -0.049721043559200054,
            -0.7567092473943806,
            0.02126585955853083,
            -0.04776390259714279,
            -0.7567587602704127,
            0.026144652299416416,
            -0.04528386612881169,
            -0.7568147107167077,
            0.030738338642747266,
            -0.042307693573197795,
            -0.7568746652006977,
            0.03499652550763154,
            -0.03886757920431464,
            -0.7569360099205561,
            0.03887237069736208,
            -0.03500083978734966,
            -0.756996063903187,
            0.04232311423640148,
            -0.030749542410374822,
            -0.7570521961429404,
            0.04531057552398081,
            -0.026160072975907167,
            -0.7571019416740277,
            0.047801608118845235,
            -0.021282647138387307,
            -0.7571431113217497,
            0.049768503628427975,
            -0.016170767080915124,
            -0.7571738899887239,
            0.051189336267451105,
            -0.010880629311179951,
            -0.7571929187274318,
            0.05204824023344705,
            -0.005470490486660663,
            -0.7571993565320876,
            0.05233561313197707,
            -5.930189038629451e-17,
            -0.7601588563563844,
            2.837866151169963e-16,
            0,
            -0.7601588563563844,
            2.822320023463019e-16,
            2.966377877410866e-17,
            -0.7601588563563844,
            2.775851966970579e-16,
            5.90025549804234e-17,
            -0.7601588563563844,
            2.6989710954436403e-16,
            8.769488684729422e-17,
            -0.7601588563563844,
            2.5925197317990103e-16,
            1.154264151825312e-16,
            -0.7601588563563844,
            2.4576641794531583e-16,
            1.4189330755849812e-16,
            -0.7601588563563844,
            2.2958819440579243e-16,
            1.6680558716377064e-16,
            -0.7601588563563844,
            2.1089455456394067e-16,
            1.8989030984976364e-16,
            -0.7601588563563844,
            1.8989030984976364e-16,
            2.1089455456394067e-16,
            -0.7601588563563844,
            1.6680558716377064e-16,
            2.2958819440579243e-16,
            -0.7601588563563844,
            1.4189330755849817e-16,
            2.457664179453158e-16,
            -0.7601588563563844,
            1.1542641518253126e-16,
            2.5925197317990103e-16,
            -0.7601588563563844,
            8.769488684729423e-17,
            2.6989710954436403e-16,
            -0.7601588563563844,
            5.900255498042337e-17,
            2.775851966970579e-16,
            -0.7601588563563844,
            2.966377877410866e-17,
            2.822320023463019e-16,
            -0.7601588563563844,
            8.039020532885994e-32,
            2.837866151169963e-16,
            -0.7601588563563844,
            -2.9663778774108626e-17,
            2.822320023463019e-16,
            -0.7601588563563844,
            -5.900255498042341e-17,
            2.775851966970579e-16,
            -0.7601588563563844,
            -8.769488684729419e-17,
            2.698971095443641e-16,
            -0.7601588563563844,
            -1.1542641518253119e-16,
            2.5925197317990103e-16,
            -0.7601588563563844,
            -1.4189330755849807e-16,
            2.4576641794531583e-16,
            -0.7601588563563844,
            -1.668055871637706e-16,
            2.2958819440579243e-16,
            -0.7601588563563844,
            -1.8989030984976357e-16,
            2.1089455456394072e-16,
            -0.7601588563563844,
            -2.1089455456394062e-16,
            1.8989030984976372e-16,
            -0.7601588563563844,
            -2.295881944057924e-16,
            1.6680558716377067e-16,
            -0.7601588563563844,
            -2.4576641794531583e-16,
            1.4189330755849812e-16,
            -0.7601588563563844,
            -2.5925197317990103e-16,
            1.1542641518253116e-16,
            -0.7601588563563844,
            -2.6989710954436403e-16,
            8.769488684729424e-17,
            -0.7601588563563844,
            -2.775851966970579e-16,
            5.90025549804234e-17,
            -0.7601588563563844,
            -2.822320023463019e-16,
            2.9663778774108614e-17,
            -0.7601588563563844,
            -2.837866151169963e-16,
            1.6078041065771987e-31,
            -0.7601588563563844,
            -2.822320023463019e-16,
            -2.9663778774108546e-17,
            -0.7601588563563844,
            -2.775851966970579e-16,
            -5.900255498042333e-17,
            -0.7601588563563844,
            -2.698971095443641e-16,
            -8.769488684729418e-17,
            -0.7601588563563844,
            -2.5925197317990103e-16,
            -1.154264151825312e-16,
            -0.7601588563563844,
            -2.4576641794531583e-16,
            -1.4189330755849807e-16,
            -0.7601588563563844,
            -2.2958819440579243e-16,
            -1.668055871637706e-16,
            -0.7601588563563844,
            -2.1089455456394067e-16,
            -1.8989030984976364e-16,
            -0.7601588563563844,
            -1.8989030984976372e-16,
            -2.108945545639406e-16,
            -0.7601588563563844,
            -1.6680558716377067e-16,
            -2.295881944057924e-16,
            -0.7601588563563844,
            -1.4189330755849827e-16,
            -2.4576641794531573e-16,
            -0.7601588563563844,
            -1.1542641518253143e-16,
            -2.5925197317990093e-16,
            -0.7601588563563844,
            -8.769488684729426e-17,
            -2.6989710954436403e-16,
            -0.7601588563563844,
            -5.900255498042353e-17,
            -2.7758519669705785e-16,
            -0.7601588563563844,
            -2.966377877410888e-17,
            -2.822320023463019e-16,
            -0.7601588563563844,
            -5.213075547658371e-32,
            -2.837866151169963e-16,
            -0.7601588563563844,
            2.966377877410853e-17,
            -2.822320023463019e-16,
            -0.7601588563563844,
            5.900255498042344e-17,
            -2.7758519669705785e-16,
            -0.7601588563563844,
            8.769488684729417e-17,
            -2.698971095443641e-16,
            -0.7601588563563844,
            1.1542641518253109e-16,
            -2.592519731799011e-16,
            -0.7601588563563844,
            1.4189330755849817e-16,
            -2.457664179453158e-16,
            -0.7601588563563844,
            1.6680558716377057e-16,
            -2.2958819440579243e-16,
            -0.7601588563563844,
            1.8989030984976372e-16,
            -2.108945545639406e-16,
            -0.7601588563563844,
            2.1089455456394067e-16,
            -1.8989030984976362e-16,
            -0.7601588563563844,
            2.295881944057924e-16,
            -1.668055871637707e-16,
            -0.7601588563563844,
            2.4576641794531583e-16,
            -1.4189330755849805e-16,
            -0.7601588563563844,
            2.5925197317990103e-16,
            -1.154264151825312e-16,
            -0.7601588563563844,
            2.6989710954436403e-16,
            -8.769488684729428e-17,
            -0.7601588563563844,
            2.775851966970579e-16,
            -5.90025549804233e-17,
            -0.7601588563563844,
            2.822320023463019e-16,
            -2.9663778774108645e-17,
            -0.7601588563563844,
            2.837866151169963e-16,
            -3.2156082131543974e-31
          ],
          "indices": [
            0,
            61,
            1,
            1,
            61,
            62,
            1,
            62,
            2,
            2,
            62,
            63,
            2,
            63,
            3,
            3,
            63,
            64,
            3,
            64,
            4,
            4,
            64,
            65,
            4,
            65,
            5,
            5,
            65,
            66,
            5,
            66,
            6,
            6,
            66,
            67,
            6,
            67,
            7,
            7,
            67,
            68,
            7,
            68,
            8,
            8,
            68,
            69,
            8,
            69,
            9,
            9,
            69,
            70,
            9,
            70,
            10,
            10,
            70,
            71,
            10,
            71,
            11,
            11,
            71,
            72,
            11,
            72,
            12,
            12,
            72,
            73,
            12,
            73,
            13,
            13,
            73,
            74,
            13,
            74,
            14,
            14,
            74,
            75,
            14,
            75,
            15,
            15,
            75,
            76,
            15,
            76,
            16,
            16,
            76,
            77,
            16,
            77,
            17,
            17,
            77,
            78,
            17,
            78,
            18,
            18,
            78,
            79,
            18,
            79,
            19,
            19,
            79,
            80,
            19,
            80,
            20,
            20,
            80,
            81,
            20,
            81,
            21,
            21,
            81,
            82,
            21,
            82,
            22,
            22,
            82,
            83,
            22,
            83,
            23,
            23,
            83,
            84,
            23,
            84,
            24,
            24,
            84,
            85,
            24,
            85,
            25,
            25,
            85,
            86,
            25,
            86,
            26,
            26,
            86,
            87,
            26,
            87,
            27,
            27,
            87,
            88,
            27,
            88,
            28,
            28,
            88,
            89,
            28,
            89,
            29,
            29,
            89,
            90,
            29,
            90,
            30,
            30,
            90,
            91,
            30,
            91,
            31,
            31,
            91,
            92,
            31,
            92,
            32,
            32,
            92,
            93,
            32,
            93,
            33,
            33,
            93,
            94,
            33,
            94,
            34,
            34,
            94,
            95,
            34,
            95,
            35,
            35,
            95,
            96,
            35,
            96,
            36,
            36,
            96,
            97,
            36,
            97,
            37,
            37,
            97,
            98,
            37,
            98,
            38,
            38,
            98,
            99,
            38,
            99,
            39,
            39,
            99,
            100,
            39,
            100,
            40,
            40,
            100,
            101,
            40,
            101,
            41,
            41,
            101,
            102,
            41,
            102,
            42,
            42,
            102,
            103,
            42,
            103,
            43,
            43,
            103,
            104,
            43,
            104,
            44,
            44,
            104,
            105,
            44,
            105,
            45,
            45,
            105,
            106,
            45,
            106,
            46,
            46,
            106,
            107,
            46,
            107,
            47,
            47,
            107,
            108,
            47,
            108,
            48,
            48,
            108,
            109,
            48,
            109,
            49,
            49,
            109,
            110,
            49,
            110,
            50,
            50,
            110,
            111,
            50,
            111,
            51,
            51,
            111,
            112,
            51,
            112,
            52,
            52,
            112,
            113,
            52,
            113,
            53,
            53,
            113,
            114,
            53,
            114,
            54,
            54,
            114,
            115,
            54,
            115,
            55,
            55,
            115,
            116,
            55,
            116,
            56,
            56,
            116,
            117,
            56,
            117,
            57,
            57,
            117,
            118,
            57,
            118,
            58,
            58,
            118,
            119,
            58,
            119,
            59,
            59,
            119,
            120,
            59,
            120,
            60,
            60,
            120,
            121,
            61,
            122,
            62,
            62,
            122,
            123,
            62,
            123,
            63,
            63,
            123,
            124,
            63,
            124,
            64,
            64,
            124,
            125,
            64,
            125,
            65,
            65,
            125,
            126,
            65,
            126,
            66,
            66,
            126,
            127,
            66,
            127,
            67,
            67,
            127,
            128,
            67,
            128,
            68,
            68,
            128,
            129,
            68,
            129,
            69,
            69,
            129,
            130,
            69,
            130,
            70,
            70,
            130,
            131,
            70,
            131,
            71,
            71,
            131,
            132,
            71,
            132,
            72,
            72,
            132,
            133,
            72,
            133,
            73,
            73,
            133,
            134,
            73,
            134,
            74,
            74,
            134,
            135,
            74,
            135,
            75,
            75,
            135,
            136,
            75,
            136,
            76,
            76,
            136,
            137,
            76,
            137,
            77,
            77,
            137,
            138,
            77,
            138,
            78,
            78,
            138,
            139,
            78,
            139,
            79,
            79,
            139,
            140,
            79,
            140,
            80,
            80,
            140,
            141,
            80,
            141,
            81,
            81,
            141,
            142,
            81,
            142,
            82,
            82,
            142,
            143,
            82,
            143,
            83,
            83,
            143,
            144,
            83,
            144,
            84,
            84,
            144,
            145,
            84,
            145,
            85,
            85,
            145,
            146,
            85,
            146,
            86,
            86,
            146,
            147,
            86,
            147,
            87,
            87,
            147,
            148,
            87,
            148,
            88,
            88,
            148,
            149,
            88,
            149,
            89,
            89,
            149,
            150,
            89,
            150,
            90,
            90,
            150,
            151,
            90,
            151,
            91,
            91,
            151,
            152,
            91,
            152,
            92,
            92,
            152,
            153,
            92,
            153,
            93,
            93,
            153,
            154,
            93,
            154,
            94,
            94,
            154,
            155,
            94,
            155,
            95,
            95,
            155,
            156,
            95,
            156,
            96,
            96,
            156,
            157,
            96,
            157,
            97,
            97,
            157,
            158,
            97,
            158,
            98,
            98,
            158,
            159,
            98,
            159,
            99,
            99,
            159,
            160,
            99,
            160,
            100,
            100,
            160,
            161,
            100,
            161,
            101,
            101,
            161,
            162,
            101,
            162,
            102,
            102,
            162,
            163,
            102,
            163,
            103,
            103,
            163,
            164,
            103,
            164,
            104,
            104,
            164,
            165,
            104,
            165,
            105,
            105,
            165,
            166,
            105,
            166,
            106,
            106,
            166,
            167,
            106,
            167,
            107,
            107,
            167,
            168,
            107,
            168,
            108,
            108,
            168,
            169,
            108,
            169,
            109,
            109,
            169,
            170,
            109,
            170,
            110,
            110,
            170,
            171,
            110,
            171,
            111,
            111,
            171,
            172,
            111,
            172,
            112,
            112,
            172,
            173,
            112,
            173,
            113,
            113,
            173,
            174,
            113,
            174,
            114,
            114,
            174,
            175,
            114,
            175,
            115,
            115,
            175,
            176,
            115,
            176,
            116,
            116,
            176,
            177,
            116,
            177,
            117,
            117,
            177,
            178,
            117,
            178,
            118,
            118,
            178,
            179,
            118,
            179,
            119,
            119,
            179,
            180,
            119,
            180,
            120,
            120,
            180,
            181,
            120,
            181,
            121,
            121,
            181,
            182,
            122,
            183,
            123,
            123,
            183,
            184,
            123,
            184,
            124,
            124,
            184,
            185,
            124,
            185,
            125,
            125,
            185,
            186,
            125,
            186,
            126,
            126,
            186,
            187,
            126,
            187,
            127,
            127,
            187,
            188,
            127,
            188,
            128,
            128,
            188,
            189,
            128,
            189,
            129,
            129,
            189,
            190,
            129,
            190,
            130,
            130,
            190,
            191,
            130,
            191,
            131,
            131,
            191,
            192,
            131,
            192,
            132,
            132,
            192,
            193,
            132,
            193,
            133,
            133,
            193,
            194,
            133,
            194,
            134,
            134,
            194,
            195,
            134,
            195,
            135,
            135,
            195,
            196,
            135,
            196,
            136,
            136,
            196,
            197,
            136,
            197,
            137,
            137,
            197,
            198,
            137,
            198,
            138,
            138,
            198,
            199,
            138,
            199,
            139,
            139,
            199,
            200,
            139,
            200,
            140,
            140,
            200,
            201,
            140,
            201,
            141,
            141,
            201,
            202,
            141,
            202,
            142,
            142,
            202,
            203,
            142,
            203,
            143,
            143,
            203,
            204,
            143,
            204,
            144,
            144,
            204,
            205,
            144,
            205,
            145,
            145,
            205,
            206,
            145,
            206,
            146,
            146,
            206,
            207,
            146,
            207,
            147,
            147,
            207,
            208,
            147,
            208,
            148,
            148,
            208,
            209,
            148,
            209,
            149,
            149,
            209,
            210,
            149,
            210,
            150,
            150,
            210,
            211,
            150,
            211,
            151,
            151,
            211,
            212,
            151,
            212,
            152,
            152,
            212,
            213,
            152,
            213,
            153,
            153,
            213,
            214,
            153,
            214,
            154,
            154,
            214,
            215,
            154,
            215,
            155,
            155,
            215,
            216,
            155,
            216,
            156,
            156,
            216,
            217,
            156,
            217,
            157,
            157,
            217,
            218,
            157,
            218,
            158,
            158,
            218,
            219,
            158,
            219,
            159,
            159,
            219,
            220,
            159,
            220,
            160,
            160,
            220,
            221,
            160,
            221,
            161,
            161,
            221,
            222,
            161,
            222,
            162,
            162,
            222,
            223,
            162,
            223,
            163,
            163,
            223,
            224,
            163,
            224,
            164,
            164,
            224,
            225,
            164,
            225,
            165,
            165,
            225,
            226,
            165,
            226,
            166,
            166,
            226,
            227,
            166,
            227,
            167,
            167,
            227,
            228,
            167,
            228,
            168,
            168,
            228,
            229,
            168,
            229,
            169,
            169,
            229,
            230,
            169,
            230,
            170,
            170,
            230,
            231,
            170,
            231,
            171,
            171,
            231,
            232,
            171,
            232,
            172,
            172,
            232,
            233,
            172,
            233,
            173,
            173,
            233,
            234,
            173,
            234,
            174,
            174,
            234,
            235,
            174,
            235,
            175,
            175,
            235,
            236,
            175,
            236,
            176,
            176,
            236,
            237,
            176,
            237,
            177,
            177,
            237,
            238,
            177,
            238,
            178,
            178,
            238,
            239,
            178,
            239,
            179,
            179,
            239,
            240,
            179,
            240,
            180,
            180,
            240,
            241,
            180,
            241,
            181,
            181,
            241,
            242,
            181,
            242,
            182,
            182,
            242,
            243,
            183,
            244,
            184,
            184,
            244,
            245,
            184,
            245,
            185,
            185,
            245,
            246,
            185,
            246,
            186,
            186,
            246,
            247,
            186,
            247,
            187,
            187,
            247,
            248,
            187,
            248,
            188,
            188,
            248,
            249,
            188,
            249,
            189,
            189,
            249,
            250,
            189,
            250,
            190,
            190,
            250,
            251,
            190,
            251,
            191,
            191,
            251,
            252,
            191,
            252,
            192,
            192,
            252,
            253,
            192,
            253,
            193,
            193,
            253,
            254,
            193,
            254,
            194,
            194,
            254,
            255,
            194,
            255,
            195,
            195,
            255,
            256,
            195,
            256,
            196,
            196,
            256,
            257,
            196,
            257,
            197,
            197,
            257,
            258,
            197,
            258,
            198,
            198,
            258,
            259,
            198,
            259,
            199,
            199,
            259,
            260,
            199,
            260,
            200,
            200,
            260,
            261,
            200,
            261,
            201,
            201,
            261,
            262,
            201,
            262,
            202,
            202,
            262,
            263,
            202,
            263,
            203,
            203,
            263,
            264,
            203,
            264,
            204,
            204,
            264,
            265,
            204,
            265,
            205,
            205,
            265,
            266,
            205,
            266,
            206,
            206,
            266,
            267,
            206,
            267,
            207,
            207,
            267,
            268,
            207,
            268,
            208,
            208,
            268,
            269,
            208,
            269,
            209,
            209,
            269,
            270,
            209,
            270,
            210,
            210,
            270,
            271,
            210,
            271,
            211,
            211,
            271,
            272,
            211,
            272,
            212,
            212,
            272,
            273,
            212,
            273,
            213,
            213,
            273,
            274,
            213,
            274,
            214,
            214,
