{
  "kind": "measured processed Cassini UVIS binned photon profile, not a browser simulation",
  "product_id": "UVIS_HSP_2008_261_ALPARA_E_TAU01KM.TAB",
  "dataset_version": "3.0,2020",
  "input_sha256": "6baadf1d91701ad8e868745f7aad9e49d853cec169ce45fea51b9a4f30fdd94c",
  "numpy_version": "2.0.2",
  "shape": [
    1001,
    12
  ],
  "radial_sample_km": 1,
  "uv_band_nm": [
    110,
    190
  ],
  "opening_angle_degrees": 54.4,
  "normal_depth_from_counts_formula": "-abs(sin B)*log((mean_signal-background_model)/star_model)",
  "maximum_abs_archive_tau_difference": 0.0017045580840182595,
  "difference_explanation": "Printed54.4-degree opening angle, rounded per-bin counts/models and rounded archive tau; the unrounded original geometry is not in this binned cutout.",
  "measured": {
    "radius_km": [
      125000.0,
      125001.0,
      125002.0,
      125003.0,
      125004.0,
      125005.0,
      125006.0,
      125007.0,
      125008.0,
      125009.0,
      125010.0,
      125011.0,
      125012.0,
      125013.0,
      125014.0,
      125015.0,
      125016.0,
      125017.0,
      125018.0,
      125019.0,
      125020.0,
      125021.0,
      125022.0,
      125023.0,
      125024.0,
      125025.0,
      125026.0,
      125027.0,
      125028.0,
      125029.0,
      125030.0,
      125031.0,
      125032.0,
      125033.0,
      125034.0,
      125035.0,
      125036.0,
      125037.0,
      125038.0,
      125039.0,
      125040.0,
      125041.0,
      125042.0,
      125043.0,
      125044.0,
      125045.0,
      125046.0,
      125047.0,
      125048.0,
      125049.0,
      125050.0,
      125051.0,
      125052.0,
      125053.0,
      125054.0,
      125055.0,
      125056.0,
      125057.0,
      125058.0,
      125059.0,
      125060.0,
      125061.0,
      125062.0,
      125063.0,
      125064.0,
      125065.0,
      125066.0,
      125067.0,
      125068.0,
      125069.0,
      125070.0,
      125071.0,
      125072.0,
      125073.0,
      125074.0,
      125075.0,
      125076.0,
      125077.0,
      125078.0,
      125079.0,
      125080.0,
      125081.0,
      125082.0,
      125083.0,
      125084.0,
      125085.0,
      125086.0,
      125087.0,
      125088.0,
      125089.0,
      125090.0,
      125091.0,
      125092.0,
      125093.0,
      125094.0,
      125095.0,
      125096.0,
      125097.0,
      125098.0,
      125099.0,
      125100.0,
      125101.0,
      125102.0,
      125103.0,
      125104.0,
      125105.0,
      125106.0,
      125107.0,
      125108.0,
      125109.0,
      125110.0,
      125111.0,
      125112.0,
      125113.0,
      125114.0,
      125115.0,
      125116.0,
      125117.0,
      125118.0,
      125119.0,
      125120.0,
      125121.0,
      125122.0,
      125123.0,
      125124.0,
      125125.0,
      125126.0,
      125127.0,
      125128.0,
      125129.0,
      125130.0,
      125131.0,
      125132.0,
      125133.0,
      125134.0,
      125135.0,
      125136.0,
      125137.0,
      125138.0,
      125139.0,
      125140.0,
      125141.0,
      125142.0,
      125143.0,
      125144.0,
      125145.0,
      125146.0,
      125147.0,
      125148.0,
      125149.0,
      125150.0,
      125151.0,
      125152.0,
      125153.0,
      125154.0,
      125155.0,
      125156.0,
      125157.0,
      125158.0,
      125159.0,
      125160.0,
      125161.0,
      125162.0,
      125163.0,
      125164.0,
      125165.0,
      125166.0,
      125167.0,
      125168.0,
      125169.0,
      125170.0,
      125171.0,
      125172.0,
      125173.0,
      125174.0,
      125175.0,
      125176.0,
      125177.0,
      125178.0,
      125179.0,
      125180.0,
      125181.0,
      125182.0,
      125183.0,
      125184.0,
      125185.0,
      125186.0,
      125187.0,
      125188.0,
      125189.0,
      125190.0,
      125191.0,
      125192.0,
      125193.0,
      125194.0,
      125195.0,
      125196.0,
      125197.0,
      125198.0,
      125199.0,
      125200.0,
      125201.0,
      125202.0,
      125203.0,
      125204.0,
      125205.0,
      125206.0,
      125207.0,
      125208.0,
      125209.0,
      125210.0,
      125211.0,
      125212.0,
      125213.0,
      125214.0,
      125215.0,
      125216.0,
      125217.0,
      125218.0,
      125219.0,
      125220.0,
      125221.0,
      125222.0,
      125223.0,
      125224.0,
      125225.0,
      125226.0,
      125227.0,
      125228.0,
      125229.0,
      125230.0,
      125231.0,
      125232.0,
      125233.0,
      125234.0,
      125235.0,
      125236.0,
      125237.0,
      125238.0,
      125239.0,
      125240.0,
      125241.0,
      125242.0,
      125243.0,
      125244.0,
      125245.0,
      125246.0,
      125247.0,
      125248.0,
      125249.0,
      125250.0,
      125251.0,
      125252.0,
      125253.0,
      125254.0,
      125255.0,
      125256.0,
      125257.0,
      125258.0,
      125259.0,
      125260.0,
      125261.0,
      125262.0,
      125263.0,
      125264.0,
      125265.0,
      125266.0,
      125267.0,
      125268.0,
      125269.0,
      125270.0,
      125271.0,
      125272.0,
      125273.0,
      125274.0,
      125275.0,
      125276.0,
      125277.0,
      125278.0,
      125279.0,
      125280.0,
      125281.0,
      125282.0,
      125283.0,
      125284.0,
      125285.0,
      125286.0,
      125287.0,
      125288.0,
      125289.0,
      125290.0,
      125291.0,
      125292.0,
      125293.0,
      125294.0,
      125295.0,
      125296.0,
      125297.0,
      125298.0,
      125299.0,
      125300.0,
      125301.0,
      125302.0,
      125303.0,
      125304.0,
      125305.0,
      125306.0,
      125307.0,
      125308.0,
      125309.0,
      125310.0,
      125311.0,
      125312.0,
      125313.0,
      125314.0,
      125315.0,
      125316.0,
      125317.0,
      125318.0,
      125319.0,
      125320.0,
      125321.0,
      125322.0,
      125323.0,
      125324.0,
      125325.0,
      125326.0,
      125327.0,
      125328.0,
      125329.0,
      125330.0,
      125331.0,
      125332.0,
      125333.0,
      125334.0,
      125335.0,
      125336.0,
      125337.0,
      125338.0,
      125339.0,
      125340.0,
      125341.0,
      125342.0,
      125343.0,
      125344.0,
      125345.0,
      125346.0,
      125347.0,
      125348.0,
      125349.0,
      125350.0,
      125351.0,
      125352.0,
      125353.0,
      125354.0,
      125355.0,
      125356.0,
      125357.0,
      125358.0,
      125359.0,
      125360.0,
      125361.0,
      125362.0,
      125363.0,
      125364.0,
      125365.0,
      125366.0,
      125367.0,
      125368.0,
      125369.0,
      125370.0,
      125371.0,
      125372.0,
      125373.0,
      125374.0,
      125375.0,
      125376.0,
      125377.0,
      125378.0,
      125379.0,
      125380.0,
      125381.0,
      125382.0,
      125383.0,
      125384.0,
      125385.0,
      125386.0,
      125387.0,
      125388.0,
      125389.0,
      125390.0,
      125391.0,
      125392.0,
      125393.0,
      125394.0,
      125395.0,
      125396.0,
      125397.0,
      125398.0,
      125399.0,
      125400.0,
      125401.0,
      125402.0,
      125403.0,
      125404.0,
      125405.0,
      125406.0,
      125407.0,
      125408.0,
      125409.0,
      125410.0,
      125411.0,
      125412.0,
      125413.0,
      125414.0,
      125415.0,
      125416.0,
      125417.0,
      125418.0,
      125419.0,
      125420.0,
      125421.0,
      125422.0,
      125423.0,
      125424.0,
      125425.0,
      125426.0,
      125427.0,
      125428.0,
      125429.0,
      125430.0,
      125431.0,
      125432.0,
      125433.0,
      125434.0,
      125435.0,
      125436.0,
      125437.0,
      125438.0,
      125439.0,
      125440.0,
      125441.0,
      125442.0,
      125443.0,
      125444.0,
      125445.0,
      125446.0,
      125447.0,
      125448.0,
      125449.0,
      125450.0,
      125451.0,
      125452.0,
      125453.0,
      125454.0,
      125455.0,
      125456.0,
      125457.0,
      125458.0,
      125459.0,
      125460.0,
      125461.0,
      125462.0,
      125463.0,
      125464.0,
      125465.0,
      125466.0,
      125467.0,
      125468.0,
      125469.0,
      125470.0,
      125471.0,
      125472.0,
      125473.0,
      125474.0,
      125475.0,
      125476.0,
      125477.0,
      125478.0,
      125479.0,
      125480.0,
      125481.0,
      125482.0,
      125483.0,
      125484.0,
      125485.0,
      125486.0,
      125487.0,
      125488.0,
      125489.0,
      125490.0,
      125491.0,
      125492.0,
      125493.0,
      125494.0,
      125495.0,
      125496.0,
      125497.0,
      125498.0,
      125499.0,
      125500.0,
      125501.0,
      125502.0,
      125503.0,
      125504.0,
      125505.0,
      125506.0,
      125507.0,
      125508.0,
      125509.0,
      125510.0,
      125511.0,
      125512.0,
      125513.0,
      125514.0,
      125515.0,
      125516.0,
      125517.0,
      125518.0,
      125519.0,
      125520.0,
      125521.0,
      125522.0,
      125523.0,
      125524.0,
      125525.0,
      125526.0,
      125527.0,
      125528.0,
      125529.0,
      125530.0,
      125531.0,
      125532.0,
      125533.0,
      125534.0,
      125535.0,
      125536.0,
      125537.0,
      125538.0,
      125539.0,
      125540.0,
      125541.0,
      125542.0,
      125543.0,
      125544.0,
      125545.0,
      125546.0,
      125547.0,
      125548.0,
      125549.0,
      125550.0,
      125551.0,
      125552.0,
      125553.0,
      125554.0,
      125555.0,
      125556.0,
      125557.0,
      125558.0,
      125559.0,
      125560.0,
      125561.0,
      125562.0,
      125563.0,
      125564.0,
      125565.0,
      125566.0,
      125567.0,
      125568.0,
      125569.0,
      125570.0,
      125571.0,
      125572.0,
      125573.0,
      125574.0,
      125575.0,
      125576.0,
      125577.0,
      125578.0,
      125579.0,
      125580.0,
      125581.0,
      125582.0,
      125583.0,
      125584.0,
      125585.0,
      125586.0,
      125587.0,
      125588.0,
      125589.0,
      125590.0,
      125591.0,
      125592.0,
      125593.0,
      125594.0,
      125595.0,
      125596.0,
      125597.0,
      125598.0,
      125599.0,
      125600.0,
      125601.0,
      125602.0,
      125603.0,
      125604.0,
      125605.0,
      125606.0,
      125607.0,
      125608.0,
      125609.0,
      125610.0,
      125611.0,
      125612.0,
      125613.0,
      125614.0,
      125615.0,
      125616.0,
      125617.0,
      125618.0,
      125619.0,
      125620.0,
      125621.0,
      125622.0,
      125623.0,
      125624.0,
      125625.0,
      125626.0,
      125627.0,
      125628.0,
      125629.0,
      125630.0,
      125631.0,
      125632.0,
      125633.0,
      125634.0,
      125635.0,
      125636.0,
      125637.0,
      125638.0,
      125639.0,
      125640.0,
      125641.0,
      125642.0,
      125643.0,
      125644.0,
      125645.0,
      125646.0,
      125647.0,
      125648.0,
      125649.0,
      125650.0,
      125651.0,
      125652.0,
      125653.0,
      125654.0,
      125655.0,
      125656.0,
      125657.0,
      125658.0,
      125659.0,
      125660.0,
      125661.0,
      125662.0,
      125663.0,
      125664.0,
      125665.0,
      125666.0,
      125667.0,
      125668.0,
      125669.0,
      125670.0,
      125671.0,
      125672.0,
      125673.0,
      125674.0,
      125675.0,
      125676.0,
      125677.0,
      125678.0,
      125679.0,
      125680.0,
      125681.0,
      125682.0,
      125683.0,
      125684.0,
      125685.0,
      125686.0,
      125687.0,
      125688.0,
      125689.0,
      125690.0,
      125691.0,
      125692.0,
      125693.0,
      125694.0,
      125695.0,
      125696.0,
      125697.0,
      125698.0,
      125699.0,
      125700.0,
      125701.0,
      125702.0,
      125703.0,
      125704.0,
      125705.0,
      125706.0,
      125707.0,
      125708.0,
      125709.0,
      125710.0,
      125711.0,
      125712.0,
      125713.0,
      125714.0,
      125715.0,
      125716.0,
      125717.0,
      125718.0,
      125719.0,
      125720.0,
      125721.0,
      125722.0,
      125723.0,
      125724.0,
      125725.0,
      125726.0,
      125727.0,
      125728.0,
      125729.0,
      125730.0,
      125731.0,
      125732.0,
      125733.0,
      125734.0,
      125735.0,
      125736.0,
      125737.0,
      125738.0,
      125739.0,
      125740.0,
      125741.0,
      125742.0,
      125743.0,
      125744.0,
      125745.0,
      125746.0,
      125747.0,
      125748.0,
      125749.0,
      125750.0,
      125751.0,
      125752.0,
      125753.0,
      125754.0,
      125755.0,
      125756.0,
      125757.0,
      125758.0,
      125759.0,
      125760.0,
      125761.0,
      125762.0,
      125763.0,
      125764.0,
      125765.0,
      125766.0,
      125767.0,
      125768.0,
      125769.0,
      125770.0,
      125771.0,
      125772.0,
      125773.0,
      125774.0,
      125775.0,
      125776.0,
      125777.0,
      125778.0,
      125779.0,
      125780.0,
      125781.0,
      125782.0,
      125783.0,
      125784.0,
      125785.0,
      125786.0,
      125787.0,
      125788.0,
      125789.0,
      125790.0,
      125791.0,
      125792.0,
      125793.0,
      125794.0,
      125795.0,
      125796.0,
      125797.0,
      125798.0,
      125799.0,
      125800.0,
      125801.0,
      125802.0,
      125803.0,
      125804.0,
      125805.0,
      125806.0,
      125807.0,
      125808.0,
      125809.0,
      125810.0,
      125811.0,
      125812.0,
      125813.0,
      125814.0,
      125815.0,
      125816.0,
      125817.0,
      125818.0,
      125819.0,
      125820.0,
      125821.0,
      125822.0,
      125823.0,
      125824.0,
      125825.0,
      125826.0,
      125827.0,
      125828.0,
      125829.0,
      125830.0,
      125831.0,
      125832.0,
      125833.0,
      125834.0,
      125835.0,
      125836.0,
      125837.0,
      125838.0,
      125839.0,
      125840.0,
      125841.0,
      125842.0,
      125843.0,
      125844.0,
      125845.0,
      125846.0,
      125847.0,
      125848.0,
      125849.0,
      125850.0,
      125851.0,
      125852.0,
      125853.0,
      125854.0,
      125855.0,
      125856.0,
      125857.0,
      125858.0,
      125859.0,
      125860.0,
      125861.0,
      125862.0,
      125863.0,
      125864.0,
      125865.0,
      125866.0,
      125867.0,
      125868.0,
      125869.0,
      125870.0,
      125871.0,
      125872.0,
      125873.0,
      125874.0,
      125875.0,
      125876.0,
      125877.0,
      125878.0,
      125879.0,
      125880.0,
      125881.0,
      125882.0,
      125883.0,
      125884.0,
      125885.0,
      125886.0,
      125887.0,
      125888.0,
      125889.0,
      125890.0,
      125891.0,
      125892.0,
      125893.0,
      125894.0,
      125895.0,
      125896.0,
      125897.0,
      125898.0,
      125899.0,
      125900.0,
      125901.0,
      125902.0,
      125903.0,
      125904.0,
      125905.0,
      125906.0,
      125907.0,
      125908.0,
      125909.0,
      125910.0,
      125911.0,
      125912.0,
      125913.0,
      125914.0,
      125915.0,
      125916.0,
      125917.0,
      125918.0,
      125919.0,
      125920.0,
      125921.0,
      125922.0,
      125923.0,
      125924.0,
      125925.0,
      125926.0,
      125927.0,
      125928.0,
      125929.0,
      125930.0,
      125931.0,
      125932.0,
      125933.0,
      125934.0,
      125935.0,
      125936.0,
      125937.0,
      125938.0,
      125939.0,
      125940.0,
      125941.0,
      125942.0,
      125943.0,
      125944.0,
      125945.0,
      125946.0,
      125947.0,
      125948.0,
      125949.0,
      125950.0,
      125951.0,
      125952.0,
      125953.0,
      125954.0,
      125955.0,
      125956.0,
      125957.0,
      125958.0,
      125959.0,
      125960.0,
      125961.0,
      125962.0,
      125963.0,
      125964.0,
      125965.0,
      125966.0,
      125967.0,
      125968.0,
      125969.0,
      125970.0,
      125971.0,
      125972.0,
      125973.0,
      125974.0,
      125975.0,
      125976.0,
      125977.0,
      125978.0,
      125979.0,
      125980.0,
      125981.0,
      125982.0,
      125983.0,
      125984.0,
      125985.0,
      125986.0,
      125987.0,
      125988.0,
      125989.0,
      125990.0,
      125991.0,
      125992.0,
      125993.0,
      125994.0,
      125995.0,
      125996.0,
      125997.0,
      125998.0,
      125999.0,
      126000.0
    ],
    "transmission": [
      0.39848562365701423,
      0.3862068965517242,
      0.4652000409290904,
      0.3479381970735701,
      0.4441215593983424,
      0.42815921416146524,
      0.49753402230635424,
      0.45986984815618226,
      0.3960217738304752,
      0.3462939467114149,
      0.37085089837514845,
      0.3814922440960996,
      0.5055048499979536,
      0.4555723816150289,
      0.47972005075103347,
      0.42630868088241314,
      0.423034420660582,
      0.4447263946302133,
      0.3614374002373839,
      0.524536487537347,
      0.4621209020586911,
      0.38435722179020176,
      0.530471084189416,
      0.3819015266238285,
      0.5574837310195228,
      0.3516146195718905,
      0.39438464371955967,
      0.4387917979781443,
      0.4866778537224246,
      0.4357221790201777,
      0.46313463073239614,
      0.36859230155319544,
      0.3677737532486136,
      0.3561094399083226,
      0.4160681032189412,
      0.43182515808214134,
      0.5239118423475966,
      0.5253443018806148,
      0.3739128655329773,
      0.3446497636441771,
      0.520023737900833,
      0.38025661489348644,
      0.45269813984897794,
      0.45986043751406885,
      0.36675056786788635,
      0.4234350379601777,
      0.44696830171690516,
      0.3409662962735589,
      0.43121124685370504,
      0.4760267665295599,
      0.44348947142243234,
      0.49301164384963275,
      0.36327173757341363,
      0.4463452566096423,
      0.4105345011050176,
      0.4469591552754359,
      0.43509044773676026,
      0.38659245313906854,
      0.541704182696243,
      0.3818858967013179,
      0.3655152656134894,
      0.44327576328067453,
      0.4533027748219694,
      0.5382254235900794,
      0.4230171073094868,
      0.5265613489400017,
      0.44041090284030454,
      0.42874682819022675,
      0.47683555701072283,
      0.4573954325939265,
      0.39007121224523206,
      0.4400016370631088,
      0.32827207988867974,
      0.3796349349267415,
      0.47908651878529923,
      0.3824997953671114,
      0.46557122101946025,
      0.42403159467146867,
      0.5298246332030532,
      0.40070392273220246,
      0.5095663917821114,
      0.4788720865988664,
      0.4183019910372629,
      0.4976979271112567,
      0.5797540363011316,
      0.3894493441650126,
      0.45370275634860546,
      0.4782582004952015,
      0.3855613988418016,
      0.493605353086824,
      0.4223945650616956,
      0.452884241543719,
      0.43098897051300417,
      0.3335857087315067,
      0.3900632302686775,
      0.3990668931224294,
      0.4262825103849066,
      0.4467453805070699,
      0.3937384898710866,
      0.4624923265807244,
      0.4923675056271742,
      0.43896050746879484,
      0.4262737875997545,
      0.4031512175158585,
      0.3890321260487007,
      0.4099038264784121,
      0.5439328831594026,
      0.49461837528135877,
      0.34401473296500923,
      0.3710251688152241,
      0.48663801923470434,
      0.41010845099242893,
      0.513034581542869,
      0.554573357888275,
      0.34913034581542873,
      0.5244935543278085,
      0.42525066502967057,
      0.4592183343564559,
      0.5001432371598118,
      0.5316554123183959,
      0.40662983425414373,
      0.4692353338380635,
      0.5334861165108142,
      0.4958359763458902,
      0.40948619835894495,
      0.4397700067524708,
      0.42769740746045715,
      0.5263244050663993,
      0.4545026702952672,
      0.42585582451760756,
      0.37654232571463647,
      0.33173047410529766,
      0.4870373022856091,
      0.4802848314951607,
      0.46493830697141453,
      0.43792842380962127,
      0.4542980499682839,
      0.4450901352540362,
      0.49644983732684006,
      0.45327494833336746,
      0.390661128276483,
      0.36201428249882345,
      0.5246874424505331,
      0.4461132368889526,
      0.4755688328695368,
      0.3976100834833852,
      0.4221640202979211,
      0.3609837944017025,
      0.4006793255852022,
      0.4491733507939107,
      0.39433622524144707,
      0.46513340972335904,
      0.4925519724995908,
      0.5095351121296449,
      0.5146505156326732,
      0.5379767556064823,
      0.3656899656244885,
      0.49787199214274025,
      0.3908577508593878,
      0.5662137829431986,
      0.4823211654935342,
      0.520584383696186,
      0.3364298575871665,
      0.5169012931740056,
      0.4567441479783926,
      0.5831969225732526,
      0.43403175642494685,
      0.48415280420682183,
      0.4591901458883228,
      0.5080924027581691,
      0.4387289505452909,
      0.4473226525893643,
      0.4643054447240808,
      0.40762793362388233,
      0.4999079246209564,
      0.4481411004030856,
      0.5046139995498538,
      0.45734863830744993,
      0.5029771039224112,
      0.4726945348147239,
      0.3883944100014324,
      0.4755591021627484,
      0.5443087185153357,
      0.43586438319726645,
      0.5240521351257341,
      0.5463548380496389,
      0.4931557301577558,
      0.5678390931598225,
      0.45898553393489255,
      0.4888588791357192,
      0.4837336825305889,
      0.41744076605147934,
      0.420305274788231,
      0.44260752138151166,
      0.5134018087326595,
      0.45140565535867744,
      0.5473666980398576,
      0.3977984204280394,
      0.4573392805990915,
      0.5199492572738061,
      0.5381593485288702,
      0.5696689446331383,
      0.45611163399762655,
      0.5150386708679461,
      0.43155870196832674,
      0.4462904611859066,
      0.544502189303106,
      0.4139624340139952,
      0.4620452592380407,
      0.5221999427098253,
      0.5058313213569587,
      0.4381061505094734,
      0.40659655440520526,
      0.37589769820971874,
      0.49313554987212277,
      0.47185677749360616,
      0.42009207161125317,
      0.47144757033248086,
      0.46776470588235297,
      0.41763682864450136,
      0.5316010230179029,
      0.44403069053708444,
      0.44975959079283895,
      0.44689514066496167,
      0.5101176470588236,
      0.4419846547314578,
      0.5058209718670077,
      0.4205012787723786,
      0.41804603580562666,
      0.5299641943734016,
      0.488225063938619,
      0.5017289002557546,
      0.559222506393862,
      0.538762148337596,
      0.5442864450127878,
      0.47061952696620024,
      0.5514362877485883,
      0.5414109174236845,
      0.48657827972829204,
      0.39287175709959904,
      0.432359440216057,
      0.5385465259022834,
      0.52217857435142,
      0.49292086095425164,
      0.6664211473934036,
      0.5252475652672068,
      0.4548653735984942,
      0.5530730829036746,
      0.5630984532285785,
      0.5139945985759883,
      0.4855552827563631,
      0.4536377772321794,
      0.41926507897536625,
      0.465913740895327,
      0.5606432604959489,
      0.48882887306653583,
      0.6029953351338081,
      0.6635567558720026,
      0.5064140597827199,
      0.4241667860138716,
      0.5819096916750209,
      0.3914315526730364,
      0.37506393600261884,
      0.35030791578861226,
      0.3136853734885529,
      0.3171634920310166,
      0.2660146899359617,
      0.17558360783190458,
      0.12791292427931336,
      0.16269410970395073,
      0.21016019804816172,
      0.18847310595985842,
      0.13814268469832436,
      0.18274444012521227,
      0.1719008940810606,
      0.25455735826666936,
      0.2568079055588518,
      0.23818974159625178,
      0.18438120179225403,
      0.2895431388996869,
      0.21588886388280784,
      0.34866402062277513,
      0.47019108801505793,
      0.37096444208028156,
      0.2966979008961087,
      0.2911739432873685,
      0.42272597078440205,
      0.35950734481770946,
      0.4251810630549531,
      0.5428209010188633,
      0.36605425753917925,
      0.6035844347150048,
      0.4871721428863702,
      0.5661442775890994,
      0.4487090306477352,
      0.41761119522075374,
      0.5098817463889684,
      0.3028356315724866,
      0.5068128810507795,
      0.4472768934899137,
      0.36953230492246003,
      0.4450263922419085,
      0.2854453946560825,
      0.1581897786325136,
      0.07451052599275763,
      0.10540313836207779,
      0.2574111581660836,
      0.30876245422369525,
      0.3005789807483787,
      0.3703430921254527,
      0.2952597229894229,
      0.42865034063708346,
      0.5160089199860881,
      0.4495181979991408,
      0.5047566439575278,
      0.4752961394463881,
      0.36441007385584817,
      0.4251723644100739,
      0.5469015323554083,
      0.5004603203829866,
      0.7162994332944619,
      0.6823380183718979,
      0.5305345854047752,
      0.45892919249575487,
      0.48143374455287546,
      0.3901880153030955,
      0.24288549274739665,
      0.13854337152209492,
      0.11890343698854337,
      0.2496317512274959,
      0.18723404255319145,
      0.08432896890343698,
      0.26395253682487724,
      0.2602700490998363,
      0.20605564648117836,
      0.3748363338788871,
      0.3527414075286416,
      0.5080196399345336,
      0.4689443535188216,
      0.5252045826513911,
      0.6502045826513911,
      0.5661211129296235,
      0.548936170212766,
      0.5039279869067104,
      0.35315057283142387,
      0.287684124386252,
      0.288911620294599,
      0.31775777414075285,
      0.4280278232405892,
      0.37094167467932326,
      0.45277306110758786,
      0.7395920705386552,
      0.4912338127288722,
      0.6076389599230785,
      0.3783064994578671,
      0.4349747345594403,
      0.3468014156829852,
      0.19091262453714122,
      0.2105521572799247,
      0.20359648943352224,
      0.35048382807225714,
      0.3069086147992062,
      0.3603035944436489,
      0.3304351383973323,
      0.4139031525541622,
      0.3866942165667642,
      0.40878869090239567,
      0.2921789652421186,
      0.4705713876557354,
      0.588613162578507,
      0.45686463042900105,
      0.41881303573985806,
      0.5437993535452723,