            274,
            275,
            214,
            275,
            215,
            215,
            275,
            276,
            215,
            276,
            216,
            216,
            276,
            277,
            216,
            277,
            217,
            217,
            277,
            278,
            217,
            278,
            218,
            218,
            278,
            279,
            218,
            279,
            219,
            219,
            279,
            280,
            219,
            280,
            220,
            220,
            280,
            281,
            220,
            281,
            221,
            221,
            281,
            282,
            221,
            282,
            222,
            222,
            282,
            283,
            222,
            283,
            223,
            223,
            283,
            284,
            223,
            284,
            224,
            224,
            284,
            285,
            224,
            285,
            225,
            225,
            285,
            286,
            225,
            286,
            226,
            226,
            286,
            287,
            226,
            287,
            227,
            227,
            287,
            288,
            227,
            288,
            228,
            228,
            288,
            289,
            228,
            289,
            229,
            229,
            289,
            290,
            229,
            290,
            230,
            230,
            290,
            291,
            230,
            291,
            231,
            231,
            291,
            292,
            231,
            292,
            232,
            232,
            292,
            293,
            232,
            293,
            233,
            233,
            293,
            294,
            233,
            294,
            234,
            234,
            294,
            295,
            234,
            295,
            235,
            235,
            295,
            296,
            235,
            296,
            236,
            236,
            296,
            297,
            236,
            297,
            237,
            237,
            297,
            298,
            237,
            298,
            238,
            238,
            298,
            299,
            238,
            299,
            239,
            239,
            299,
            300,
            239,
            300,
            240,
            240,
            300,
            301,
            240,
            301,
            241,
            241,
            301,
            302,
            241,
            302,
            242,
            242,
            302,
            303,
            242,
            303,
            243,
            243,
            303,
            304,
            244,
            305,
            245,
            245,
            305,
            306,
            245,
            306,
            246,
            246,
            306,
            307,
            246,
            307,
            247,
            247,
            307,
            308,
            247,
            308,
            248,
            248,
            308,
            309,
            248,
            309,
            249,
            249,
            309,
            310,
            249,
            310,
            250,
            250,
            310,
            311,
            250,
            311,
            251,
            251,
            311,
            312,
            251,
            312,
            252,
            252,
            312,
            313,
            252,
            313,
            253,
            253,
            313,
            314,
            253,
            314,
            254,
            254,
            314,
            315,
            254,
            315,
            255,
            255,
            315,
            316,
            255,
            316,
            256,
            256,
            316,
            317,
            256,
            317,
            257,
            257,
            317,
            318,
            257,
            318,
            258,
            258,
            318,
            319,
            258,
            319,
            259,
            259,
            319,
            320,
            259,
            320,
            260,
            260,
            320,
            321,
            260,
            321,
            261,
            261,
            321,
            322,
            261,
            322,
            262,
            262,
            322,
            323,
            262,
            323,
            263,
            263,
            323,
            324,
            263,
            324,
            264,
            264,
            324,
            325,
            264,
            325,
            265,
            265,
            325,
            326,
            265,
            326,
            266,
            266,
            326,
            327,
            266,
            327,
            267,
            267,
            327,
            328,
            267,
            328,
            268,
            268,
            328,
            329,
            268,
            329,
            269,
            269,
            329,
            330,
            269,
            330,
            270,
            270,
            330,
            331,
            270,
            331,
            271,
            271,
            331,
            332,
            271,
            332,
            272,
            272,
            332,
            333,
            272,
            333,
            273,
            273,
            333,
            334,
            273,
            334,
            274,
            274,
            334,
            335,
            274,
            335,
            275,
            275,
            335,
            336,
            275,
            336,
            276,
            276,
            336,
            337,
            276,
            337,
            277,
            277,
            337,
            338,
            277,
            338,
            278,
            278,
            338,
            339,
            278,
            339,
            279,
            279,
            339,
            340,
            279,
            340,
            280,
            280,
            340,
            341,
            280,
            341,
            281,
            281,
            341,
            342,
            281,
            342,
            282,
            282,
            342,
            343,
            282,
            343,
            283,
            283,
            343,
            344,
            283,
            344,
            284,
            284,
            344,
            345,
            284,
            345,
            285,
            285,
            345,
            346,
            285,
            346,
            286,
            286,
            346,
            347,
            286,
            347,
            287,
            287,
            347,
            348,
            287,
            348,
            288,
            288,
            348,
            349,
            288,
            349,
            289,
            289,
            349,
            350,
            289,
            350,
            290,
            290,
            350,
            351,
            290,
            351,
            291,
            291,
            351,
            352,
            291,
            352,
            292,
            292,
            352,
            353,
            292,
            353,
            293,
            293,
            353,
            354,
            293,
            354,
            294,
            294,
            354,
            355,
            294,
            355,
            295,
            295,
            355,
            356,
            295,
            356,
            296,
            296,
            356,
            357,
            296,
            357,
            297,
            297,
            357,
            358,
            297,
            358,
            298,
            298,
            358,
            359,
            298,
            359,
            299,
            299,
            359,
            360,
            299,
            360,
            300,
            300,
            360,
            361,
            300,
            361,
            301,
            301,
            361,
            362,
            301,
            362,
            302,
            302,
            362,
            363,
            302,
            363,
            303,
            303,
            363,
            364,
            303,
            364,
            304,
            304,
            364,
            365,
            305,
            366,
            306,
            306,
            366,
            367,
            306,
            367,
            307,
            307,
            367,
            368,
            307,
            368,
            308,
            308,
            368,
            369,
            308,
            369,
            309,
            309,
            369,
            370,
            309,
            370,
            310,
            310,
            370,
            371,
            310,
            371,
            311,
            311,
            371,
            372,
            311,
            372,
            312,
            312,
            372,
            373,
            312,
            373,
            313,
            313,
            373,
            374,
            313,
            374,
            314,
            314,
            374,
            375,
            314,
            375,
            315,
            315,
            375,
            376,
            315,
            376,
            316,
            316,
            376,
            377,
            316,
            377,
            317,
            317,
            377,
            378,
            317,
            378,
            318,
            318,
            378,
            379,
            318,
            379,
            319,
            319,
            379,
            380,
            319,
            380,
            320,
            320,
            380,
            381,
            320,
            381,
            321,
            321,
            381,
            382,
            321,
            382,
            322,
            322,
            382,
            383,
            322,
            383,
            323,
            323,
            383,
            384,
            323,
            384,
            324,
            324,
            384,
            385,
            324,
            385,
            325,
            325,
            385,
            386,
            325,
            386,
            326,
            326,
            386,
            387,
            326,
            387,
            327,
            327,
            387,
            388,
            327,
            388,
            328,
            328,
            388,
            389,
            328,
            389,
            329,
            329,
            389,
            390,
            329,
            390,
            330,
            330,
            390,
            391,
            330,
            391,
            331,
            331,
            391,
            392,
            331,
            392,
            332,
            332,
            392,
            393,
            332,
            393,
            333,
            333,
            393,
            394,
            333,
            394,
            334,
            334,
            394,
            395,
            334,
            395,
            335,
            335,
            395,
            396,
            335,
            396,
            336,
            336,
            396,
            397,
            336,
            397,
            337,
            337,
            397,
            398,
            337,
            398,
            338,
            338,
            398,
            399,
            338,
            399,
            339,
            339,
            399,
            400,
            339,
            400,
            340,
            340,
            400,
            401,
            340,
            401,
            341,
            341,
            401,
            402,
            341,
            402,
            342,
            342,
            402,
            403,
            342,
            403,
            343,
            343,
            403,
            404,
            343,
            404,
            344,
            344,
            404,
            405,
            344,
            405,
            345,
            345,
            405,
            406,
            345,
            406,
            346,
            346,
            406,
            407,
            346,
            407,
            347,
            347,
            407,
            408,
            347,
            408,
            348,
            348,
            408,
            409,
            348,
            409,
            349,
            349,
            409,
            410,
            349,
            410,
            350,
            350,
            410,
            411,
            350,
            411,
            351,
            351,
            411,
            412,
            351,
            412,
            352,
            352,
            412,
            413,
            352,
            413,
            353,
            353,
            413,
            414,
            353,
            414,
            354,
            354,
            414,
            415,
            354,
            415,
            355,
            355,
            415,
            416,
            355,
            416,
            356,
            356,
            416,
            417,
            356,
            417,
            357,
            357,
            417,
            418,
            357,
            418,
            358,
            358,
            418,
            419,
            358,
            419,
            359,
            359,
            419,
            420,
            359,
            420,
            360,
            360,
            420,
            421,
            360,
            421,
            361,
            361,
            421,
            422,
            361,
            422,
            362,
            362,
            422,
            423,
            362,
            423,
            363,
            363,
            423,
            424,
            363,
            424,
            364,
            364,
            424,
            425,
            364,
            425,
            365,
            365,
            425,
            426,
            366,
            427,
            367,
            367,
            427,
            428,
            367,
            428,
            368,
            368,
            428,
            429,
            368,
            429,
            369,
            369,
            429,
            430,
            369,
            430,
            370,
            370,
            430,
            431,
            370,
            431,
            371,
            371,
            431,
            432,
            371,
            432,
            372,
            372,
            432,
            433,
            372,
            433,
            373,
            373,
            433,
            434,
            373,
            434,
            374,
            374,
            434,
            435,
            374,
            435,
            375,
            375,
            435,
            436,
            375,
            436,
            376,
            376,
            436,
            437,
            376,
            437,
            377,
            377,
            437,
            438,
            377,
            438,
            378,
            378,
            438,
            439,
            378,
            439,
            379,
            379,
            439,
            440,
            379,
            440,
            380,
            380,
            440,
            441,
            380,
            441,
            381,
            381,
            441,
            442,
            381,
            442,
            382,
            382,
            442,
            443,
            382,
            443,
            383,
            383,
            443,
            444,
            383,
            444,
            384,
            384,
            444,
            445,
            384,
            445,
            385,
            385,
            445,
            446,
            385,
            446,
            386,
            386,
            446,
            447,
            386,
            447,
            387,
            387,
            447,
            448,
            387,
            448,
            388,
            388,
            448,
            449,
            388,
            449,
            389,
            389,
            449,
            450,
            389,
            450,
            390,
            390,
            450,
            451,
            390,
            451,
            391,
            391,
            451,
            452,
            391,
            452,
            392,
            392,
            452,
            453,
            392,
            453,
            393,
            393,
            453,
            454,
            393,
            454,
            394,
            394,
            454,
            455,
            394,
            455,
            395,
            395,
            455,
            456,
            395,
            456,
            396,
            396,
            456,
            457,
            396,
            457,
            397,
            397,
            457,
            458,
            397,
            458,
            398,
            398,
            458,
            459,
            398,
            459,
            399,
            399,
            459,
            460,
            399,
            460,
            400,
            400,
            460,
            461,
            400,
            461,
            401,
            401,
            461,
            462,
            401,
            462,
            402,
            402,
            462,
            463,
            402,
            463,
            403,
            403,
            463,
            464,
            403,
            464,
            404,
            404,
            464,
            465,
            404,
            465,
            405,
            405,
            465,
            466,
            405,
            466,
            406,
            406,
            466,
            467,
            406,
            467,
            407,
            407,
            467,
            468,
            407,
            468,
            408,
            408,
            468,
            469,
            408,
            469,
            409,
            409,
            469,
            470,
            409,
            470,
            410,
            410,
            470,
            471,
            410,
            471,
            411,
            411,
            471,
            472,
            411,
            472,
            412,
            412,
            472,
            473,
            412,
            473,
            413,
            413,
            473,
            474,
            413,
            474,
            414,
            414,
            474,
            475,
            414,
            475,
            415,
            415,
            475,
            476,
            415,
            476,
            416,
            416,
            476,
            477,
            416,
            477,
            417,
            417,
            477,
            478,
            417,
            478,
            418,
            418,
            478,
            479,
            418,
            479,
            419,
            419,
            479,
            480,
            419,
            480,
            420,
            420,
            480,
            481,
            420,
            481,
            421,
            421,
            481,
            482,
            421,
            482,
            422,
            422,
            482,
            483,
            422,
            483,
            423,
            423,
            483,
            484,
            423,
            484,
            424,
            424,
            484,
            485,
            424,
            485,
            425,
            425,
            485,
            486,
            425,
            486,
            426,
            426,
            486,
            487,
            427,
            488,
            428,
            428,
            488,
            489,
            428,
            489,
            429,
            429,
            489,
            490,
            429,
            490,
            430,
            430,
            490,
            491,
            430,
            491,
            431,
            431,
            491,
            492,
            431,
            492,
            432,
            432,
            492,
            493,
            432,
            493,
            433,
            433,
            493,
            494,
            433,
            494,
            434,
            434,
            494,
            495,
            434,
            495,
            435,
            435,
            495,
            496,
            435,
            496,
            436,
            436,
            496,
            497,
            436,
            497,
            437,
            437,
            497,
            498,
            437,
            498,
            438,
            438,
            498,
            499,
            438,
            499,
            439,
            439,
            499,
            500,
            439,
            500,
            440,
            440,
            500,
            501,
            440,
            501,
            441,
            441,
            501,
            502,
            441,
            502,
            442,
            442,
            502,
            503,
            442,
            503,
            443,
            443,
            503,
            504,
            443,
            504,
            444,
            444,
            504,
            505,
            444,
            505,
            445,
            445,
            505,
            506,
            445,
            506,
            446,
            446,
            506,
            507,
            446,
            507,
            447,
            447,
            507,
            508,
            447,
            508,
            448,
            448,
            508,
            509,
            448,
            509,
            449,
            449,
            509,
            510,
            449,
            510,
            450,
            450,
            510,
            511,
            450,
            511,
            451,
            451,
            511,
            512,
            451,
            512,
            452,
            452,
            512,
            513,
            452,
            513,
            453,
            453,
            513,
            514,
            453,
            514,
            454,
            454,
            514,
            515,
            454,
            515,
            455,
            455,
            515,
            516,
            455,
            516,
            456,
            456,
            516,
            517,
            456,
            517,
            457,
            457,
            517,
            518,
            457,
            518,
            458,
            458,
            518,
            519,
            458,
            519,
            459,
            459,
            519,
            520,
            459,
            520,
            460,
            460,
            520,
            521,
            460,
            521,
            461,
            461,
            521,
            522,
            461,
            522,
            462,
            462,
            522,
            523,
            462,
            523,
            463,
            463,
            523,
            524,
            463,
            524,
            464,
            464,
            524,
            525,
            464,
            525,
            465,
            465,
            525,
            526,
            465,
            526,
            466,
            466,
            526,
            527,
            466,
            527,
            467,
            467,
            527,
            528,
            467,
            528,
            468,
            468,
            528,
            529,
            468,
            529,
            469,
            469,
            529,
            530,
            469,
            530,
            470,
            470,
            530,
            531,
            470,
            531,
            471,
            471,
            531,
            532,
            471,
            532,
            472,
            472,
            532,
            533,
            472,
            533,
            473,
            473,
            533,
            534,
            473,
            534,
            474,
            474,
            534,
            535,
            474,
            535,
            475,
            475,
            535,
            536,
            475,
            536,
            476,
            476,
            536,
            537,
            476,
            537,
            477,
            477,
            537,
            538,
            477,
            538,
            478,
            478,
            538,
            539,
            478,
            539,
            479,
            479,
            539,
            540,
            479,
            540,
            480,
            480,
            540,
            541,
            480,
            541,
            481,
            481,
            541,
            542,
            481,
            542,
            482,
            482,
            542,
            543,
            482,
            543,
            483,
            483,
            543,
            544,
            483,
            544,
            484,
            484,
            544,
            545,
            484,
            545,
            485,
            485,
            545,
            546,
            485,
            546,
            486,
            486,
            546,
            547,
            486,
            547,
            487,
            487,
            547,
            548,
            488,
            549,
            489,
            489,
            549,
            550,
            489,
            550,
            490,
            490,
            550,
            551,
            490,
            551,
            491,
            491,
            551,
            552,
            491,
            552,
            492,
            492,
            552,
            553,
            492,
            553,
            493,
            493,
            553,
            554,
            493,
            554,
            494,
            494,
            554,
            555,
            494,
            555,
            495,
            495,
            555,
            556,
            495,
            556,
            496,
            496,
            556,
            557,
            496,
            557,
            497,
            497,
            557,
            558,
            497,
            558,
            498,
            498,
            558,
            559,
            498,
            559,
            499,
            499,
            559,
            560,
            499,
            560,
            500,
            500,
            560,