      0.542571907859744,
      0.3181539216889653,
      0.3386113497811056,
      0.3676608976719447,
      0.2236406039032773,
      0.12585409762284686,
      0.17045129086371263,
      0.3560001636594248,
      0.2416431406243607,
      0.2502352604230596,
      0.2475757947710814,
      0.45133177856879836,
      0.4106214966654393,
      0.44601284726484197,
      0.5591424246143775,
      0.5286608567570885,
      0.5223190540485251,
      0.5687574158176835,
      0.5079988543840269,
      0.33554273556728453,
      0.2882860766744405,
      0.06673213043656152,
      0.18026716854530203,
      0.3369678620379273,
      0.3257165067610417,
      0.41102223676942906,
      0.3549700304809443,
      0.517398686659984,
      0.4122496573450893,
      0.5368328457746047,
      0.5202626680031913,
      0.3040320765910439,
      0.23591023464190003,
      0.1790397479696418,
      0.30873718879774154,
      0.2230223185974674,
      0.34208211443651165,
      0.590430210911769,
      0.49162285457111876,
      0.5830656874578074,
      0.607409528875069,
      0.4455945829838594,
      0.35722030153632145,
      0.17044780394002004,
      0.2864390483399137,
      0.39751247852057936,
      0.29809344570820717,
      0.5010228295556829,
      0.5447999345389085,
      0.6104655920137468,
      0.5040913182227315,
      0.3660093282055479,
      0.18762785369446036,
      0.11132476884052042,
      0.4684968496849685,
      0.25615743392521073,
      0.6192619261926193,
      0.4445626380819901,
      0.2772277227722772,
      0.31343588904344977,
      0.30341215939775795,
      0.3776695851403323,
      0.34862122575893956,
      0.5619834710743802,
      0.2913427706407004,
      0.16573930120284755,
      0.32182309140004906,
      0.4466082971933557,
      0.5343561419658382,
      0.5034673212641916,
      0.46541884013501084,
      0.34104531042242,
      0.22996829293239235,
      0.3416589956019229,
      0.5640175923084791,
      0.3801166001841056,
      0.4774879819985681,
      0.5713818144625141,
      0.21892195970133987,
      0.239787255804439,
      0.6734581159864989,
      0.6435921039173571,
      0.5163547100337528,
      0.2138079165388156,
      0.36150148307251717,
      0.45764549452797393,
      0.6740718011660018,
      0.2847908356346528,
      0.5812007773345608,
      0.4740104326480516,
      0.34063618696941805,
      0.42142944810375155,
      0.5361862291862701,
      0.5355725565601603,
      0.4453626805220309,
      0.2680112915763204,
      0.35269811397946244,
      0.45927259338051796,
      0.6151454404123881,
      0.48238759563065087,
      0.33162868714969523,
      0.29542200220922143,
      0.4392259542609336,
      0.5635969398191711,
      0.5983717219653889,
      0.5327087509716484,
      0.32446917317841506,
      0.28498956756535615,
      0.4588634782964448,
      0.46909135539827357,
      0.5871210571533773,
      0.5167532626927954,
      0.1843472568833613,
      0.4349213492339477,
      0.5494712295702334,
      0.47051363348129366,
      0.5063104710863829,
      0.25368707427332415,
      0.5339251743817375,
      0.56869924519811,
      0.43798964960009823,
      0.2567553746394747,
      0.47235461370098397,
      0.6081780432425798,
      0.5181745658354981,
      0.4664225663264263,
      0.4917871826866038,
      0.33755395094810486,
      0.5776995929388181,
      0.647247734571563,
      0.6707713707120503,
      0.3981017448401416,
      0.3954425511894778,
      0.5134698386074007,
      0.6157465174790844,
      0.5963139484934645,
      0.43777614138438886,
      0.3103420062182949,
      0.5169366715758469,
      0.7486908852888234,
      0.5967108492881689,
      0.4588447062673867,
      0.23649975454099165,
      0.4993454426444118,
      0.507322860415644,
      0.4766404843724432,
      0.3093192603501882,
      0.5003681885125185,
      0.3637293405334643,
      0.46314023891343487,
      0.5746195385370644,
      0.6361888397970873,
      0.4017754868270333,
      0.3252740958926526,
      0.5457781050564556,
      0.5660284732449681,
      0.5582556046473572,
      0.4735722467681231,
      0.3181148748159057,
      0.5058806684530263,
      0.5253124424717217,
      0.5289942522857902,
      0.23281310724293805,
      0.5512896561598724,
      0.6284031172656426,
      0.3297674323467447,
      0.43981263678946186,
      0.6218576775961873,
      0.38663093947513755,
      0.3095174783693673,
      0.5298124322444722,
      0.6331076520280635,
      0.4745852850334431,
      0.27617664505307943,
      0.4766307349301479,
      0.5273578923684265,
      0.5590623657673505,
      0.34776739143774676,
      0.4567898709321115,
      0.5946531939700137,
      0.5026079486182986,
      0.4923806991347747,
      0.48889343424013093,
      0.39766823481284513,
      0.38355491920638174,
      0.5345060339537738,
      0.5717324606258949,
      0.39562282675393745,
      0.4950296584168542,
      0.5394150132951524,
      0.4494170587032113,
      0.4011454285129884,
      0.440621804049908,
      0.5717324606258949,
      0.47396195541010433,
      0.4056453262425854,
      0.4017590509306607,
      0.4921660871343833,
      0.4357128247085294,
      0.31769277970955206,
      0.554346492125179,
      0.39869093884229906,
      0.4800981795868276,
      0.47539374105133975,
      0.47887093475148296,
      0.4798838231985438,
      0.459634697592604,
      0.5312225153913809,
      0.4845881655110348,
      0.4203636661144179,
      0.49236055715775917,
      0.5032009981387168,
      0.520177537788141,
      0.4804974330653904,
      0.4659753328833528,
      0.42445439856006223,
      0.49747397271481464,
      0.4393855719866643,
      0.4780429935980038,
      0.49808758258166125,
      0.5616984721114316,
      0.5377676873044119,
      0.42445439856006223,
      0.5079053404512078,
      0.46822523572845726,
      0.44040825509807535,
      0.4136139575791046,
      0.544312859217443,
      0.3702446207968584,
      0.5011453816575309,
      0.4316043524502986,
      0.4553301153562955,
      0.5408246747934222,
      0.5301889879734926,
      0.5066677575063405,
      0.4483760124355723,
      0.46657939949275956,
      0.4344678065941258,
      0.5093266792113229,
      0.5768223840301072,
      0.43262701464452263,
      0.41912787368076576,
      0.428127300989937,
      0.36881289372494475,
      0.43549046878834985,
      0.4201505358749898,
      0.5091221467724781,
      0.4203550683138346,
      0.5052360304344269,
      0.4041970056450953,
      0.45716155686908144,
      0.4459125028122636,
      0.4228008099318921,
      0.4632974045364367,
      0.4373223160779662,
      0.42259628167631363,
      0.4731147608042051,
      0.394575910662058,
      0.5506309696684597,
      0.43200458143292503,
      0.4616611784918087,
      0.5144294684310637,
      0.48600004090565113,
      0.4455034463011065,
      0.4127789254085452,
      0.36062422023602564,
      0.46391098930317226,
      0.444889861534371,
      0.4547072178021394,
      0.5332460679442865,
      0.43139099666618946,
      0.35592007035771994,
      0.47250117603746955,
      0.4514255327852089,
      0.43833599214627567,
      0.4244283552174091,
      0.4526526772201089,
      0.4297459811019757,
      0.4272916922321758,
      0.4229966867100258,
      0.42136049413015914,
      0.4232012107825091,
      0.5352804025033747,
      0.45449339387245885,
      0.44488076246574226,
      0.5084877490080583,
      0.5471427987074079,
      0.5166687119073915,
      0.538552787663108,
      0.371252096371743,
      0.4771955659181086,
      0.36838875935697635,
      0.4426309976684257,
      0.4174745367529759,
      0.32912013744017676,
      0.3499815928334766,
      0.38985581347786075,
      0.4397586665303201,
      0.5420186113099499,
      0.46614173228346456,
      0.4998875140607424,
      0.5821045096635649,
      0.5191123836793128,
      0.6268943654770426,
      0.47800388587790166,
      0.39517333060640153,
      0.37983433888945706,
      0.3053890990898865,
      0.3886286941405052,
      0.4653236527252275,
      0.5360875345127314,
      0.5837406687800388,
      0.6166683709990797,
      0.5373146538500869,
      0.5189078637897536,
      0.40908068309643114,
      0.28820942836690866,
      0.4029450864096534,
      0.47043664996420903,
      0.6097022251308901,
      0.5546875000000001,
      0.534440445026178,
      0.4992637434554974,
      0.4047774869109948,
      0.3027241492146597,
      0.2538448952879581,
      0.42788776178010474,
      0.5150114528795812,
      0.5955906413612566,
      0.41909358638743455,
      0.37164594240837695,
      0.2325752617801047,
      0.33196989528795817,
      0.4910831151832461,
      0.45979221204188486,
      0.6305628272251309,
      0.6626717931937173,
      0.5283049738219895,
      0.4448625654450262,
      0.2636616492146597,
      0.41520778795811525,
      0.48637925392670156,
      0.5638791745914883,
      0.5914882303617809,
      0.5174550585925518,
      0.22398102133055198,
      0.37777368754729335,
      0.5282941693764444,
      0.5710370779393419,
      0.4833016340470786,
      0.28778861688856167,
      0.3548683968341616,
      0.5029347403726201,
      0.6411845307483077,
      0.5487453217988834,
      0.39822483996973235,
      0.26202016483628854,
      0.4395361678630591,
      0.5219543121254884,
      0.46755424668180057,
      0.34832402805898116,
      0.2847209440251958,
      0.37634210687772257,
      0.5712415894635663,
      0.6121438943084443,
      0.40762403370281,
      0.2137510736635445,
      0.49576669802445905,
      0.5016974109370526,
      0.5726614585463619,
      0.37899300584890994,
      0.30946050963229577,
      0.5021064256206799,
      0.5569143932267169,
      0.5542557977831404,
      0.25097140987361444,
      0.47572497852672907,
      0.5090596752423412,
      0.6299235142541617,
      0.24729027772097018,
      0.38083357192523215,
      0.6270604114687718,
      0.39392204180130064,
      0.21763671315800234,
      0.5055830504315105,
      0.6012924864002618,
      0.39126344635772425,
      0.39084643857747603,
      0.5740812695556147,
      0.5779668295875171,
      0.25117078058856007,
      0.5389067261089184,
      0.6661076913638315,
      0.42049939671567926,
      0.2740751344608274,
      0.4914619930877932,
      0.4914619930877932,
      0.2791877134501728,
      0.3070001431522117,
      0.5112987995664533,
      0.43522362420499394,
      0.37121413525838975,
      0.6354322174277593,
      0.482872860385693,
      0.34033415816274365,
      0.5405427513855089,
      0.4681486328963783,
      0.35444487617333686,
      0.5202969385877012,
      0.3683510910243563,
      0.35730061349693254,
      0.485316973415133,
      0.3793865030674847,
      0.4317382413087935,
      0.5650715746421269,
      0.3658895705521473,
      0.4002453987730062,
      0.5693660531697342,
      0.36527607361963194,
      0.40617586912065445,
      0.32314928425357875,
      0.30678936605316975,
      0.5415541922290389,
      0.53439672801636,
      0.38920245398773007,
      0.547075664621677,
      0.4303067484662577,
      0.42314928425357873,
      0.4990184049079755,
      0.40862985685071584,
      0.523558282208589,
      0.39206543967280166,
      0.450756646216769,
      0.4574957567329912,
      0.39737428682440035,
      0.5413386229320464,
      0.4004417087585121,
      0.4628126214187849,
      0.3949203492771109,
      0.5208891433713012,
      0.4096439745608474,
      0.4057585734443059,
      0.4429766262448621,
      0.48285311138831516,
      0.4339788552381342,
      0.34502361914889274,
      0.4675160017177563,
      0.3609742132062739,
      0.5435880656837283,
      0.3763113228768328,
      0.46976544446943824,
      0.5049385493139199,
      0.2887875503568434,
      0.5362262530418601,
      0.36363264554917074,
      0.5932803010163391,
      0.3728272872275163,
      0.45360107971044134,
      0.397366160893215,
      0.46893787575150303,
      0.4300846591141467,
      0.4192466565784631,
      0.5427589873624801,
      0.5284446443908225,
      0.5685248047114638,
      0.4936812400310826,
      0.4341744713917632,
      0.5495071776205472,
      0.48120731258435234,
      0.3127070467465543,
      0.4266083186781727,
      0.3243630117377612,
      0.49163633389227435,
      0.4705738006625496,
      0.4693468569792647,
      0.4165882785980124,
      0.352378225839434,
      0.5198560386078279,
      0.4180197128951781,
      0.40103879107621215,
      0.4274175408461649,
      0.4419360775412552,
      0.5227082183097151,
      0.47976606752142004,
      0.5302742163057482,
      0.5102345459378771,
      0.4574770463979716,
      0.3251743246835572,
      0.44254953683823084,
      0.43130278306034403,
      0.4362104574361491,
      0.5237306504713413,
      0.5124838966934544,
      0.378136310655788,
      0.44254953683823084,
      0.4771077439011922,
      0.46422509866470363,
      0.4484796433756621,
      0.4378463488947509,
      0.47731223033351744,
      0.5241396233359917,
      0.41616227711434645,
      0.46360215933256993,
      0.39264681825617537,
      0.4873221004416816,
      0.416980206118109,
      0.39673646327498774,
      0.4049157533126125,
      0.46769180435138236,
      0.46401112383445114,
      0.5073613610338622,
      0.43783739571405206,
      0.4983641419924751,
      0.43926877147063637,
      0.4910027809586128,
      0.4809831506625225,
      0.3721985931621135,
      0.4372239489612302,
      0.38405856371666935,
      0.3658596433829544,
      0.35420415507933917,
      0.415344348110584,
      0.36197448061508264,
      0.4820055619172256,
      0.3828238421429302,
      0.36810142112258465,
      0.37423576321439533,
      0.40920151313771597,
      0.5359779163684696,
      0.4637971577548308,
      0.5535630303649934,
      0.5091912892342296,
      0.5245271444637563,
      0.5261629690215724,
      0.5774869645230549,
      0.5386361312749208,
      0.4909927410285247,
      0.3272058071771803,
      0.5044882936305082,
      0.3846641447704734,
      0.34888048256824455,
      0.2760862897454248,
      0.36462529393722526,
      0.2521623555873633,
      0.47995092526326555,
      0.4609344647786525,
      0.3122789080871077,
      0.4457939721097617,
      0.4500879237721343,
      0.5819735819735821,
      0.48812006706743555,
      0.39447102604997347,
      0.3122725227988386,
      0.24091113564797775,
      0.38792786161207216,
      0.08121702858544963,
      0.32576779945201,
      0.31983805668016196,
      0.44497607655502397,
      0.2910072383756594,
      0.5488488120067068,
      0.48934691039954203,
      0.4541774015458227,
      0.3312885944464892,
      0.20635504846031164,
      0.14378603852288063,
      0.49261849261849266,
      0.4447716026663396,
      0.5118390381548277,
      0.5136793031529875,
      0.40386856687181805,
      0.2967264399779173,
      0.27423477211851066,
      0.3198315169607623,
      0.2484715889340994,
      0.3979389453452472,
      0.4983335718813259,
      0.4840206923344307,
      0.6316478213752633,
      0.30245159179667536,
      0.15605128100271945,
      0.16157196311366473,
      0.2834359089700861,
      0.4723659189891018,
      0.4607111456437729,
      0.33741591183266206,
      0.3830126566749137,
      0.2711677265013189,
      0.3674729588811418,
      0.3177868198826344,
      0.4288138712249781,
      0.4676631157094078,
      0.24315537653096694,
      0.13969084812300644,
      0.4191952236852867,
      0.37073689375971214,
      0.5032305553283717,
      0.5105913143044083,
      0.28976854502330907,
      0.40978980943812876,
      0.3333197022981926,
      0.5101823832501841,
      0.5003680379488018,
      0.23803876666394044,
      0.17669910853030177,
      0.3476322891960416,
      0.5997382841252965,
      0.4840107957798315,
      0.2511245603991167,
      0.33025271939151063,
      0.454567759875685,
      0.4762411057495706,
      0.3740083421935062,
      0.3660341866361332,
      0.5668193342602438,
      0.6111883536435757,
      0.3333128871986752,
      0.24478112412848352,
      0.3613240916804678,
      0.6111758572041956,
      0.4347257151035597,
      0.22801529370872436,
      0.4175509619906357,
      0.5050604183279152,
      0.4498558547506594,
      0.2382383610378458,
      0.47091537344864953,
      0.5062871864074097
    ],
    "normal_depth": [
      0.7481208847974349,
      0.7735694702719017,
      0.6222560684963846,
      0.8584151995026984,
      0.6599589013112176,
      0.6897209791162421,
      0.5676185983514932,
      0.6316262400150489,
      0.7531639205134806,
      0.8622667748947859,
      0.8065595185529951,
      0.7835565485204783,
      0.5546954252371464,
      0.6392603623447455,
      0.5972652559935395,
      0.6932428723991484,
      0.6995119918210804,
      0.6588523182088548,
      0.8274653398459254,
      0.5246453686135589,
      0.6276558373233877,
      0.777473038603523,
      0.5154976125579338,
      0.7826846840137731,
      0.4751126288287611,
      0.8498687984840209,
      0.7565321969169851,
      0.6697756872307494,
      0.585556843505208,
      0.6754838172938998,
      0.6258741373352571,
      0.8115266952239493,
      0.8133343899681784,
      0.8395405047706135,
      0.7130131981582993,
      0.6827887604775267,
      0.5256142280695513,
      0.5233941130547605,
      0.7998736351229354,
      0.8661365229123342,
      0.5316709912696607,
      0.7861944045916496,
      0.6444065295128921,
      0.6316428792415347,
      0.8155996746591219,
      0.6987423426572651,
      0.6547636986244576,
      0.8748733630005402,
      0.68394554081355,
      0.603549403855341,
      0.6611169565477868,
      0.5750431422971474,
      0.82334919395701,
      0.6558978995515647,
      0.723899791743768,
      0.654780337510447,
      0.6766635458868268,
      0.7727581435524042,
      0.49845939980211473,
      0.7827179621262482,
      0.818343012146841,
      0.661508866941359,
      0.6433212563708433,
      0.503697873576822,
      0.6995452699335556,
      0.5215126090795553,
      0.6667809355480151,
      0.6886058288774404,
      0.6021690820660396,
      0.6360130931957217,
      0.7654741653799785,
      0.6675368864773711,
      0.9057231036014854,
      0.7875248275105112,
      0.5983397696959261,
      0.7814119157549888,
      0.6216075593678747,
      0.6975976113430168,
      0.5164890903984992,
      0.7436070487328894,
      0.5481885709319564,
      0.5987037832888176,
      0.7086593023566792,
      0.5673507791302789,
      0.44326297003331083,
      0.7667714795108387,
      0.6426041156399034,
      0.5997467997584917,
      0.7749296059621378,
      0.5740645548769627,
      0.7007427685806639,
      0.644072336986921,
      0.6843647776964692,
      0.8926671010600883,
      0.7654908039254846,
      0.7469356820215877,
      0.6932927890571298,
      0.6551693260927058,
      0.7578654614318111,
      0.6270025791427188,
      0.5761061835717292,
      0.6694631211091185,
      0.6933094272621672,
      0.7386561482549465,
      0.767643023441827,
      0.7251498604025116,
      0.49512097180356646,
      0.5723975449029971,
      0.8676360748056341,
      0.8061775155842338,
      0.5856233983682269,
      0.7247440607429197,
      0.5426732260029129,
      0.4793685830137139,
      0.8556340153444242,
      0.5247119234765776,
      0.6952633397731592,
      0.632779005256081,
      0.5633656009018039,
      0.513684309706957,
      0.7316703505269462,
      0.6152333888753289,
      0.5108892850129022,
      0.5703983960288862,
      0.7259787056676101,
      0.6679650402773646,
      0.6905984518307177,
      0.5218785732812187,
      0.6411718167614648,
      0.694107066782269,
      0.7941756937957222,
      0.8972017768587678,
      0.5849565284916124,
      0.5963085448051951,
      0.622713669424839,
      0.6713771340845618,
      0.6415379629202378,
      0.6581875569134752,
      0.5693923735954632,
      0.6433711709859694,
      0.7642454183680988,
      0.8261686022297929,
      0.5244114022463532,
      0.6563206764472868,
      0.6043319762767595,
      0.7499093699309324,
      0.701186683616959,
      0.8284864264403263,
      0.7436569623266506,
      0.6507622537722615,
      0.7566320271687278,
      0.622372538315124,
      0.5758016101331188,
      0.5482384845257174,
      0.5401161813893471,
      0.5040736247771403,
      0.8179544790550832,
      0.5670664547281934,
      0.7638362818022646,
      0.46247834852575415,
      0.5928684100067966,
      0.530794846720092,
      0.8857639972943597,
      0.5365679120334685,
      0.637171691110972,
      0.4384486283705939,
      0.678644448303063,
      0.5897864674786442,
      0.6328289178285191,
      0.5505439820809276,
      0.6698921546662063,
      0.6541193379099371,
      0.6238211955256399,
      0.72967698725646,
      0.5637482469408679,
      0.652633000303751,
      0.5561296156107884,
      0.6360962825187035,
      0.5587714854064563,
      0.6092611998933549,
      0.7689769823321476,
      0.6043486134604737,
      0.49455934647033717,
      0.6752184935024297,
      0.5253965256144926,
      0.4915085370941158,
      0.5748055422898608,
      0.46014769550815715,
      0.6331913106504233,
      0.58192110879954,
      0.5904906578561042,
      0.7103350881970135,
      0.7047745884810309,
      0.6627355479482946,
      0.5420914213766067,
      0.6467313086902234,
      0.4900040511062238,
      0.7495243176838406,
      0.6361129193620046,
      0.5317874563219328,
      0.503797699743105,
      0.45753170536211146,
      0.6382984795732767,
      0.5395031627497576,
      0.6832906361456544,
      0.6559977257178478,
      0.4942703867523504,
      0.7171386485583425,
      0.6277889416021456,
      0.5282754123917394,
      0.5541704680029317,
      0.6710472162454102,
      0.7317368999426854,
      0.7955688872102394,
      0.5748388156360636,
      0.6107035382504475,
      0.705187144922148,
      0.6114089875060881,
      0.6177857253559758,
      0.7099532826078303,
      0.513767495625598,
      0.660125281659874,
      0.6497017247053887,
      0.6548968001796316,
      0.5473094238400749,
      0.6638806031377139,
      0.5541871045058335,
      0.7043954977356256,
      0.7091569836889839,
      0.5162749396327502,
      0.5829759939914687,
      0.5607918094997484,
      0.4725805381582681,
      0.5028874439150824,
      0.49459261981653996,
      0.6128383609904635,
      0.48398113041504465,
      0.4988997116805231,
      0.5857232204493843,
      0.7596573052681754,
      0.681783361247069,
      0.5032129268018073,
      0.5283086850571576,
      0.5751928800148378,
      0.32998349099638447,
      0.5235438507724508,
      0.6405232029257202,
      0.4815712271658996,
      0.46696441235516706,
      0.5411531313012086,
      0.587434507777718,
      0.6427205759260982,
      0.7067893914955831,
      0.621009582598135,
      0.4705174036369381,
      0.5819710183082593,
      0.41130361989835607,
      0.3334858687747643,
      0.5532342817408834,
      0.6973384168271376,
      0.4402452860087028,
      0.7626434781350484,
      0.7973743934646129,
      0.8528961498354785,
      0.9426803936217371,
      0.9337144125624715,
      1.0767110739809018,
      1.4145025686060357,
      1.672064897907149,
      1.4764962304785032,
      1.2683438361406363,
      1.356902514442586,
      1.6095070843506498,
      1.3820002094065233,
      1.4317380392968966,
      1.1125081160663512,
      1.1053510654788372,
      1.1665456520629836,
      1.3747500431262782,
      1.007798536197411,
      1.2464765738424404,
      0.8567207808550823,
      0.6135789224930026,
      0.806310608969324,
      0.9879506207682147,
      1.0032317279694123,
      0.7001050695833475,
      0.8318188864678905,
      0.6953964331582496,
      0.4967849252278776,
      0.817144889998763,
      0.41050964445166965,
      0.5847314454843753,
      0.46257816652212064,
      0.6516032082350779,
      0.7100031900742797,
      0.5476855240982568,
      0.9713017843851989,
      0.5525941844827874,
      0.6542025187225894,
      0.809455722758263,
      0.658304012433983,
      1.0193881077388876,
      1.4993251461136143,
      2.111472151228645,
      1.829446519962441,
      1.1034432973167136,
      0.9555422358102191,
      0.9773834835002256,
      0.8076736606480122,
      0.9919015314553149,
      0.6887888341545183,
      0.5379728540884782,
      0.6501382453699213,
      0.5558998005711753,
      0.6047983458295959,
      0.8208052720448585,
      0.6954130682996936,
      0.4906953379119906,
      0.562850270695819,
      0.2712967577980497,
      0.31079159806055573,
      0.5154002843568181,
      0.6332911266045197,
      0.5943658090625649,
      0.7652307266544943,
      1.1506718767048958,
      1.6071520759808537,
      1.7314521866868762,
      1.1283955764559426,
      1.3622656652667324,
      2.010822438812437,
      1.0830388114020686,
      1.0944625192112745,
      1.2843812947911724,
      0.7978679616713134,
      0.8472672933034354,
      0.5506604328361383,
      0.6157377620349703,
      0.5236103920189422,
      0.3500140397871328,
      0.4626114364646792,
      0.4876759720196825,
      0.5572357619006696,
      0.8463246769666506,
      1.0130358887548767,
      1.0095739160495316,
      0.9321922982388233,
      0.6899705368739063,
      0.8063605133726814,
      0.6442719729804061,
      0.24527713038358367,
      0.5779805343872452,
      0.4050659750824717,
      0.7903750556357719,
      0.676879820425818,
      0.8610761061842068,
      1.3464456016415514,
      1.266828775136037,
      1.2941435604356388,
      0.8524879417880337,
      0.9604388855907264,
      0.8300199934375111,
      0.9003829743524824,
      0.7172550969310509,
      0.7725441377400054,
      0.7273648999369509,
      1.0004300451018298,
      0.6129215366977536,
      0.43093208573558767,
      0.6369572352625481,
      0.7076665334421601,
      0.49532060371251113,
      0.49715798192969246,
      0.9311792396122291,
      0.8805086762307077,
      0.813583937513656,
      1.2177931758327396,
      1.6852586552314224,
      1.4386238170148842,
      0.8397900523160908,
      1.1548415360433169,
      1.126432198144482,
      1.135119968716966,
      0.6468643911834289,
      0.7237275074108439,
      0.6565036704916489,
      0.47269698414857186,
      0.5182770561366674,
      0.528089969099915,
      0.45883379209815295,
      0.550693701417434,
      0.8879108705922008,
      1.0113363284618633,
      2.2011196416080843,
      1.3930979408724715,
      0.8844647593887731,
      0.9120777986960145,
      0.7229343604637818,
      0.8421462767104327,
      0.5357858738220194,
      0.7205098459120444,
      0.5058043765397939,
      0.5312974897985695,
      0.9680957096428108,
      1.174364606777383,
      1.3986531942811735,
      0.9556087729728387,
      1.2200442181667501,
      0.8722168209741996,
      0.428425910669387,
      0.5773368388311074,
      0.43863161867102396,
      0.40537304194224116,
      0.6572665421739506,
      0.8370080345458815,
      1.4386404507950936,
      1.016562567056757,
      0.7501089936712977,
      0.9841350957526249,
      0.5619368720339623,
      0.4938258876945417,
      0.40129234033849004,
      0.5569722653230822,
      0.817244695742762,
      1.3605572587325945,
      1.7850029500061788,
      0.6165140576240121,
      1.1074131902390467,
      0.3896597991466285,
      0.6591517722009627,
      1.0431399813795834,
      0.9433273370918576,
      0.9697553033528928,
      0.7917451403498056,
      0.8568205865990813,
      0.4685760161243606,
      1.0027604156446632,
      1.4614178712131778,
      0.9218556629436054,
      0.6554188634268323,
      0.5095643355448934,
      0.5579793977059797,
      0.6218737298016764,
      0.8746849601515884,
      1.195106748956201,
      0.8732231617815105,
      0.4656382794267981,
      0.7864938524569468,
      0.6010573263247107,
      0.45509055750454086,
      1.2351325484056623,
      1.16111047479633,
      0.32144269589136487,
      0.35832548216827353,
      0.5374281581048975,
      1.2543520487075734,
      0.827321189895338,
      0.6355686856333541,
      0.320702099464313,
      1.0212547820887725,
      0.4412364538753523,
      0.6070008162351337,
      0.8756609544604034,
      0.7026027243604095,
      0.5067843488739155,
      0.5077154870003113,
      0.6576898174087642,
      1.0706310481622447,
      0.8473670949639801,
      0.6326829388661418,
      0.3950828551311074,
      0.5927564292778802,
      0.8974513039823789,
      0.9914547617151619,
      0.6689715740295754,
      0.46624492800273204,
      0.417562293174953,
      0.512074953116899,
      0.9151975509785547,
      1.020687584306103,
      0.6334075630661788,
      0.6154829159989399,
      0.43299587309111104,
      0.5368008016329384,
      1.3748997502111693,
      0.676979620044761,
      0.48688381201555386,
      0.6130213363166965,
      0.5534006212449714,
      1.1152927182129608,
      0.5102203801358953,
      0.45891695759659884,
      0.6712634642370615,
      1.1055174049829253,
      0.609846122124397,
      0.40434493057505383,
      0.5345674799235389,
      0.6201220779860377,
      0.5770651000610242,
      0.8830517599878336,
      0.4461494290213974,
      0.35372010212845983,
      0.32469303009114,
      0.7489045582390567,
      0.7543540346838941,
      0.5419836861145606,
      0.3942887378958882,
      0.4203633292501633,
      0.6716599257063486,
      0.9513932180022714,
      0.5365122626832728,
      0.2353350083634538,
      0.4198223172766646,
      0.6334408275643547,
      1.1723352706566532,
      0.5646636395459705,
      0.5517764149718866,
      0.6025017883029526,
      0.9540772527925834,
      0.562999971655654,
      0.8223255988746431,
      0.6258642914106397,
      0.4504961424863686,
      0.36773282155327747,
      0.741435553518193,
      0.9131829595622267,
      0.4923673008228896,
      0.46274450262339967,
      0.4739876149222239,
      0.6077528124579126,
      0.9312790371896539,
      0.5540911486673818,
      0.5234434248966434,
      0.5177644425922748,
      1.1851100212703487,
      0.48419736955903114,
      0.3777449948381304,
      0.9020276588994827,
      0.6678862244530586,
      0.3862586595421886,
      0.7726772011767018,
      0.9535563683082745,
      0.516507814939253,
      0.3716803957521398,
      0.6060153321968721,
      1.046228620251023,
      0.6025184200417272,
      0.5202835392119701,
      0.4728134134647711,
      0.8588144551578578,
      0.6370902986992443,
      0.42263100162171785,
      0.5593684721485404,
      0.5760843959695389,
      0.5818636366129287,
      0.7497904608918294,
      0.7791720691150383,
      0.5093362850197463,
      0.45459172606229786,
      0.7539834402797275,
      0.5717217194815494,
      0.5019027355060739,
      0.6503212094671148,
      0.7427116468170942,
      0.6663916561581158,
      0.45459172606229786,
      0.6070839766300973,
      0.7336413688329975,
      0.7414688166555516,
      0.5764388761954571,
      0.6755012735537196,
      0.9323586275349023,
      0.47970127563744164,
      0.7477020517685824,
      0.5966245995643404,
      0.6046313935117635,
      0.5987057390701976,
      0.596987717507885,
      0.6320421185602031,
      0.5143466413465504,
      0.5890556371686163,
      0.70466163549912,
      0.5761176584265304,
      0.5584096239024068,
      0.531430547791551,
      0.5959486994838329,
      0.6209021009378812,
      0.696787268697915,
      0.5677167410174517,
      0.6686761413114313,
      0.6001127616456645,
      0.5667144389292638,
      0.4689884689185793,
      0.5043896730705519,
      0.696787268697915,
      0.5508433931906249,
      0.6169855945384906,
      0.6667858239094959,
      0.717823410651707,
      0.4945531610187466,
      0.8078898865218584,
      0.5617380087959105,
      0.68320463051444,
      0.6396928716081449,
      0.49978061853458833,
      0.5159301218213332,
      0.5528270454980775,
      0.652206890965669,
      0.6198487212884618,
      0.6778279763799842,
      0.5485711635373742,
      0.44738502155710225,
      0.6812803129573778,
      0.7070555238148061,
      0.6897815864564485,
      0.8110402227411698,
      0.675916326557299,
      0.7050739934656722,
      0.5488977493798365,
      0.704678266217365,
      0.5551279345005458,
      0.7365496678665031,
      0.6364289547247424,
      0.6566866233611811,
      0.6999611314625759,
      0.6255884142594841,
      0.6725032724908591,
      0.7003545609767341,
      0.6085386734899347,
      0.7561379584504571,
      0.4851694514652888,
      0.6824509872833514,
      0.6284651225884559,
      0.5404654907791002,
      0.5866900659407541,
      0.6574328612632736,
      0.7194666133908317,
      0.8292967557216877,
      0.6245122671561117,
      0.6585535038273695,
      0.6408059656230396,
      0.5112552319267967,
      0.683606671508392,
      0.8399730051856229,
      0.6095938720993938,
      0.6466955049854882,
      0.6706207547484263,
      0.696837159832218,
      0.6444881900083967,
      0.6867131808529815,
      0.6913701280679081,
      0.6995845222603695,
      0.7027357741886542,
      0.6991914731102364,
      0.5081591533128496,
      0.641188412359054,
      0.658570133865331,
      0.5499115551103453,
      0.49033671650692295,
      0.5369338514611831,
      0.5032034728128799,
      0.8056803564139067,
      0.601555425921207,
      0.8119758256769205,
      0.6626924215222522,
      0.7102693115056278,
      0.9036252490638931,
      0.8536539320358568,
      0.7659232866448012,
      0.6679860077421939,
      0.4979875777574223,
      0.6206117951697281,
      0.5637814454160832,
      0.4399731129440655,
      0.5330972202029188,
      0.37969954001189105,
      0.6001792824778083,
      0.7549077889771989,
      0.7870978569320946,
      0.9644745757069194,
      0.7684866581280443,
      0.6220400420871914,
      0.5069340284000011,
      0.4376908835008976,
      0.39307232945180687,
      0.505074944987305,
      0.5334176287506464,
      0.726784320463443,
      1.0115525410671977,
      0.7390719927692257,
      0.6131543834235852,
      0.4023097319885051,
      0.4792012480941072,
      0.5094360662680314,
      0.5647966839316142,
      0.7353827835100105,
      0.9716011648721218,
      1.114787038181198,
      0.6902366474182704,
      0.5395461334102112,
      0.4213501895355758,
      0.7071220432864387,
      0.8048182285702261,
      1.1859411221596332,
      0.8966151460137244,
      0.5782300104708105,
      0.6317635208413478,
      0.3749553029612747,
      0.3345709968765782,
      0.5188246021176935,
      0.6586033929209058,
      1.0839353792634707,
      0.7146962091790514,
      0.5860558722402399,
      0.46583785008768763,
      0.4269701813741079,
      0.5356972892050565,
      1.2165564450451747,
      0.7915210447759274,
      0.5188412311353344,
      0.45558128037287665,
      0.5912172062418836,
      1.012740608273312,
      0.8423791139109328,
      0.5588399721924338,
      0.3613728630353351,
      0.4879587115816876,
      0.7486531821171041,
      1.0890133427753512,
      0.668397505302436,
      0.5286579658656538,
      0.6181516423269885,
      0.8575140462053883,
      1.021454352749662,
      0.7946081588207935,
      0.4552901281654304,
      0.3990600171878753,
      0.7296847665171526,
      1.2545682480460247,
      0.5705120105993736,
      0.5608428426224087,
      0.4532716053076963,
      0.7889008726526483,
      0.9537060386503463,
      0.5601802227820971,
      0.4759434432797689,
      0.4798343145809294,
      1.124043705954018,
      0.6040650510590897,
      0.5489975265466717,
      0.3757801050883756,
      1.1360582191624982,
      0.7849616353362008,
      0.3794842019063785,
      0.7574865006718162,
      1.239920165863489,
      0.5545696501544082,
      0.4136030511459394,
      0.7629927517989615,
      0.7638598150649913,
      0.451258163279625,
      0.4457733856890407,
      1.1233980382859738,
      0.5026692761654415,
      0.33036602881993904,
      0.7043991369758287,
      1.0524394067802783,
      0.5776029330466657,
      0.5776029330466657,
      1.037411612252195,
      0.9601964333595971,
      0.5454289050093274,
      0.6764147026427368,
      0.8057635015021805,
      0.3687004215995835,
      0.5919388899859399,
      0.8763822189631053,
      0.5002045857027783,
      0.6171186307610673,
      0.8433500953535863,
      0.5312439312360804,
      0.8120589707651944,
      0.8368252499269988,
      0.5878336735987179,
      0.7880570921632124,
      0.68295243599885,
      0.4641202521325364,
      0.8175107845158303,
      0.744538009558747,
      0.4579641438485297,
      0.818875276799542,
      0.7325786104773315,
      0.9185118610106253,
      0.9607548757044361,
      0.4986845674382685,
      0.5095025802981757,
      0.7672871056180334,
      0.4904364895926418,
      0.6856528727588251,
      0.6992912461959555,
      0.5651963404095898,
      0.7276808900506605,
      0.5261631316082415,
      0.7613278020841675,
      0.6479011866984826,
      0.6358347689641553,
      0.750391710101774,
      0.4990082921122239,
      0.7441393024974922,
      0.6264396685313554,
      0.7554284850000726,
      0.5303189818528529,
      0.725665475962077,
      0.7334144007680453,
      0.6620577592514681,
      0.5919721456407931,
      0.6787435576796834,
      0.8652549977360267,
      0.6182181549969,
      0.8285080079650495,
      0.4956365873631319,
      0.794674671490705,
      0.6143153206190299,
      0.5556068262432656,
      1.0099231682814482,
      0.5067236568771425,
      0.8225417849478392,
      0.42451040111196214,
      0.8022377377225034,
      0.6427863552578402,
      0.7504083374191584,
      0.6157489938876962,
      0.6860726375859528,
      0.7068251197133516,
      0.49687767204774363,
      0.5186096671046725,
      0.4591664030661581,
      0.5739395582798614,
      0.6783771347421637,
      0.4868306182732793,
      0.5947483234129803,
      0.9452202674758677,
      0.6926715724252491,
      0.9154636288673109,
      0.5773145455305834,
      0.6129173672716091,
      0.6150401622143098,
      0.7119972807622174,
      0.8481048911238115,
      0.5319332454783335,
      0.7092081834386664,
      0.742927824047691,
      0.6911306838204598,
      0.663969973482635,
      0.5274843776862875,
      0.5971872636800742,
      0.5157994256846085,
      0.547123114507685,
      0.6358680232589146,
      0.9134323999301821,
      0.6628420765601386,
      0.6837729565842398,
      0.6745731515462706,
      0.5258954828963792,
      0.5435464668517048,
      0.7907409277016489,
      0.6628420765601386,
      0.6017050809590933,
      0.6239619112891759,
      0.6520189847043123,
      0.6715295366839956,
      0.6013566639502709,
      0.5252607933309023,
      0.7128291797226328,
      0.6250537363391203,
      0.7601229796787219,
      0.5844812016186045,
      0.711232672708549,
      0.7516978627382891,
      0.7351050869407659,
      0.6179124576835296,
      0.6243367794449057,
      0.5517147112786049,
      0.671546163321375,
      0.5662630960942107,
      0.6688923141209998,
      0.5783630330905014,
      0.5951271802807153,
      0.8036100168817614,
      0.6726861842040861,
      0.7781050899582458,
      0.8175772931053769,
      0.8439025000098433,
      0.7144288276142353,
      0.8262580040096056,
      0.5934006311097767,
      0.7807233634018017,
      0.8126102807045865,
      0.7991717736031384,
      0.726544190592129,
      0.5071003066748232,
      0.6247118051667363,
      0.48085124943351926,
      0.5487873319260953,
      0.524659851739302,
      0.5221280086192005,
      0.4464487544031082,
      0.5030776513285753,
      0.5783796593878989,
      0.9083684649021471,
      0.5563321948337423,
      0.7768240076846337,
      0.8562161381335256,
      1.0464946818149805,
      0.8203251976211067,
      1.1201943889681456,
      0.596874029729714,
      0.6297460555730111,
      0.9463342762678801,
      0.6569027873292353,
      0.6491083623792872,
      0.44015601717631736,
      0.5831508768960578,
      0.7563541224185113,
      0.9463509022253099,
      1.1573083850142527,
      0.7699542849550272,
      2.0413954419159817,
      0.9119497645261936,
      0.9268864752195903,
      0.6583959486359068,
      1.0036973833308531,
      0.4878053799185531,
      0.5811097894857561,
      0.6417539276434134,
      0.8982855850238923,
      1.2832007045550455,
      1.5769511373188638,
      0.5756918066802112,
      0.6587696677954237,
      0.544570235860396,
      0.541652057966582,
      0.7372106385607087,
      0.9878724131600742,
      1.0519659464139266,
      0.9269031008370658,
      1.1321832665736067,
      0.7492371351956726,
      0.5663129739665134,
      0.5900083704021079,
      0.37355742252432306,
      0.9723335691770462,
      1.5103920696759578,
      1.4821238428951118,
      1.025132438325736,
      0.6098266616849235,
      0.630140091979255,
      0.8833843369444496,
      0.7803224286252529,
      1.0611109115353978,
      0.8139996799687179,
      0.9321179773648278,
      0.6884786944536556,
      0.6179623355558324,
      1.1497688961275865,
      1.6004453568112322,
      0.7069248764779442,
      0.8068095152257762,
      0.5583618651187578,
      0.5465547734155305,
      1.0071657925293747,
      0.7253760603844621,
      0.893315738906668,
      0.5472062442949028,
      0.5630002163224691,
      1.1670611938012234,
      1.409353195922376,
      0.8591303935742562,
      0.41570744978253105,
      0.5900249956796436,
      1.1235476780228042,
      0.9008319762055771,
      0.6410553804861051,
      0.6031833736847778,
      0.7996660406732581,
      0.8171894738647579,
      0.46160922250260994,
      0.4003302379330993,
      0.8933323638442775,
      1.1443505619848748,
      0.8277202822457258,
      0.40034686287070875,
      0.6773454472165223,
      1.202041472501547,
      0.7101204743283885,
      0.5554106046793172,
      0.6495277119134747,
      1.1663796983550456,
      0.6123273804461556,
      0.5534380157422963
    ],
    "published_normal_depth": [
      0.7483,
      0.7737,
      0.6223,
      0.8589,
      0.66,
      0.69,
      0.5677,
      0.6317,
      0.7534,
      0.8626,
      0.8069,
      0.7837,
      0.5548,
      0.6396,
      0.5974,
      0.6935,
      0.6996,
      0.6589,
      0.8279,
      0.5249,
      0.6278,
      0.7777,
      0.5157,
      0.7831,
      0.4752,
      0.8503,
      0.7567,
      0.6699,
      0.5857,
      0.6758,
      0.6262,
      0.8117,
      0.8138,
      0.84,
      0.7131,
      0.683,
      0.5259,
      0.5235,
      0.8,
      0.8663,
      0.5318,
      0.7864,
      0.6447,
      0.6317,
      0.8159,
      0.699,
      0.6548,
      0.8753,
      0.6841,
      0.6038,
      0.6612,
      0.5753,
      0.8236,
      0.6561,
      0.7242,
      0.6549,
      0.677,
      0.7731,
      0.4988,
      0.7831,
      0.8187,
      0.6618,
      0.6435,
      0.5038,
      0.6997,
      0.5215,
      0.667,
      0.6888,
      0.6022,
      0.6362,
      0.7659,
      0.6676,
      0.9059,
      0.7878,
      0.5985,
      0.7818,
      0.6218,
      0.6979,
      0.5167,
      0.7438,
      0.5482,
      0.599,
      0.7088,
      0.5676,
      0.4433,
      0.7672,
      0.643,
      0.6001,
      0.7751,
      0.5743,
      0.7009,
      0.6441,
      0.6847,
      0.8928,
      0.7659,
      0.747,
      0.6937,
      0.6555,
      0.758,
      0.6273,
      0.5764,
      0.6697,
      0.6937,
      0.7387,
      0.7678,
      0.7255,
      0.4953,
      0.5727,
      0.8679,
      0.8062,
      0.5858,
      0.7249,
      0.5428,
      0.4794,
      0.856,
      0.525,
      0.6955,
      0.6329,
      0.5635,
      0.5138,
      0.7318,
      0.6153,
      0.511,
      0.5707,
      0.7262,
      0.6682,
      0.6907,
      0.5221,
      0.6413,
      0.6943,
      0.7946,
      0.8974,
      0.5853,
      0.5964,
      0.623,
      0.6718,
      0.6419,
      0.6584,
      0.5697,
      0.6436,
      0.7646,
      0.8265,
      0.5245,
      0.6567,
      0.6046,
      0.7503,
      0.7015,
      0.8287,
      0.7439,
      0.651,
      0.7568,
      0.6224,
      0.5759,
      0.5483,
      0.5403,
      0.5043,
      0.8181,
      0.5671,
      0.7639,
      0.4625,
      0.5932,
      0.5309,
      0.886,
      0.5368,
      0.6374,
      0.4385,
      0.6788,
      0.5901,
      0.633,
      0.5508,
      0.67,
      0.6544,
      0.6241,
      0.73,
      0.564,
      0.6527,
      0.5564,
      0.6363,
      0.5589,
      0.6093,
      0.7692,
      0.6045,
      0.4948,
      0.6753,
      0.5255,
      0.4916,
      0.5749,
      0.4603,
      0.6335,
      0.5822,
      0.5906,
      0.7107,
      0.705,
      0.6631,
      0.5423,
      0.647,
      0.4902,
      0.7497,
      0.6363,
      0.5319,
      0.5039,
      0.4576,
      0.6386,
      0.5398,
      0.6836,
      0.6562,
      0.4944,
      0.7175,
      0.628,
      0.5285,
      0.5544,
      0.6712,
      0.7319,
      0.796,
      0.5749,
      0.611,
      0.7052,
      0.6115,
      0.6181,
      0.7101,
      0.5139,
      0.6602,
      0.6499,
      0.655,
      0.5473,
      0.6643,
      0.5544,
      0.7046,
      0.7095,
      0.5163,
      0.5833,
      0.561,
      0.4726,
      0.5029,
      0.4949,
      0.6132,
      0.4841,
      0.4991,
      0.5859,
      0.7601,
      0.6818,
      0.5034,
      0.5285,
      0.5754,
      0.3302,
      0.5236,
      0.6409,
      0.4818,
      0.4671,
      0.5414,
      0.5875,
      0.6431,
      0.7071,
      0.6214,
      0.4708,
      0.5822,
      0.4114,
      0.3337,
      0.5534,
      0.6974,
      0.4403,
      0.7627,
      0.7974,
      0.8532,
      0.9428,
      0.9338,
      1.0773,
      1.4149,
      1.673,
      1.477,
      1.2685,
      1.3572,
      1.6101,
      1.3821,
      1.4326,
      1.1127,
      1.1057,
      1.1668,
      1.3751,
      1.0081,
      1.2469,
      0.8569,
      0.6138,
      0.8064,
      0.9881,
      1.0037,
      0.7004,
      0.8323,
      0.6956,
      0.4968,
      0.8175,
      0.4105,
      0.5849,
      0.4628,
      0.6517,
      0.7102,
      0.5479,
      0.9718,
      0.5529,
      0.6545,
      0.8098,
      0.6585,
      1.0197,
      1.4994,
      2.1117,
      1.8301,
      1.1038,
      0.9559,
      0.9778,
      0.8078,
      0.9924,
      0.689,
      0.5383,
      0.6505,
      0.556,
      0.6051,
      0.821,
      0.6956,
      0.4907,
      0.5631,
      0.2714,
      0.3109,
      0.5154,
      0.6336,
      0.5944,
      0.7654,
      1.1509,
      1.6083,
      1.7321,
      1.129,
      1.3627,
      2.0117,
      1.0832,
      1.0949,
      1.2846,
      0.7982,
      0.8474,
      0.5509,
      0.616,
      0.5237,
      0.3501,
      0.4627,
      0.488,
      0.5575,
      0.8467,
      1.0135,
      1.01,
      0.9323,
      0.6902,
      0.8064,
      0.6443,
      0.2454,
      0.5781,
      0.4051,
      0.7907,
      0.677,
      0.8614,
      1.3465,
      1.2674,
      1.2946,
      0.8526,
      0.961,
      0.8302,
      0.9007,
      0.7176,
      0.7726,
      0.7276,
      1.0009,
      0.6133,
      0.4312,
      0.637,
      0.7078,
      0.4955,
      0.4973,
      0.9315,
      0.8808,
      0.8141,
      1.2179,
      1.6854,
      1.4387,
      0.8403,
      1.1551,
      1.127,
      1.1352,
      0.6472,
      0.7239,
      0.6569,
      0.4727,
      0.5184,
      0.5281,
      0.4591,
      0.551,
      0.8884,
      1.0118,
      2.2025,
      1.3934,
      0.8846,
      0.9124,
      0.7231,
      0.8424,
      0.536,
      0.7208,
      0.5059,
      0.5316,
      0.9686,
      1.1744,
      1.3991,
      0.9559,
      1.2202,
      0.8726,
      0.4286,
      0.5776,
      0.4387,
      0.4056,
      0.6575,
      0.8374,
      1.4396,
      1.0171,
      0.7505,
      0.9847,
      0.5622,
      0.4941,
      0.4014,
      0.5571,
      0.8176,
      1.3611,
      1.7853,
      0.6166,
      1.1078,
      0.3897,
      0.6592,
      1.0435,
      0.9437,
      0.9704,
      0.7921,
      0.857,
      0.4687,
      1.003,
      1.4615,
      0.9219,
      0.6558,
      0.5097,
      0.5581,
      0.6221,
      0.8748,
      1.1953,
      0.8733,
      0.4659,
      0.7867,
      0.6012,
      0.4551,
      1.2353,
      1.1616,
      0.3216,
      0.3585,
      0.5375,
      1.2548,
      0.8275,
      0.636,
      0.3208,
      1.0217,
      0.4414,
      0.6074,
      0.8758,
      0.703,
      0.5069,
      0.5079,
      0.6581,
      1.0708,
      0.8475,
      0.6329,
      0.3951,
      0.5929,
      0.8977,
      0.9917,
      0.6691,
      0.4664,
      0.4178,
      0.5122,
      0.9156,
      1.0208,
      0.6337,
      0.6155,
      0.433,
      0.5369,
      1.3752,
      0.6773,
      0.4871,
      0.6134,
      0.5536,
      1.1155,
      0.5103,
      0.4592,
      0.6714,
      1.1059,
      0.6101,
      0.4044,
      0.5349,
      0.6205,
      0.5772,
      0.8832,
      0.4462,
      0.3538,
      0.3247,
      0.7493,
      0.7544,
      0.5421,
      0.3943,
      0.4205,
      0.6718,
      0.952,
      0.5366,
      0.2355,
      0.4201,
      0.6338,
      1.1728,
      0.5648,
      0.5521,
      0.6026,
      0.9544,
      0.5633,
      0.8227,
      0.626,
      0.4507,
      0.3678,
      0.7416,
      0.9133,
      0.4924,
      0.4628,
      0.4742,
      0.608,
      0.9316,
      0.5541,
      0.5235,
      0.518,
      1.1855,
      0.4844,
      0.3779,
      0.9022,
      0.668,
      0.3865,
      0.7728,
      0.9536,
      0.5166,
      0.3718,
      0.6064,
      1.0464,
      0.6026,
      0.5204,
      0.4731,
      0.8593,
      0.6371,
      0.4227,
      0.5597,
      0.5761,
      0.5819,
      0.7499,
      0.7794,
      0.5094,
      0.4547,
      0.7542,
      0.572,
      0.5022,
      0.6507,
      0.7429,
      0.6665,
      0.4547,
      0.6075,
      0.734,
      0.7416,
      0.5767,
      0.6756,
      0.9324,
      0.4798,
      0.748,
      0.597,
      0.6048,
      0.5989,
      0.5973,
      0.6321,
      0.5147,
      0.5893,
      0.7049,
      0.5762,
      0.5587,
      0.5315,
      0.5962,
      0.6211,
      0.697,
      0.5679,
      0.6689,
      0.6005,
      0.5669,
      0.4692,
      0.5044,
      0.697,
      0.5511,
      0.6173,
      0.6668,
      0.7183,
      0.4947,
      0.808,
      0.5618,
      0.6833,
      0.6398,
      0.4999,
      0.5161,
      0.5532,
      0.6525,
      0.62,
      0.678,
      0.5486,
      0.4476,
      0.6814,
      0.7074,
      0.6898,
      0.8115,
      0.6762,
      0.7052,
      0.5491,
      0.7049,
      0.5552,
      0.7367,
      0.6366,
      0.657,
      0.7001,
      0.6257,
      0.6727,
      0.7007,
      0.6086,
      0.7565,
      0.4854,
      0.6827,
      0.6288,
      0.5406,
      0.5868,
      0.6576,
      0.7197,
      0.8297,
      0.6246,
      0.6588,
      0.6411,
      0.5113,
      0.6839,
      0.8401,
      0.6097,
      0.6468,
      0.671,
      0.6972,
      0.6445,
      0.6869,
      0.6917,
      0.6996,
      0.7031,
      0.6995,
      0.5085,
      0.6416,
      0.6588,
      0.5502,
      0.4905,
      0.537,
      0.5032,
      0.806,
      0.6016,
      0.8121,
      0.6628,
      0.7105,
      0.904,
      0.8541,
      0.7663,
      0.6681,
      0.498,
      0.6207,
      0.5639,
      0.4402,
      0.5333,
      0.3797,
      0.6005,
      0.7552,
      0.7876,
      0.9646,
      0.7689,
      0.6223,
      0.5071,
      0.4377,
      0.3932,
      0.5052,
      0.5338,
      0.7272,
      1.012,
      0.7392,
      0.6135,
      0.4025,
      0.4794,
      0.5095,
      0.5649,
      0.7355,
      0.9721,
      1.1151,
      0.6905,
      0.5397,
      0.4215,
      0.7074,
      0.8051,
      1.1867,
      0.8971,
      0.5784,
      0.6319,
      0.3752,
      0.3348,
      0.5192,
      0.6588,
      1.0844,
      0.7148,
      0.5863,
      0.4661,
      0.4271,
      0.5358,
      1.217,
      0.7917,
      0.5191,
      0.4558,
      0.5915,
      1.0129,
      0.8427,
      0.559,
      0.3615,
      0.4882,
      0.7488,
      1.0894,
      0.6687,
      0.5289,
      0.6185,
      0.858,
      1.0219,
      0.7951,
      0.4553,
      0.3991,
      0.7297,
      1.255,
      0.5706,
      0.5609,
      0.4535,
      0.7892,
      0.9538,
      0.5604,
      0.4761,
      0.4799,
      1.1242,
      0.6042,
      0.5492,
      0.376,
      1.1366,
      0.7852,
      0.3797,
      0.7578,
      1.2405,
      0.5548,
      0.4139,
      0.7631,
      0.7643,
      0.4513,
      0.446,
      1.1239,
      0.5028,
      0.3306,
      0.7047,
      1.053,
      0.5779,
      0.5779,
      1.0376,
      0.9604,
      0.5457,
      0.6767,
      0.806,
      0.3687,
      0.5923,
      0.8766,
      0.5005,
      0.6174,