            561,
            500,
            561,
            501,
            501,
            561,
            562,
            501,
            562,
            502,
            502,
            562,
            563,
            502,
            563,
            503,
            503,
            563,
            564,
            503,
            564,
            504,
            504,
            564,
            565,
            504,
            565,
            505,
            505,
            565,
            566,
            505,
            566,
            506,
            506,
            566,
            567,
            506,
            567,
            507,
            507,
            567,
            568,
            507,
            568,
            508,
            508,
            568,
            569,
            508,
            569,
            509,
            509,
            569,
            570,
            509,
            570,
            510,
            510,
            570,
            571,
            510,
            571,
            511,
            511,
            571,
            572,
            511,
            572,
            512,
            512,
            572,
            573,
            512,
            573,
            513,
            513,
            573,
            574,
            513,
            574,
            514,
            514,
            574,
            575,
            514,
            575,
            515,
            515,
            575,
            576,
            515,
            576,
            516,
            516,
            576,
            577,
            516,
            577,
            517,
            517,
            577,
            578,
            517,
            578,
            518,
            518,
            578,
            579,
            518,
            579,
            519,
            519,
            579,
            580,
            519,
            580,
            520,
            520,
            580,
            581,
            520,
            581,
            521,
            521,
            581,
            582,
            521,
            582,
            522,
            522,
            582,
            583,
            522,
            583,
            523,
            523,
            583,
            584,
            523,
            584,
            524,
            524,
            584,
            585,
            524,
            585,
            525,
            525,
            585,
            586,
            525,
            586,
            526,
            526,
            586,
            587,
            526,
            587,
            527,
            527,
            587,
            588,
            527,
            588,
            528,
            528,
            588,
            589,
            528,
            589,
            529,
            529,
            589,
            590,
            529,
            590,
            530,
            530,
            590,
            591,
            530,
            591,
            531,
            531,
            591,
            592,
            531,
            592,
            532,
            532,
            592,
            593,
            532,
            593,
            533,
            533,
            593,
            594,
            533,
            594,
            534,
            534,
            594,
            595,
            534,
            595,
            535,
            535,
            595,
            596,
            535,
            596,
            536,
            536,
            596,
            597,
            536,
            597,
            537,
            537,
            597,
            598,
            537,
            598,
            538,
            538,
            598,
            599,
            538,
            599,
            539,
            539,
            599,
            600,
            539,
            600,
            540,
            540,
            600,
            601,
            540,
            601,
            541,
            541,
            601,
            602,
            541,
            602,
            542,
            542,
            602,
            603,
            542,
            603,
            543,
            543,
            603,
            604,
            543,
            604,
            544,
            544,
            604,
            605,
            544,
            605,
            545,
            545,
            605,
            606,
            545,
            606,
            546,
            546,
            606,
            607,
            546,
            607,
            547,
            547,
            607,
            608,
            547,
            608,
            548,
            548,
            608,
            609,
            549,
            610,
            550,
            550,
            610,
            611,
            550,
            611,
            551,
            551,
            611,
            612,
            551,
            612,
            552,
            552,
            612,
            613,
            552,
            613,
            553,
            553,
            613,
            614,
            553,
            614,
            554,
            554,
            614,
            615,
            554,
            615,
            555,
            555,
            615,
            616,
            555,
            616,
            556,
            556,
            616,
            617,
            556,
            617,
            557,
            557,
            617,
            618,
            557,
            618,
            558,
            558,
            618,
            619,
            558,
            619,
            559,
            559,
            619,
            620,
            559,
            620,
            560,
            560,
            620,
            621,
            560,
            621,
            561,
            561,
            621,
            622,
            561,
            622,
            562,
            562,
            622,
            623,
            562,
            623,
            563,
            563,
            623,
            624,
            563,
            624,
            564,
            564,
            624,
            625,
            564,
            625,
            565,
            565,
            625,
            626,
            565,
            626,
            566,
            566,
            626,
            627,
            566,
            627,
            567,
            567,
            627,
            628,
            567,
            628,
            568,
            568,
            628,
            629,
            568,
            629,
            569,
            569,
            629,
            630,
            569,
            630,
            570,
            570,
            630,
            631,
            570,
            631,
            571,
            571,
            631,
            632,
            571,
            632,
            572,
            572,
            632,
            633,
            572,
            633,
            573,
            573,
            633,
            634,
            573,
            634,
            574,
            574,
            634,
            635,
            574,
            635,
            575,
            575,
            635,
            636,
            575,
            636,
            576,
            576,
            636,
            637,
            576,
            637,
            577,
            577,
            637,
            638,
            577,
            638,
            578,
            578,
            638,
            639,
            578,
            639,
            579,
            579,
            639,
            640,
            579,
            640,
            580,
            580,
            640,
            641,
            580,
            641,
            581,
            581,
            641,
            642,
            581,
            642,
            582,
            582,
            642,
            643,
            582,
            643,
            583,
            583,
            643,
            644,
            583,
            644,
            584,
            584,
            644,
            645,
            584,
            645,
            585,
            585,
            645,
            646,
            585,
            646,
            586,
            586,
            646,
            647,
            586,
            647,
            587,
            587,
            647,
            648,
            587,
            648,
            588,
            588,
            648,
            649,
            588,
            649,
            589,
            589,
            649,
            650,
            589,
            650,
            590,
            590,
            650,
            651,
            590,
            651,
            591,
            591,
            651,
            652,
            591,
            652,
            592,
            592,
            652,
            653,
            592,
            653,
            593,
            593,
            653,
            654,
            593,
            654,
            594,
            594,
            654,
            655,
            594,
            655,
            595,
            595,
            655,
            656,
            595,
            656,
            596,
            596,
            656,
            657,
            596,
            657,
            597,
            597,
            657,
            658,
            597,
            658,
            598,
            598,
            658,
            659,
            598,
            659,
            599,
            599,
            659,
            660,
            599,
            660,
            600,
            600,
            660,
            661,
            600,
            661,
            601,
            601,
            661,
            662,
            601,
            662,
            602,
            602,
            662,
            663,
            602,
            663,
            603,
            603,
            663,
            664,
            603,
            664,
            604,
            604,
            664,
            665,
            604,
            665,
            605,
            605,
            665,
            666,
            605,
            666,
            606,
            606,
            666,
            667,
            606,
            667,
            607,
            607,
            667,
            668,
            607,
            668,
            608,
            608,
            668,
            669,
            608,
            669,
            609,
            609,
            669,
            670,
            610,
            671,
            611,
            611,
            671,
            672,
            611,
            672,
            612,
            612,
            672,
            673,
            612,
            673,
            613,
            613,
            673,
            674,
            613,
            674,
            614,
            614,
            674,
            675,
            614,
            675,
            615,
            615,
            675,
            676,
            615,
            676,
            616,
            616,
            676,
            677,
            616,
            677,
            617,
            617,
            677,
            678,
            617,
            678,
            618,
            618,
            678,
            679,
            618,
            679,
            619,
            619,
            679,
            680,
            619,
            680,
            620,
            620,
            680,
            681,
            620,
            681,
            621,
            621,
            681,
            682,
            621,
            682,
            622,
            622,
            682,
            683,
            622,
            683,
            623,
            623,
            683,
            684,
            623,
            684,
            624,
            624,
            684,
            685,
            624,
            685,
            625,
            625,
            685,
            686,
            625,
            686,
            626,
            626,
            686,
            687,
            626,
            687,
            627,
            627,
            687,
            688,
            627,
            688,
            628,
            628,
            688,
            689,
            628,
            689,
            629,
            629,
            689,
            690,
            629,
            690,
            630,
            630,
            690,
            691,
            630,
            691,
            631,
            631,
            691,
            692,
            631,
            692,
            632,
            632,
            692,
            693,
            632,
            693,
            633,
            633,
            693,
            694,
            633,
            694,
            634,
            634,
            694,
            695,
            634,
            695,
            635,
            635,
            695,
            696,
            635,
            696,
            636,
            636,
            696,
            697,
            636,
            697,
            637,
            637,
            697,
            698,
            637,
            698,
            638,
            638,
            698,
            699,
            638,
            699,
            639,
            639,
            699,
            700,
            639,
            700,
            640,
            640,
            700,
            701,
            640,
            701,
            641,
            641,
            701,
            702,
            641,
            702,
            642,
            642,
            702,
            703,
            642,
            703,
            643,
            643,
            703,
            704,
            643,
            704,
            644,
            644,
            704,
            705,
            644,
            705,
            645,
            645,
            705,
            706,
            645,
            706,
            646,
            646,
            706,
            707,
            646,
            707,
            647,
            647,
            707,
            708,
            647,
            708,
            648,
            648,
            708,
            709,
            648,
            709,
            649,
            649,
            709,
            710,
            649,
            710,
            650,
            650,
            710,
            711,
            650,
            711,
            651,
            651,
            711,
            712,
            651,
            712,
            652,
            652,
            712,
            713,
            652,
            713,
            653,
            653,
            713,
            714,
            653,
            714,
            654,
            654,
            714,
            715,
            654,
            715,
            655,
            655,
            715,
            716,
            655,
            716,
            656,
            656,
            716,
            717,
            656,
            717,
            657,
            657,
            717,
            718,
            657,
            718,
            658,
            658,
            718,
            719,
            658,
            719,
            659,
            659,
            719,
            720,
            659,
            720,
            660,
            660,
            720,
            721,
            660,
            721,
            661,
            661,
            721,
            722,
            661,
            722,
            662,
            662,
            722,
            723,
            662,
            723,
            663,
            663,
            723,
            724,
            663,
            724,
            664,
            664,
            724,
            725,
            664,
            725,
            665,
            665,
            725,
            726,
            665,
            726,
            666,
            666,
            726,
            727,
            666,
            727,
            667,
            667,
            727,
            728,
            667,
            728,
            668,
            668,
            728,
            729,
            668,
            729,
            669,
            669,
            729,
            730,
            669,
            730,
            670,
            670,
            730,
            731,
            671,
            732,
            672,
            672,
            732,
            733,
            672,
            733,
            673,
            673,
            733,
            734,
            673,
            734,
            674,
            674,
            734,
            735,
            674,
            735,
            675,
            675,
            735,
            736,
            675,
            736,
            676,
            676,
            736,
            737,
            676,
            737,
            677,
            677,
            737,
            738,
            677,
            738,
            678,
            678,
            738,
            739,
            678,
            739,
            679,
            679,
            739,
            740,
            679,
            740,
            680,
            680,
            740,
            741,
            680,
            741,
            681,
            681,
            741,
            742,
            681,
            742,
            682,
            682,
            742,
            743,
            682,
            743,
            683,
            683,
            743,
            744,
            683,
            744,
            684,
            684,
            744,
            745,
            684,
            745,
            685,
            685,
            745,
            746,
            685,
            746,
            686,
            686,
            746,
            747,
            686,
            747,
            687,
            687,
            747,
            748,
            687,
            748,
            688,
            688,
            748,
            749,
            688,
            749,
            689,
            689,
            749,
            750,
            689,
            750,
            690,
            690,
            750,
            751,
            690,
            751,
            691,
            691,
            751,
            752,
            691,
            752,
            692,
            692,
            752,
            753,
            692,
            753,
            693,
            693,
            753,
            754,
            693,
            754,
            694,
            694,
            754,
            755,
            694,
            755,
            695,
            695,
            755,
            756,
            695,
            756,
            696,
            696,
            756,
            757,
            696,
            757,
            697,
            697,
            757,
            758,
            697,
            758,
            698,
            698,
            758,
            759,
            698,
            759,
            699,
            699,
            759,
            760,
            699,
            760,
            700,
            700,
            760,
            761,
            700,
            761,
            701,
            701,
            761,
            762,
            701,
            762,
            702,
            702,
            762,
            763,
            702,
            763,
            703,
            703,
            763,
            764,
            703,
            764,
            704,
            704,
            764,
            765,
            704,
            765,
            705,
            705,
            765,
            766,
            705,
            766,
            706,
            706,
            766,
            767,
            706,
            767,
            707,
            707,
            767,
            768,
            707,
            768,
            708,
            708,
            768,
            769,
            708,
            769,
            709,
            709,
            769,
            770,
            709,
            770,
            710,
            710,
            770,
            771,
            710,
            771,
            711,
            711,
            771,
            772,
            711,
            772,
            712,
            712,
            772,
            773,
            712,
            773,
            713,
            713,
            773,
            774,
            713,
            774,
            714,
            714,
            774,
            775,
            714,
            775,
            715,
            715,
            775,
            776,
            715,
            776,
            716,
            716,
            776,
            777,
            716,
            777,
            717,
            717,
            777,
            778,
            717,
            778,
            718,
            718,
            778,
            779,
            718,
            779,
            719,
            719,
            779,
            780,
            719,
            780,
            720,
            720,
            780,
            781,
            720,
            781,
            721,
            721,
            781,
            782,
            721,
            782,
            722,
            722,
            782,
            783,
            722,
            783,
            723,
            723,
            783,
            784,
            723,
            784,
            724,
            724,
            784,
            785,
            724,
            785,
            725,
            725,
            785,
            786,
            725,
            786,
            726,
            726,
            786,
            787,
            726,
            787,
            727,
            727,
            787,
            788,
            727,
            788,
            728,
            728,
            788,
            789,
            728,
            789,
            729,
            729,
            789,
            790,
            729,
            790,
            730,
            730,
            790,
            791,
            730,
            791,
            731,
            731,
            791,
            792,
            732,
            793,
            733,
            733,
            793,
            794,
            733,
            794,
            734,
            734,
            794,
            795,
            734,
            795,
            735,
            735,
            795,
            796,
            735,
            796,
            736,
            736,
            796,
            797,
            736,
            797,
            737,
            737,
            797,
            798,
            737,
            798,
            738,
            738,
            798,
            799,
            738,
            799,
            739,
            739,
            799,
            800,
            739,
            800,
            740,
            740,
            800,
            801,
            740,
            801,
            741,
            741,
            801,
            802,
            741,
            802,
            742,
            742,
            802,
            803,
            742,
            803,
            743,
            743,
            803,
            804,
            743,
            804,
            744,
            744,
            804,
            805,
            744,
            805,
            745,
            745,
            805,
            806,
            745,
            806,
            746,
            746,
            806,
            807,
            746,
            807,
            747,
            747,
            807,
            808,
            747,
            808,
            748,
            748,
            808,
            809,
            748,
            809,
            749,
            749,
            809,
            810,
            749,
            810,
            750,
            750,
            810,
            811,
            750,
            811,
            751,
            751,
            811,
            812,
            751,
            812,
            752,
            752,
            812,
            813,
            752,
            813,
            753,
            753,
            813,
            814,
            753,
            814,
            754,
            754,
            814,
            815,
            754,
            815,
            755,
            755,
            815,
            816,
            755,
            816,
            756,
            756,
            816,
            817,
            756,
            817,
            757,
            757,
            817,
            818,
            757,
            818,
            758,
            758,
            818,
            819,
            758,
            819,
            759,
            759,
            819,
            820,
            759,
            820,
            760,
            760,
            820,
            821,
            760,
            821,
            761,
            761,
            821,
            822,
            761,
            822,
            762,
            762,
            822,
            823,
            762,
            823,
            763,
            763,
            823,
            824,
            763,
            824,
            764,
            764,
            824,
            825,
            764,
            825,
            765,
            765,
            825,
            826,
            765,
            826,
            766,
            766,
            826,
            827,
            766,
            827,
            767,
            767,
            827,
            828,
            767,
            828,
            768,
            768,
            828,
            829,
            768,
            829,
            769,
            769,
            829,
            830,
            769,
            830,
            770,
            770,
            830,
            831,
            770,
            831,
            771,
            771,
            831,
            832,
            771,
            832,
            772,
            772,
            832,
            833,
            772,
            833,
            773,
            773,
            833,
            834,
            773,
            834,
            774,
            774,
            834,
            835,
            774,
            835,
            775,
            775,
            835,
            836,
            775,
            836,
            776,
            776,
            836,
            837,
            776,
            837,
            777,
            777,
            837,
            838,
            777,
            838,
            778,
            778,
            838,
            839,
            778,
            839,
            779,
            779,
            839,
            840,
            779,
            840,
            780,
            780,
            840,
            841,
            780,
            841,
            781,
            781,
            841,
            842,
            781,
            842,
            782,
            782,
            842,
            843,
            782,
            843,
            783,
            783,
            843,
            844,
            783,
            844,
            784,
            784,
            844,
            845,
            784,
            845,
            785,
            785,
            845,
            846,
            785,