      0.8434,
      0.5314,
      0.8123,
      0.8373,
      0.5879,
      0.7883,
      0.6833,
      0.4644,
      0.8179,
      0.7446,
      0.4581,
      0.8193,
      0.733,
      0.919,
      0.9613,
      0.4988,
      0.5095,
      0.7677,
      0.4907,
      0.6858,
      0.6996,
      0.5655,
      0.7279,
      0.5265,
      0.7618,
      0.648,
      0.6362,
      0.7508,
      0.4993,
      0.7444,
      0.6268,
      0.7557,
      0.5304,
      0.726,
      0.7336,
      0.6624,
      0.5921,
      0.6791,
      0.8654,
      0.6185,
      0.8286,
      0.4958,
      0.7951,
      0.6147,
      0.5559,
      1.0103,
      0.507,
      0.8228,
      0.4246,
      0.8024,
      0.643,
      0.7508,
      0.6158,
      0.6864,
      0.7069,
      0.4969,
      0.5187,
      0.4594,
      0.5742,
      0.6787,
      0.4869,
      0.595,
      0.9456,
      0.693,
      0.916,
      0.5774,
      0.6131,
      0.6153,
      0.7124,
      0.8485,
      0.5322,
      0.7094,
      0.7433,
      0.6912,
      0.6641,
      0.5277,
      0.5975,
      0.5158,
      0.5473,
      0.6362,
      0.9135,
      0.6632,
      0.6841,
      0.6746,
      0.5262,
      0.5438,
      0.7911,
      0.6632,
      0.6018,
      0.624,
      0.6521,
      0.6717,
      0.6015,
      0.5255,
      0.7131,
      0.6253,
      0.7605,
      0.5848,
      0.7116,
      0.7521,
      0.7355,
      0.6181,
      0.6246,
      0.5519,
      0.6717,
      0.5666,
      0.6691,
      0.5785,
      0.5954,
      0.8039,
      0.6729,
      0.7783,
      0.818,
      0.8442,
      0.7147,
      0.8264,
      0.5938,
      0.7812,
      0.8131,
      0.7993,
      0.7267,
      0.5072,
      0.6248,
      0.4809,
      0.5488,
      0.5247,
      0.5222,
      0.4465,
      0.5032,
      0.5785,
      0.9088,
      0.5564,
      0.777,
      0.8565,
      1.0466,
      0.8207,
      1.1209,
      0.597,
      0.6298,
      0.9465,
      0.6573,
      0.6492,
      0.4404,
      0.5833,
      0.7567,
      0.9465,
      1.1578,
      0.7704,
      2.0431,
      0.912,
      0.9271,
      0.6585,
      1.0042,
      0.4879,
      0.5812,
      0.6419,
      0.8986,
      1.2838,
      1.5779,
      0.5759,
      0.659,
      0.5448,
      0.5419,
      0.7375,
      0.9881,
      1.0522,
      0.9271,
      1.1324,
      0.7496,
      0.5664,
      0.5901,
      0.3737,
      0.9725,
      1.5112,
      1.4823,
      1.0256,
      0.6099,
      0.6304,
      0.8835,
      0.7805,
      1.0616,
      0.8145,
      0.9322,
      0.6889,
      0.6181,
      1.1503,
      1.6016,
      0.707,
      0.8069,
      0.5587,
      0.5469,
      1.0076,
      0.7255,
      0.8934,
      0.5474,
      0.5631,
      1.1676,
      1.4096,
      0.8596,
      0.416,
      0.5901,
      1.1241,
      0.9011,
      0.6412,
      0.6034,
      0.8,
      0.8173,
      0.4618,
      0.4005,
      0.8934,
      1.145,
      0.8281,
      0.4005,
      0.6775,
      1.2024,
      0.7104,
      0.5555,
      0.6499,
      1.1666,
      0.6126,
      0.5535
    ],
    "sigma_normal_depth_counting_only": [
      0.022883214682391576,
      0.023245041580961842,
      0.0211751698090225,
      0.02449344478409262,
      0.021672926628581436,
      0.022074135632614535,
      0.02031843971308192,
      0.021297574991750823,
      0.022954228409872667,
      0.024551437177653672,
      0.023722421971749393,
      0.023388363569963152,
      0.020311555016418622,
      0.021398005556684398,
      0.020851367180098675,
      0.021953647166888392,
      0.02220752033500276,
      0.02165792924569405,
      0.02403018362234197,
      0.019938969292922475,
      0.021245529681530345,
      0.02330080970370274,
      0.019826915595199893,
      0.023375795427477725,
      0.019339732753167336,
      0.024179166385889874,
      0.023001939841955286,
      0.021804222509619643,
      0.02070147715328829,
      0.021881064144801114,
      0.021221998519271593,
      0.02379494054183343,
      0.023821476295073293,
      0.024209523442413564,
      0.022392865833583336,
      0.021812425799363076,
      0.019950669798303535,
      0.019923400593757794,
      0.023624593110535264,
      0.02460984344759329,
      0.02002525440829807,
      0.023426189978311064,
      0.02146575399079599,
      0.021297574991750823,
      0.023854771165217347,
      0.022196760471146063,
      0.021438918721695094,
      0.02474279654583149,
      0.021995249289774157,
      0.02093205053712296,
      0.021687955210017328,
      0.0205675929003141,
      0.023969026809473003,
      0.021618087932777027,
      0.022543404226814612,
      0.02160320402627621,
      0.021896530189552163,
      0.023232702951720616,
      0.019470289342658598,
      0.023375795427477725,
      0.02389490989193631,
      0.02169297168887993,
      0.021451182301757157,
      0.019682906324705776,
      0.02220752033500276,
      0.01990011577304304,
      0.021763569905088712,
      0.02205829046209665,
      0.020914039973613064,
      0.02135479022809075,
      0.02295272630719183,
      0.021773711735932337,
      0.025217800187330167,
      0.023445172136457394,
      0.020864749629593365,
      0.02335698114528499,
      0.021165841211897303,
      0.022180649959818697,
      0.01983841982978135,
      0.02281869443728099,
      0.020229667070276024,
      0.020869216175250106,
      0.022332394163680887,
      0.02046992114631723,
      0.01896341946741131,
      0.0229708547638431,
      0.021441484312415954,
      0.020882633042670174,
      0.02326358644016995,
      0.020554773774855633,
      0.022223689510011763,
      0.02146089346214142,
      0.022000482088224093,
      0.02501529788806853,
      0.023128611839540444,
      0.022865563993681903,
      0.022121876808424788,
      0.021608161912119717,
      0.023019908483564704,
      0.02123610782718396,
      0.02058043603980719,
      0.021633353227061905,
      0.022121876808424788,
      0.0227489273876006,
      0.02315908153671095,
      0.02256031877757509,
      0.019578779656946908,
      0.020533461727423968,
      0.024631853508251436,
      0.023715862203291263,
      0.02070147715328829,
      0.022554676364338066,
      0.020160835573328074,
      0.019389707839158835,
      0.024450219165703526,
      0.019938969292922475,
      0.022148533894891135,
      0.021311835677282877,
      0.020419511211847027,
      0.01980396703979716,
      0.02247892241294586,
      0.021082434917265993,
      0.01976969312718173,
      0.02050797456387922,
      0.022571616319476486,
      0.021778787971069892,
      0.02208471806934693,
      0.01990399090743861,
      0.02142212772797427,
      0.022132528088435594,
      0.023540779970770035,
      0.02508484170424507,
      0.020692760445247718,
      0.0208380104475967,
      0.02117983873534129,
      0.021824634425672357,
      0.02142696195906708,
      0.021647948269709474,
      0.020495266520897712,
      0.021451182301757157,
      0.023110387646464246,
      0.024009746034345764,
      0.019935073696734962,
      0.021623056075441623,
      0.02078182326852879,
      0.022906812643233465,
      0.022229087088500243,
      0.024043837711241044,
      0.02281869443728099,
      0.021548891557570594,
      0.023001939841955286,
      0.0211751698090225,
      0.02057615232045628,
      0.020229667070276024,
      0.020128686471942336,
      0.019686655924761674,
      0.023888206032435823,
      0.02046570605204648,
      0.023104322481828827,
      0.019188620475766797,
      0.02079367268631765,
      0.020013422264988156,
      0.024908259014488236,
      0.02008473153289213,
      0.021369166232251192,
      0.018906685922962196,
      0.021922379969341484,
      0.020754009739267408,
      0.021311835677282877,
      0.02025821507866028,
      0.021804222509619643,
      0.02159329848397976,
      0.021193864066185855,
      0.022622666117522203,
      0.020423697822093138,
      0.02157352820769776,
      0.020328052258916977,
      0.02135479022809075,
      0.02036116769656032,
      0.021004560916613357,
      0.023177421259081853,
      0.020941073285273632,
      0.01957140512192812,
      0.021875916074624593,
      0.019946767341471248,
      0.01953465703568301,
      0.02056331719396622,
      0.019160895413433132,
      0.021316595608773227,
      0.020653671071006727,
      0.020762804111921742,
      0.022354327136826644,
      0.022108427218842073,
      0.021708042036966715,
      0.020152783858396417,
      0.021494986677120596,
      0.01951636044726264,
      0.022900906309439494,
      0.02135479022809075,
      0.02002525440829807,
      0.019682906324705776,
      0.01912984791038565,
      0.021383571309075294,
      0.020120673198691947,
      0.021984794884592897,
      0.021618087932777027,
      0.019567720977933134,
      0.022448268499469955,
      0.021245529681530345,
      0.019981972130655442,
      0.020303321442737006,
      0.021819526072844837,
      0.022651177211016862,
      0.02356004227643791,
      0.02056331719396622,
      0.02102280655899256,
      0.022283280073392888,
      0.02103194722840944,
      0.021114753388603854,
      0.022348837835760322,
      0.019958085839206722,
      0.021672926628581436,
      0.021534150019599317,
      0.02160320402627621,
      0.020217469100847766,
      0.021723143837165497,
      0.020303321442737006,
      0.022272409768163384,
      0.022337871354140768,
      0.019834582860171684,
      0.020666676238479766,
      0.020386110756577373,
      0.01930780922749519,
      0.01967167036638906,
      0.01957140512192812,
      0.021050264393242313,
      0.019443684853469253,
      0.019623202611085237,
      0.02070147715328829,
      0.023043932307633706,
      0.021963930717209167,
      0.019675413547556097,
      0.019981972130655442,
      0.0205675929003141,
      0.017684192814569184,
      0.019923400593757794,
      0.021412469073664096,
      0.01941484110196155,
      0.019240930982339248,
      0.02014072435347787,
      0.02072331720787976,
      0.021441484312415954,
      0.02230506851751061,
      0.02115652493282336,
      0.019283088818801645,
      0.020653671071006727,
      0.018592434376874415,
      0.017722376889976743,
      0.02029098983455414,
      0.022175287579683865,
      0.01892665133939075,
      0.023086155599344547,
      0.0235857990574932,
      0.0244072215916868,
      0.025796871858136804,
      0.025654594431186516,
      0.028020945367059475,
      0.034522685898935604,
      0.04080427689014415,
      0.03587205950608371,
      0.03154078711549563,
      0.033314956710641,
      0.03895020178988729,
      0.03383585406513876,
      0.03489260278593015,
      0.028646971197958386,
      0.028520690199467288,
      0.02961879254458956,
      0.0336845387643035,
      0.02685431269095713,
      0.031117581761295563,
      0.02446460226752033,
      0.0210594409407133,
      0.023715862203291263,
      0.026527192265312756,
      0.026778476049178806,
      0.02221290613802552,
      0.024091810955795642,
      0.022148533894891135,
      0.01959725252719598,
      0.02387481522314986,
      0.018582963470025995,
      0.020688406218285302,
      0.019337950513738884,
      0.021558736085342103,
      0.022348837835760322,
      0.020221532638653412,
      0.02625611804064998,
      0.020282781234489542,
      0.02159329848397976,
      0.023761895217666067,
      0.021647948269709474,
      0.02704675951203989,
      0.03638192233021231,
      0.05319378956155138,
      0.0446389023233149,
      0.028486538754220442,
      0.026001824955391033,
      0.026354544309217742,
      0.02373555785488383,
      0.02659166004294746,
      0.02205829046209665,
      0.020257109709176515,
      0.02153906050355143,
      0.02032392418003581,
      0.020945589036932322,
      0.023928514055164937,
      0.022148533894891135,
      0.019523672911416178,
      0.02041114570935339,
      0.017055981854822565,
      0.017475879460950968,
      0.019823085295539743,
      0.021316595608773227,
      0.020811373804893934,
      0.023122532319035053,
      0.029329315611553112,
      0.03889223731803566,
      0.04233285733203126,
      0.028928419916212932,
      0.03342455172862091,
      0.04996291047596235,
      0.02812972820105521,
      0.02832877184097103,
      0.031853871839053804,
      0.02359225146269136,
      0.024321902608794185,
      0.02025821507866028,
      0.021087042757346276,
      0.019923400593757794,
      0.017902957686936706,
      0.019188620475766797,
      0.019638846131573778,
      0.020340451604343255,
      0.024307769579995944,
      0.026940403898843706,
      0.02688291799177438,
      0.025629730174508994,
      0.022074135632614535,
      0.023715862203291263,
      0.02146089346214142,
      0.016784547837031556,
      0.02060189484085722,
      0.01852019182034966,
      0.023483275294673357,
      0.02206693377269625,
      0.02452964179199011,
      0.03309896230526562,
      0.031509983885760935,
      0.032046257784256266,
      0.02440007735967328,
      0.02607995141924251,
      0.024064362555156326,
      0.02513152776952095,
      0.022448268499469955,
      0.023226541000585927,
      0.022588594500606053,
      0.026939432766127674,
      0.021050264393242313,
      0.01881761703771785,
      0.021364371005400597,
      0.022315986734439127,
      0.019578779656946908,
      0.019600953379761584,
      0.025613194110518135,
      0.024825114233850407,
      0.023821476295073293,
      0.030569563412152088,
      0.04113712141613996,
      0.03503970468509481,
      0.024209523442413564,
      0.029404012280256357,
      0.02889278462468114,
      0.02904816344858073,
      0.021494986677120596,
      0.022537774491965246,
      0.021623056075441623,
      0.01930780922749519,
      0.02001217461489409,
      0.019978051279979644,
      0.01914362815578711,
      0.02025821507866028,
      0.024938701258057562,
      0.026911614897748733,
      0.05624937864673639,
      0.03406669966074386,
      0.024885500349260972,
      0.02531293638690607,
      0.022701834024919387,
      0.024244474453521882,
      0.020072793711420196,
      0.02249288793355647,
      0.019705436121561545,
      0.020017363982078904,
      0.026202893638881633,
      0.029760302082763927,
      0.03418390842010456,
      0.026204176839562998,
      0.030611779128760883,
      0.024698239713571192,
      0.018788205975534454,
      0.020593303268403976,
      0.018906685922962196,
      0.018523315308001123,
      0.021633002645117097,
      0.024167781085398785,
      0.03531239132443733,
      0.02699826016466867,
      0.022906812643233465,
      0.026463191098411623,
      0.020398616711132928,
      0.019560358927179274,
      0.018476628242883805,
      0.020336315968511223,
      0.02387481522314986,
      0.03364773190537375,
      0.043422550009776226,
      0.021096267508654003,
      0.02855496476625699,
      0.01834472361554126,
      0.02165792924569405,
      0.02744440062715037,
      0.025805315012010045,
      0.026433588771019145,
      0.023502396671527905,
      0.02446460226752033,
      0.01925846311823515,
      0.026769041574228544,
      0.03553646751260989,
      0.025465795718568936,
      0.021608161912119717,
      0.01990443327647112,
      0.020348730450901898,
      0.021165841211897303,
      0.024735353659236146,
      0.030143319668285394,
      0.02471306523460382,
      0.019223446640906826,
      0.023426189978311064,
      0.021058693649075793,
      0.019098950843467202,
      0.030897758525518362,
      0.02951713513733312,
      0.017589802056183698,
      0.017993910835217862,
      0.02009270192355451,
      0.03151008894245047,
      0.02402336529519902,
      0.021345222328550913,
      0.01758178156993965,
      0.027075984877766142,
      0.018936657795635317,
      0.020972745031743338,
      0.024942857979541183,
      0.02224530345126727,
      0.019716730070667085,
      0.019728043460972112,
      0.021637981080016747,
      0.027913414877424755,
      0.024321902608794185,
      0.02147289527763331,
      0.01840572209054677,
      0.020789254459490293,
      0.02508484170424507,
      0.02658242157753572,
      0.02178895110146417,
      0.0192304346560477,
      0.018807567362306984,
      0.019781097985059372,
      0.025360910039444847,
      0.027066232565397825,
      0.021316595608773227,
      0.021082434917265993,
      0.018840588042735747,
      0.02024103530294447,
      0.0336845387643035,
      0.021896530189552163,
      0.01947628824322634,
      0.021050264393242313,
      0.02029098983455414,
      0.02891660677696952,
      0.019758307973022644,
      0.01914362815578711,
      0.021819526072844837,
      0.028520690199467288,
      0.021009117873220202,
      0.01851083082939097,
      0.02021299693246872,
      0.021142573551332474,
      0.02058901151099056,
      0.024862803953302308,
      0.01899366239294187,
      0.017942579642449812,
      0.017761843921895136,
      0.022889107334894014,
      0.022966128429494293,
      0.020148761616830227,
      0.01839653351797571,
      0.01869436679944721,
      0.021994478500270028,
      0.025932965448826815,
      0.020080749892812874,
      0.016680914718921348,
      0.018687946844696227,
      0.021316595608773227,
      0.02995280681036922,
      0.020432078773780567,
      0.020270486992081917,
      0.020914039973613064,
      0.025975938410748706,
      0.02041114570935339,
      0.024135119097871693,
      0.02121730166240779,
      0.019044390414794225,
      0.018097908897363277,
      0.02278373079969863,
      0.025328897342487233,
      0.019694070130631878,
      0.019188620475766797,
      0.019321977931332723,
      0.020981820528824427,
      0.025613194110518135,
      0.02029920840889647,
      0.02007453212586913,
      0.019849944112954772,
      0.02995657949193095,
      0.019443684853469253,
      0.01820966484526853,
      0.025350730227698785,
      0.021773711735932337,
      0.018305398303405652,
      0.023226541000585927,
      0.025967326728298837,
      0.019834582860171684,
      0.018282960070220053,
      0.020959153840044997,
      0.027495348785388386,
      0.020914039973613064,
      0.019880773994203366,
      0.019458066818380422,
      0.02449344478409262,
      0.021364371005400597,
      0.018720112942005592,
      0.02036531851564668,
      0.02073628043447123,
      0.020649341468048282,
      0.022900906309439494,
      0.023319488464822277,
      0.019746942465912087,
      0.019092105136112494,
      0.023138857214950313,
      0.020520706274868586,
      0.019656718977044758,
      0.02153906050355143,
      0.022801192513541575,
      0.021922732274042154,
      0.019092105136112494,
      0.020972745031743338,
      0.022674063862171214,
      0.02278373079969863,
      0.020740597490662278,
      0.021875916074624593,
      0.025629730174508994,
      0.019389707839158835,
      0.022871443017629306,
      0.02100017639878283,
      0.020941073285273632,
      0.020864749629593365,
      0.020842459839405834,
      0.021297574991750823,
      0.019961934787189738,
      0.02074083910806001,
      0.022272409768163384,
      0.02057615232045628,
      0.02035287366676938,
      0.020173143483128493,
      0.020829120205842235,
      0.021151871404088224,
      0.0221645744766498,
      0.02046992114631723,
      0.021953394577681428,
      0.020882633042670174,
      0.02045728366918822,
      0.0192619752999222,
      0.01983986178343717,
      0.0221645744766498,
      0.02025821507866028,
      0.021100884426498528,
      0.021758504301127784,
      0.02262857203396109,
      0.019567720977933134,
      0.02373555785488383,
      0.020394445502697412,
      0.021979573269000855,
      0.021564529512189273,
      0.01963063587533537,
      0.019826915595199893,
      0.020282781234489542,
      0.021731476552641214,
      0.02113792922057178,
      0.02190685912415077,
      0.020229667070276024,
      0.01900715021785831,
      0.022124367981659964,
      0.02230506851751061,
      0.022068850115711025,
      0.02378170587595564,
      0.021881064144801114,
      0.0224512139739965,
      0.02023373796902703,
      0.022272409768163384,
      0.020311555016418622,
      0.022891050495042174,
      0.02135479022809075,
      0.021623056075441623,
      0.02220752033500276,
      0.02137768907327427,
      0.021834861904139066,
      0.02221290613802552,
      0.020990907817713202,
      0.022989984097325267,
      0.019605933889267242,
      0.021969141189717305,
      0.021250245313844434,
      0.020128686471942336,
      0.020871376226526267,
      0.021633002645117097,
      0.022476124484685556,
      0.024050673489518542,
      0.021363517084568462,
      0.021647948269709474,
      0.021412469073664096,
      0.01976969312718173,
      0.021984794884592897,
      0.024397927244526767,
      0.021004560916613357,
      0.021490106268426134,
      0.02180932011900705,
      0.022337064039013765,
      0.02146089346214142,
      0.022026702216946796,
      0.02209001499829181,
      0.022374920341018924,
      0.02224530345126727,
      0.022196760471146063,
      0.019731818920985245,
      0.02158397085132448,
      0.021647948269709474,
      0.020245965426716292,
      0.01951636044726264,
      0.02024103530294447,
      0.01967167036638906,
      0.023702758974964624,
      0.02090056251868493,
      0.02398011796921248,
      0.021703015098320053,
      0.022348837835760322,
      0.025178475471806246,
      0.024604370081863176,
      0.023128611839540444,
      0.021773711735932337,
      0.01960836137922758,
      0.021311793239564218,
      0.020419511211847027,
      0.01891998917444648,
      0.020037107562211737,
      0.018372351739724915,
      0.020882633042670174,
      0.022972085383859656,
      0.023432512240576346,
      0.02634464228597581,
      0.02316518993943489,
      0.021165841211897303,
      0.019716730070667085,
      0.019040443344731654,
      0.018381249763856505,
      0.019694161558039082,
      0.02004106329329205,
      0.02275297271922785,
      0.026911614897748733,
      0.0227489273876006,
      0.021050264393242313,
      0.01862979901949227,
      0.019382544816074695,
      0.019746942465912087,
      0.020432078773780567,
      0.02287365319698671,
      0.02625611804064998,
      0.0286817036027219,
      0.022245921380129957,
      0.020116670149247343,
      0.018704009149419266,
      0.02230506851751061,
      0.02387403568835009,
      0.029969803135035864,
      0.025069337404672532,
      0.02060189484085722,
      0.021458533226842394,
      0.01817710172828194,
      0.017730591419692486,
      0.020016054947026168,
      0.021647948269709474,
      0.028140676300814595,
      0.022409443544576083,
      0.02086258057254049,
      0.019223446640906826,
      0.01876867504144347,
      0.020068819165421317,
      0.030779197191670632,
      0.02349601769033577,
      0.01986148850301923,
      0.019251035327919563,
      0.020767205492675713,
      0.026930797301958628,
      0.024244474453521882,
      0.020515442188314102,
      0.018025497616489368,
      0.019487192540544453,
      0.022883214682391576,
      0.028448405837565936,
      0.021778787971069892,
      0.019981972130655442,
      0.02127907301383556,
      0.024471803343505596,
      0.027075984877766142,
      0.023540779970770035,
      0.01924758305276457,
      0.01844878488390502,
      0.02261697680720533,
      0.03151008894245047,
      0.0205037359233967,
      0.02038194721367062,
      0.019075023020977345,
      0.02364040670880414,
      0.025967326728298837,
      0.02037362777513605,
      0.019493823301282912,
      0.019389707839158835,
      0.028845475108942795,
      0.021094948328837054,
      0.02023373796902703,
      0.018185965249921002,
      0.029060219752665407,
      0.023583063328607864,
      0.01822750047186018,
      0.023007924713127372,
      0.031226260511503633,
      0.020303321442737006,
      0.018614589594592317,
      0.023086155599344547,
      0.023278017813348734,
      0.0190511849061814,
      0.01898692923914643,
      0.029058074026725708,
      0.019664190408707802,
      0.017684192814569184,
      0.022440267086772492,
      0.02759810215118327,
      0.020593303268403976,
      0.020593303268403976,
      0.027556140126948795,
      0.026071235909327594,
      0.020189092762946382,
      0.02205653916586702,
      0.023702758974964624,
      0.018106657019644798,
      0.02093770015983431,
      0.024757702497197,
      0.019634355676530595,
      0.02126509612043625,
      0.02425849730384636,
      0.020013422264988156,
      0.02379494054183343,
      0.024348869971421373,
      0.02072331720787976,
      0.023445172136457394,
      0.022145364607902653,
      0.019202528214778684,
      0.02387481522314986,
      0.02300216291194145,
      0.01912984791038565,
      0.02389490989193631,
      0.02283321326393576,
      0.025409157488922265,
      0.02607995141924251,
      0.019768432053863506,
      0.019746942465912087,
      0.023146879213599873,
      0.01966824102931632,
      0.02201095889904977,
      0.022196760471146063,
      0.020436273120511914,
      0.022764383879460642,
      0.019950669798303535,
      0.023061999616533765,
      0.0216721122001238,
      0.021345222328550913,
      0.022906812643233465,
      0.019772172296141588,
      0.02281869443728099,
      0.021221998519271593,
      0.023156867159065102,
      0.02000161107028409,
      0.02256031877757509,
      0.02284474563846029,
      0.02169297168887993,
      0.02077601665786781,
      0.022087767150468254,
      0.024587892283045778,
      0.021114753388603854,
      0.02422406900562992,
      0.019578779656946908,
      0.023540779970770035,
      0.021227958630802794,
      0.020315675561335216,
      0.02688291799177438,
      0.01986637385171838,
      0.023948744732667615,
      0.01873949250906738,
      0.023834616257883173,
      0.021436640247587322,
      0.022906812643233465,
      0.02124650303309096,
      0.022016202920330616,
      0.02229961541509569,
      0.019746035087463625,
      0.01985763813529027,
      0.01914362815578711,
      0.020706136332970783,
      0.021912029075790665,
      0.01947265754316958,
      0.02097333246390545,
      0.025830694301010895,
      0.022105928682298038,
      0.025558274183677086,
      0.02058901151099056,
      0.021045680615659913,
      0.021237224759601003,
      0.02237081934067086,
      0.02432897837375595,
      0.020177118223568775,
      0.022332394163680887,
      0.02297863637659343,