            846,
            786,
            786,
            846,
            847,
            786,
            847,
            787,
            787,
            847,
            848,
            787,
            848,
            788,
            788,
            848,
            849,
            788,
            849,
            789,
            789,
            849,
            850,
            789,
            850,
            790,
            790,
            850,
            851,
            790,
            851,
            791,
            791,
            851,
            852,
            791,
            852,
            792,
            792,
            852,
            853,
            793,
            854,
            794,
            794,
            854,
            855,
            794,
            855,
            795,
            795,
            855,
            856,
            795,
            856,
            796,
            796,
            856,
            857,
            796,
            857,
            797,
            797,
            857,
            858,
            797,
            858,
            798,
            798,
            858,
            859,
            798,
            859,
            799,
            799,
            859,
            860,
            799,
            860,
            800,
            800,
            860,
            861,
            800,
            861,
            801,
            801,
            861,
            862,
            801,
            862,
            802,
            802,
            862,
            863,
            802,
            863,
            803,
            803,
            863,
            864,
            803,
            864,
            804,
            804,
            864,
            865,
            804,
            865,
            805,
            805,
            865,
            866,
            805,
            866,
            806,
            806,
            866,
            867,
            806,
            867,
            807,
            807,
            867,
            868,
            807,
            868,
            808,
            808,
            868,
            869,
            808,
            869,
            809,
            809,
            869,
            870,
            809,
            870,
            810,
            810,
            870,
            871,
            810,
            871,
            811,
            811,
            871,
            872,
            811,
            872,
            812,
            812,
            872,
            873,
            812,
            873,
            813,
            813,
            873,
            874,
            813,
            874,
            814,
            814,
            874,
            875,
            814,
            875,
            815,
            815,
            875,
            876,
            815,
            876,
            816,
            816,
            876,
            877,
            816,
            877,
            817,
            817,
            877,
            878,
            817,
            878,
            818,
            818,
            878,
            879,
            818,
            879,
            819,
            819,
            879,
            880,
            819,
            880,
            820,
            820,
            880,
            881,
            820,
            881,
            821,
            821,
            881,
            882,
            821,
            882,
            822,
            822,
            882,
            883,
            822,
            883,
            823,
            823,
            883,
            884,
            823,
            884,
            824,
            824,
            884,
            885,
            824,
            885,
            825,
            825,
            885,
            886,
            825,
            886,
            826,
            826,
            886,
            887,
            826,
            887,
            827,
            827,
            887,
            888,
            827,
            888,
            828,
            828,
            888,
            889,
            828,
            889,
            829,
            829,
            889,
            890,
            829,
            890,
            830,
            830,
            890,
            891,
            830,
            891,
            831,
            831,
            891,
            892,
            831,
            892,
            832,
            832,
            892,
            893,
            832,
            893,
            833,
            833,
            893,
            894,
            833,
            894,
            834,
            834,
            894,
            895,
            834,
            895,
            835,
            835,
            895,
            896,
            835,
            896,
            836,
            836,
            896,
            897,
            836,
            897,
            837,
            837,
            897,
            898,
            837,
            898,
            838,
            838,
            898,
            899,
            838,
            899,
            839,
            839,
            899,
            900,
            839,
            900,
            840,
            840,
            900,
            901,
            840,
            901,
            841,
            841,
            901,
            902,
            841,
            902,
            842,
            842,
            902,
            903,
            842,
            903,
            843,
            843,
            903,
            904,
            843,
            904,
            844,
            844,
            904,
            905,
            844,
            905,
            845,
            845,
            905,
            906,
            845,
            906,
            846,
            846,
            906,
            907,
            846,
            907,
            847,
            847,
            907,
            908,
            847,
            908,
            848,
            848,
            908,
            909,
            848,
            909,
            849,
            849,
            909,
            910,
            849,
            910,
            850,
            850,
            910,
            911,
            850,
            911,
            851,
            851,
            911,
            912,
            851,
            912,
            852,
            852,
            912,
            913,
            852,
            913,
            853,
            853,
            913,
            914,
            854,
            915,
            855,
            855,
            915,
            916,
            855,
            916,
            856,
            856,
            916,
            917,
            856,
            917,
            857,
            857,
            917,
            918,
            857,
            918,
            858,
            858,
            918,
            919,
            858,
            919,
            859,
            859,
            919,
            920,
            859,
            920,
            860,
            860,
            920,
            921,
            860,
            921,
            861,
            861,
            921,
            922,
            861,
            922,
            862,
            862,
            922,
            923,
            862,
            923,
            863,
            863,
            923,
            924,
            863,
            924,
            864,
            864,
            924,
            925,
            864,
            925,
            865,
            865,
            925,
            926,
            865,
            926,
            866,
            866,
            926,
            927,
            866,
            927,
            867,
            867,
            927,
            928,
            867,
            928,
            868,
            868,
            928,
            929,
            868,
            929,
            869,
            869,
            929,
            930,
            869,
            930,
            870,
            870,
            930,
            931,
            870,
            931,
            871,
            871,
            931,
            932,
            871,
            932,
            872,
            872,
            932,
            933,
            872,
            933,
            873,
            873,
            933,
            934,
            873,
            934,
            874,
            874,
            934,
            935,
            874,
            935,
            875,
            875,
            935,
            936,
            875,
            936,
            876,
            876,
            936,
            937,
            876,
            937,
            877,
            877,
            937,
            938,
            877,
            938,
            878,
            878,
            938,
            939,
            878,
            939,
            879,
            879,
            939,
            940,
            879,
            940,
            880,
            880,
            940,
            941,
            880,
            941,
            881,
            881,
            941,
            942,
            881,
            942,
            882,
            882,
            942,
            943,
            882,
            943,
            883,
            883,
            943,
            944,
            883,
            944,
            884,
            884,
            944,
            945,
            884,
            945,
            885,
            885,
            945,
            946,
            885,
            946,
            886,
            886,
            946,
            947,
            886,
            947,
            887,
            887,
            947,
            948,
            887,
            948,
            888,
            888,
            948,
            949,
            888,
            949,
            889,
            889,
            949,
            950,
            889,
            950,
            890,
            890,
            950,
            951,
            890,
            951,
            891,
            891,
            951,
            952,
            891,
            952,
            892,
            892,
            952,
            953,
            892,
            953,
            893,
            893,
            953,
            954,
            893,
            954,
            894,
            894,
            954,
            955,
            894,
            955,
            895,
            895,
            955,
            956,
            895,
            956,
            896,
            896,
            956,
            957,
            896,
            957,
            897,
            897,
            957,
            958,
            897,
            958,
            898,
            898,
            958,
            959,
            898,
            959,
            899,
            899,
            959,
            960,
            899,
            960,
            900,
            900,
            960,
            961,
            900,
            961,
            901,
            901,
            961,
            962,
            901,
            962,
            902,
            902,
            962,
            963,
            902,
            963,
            903,
            903,
            963,
            964,
            903,
            964,
            904,
            904,
            964,
            965,
            904,
            965,
            905,
            905,
            965,
            966,
            905,
            966,
            906,
            906,
            966,
            967,
            906,
            967,
            907,
            907,
            967,
            968,
            907,
            968,
            908,
            908,
            968,
            969,
            908,
            969,
            909,
            909,
            969,
            970,
            909,
            970,
            910,
            910,
            970,
            971,
            910,
            971,
            911,
            911,
            971,
            972,
            911,
            972,
            912,
            912,
            972,
            973,
            912,
            973,
            913,
            913,
            973,
            974,
            913,
            974,
            914,
            914,
            974,
            975,
            915,
            976,
            916,
            916,
            976,
            977,
            916,
            977,
            917,
            917,
            977,
            978,
            917,
            978,
            918,
            918,
            978,
            979,
            918,
            979,
            919,
            919,
            979,
            980,
            919,
            980,
            920,
            920,
            980,
            981,
            920,
            981,
            921,
            921,
            981,
            982,
            921,
            982,
            922,
            922,
            982,
            983,
            922,
            983,
            923,
            923,
            983,
            984,
            923,
            984,
            924,
            924,
            984,
            985,
            924,
            985,
            925,
            925,
            985,
            986,
            925,
            986,
            926,
            926,
            986,
            987,
            926,
            987,
            927,
            927,
            987,
            988,
            927,
            988,
            928,
            928,
            988,
            989,
            928,
            989,
            929,
            929,
            989,
            990,
            929,
            990,
            930,
            930,
            990,
            991,
            930,
            991,
            931,
            931,
            991,
            992,
            931,
            992,
            932,
            932,
            992,
            993,
            932,
            993,
            933,
            933,
            993,
            994,
            933,
            994,
            934,
            934,
            994,
            995,
            934,
            995,
            935,
            935,
            995,
            996,
            935,
            996,
            936,
            936,
            996,
            997,
            936,
            997,
            937,
            937,
            997,
            998,
            937,
            998,
            938,
            938,
            998,
            999,
            938,
            999,
            939,
            939,
            999,
            1000,
            939,
            1000,
            940,
            940,
            1000,
            1001,
            940,
            1001,
            941,
            941,
            1001,
            1002,
            941,
            1002,
            942,
            942,
            1002,
            1003,
            942,
            1003,
            943,
            943,
            1003,
            1004,
            943,
            1004,
            944,
            944,
            1004,
            1005,
            944,
            1005,
            945,
            945,
            1005,
            1006,
            945,
            1006,
            946,
            946,
            1006,
            1007,
            946,
            1007,
            947,
            947,
            1007,
            1008,
            947,
            1008,
            948,
            948,
            1008,
            1009,
            948,
            1009,
            949,
            949,
            1009,
            1010,
            949,
            1010,
            950,
            950,
            1010,
            1011,
            950,
            1011,
            951,
            951,
            1011,
            1012,
            951,
            1012,
            952,
            952,
            1012,
            1013,
            952,
            1013,
            953,
            953,
            1013,
            1014,
            953,
            1014,
            954,
            954,
            1014,
            1015,
            954,
            1015,
            955,
            955,
            1015,
            1016,
            955,
            1016,
            956,
            956,
            1016,
            1017,
            956,
            1017,
            957,
            957,
            1017,
            1018,
            957,
            1018,
            958,
            958,
            1018,
            1019,
            958,
            1019,
            959,
            959,
            1019,
            1020,
            959,
            1020,
            960,
            960,
            1020,
            1021,
            960,
            1021,
            961,
            961,
            1021,
            1022,
            961,
            1022,
            962,
            962,
            1022,
            1023,
            962,
            1023,
            963,
            963,
            1023,
            1024,
            963,
            1024,
            964,
            964,
            1024,
            1025,
            964,
            1025,
            965,
            965,
            1025,
            1026,
            965,
            1026,
            966,
            966,
            1026,
            1027,
            966,
            1027,
            967,
            967,
            1027,
            1028,
            967,
            1028,
            968,
            968,
            1028,
            1029,
            968,
            1029,
            969,
            969,
            1029,
            1030,
            969,
            1030,
            970,
            970,
            1030,
            1031,
            970,
            1031,
            971,
            971,
            1031,
            1032,
            971,
            1032,
            972,
            972,
            1032,
            1033,
            972,
            1033,
            973,
            973,
            1033,
            1034,
            973,
            1034,
            974,
            974,
            1034,
            1035,
            974,
            1035,
            975,
            975,
            1035,
            1036,
            976,
            1037,
            977,
            977,
            1037,
            1038,
            977,
            1038,
            978,
            978,
            1038,
            1039,
            978,
            1039,
            979,
            979,
            1039,
            1040,
            979,
            1040,
            980,
            980,
            1040,
            1041,
            980,
            1041,
            981,
            981,
            1041,
            1042,
            981,
            1042,
            982,
            982,
            1042,
            1043,
            982,
            1043,
            983,
            983,
            1043,
            1044,
            983,
            1044,
            984,
            984,
            1044,
            1045,
            984,
            1045,
            985,
            985,
            1045,
            1046,
            985,
            1046,
            986,
            986,
            1046,
            1047,
            986,
            1047,
            987,
            987,
            1047,
            1048,
            987,
            1048,
            988,
            988,
            1048,
            1049,
            988,
            1049,
            989,
            989,
            1049,
            1050,
            989,
            1050,
            990,
            990,
            1050,
            1051,
            990,
            1051,
            991,
            991,
            1051,
            1052,
            991,
            1052,
            992,
            992,
            1052,
            1053,
            992,
            1053,
            993,
            993,
            1053,
            1054,
            993,
            1054,
            994,
            994,
            1054,
            1055,
            994,
            1055,
            995,
            995,
            1055,
            1056,
            995,
            1056,
            996,
            996,
            1056,
            1057,
            996,
            1057,
            997,
            997,
            1057,
            1058,
            997,
            1058,
            998,
            998,
            1058,
            1059,
            998,
            1059,
            999,
            999,
            1059,
            1060,
            999,
            1060,
            1000,
            1000,
            1060,
            1061,
            1000,
            1061,
            1001,
            1001,
            1061,
            1062,
            1001,
            1062,
            1002,
            1002,
            1062,
            1063,
            1002,
            1063,
            1003,
            1003,
            1063,
            1064,
            1003,
            1064,
            1004,
            1004,
            1064,
            1065,
            1004,
            1065,
            1005,
            1005,
            1065,
            1066,
            1005,
            1066,
            1006,
            1006,
            1066,
            1067,
            1006,
            1067,
            1007,
            1007,
            1067,
            1068,
            1007,
            1068,
            1008,
            1008,
            1068,
            1069,
            1008,
            1069,
            1009,
            1009,
            1069,
            1070,
            1009,
            1070,
            1010,
            1010,
            1070,
            1071,
            1010,
            1071,
            1011,
            1011,
            1071,
            1072,
            1011,
            1072,
            1012,
            1012,
            1072,
            1073,
            1012,
            1073,
            1013,
            1013,
            1073,
            1074,
            1013,
            1074,
            1014,
            1014,
            1074,
            1075,
            1014,
            1075,
            1015,
            1015,
            1075,
            1076,
            1015,
            1076,
            1016,
            1016,
            1076,
            1077,
            1016,
            1077,
            1017,
            1017,
            1077,
            1078,
            1017,
            1078,
            1018,
            1018,
            1078,
            1079,
            1018,
            1079,
            1019,
            1019,
            1079,
            1080,
            1019,
            1080,
            1020,
            1020,
            1080,
            1081,
            1020,
            1081,
            1021,
            1021,
            1081,
            1082,
            1021,
            1082,
            1022,
            1022,
            1082,
            1083,
            1022,
            1083,
            1023,
            1023,
            1083,
            1084,
            1023,
            1084,
            1024,
            1024,
            1084,
            1085,
            1024,
            1085,
            1025,
            1025,
            1085,
            1086,
            1025,
            1086,
            1026,
            1026,
            1086,
            1087,
            1026,
            1087,
            1027,
            1027,
            1087,
            1088,
            1027,
            1088,
            1028,
            1028,
            1088,
            1089,
            1028,
            1089,
            1029,
            1029,
            1089,
            1090,
            1029,
            1090,
            1030,
            1030,
            1090,
            1091,
            1030,
            1091,
            1031,
            1031,
            1091,
            1092,
            1031,
            1092,
            1032,
            1032,
            1092,
            1093,
            1032,
            1093,
            1033,
            1033,
            1093,
            1094,
            1033,
            1094,
            1034,
            1034,
            1094,
            1095,
            1034,
            1095,
            1035,
            1035,
            1095,
            1096,
            1035,
            1096,
            1036,
            1036,
            1096,
            1097,
            1037,
            1098,
            1038,
            1038,
            1098,
            1099,
            1038,
            1099,
            1039,
            1039,
            1099,
            1100,
            1039,
            1100,
            1040,
            1040,
            1100,
            1101,
            1040,
            1101,
            1041,
            1041,
            1101,
            1102,
            1041,
            1102,
            1042,
            1042,
            1102,
            1103,
            1042,
            1103,
            1043,
            1043,
            1103,
            1104,
            1043,
            1104,
            1044,
            1044,
            1104,
            1105,
            1044,
            1105,
            1045,
            1045,
            1105,
            1106,
            1045,
            1106,
            1046,
            1046,
            1106,
            1107,
            1046,
            1107,
            1047,
            1047,
            1107,
            1108,
            1047,
            1108,
            1048,
            1048,
            1108,
            1109,
            1048,
            1109,
            1049,
            1049,
            1109,
            1110,
            1049,
            1110,
            1050,
            1050,
            1110,
            1111,
            1050,
            1111,
            1051,
            1051,
            1111,
            1112,
            1051,
            1112,
            1052,
            1052,
            1112,
            1113,
            1052,
            1113,
            1053,
            1053,
            1113,
            1114,
            1053,
            1114,
            1054,
            1054,
            1114,
            1115,
            1054,
            1115,
            1055,
            1055,
            1115,
            1116,
            1055,
            1116,
            1056,
            1056,
            1116,
            1117,
            1056,
            1117,
            1057,
            1057,
            1117,
            1118,
            1057,
            1118,
            1058,
            1058,
            1118,
            1119,
            1058,
            1119,
            1059,
            1059,
            1119,
            1120,
            1059,
            1120,
            1060,
            1060,
            1120,
            1121,
            1060,
            1121,
            1061,
            1061,
            1121,
            1122,
            1061,
            1122,
            1062,
            1062,
            1122,
            1123,
            1062,
            1123,
            1063,
            1063,
            1123,
            1124,
            1063,
            1124,
            1064,
            1064,
            1124,
            1125,
            1064,
            1125,
            1065,
            1065,
            1125,
            1126,
            1065,
            1126,
            1066,
            1066,
            1126,
            1127,