      0.02208471806934693,
      0.02171810640233519,
      0.02012168469157418,
      0.020842459839405834,
      0.019823085295539743,
      0.020366622942224764,
      0.021345222328550913,
      0.025328897342487233,
      0.02187191270473391,
      0.021984794884592897,
      0.021860493638460158,
      0.020101997444035635,
      0.02016486505151131,
      0.023483275294673357,
      0.02187191270473391,
      0.02090056251868493,
      0.021189185860511106,
      0.02172651088094662,
      0.021819526072844837,
      0.021058693649075793,
      0.019938969292922475,
      0.022381834443625154,
      0.02136823794866516,
      0.023043932307633706,
      0.020679706004013747,
      0.02253382949414966,
      0.02292455910142899,
      0.022691274449639587,
      0.021274410987640338,
      0.021193864066185855,
      0.0204241113827271,
      0.021819526072844837,
      0.02044887167607655,
      0.021953394577681428,
      0.02060189484085722,
      0.020815806152373852,
      0.023854301545525005,
      0.021834861904139066,
      0.02330080970370274,
      0.024060614252754513,
      0.024265517859646202,
      0.022578265702064424,
      0.024002945084212246,
      0.02079367268631765,
      0.023519835286131857,
      0.023801566165897445,
      0.023605172175650564,
      0.02274727357041516,
      0.019716730070667085,
      0.021363517084568462,
      0.019400467279665434,
      0.020229667070276024,
      0.02008628918441003,
      0.01990011577304304,
      0.01899366239294187,
      0.019820989444933785,
      0.02060189484085722,
      0.025445889263197345,
      0.02032392418003581,
      0.023282175755117478,
      0.024640496114536375,
      0.027495348785388386,
      0.023915055384919517,
      0.02899887746459602,
      0.0208380104475967,
      0.02142989536721278,
      0.025847655486147293,
      0.021623056075441623,
      0.021686907668758946,
      0.01891998917444648,
      0.02082313728669781,
      0.022989984097325267,
      0.025847655486147293,
      0.029670696039913923,
      0.023183544188785127,
      0.05090863774125545,
      0.025501896000605626,
      0.02553917590993396,
      0.021811393221060477,
      0.026778476049178806,
      0.01948355574001718,
      0.020796965711010095,
      0.02142212772797427,
      0.025287880782074917,
      0.03182214313773539,
      0.03816150166895169,
      0.020727654403050952,
      0.021647948269709474,
      0.020333989572288373,
      0.02014072435347787,
      0.022720046058076784,
      0.02672438983822741,
      0.027587774943059206,
      0.02553917590993396,
      0.02921369797738733,
      0.022889107334894014,
      0.020608009264301366,
      0.02074961674144801,
      0.018159413494859986,
      0.026469420473788793,
      0.03662097792946913,
      0.03626610541191276,
      0.02713472095063386,
      0.021004560916613357,
      0.021434660382133725,
      0.024862803953302308,
      0.02351354041486836,
      0.02774391168838939,
      0.023821476295073293,
      0.025820849926923482,
      0.022047745951850897,
      0.021274410987640338,
      0.029304542938332203,
      0.03902121087989648,
      0.02229961541509569,
      0.023715862203291263,
      0.02050708871822781,
      0.02020123941226063,
      0.0270441312576014,
      0.022554676364338066,
      0.02501529788806853,
      0.020366622942224764,
      0.020406966811838567,
      0.029849292460983057,
      0.034401970213121115,
      0.02449344478409262,
      0.01878186004221287,
      0.02074961674144801,
      0.029058074026725708,
      0.02513152776952095,
      0.021579105587418927,
      0.020918538255719904,
      0.02361164049793615,
      0.02405387524775399,
      0.019171278222649663,
      0.018604812818728885,
      0.02501529788806853,
      0.02920607626258515,
      0.024210320373928097,
      0.018461144160423527,
      0.02206693377269625,
      0.030265227292102688,
      0.022517233429124383,
      0.020311555016418622,
      0.02152433911866434,
      0.029836428484655876,
      0.0210365220364969,
      0.020444761255976662
    ],
    "valid": [
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true,
      true
    ]
  },
  "quality_flags": [
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
  ],
  "raw_samples_per_bin": [
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    66,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64,
    65,
    64,
    65,
    65,
    64,
    65,
    64
  ],
  "detectable_tau_limit": [
    3.6524,
    3.6651,
    3.5896,
    3.7076,
    3.6084,
    3.6233,
    3.5685,
    3.5943,
    3.655,
    3.7094,
    3.6816,
    3.6701,
    3.5559,
    3.5982,
    3.5771,
    3.6313,
    3.6281,
    3.6078,
    3.6921,
    3.541,
    3.5923,
    3.6671,
    3.5364,
    3.6698,
    3.5162,
    3.7095,
    3.6566,
    3.6133,
    3.5713,
    3.6162,
    3.5915,
    3.6841,
    3.6851,
    3.6982,
    3.6348,
    3.626,
    3.5415,
    3.5403,
    3.6782,
    3.7113,
    3.5444,
    3.6714,
    3.6007,
    3.5943,
    3.6861,
    3.6279,
    3.612,
    3.7158,
    3.6204,
    3.5804,
    3.609,
    3.5661,
    3.69,
    3.6064,
    3.6404,
    3.6058,
    3.6169,
    3.6648,
    3.5341,
    3.6698,
    3.6876,
    3.6093,
    3.6002,
    3.5304,
    3.6282,
    3.5393,
    3.6119,
    3.6228,
    3.5796,
    3.5965,
    3.6674,
    3.6122,
    3.731,
    3.6721,
    3.5777,
    3.6691,
    3.5893,
    3.6273,
    3.5369,
    3.6502,
    3.5526,
    3.578,
    3.6327,
    3.5623,
    3.5002,
    3.6681,
    3.5999,
    3.5785,
    3.6658,
    3.5656,
    3.6288,
    3.6005,
    3.6207,
    3.7245,
    3.6612,
    3.6518,
    3.6252,
    3.6062,
    3.6573,
    3.5921,
    3.5667,
    3.6194,
    3.6252,
    3.6477,
    3.6622,
    3.6411,
    3.5262,
    3.5649,
    3.7121,
    3.6813,
    3.5714,
    3.6408,
    3.5499,
    3.5183,
    3.7062,
    3.541,
    3.6261,
    3.5949,
    3.5602,
    3.5355,
    3.6504,
    3.5861,
    3.534,
    3.5638,
    3.6414,
    3.6125,
    3.6237,
    3.5396,
    3.5991,
    3.6255,
    3.6756,
    3.7268,
    3.5711,
    3.5767,
    3.5899,
    3.6143,
    3.5994,
    3.6076,
    3.5633,
    3.6002,
    3.6606,
    3.6915,
    3.5408,
    3.6068,
    3.587,
    3.6535,
    3.6291,
    3.6925,
    3.6503,
    3.6039,
    3.6567,
    3.5897,
    3.5665,
    3.5527,
    3.5487,
    3.5307,
    3.6873,
    3.5621,
    3.6603,
    3.5099,
    3.5751,
    3.544,
    3.7211,
    3.547,
    3.5972,
    3.4979,
    3.6178,
    3.5735,
    3.5949,
    3.554,
    3.6134,
    3.6056,
    3.5905,
    3.6433,
    3.5605,
    3.6048,
    3.5567,
    3.5966,
    3.558,
    3.5831,
    3.6629,
    3.5807,
    3.526,
    3.6161,
    3.5413,
    3.5244,
    3.566,
    3.5088,
    3.5952,
    3.5696,
    3.5738,
    3.6337,
    3.6371,
    3.61,
    3.5497,
    3.602,
    3.5237,
    3.6532,
    3.5966,
    3.5445,
    3.5305,
    3.5074,
    3.5977,
    3.5485,
    3.6202,
    3.6065,
    3.5258,
    3.6371,
    3.5925,
    3.5428,
    3.5557,
    3.614,
    3.6443,
    3.6763,
    3.566,
    3.584,
    3.631,
    3.5843,
    3.5875,
    3.6335,
    3.5292,
    3.6085,
    3.6034,
    3.606,
    3.5522,
    3.6106,
    3.5558,
    3.6307,
    3.6332,
    3.5368,
    3.5702,
    3.5591,
    3.5149,
    3.5301,
    3.5261,
    3.5851,
    3.5207,
    3.5282,
    3.5715,
    3.6584,
    3.6193,
    3.5303,
    3.5428,
    3.5663,
    3.4439,
    3.5404,
    3.5989,
    3.5195,
    3.5122,
    3.5493,
    3.5723,
    3.6,
    3.6319,
    3.5892,
    3.514,
    3.5697,
    3.4844,
    3.4456,
    3.5553,
    3.6271,
    3.4988,
    3.6597,
    3.677,
    3.7048,
    3.7495,
    3.745,
    3.8165,
    3.9845,
    4.1065,
    4.0154,
    3.9117,
    3.9559,
    4.0815,
    3.9682,
    3.9933,
    3.8342,
    3.8307,
    3.8611,
    3.9647,
    3.7821,
    3.901,
    3.7067,
    3.5854,
    3.6815,
    3.7721,
    3.7799,
    3.6286,
    3.6944,
    3.6262,
    3.527,
    3.687,
    3.484,
    3.571,
    3.5037,
    3.6043,
    3.6335,
    3.5525,
    3.764,
    3.5551,
    3.6057,
    3.6832,
    3.6077,
    3.7878,
    4.0265,
    4.3299,
    4.1906,
    3.8297,
    3.7561,
    3.7669,
    3.6822,
    3.7742,
    3.623,
    3.5414,
    3.6038,
    3.5566,
    3.5811,
    3.6888,
    3.6262,
    3.524,
    3.5601,
    3.4145,
    3.4342,
    3.5363,
    3.5953,
    3.5758,
    3.661,
    3.8532,
    4.0806,
    4.1358,
    3.8423,
    3.9586,
    4.2805,
    3.8194,
    3.8253,
    3.9197,
    3.6774,
    3.702,
    3.5541,
    3.5865,
    3.5405,
    3.4538,
    3.51,
    3.5164,
    3.5574,
    3.7016,
    3.7848,
    3.783,
    3.7443,
    3.6236,
    3.6815,
    3.6007,
    3.4015,
    3.5676,
    3.4813,
    3.6737,
    3.6107,
    3.7089,
    3.9506,
    3.9112,
    3.9247,
    3.7045,
    3.7586,
    3.6934,
    3.7285,
    3.6372,
    3.6647,
    3.6422,
    3.7722,
    3.5852,
    3.4943,
    3.597,
    3.6323,
    3.5264,
    3.5273,
    3.7439,
    3.7186,
    3.6853,
    3.8865,
    4.1126,
    3.9964,
    3.6984,
    3.8553,
    3.8413,
    3.8454,
    3.6021,
    3.6404,
    3.6069,
    3.5151,
    3.5316,
    3.5427,
    3.5083,
    3.5541,
    3.7224,
    3.7839,
    4.3747,
    3.9739,
    3.7205,
    3.7344,
    3.6337,
    3.6995,
    3.5466,
    3.6388,
    3.5316,
    3.5444,
    3.7624,
    3.8649,
    3.9767,
    3.7498,
    3.8877,
    3.7145,
    3.4931,
    3.5674,
    3.4981,
    3.4815,
    3.6073,
    3.697,
    3.9906,
    3.7866,
    3.6537,
    3.7704,
    3.5597,
    3.5257,
    3.4794,
    3.5572,
    3.6871,
    3.9515,
    4.1685,
    3.5869,
    3.8318,
    3.4736,
    3.6081,
    3.7997,
    3.75,
    3.757,
    3.6744,
    3.7068,
    3.513,
    3.7795,
    4.0078,
    3.7391,
    3.6064,
    3.5272,
    3.5577,
    3.5896,
    3.7157,
    3.8754,
    3.7149,
    3.5117,
    3.6717,
    3.5729,
    3.5063,
    3.8952,
    3.8585,
    3.4396,
    3.4581,
    3.5474,
    3.8986,
    3.6921,
    3.5965,
    3.4392,
    3.7889,
    3.4994,
    3.5823,
    3.7099,
    3.63,
    3.5321,
    3.5326,
    3.6076,
    3.8133,
    3.7021,
    3.5887,
    3.4764,
    3.5751,
    3.7271,
    3.7739,
    3.6131,
    3.5119,
    3.4814,
    3.5348,
    3.736,
    3.7884,
    3.5954,
    3.5864,
    3.4953,
    3.5408,
    3.9649,
    3.6172,
    3.5223,
    3.5853,
    3.5554,
    3.8293,
    3.5338,
    3.5083,
    3.6142,
    3.8308,
    3.5837,
    3.481,
    3.5398,
    3.5888,
    3.5672,
    3.7198,
    3.5019,
    3.4557,
    3.4349,
    3.6531,
    3.6556,
    3.5497,
    3.476,
    3.489,
    3.6081,
    3.7541,
    3.547,
    3.3967,
    3.4888,
    3.5955,
    3.8578,
    3.5611,
    3.5547,
    3.5799,
    3.7554,
    3.5603,
    3.6834,
    3.5916,
    3.5041,
    3.4627,
    3.6493,
    3.7349,
    3.5186,
    3.5102,
    3.5158,
    3.5826,
    3.744,
    3.5557,
    3.5341,
    3.5377,
    3.8705,
    3.5209,
    3.4678,
    3.7231,
    3.6125,
    3.4721,
    3.6648,
    3.755,
    3.537,
    3.4584,
    3.5818,
    3.8012,
    3.5799,
    3.5389,
    3.509,
    3.708,
    3.5972,
    3.4901,
    3.5585,
    3.5604,
    3.5696,
    3.6534,
    3.6681,
    3.5334,
    3.5061,
    3.6493,
    3.5647,
    3.5298,
    3.6039,
    3.6499,
    3.6055,
    3.5061,
    3.5824,
    3.6455,
    3.6493,
    3.5607,
    3.6163,
    3.7444,
    3.5186,
    3.6525,
    3.5708,
    3.581,
    3.5781,
    3.5773,
    3.5947,
    3.5297,
    3.5733,
    3.631,
    3.5668,
    3.558,
    3.5381,
    3.5767,
    3.5892,
    3.627,
    3.5626,
    3.6067,
    3.5789,
    3.5621,
    3.5134,
    3.5247,
    3.6271,
    3.5543,
    3.5873,
    3.612,
    3.6313,
    3.5261,
    3.6824,
    3.5596,
    3.6202,
    3.5922,
    3.5287,
    3.5368,
    3.5553,
    3.5985,
    3.5886,
    3.6175,
    3.553,
    3.5026,
    3.613,
    3.6322,
    3.6235,
    3.6841,
    3.6167,
    3.6248,
    3.5533,
    3.631,
    3.5563,
    3.6405,
    3.5969,
    3.6071,
    3.6286,
    3.5852,
    3.6149,
    3.6289,
    3.5829,
    3.6567,
    3.5151,
    3.6199,
    3.593,
    3.549,
    3.5658,
    3.6074,
    3.6384,
    3.6932,
    3.5846,
    3.608,
    3.5992,
    3.5344,
    3.6205,
    3.6921,
    3.5835,
    3.602,
    3.6141,
    3.6208,
    3.6009,
    3.622,
    3.6244,
    3.6221,
    3.6301,
    3.6283,
    3.533,
    3.5931,
    3.608,
    3.5538,
    3.524,
    3.5409,
    3.5304,
    3.6814,
    3.5795,
    3.6782,
    3.61,
    3.6338,
    3.7303,
    3.6991,
    3.6616,
    3.6126,
    3.5278,
    3.5827,
    3.5607,
    3.4989,
    3.5454,
    3.4624,
    3.5789,
    3.6561,
    3.6722,
    3.7542,
    3.6629,
    3.5898,
    3.5323,
    3.4914,
    3.4755,
    3.5313,
    3.5456,
    3.6358,
    3.7841,
    3.6481,
    3.5854,
    3.4738,
    3.5185,
    3.5335,
    3.5612,
    3.64,
    3.7643,
    3.8355,
    3.6175,
    3.5486,
    3.4896,
    3.6323,
    3.6747,
    3.8711,
    3.7269,
    3.5679,
    3.5883,
    3.4665,
    3.4463,
    3.532,
    3.608,
    3.8202,
    3.636,
    3.5656,
    3.5119,
    3.4924,
    3.5466,
    3.8799,
    3.6743,
    3.5383,
    3.5004,
    3.5745,
    3.7846,
    3.6997,
    3.5519,
    3.4597,
    3.5229,
    3.6529,
    3.8164,
    3.613,
    3.5432,
    3.5816,
    3.7074,
    3.7891,
    3.676,
    3.5002,
    3.4784,
    3.6434,
    3.8989,
    3.564,
    3.5592,
    3.5056,
    3.6668,
    3.7551,
    3.5589,
    3.5105,
    3.5188,
    3.8401,
    3.5745,
    3.5534,
    3.4669,
    3.8462,
    3.6648,
    3.4687,
    3.6574,
    3.8917,
    3.5561,
    3.4858,
    3.6601,
    3.6543,
    3.5045,
    3.5018,
    3.8336,
    3.5302,
    3.4442,
    3.6246,
    3.8046,
    3.5677,
    3.5677,
    3.7906,
    3.7585,
    3.5516,
    3.6107,
    3.6815,
    3.4633,
    3.5685,
    3.7167,
    3.529,
    3.5811,
    3.7001,
    3.5445,
    3.6846,
    3.6908,
    3.5727,
    3.6727,
    3.614,
    3.511,
    3.6874,
    3.6445,
    3.5079,
    3.6881,
    3.6388,
    3.7378,
    3.7589,
    3.5219,
    3.5336,
    3.6624,
    3.5179,
    3.6215,
    3.6284,
    3.5615,
    3.6362,
    3.542,
    3.6594,
    3.5964,
    3.5968,
    3.6539,
    3.5222,
    3.6507,
    3.5921,
    3.6501,
    3.544,
    3.6416,
    3.6391,
    3.6098,
    3.5748,
    3.6119,
    3.7111,
    3.588,
    3.6865,
    3.5267,
    3.6761,
    3.5797,
    3.5567,
    3.7833,
    3.526,
    3.6899,
    3.4912,
    3.6734,
    3.6002,
    3.654,
    3.5803,
    3.6218,
    3.6321,
    3.521,
    3.5382,
    3.5086,
    3.5596,
    3.618,
    3.5223,
    3.5699,
    3.7511,
    3.6251,
    3.73,
    3.5675,
    3.5853,
    3.58,
    3.6348,
    3.7027,
    3.5386,
    3.6333,
    3.6439,
    3.6242,
    3.6107,
    3.5363,
    3.5775,
    3.5367,
    3.5461,
    3.5968,
    3.7351,
    3.6039,
    3.6207,
    3.616,
    3.5356,
    3.5507,
    3.6741,
    3.604,
    3.5796,
    3.5907,
    3.5984,
    3.6145,
    3.5732,
    3.5416,
    3.6352,
    3.5851,
    3.6588,
    3.5712,
    3.6281,
    3.6546,
    3.6464,
    3.5815,
    3.591,
    3.5485,
    3.6145,
    3.5621,
    3.6069,
    3.568,
    3.5764,
    3.6742,
    3.6151,
    3.6677,
    3.6812,
    3.7006,
    3.6297,
    3.6917,
    3.5756,
    3.6628,
    3.685,
    3.6782,
    3.6357,
    3.5325,
    3.5848,
    3.5193,
    3.5532,
    3.5349,
    3.5399,
    3.5022,
    3.5242,
    3.568,
    3.7265,
    3.557,
    3.6671,
    3.7004,
    3.8015,
    3.6889,
    3.8322,
    3.5773,
    3.5873,
    3.7516,
    3.6073,
    3.597,
    3.4991,
    3.5641,
    3.6569,
    3.7516,
    3.8505,
    3.6638,
    4.2962,
    3.7281,
    3.7419,
    3.6017,
    3.7803,
    3.5228,
    3.5631,
    3.5997,
    3.7214,
    3.9196,
    4.0658,
    3.5604,
    3.6082,
    3.5449,
    3.5498,
    3.6473,
    3.766,
    3.8043,
    3.7419,
    3.8379,
    3.6534,
    3.5557,
    3.5738,
    3.4658,
    3.7582,
    4.0327,
    4.012,
    3.791,
    3.5837,
    3.5877,
    3.7202,
    3.6625,
    3.8089,
    3.6858,
    3.7382,
    3.6231,
    3.5815,
    3.8531,
    4.0712,
    3.6322,
    3.682,
    3.5519,
    3.5523,
    3.7757,
    3.6414,
    3.7251,
    3.5462,
    3.5604,
    3.8555,
    3.9822,
    3.7083,
    3.4806,
    3.5739,
    3.8338,
    3.729,
    3.5931,
    3.5805,
    3.6786,
    3.6809,
    3.5098,
    3.4729,
    3.7251,
    3.8505,
    3.6862,
    3.4792,
    3.6111,
    3.8791,
    3.6276,
    3.5566,
    3.6037,
    3.8549,
    3.5851,
    3.5493
  ],
  "local_searches": [
    {
      "radius_window_km": [
        125310,
        125390
      ],
      "points": 80,
      "minimum_searched_wavelength_km": 3,
      "dominant_spatial_wavelength_km": 16.52653342522398,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016930775646371975,
        0.017194884626077288,
        0.017458993605782597,
        0.017723102585487906,
        0.017987211565193215,
        0.018251320544898527,
        0.018515429524603836,
        0.018779538504309145,
        0.019043647484014457,
        0.019307756463719766,
        0.019571865443425075,
        0.019835974423130384,
        0.020100083402835697,
        0.020364192382541006,
        0.020628301362246318,
        0.020892410341951627,
        0.021156519321656936,
        0.021420628301362245,
        0.021684737281067557,
        0.021948846260772866,
        0.022212955240478175,
        0.022477064220183487,
        0.022741173199888796,
        0.023005282179594105,
        0.023269391159299414,
        0.023533500139004727,
        0.023797609118710036,
        0.024061718098415345,
        0.024325827078120657,
        0.024589936057825966,
        0.024854045037531275,
        0.025118154017236584,
        0.025382262996941896,
        0.025646371976647205,
        0.025910480956352518,
        0.026174589936057827,
        0.026438698915763136,
        0.026702807895468444,
        0.026966916875173753,
        0.027231025854879066,
        0.027495134834584375,
        0.027759243814289687,
        0.028023352793994996,
        0.028287461773700305,
        0.028551570753405614,
        0.028815679733110923,
        0.029079788712816235,
        0.029343897692521544,
        0.029608006672226857,
        0.029872115651932166,
        0.030136224631637475,
        0.030400333611342784,
        0.030664442591048093,
        0.030928551570753405,
        0.031192660550458717,
        0.031456769530164026,
        0.031720878509869335,
        0.031984987489574644,
        0.03224909646927995,
        0.03251320544898527,
        0.03277731442869057,
        0.03304142340839589,
        0.033305532388101196,
        0.033569641367806505,
        0.033833750347511814,
        0.03409785932721712,
        0.03436196830692244,
        0.03462607728662774,
        0.034890186266333056,
        0.035154295246038365,
        0.035418404225743674,
        0.03568251320544898,
        0.03594662218515429,
        0.03621073116485961,
        0.03647484014456491,
        0.036738949124270226,
        0.037003058103975535,
        0.037267167083680844,
        0.03753127606338615,
        0.03779538504309146,
        0.03805949402279678,
        0.03832360300250208,
        0.038587711982207396,
        0.038851820961912704,
        0.03911592994161801,
        0.03938003892132333,
        0.03964414790102863,
        0.03990825688073395,
        0.04017236586043925,
        0.040436474840144565,
        0.040700583819849874,
        0.04096469279955518,
        0.0412288017792605,
        0.0414929107589658,
        0.04175701973867112,
        0.04202112871837642,
        0.042285237698081735,
        0.042549346677787044,
        0.04281345565749235,
        0.04307756463719767,
        0.04334167361690297,
        0.043605782596608286,
        0.043869891576313595,
        0.044134000556018904,
        0.04439810953572421,
        0.04466221851542952,
        0.04492632749513484,
        0.04519043647484014,
        0.045454545454545456,
        0.045718654434250765,
        0.045982763413956074,
        0.04624687239366138,
        0.04651098137336669,
        0.04677509035307201,
        0.04703919933277731,
        0.047303308312482625,
        0.047567417292187934,
        0.04783152627189324,
        0.04809563525159856,
        0.04835974423130386,
        0.04862385321100918,
        0.04888796219071448,
        0.049152071170419795,
        0.0494161801501251,
        0.04968028912983041,
        0.04994439810953573,
        0.05020850708924103,
        0.05047261606894635,
        0.05073672504865165,
        0.051000834028356964,
        0.051264943008062266,
        0.05152905198776758,
        0.0517931609674729,
        0.0520572699471782,
        0.052321378926883516,
        0.05258548790658882,
        0.052849596886294134,
        0.053113705865999436,
        0.05337781484570475,
        0.05364192382541007,
        0.05390603280511537,
        0.054170141784820686,
        0.05443425076452599,
        0.054698359744231304,
        0.05496246872393662,
        0.05522657770364192,
        0.05549068668334724,
        0.05575479566305254,
        0.056018904642757855,
        0.05628301362246316,
        0.05654712260216847,
        0.05681123158187379,
        0.05707534056157909,
        0.05733944954128441,
        0.05760355852098971,
        0.057867667500695025,
        0.05813177648040033,
        0.05839588546010564,
        0.05865999443981096,
        0.05892410341951626,
        0.059188212399221576,
        0.05945232137892688,
        0.059716430358632194,
        0.059980539338337496,
        0.06024464831804281,
        0.06050875729774813,
        0.06077286627745343,
        0.061036975257158746,
        0.06130108423686405,
        0.061565193216569364,
        0.061829302196274666,
        0.06209341117597998,
        0.0623575201556853,
        0.0626216291353906,
        0.06288573811509592,
        0.06314984709480122,
        0.06341395607450653,
        0.06367806505421184,
        0.06394217403391715,
        0.06420628301362247,
        0.06447039199332777,
        0.06473450097303309,
        0.06499860995273839,
        0.0652627189324437,
        0.065526827912149,
        0.06579093689185432,
        0.06605504587155964,
        0.06631915485126494,
        0.06658326383097025,
        0.06684737281067556,
        0.06711148179038087,
        0.06737559077008617,
        0.06763969974979149,
        0.0679038087294968,
        0.06816791770920211,
        0.06843202668890742,
        0.06869613566861273,
        0.06896024464831804,
        0.06922435362802336,
        0.06948846260772866,
        0.06975257158743398,
        0.07001668056713928,
        0.0702807895468446,
        0.0705448985265499,
        0.07080900750625521,
        0.07107311648596053,
        0.07133722546566583,
        0.07160133444537115,
        0.07186544342507645,
        0.07212955240478176,
        0.07239366138448707,
        0.07265777036419238,
        0.0729218793438977,
        0.073185988323603,
        0.07345009730330831,
        0.07371420628301362,
        0.07397831526271893,
        0.07424242424242423,
        0.07450653322212955,
        0.07477064220183487,
        0.07503475118154017,
        0.07529886016124548,
        0.07556296914095079,
        0.0758270781206561,
        0.0760911871003614,
        0.07635529608006672,
        0.07661940505977204,
        0.07688351403947734,
        0.07714762301918265,
        0.07741173199888796,
        0.07767584097859327,
        0.07793994995829857,
        0.07820405893800389,
        0.0784681679177092,
        0.07873227689741451,
        0.07899638587711982,
        0.07926049485682513,
        0.07952460383653044,
        0.07978871281623574,
        0.08005282179594106,
        0.08031693077564636,
        0.08058103975535168,
        0.080845148735057,
        0.0811092577147623,
        0.08137336669446761,
        0.08163747567417291,
        0.08190158465387823,
        0.08216569363358353,
        0.08242980261328885,
        0.08269391159299416,
        0.08295802057269946,
        0.08322212955240478,
        0.08348623853211008,
        0.0837503475118154,
        0.0840144564915207,
        0.08427856547122602,
        0.08454267445093133,
        0.08480678343063663,
        0.08507089241034195,
        0.08533500139004725,
        0.08559911036975257,
        0.08586321934945787,
        0.08612732832916319,
        0.0863914373088685,
        0.0866555462885738,
        0.08691965526827912,
        0.08718376424798442,
        0.08744787322768974,
        0.08771198220739504,
        0.08797609118710036,
        0.08824020016680567,
        0.08850430914651097,
        0.08876841812621629,
        0.08903252710592159,
        0.08929663608562691,
        0.08956074506533221,
        0.08982485404503752,
        0.09008896302474284,
        0.09035307200444814,
        0.09061718098415346,
        0.09088128996385876,
        0.09114539894356408,
        0.09140950792326939,
        0.0916736169029747,
        0.09193772588268001,
        0.09220183486238531,
        0.09246594384209063,
        0.09273005282179593,
        0.09299416180150125,
        0.09325827078120656,
        0.09352237976091186,
        0.09378648874061718,
        0.09405059772032248,
        0.0943147067000278,
        0.0945788156797331,
        0.09484292465943842,
        0.09510703363914373,
        0.09537114261884903,
        0.09563525159855435,
        0.09589936057825965,
        0.09616346955796497,
        0.09642757853767027,
        0.09669168751737559,
        0.0969557964970809,
        0.0972199054767862,
        0.09748401445649152,
        0.09774812343619682,
        0.09801223241590214,
        0.09827634139560744,
        0.09854045037531275,
        0.09880455935501807,
        0.09906866833472337,
        0.09933277731442869,
        0.09959688629413399,
        0.0998609952738393,
        0.10012510425354461,
        0.10038921323324992,
        0.10065332221295524,
        0.10091743119266054,
        0.10118154017236586,
        0.10144564915207116,
        0.10170975813177648,
        0.10197386711148178,
        0.1022379760911871,
        0.10250208507089241,
        0.10276619405059771,
        0.10303030303030303,
        0.10329441201000833,
        0.10355852098971365,
        0.10382262996941895,
        0.10408673894912426,
        0.10435084792882958,
        0.10461495690853488,
        0.1048790658882402,
        0.1051431748679455,
        0.10540728384765082,
        0.10567139282735613,
        0.10593550180706143,
        0.10619961078676675,
        0.10646371976647205,
        0.10672782874617737,
        0.10699193772588267,
        0.10725604670558798,
        0.1075201556852933,
        0.1077842646649986,
        0.10804837364470392,
        0.10831248262440922,
        0.10857659160411454,
        0.10884070058381984,
        0.10910480956352515,
        0.10936891854323047,
        0.10963302752293577,
        0.10989713650264109,
        0.11016124548234639,
        0.1104253544620517,
        0.11068946344175701,
        0.11095357242146232,
        0.11121768140116764,
        0.11148179038087294,
        0.11174589936057826,
        0.11201000834028356,
        0.11227411731998888,
        0.11253822629969418,
        0.1128023352793995,
        0.11306644425910481,
        0.11333055323881011,
        0.11359466221851543,
        0.11385877119822073,
        0.11412288017792604,
        0.11438698915763135,
        0.11465109813733666,
        0.11491520711704198,
        0.11517931609674728,
        0.1154434250764526,
        0.1157075340561579,
        0.11597164303586321,
        0.11623575201556852,
        0.11649986099527383,
        0.11676396997497915,
        0.11702807895468445,
        0.11729218793438977,
        0.11755629691409507,
        0.11782040589380038,
        0.11808451487350569,
        0.118348623853211,
        0.11861273283291632,
        0.11887684181262162,
        0.11914095079232694,
        0.11940505977203224,
        0.11966916875173755,
        0.11993327773144287,
        0.12019738671114817,
        0.12046149569085349,
        0.12072560467055879,
        0.1209897136502641,
        0.12125382262996941,
        0.12151793160967472,
        0.12178204058938004,
        0.12204614956908534,
        0.12231025854879066,
        0.12257436752849596,
        0.12283847650820127,
        0.12310258548790658,
        0.12336669446761189,
        0.12363080344731721,
        0.12389491242702251,
        0.12415902140672783,
        0.12442313038643313,
        0.12468723936613844,
        0.12495134834584375,
        0.12521545732554906,
        0.1254795663052544,
        0.1257436752849597,
        0.126007784264665,
        0.1262718932443703,
        0.12653600222407563,
        0.12680011120378093,
        0.12706422018348623,
        0.12732832916319156,
        0.12759243814289686,
        0.12785654712260217,
        0.12812065610230747,
        0.1283847650820128,
        0.1286488740617181,
        0.1289129830414234,
        0.12917709202112873,
        0.12944120100083403,
        0.12970530998053934,
        0.12996941896024464,
        0.13023352793994997,
        0.13049763691965527,
        0.13076174589936057,
        0.1310258548790659,
        0.1312899638587712,
        0.1315540728384765,
        0.1318181818181818,
        0.13208229079788714,
        0.13234639977759244,
        0.13261050875729774,
        0.13287461773700307,
        0.13313872671670837,
        0.13340283569641367,
        0.13366694467611898,
        0.1339310536558243,
        0.1341951626355296,
        0.1344592716152349,
        0.13472338059494024,
        0.13498748957464554,
        0.13525159855435084,
        0.13551570753405615,
        0.13577981651376148,
        0.13604392549346678,
        0.13630803447317208,
        0.1365721434528774,
        0.1368362524325827,
        0.137100361412288,
        0.13736447039199332,
        0.13762857937169864,
        0.13789268835140395,
        0.13815679733110925,
        0.13842090631081458,
        0.13868501529051988,
        0.13894912427022518,
        0.13921323324993048,
        0.13947734222963581,
        0.13974145120934112,
        0.14000556018904642,
        0.14026966916875175,
        0.14053377814845705,
        0.14079788712816235,
        0.14106199610786765,
        0.14132610508757298,
        0.14159021406727829,
        0.1418543230469836,
        0.1421184320266889,
        0.14238254100639422,
        0.14264664998609952,
        0.14291075896580482,
        0.14317486794551015,
        0.14343897692521546,
        0.14370308590492076,
        0.14396719488462606,
        0.1442313038643314,
        0.1444954128440367,
        0.144759521823742,
        0.14502363080344732,
        0.14528773978315263,
        0.14555184876285793,
        0.14581595774256323,
        0.14608006672226856,
        0.14634417570197386,
        0.14660828468167916,
        0.1468723936613845,
        0.1471365026410898,
        0.1474006116207951,
        0.1476647206005004,
        0.14792882958020573,
        0.14819293855991103,
        0.14845704753961633,
        0.14872115651932166,
        0.14898526549902696,
        0.14924937447873227,
        0.14951348345843757,
        0.1497775924381429,
        0.1500417014178482,
        0.1503058103975535,
        0.15056991937725883,
        0.15083402835696413,
        0.15109813733666944,
        0.15136224631637474,
        0.15162635529608007,
        0.15189046427578537,
        0.15215457325549067,
        0.152418682235196,
        0.1526827912149013,
        0.1529469001946066,
        0.1532110091743119,
        0.15347511815401724,
        0.15373922713372254,
        0.15400333611342784,
        0.15426744509313317,
        0.15453155407283847,
        0.15479566305254377,
        0.15505977203224908,
        0.1553238810119544,
        0.1555879899916597,
        0.155852098971365,
        0.15611620795107034,
        0.15638031693077564,
        0.15664442591048094,
        0.15690853489018625,
        0.15717264386989158,
        0.15743675284959688,
        0.15770086182930218,
        0.1579649708090075,
        0.1582290797887128,
        0.15849318876841811,
        0.15875729774812342,
        0.15902140672782875,
        0.15928551570753405,
        0.15954962468723935,
        0.15981373366694468,
        0.16007784264664998,
        0.16034195162635528,
        0.16060606060606059,
        0.16087016958576592,
        0.16113427856547122,
        0.16139838754517652,
        0.16166249652488185,
        0.16192660550458715,
        0.16219071448429245,
        0.16245482346399776,
        0.16271893244370308,
        0.1629830414234084,
        0.1632471504031137,
        0.16351125938281902,
        0.16377536836252432,
        0.16403947734222962,
        0.16430358632193492,
        0.16456769530164025,
        0.16483180428134556,
        0.16509591326105086,
        0.1653600222407562,
        0.1656241312204615,
        0.1658882402001668,
        0.16615234917987212,
        0.16641645815957742,
        0.16668056713928273,
        0.16694467611898803,
        0.16720878509869336,
        0.16747289407839866,
        0.16773700305810396,
        0.1680011120378093,
        0.1682652210175146,
        0.1685293299972199,
        0.1687934389769252,
        0.16905754795663053,
        0.16932165693633583,
        0.16958576591604113,
        0.16984987489574646,
        0.17011398387545176,
        0.17037809285515707,
        0.17064220183486237,
        0.1709063108145677,
        0.171170419794273,
        0.1714345287739783,
        0.17169863775368363,
        0.17196274673338893,
        0.17222685571309423,
        0.17249096469279954,
        0.17275507367250487,
        0.17301918265221017,
        0.17328329163191547,
        0.1735474006116208,
        0.1738115095913261,
        0.1740756185710314,
        0.1743397275507367,
        0.17460383653044204,
        0.17486794551014734,
        0.17513205448985264,
        0.17539616346955797,
        0.17566027244926327,
        0.17592438142896857,
        0.17618849040867388,
        0.1764525993883792,
        0.1767167083680845,
        0.1769808173477898,
        0.17724492632749514,
        0.17750903530720044,
        0.17777314428690574,
        0.17803725326661105,
        0.17830136224631637,
        0.17856547122602168,
        0.17882958020572698,
        0.1790936891854323,
        0.1793577981651376,
        0.1796219071448429,
        0.17988601612454821,
        0.18015012510425354,
        0.18041423408395885,
        0.18067834306366415,
        0.18094245204336948,
        0.18120656102307478,
        0.18147067000278008,
        0.18173477898248538,
        0.18199888796219071,
        0.18226299694189602,
        0.18252710592160132,
        0.18279121490130665,
        0.18305532388101195,
        0.18331943286071725,
        0.18358354184042255,
        0.18384765082012788,
        0.18411175979983319,
        0.1843758687795385,
        0.18463997775924382,
        0.18490408673894912,
        0.18516819571865442,
        0.18543230469835972,
        0.18569641367806505,
        0.18596052265777036,
        0.18622463163747566,
        0.186488740617181,
        0.1867528495968863,
        0.1870169585765916,
        0.1872810675562969,
        0.18754517653600222,
        0.18780928551570752,
        0.18807339449541283,
        0.18833750347511816,
        0.18860161245482346,
        0.18886572143452876,
        0.18912983041423406,
        0.1893939393939394,
        0.1896580483736447,
        0.18992215735335,
        0.19018626633305533,
        0.19045037531276063,
        0.19071448429246593,
        0.19097859327217123,
        0.19124270225187656,
        0.19150681123158186,
        0.19177092021128717,
        0.1920350291909925,
        0.1922991381706978,
        0.1925632471504031,
        0.19282735613010843,
        0.19309146510981373,
        0.19335557408951903,
        0.19361968306922434,
        0.19388379204892967,
        0.19414790102863497,
        0.19441201000834027,
        0.1946761189880456,
        0.1949402279677509,
        0.1952043369474562,
        0.1954684459271615,
        0.19573255490686683,
        0.19599666388657214,
        0.19626077286627744,
        0.19652488184598277,
        0.19678899082568807,
        0.19705309980539337,
        0.19731720878509867,
        0.197581317764804,
        0.1978454267445093,
        0.1981095357242146,
        0.19837364470391994,
        0.19863775368362524,
        0.19890186266333054,
        0.19916597164303584,
        0.19943008062274117,
        0.19969418960244648,
        0.19995829858215178,
        0.2002224075618571,
        0.2004865165415624,
        0.2007506255212677,
        0.201014734500973,
        0.20127884348067834,
        0.20154295246038365,
        0.20180706144008895,
        0.20207117041979428,
        0.20233527939949958,
        0.20259938837920488,
        0.20286349735891018,
        0.2031276063386155,
        0.20339171531832081,
        0.20365582429802612,
        0.20391993327773145,
        0.20418404225743675,
        0.20444815123714205,
        0.20471226021684735,
        0.20497636919655268,
        0.20524047817625798,
        0.2055045871559633,
        0.20576869613566862,
        0.20603280511537392,
        0.20629691409507922,
        0.20656102307478452,
        0.20682513205448985,
        0.20708924103419515,
        0.20735335001390046,
        0.20761745899360579,
        0.2078815679733111,
        0.2081456769530164,
        0.2084097859327217,
        0.20867389491242702,
        0.20893800389213232,
        0.20920211287183763,
        0.20946622185154296,
        0.20973033083124826,
        0.20999443981095356,
        0.21025854879065886,
        0.2105226577703642,
        0.2107867667500695,
        0.2110508757297748,
        0.21131498470948012,
        0.21157909368918543,
        0.21184320266889073,
        0.21210731164859603,
        0.21237142062830136,
        0.21263552960800666,
        0.21289963858771196,
        0.2131637475674173,
        0.2134278565471226,
        0.2136919655268279,
        0.2139560745065332,
        0.21422018348623853,
        0.21448429246594383,
        0.21474840144564913,
        0.21501251042535446,
        0.21527661940505977,
        0.21554072838476507,
        0.21580483736447037,
        0.2160689463441757,
        0.216333055323881,
        0.2165971643035863,
        0.21686127328329163,
        0.21712538226299694,
        0.21738949124270224,
        0.21765360022240754,
        0.21791770920211287,
        0.21818181818181817,
        0.21844592716152347,
        0.2187100361412288,
        0.2189741451209341,
        0.2192382541006394,
        0.2195023630803447,
        0.21976647206005004,
        0.22003058103975534,
        0.22029469001946064,
        0.22055879899916597,
        0.22082290797887127,
        0.22108701695857658,
        0.2213511259382819,
        0.2216152349179872,
        0.2218793438976925,
        0.2221434528773978,
        0.22240756185710314,
        0.22267167083680844,
        0.22293577981651375,
        0.22319988879621908,
        0.22346399777592438,
        0.22372810675562968,
        0.22399221573533498,
        0.2242563247150403,
        0.2245204336947456,
        0.22478454267445092,
        0.22504865165415625,
        0.22531276063386155,
        0.22557686961356685,
        0.22584097859327215,
        0.22610508757297748,
        0.22636919655268278,
        0.22663330553238809,
        0.22689741451209341,
        0.22716152349179872,
        0.22742563247150402,
        0.22768974145120932,
        0.22795385043091465,
        0.22821795941061995,
        0.22848206839032525,
        0.22874617737003058,
        0.2290102863497359,
        0.2292743953294412,
        0.2295385043091465,
        0.22980261328885182,
        0.23006672226855712,
        0.23033083124826242,
        0.23059494022796775,
        0.23085904920767306,
        0.23112315818737836,
        0.23138726716708366,
        0.231651376146789,
        0.2319154851264943,
        0.2321795941061996,
        0.23244370308590492,
        0.23270781206561023,
        0.23297192104531553,
        0.23323603002502083,
        0.23350013900472616,
        0.23376424798443146,
        0.23402835696413676,
        0.2342924659438421,
        0.2345565749235474,
        0.2348206839032527,
        0.235084792882958,
        0.23534890186266333,
        0.23561301084236863,
        0.23587711982207393,
        0.23614122880177926,
        0.23640533778148456,
        0.23666944676118987,
        0.23693355574089517,
        0.2371976647206005,
        0.2374617737003058,
        0.2377258826800111,
        0.23798999165971643,
        0.23825410063942173,
        0.23851820961912704,
        0.23878231859883234,
        0.23904642757853767,
        0.23931053655824297,
        0.23957464553794827,
        0.2398387545176536,
        0.2401028634973589,
        0.2403669724770642,
        0.2406310814567695,
        0.24089519043647484,
        0.24115929941618014,
        0.24142340839588544,
        0.24168751737559077,
        0.24195162635529607,
        0.24221573533500138,
        0.24247984431470668,
        0.242743953294412,
        0.2430080622741173,
        0.2432721712538226,
        0.24353628023352794,
        0.24380038921323324,
        0.24406449819293854,
        0.24432860717264385,
        0.24459271615234918,
        0.24485682513205448,
        0.24512093411175978,
        0.2453850430914651,
        0.2456491520711704,
        0.24591326105087571,
        0.24617737003058102,
        0.24644147901028635,
        0.24670558798999165,
        0.24696969696969695,
        0.24723380594940228,
        0.24749791492910758,
        0.24776202390881288,
        0.2480261328885182,
        0.24829024186822352,
        0.24855435084792882,
        0.24881845982763412,
        0.24908256880733945,
        0.24934667778704475,
        0.24961078676675005,
        0.24987489574645538,
        0.2501390047261607,
        0.250403113705866,
        0.2506672226855713,
        0.25093133166527665,
        0.25119544064498195,
        0.25145954962468725,
        0.25172365860439255,
        0.25198776758409785,
        0.25225187656380316,
        0.25251598554350846,
        0.2527800945232138,
        0.2530442035029191,
        0.2533083124826244,
        0.2535724214623297,
        0.253836530442035,
        0.2541006394217403,
        0.25436474840144563,
        0.254628857381151,
        0.2548929663608563,
        0.2551570753405616,
        0.2554211843202669,
        0.2556852932999722,
        0.2559494022796775,
        0.2562135112593828,
        0.25647762023908816,
        0.25674172921879346,
        0.25700583819849876,
        0.25726994717820406,
        0.25753405615790936,
        0.25779816513761467,
        0.25806227411731997,
        0.2583263830970253,
        0.2585904920767306,
        0.25885460105643593,
        0.25911871003614123,
        0.25938281901584653,
        0.25964692799555184,
        0.25991103697525714,
        0.2601751459549625,
        0.2604392549346678,
        0.2607033639143731,
        0.2609674728940784,
        0.2612315818737837,
        0.261495690853489,
        0.2617597998331943,
        0.26202390881289966,
        0.26228801779260497,
        0.26255212677231027,
        0.26281623575201557,
        0.26308034473172087,
        0.2633444537114262,
        0.2636085626911315,
        0.26387267167083683,
        0.26413678065054214,
        0.26440088963024744,
        0.26466499860995274,
        0.26492910758965804,
        0.26519321656936334,
        0.26545732554906865,
        0.265721434528774,
        0.2659855435084793,
        0.2662496524881846,
        0.2665137614678899,
        0.2667778704475952,
        0.2670419794273005,
        0.2673060884070058,
        0.2675701973867111,
        0.2678343063664165,
        0.2680984153461218,
        0.2683625243258271,
        0.2686266333055324,
        0.2688907422852377,
        0.269154851264943,
        0.2694189602446483,
        0.26968306922435364,
        0.26994717820405895,
        0.27021128718376425,
        0.27047539616346955,
        0.27073950514317485,
        0.27100361412288015,
        0.27126772310258546,
        0.2715318320822908,
        0.2717959410619961,
        0.2720600500417014,
        0.2723241590214067,
        0.272588268001112,
        0.2728523769808173,
        0.2731164859605226,
        0.273380594940228,
        0.2736447039199333,
        0.2739088128996386,
        0.2741729218793439,
        0.2744370308590492,
        0.2747011398387545,
        0.2749652488184598,
        0.27522935779816515,
        0.27549346677787045,
        0.27575757575757576,
        0.27602168473728106,
        0.27628579371698636,
        0.27654990269669166,
        0.27681401167639696,
        0.2770781206561023,
        0.2773422296358076,
        0.2776063386155129,
        0.27787044759521823,
        0.27813455657492353,
        0.27839866555462883,
        0.27866277453433413,
        0.2789268835140395,
        0.2791909924937448,
        0.2794551014734501,
        0.2797192104531554,
        0.2799833194328607,
        0.280247428412566,
        0.2805115373922713,
        0.28077564637197666,
        0.28103975535168196,
        0.28130386433138727,
        0.28156797331109257,
        0.28183208229079787,
        0.28209619127050317,
        0.2823603002502085,
        0.28262440922991383,
        0.28288851820961913,
        0.28315262718932444,
        0.28341673616902974,
        0.28368084514873504,
        0.28394495412844034,
        0.28420906310814564,
        0.284473172087851,
        0.2847372810675563,
        0.2850013900472616,
        0.2852654990269669,
        0.2855296080066722,
        0.2857937169863775,
        0.2860578259660828,
        0.28632193494578817,
        0.28658604392549347,
        0.2868501529051988,
        0.2871142618849041,
        0.2873783708646094,
        0.2876424798443147,
        0.28790658882402,
        0.28817069780372534,
        0.28843480678343064,
        0.28869891576313594,
        0.28896302474284125,
        0.28922713372254655,
        0.28949124270225185,
        0.28975535168195715,
        0.2900194606616625,
        0.2902835696413678,
        0.2905476786210731,
        0.2908117876007784,
        0.2910758965804837,
        0.291340005560189,
        0.2916041145398943,
        0.2918682235195997,
        0.292132332499305,
        0.2923964414790103,
        0.2926605504587156,
        0.2929246594384209,
        0.2931887684181262,
        0.2934528773978315,
        0.29371698637753685,
        0.29398109535724215,
        0.29424520433694745,
        0.29450931331665275,
        0.29477342229635806,
        0.29503753127606336,
        0.29530164025576866,
        0.295565749235474,
        0.2958298582151793,
        0.2960939671948846,
        0.2963580761745899,
        0.2966221851542952,
        0.29688629413400053,
        0.29715040311370583,
        0.2974145120934112,
        0.2976786210731165,
        0.2979427300528218,
        0.2982068390325271,
        0.2984709480122324,
        0.2987350569919377,
        0.298999165971643,
        0.29926327495134836,
        0.29952738393105366,
        0.29979149291075896,
        0.30005560189046426,
        0.30031971087016957,
        0.30058381984987487,
        0.30084792882958017,
        0.3011120378092855,
        0.30137614678899083,
        0.30164025576869613,
        0.30190436474840143,
        0.30216847372810673,
        0.30243258270781204,
        0.30269669168751734,
        0.3029608006672227,
        0.303224909646928,
        0.3034890186266333,
        0.3037531276063386,
        0.3040172365860439,
        0.3042813455657492,
        0.3045454545454545,
        0.30480956352515987,
        0.30507367250486517,
        0.30533778148457047,
        0.30560189046427577,
        0.3058659994439811,
        0.3061301084236864,
        0.3063942174033917,
        0.30665832638309704,
        0.30692243536280234,
        0.30718654434250764,
        0.30745065332221294,
        0.30771476230191824,
        0.30797887128162355,
        0.30824298026132885,
        0.3085070892410342,
        0.3087711982207395,
        0.3090353072004448,
        0.3092994161801501,
        0.3095635251598554,
        0.3098276341395607,
        0.310091743119266,
        0.3103558520989714,
        0.3106199610786767,
        0.310884070058382,
        0.3111481790380873,
        0.3114122880177926,
        0.3116763969974979,
        0.3119405059772032,
        0.31220461495690854,
        0.31246872393661385,
        0.31273283291631915,
        0.31299694189602445,
        0.31326105087572975,
        0.31352515985543505,
        0.31378926883514036,
        0.3140533778148457,
        0.314317486794551,
        0.3145815957742563,
        0.3148457047539616,
        0.3151098137336669,
        0.3153739227133722,
        0.3156380316930776,
        0.3159021406727829,
        0.3161662496524882,
        0.3164303586321935,
        0.3166944676118988,
        0.3169585765916041,
        0.3172226855713094,
        0.31748679455101475,
        0.31775090353072005,
        0.31801501251042535,
        0.31827912149013066,
        0.31854323046983596,
        0.31880733944954126,
        0.31907144842924656,
        0.3193355574089519,
        0.3195996663886572,
        0.3198637753683625,
        0.3201278843480678,
        0.32039199332777313,
        0.32065610230747843,
        0.32092021128718373,
        0.3211843202668891,
        0.3214484292465944,
        0.3217125382262997,
        0.321976647206005,
        0.3222407561857103,
        0.3225048651654156,
        0.3227689741451209,
        0.32303308312482626,
        0.32329719210453156,
        0.32356130108423686,
        0.32382541006394217,
        0.32408951904364747,
        0.32435362802335277,
        0.32461773700305807,
        0.32488184598276343,
        0.32514595496246873,
        0.32541006394217403,
        0.32567417292187933,
        0.32593828190158464,
        0.32620239088128994,
        0.32646649986099524,
        0.3267306088407006,
        0.3269947178204059,
        0.3272588268001112,
        0.3275229357798165,
        0.3277870447595218,
        0.3280511537392271,
        0.3283152627189324,
        0.32857937169863777,
        0.32884348067834307,
        0.32910758965804837,
        0.3293716986377537,
        0.329635807617459,
        0.3298999165971643,
        0.3301640255768696,
        0.33042813455657494,
        0.33069224353628024,
        0.33095635251598554,
        0.33122046149569084,
        0.33148457047539615,
        0.33174867945510145,
        0.33201278843480675,
        0.3322768974145121,
        0.3325410063942174,
        0.3328051153739227,
        0.333069224353628,
        0.3333333333333333
      ],
      "fit_improvement": [
        329.2718319143006,
        333.59276771781305,
        338.1848328209956,
        343.0566406766774,
        348.21569424634015,
        353.6680552648406,
        359.4179614323408,
        365.467388024677,
        371.8155517130394,
        378.45835638606223,
        385.3877836560521,
        392.5912347006251,
        400.0508353274991,
        407.7427228019063,
        415.6363411084395,
        423.69378085482924,
        431.8692106675592,
        440.10845807488636,
        448.34880852528454,
        456.51909989127444,
        464.5401946278647,
        472.32591035867614,
        479.78447952772086,
        486.82058754233424,
        493.33800494046915,
        499.2427823567128,
        504.44691935987134,
        508.8723541446763,
        512.4550578713048,
        515.1489646495726,
        516.9294361574157,
        517.7959580080733,
        517.7737992502169,
        516.9144374835937,
        515.2946542860246,
        513.014327234119,
        510.1930698989022,
        506.96598288633163,
        503.4788626773376,
        499.88326120619274,
        496.33179478960494,
        492.97406938156996,
        489.9535279065937,
        487.4054444418464,
        485.45619883769234,
        484.2238716395334,
        483.8201080678332,
        484.35311444863356,
        485.93157305931794,
        488.6691944084006,
        492.68957328220455,
        498.1309815580903,
        505.15072232992736,
        513.9286906094175,
        524.669836864414,
        537.6053073210119,
        552.9921305175518,
        571.1114201456495,
        592.2651550772357,
        616.771665347007,
        644.9599887428137,
        677.1632638083827,
        713.7112954147987,
        754.9223781526175,
        801.0944037260872,
        852.4952255433586,
        909.3522201192242,
        971.8409817124186,
        1040.073121683818,
        1114.0832218713626,
        1193.815112749992,
        1279.1078092554458,
        1369.6816321883646,
        1465.125257637553,
        1564.8846506400216,
        1668.2550247893423,
        1774.3770925555104,
        1882.2388935466122,
        1990.6843727687026,