            1066,
            1127,
            1067,
            1067,
            1127,
            1128,
            1067,
            1128,
            1068,
            1068,
            1128,
            1129,
            1068,
            1129,
            1069,
            1069,
            1129,
            1130,
            1069,
            1130,
            1070,
            1070,
            1130,
            1131,
            1070,
            1131,
            1071,
            1071,
            1131,
            1132,
            1071,
            1132,
            1072,
            1072,
            1132,
            1133,
            1072,
            1133,
            1073,
            1073,
            1133,
            1134,
            1073,
            1134,
            1074,
            1074,
            1134,
            1135,
            1074,
            1135,
            1075,
            1075,
            1135,
            1136,
            1075,
            1136,
            1076,
            1076,
            1136,
            1137,
            1076,
            1137,
            1077,
            1077,
            1137,
            1138,
            1077,
            1138,
            1078,
            1078,
            1138,
            1139,
            1078,
            1139,
            1079,
            1079,
            1139,
            1140,
            1079,
            1140,
            1080,
            1080,
            1140,
            1141,
            1080,
            1141,
            1081,
            1081,
            1141,
            1142,
            1081,
            1142,
            1082,
            1082,
            1142,
            1143,
            1082,
            1143,
            1083,
            1083,
            1143,
            1144,
            1083,
            1144,
            1084,
            1084,
            1144,
            1145,
            1084,
            1145,
            1085,
            1085,
            1145,
            1146,
            1085,
            1146,
            1086,
            1086,
            1146,
            1147,
            1086,
            1147,
            1087,
            1087,
            1147,
            1148,
            1087,
            1148,
            1088,
            1088,
            1148,
            1149,
            1088,
            1149,
            1089,
            1089,
            1149,
            1150,
            1089,
            1150,
            1090,
            1090,
            1150,
            1151,
            1090,
            1151,
            1091,
            1091,
            1151,
            1152,
            1091,
            1152,
            1092,
            1092,
            1152,
            1153,
            1092,
            1153,
            1093,
            1093,
            1153,
            1154,
            1093,
            1154,
            1094,
            1094,
            1154,
            1155,
            1094,
            1155,
            1095,
            1095,
            1155,
            1156,
            1095,
            1156,
            1096,
            1096,
            1156,
            1157,
            1096,
            1157,
            1097,
            1097,
            1157,
            1158,
            1098,
            1159,
            1099,
            1099,
            1159,
            1160,
            1099,
            1160,
            1100,
            1100,
            1160,
            1161,
            1100,
            1161,
            1101,
            1101,
            1161,
            1162,
            1101,
            1162,
            1102,
            1102,
            1162,
            1163,
            1102,
            1163,
            1103,
            1103,
            1163,
            1164,
            1103,
            1164,
            1104,
            1104,
            1164,
            1165,
            1104,
            1165,
            1105,
            1105,
            1165,
            1166,
            1105,
            1166,
            1106,
            1106,
            1166,
            1167,
            1106,
            1167,
            1107,
            1107,
            1167,
            1168,
            1107,
            1168,
            1108,
            1108,
            1168,
            1169,
            1108,
            1169,
            1109,
            1109,
            1169,
            1170,
            1109,
            1170,
            1110,
            1110,
            1170,
            1171,
            1110,
            1171,
            1111,
            1111,
            1171,
            1172,
            1111,
            1172,
            1112,
            1112,
            1172,
            1173,
            1112,
            1173,
            1113,
            1113,
            1173,
            1174,
            1113,
            1174,
            1114,
            1114,
            1174,
            1175,
            1114,
            1175,
            1115,
            1115,
            1175,
            1176,
            1115,
            1176,
            1116,
            1116,
            1176,
            1177,
            1116,
            1177,
            1117,
            1117,
            1177,
            1178,
            1117,
            1178,
            1118,
            1118,
            1178,
            1179,
            1118,
            1179,
            1119,
            1119,
            1179,
            1180,
            1119,
            1180,
            1120,
            1120,
            1180,
            1181,
            1120,
            1181,
            1121,
            1121,
            1181,
            1182,
            1121,
            1182,
            1122,
            1122,
            1182,
            1183,
            1122,
            1183,
            1123,
            1123,
            1183,
            1184,
            1123,
            1184,
            1124,
            1124,
            1184,
            1185,
            1124,
            1185,
            1125,
            1125,
            1185,
            1186,
            1125,
            1186,
            1126,
            1126,
            1186,
            1187,
            1126,
            1187,
            1127,
            1127,
            1187,
            1188,
            1127,
            1188,
            1128,
            1128,
            1188,
            1189,
            1128,
            1189,
            1129,
            1129,
            1189,
            1190,
            1129,
            1190,
            1130,
            1130,
            1190,
            1191,
            1130,
            1191,
            1131,
            1131,
            1191,
            1192,
            1131,
            1192,
            1132,
            1132,
            1192,
            1193,
            1132,
            1193,
            1133,
            1133,
            1193,
            1194,
            1133,
            1194,
            1134,
            1134,
            1194,
            1195,
            1134,
            1195,
            1135,
            1135,
            1195,
            1196,
            1135,
            1196,
            1136,
            1136,
            1196,
            1197,
            1136,
            1197,
            1137,
            1137,
            1197,
            1198,
            1137,
            1198,
            1138,
            1138,
            1198,
            1199,
            1138,
            1199,
            1139,
            1139,
            1199,
            1200,
            1139,
            1200,
            1140,
            1140,
            1200,
            1201,
            1140,
            1201,
            1141,
            1141,
            1201,
            1202,
            1141,
            1202,
            1142,
            1142,
            1202,
            1203,
            1142,
            1203,
            1143,
            1143,
            1203,
            1204,
            1143,
            1204,
            1144,
            1144,
            1204,
            1205,
            1144,
            1205,
            1145,
            1145,
            1205,
            1206,
            1145,
            1206,
            1146,
            1146,
            1206,
            1207,
            1146,
            1207,
            1147,
            1147,
            1207,
            1208,
            1147,
            1208,
            1148,
            1148,
            1208,
            1209,
            1148,
            1209,
            1149,
            1149,
            1209,
            1210,
            1149,
            1210,
            1150,
            1150,
            1210,
            1211,
            1150,
            1211,
            1151,
            1151,
            1211,
            1212,
            1151,
            1212,
            1152,
            1152,
            1212,
            1213,
            1152,
            1213,
            1153,
            1153,
            1213,
            1214,
            1153,
            1214,
            1154,
            1154,
            1214,
            1215,
            1154,
            1215,
            1155,
            1155,
            1215,
            1216,
            1155,
            1216,
            1156,
            1156,
            1216,
            1217,
            1156,
            1217,
            1157,
            1157,
            1217,
            1218,
            1157,
            1218,
            1158,
            1158,
            1218,
            1219,
            1159,
            1220,
            1160,
            1160,
            1220,
            1221,
            1160,
            1221,
            1161,
            1161,
            1221,
            1222,
            1161,
            1222,
            1162,
            1162,
            1222,
            1223,
            1162,
            1223,
            1163,
            1163,
            1223,
            1224,
            1163,
            1224,
            1164,
            1164,
            1224,
            1225,
            1164,
            1225,
            1165,
            1165,
            1225,
            1226,
            1165,
            1226,
            1166,
            1166,
            1226,
            1227,
            1166,
            1227,
            1167,
            1167,
            1227,
            1228,
            1167,
            1228,
            1168,
            1168,
            1228,
            1229,
            1168,
            1229,
            1169,
            1169,
            1229,
            1230,
            1169,
            1230,
            1170,
            1170,
            1230,
            1231,
            1170,
            1231,
            1171,
            1171,
            1231,
            1232,
            1171,
            1232,
            1172,
            1172,
            1232,
            1233,
            1172,
            1233,
            1173,
            1173,
            1233,
            1234,
            1173,
            1234,
            1174,
            1174,
            1234,
            1235,
            1174,
            1235,
            1175,
            1175,
            1235,
            1236,
            1175,
            1236,
            1176,
            1176,
            1236,
            1237,
            1176,
            1237,
            1177,
            1177,
            1237,
            1238,
            1177,
            1238,
            1178,
            1178,
            1238,
            1239,
            1178,
            1239,
            1179,
            1179,
            1239,
            1240,
            1179,
            1240,
            1180,
            1180,
            1240,
            1241,
            1180,
            1241,
            1181,
            1181,
            1241,
            1242,
            1181,
            1242,
            1182,
            1182,
            1242,
            1243,
            1182,
            1243,
            1183,
            1183,
            1243,
            1244,
            1183,
            1244,
            1184,
            1184,
            1244,
            1245,
            1184,
            1245,
            1185,
            1185,
            1245,
            1246,
            1185,
            1246,
            1186,
            1186,
            1246,
            1247,
            1186,
            1247,
            1187,
            1187,
            1247,
            1248,
            1187,
            1248,
            1188,
            1188,
            1248,
            1249,
            1188,
            1249,
            1189,
            1189,
            1249,
            1250,
            1189,
            1250,
            1190,
            1190,
            1250,
            1251,
            1190,
            1251,
            1191,
            1191,
            1251,
            1252,
            1191,
            1252,
            1192,
            1192,
            1252,
            1253,
            1192,
            1253,
            1193,
            1193,
            1253,
            1254,
            1193,
            1254,
            1194,
            1194,
            1254,
            1255,
            1194,
            1255,
            1195,
            1195,
            1255,
            1256,
            1195,
            1256,
            1196,
            1196,
            1256,
            1257,
            1196,
            1257,
            1197,
            1197,
            1257,
            1258,
            1197,
            1258,
            1198,
            1198,
            1258,
            1259,
            1198,
            1259,
            1199,
            1199,
            1259,
            1260,
            1199,
            1260,
            1200,
            1200,
            1260,
            1261,
            1200,
            1261,
            1201,
            1201,
            1261,
            1262,
            1201,
            1262,
            1202,
            1202,
            1262,
            1263,
            1202,
            1263,
            1203,
            1203,
            1263,
            1264,
            1203,
            1264,
            1204,
            1204,
            1264,
            1265,
            1204,
            1265,
            1205,
            1205,
            1265,
            1266,
            1205,
            1266,
            1206,
            1206,
            1266,
            1267,
            1206,
            1267,
            1207,
            1207,
            1267,
            1268,
            1207,
            1268,
            1208,
            1208,
            1268,
            1269,
            1208,
            1269,
            1209,
            1209,
            1269,
            1270,
            1209,
            1270,
            1210,
            1210,
            1270,
            1271,
            1210,
            1271,
            1211,
            1211,
            1271,
            1272,
            1211,
            1272,
            1212,
            1212,
            1272,
            1273,
            1212,
            1273,
            1213,
            1213,
            1273,
            1274,
            1213,
            1274,
            1214,
            1214,
            1274,
            1275,
            1214,
            1275,
            1215,
            1215,
            1275,
            1276,
            1215,
            1276,
            1216,
            1216,
            1276,
            1277,
            1216,
            1277,
            1217,
            1217,
            1277,
            1278,
            1217,
            1278,
            1218,
            1218,
            1278,
            1279,
            1218,
            1279,
            1219,
            1219,
            1279,
            1280,
            1220,
            1281,
            1221,
            1221,
            1281,
            1282,
            1221,
            1282,
            1222,
            1222,
            1282,
            1283,
            1222,
            1283,
            1223,
            1223,
            1283,
            1284,
            1223,
            1284,
            1224,
            1224,
            1284,
            1285,
            1224,
            1285,
            1225,
            1225,
            1285,
            1286,
            1225,
            1286,
            1226,
            1226,
            1286,
            1287,
            1226,
            1287,
            1227,
            1227,
            1287,
            1288,
            1227,
            1288,
            1228,
            1228,
            1288,
            1289,
            1228,
            1289,
            1229,
            1229,
            1289,
            1290,
            1229,
            1290,
            1230,
            1230,
            1290,
            1291,
            1230,
            1291,
            1231,
            1231,
            1291,
            1292,
            1231,
            1292,
            1232,
            1232,
            1292,
            1293,
            1232,
            1293,
            1233,
            1233,
            1293,
            1294,
            1233,
            1294,
            1234,
            1234,
            1294,
            1295,
            1234,
            1295,
            1235,
            1235,
            1295,
            1296,
            1235,
            1296,
            1236,
            1236,
            1296,
            1297,
            1236,
            1297,
            1237,
            1237,
            1297,
            1298,
            1237,
            1298,
            1238,
            1238,
            1298,
            1299,
            1238,
            1299,
            1239,
            1239,
            1299,
            1300,
            1239,
            1300,
            1240,
            1240,
            1300,
            1301,
            1240,
            1301,
            1241,
            1241,
            1301,
            1302,
            1241,
            1302,
            1242,
            1242,
            1302,
            1303,
            1242,
            1303,
            1243,
            1243,
            1303,
            1304,
            1243,
            1304,
            1244,
            1244,
            1304,
            1305,
            1244,
            1305,
            1245,
            1245,
            1305,
            1306,
            1245,
            1306,
            1246,
            1246,
            1306,
            1307,
            1246,
            1307,
            1247,
            1247,
            1307,
            1308,
            1247,
            1308,
            1248,
            1248,
            1308,
            1309,
            1248,
            1309,
            1249,
            1249,
            1309,
            1310,
            1249,
            1310,
            1250,
            1250,
            1310,
            1311,
            1250,
            1311,
            1251,
            1251,
            1311,
            1312,
            1251,
            1312,
            1252,
            1252,
            1312,
            1313,
            1252,
            1313,
            1253,
            1253,
            1313,
            1314,
            1253,
            1314,
            1254,
            1254,
            1314,
            1315,
            1254,
            1315,
            1255,
            1255,
            1315,
            1316,
            1255,
            1316,
            1256,
            1256,
            1316,
            1317,
            1256,
            1317,
            1257,
            1257,
            1317,
            1318,
            1257,
            1318,
            1258,
            1258,
            1318,
            1319,
            1258,
            1319,
            1259,
            1259,
            1319,
            1320,
            1259,
            1320,
            1260,
            1260,
            1320,
            1321,
            1260,
            1321,
            1261,
            1261,
            1321,
            1322,
            1261,
            1322,
            1262,
            1262,
            1322,
            1323,
            1262,
            1323,
            1263,
            1263,
            1323,
            1324,
            1263,
            1324,
            1264,
            1264,
            1324,
            1325,
            1264,
            1325,
            1265,
            1265,
            1325,
            1326,
            1265,
            1326,
            1266,
            1266,
            1326,
            1327,
            1266,
            1327,
            1267,
            1267,
            1327,
            1328,
            1267,
            1328,
            1268,
            1268,
            1328,
            1329,
            1268,
            1329,
            1269,
            1269,
            1329,
            1330,
            1269,
            1330,
            1270,
            1270,
            1330,
            1331,
            1270,
            1331,
            1271,
            1271,
            1331,
            1332,
            1271,
            1332,
            1272,
            1272,
            1332,
            1333,
            1272,
            1333,
            1273,
            1273,
            1333,
            1334,
            1273,
            1334,
            1274,
            1274,
            1334,
            1335,
            1274,
            1335,
            1275,
            1275,
            1335,
            1336,
            1275,
            1336,
            1276,
            1276,
            1336,
            1337,
            1276,
            1337,
            1277,
            1277,
            1337,
            1338,
            1277,
            1338,
            1278,
            1278,
            1338,
            1339,
            1278,
            1339,
            1279,
            1279,
            1339,
            1340,
            1279,
            1340,
            1280,
            1280,
            1340,
            1341,
            1281,
            1342,
            1282,
            1282,
            1342,
            1343,
            1282,
            1343,
            1283,
            1283,
            1343,
            1344,
            1283,
            1344,
            1284,
            1284,
            1344,
            1345,
            1284,
            1345,
            1285,
            1285,
            1345,
            1346,
            1285,
            1346,
            1286,
            1286,
            1346,
            1347,
            1286,
            1347,
            1287,
            1287,
            1347,
            1348,
            1287,
            1348,
            1288,
            1288,
            1348,
            1349,
            1288,
            1349,
            1289,
            1289,
            1349,
            1350,
            1289,
            1350,
            1290,
            1290,
            1350,
            1351,
            1290,
            1351,
            1291,
            1291,
            1351,
            1352,
            1291,
            1352,
            1292,
            1292,
            1352,
            1353,
            1292,
            1353,
            1293,
            1293,
            1353,
            1354,
            1293,
            1354,
            1294,
            1294,
            1354,
            1355,
            1294,
            1355,
            1295,
            1295,
            1355,
            1356,
            1295,
            1356,
            1296,
            1296,
            1356,
            1357,
            1296,
            1357,
            1297,
            1297,
            1357,
            1358,
            1297,
            1358,
            1298,
            1298,
            1358,
            1359,
            1298,
            1359,
            1299,
            1299,
            1359,
            1360,
            1299,
            1360,
            1300,
            1300,
            1360,
            1361,
            1300,
            1361,
            1301,
            1301,
            1361,
            1362,
            1301,
            1362,
            1302,
            1302,
            1362,
            1363,
            1302,
            1363,
            1303,
            1303,
            1363,
            1364,
            1303,
            1364,
            1304,
            1304,
            1364,
            1365,
            1304,
            1365,
            1305,
            1305,
            1365,
            1366,
            1305,
            1366,
            1306,
            1306,
            1366,
            1367,
            1306,
            1367,
            1307,
            1307,
            1367,
            1368,
            1307,
            1368,
            1308,
            1308,
            1368,
            1369,
            1308,
            1369,
            1309,
            1309,
            1369,
            1370,
            1309,
            1370,
            1310,
            1310,
            1370,
            1371,
            1310,
            1371,
            1311,
            1311,
            1371,
            1372,
            1311,
            1372,
            1312,
            1312,
            1372,
            1373,
            1312,
            1373,
            1313,
            1313,
            1373,
            1374,
            1313,
            1374,
            1314,
            1314,
            1374,
            1375,
            1314,
            1375,
            1315,
            1315,
            1375,
            1376,
            1315,
            1376,
            1316,
            1316,
            1376,
            1377,
            1316,
            1377,
            1317,
            1317,
            1377,
            1378,
            1317,
            1378,
            1318,
            1318,
            1378,
            1379,
            1318,
            1379,
            1319,
            1319,
            1379,
            1380,
            1319,
            1380,
            1320,
            1320,
            1380,
            1381,
            1320,
            1381,
            1321,
            1321,
            1381,
            1382,
            1321,
            1382,
            1322,
            1322,
            1382,
            1383,
            1322,
            1383,
            1323,
            1323,
            1383,
            1384,
            1323,
            1384,
            1324,
            1324,
            1384,
            1385,
            1324,
            1385,
            1325,
            1325,
            1385,
            1386,
            1325,
            1386,
            1326,
            1326,
            1386,
            1387,
            1326,
            1387,
            1327,
            1327,
            1387,
            1388,
            1327,
            1388,
            1328,
            1328,
            1388,
            1389,
            1328,
            1389,
            1329,
            1329,
            1389,
            1390,
            1329,
            1390,
            1330,
            1330,
            1390,
            1391,
            1330,
            1391,
            1331,
            1331,
            1391,
            1392,
            1331,
            1392,
            1332,
            1332,
            1392,
            1393,
            1332,
            1393,
            1333,
            1333,
            1393,
            1394,
            1333,
            1394,
            1334,
            1334,
            1394,
            1395,
            1334,
            1395,
            1335,
            1335,
            1395,
            1396,
            1335,
            1396,
            1336,
            1336,
            1396,
            1397,
            1336,
            1397,
            1337,
            1337,
            1397,
            1398,
            1337,
            1398,
            1338,
            1338,
            1398,
            1399,
            1338,
            1399,
            1339,
            1339,
            1399,
            1400,
            1339,
            1400,
            1340,
            1340,
            1400,
            1401,
            1340,
            1401,
            1341,
            1341,
            1401,
            1402,
            1342,
            1403,
            1343,
            1343,
            1403,
            1404,
            1343,
            1404,
            1344,
            1344,
            1404,
            1405,
            1344,
            1405,
            1345,
            1345,
            1405,
            1406,
            1345,
            1406,
            1346,
            1346,
            1406,
            1407,
            1346,
            1407,
            1347,
            1347,
            1407,
            1408,
            1347,
            1408,
            1348,
            1348,
            1408,
            1409,
            1348,
            1409,
            1349,
            1349,
            1409,
            1410,
            1349,
            1410,
            1350,
            1350,
            1410,
            1411,
            1350,
            1411,
            1351,
            1351,
            1411,
            1412,
            1351,
            1412,
            1352,
            1352,
            1412,
            1413,
            1352,
            1413,
            1353,
            1353,
            1413,
            1414,
            1353,
            1414,
            1354,
            1354,
            1414,
            1415,
            1354,
            1415,
            1355,
            1355,
            1415,
            1416,
            1355,
            1416,
            1356,
            1356,
            1416,
            1417,
            1356,
            1417,
            1357,
            1357,
            1417,
            1418,
            1357,
            1418,
            1358,
            1358,
            1418,
            1419,
            1358,
            1419,
            1359,
            1359,
            1419,
            1420,
            1359,
            1420,
            1360,
            1360,
            1420,
            1421,
            1360,
            1421,
            1361,
            1361,
            1421,
            1422,
            1361,
            1422,
            1362,
            1362,
            1422,
            1423,
            1362,
            1423,
            1363,
            1363,
            1423,
            1424,
            1363,
            1424,
            1364,
            1364,
            1424,
            1425,
            1364,
            1425,
            1365,
            1365,
            1425,
            1426,
            1365,
            1426,
            1366,
            1366,
            1426,
            1427,
            1366,
            1427,
            1367,
            1367,
            1427,
            1428,
            1367,
            1428,
            1368,
            1368,
            1428,
            1429,
            1368,
            1429,
            1369,
            1369,
            1429,
            1430,
            1369,
            1430,
            1370,
            1370,
            1430,
            1431,
            1370,
            1431,
            1371,
            1371,
            1431,
            1432,
            1371,
            1432,
            1372,
            1372,
            1432,
            1433,
            1372,
            1433,
            1373,
            1373,
            1433,
            1434,
            1373,
            1434,
            1374,
            1374,
            1434,
            1435,
            1374,
            1435,
            1375,
            1375,
            1435,
            1436,
            1375,
            1436,
            1376,
            1376,
            1436,
            1437,
            1376,
            1437,
            1377,
            1377,
            1437,
            1438,
            1377,
            1438,
            1378,
            1378,
            1438,
            1439,
            1378,
            1439,
            1379,
            1379,
            1439,
            1440,
            1379,
            1440,
            1380,
            1380,
            1440,
            1441,
            1380,
            1441,
            1381,
            1381,
            1441,
            1442,
            1381,
            1442,
            1382,
            1382,
            1442,
            1443,
            1382,
            1443,
            1383,
            1383,
            1443,
            1444,
            1383,
            1444,
            1384,
            1384,
            1444,
            1445,
            1384,
            1445,
            1385,
            1385,
            1445,
            1446,
            1385,
            1446,
            1386,
            1386,
            1446,
            1447,
            1386,
            1447,
            1387,
            1387,
            1447,
            1448,
            1387,
            1448,
            1388,
            1388,
            1448,
            1449,
            1388,
            1449,
            1389,
            1389,
            1449,
            1450,
            1389,
            1450,
            1390,
            1390,
            1450,
            1451,
            1390,
            1451,
            1391,
            1391,
            1451,
            1452,
            1391,
            1452,
            1392,
            1392,
            1452,
            1453,
            1392,
            1453,
            1393,
            1393,
            1453,
            1454,
            1393,
            1454,
            1394,
            1394,
            1454,
            1455,
            1394,
            1455,
            1395,
            1395,
            1455,
            1456,
            1395,
            1456,
            1396,
            1396,
            1456,
            1457,
            1396,
            1457,
            1397,
            1397,
            1457,
            1458,
            1397,
            1458,
            1398,
            1398,
            1458,
            1459,
            1398,
            1459,
            1399,
            1399,
            1459,
            1460,
            1399,
            1460,
            1400,
            1400,
            1460,
            1461,
            1400,
            1461,
            1401,
            1401,
            1461,
            1462,
            1401,
            1462,
            1402,
            1402,
            1462,
            1463,
            1403,
            1464,
            1404,
            1404,
            1464,
            1465,
            1404,
            1465,
            1405,
            1405,
            1465,
            1466,
            1405,
            1466,
            1406,
            1406,
            1466,
            1467,
            1406,
            1467,
            1407,
            1407,
            1467,
            1468,
            1407,
            1468,
            1408,
            1408,
            1468,
            1469,
            1408,
            1469,
            1409,
            1409,
            1469,
            1470,
            1409,
            1470,
            1410,
            1410,
            1470,
            1471,
            1410,
            1471,
            1411,
            1411,
            1471,
            1472,
            1411,
            1472,
            1412,
            1412,
            1472,
            1473,
            1412,
            1473,
            1413,
            1413,
            1473,
            1474,
            1413,
            1474,
            1414,
            1414,
            1474,
            1475,
            1414,
            1475,
            1415,
            1415,
            1475,
            1476,
            1415,
            1476,
            1416,
            1416,
            1476,
            1477,
            1416,
            1477,
            1417,
            1417,
            1477,
            1478,
            1417,
            1478,
            1418,
            1418,
            1478,
            1479,
            1418,
            1479,
            1419,
            1419,
            1479,
            1480,
            1419,
            1480,
            1420,
            1420,
            1480,
            1481,
            1420,
            1481,
            1421,
            1421,
            1481,
            1482,
            1421,
            1482,
            1422,
            1422,
            1482,
            1483,
            1422,
            1483,
            1423,
            1423,
            1483,
            1484,
            1423,
            1484,
            1424,
            1424,
            1484,
            1485,
            1424,
            1485,
            1425,
            1425,
            1485,
            1486,
            1425,
            1486,
            1426,
            1426,
            1486,
            1487,
            1426,
            1487,
            1427,
            1427,
            1487,
            1488,
            1427,
            1488,
            1428,
            1428,
            1488,
            1489,
            1428,
            1489,
            1429,
            1429,
            1489,
            1490,
            1429,
            1490,
            1430,
            1430,
            1490,
            1491,
            1430,
            1491,
            1431,
            1431,
            1491,
            1492,
            1431,
            1492,
            1432,
            1432,
            1492,
            1493,
            1432,
            1493,
            1433,
            1433,
            1493,
            1494,
            1433,
            1494,
            1434,
            1434,
            1494,
            1495,
            1434,
            1495,
            1435,
            1435,
            1495,
            1496,
            1435,
            1496,
            1436,
            1436,
            1496,
            1497,
            1436,
            1497,
            1437,
            1437,
            1497,
            1498,
            1437,
            1498,
            1438,
            1438,
            1498,
            1499,
            1438,
            1499,
            1439,
            1439,
            1499,
            1500,
            1439,
            1500,
            1440,
            1440,
            1500,
            1501,
            1440,
            1501,
            1441,
            1441,
            1501,
            1502,
            1441,
            1502,
            1442,
            1442,
            1502,
            1503,
            1442,
            1503,
            1443,
            1443,
            1503,
            1504,
            1443,
            1504,
            1444,
            1444,
            1504,
            1505,
            1444,
            1505,
            1445,
            1445,
            1505,
            1506,
            1445,
            1506,
            1446,
            1446,
            1506,
            1507,
            1446,
            1507,
            1447,
            1447,
            1507,
            1508,
            1447,
            1508,
            1448,
            1448,
            1508,
            1509,
            1448,
            1509,
            1449,
            1449,
            1509,
            1510,
            1449,
            1510,
            1450,
            1450,
            1510,
            1511,
            1450,
            1511,
            1451,
            1451,
            1511,
            1512,
            1451,
            1512,
            1452,
            1452,
            1512,
            1513,
            1452,
            1513,
            1453,
            1453,
            1513,
            1514,
            1453,
            1514,
            1454,
            1454,
            1514,
            1515,
            1454,
            1515,
            1455,
            1455,
            1515,
            1516,
            1455,
            1516,
            1456,
            1456,
            1516,
            1517,
            1456,
            1517,
            1457,
            1457,
            1517,
            1518,
            1457,
            1518,
            1458,
            1458,
            1518,
            1519,
            1458,
            1519,
            1459,
            1459,
            1519,
            1520,
            1459,
            1520,
            1460,
            1460,
            1520,
            1521,
            1460,
            1521,
            1461,
            1461,
            1521,
            1522,
            1461,
            1522,
            1462,
            1462,
            1522,
            1523,
            1462,
            1523,
            1463,
            1463,
            1523,
            1524,
            1464,
            1525,
            1465,
            1465,
            1525,
            1526,
            1465,
            1526,
            1466,
            1466,
            1526,
            1527,
            1466,
            1527,
            1467,
            1467,
            1527,
            1528,
            1467,
            1528,
            1468,
            1468,
            1528,
            1529,
            1468,
            1529,
            1469,
            1469,
            1529,
            1530,
            1469,
            1530,
            1470,
            1470,
            1530,
            1531,
            1470,
            1531,
            1471,
            1471,
            1531,
            1532,
            1471,
            1532,
            1472,
            1472,
            1532,
            1533,
            1472,
            1533,
            1473,
            1473,
            1533,
            1534,
            1473,
            1534,
            1474,
            1474,
            1534,
            1535,
            1474,
            1535,
            1475,
            1475,
            1535,
            1536,
            1475,
            1536,
            1476,
            1476,
            1536,
            1537,
            1476,
            1537,
            1477,
            1477,
            1537,
            1538,
            1477,
            1538,
            1478,
            1478,
            1538,
            1539,
            1478,
            1539,
            1479,
            1479,
            1539,
            1540,
            1479,
            1540,
            1480,
            1480,
            1540,
            1541,
            1480,
            1541,
            1481,
            1481,
            1541,
            1542,
            1481,
            1542,
            1482,
            1482,
            1542,
            1543,
            1482,
            1543,
            1483,
            1483,
            1543,
            1544,
            1483,
            1544,
            1484,
            1484,
            1544,
            1545,
            1484,
            1545,
            1485,
            1485,
            1545,
            1546,
            1485,
            1546,
            1486,
            1486,
            1546,
            1547,
            1486,
            1547,
            1487,
            1487,
            1547,
            1548,
            1487,
            1548,
            1488,
            1488,
            1548,
            1549,
            1488,
            1549,
            1489,
            1489,
            1549,
            1550,
            1489,
            1550,
            1490,
            1490,
            1550,
            1551,
            1490,
            1551,
            1491,
            1491,
            1551,
            1552,
            1491,
            1552,
            1492,
            1492,
            1552,
            1553,
            1492,
            1553,
            1493,
            1493,
            1553,
            1554,
            1493,
            1554,
            1494,
            1494,
            1554,
            1555,
            1494,
            1555,
            1495,
            1495,
            1555,
            1556,
            1495,
            1556,
            1496,
            1496,
            1556,
            1557,
            1496,
            1557,
            1497,
            1497,
            1557,
            1558,
            1497,
            1558,
            1498,
            1498,
            1558,
            1559,
            1498,
            1559,
            1499,
            1499,
            1559,
            1560,
            1499,
            1560,
            1500,
            1500,
            1560,
            1561,
            1500,
            1561,
            1501,
            1501,
            1561,
            1562,
            1501,
            1562,
            1502,
            1502,
            1562,
            1563,
            1502,
            1563,
            1503,
            1503,
            1563,
            1564,
            1503,
            1564,
            1504,
            1504,
            1564,
            1565,
            1504,
            1565,
            1505,
            1505,
            1565,
            1566,
            1505,
            1566,
            1506,
            1506,
            1566,
            1567,
            1506,
            1567,
            1507,
            1507,
            1567,
            1568,
            1507,
            1568,
            1508,
            1508,
            1568,
            1569,
            1508,
            1569,
            1509,
            1509,
            1569,
            1570,
            1509,
            1570,
            1510,
            1510,
            1570,
            1571,
            1510,
            1571,
            1511,
            1511,
            1571,
            1572,
            1511,
            1572,
            1512,
            1512,
            1572,
            1573,
            1512,
            1573,
            1513,
            1513,
            1573,
            1574,
            1513,
            1574,
            1514,
            1514,
            1574,
            1575,
            1514,
            1575,
            1515,
            1515,
            1575,
            1576,
            1515,
            1576,
            1516,
            1516,
            1576,
            1577,
            1516,
            1577,
            1517,
            1517,
            1577,
            1578,
            1517,
            1578,
            1518,
            1518,
            1578,
            1579,
            1518,
            1579,
            1519,
            1519,
            1579,
            1580,
            1519,
            1580,
            1520,
            1520,
            1580,
            1581,
            1520,
            1581,
            1521,
            1521,
            1581,
            1582,
            1521,
            1582,
            1522,
            1522,
            1582,
            1583,
            1522,
            1583,
            1523,
            1523,
            1583,
            1584,
            1523,
            1584,
            1524,
            1524,
            1584,
            1585,
            1525,
            1586,
            1526,
            1526,
            1586,
            1587,
            1526,
            1587,
            1527,
            1527,
            1587,
            1588,
            1527,
            1588,
            1528,
            1528,
            1588,
            1589,
            1528,
            1589,
            1529,
            1529,
            1589,
            1590,
            1529,
            1590,
            1530,
            1530,
            1590,
            1591,
            1530,
            1591,
            1531,
            1531,
            1591,
            1592,
            1531,
            1592,
            1532,
            1532,
            1592,
            1593,
            1532,
            1593,
            1533,
            1533,
            1593,
            1594,
            1533,
            1594,
            1534,
            1534,
            1594,
            1595,
            1534,
            1595,
            1535,
            1535,
            1595,
            1596,
            1535,
            1596,
            1536,
            1536,
            1596,
            1597,
            1536,
            1597,
            1537,
            1537,
            1597,
            1598,
            1537,
            1598,
            1538,
            1538,
            1598,
            1599,
            1538,
            1599,
            1539,
            1539,
            1599,
            1600,
            1539,
            1600,
            1540,
            1540,
            1600,
            1601,
            1540,
            1601,
            1541,
            1541,
            1601,
            1602,
            1541,
            1602,
            1542,
            1542,
            1602,
            1603,
            1542,
            1603,
            1543,
            1543,
            1603,
            1604,
            1543,
            1604,
            1544,
            1544,
            1604,
            1605,
            1544,
            1605,
            1545,
            1545,
            1605,
            1606,
            1545,
            1606,
            1546,
            1546,
            1606,
            1607,
            1546,
            1607,
            1547,
            1547,
            1607,
            1608,
            1547,
            1608,
            1548,
            1548,
            1608,
            1609,
            1548,
            1609,
            1549,
            1549,
            1609,
            1610,
            1549,
            1610,
            1550,
            1550,
            1610,
            1611,
            1550,
            1611,
            1551,
            1551,
            1611,
            1612,
            1551,
            1612,
            1552,
            1552,
            1612,
            1613,
            1552,
            1613,
            1553,
            1553,
            1613,
            1614,
            1553,
            1614,
            1554,
            1554,
            1614,
            1615,
            1554,
            1615,
            1555,
            1555,
            1615,
            1616,
            1555,
            1616,
            1556,
            1556,
            1616,
            1617,
            1556,
            1617,
            1557,
            1557,
            1617,
            1618,
            1557,
            1618,
            1558,
            1558,
            1618,
            1619,
            1558,
            1619,
            1559,
            1559,
            1619,
            1620,
            1559,
            1620,
            1560,
            1560,
            1620,
            1621,
            1560,
            1621,
            1561,
            1561,
            1621,
            1622,
            1561,
            1622,
            1562,
            1562,
            1622,
            1623,
            1562,
            1623,
            1563,
            1563,
            1623,
            1624,
            1563,
            1624,
            1564,
            1564,
            1624,
            1625,
            1564,
            1625,
            1565,
            1565,
            1625,
            1626,
            1565,
            1626,
            1566,
            1566,
            1626,
            1627,
            1566,
            1627,
            1567,
            1567,
            1627,
            1628,
            1567,
            1628,
            1568,
            1568,
            1628,
            1629,
            1568,
            1629,
            1569,
            1569,
            1629,
            1630,
            1569,
            1630,
            1570,
            1570,
            1630,
            1631,
            1570,
            1631,
            1571,
            1571,
            1631,
            1632,
            1571,
            1632,
            1572,
            1572,
            1632,
            1633,
            1572,
            1633,
            1573,
            1573,
            1633,
            1634,
            1573,
            1634,
            1574,
            1574,
            1634,
            1635,
            1574,
            1635,
            1575,
            1575,
            1635,
            1636,
            1575,
            1636,
            1576,
            1576,
            1636,
            1637,
            1576,
            1637,
            1577,
            1577,
            1637,
            1638,
            1577,
            1638,
            1578,
            1578,
            1638,
            1639,
            1578,
            1639,
            1579,
            1579,
            1639,
            1640,
            1579,
            1640,
            1580,
            1580,
            1640,
            1641,
            1580,
            1641,
            1581,
            1581,
            1641,
            1642,
            1581,
            1642,
            1582,
            1582,
            1642,
            1643,
            1582,
            1643,
            1583,
            1583,
            1643,
            1644,
            1583,
            1644,
            1584,
            1584,
            1644,
            1645,
            1584,
            1645,
            1585,
            1585,
            1645,
            1646,
            1586,
            1647,
            1587,
            1587,
            1647,
            1648,
            1587,
            1648,
            1588,
            1588,
            1648,
            1649,
            1588,
            1649,
            1589,
            1589,
            1649,
            1650,
            1589,
            1650,
            1590,
            1590,
            1650,
            1651,
            1590,
            1651,
            1591,
            1591,
            1651,
            1652,
            1591,
            1652,
            1592,
            1592,
            1652,
            1653,
            1592,
            1653,
            1593,
            1593,
            1653,
            1654,
            1593,
            1654,
            1594,
            1594,
            1654,
            1655,
            1594,
            1655,
            1595,
            1595,
            1655,
            1656,
            1595,
            1656,
            1596,
            1596,
            1656,
            1657,
            1596,
            1657,
            1597,
            1597,
            1657,
            1658,
            1597,
            1658,
            1598,
            1598,
            1658,
            1659,
            1598,
            1659,
            1599,
            1599,
            1659,
            1660,
            1599,
            1660,
            1600,
            1600,
            1660,
            1661,
            1600,
            1661,
            1601,
            1601,
            1661,
            1662,
            1601,
            1662,
            1602,
            1602,
            1662,
            1663,
            1602,
            1663,
            1603,
            1603,
            1663,
            1664,
            1603,
            1664,
            1604,
            1604,
            1664,
            1665,
            1604,
            1665,
            1605,
            1605,
            1665,
            1666,
            1605,
            1666,
            1606,
            1606,
            1666,
            1667,
            1606,
            1667,