        2098.429599623999,
        2204.0870600246894,
        2306.1978340351,
        2403.2707375088603,
        2493.8267380398784,
        2576.446257160435,
        2649.8164540820812,
        2712.7753494801427,
        2764.349752444231,
        2803.784407796874,
        2830.5605332281675,
        2844.4028635227323,
        2845.2753290021574,
        2833.366429785501,
        2809.066111932906,
        2772.936433231761,
        2725.6785022197673,
        2668.0981067089156,
        2601.072173549358,
        2525.517792422228,
        2442.3650668217,
        2352.5345878823964,
        2256.9199065785447,
        2156.375033207301,
        2051.706729204091,
        1943.6711718347917,
        1832.974456025569,
        1720.2763349676482,
        1606.1965774518433,
        1491.3233222557906,
        1376.2228281410435,
        1261.4500447111536,
        1147.5594595025432,
        1035.115707027704,
        924.7034542223082,
        816.9361031189981,
        712.4628758905187,
        611.9738711658752,
        516.2027065812563,
        425.92639519427496,
        341.9621483192611,
        265.16086109054464,
        196.39712629272833,
        136.55574231174518,
        86.51483555041982,
        47.12590534863715,
        19.191313919181106,
        3.4399722539656117,
        0.5021961506872933,
        10.88489995459941,
        34.948432003214144,
        72.88640873959737,
        124.70985313796923,
        190.23677663451116,
        269.0880650140338,
        360.69015583029505,
        464.28456041437244,
        578.9438303396726,
        703.5931437602326,
        837.0363358843377,
        977.9849548262663,
        1125.0888092031314,
        1276.9664899968247,
        1432.2344829694098,
        1589.5337131365739,
        1747.5526458226018,
        1905.046374306076,
        2060.851420147503,
        2213.8962342518284,
        2363.2075988825204,
        2507.9132866823306,
        2647.2414336240427,
        2780.517135824801,
        2907.1567957253287,
        3026.6607326790013,
        3138.6045470683475,
        3242.629694125339,
        3338.4336894426697,
        3425.7603357902667,
        3504.390331071467,
        3574.1325892187924,
        3634.8165777917416,
        3686.285945981795,
        3728.3936828105466,
        3760.999006072476,
        3783.9661369775913,
        3797.1650627508634,
        3800.474329077612,
        3793.785835801252,
        3777.011532436535,
        3750.0918250660943,
        3713.0054141022288,
        3665.7801856197502,
        3608.5046816979075,
        3541.3395837553976,
        3464.528565636041,
        3378.407820307957,
        3283.4135463386992,
        3180.0867079989875,
        3069.0744636556547,
        2951.1277943686555,
        2827.0950555605423,
        2697.9114094290867,
        2564.584357501184,
        2428.17585867586,
        2289.781762342508,
        2150.509483002157,
        2011.4549706334908,
        1873.6800756706778,
        1738.1913644907277,
        1605.921316779609,
        1477.7126454636307,
        1354.30624525581,
        1236.3330227629517,
        1124.3096145732068,
        1018.6377811692752,
        919.6070893407253,
        827.4003725252255,
        742.101388955131,
        663.7040777144424,
        592.1228348793921,
        527.2032856413689,
        468.73310292572387,
        416.4525084611184,
        370.06418002544524,
        329.242372193005,
        293.6411328944874,
        262.90156191956976,
        236.65810913062458,
        214.54394976001393,
        196.19550264572126,
        181.25617596953902,
        169.37943551980837,
        160.23129421388387,
        153.49231996344758,
        148.8592531415281,
        146.04631591088744,
        144.7862843186961,
        144.8313810339128,
        145.9540324929002,
        147.9475195762817,
        150.62653631920173,
        153.82765714521855,
        157.40970034678264,
        161.25396468950728,
        165.26430778046637,
        169.36702985557662,
        173.51052543273286,
        177.66466816831075,
        181.8199012825495,
        185.98601677301582,
        190.19062062460785,
        194.47729729847617,
        198.9035036009265,
        203.53823809189902,
        208.4595459830326,
        213.751929663957,
        219.50374058841032,
        225.8046287201686,
        232.7431210820229,
        240.4043916879225,
        248.86827222854922,
        258.20753759029867,
        268.4864840259465,
        279.7598019455614,
        292.07173106949944,
        305.45547401394236,
        319.9328358585463,
        335.5140521251575,
        352.1977658119007,
        369.9711153614052,
        388.80989920127223,
        408.6787881854533,
        429.531564263358,
        451.3113714107722,
        473.95097273764935,
        497.37301528963184,
        521.4903110190534,
        546.2061484338269,
        571.4146543247958,
        597.0012285591758,
        622.8430770804612,
        648.8098688675104,
        674.7645415893455,
        700.5642779818841,
        726.0616705361673,
        751.1060859456518,
        775.5452330098859,
        799.2269285304018,
        822.0010454782429,
        843.7216168054402,
        864.2490572831048,
        883.4524553430184,
        901.2118778034459,
        917.4206232948619,
        931.9873558177454,
        944.838048664038,
        955.9176712050712,
        965.19155681819,
        972.6463992365943,
        978.2908363404998,
        982.1555941214489,
        984.2931783657109,
        984.7771165938436,
        983.7007670967794,
        981.1757248065695,
        977.3298647261224,
        972.3050724492057,
        966.2547178923355,
        959.3409328796215,
        951.7317559308137,
        943.598208796004,
        935.1113692104757,
        926.4395031668292,
        917.7453177539816,
        909.183392217511,
        900.8978402055795,
        893.0202500255879,
        885.6679420575396,
        878.9425732895355,
        872.9291084655955,
        867.6951659532808,
        863.2907346886991,
        859.7482470773292,
        857.0829821787939,
        855.2937644777265,
        854.3639164996532,
        854.2624187408236,
        854.9452279029015,
        856.3567041160256,
        858.4310993919815,
        861.0940625638742,
        864.2641199924817,
        867.8540959357495,
        871.7724413527844,
        875.9244448364989,
        880.2133042646485,
        884.5410426813771,
        888.8092570230176,
        892.9196937889744,
        896.774651832652,
        900.2772192495215,
        903.3313588941849,
        905.8418652376436,
        907.7142237792606,
        908.8544125877512,
        909.1686931561699,
        908.5634439240401,
        906.9450938254138,
        904.2202143887903,
        900.2958266759452,
        895.0799732998642,
        888.4825957163035,
        880.4167429907965,
        870.8001206198146,
        859.5569673280683,
        846.6202249560804,
        831.9339427619085,
        815.4558341213869,
        797.1598823796153,
        777.0388752775565,
        755.1067357618814,
        731.4005127352596,
        705.9818997072168,
        678.9381630719556,
        650.3823848081829,
        620.4529558064679,
        589.3122938988108,
        557.144802289926,
        524.1541261831499,
        490.5598044349832,
        456.5934457138425,
        422.494582123445,
        388.50636574863756,
        354.8712744058427,
        321.8269825376819,
        289.6025332664921,
        258.41492051950047,
        228.46615873998206,
        199.9408849861217,
        173.0045069322481,
        147.80188265968883,
        124.4564957185042,
        103.07007259514968,
        83.72257958663307,
        66.47253173761051,
        51.35754710151234,
        38.395084046519834,
        27.583306458475427,
        18.902030358339395,
        12.313714667257374,
        7.764467853442086,
        5.185050471105431,
        4.491860892897853,
        5.587897805365457,
        8.363698411077982,
        12.69825598982298,
        18.459924767016815,
        25.507324123825995,
        33.69025815422951,
        42.850670372144506,
        52.82365677236575,
        63.43856307315083,
        74.5201933208245,
        85.8901565702442,
        97.36837554894524,
        108.77477566222512,
        119.93116419787815,
        130.66329821501796,
        140.80312574965973,
        150.19116938279552,
        158.679004956693,
        166.13177260551038,
        172.43064373831743,
        177.47515761614886,
        181.18533595811914,
        183.5034845031381,
        184.39559705990894,
        183.85229013447196,
        181.88921396930522,
        178.54690746432402,
        173.89008828614578,
        168.00639361794248,
        161.0046095940374,
        153.01244688034376,
        144.17393490213365,
        134.6465172110497,
        124.59793530951683,
        114.20298830887879,
        103.6402518832542,
        93.08883313534716,
        82.72522933403512,
        72.72034906017042,
        63.23674495127635,
        54.426098534564524,
        46.426989844028874,
        39.36297761251434,
        33.3410095754941,
        28.450176453806,
        24.76081710668122,
        22.32397584948348,
        21.17120585569648,
        21.314704963856137,
        22.747762364244835,
        25.445487021247878,
        29.365781901741908,
        34.4505227770103,
        40.626897134740766,
        47.80885801084291,
        55.89864952472877,
        64.78836549315,
        74.36150933656205,
        84.49453195444713,
        95.0583335205279,
        105.91972432471992,
        116.94284795677608,
        127.99057647631145,
        138.92589111903615,
        149.61326317205854,
        159.92004782152475,
        169.71789923903313,
        178.8842084119453,
        187.30355694887638,
        194.8691711774142,
        201.4843522401251,
        207.0638505061974,
        211.53514724662867,
        214.83960376173616,
        216.93343832257213,
        217.78849441393913,
        217.39276957089396,
        215.7506820517733,
        212.88306197171534,
        208.82686351902888,
        203.63460468238938,
        197.37354981140615,
        190.12465776198835,
        181.981323992559,
        173.04794864870874,
        163.4383644746548,
        153.27415855487072,
        142.68292075923594,
        131.79644972801717,
        120.748944666702,
        109.6752084493215,
        98.70888479268325,
        87.98074970917615,
        77.61707512898997,
        67.73808049022361,
        58.45648617002031,
        49.87618080218692,
        42.09101274251492,
        35.183714184983415,
        29.224964730138062,
        24.27259963691208,
        20.370966658754618,
        17.550434391167006,
        15.82705453804901,
        15.202380487457255,
        15.663445048999334,
        17.18290103218919,
        19.719329334117486,
        23.217720074039878,
        27.610132728991264,
        32.816540843167886,
        38.745865393726284,
        45.29719806871257,
        52.36121144725368,
        59.82174742438213,
        67.55756842243022,
        75.44424837385203,
        83.35617268071492,
        91.1686089763082,
        98.7598041815373,
        106.01305866261129,
        112.81872574088146,
        119.07608469142193,
        124.69503779615532,
        129.59758687344282,
        133.7190516703498,
        137.0090010971716,
        139.43187792515988,
        140.9673076414618,
        141.61009207363867,
        141.3698976578842,
        140.27065644914413,
        138.34970491469275,
        135.6566911059358,
        132.25228496938988,
        128.2067294206852,
        123.59827149159909,
        118.51151350368336,
        113.03572393703917,
        107.26314652627205,
        101.2873441648518,
        95.2016114405543,
        89.09748605396848,
        83.06338499925624,
        77.1833862622122,
        71.53617102824404,
        66.19413518008781,
        61.22267246511336,
        56.67962545028924,
        52.61489462165716,
        49.07019108998736,
        46.078914665044906,
        43.66613681442301,
        41.84866738202593,
        40.63518493323248,
        40.0264131123084,
        40.015329208290126,
        40.5873958833323,
        41.7208122956677,
        43.38678617450662,
        45.549833296202095,
        48.168114822499106,
        51.19382571523987,
        54.573648661296104,
        58.24928747582649,
        62.15809178856185,
        66.23378108556568,
        70.40727113854057,
        74.60759987716146,
        78.762943299152,
        82.8017055616439,
        86.65366144839624,
        90.2511244099382,
        93.53010969616325,
        96.43146000211065,
        98.90190065997987,
        100.89499273596817,
        102.3719553102481,
        103.30233251182537,
        103.66448625247526,
        103.44590171733279,
        102.64329917213193,
        101.26255219976332,
        99.3184187752172,
        96.83409736751362,
        93.84062531081432,
        90.37614085753977,
        86.48503350606623,
        82.21700932036778,
        77.62609900401381,
        72.7696364673093,
        67.70723457886353,
        62.49978280064195,
        57.20848858176978,
        51.89398087906198,
        46.61549016190259,
        41.43011495464116,
        36.39218059938194,
        31.552691722930014,
        26.958876093852965,
        22.653814367056956,
        18.6761478029928,
        15.059854533024762,
        11.834084374449532,
        9.023042562097379,
        6.6459139733548485,
        4.716821331781407,
        3.244813281919336,
        2.2338808988083216,
        1.6830038775908003,
        1.5862300906848557,
        1.9327941732145766,
        2.7072821105881766,
        3.8898493160407503,
        5.456499322325132,
        7.379428957932839,
        9.627443787228701,
        12.166444779708314,
        14.959983803020677,
        17.969881815737466,
        21.156899805332486,
        24.48144882392177,
        27.904322166585306,
        31.387430045135822,
        34.894515233997616,
        38.39182726103858,
        41.848732888471126,
        45.238241919718575,
        48.53742975542248,
        51.72774151709157,
        54.79516681013248,
        57.73027910351544,
        60.528139012176844,
        63.18806620255971,
        65.71328991222346,
        68.11049289876216,
        70.3892677549587,
        72.56150773144634,
        74.6407563368355,
        76.641540944398,
        78.57871539991243,
        80.46683524088456,
        82.31958670973594,
        84.14928743238025,
        85.96647263894408,
        87.77957635280282,
        89.5947123077352,
        91.41555471108941,
        93.24331458147591,
        95.07680345901494,
        96.91257299009038,
        98.74511636601743,
        100.56711594218588,
        102.36972063197199,
        104.1428368596219,
        105.87541792192467,
        107.55573845537533,
        109.1716431967844,
        110.71076218793922,
        112.16068781017472,
        113.50911233048484,
        114.7439277852386,
        115.85329282371524,
        116.82567341279673,
        117.64986593679009,
        118.31501213037342,
        118.81061542744658,
        119.1265677145246,
        119.25319421245456,
        119.18132238302093,
        118.90237850771803,
        118.4085130753736,
        117.69275351555787,
        116.7491802967818,
        115.57312013493596,
        114.16134817111978,
        112.51228959687046,
        110.62621041376815,
        108.50538686121558,
        106.15424353880951,
        103.57945135436134,
        100.78997807212676,
        97.79708631029837,
        94.6142762058625,
        91.25717247473727,
        87.74335808508935,
        84.09215907743432,
        80.32438707019506,
        76.46204757589433,
        72.52802334928083,
        68.54574256225156,
        64.5388416597021,
        60.53083233924424,
        56.5447812895554,
        52.60301020997655,
        48.72682232123041,
        44.936260166433705,
        41.24989808723982,
        37.684671420345595,
        34.255743253543926,
        30.976408545152356,
        27.858034562710397,
        24.910035934628315,
        22.139882116440525,
        19.55313472651497,
        17.153511974574315,
        14.942977260129549,
        12.921848929479225,
        11.08892812705909,
        9.441641643678135,
        7.976196640915731,
        6.687744113820126,
        5.5705479434963205,
        4.618156391147319,
        3.823572901149931,
        3.1794231195633795,
        2.678115102889278,
        2.3119897969400367,
        2.0734590141023257,
        1.95512833582965,
        1.9499026223650773,
        2.051072129201051,
        2.2523776141617744,
        2.5480532722008915,
        2.9328468555481058,
        3.4020169184134867,
        3.9513077559682763,
        4.576903268701134,
        5.275361651412951,
        6.043533452276502,
        6.878466139844433,
        7.777298822600994,
        8.737151156811928,
        9.755010729812827,
        10.827623300493002,
        11.951390209110297,
        13.122277036809328,
        14.335737212830022,
        15.586653753661771,
        16.869301698324417,
        18.177333105695666,
        19.503785732431542,
        20.84111574125646,
        22.18125402474501,
        23.515684991555865,
        24.835545970158144,
        26.13174475684287,
        27.39509228670986,
        28.61644695371934,
        29.786866764087588,
        30.89776529024327,
        31.94106731221438,
        32.909360097608534,
        33.79603648240486,
        34.5954262667819,
        35.30291291851352,
        35.91503315676654,
        36.429557638811005,
        36.84555165190387,
        37.163415380004764,
        37.38490392794269,
        37.513127807190436,
        37.55253498843361,
        37.508875889714176,
        37.38915279058028,
        37.20155515190832,
        36.95538219909338,
        36.660953924337264,
        36.329511418990435,
        35.973107198917916,
        35.604485972128856,
        35.23695615062581,
        34.88425235107022,
        34.56038917451791,
        34.279506706018694,
        34.05570842143867,
        33.90289251331675,
        33.83457802511103,
        33.86372758541089,
        34.00256893184173,
        34.26241778246066,
        34.65350492976437,
        35.184810685003725,
        35.86390998139063,
        36.69683155344627,
        37.6879346495515,
        38.83980671091727,
        40.1531853662385,
        41.62690794662688,
        43.257891513205706,
        45.04114609638671,
        46.96982345153658,
        49.03530311716111,
        51.227316895543645,
        53.53411204369571,
        55.94265245620517,
        58.43885594754849,
        61.007864424668234,
        63.634342325949774,
        66.30279725460458,
        68.99791533335635,
        71.70490254427972,
        74.40982228638222,
        77.09991867242873,
        79.76391476912441,
        82.39227511345973,
        84.97742243753808,
        87.5138996002331,
        89.99846922284883,
        92.43014539858257,
        94.81015401262523,
        97.1418205788122,
        99.43038697075369,
        101.68276090145744,
        103.90720439078548,
        106.1129696678151,
        108.3098929066513,
        110.50795782061697,
        112.71684238005071,
        114.94546272169946,
        117.20152864083947,
        119.49112487073681,
        121.8183316434469,
        124.18489679601235,
        126.58996996554131,
        129.02990726108322,
        131.498152292519,
        133.9851966869188,
        136.47862036177943,
        138.9632089972362,
        141.421143504416,
        143.83225396511264,
        146.17432864074465,
        148.42346730878856,
        150.55446743872918,
        152.54123158347795,
        154.35718481198057,
        155.97569198415394,
        157.3704660791914,
        158.51596052008844,
        159.38774036556393,
        159.96282923591755,
        160.2200307770552,
        160.14022523274315,
        159.70664319036504,
        158.90511971105576,
        157.7243327915114,
        156.15603039514085,
        154.1952501184771,
        151.84053493055157,
        149.09414736413373,
        145.96228309444948,
        142.45528307795823,
        138.58784142344464,
        134.37920402850702,
        129.8533508489782,
        125.03915260071838,
        119.97049085398746,
        114.68632900575983,
        109.23072063781682,
        103.65274141308086,
        98.00633103777314,
        92.35003300459945,
        86.746621879877,
        81.26261080646039,
        75.96763561255761,
        70.93371633087341,
        66.23440186809233,
        61.943808786369566,
        58.135570382195226,
        54.881717155591566,
        52.25151402623345,
        50.31028296117788,
        49.11824176618504,
        48.7293904676693,
        49.19047587995521,
        50.54006262806126,
        52.807735208165866,
        56.01345084896234,
        60.16705730365046,
        65.26798362461142,
        71.30510584032389,
        78.2567836390899,
        86.09105898981645,
        94.76600334493781,
        104.23019683387592,
        114.42332073219863,
        125.27684346013517,
        136.71478032915095,
        148.65450806945378,
        161.00761665757295,
        173.68078293591606,
        186.5766528004426,
        199.59472117574813,
        212.63220147601325,
        225.58487867235823,
        238.34794238336593,
        250.81679852520736,
        262.88785995558135,
        274.45931817575195,
        285.43189946181667,
        295.70960971370164,
        305.2004727621947,
        313.8172667819954,
        321.478262750667,
        328.1079675191258,
        333.63787200285,
        338.00720229612926,
        341.16366824485306,
        343.0642003394356,
        343.675661925082,
        342.975519943246,
        340.9524540261789,
        337.6068810950277,
        332.95137097860606,
        327.01092825126796,
        319.82311668596526,
        311.43800553332335,
        301.9179212438558,
        291.33699409000144,
        279.7804961240511,
        267.3439746209318,
        254.13219310896375,
        240.25789975491116,
        225.84044971842079,
        211.0043136604897,
        195.8775085210995,
        180.58998875124553,
        165.2720363292004,
        150.05268620160973,
        135.05822049954122,
        120.41076032759581,
        106.22697851943164,
        92.61695092463832,
        79.68315794945099,
        67.51964256749089,
        56.21132611402788,
        45.83347904840632,
        36.45134058664562,
        28.11987865526592,
        20.88367991626174,
        14.776958536527575,
        9.823671780221309,
        6.037730254130783,
        3.4232906237591223,
        1.9751187695057153,
        1.6790116373829322,
        2.5122664647959696,
        4.444186664242071,
        7.436614474227802,
        11.444481581009523,
        16.416370300234956,
        22.29507957408231,
        29.018191936126453,
        36.518639628634396,
        44.725270093938775,
        53.56341294344441,
        62.95545206366844,
        72.82140758266421,
        83.07953285064995,
        93.64693128556436,
        104.44019685353655,
        115.37608011682178,
        126.3721792792237,
        137.3476526492372,
        148.22394564041684,
        158.92552209571537,
        169.38058663768683,
        179.52178218657554,
        189.28684500130876,
        198.6191987792681,
        207.468469619957,
        215.79090505057175,
        223.54968277092857,
        230.71509815928965,
        237.26462367416175,
        243.18283782534985,
        248.4612260792459,
        253.09786061979827,
        257.0969700452273,
        260.46841362509315,
        263.227077516259,
        265.3922122477818,
        266.9867318063813,
        268.03649481359747,
        268.56958765645027,
        268.6156281198603,
        268.20510619449914,
        267.3687764281823,
        266.1371135813824,
        264.53984055868364,
        262.6055347284616,
        260.3613159115648,
        257.83261660243267,
        255.04303245891998,
        252.0142488239997,
        248.76603707719036,
        245.31631299731296,
        241.68124807996668,
        237.8754239078074,
        233.91201922038823,
        229.80301925973896,
        225.55943725220465,
        221.19153848942665,
        216.7090583468983,
        212.1214066765363,
        207.4378522769827,
        202.66768252805838,
        197.8203347211534,
        192.9054970744252,
        187.93317884190782,
        182.91375026284106,
        177.85795430750088,
        172.77689321785383,
        167.68199367821995,
        162.58495505122514,
        157.49768545464548,
        152.43223052150947,
        147.40069947968547,
        142.41519272187733,
        137.48773434264913,
        132.6302122402376,
        127.85432737440172,
        123.17155270418306,
        118.59310127197993,
        114.1299019242145,
        109.79258032928391,
        105.59144232633095,
        101.53645625496189,
        97.63723080127522,
        93.90298505580002,
        90.34250790201827,
        86.96410451049141,
        83.7755285578713,
        80.78389976514762,
        77.99560738957032,
        75.41620134059988,
        73.05027355425581,
        70.90133309077156,
        68.97167906752807,
        67.26227596776295,
        65.77263605786449,
        64.5007136039348,
        63.44281532052453,
        62.59353104539432,
        61.945688058486596,
        61.490331800860204,
        61.21673504872369,
        61.112436901002276,
        61.16331227651622,
        61.353672005348926,
        61.666393039706584,
        62.083077790756874,
        62.58424109799438,
        63.14952283071506,
        63.75792358253008,
        64.38806033331876,
        65.0184383139334,
        65.62773463090338,
        66.19508852088218,
        66.70039245504273,
        67.12457776109389,
        67.44988804107872,
        67.66013350083847,
        67.74091942700989,
        67.67984248684289,
        67.4666492988645,
        67.09335281521263,
        66.55430342802742,
        65.8462132971742,
        64.96813410908415,
        63.9213902204211,
        62.70947081533382,
        61.33788621739904,
        59.813994765120505,
        58.146807619552334,
        56.346779481043406,
        54.425593427675686,
        52.39594794880696,
        50.271353748398376,