            1607,
            1607,
            1667,
            1668,
            1607,
            1668,
            1608,
            1608,
            1668,
            1669,
            1608,
            1669,
            1609,
            1609,
            1669,
            1670,
            1609,
            1670,
            1610,
            1610,
            1670,
            1671,
            1610,
            1671,
            1611,
            1611,
            1671,
            1672,
            1611,
            1672,
            1612,
            1612,
            1672,
            1673,
            1612,
            1673,
            1613,
            1613,
            1673,
            1674,
            1613,
            1674,
            1614,
            1614,
            1674,
            1675,
            1614,
            1675,
            1615,
            1615,
            1675,
            1676,
            1615,
            1676,
            1616,
            1616,
            1676,
            1677,
            1616,
            1677,
            1617,
            1617,
            1677,
            1678,
            1617,
            1678,
            1618,
            1618,
            1678,
            1679,
            1618,
            1679,
            1619,
            1619,
            1679,
            1680,
            1619,
            1680,
            1620,
            1620,
            1680,
            1681,
            1620,
            1681,
            1621,
            1621,
            1681,
            1682,
            1621,
            1682,
            1622,
            1622,
            1682,
            1683,
            1622,
            1683,
            1623,
            1623,
            1683,
            1684,
            1623,
            1684,
            1624,
            1624,
            1684,
            1685,
            1624,
            1685,
            1625,
            1625,
            1685,
            1686,
            1625,
            1686,
            1626,
            1626,
            1686,
            1687,
            1626,
            1687,
            1627,
            1627,
            1687,
            1688,
            1627,
            1688,
            1628,
            1628,
            1688,
            1689,
            1628,
            1689,
            1629,
            1629,
            1689,
            1690,
            1629,
            1690,
            1630,
            1630,
            1690,
            1691,
            1630,
            1691,
            1631,
            1631,
            1691,
            1692,
            1631,
            1692,
            1632,
            1632,
            1692,
            1693,
            1632,
            1693,
            1633,
            1633,
            1693,
            1694,
            1633,
            1694,
            1634,
            1634,
            1694,
            1695,
            1634,
            1695,
            1635,
            1635,
            1695,
            1696,
            1635,
            1696,
            1636,
            1636,
            1696,
            1697,
            1636,
            1697,
            1637,
            1637,
            1697,
            1698,
            1637,
            1698,
            1638,
            1638,
            1698,
            1699,
            1638,
            1699,
            1639,
            1639,
            1699,
            1700,
            1639,
            1700,
            1640,
            1640,
            1700,
            1701,
            1640,
            1701,
            1641,
            1641,
            1701,
            1702,
            1641,
            1702,
            1642,
            1642,
            1702,
            1703,
            1642,
            1703,
            1643,
            1643,
            1703,
            1704,
            1643,
            1704,
            1644,
            1644,
            1704,
            1705,
            1644,
            1705,
            1645,
            1645,
            1705,
            1706,
            1645,
            1706,
            1646,
            1646,
            1706,
            1707,
            1647,
            1708,
            1648,
            1648,
            1708,
            1709,
            1648,
            1709,
            1649,
            1649,
            1709,
            1710,
            1649,
            1710,
            1650,
            1650,
            1710,
            1711,
            1650,
            1711,
            1651,
            1651,
            1711,
            1712,
            1651,
            1712,
            1652,
            1652,
            1712,
            1713,
            1652,
            1713,
            1653,
            1653,
            1713,
            1714,
            1653,
            1714,
            1654,
            1654,
            1714,
            1715,
            1654,
            1715,
            1655,
            1655,
            1715,
            1716,
            1655,
            1716,
            1656,
            1656,
            1716,
            1717,
            1656,
            1717,
            1657,
            1657,
            1717,
            1718,
            1657,
            1718,
            1658,
            1658,
            1718,
            1719,
            1658,
            1719,
            1659,
            1659,
            1719,
            1720,
            1659,
            1720,
            1660,
            1660,
            1720,
            1721,
            1660,
            1721,
            1661,
            1661,
            1721,
            1722,
            1661,
            1722,
            1662,
            1662,
            1722,
            1723,
            1662,
            1723,
            1663,
            1663,
            1723,
            1724,
            1663,
            1724,
            1664,
            1664,
            1724,
            1725,
            1664,
            1725,
            1665,
            1665,
            1725,
            1726,
            1665,
            1726,
            1666,
            1666,
            1726,
            1727,
            1666,
            1727,
            1667,
            1667,
            1727,
            1728,
            1667,
            1728,
            1668,
            1668,
            1728,
            1729,
            1668,
            1729,
            1669,
            1669,
            1729,
            1730,
            1669,
            1730,
            1670,
            1670,
            1730,
            1731,
            1670,
            1731,
            1671,
            1671,
            1731,
            1732,
            1671,
            1732,
            1672,
            1672,
            1732,
            1733,
            1672,
            1733,
            1673,
            1673,
            1733,
            1734,
            1673,
            1734,
            1674,
            1674,
            1734,
            1735,
            1674,
            1735,
            1675,
            1675,
            1735,
            1736,
            1675,
            1736,
            1676,
            1676,
            1736,
            1737,
            1676,
            1737,
            1677,
            1677,
            1737,
            1738,
            1677,
            1738,
            1678,
            1678,
            1738,
            1739,
            1678,
            1739,
            1679,
            1679,
            1739,
            1740,
            1679,
            1740,
            1680,
            1680,
            1740,
            1741,
            1680,
            1741,
            1681,
            1681,
            1741,
            1742,
            1681,
            1742,
            1682,
            1682,
            1742,
            1743,
            1682,
            1743,
            1683,
            1683,
            1743,
            1744,
            1683,
            1744,
            1684,
            1684,
            1744,
            1745,
            1684,
            1745,
            1685,
            1685,
            1745,
            1746,
            1685,
            1746,
            1686,
            1686,
            1746,
            1747,
            1686,
            1747,
            1687,
            1687,
            1747,
            1748,
            1687,
            1748,
            1688,
            1688,
            1748,
            1749,
            1688,
            1749,
            1689,
            1689,
            1749,
            1750,
            1689,
            1750,
            1690,
            1690,
            1750,
            1751,
            1690,
            1751,
            1691,
            1691,
            1751,
            1752,
            1691,
            1752,
            1692,
            1692,
            1752,
            1753,
            1692,
            1753,
            1693,
            1693,
            1753,
            1754,
            1693,
            1754,
            1694,
            1694,
            1754,
            1755,
            1694,
            1755,
            1695,
            1695,
            1755,
            1756,
            1695,
            1756,
            1696,
            1696,
            1756,
            1757,
            1696,
            1757,
            1697,
            1697,
            1757,
            1758,
            1697,
            1758,
            1698,
            1698,
            1758,
            1759,
            1698,
            1759,
            1699,
            1699,
            1759,
            1760,
            1699,
            1760,
            1700,
            1700,
            1760,
            1761,
            1700,
            1761,
            1701,
            1701,
            1761,
            1762,
            1701,
            1762,
            1702,
            1702,
            1762,
            1763,
            1702,
            1763,
            1703,
            1703,
            1763,
            1764,
            1703,
            1764,
            1704,
            1704,
            1764,
            1765,
            1704,
            1765,
            1705,
            1705,
            1765,
            1766,
            1705,
            1766,
            1706,
            1706,
            1766,
            1767,
            1706,
            1767,
            1707,
            1707,
            1767,
            1768,
            1708,
            1769,
            1709,
            1709,
            1769,
            1770,
            1709,
            1770,
            1710,
            1710,
            1770,
            1771,
            1710,
            1771,
            1711,
            1711,
            1771,
            1772,
            1711,
            1772,
            1712,
            1712,
            1772,
            1773,
            1712,
            1773,
            1713,
            1713,
            1773,
            1774,
            1713,
            1774,
            1714,
            1714,
            1774,
            1775,
            1714,
            1775,
            1715,
            1715,
            1775,
            1776,
            1715,
            1776,
            1716,
            1716,
            1776,
            1777,
            1716,
            1777,
            1717,
            1717,
            1777,
            1778,
            1717,
            1778,
            1718,
            1718,
            1778,
            1779,
            1718,
            1779,
            1719,
            1719,
            1779,
            1780,
            1719,
            1780,
            1720,
            1720,
            1780,
            1781,
            1720,
            1781,
            1721,
            1721,
            1781,
            1782,
            1721,
            1782,
            1722,
            1722,
            1782,
            1783,
            1722,
            1783,
            1723,
            1723,
            1783,
            1784,
            1723,
            1784,
            1724,
            1724,
            1784,
            1785,
            1724,
            1785,
            1725,
            1725,
            1785,
            1786,
            1725,
            1786,
            1726,
            1726,
            1786,
            1787,
            1726,
            1787,
            1727,
            1727,
            1787,
            1788,
            1727,
            1788,
            1728,
            1728,
            1788,
            1789,
            1728,
            1789,
            1729,
            1729,
            1789,
            1790,
            1729,
            1790,
            1730,
            1730,
            1790,
            1791,
            1730,
            1791,
            1731,
            1731,
            1791,
            1792,
            1731,
            1792,
            1732,
            1732,
            1792,
            1793,
            1732,
            1793,
            1733,
            1733,
            1793,
            1794,
            1733,
            1794,
            1734,
            1734,
            1794,
            1795,
            1734,
            1795,
            1735,
            1735,
            1795,
            1796,
            1735,
            1796,
            1736,
            1736,
            1796,
            1797,
            1736,
            1797,
            1737,
            1737,
            1797,
            1798,
            1737,
            1798,
            1738,
            1738,
            1798,
            1799,
            1738,
            1799,
            1739,
            1739,
            1799,
            1800,
            1739,
            1800,
            1740,
            1740,
            1800,
            1801,
            1740,
            1801,
            1741,
            1741,
            1801,
            1802,
            1741,
            1802,
            1742,
            1742,
            1802,
            1803,
            1742,
            1803,
            1743,
            1743,
            1803,
            1804,
            1743,
            1804,
            1744,
            1744,
            1804,
            1805,
            1744,
            1805,
            1745,
            1745,
            1805,
            1806,
            1745,
            1806,
            1746,
            1746,
            1806,
            1807,
            1746,
            1807,
            1747,
            1747,
            1807,
            1808,
            1747,
            1808,
            1748,
            1748,
            1808,
            1809,
            1748,
            1809,
            1749,
            1749,
            1809,
            1810,
            1749,
            1810,
            1750,
            1750,
            1810,
            1811,
            1750,
            1811,
            1751,
            1751,
            1811,
            1812,
            1751,
            1812,
            1752,
            1752,
            1812,
            1813,
            1752,
            1813,
            1753,
            1753,
            1813,
            1814,
            1753,
            1814,
            1754,
            1754,
            1814,
            1815,
            1754,
            1815,
            1755,
            1755,
            1815,
            1816,
            1755,
            1816,
            1756,
            1756,
            1816,
            1817,
            1756,
            1817,
            1757,
            1757,
            1817,
            1818,
            1757,
            1818,
            1758,
            1758,
            1818,
            1819,
            1758,
            1819,
            1759,
            1759,
            1819,
            1820,
            1759,
            1820,
            1760,
            1760,
            1820,
            1821,
            1760,
            1821,
            1761,
            1761,
            1821,
            1822,
            1761,
            1822,
            1762,
            1762,
            1822,
            1823,
            1762,
            1823,
            1763,
            1763,
            1823,
            1824,
            1763,
            1824,
            1764,
            1764,
            1824,
            1825,
            1764,
            1825,
            1765,
            1765,
            1825,
            1826,
            1765,
            1826,
            1766,
            1766,
            1826,
            1827,
            1766,
            1827,
            1767,
            1767,
            1827,
            1828,
            1767,
            1828,
            1768,
            1768,
            1828,
            1829,
            1769,
            1830,
            1770,
            1770,
            1830,
            1831,
            1770,
            1831,
            1771,
            1771,
            1831,
            1832,
            1771,
            1832,
            1772,
            1772,
            1832,
            1833,
            1772,
            1833,
            1773,
            1773,
            1833,
            1834,
            1773,
            1834,
            1774,
            1774,
            1834,
            1835,
            1774,
            1835,
            1775,
            1775,
            1835,
            1836,
            1775,
            1836,
            1776,
            1776,
            1836,
            1837,
            1776,
            1837,
            1777,
            1777,
            1837,
            1838,
            1777,
            1838,
            1778,
            1778,
            1838,
            1839,
            1778,
            1839,
            1779,
            1779,
            1839,
            1840,
            1779,
            1840,
            1780,
            1780,
            1840,
            1841,
            1780,
            1841,
            1781,
            1781,
            1841,
            1842,
            1781,
            1842,
            1782,
            1782,
            1842,
            1843,
            1782,
            1843,
            1783,
            1783,
            1843,
            1844,
            1783,
            1844,
            1784,
            1784,
            1844,
            1845,
            1784,
            1845,
            1785,
            1785,
            1845,
            1846,
            1785,
            1846,
            1786,
            1786,
            1846,
            1847,
            1786,
            1847,
            1787,
            1787,
            1847,
            1848,
            1787,
            1848,
            1788,
            1788,
            1848,
            1849,
            1788,
            1849,
            1789,
            1789,
            1849,
            1850,
            1789,
            1850,
            1790,
            1790,
            1850,
            1851,
            1790,
            1851,
            1791,
            1791,
            1851,
            1852,
            1791,
            1852,
            1792,
            1792,
            1852,
            1853,
            1792,
            1853,
            1793,
            1793,
            1853,
            1854,
            1793,
            1854,
            1794,
            1794,
            1854,
            1855,
            1794,
            1855,
            1795,
            1795,
            1855,
            1856,
            1795,
            1856,
            1796,
            1796,
            1856,
            1857,
            1796,
            1857,
            1797,
            1797,
            1857,
            1858,
            1797,
            1858,
            1798,
            1798,
            1858,
            1859,
            1798,
            1859,
            1799,
            1799,
            1859,
            1860,
            1799,
            1860,
            1800,
            1800,
            1860,
            1861,
            1800,
            1861,
            1801,
            1801,
            1861,
            1862,
            1801,
            1862,
            1802,
            1802,
            1862,
            1863,
            1802,
            1863,
            1803,
            1803,
            1863,
            1864,
            1803,
            1864,
            1804,
            1804,
            1864,
            1865,
            1804,
            1865,
            1805,
            1805,
            1865,
            1866,
            1805,
            1866,
            1806,
            1806,
            1866,
            1867,
            1806,
            1867,
            1807,
            1807,
            1867,
            1868,
            1807,
            1868,
            1808,
            1808,
            1868,
            1869,
            1808,
            1869,
            1809,
            1809,
            1869,
            1870,
            1809,
            1870,
            1810,
            1810,
            1870,
            1871,
            1810,
            1871,
            1811,
            1811,
            1871,
            1872,
            1811,
            1872,
            1812,
            1812,
            1872,
            1873,
            1812,
            1873,
            1813,
            1813,
            1873,
            1874,
            1813,
            1874,
            1814,
            1814,
            1874,
            1875,
            1814,
            1875,
            1815,
            1815,
            1875,
            1876,
            1815,
            1876,
            1816,
            1816,
            1876,
            1877,
            1816,
            1877,
            1817,
            1817,
            1877,
            1878,
            1817,
            1878,
            1818,
            1818,
            1878,
            1879,
            1818,
            1879,
            1819,
            1819,
            1879,
            1880,
            1819,
            1880,
            1820,
            1820,
            1880,
            1881,
            1820,
            1881,
            1821,
            1821,
            1881,
            1882,
            1821,
            1882,
            1822,
            1822,
            1882,
            1883,
            1822,
            1883,
            1823,
            1823,
            1883,
            1884,
            1823,
            1884,
            1824,
            1824,
            1884,
            1885,
            1824,
            1885,
            1825,
            1825,
            1885,
            1886,
            1825,
            1886,
            1826,
            1826,
            1886,
            1887,
            1826,
            1887,
            1827,
            1827,
            1887,
            1888,
            1827,
            1888,
            1828,
            1828,
            1888,
            1889,
            1828,
            1889,
            1829,
            1829,
            1889,
            1890
          ],
          "level": 1.940477450163484,
          "requestedFilling": 1,
          "requestedVolumeRadius": 0.4740939503782532,
          "displayedVolumeRadius": 0.4740939503782532,
          "overfillOpen": false,
          "relativeVolumeResidual": 0,
          "angularMesh": [
            30,
            60
          ]
        },
        "efficiencyCurve": [
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.1,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.04593167610111014,
            "releasedOrbitalEnergy": 7.317642123515411,
            "unusedOrbitalEnergy": 6.585877911163871,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.65966253348063,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.10546121820591392,
            "coreLobeRadiusSolar": 0.013360134134101281,
            "companionLobeRadiusSolar": 0.021841756647891605,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": true,
            "event": "supplied-surfaces-overlap",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.115,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.052787621474996285,
            "releasedOrbitalEnergy": 6.363167063926443,
            "unusedOrbitalEnergy": 5.631402851574902,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.6520653910691,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.11305836061744391,
            "coreLobeRadiusSolar": 0.015354321100184504,
            "companionLobeRadiusSolar": 0.025101944456366553,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": true,
            "event": "supplied-surfaces-overlap",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.13,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.05963479676665116,
            "releasedOrbitalEnergy": 5.628955479627239,
            "unusedOrbitalEnergy": 4.897191267275698,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.64495639486746,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.1201673568190857,
            "coreLobeRadiusSolar": 0.01734595711483458,
            "companionLobeRadiusSolar": 0.02835796185308784,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": true,
            "event": "supplied-surfaces-overlap",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.14500000000000002,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.06647321879326969,
            "releasedOrbitalEnergy": 5.046649740355455,
            "unusedOrbitalEnergy": 4.314885528003914,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.63825344453866,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.12687030714788447,
            "coreLobeRadiusSolar": 0.019335047069664425,
            "companionLobeRadiusSolar": 0.031609816835087366,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": true,
            "event": "supplied-surfaces-overlap",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.16,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.07330290432907678,
            "releasedOrbitalEnergy": 4.573526327197131,
            "unusedOrbitalEnergy": 3.84176211484559,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.6318952241858,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.133228527500746,
            "coreLobeRadiusSolar": 0.021321595843788278,
            "companionLobeRadiusSolar": 0.03485751737896363,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": true,
            "event": "supplied-surfaces-overlap",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.175,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.08012387010546461,
            "releasedOrbitalEnergy": 4.181509784865949,
            "unusedOrbitalEnergy": 3.449745572514408,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.625834502966686,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.13928924871986023,
            "coreLobeRadiusSolar": 0.023305608303861622,
            "companionLobeRadiusSolar": 0.038101071440946994,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.19,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.08693613281112919,
            "releasedOrbitalEnergy": 3.851390591323901,
            "unusedOrbitalEnergy": 3.11962637897236,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.620033980566593,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.14508977111995258,
            "coreLobeRadiusSolar": 0.025287089304120935,
            "companionLobeRadiusSolar": 0.04134048695696465,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.20500000000000002,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.09373970909220654,
            "releasedOrbitalEnergy": 3.5695815236660535,
            "unusedOrbitalEnergy": 2.837817311314512,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.61446358709462,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.15066016459192627,
            "coreLobeRadiusSolar": 0.027266043686423273,
            "companionLobeRadiusSolar": 0.04457577184270534,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.22000000000000003,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.10053461555240813,
            "releasedOrbitalEnergy": 3.3262009652342766,
            "unusedOrbitalEnergy": 2.5944367528827357,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.609098659592014,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.15602509209452958,
            "coreLobeRadiusSolar": 0.029242476280285666,
            "companionLobeRadiusSolar": 0.04780693399368382,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.235,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.10732086875315604,
            "releasedOrbitalEnergy": 3.113890265325707,
            "unusedOrbitalEnergy": 2.382126052974166,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.603918670505443,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.16120508118110147,
            "coreLobeRadiusSolar": 0.03121639190292446,
            "companionLobeRadiusSolar": 0.051033981285305056,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.25,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.11409848521371764,
            "releasedOrbitalEnergy": 2.927056849406164,
            "unusedOrbitalEnergy": 2.195292637054623,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.598906316676253,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.16621743501029304,
            "coreLobeRadiusSolar": 0.03318779535929446,
            "companionLobeRadiusSolar": 0.05425692157292833,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.265,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.12086748141133938,
            "releasedOrbitalEnergy": 2.76137438623223,
            "unusedOrbitalEnergy": 2.0296101738806893,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.594046851254735,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.17107690043180931,
            "coreLobeRadiusSolar": 0.03515669144212785,
            "companionLobeRadiusSolar": 0.057475762691930825,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.28,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.1276278737813805,
            "releasedOrbitalEnergy": 2.6134436155412173,
            "unusedOrbitalEnergy": 1.8816794031896764,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.589327583758493,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.17579616792805164,
            "coreLobeRadiusSolar": 0.03712308493197312,
            "companionLobeRadiusSolar": 0.06069051245777123,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.29500000000000004,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.13437967871744594,
            "releasedOrbitalEnergy": 2.4805566520391213,
            "unusedOrbitalEnergy": 1.7487924396875805,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.584737499268275,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.1803862524182696,
            "coreLobeRadiusSolar": 0.03908698059723366,
            "companionLobeRadiusSolar": 0.06390117866605294,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.31,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.14112291257151888,
            "releasedOrbitalEnergy": 2.3605297172630353,
            "unusedOrbitalEnergy": 1.6287655049114942,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.580266963791576,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.18485678789496923,
            "coreLobeRadiusSolar": 0.041048383194206374,
            "companionLobeRadiusSolar": 0.06710776909258705,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.325,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.1478575916540929,
            "releasedOrbitalEnergy": 2.251582191850895,
            "unusedOrbitalEnergy": 1.5198179794993543,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.5759074930942,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.1892162585923467,
            "coreLobeRadiusSolar": 0.043007297467120106,
            "companionLobeRadiusSolar": 0.07031029149345525,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.34,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.15458373223430327,
            "releasedOrbitalEnergy": 2.152247683386885,
            "unusedOrbitalEnergy": 1.4204834710353438,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.571651569046512,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.19347218264003144,
            "coreLobeRadiusSolar": 0.044963728148173794,
            "companionLobeRadiusSolar": 0.07350875360507221,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.355,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.16130135054005795,
            "releasedOrbitalEnergy": 2.061307640426876,
            "unusedOrbitalEnergy": 1.329543428075335,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.56749249206457,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.1976312596219733,
            "coreLobeRadiusSolar": 0.04691767995757462,
            "companionLobeRadiusSolar": 0.07670316314424794,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.37,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.1680104627581684,
            "releasedOrbitalEnergy": 1.9777411144636245,
            "unusedOrbitalEnergy": 1.2459769021120835,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.563424261335104,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.20169949035144227,
            "coreLobeRadiusSolar": 0.04886915760357602,
            "companionLobeRadiusSolar": 0.07989352780824988,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.385,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.1747110850344792,
            "releasedOrbitalEnergy": 1.9006862658481583,
            "unusedOrbitalEnergy": 1.1689220534966174,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.559441476684775,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.20568227500177144,
            "coreLobeRadiusSolar": 0.05081816578251543,
            "companionLobeRadiusSolar": 0.0830798552748647,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.4,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.18140323347399775,
            "releasedOrbitalEnergy": 1.8294105308788529,
            "unusedOrbitalEnergy": 1.0976463185273118,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.555539257495983,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.20958449419056055,
            "coreLobeRadiusSolar": 0.05276470917885196,
            "companionLobeRadiusSolar": 0.08626215320245978,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.41500000000000004,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.18808692414102354,
            "releasedOrbitalEnergy": 1.7632872586784119,
            "unusedOrbitalEnergy": 1.031523046326871,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.55171317518311,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.21341057650343317,
            "coreLobeRadiusSolar": 0.05470879246520404,
            "companionLobeRadiusSolar": 0.08944042923004487,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.43000000000000005,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.1947621730592761,
            "releasedOrbitalEnergy": 1.7017772380268397,
            "unusedOrbitalEnergy": 0.9700130256752986,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.547959196555666,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2171645551308771,
            "coreLobeRadiusSolar": 0.0566504203023866,
            "companionLobeRadiusSolar": 0.09261469097733283,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.44499999999999995,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.20142899621202362,
            "releasedOrbitalEnergy": 1.6444139603405419,
            "unusedOrbitalEnergy": 0.9126497479890008,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.544273635996394,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.22085011569015267,
            "coreLobeRadiusSolar": 0.05858959733944853,
            "companionLobeRadiusSolar": 0.09578494604480077,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.4600000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2080874095422104,
            "releasedOrbitalEnergy": 1.5907917659816109,
            "unusedOrbitalEnergy": 0.8590275536300698,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.54065311483286,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.22447063685368362,
            "coreLobeRadiusSolar": 0.060526328213709686,
            "companionLobeRadiusSolar": 0.09895120201375075,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.475,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2147374289525835,
            "releasedOrbitalEnergy": 1.54055623652956,
            "unusedOrbitalEnergy": 0.808792024178019,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.53709452662235,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.22802922506419246,
            "coreLobeRadiusSolar": 0.06246061755079779,
            "companionLobeRadiusSolar": 0.10211346644636993,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.49,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.22137907030582,
            "releasedOrbitalEnergy": 1.4933963517378388,
            "unusedOrbitalEnergy": 0.7616321393862978,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.53359500733061,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2315287443559341,
            "coreLobeRadiusSolar": 0.06439246996468541,
            "companionLobeRadiusSolar": 0.10527174688579109,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.505,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.22801234942465265,
            "releasedOrbitalEnergy": 1.4490380442604773,
            "unusedOrbitalEnergy": 0.7172738319089362,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.53015190958658,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.234971842099968,
            "coreLobeRadiusSolar": 0.0663218900577265,
            "companionLobeRadiusSolar": 0.10842605085615246,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.52,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.23463728209199575,
            "releasedOrbitalEnergy": 1.4072388699068097,
            "unusedOrbitalEnergy": 0.6754746575552686,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.526762780351973,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.23836097133457204,
            "coreLobeRadiusSolar": 0.06824888242069306,
            "companionLobeRadiusSolar": 0.11157638586265743,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.535,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.24125388405107023,
            "releasedOrbitalEnergy": 1.3677835744888616,
            "unusedOrbitalEnergy": 0.6360193621373206,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.52342534146777,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.24169841021877517,
            "coreLobeRadiusSolar": 0.0701734516328115,
            "companionLobeRadiusSolar": 0.1147227593916342,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.55,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.24786217100552835,
            "releasedOrbitalEnergy": 1.3304803860937109,
            "unusedOrbitalEnergy": 0.5987161737421698,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.52013747263696,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.24498627904958575,
            "coreLobeRadiusSolar": 0.07209560226179884,
            "companionLobeRadiusSolar": 0.11786517891059495,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.5650000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2544621586195781,
            "releasedOrbitalEnergy": 1.295157897967329,
            "unusedOrbitalEnergy": 0.5633936856157881,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.51689719648065,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2482265552058954,
            "coreLobeRadiusSolar": 0.07401533886389904,
            "companionLobeRadiusSolar": 0.12100365186829502,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.5800000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2610538625181066,
            "releasedOrbitalEnergy": 1.2616624350888639,
            "unusedOrbitalEnergy": 0.5298982227373228,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.513702665366754,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2514210863197912,
            "coreLobeRadiusSolar": 0.07593266598391873,
            "companionLobeRadiusSolar": 0.12413818569479168,
            "coreFits": false,
            "companionFits": true,
            "directOverlap": false,
            "event": "supplied-surface-outside-roche-lobe",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.595,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2676372982868039,
            "releasedOrbitalEnergy": 1.2298558190782203,
            "unusedOrbitalEnergy": 0.49809160672667924,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.510552149760773,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.25457160192577344,
            "coreLobeRadiusSolar": 0.07784758815526335,
            "companionLobeRadiusSolar": 0.12726878780150286,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.61,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.27421248147228544,
            "releasedOrbitalEnergy": 1.1996134628713788,
            "unusedOrbitalEnergy": 0.4678492505198378,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.507444027888972,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2576797237975719,
            "coreLobeRadiusSolar": 0.07976010989997273,
            "companionLobeRadiusSolar": 0.13039546558126552,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.625,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2807794275822145,
            "releasedOrbitalEnergy": 1.1708227397624658,
            "unusedOrbitalEnergy": 0.43905852741092466,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.5043767765376,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2607469751489424,
            "coreLobeRadiusSolar": 0.08167023572875665,
            "companionLobeRadiusSolar": 0.13351822640839378,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.6399999999999999,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.28733815208542424,
            "releasedOrbitalEnergy": 1.1433815817992832,
            "unusedOrbitalEnergy": 0.4116173694477421,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.501348962839078,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2637747888474684,
            "coreLobeRadiusSolar": 0.08357797014103037,
            "companionLobeRadiusSolar": 0.13663707763873692,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.655,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.2938886704120392,
            "releasedOrbitalEnergy": 1.1171972707657114,
            "unusedOrbitalEnergy": 0.3854330584141704,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.498359236918724,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2667645147678216,
            "coreLobeRadiusSolar": 0.08548331762495007,
            "companionLobeRadiusSolar": 0.13975202660973737,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.67,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3004309979535958,
            "releasedOrbitalEnergy": 1.0921853915694641,
            "unusedOrbitalEnergy": 0.3604211792179231,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.495406325294326,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2697174263922187,
            "coreLobeRadiusSolar": 0.08738628265744773,
            "companionLobeRadiusSolar": 0.14286308064048772,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.685,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3069651500631636,
            "releasedOrbitalEnergy": 1.0682689231409357,
            "unusedOrbitalEnergy": 0.3365047107893947,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.492489024936322,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2726347267502221,
            "coreLobeRadiusSolar": 0.08928686970426654,
            "companionLobeRadiusSolar": 0.1459702470317886,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.7,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3134911420554649,
            "releasedOrbitalEnergy": 1.0453774462164873,
            "unusedOrbitalEnergy": 0.3136132338649462,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.48960619790956,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2755175537769867,
            "coreLobeRadiusSolar": 0.09118508321999558,
            "companionLobeRadiusSolar": 0.14907353306620547,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.715,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.32000898920699483,
            "releasedOrbitalEnergy": 1.0234464508413164,
            "unusedOrbitalEnergy": 0.2916822384897752,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.486756766528448,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.278366985158099,
            "coreLobeRadiusSolar": 0.09308092764810486,
            "companionLobeRadiusSolar": 0.15217294600812573,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.7300000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.32651870675614014,
            "releasedOrbitalEnergy": 1.0024167292486863,
            "unusedOrbitalEnergy": 0.2706525168971452,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.483939708966634,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2811840427199099,
            "coreLobeRadiusSolar": 0.09497440742097978,
            "companionLobeRadiusSolar": 0.1552684931038152,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.745,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.33302030990329784,
            "releasedOrbitalEnergy": 0.9822338420826052,
            "unusedOrbitalEnergy": 0.25046962973106435,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.481154055270107,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2839696964164386,
            "coreLobeRadiusSolar": 0.09686552695995568,
            "companionLobeRadiusSolar": 0.15836018158147458,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.76,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.33951381381099405,
            "releasedOrbitalEnergy": 0.9628476478309751,
            "unusedOrbitalEnergy": 0.23108343547943402,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.47839888372927,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2867248679572753,
            "coreLobeRadiusSolar": 0.09875429067535242,
            "companionLobeRadiusSolar": 0.1614480186512959,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.775,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.34599923360400164,
            "releasedOrbitalEnergy": 0.9442118869052143,
            "unusedOrbitalEnergy": 0.2124476745536732,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.475673317571307,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.28945043411523746,
            "coreLobeRadiusSolar": 0.10064070296650855,
            "companionLobeRadiusSolar": 0.16453201150551852,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.7899999999999999,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.35247658436945745,
            "releasedOrbitalEnergy": 0.9262838131032165,
            "unusedOrbitalEnergy": 0.19451960075167554,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.472976521938858,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.29214722974768664,
            "coreLobeRadiusSolar": 0.10252476822181548,
            "companionLobeRadiusSolar": 0.16761216731848483,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.805,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3589458811569795,
            "releasedOrbitalEnergy": 0.9090238662752063,
            "unusedOrbitalEnergy": 0.1772596539236652,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.470307701125297,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2948160505612484,
            "coreLobeRadiusSolar": 0.1044064908187515,
            "companionLobeRadiusSolar": 0.17068849324669602,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.8200000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3654071389787835,
            "releasedOrbitalEnergy": 0.8923953809165133,
            "unusedOrbitalEnergy": 0.16063116856497234,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.467666096040453,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.2974576556460912,
            "coreLobeRadiusSolar": 0.10628587512391571,
            "companionLobeRadiusSolar": 0.17376099642886747,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.835,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3718603728097988,
            "releasedOrbitalEnergy": 0.8763643261695104,
            "unusedOrbitalEnergy": 0.14460011381796925,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.465050981883717,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.30007276980282843,
            "coreLobeRadiusSolar": 0.10816292549306174,
            "companionLobeRadiusSolar": 0.17682968398598387,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.85,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.37830559758778465,
            "releasedOrbitalEnergy": 0.8608990733547541,
            "unusedOrbitalEnergy": 0.12913486100321314,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.46246166600412,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.3026620856824253,
            "coreLobeRadiusSolar": 0.11003764627113156,
            "companionLobeRadiusSolar": 0.17989456302135454,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.865,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3847428282134445,
            "releasedOrbitalEnergy": 0.8459701876896428,
            "unusedOrbitalEnergy": 0.11420597533810178,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.45989748592938,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.30522626575716644,
            "coreLobeRadiusSolar": 0.11191004179228874,
            "companionLobeRadiusSolar": 0.18295564062066774,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.88,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.3911720795505419,
            "releasedOrbitalEnergy": 0.8315502413085692,
            "unusedOrbitalEnergy": 0.0997860289570283,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.45735780754783,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.30776594413871494,
            "coreLobeRadiusSolar": 0.1137801163799521,
            "companionLobeRadiusSolar": 0.1860129238520458,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.895,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.39759336642601384,
            "releasedOrbitalEnergy": 0.8176136450855208,
            "unusedOrbitalEnergy": 0.08584943273397967,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.45484202342902,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.31028172825752515,
            "coreLobeRadiusSolar": 0.11564787434682881,
            "companionLobeRadiusSolar": 0.1890664197660991,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.91,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.4040067036300859,
            "releasedOrbitalEnergy": 0.8041364970896054,
            "unusedOrbitalEnergy": 0.07237228473806447,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.45234955127022,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.3127742004163248,
            "coreLobeRadiusSolar": 0.11751331999494777,
            "companionLobeRadiusSolar": 0.1921161353959806,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.9249999999999999,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.41041210591638455,
            "releasedOrbitalEnergy": 0.7910964457854497,
            "unusedOrbitalEnergy": 0.05933223343390878,
            "energyResidual": -1.1102230246251565e-16,
            "requiredEscapedAngular": 22.44987983245752,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.31524391922902667,
            "coreLobeRadiusSolar": 0.11937645761569225,
            "companionLobeRadiusSolar": 0.19516207775743957,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.94,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.41680958800205126,
            "releasedOrbitalEnergy": 0.7784725663314266,
            "unusedOrbitalEnergy": 0.04670835397988564,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.447432330731306,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.3176914209552375,
            "coreLobeRadiusSolar": 0.12123729148983323,
            "companionLobeRadiusSolar": 0.19820425384887555,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.9550000000000001,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.4231991645678549,
            "releasedOrbitalEnergy": 0.7662452485356449,
            "unusedOrbitalEnergy": 0.03448103618410397,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.44500653094706,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.320117220739482,
            "coreLobeRadiusSolar": 0.12309582588756193,
            "companionLobeRadiusSolar": 0.20124267065139193,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.97,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.4295808502583036,
            "releasedOrbitalEnergy": 0.7543960952077743,
            "unusedOrbitalEnergy": 0.02263188285623325,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.44260193792321,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.3225218137633334,
            "coreLobeRadiusSolar": 0.12495206506852248,
            "companionLobeRadiusSolar": 0.20427733512884924,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 0.985,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.4359546596817577,
            "releasedOrbitalEnergy": 0.7429078297985189,
            "unusedOrbitalEnergy": 0.011143617446977793,
            "energyResidual": 2.220446049250313e-16,
            "requiredEscapedAngular": 22.440218075368723,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.324905676317822,
            "coreLobeRadiusSolar": 0.12680601328184463,
            "companionLobeRadiusSolar": 0.20730825422791857,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          },
          {
            "profile": {
              "id": "core-he-4m",
              "massSolar": 4,
              "radiusSolar": 42.307966360430115,
              "coreMassSolar": 0.48221818447237813,
              "coreCutRadiusSolar": 0.0761432670420586,
              "gravitationalCostUnits": 0.731764212351541,
              "gravityLambda": 0.45450176539214077,
              "originalSha256": "6200a8540d6d1da9e4b90c2bccb9c99c0ee609d5e3b352c8d6c3c5bf84ce204f",
              "coreCut": {
                "belowZone": 2222,
                "belowHydrogen": 0.009268033946080117,
                "nextZone": 2221,
                "nextHydrogen": 0.010029410520783771,
                "bracketMassSolar": 0.00019676609397917266
              },
              "license": "CC-BY-4.0",
              "attribution": {
                "creators": [
                  "Thoul, Anne",
                  "Chidester, Morgan"
                ],
                "title": "MESA Summer school 2022: Fun and Games with Convective Boundaries",
                "doi": "10.5281/zenodo.7082536",
                "changes": "Our gravity-only integral and native discrete core-cut aggregate; original profile bytes are obtained only from the named upstream source, not included in this feature."
              },
              "upstream": "https://zenodo.org/api/records/7082536/files/conv_boundaries_2022_solutions.zip/content"
            },
            "efficiency": 1,
            "companionMass": 1.4,
            "companionRadius": 2e-05,
            "initialSeparation": 89.23962502933215,
            "finalSeparation": 0.4423206074105399,
            "releasedOrbitalEnergy": 0.731764212351541,
            "unusedOrbitalEnergy": 0,
            "energyResidual": 0,
            "requiredEscapedAngular": 22.43785448488378,
            "initialAngular": 22.765123751686545,
            "finalAngular": 0.3272692668027663,
            "coreLobeRadiusSolar": 0.12865767476617598,
            "companionLobeRadiusSolar": 0.2103354348781344,
            "coreFits": true,
            "companionFits": true,
            "directOverlap": false,
            "event": "detached-with-supplied-radii",
            "geometryRefined": true,
            "predictsGasDynamics": false,
            "predictsMergerProbability": false
          }
        ]
      }
    }
  ]
}