        48.06594706425591,
        45.79432513157857,
        43.47140806165164,
        41.112329866146545,
        38.73235969672031,
        36.34685265717389,
        33.97122785404382,
        31.620969757517987,
        29.311647525201398,
        27.058945771161355,
        24.878699410413216,
        22.78692473141951,
        20.79983878788674,
        18.933859577987516,
        17.20558029365906,
        15.631712151172179,
        14.228991909915166,
        13.01405208172331,
        12.003253942452226,
        11.212485681247696,
        10.656930251347646,
        10.350809603889894,
        10.307113876063665,
        10.537325652851681,
        11.05115052116098,
        11.856265692908236,
        12.958098415995442,
        14.359645171680842,
        16.061341260152613,
        18.06098832985241,
        20.353744781813432,
        22.932180896616202,
        25.786397151145938,
        28.904200715545667,
        32.2713317733263,
        35.87172832452354,
        39.68781573875233,
        43.70080571826058,
        47.89098865903682,
        52.23800374679908,
        56.721072508100214,
        61.3191838936037,
        66.0112221684674,
        70.77603272902863,
        75.5924252145963,
        80.43911766668244,
        85.29462972427874,
        90.13713665919374,
        94.94429920248211,
        99.69308638366677,
        104.35960984426637,
        108.91898820196198,
        113.34525900569521,
        117.61135367824431,
        121.68914770353327,
        125.54959435600526,
        129.1629457183036,
        132.4990598608123,
        135.52778815526761,
        138.2194320623214,
        140.5452546496363,
        142.47802880694144,
        143.9926018178335,
        145.06645474885534,
        145.68023507542637,
        145.81824205842128,
        145.46884652360632,
        144.6248297289528,
        143.28362973925974,
        141.44748794108784,
        139.12349278914905,
        136.32352234274896,
        133.0640914058957,
        129.36611292437019,
        125.25458654280915,
        120.75822973996993,
        115.90906863135875,
        110.74200628227214,
        105.29438617880528,
        99.60556736955944,
        93.71652577219928,
        87.66949333823838,
        81.50764333364194,
        75.2748261092845,
        69.01535562596429,
        62.77384290701034,
        56.59506876962172,
        50.52388487876752,
        44.60512959459727,
        38.88354342619748,
        33.403668287993,
        28.209715244326294,
        23.34538701812066,
        18.853644158496586,
        14.776407271304688,
        11.154191920714563,
        8.025677467710858,
        5.427215948495876,
        3.3922918207426607,
        1.9509477257610137,
        1.1291950527525678,
        0.9484308027454501,
        1.424883837606247,
        2.5691139290357743,
        4.385586032135858,
        6.87233991746678,
        10.02077180739895,
        13.815540160531791,
        18.23460248704558,
        23.2493843696932,
        28.82507605751652,
        34.92104645284298,
        41.49135937326169,
        48.48537294723566,
        55.84840014109611,
        63.52240688292109,
        71.44672412036095,
        79.5587514045261,
        87.79463211648468,
        96.08988405058149,
        104.37997347545345,
        112.6008256971546,
        120.68927021254076,
        128.5834234245948,
        136.22301627453848,
        143.5496777465651,
        150.5071877938343,
        157.0417146606503,
        163.10205175284668,
        168.63986813372853,
        173.60998447294492,
        177.97068300019063,
        181.68405593132394,
        184.71639220957422,
        187.0385975464934,
        188.62663798221953,
        189.4619928399345,
        189.53209933132908,
        188.83076844473817,
        187.35855032227607,
        185.12302723860338,
        182.13901357759687,
        178.42864481805634,
        174.02134134766675,
        168.9536377055848,
        163.26887331739277,
        157.0167465949247
      ],
      "counting_noise_perturbation_10_90percent_km": [
        16.52653342522398,
        16.598984771573605
      ],
      "perturbation_trials": 256,
      "seed": 1010,
      "reduced_chi_squared": 103.67907979880275,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    },
    {
      "radius_window_km": [
        125410,
        125490
      ],
      "points": 80,
      "minimum_searched_wavelength_km": 3,
      "dominant_spatial_wavelength_km": 5.942998760842627,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016930775646371975,
        0.017194884626077288,
        0.017458993605782597,
        0.017723102585487906,
        0.017987211565193215,
        0.018251320544898527,
        0.018515429524603836,
        0.018779538504309145,
        0.019043647484014457,
        0.019307756463719766,
        0.019571865443425075,
        0.019835974423130384,
        0.020100083402835697,
        0.020364192382541006,
        0.020628301362246318,
        0.020892410341951627,
        0.021156519321656936,
        0.021420628301362245,
        0.021684737281067557,
        0.021948846260772866,
        0.022212955240478175,
        0.022477064220183487,
        0.022741173199888796,
        0.023005282179594105,
        0.023269391159299414,
        0.023533500139004727,
        0.023797609118710036,
        0.024061718098415345,
        0.024325827078120657,
        0.024589936057825966,
        0.024854045037531275,
        0.025118154017236584,
        0.025382262996941896,
        0.025646371976647205,
        0.025910480956352518,
        0.026174589936057827,
        0.026438698915763136,
        0.026702807895468444,
        0.026966916875173753,
        0.027231025854879066,
        0.027495134834584375,
        0.027759243814289687,
        0.028023352793994996,
        0.028287461773700305,
        0.028551570753405614,
        0.028815679733110923,
        0.029079788712816235,
        0.029343897692521544,
        0.029608006672226857,
        0.029872115651932166,
        0.030136224631637475,
        0.030400333611342784,
        0.030664442591048093,
        0.030928551570753405,
        0.031192660550458717,
        0.031456769530164026,
        0.031720878509869335,
        0.031984987489574644,
        0.03224909646927995,
        0.03251320544898527,
        0.03277731442869057,
        0.03304142340839589,
        0.033305532388101196,
        0.033569641367806505,
        0.033833750347511814,
        0.03409785932721712,
        0.03436196830692244,
        0.03462607728662774,
        0.034890186266333056,
        0.035154295246038365,
        0.035418404225743674,
        0.03568251320544898,
        0.03594662218515429,
        0.03621073116485961,
        0.03647484014456491,
        0.036738949124270226,
        0.037003058103975535,
        0.037267167083680844,
        0.03753127606338615,
        0.03779538504309146,
        0.03805949402279678,
        0.03832360300250208,
        0.038587711982207396,
        0.038851820961912704,
        0.03911592994161801,
        0.03938003892132333,
        0.03964414790102863,
        0.03990825688073395,
        0.04017236586043925,
        0.040436474840144565,
        0.040700583819849874,
        0.04096469279955518,
        0.0412288017792605,
        0.0414929107589658,
        0.04175701973867112,
        0.04202112871837642,
        0.042285237698081735,
        0.042549346677787044,
        0.04281345565749235,
        0.04307756463719767,
        0.04334167361690297,
        0.043605782596608286,
        0.043869891576313595,
        0.044134000556018904,
        0.04439810953572421,
        0.04466221851542952,
        0.04492632749513484,
        0.04519043647484014,
        0.045454545454545456,
        0.045718654434250765,
        0.045982763413956074,
        0.04624687239366138,
        0.04651098137336669,
        0.04677509035307201,
        0.04703919933277731,
        0.047303308312482625,
        0.047567417292187934,
        0.04783152627189324,
        0.04809563525159856,
        0.04835974423130386,
        0.04862385321100918,
        0.04888796219071448,
        0.049152071170419795,
        0.0494161801501251,
        0.04968028912983041,
        0.04994439810953573,
        0.05020850708924103,
        0.05047261606894635,
        0.05073672504865165,
        0.051000834028356964,
        0.051264943008062266,
        0.05152905198776758,
        0.0517931609674729,
        0.0520572699471782,
        0.052321378926883516,
        0.05258548790658882,
        0.052849596886294134,
        0.053113705865999436,
        0.05337781484570475,
        0.05364192382541007,
        0.05390603280511537,
        0.054170141784820686,
        0.05443425076452599,
        0.054698359744231304,
        0.05496246872393662,
        0.05522657770364192,
        0.05549068668334724,
        0.05575479566305254,
        0.056018904642757855,
        0.05628301362246316,
        0.05654712260216847,
        0.05681123158187379,
        0.05707534056157909,
        0.05733944954128441,
        0.05760355852098971,
        0.057867667500695025,
        0.05813177648040033,
        0.05839588546010564,
        0.05865999443981096,
        0.05892410341951626,
        0.059188212399221576,
        0.05945232137892688,
        0.059716430358632194,
        0.059980539338337496,
        0.06024464831804281,
        0.06050875729774813,
        0.06077286627745343,
        0.061036975257158746,
        0.06130108423686405,
        0.061565193216569364,
        0.061829302196274666,
        0.06209341117597998,
        0.0623575201556853,
        0.0626216291353906,
        0.06288573811509592,
        0.06314984709480122,
        0.06341395607450653,
        0.06367806505421184,
        0.06394217403391715,
        0.06420628301362247,
        0.06447039199332777,
        0.06473450097303309,
        0.06499860995273839,
        0.0652627189324437,
        0.065526827912149,
        0.06579093689185432,
        0.06605504587155964,
        0.06631915485126494,
        0.06658326383097025,
        0.06684737281067556,
        0.06711148179038087,
        0.06737559077008617,
        0.06763969974979149,
        0.0679038087294968,
        0.06816791770920211,
        0.06843202668890742,
        0.06869613566861273,
        0.06896024464831804,
        0.06922435362802336,
        0.06948846260772866,
        0.06975257158743398,
        0.07001668056713928,
        0.0702807895468446,
        0.0705448985265499,
        0.07080900750625521,
        0.07107311648596053,
        0.07133722546566583,
        0.07160133444537115,
        0.07186544342507645,
        0.07212955240478176,
        0.07239366138448707,
        0.07265777036419238,
        0.0729218793438977,
        0.073185988323603,
        0.07345009730330831,
        0.07371420628301362,
        0.07397831526271893,
        0.07424242424242423,
        0.07450653322212955,
        0.07477064220183487,
        0.07503475118154017,
        0.07529886016124548,
        0.07556296914095079,
        0.0758270781206561,
        0.0760911871003614,
        0.07635529608006672,
        0.07661940505977204,
        0.07688351403947734,
        0.07714762301918265,
        0.07741173199888796,
        0.07767584097859327,
        0.07793994995829857,
        0.07820405893800389,
        0.0784681679177092,
        0.07873227689741451,
        0.07899638587711982,
        0.07926049485682513,
        0.07952460383653044,
        0.07978871281623574,
        0.08005282179594106,
        0.08031693077564636,
        0.08058103975535168,
        0.080845148735057,
        0.0811092577147623,
        0.08137336669446761,
        0.08163747567417291,
        0.08190158465387823,
        0.08216569363358353,
        0.08242980261328885,
        0.08269391159299416,
        0.08295802057269946,
        0.08322212955240478,
        0.08348623853211008,
        0.0837503475118154,
        0.0840144564915207,
        0.08427856547122602,
        0.08454267445093133,
        0.08480678343063663,
        0.08507089241034195,
        0.08533500139004725,
        0.08559911036975257,
        0.08586321934945787,
        0.08612732832916319,
        0.0863914373088685,
        0.0866555462885738,
        0.08691965526827912,
        0.08718376424798442,
        0.08744787322768974,
        0.08771198220739504,
        0.08797609118710036,
        0.08824020016680567,
        0.08850430914651097,
        0.08876841812621629,
        0.08903252710592159,
        0.08929663608562691,
        0.08956074506533221,
        0.08982485404503752,
        0.09008896302474284,
        0.09035307200444814,
        0.09061718098415346,
        0.09088128996385876,
        0.09114539894356408,
        0.09140950792326939,
        0.0916736169029747,
        0.09193772588268001,
        0.09220183486238531,
        0.09246594384209063,
        0.09273005282179593,
        0.09299416180150125,
        0.09325827078120656,
        0.09352237976091186,
        0.09378648874061718,
        0.09405059772032248,
        0.0943147067000278,
        0.0945788156797331,
        0.09484292465943842,
        0.09510703363914373,
        0.09537114261884903,
        0.09563525159855435,
        0.09589936057825965,
        0.09616346955796497,
        0.09642757853767027,
        0.09669168751737559,
        0.0969557964970809,
        0.0972199054767862,
        0.09748401445649152,
        0.09774812343619682,
        0.09801223241590214,
        0.09827634139560744,
        0.09854045037531275,
        0.09880455935501807,
        0.09906866833472337,
        0.09933277731442869,
        0.09959688629413399,
        0.0998609952738393,
        0.10012510425354461,
        0.10038921323324992,
        0.10065332221295524,
        0.10091743119266054,
        0.10118154017236586,
        0.10144564915207116,
        0.10170975813177648,
        0.10197386711148178,
        0.1022379760911871,
        0.10250208507089241,
        0.10276619405059771,
        0.10303030303030303,
        0.10329441201000833,
        0.10355852098971365,
        0.10382262996941895,
        0.10408673894912426,
        0.10435084792882958,
        0.10461495690853488,
        0.1048790658882402,
        0.1051431748679455,
        0.10540728384765082,
        0.10567139282735613,
        0.10593550180706143,
        0.10619961078676675,
        0.10646371976647205,
        0.10672782874617737,
        0.10699193772588267,
        0.10725604670558798,
        0.1075201556852933,
        0.1077842646649986,
        0.10804837364470392,
        0.10831248262440922,
        0.10857659160411454,
        0.10884070058381984,
        0.10910480956352515,
        0.10936891854323047,
        0.10963302752293577,
        0.10989713650264109,
        0.11016124548234639,
        0.1104253544620517,
        0.11068946344175701,
        0.11095357242146232,
        0.11121768140116764,
        0.11148179038087294,
        0.11174589936057826,
        0.11201000834028356,
        0.11227411731998888,
        0.11253822629969418,
        0.1128023352793995,
        0.11306644425910481,
        0.11333055323881011,
        0.11359466221851543,
        0.11385877119822073,
        0.11412288017792604,
        0.11438698915763135,
        0.11465109813733666,
        0.11491520711704198,
        0.11517931609674728,
        0.1154434250764526,
        0.1157075340561579,
        0.11597164303586321,
        0.11623575201556852,
        0.11649986099527383,
        0.11676396997497915,
        0.11702807895468445,
        0.11729218793438977,
        0.11755629691409507,
        0.11782040589380038,
        0.11808451487350569,
        0.118348623853211,
        0.11861273283291632,
        0.11887684181262162,
        0.11914095079232694,
        0.11940505977203224,
        0.11966916875173755,
        0.11993327773144287,
        0.12019738671114817,
        0.12046149569085349,
        0.12072560467055879,
        0.1209897136502641,
        0.12125382262996941,
        0.12151793160967472,
        0.12178204058938004,
        0.12204614956908534,
        0.12231025854879066,
        0.12257436752849596,
        0.12283847650820127,
        0.12310258548790658,
        0.12336669446761189,
        0.12363080344731721,
        0.12389491242702251,
        0.12415902140672783,
        0.12442313038643313,
        0.12468723936613844,
        0.12495134834584375,
        0.12521545732554906,
        0.1254795663052544,
        0.1257436752849597,
        0.126007784264665,
        0.1262718932443703,
        0.12653600222407563,
        0.12680011120378093,
        0.12706422018348623,
        0.12732832916319156,
        0.12759243814289686,
        0.12785654712260217,
        0.12812065610230747,
        0.1283847650820128,
        0.1286488740617181,
        0.1289129830414234,
        0.12917709202112873,
        0.12944120100083403,
        0.12970530998053934,
        0.12996941896024464,
        0.13023352793994997,
        0.13049763691965527,
        0.13076174589936057,
        0.1310258548790659,
        0.1312899638587712,
        0.1315540728384765,
        0.1318181818181818,
        0.13208229079788714,
        0.13234639977759244,
        0.13261050875729774,
        0.13287461773700307,
        0.13313872671670837,
        0.13340283569641367,
        0.13366694467611898,
        0.1339310536558243,
        0.1341951626355296,
        0.1344592716152349,
        0.13472338059494024,
        0.13498748957464554,
        0.13525159855435084,
        0.13551570753405615,
        0.13577981651376148,
        0.13604392549346678,
        0.13630803447317208,
        0.1365721434528774,
        0.1368362524325827,
        0.137100361412288,
        0.13736447039199332,
        0.13762857937169864,
        0.13789268835140395,
        0.13815679733110925,
        0.13842090631081458,
        0.13868501529051988,
        0.13894912427022518,
        0.13921323324993048,
        0.13947734222963581,
        0.13974145120934112,
        0.14000556018904642,
        0.14026966916875175,
        0.14053377814845705,
        0.14079788712816235,
        0.14106199610786765,
        0.14132610508757298,
        0.14159021406727829,
        0.1418543230469836,
        0.1421184320266889,
        0.14238254100639422,
        0.14264664998609952,
        0.14291075896580482,
        0.14317486794551015,
        0.14343897692521546,
        0.14370308590492076,
        0.14396719488462606,
        0.1442313038643314,
        0.1444954128440367,
        0.144759521823742,
        0.14502363080344732,
        0.14528773978315263,
        0.14555184876285793,
        0.14581595774256323,
        0.14608006672226856,
        0.14634417570197386,
        0.14660828468167916,
        0.1468723936613845,
        0.1471365026410898,
        0.1474006116207951,
        0.1476647206005004,
        0.14792882958020573,
        0.14819293855991103,
        0.14845704753961633,
        0.14872115651932166,
        0.14898526549902696,
        0.14924937447873227,
        0.14951348345843757,
        0.1497775924381429,
        0.1500417014178482,
        0.1503058103975535,
        0.15056991937725883,
        0.15083402835696413,
        0.15109813733666944,
        0.15136224631637474,
        0.15162635529608007,
        0.15189046427578537,
        0.15215457325549067,
        0.152418682235196,
        0.1526827912149013,
        0.1529469001946066,
        0.1532110091743119,
        0.15347511815401724,
        0.15373922713372254,
        0.15400333611342784,
        0.15426744509313317,
        0.15453155407283847,
        0.15479566305254377,
        0.15505977203224908,
        0.1553238810119544,
        0.1555879899916597,
        0.155852098971365,
        0.15611620795107034,
        0.15638031693077564,
        0.15664442591048094,
        0.15690853489018625,
        0.15717264386989158,
        0.15743675284959688,
        0.15770086182930218,
        0.1579649708090075,
        0.1582290797887128,
        0.15849318876841811,
        0.15875729774812342,
        0.15902140672782875,
        0.15928551570753405,
        0.15954962468723935,
        0.15981373366694468,
        0.16007784264664998,
        0.16034195162635528,
        0.16060606060606059,
        0.16087016958576592,
        0.16113427856547122,
        0.16139838754517652,
        0.16166249652488185,
        0.16192660550458715,
        0.16219071448429245,
        0.16245482346399776,
        0.16271893244370308,
        0.1629830414234084,
        0.1632471504031137,
        0.16351125938281902,
        0.16377536836252432,
        0.16403947734222962,
        0.16430358632193492,
        0.16456769530164025,
        0.16483180428134556,
        0.16509591326105086,
        0.1653600222407562,
        0.1656241312204615,
        0.1658882402001668,
        0.16615234917987212,
        0.16641645815957742,
        0.16668056713928273,
        0.16694467611898803,
        0.16720878509869336,
        0.16747289407839866,
        0.16773700305810396,
        0.1680011120378093,
        0.1682652210175146,
        0.1685293299972199,
        0.1687934389769252,
        0.16905754795663053,
        0.16932165693633583,
        0.16958576591604113,
        0.16984987489574646,
        0.17011398387545176,
        0.17037809285515707,
        0.17064220183486237,
        0.1709063108145677,
        0.171170419794273,
        0.1714345287739783,
        0.17169863775368363,
        0.17196274673338893,
        0.17222685571309423,
        0.17249096469279954,
        0.17275507367250487,
        0.17301918265221017,
        0.17328329163191547,
        0.1735474006116208,
        0.1738115095913261,
        0.1740756185710314,
        0.1743397275507367,
        0.17460383653044204,
        0.17486794551014734,
        0.17513205448985264,
        0.17539616346955797,
        0.17566027244926327,
        0.17592438142896857,
        0.17618849040867388,
        0.1764525993883792,
        0.1767167083680845,
        0.1769808173477898,
        0.17724492632749514,
        0.17750903530720044,
        0.17777314428690574,
        0.17803725326661105,
        0.17830136224631637,
        0.17856547122602168,
        0.17882958020572698,
        0.1790936891854323,
        0.1793577981651376,
        0.1796219071448429,
        0.17988601612454821,
        0.18015012510425354,
        0.18041423408395885,
        0.18067834306366415,
        0.18094245204336948,
        0.18120656102307478,
        0.18147067000278008,
        0.18173477898248538,
        0.18199888796219071,
        0.18226299694189602,
        0.18252710592160132,
        0.18279121490130665,
        0.18305532388101195,
        0.18331943286071725,
        0.18358354184042255,
        0.18384765082012788,
        0.18411175979983319,
        0.1843758687795385,
        0.18463997775924382,
        0.18490408673894912,
        0.18516819571865442,
        0.18543230469835972,
        0.18569641367806505,
        0.18596052265777036,
        0.18622463163747566,
        0.186488740617181,
        0.1867528495968863,
        0.1870169585765916,
        0.1872810675562969,
        0.18754517653600222,
        0.18780928551570752,
        0.18807339449541283,
        0.18833750347511816,
        0.18860161245482346,
        0.18886572143452876,
        0.18912983041423406,
        0.1893939393939394,
        0.1896580483736447,
        0.18992215735335,
        0.19018626633305533,
        0.19045037531276063,
        0.19071448429246593,
        0.19097859327217123,
        0.19124270225187656,
        0.19150681123158186,
        0.19177092021128717,
        0.1920350291909925,
        0.1922991381706978,
        0.1925632471504031,
        0.19282735613010843,
        0.19309146510981373,
        0.19335557408951903,
        0.19361968306922434,
        0.19388379204892967,
        0.19414790102863497,
        0.19441201000834027,
        0.1946761189880456,
        0.1949402279677509,
        0.1952043369474562,
        0.1954684459271615,
        0.19573255490686683,
        0.19599666388657214,
        0.19626077286627744,
        0.19652488184598277,
        0.19678899082568807,
        0.19705309980539337,
        0.19731720878509867,
        0.197581317764804,
        0.1978454267445093,
        0.1981095357242146,
        0.19837364470391994,
        0.19863775368362524,
        0.19890186266333054,
        0.19916597164303584,
        0.19943008062274117,
        0.19969418960244648,
        0.19995829858215178,
        0.2002224075618571,
        0.2004865165415624,
        0.2007506255212677,
        0.201014734500973,
        0.20127884348067834,
        0.20154295246038365,
        0.20180706144008895,
        0.20207117041979428,
        0.20233527939949958,
        0.20259938837920488,
        0.20286349735891018,
        0.2031276063386155,
        0.20339171531832081,
        0.20365582429802612,
        0.20391993327773145,
        0.20418404225743675,
        0.20444815123714205,
        0.20471226021684735,
        0.20497636919655268,
        0.20524047817625798,
        0.2055045871559633,
        0.20576869613566862,
        0.20603280511537392,
        0.20629691409507922,
        0.20656102307478452,
        0.20682513205448985,
        0.20708924103419515,
        0.20735335001390046,
        0.20761745899360579,
        0.2078815679733111,
        0.2081456769530164,
        0.2084097859327217,
        0.20867389491242702,
        0.20893800389213232,
        0.20920211287183763,
        0.20946622185154296,
        0.20973033083124826,
        0.20999443981095356,
        0.21025854879065886,
        0.2105226577703642,
        0.2107867667500695,
        0.2110508757297748,
        0.21131498470948012,
        0.21157909368918543,
        0.21184320266889073,
        0.21210731164859603,
        0.21237142062830136,
        0.21263552960800666,
        0.21289963858771196,
        0.2131637475674173,
        0.2134278565471226,
        0.2136919655268279,
        0.2139560745065332,
        0.21422018348623853,
        0.21448429246594383,
        0.21474840144564913,
        0.21501251042535446,
        0.21527661940505977,
        0.21554072838476507,
        0.21580483736447037,
        0.2160689463441757,
        0.216333055323881,
        0.2165971643035863,
        0.21686127328329163,
        0.21712538226299694,
        0.21738949124270224,
        0.21765360022240754,
        0.21791770920211287,
        0.21818181818181817,
        0.21844592716152347,
        0.2187100361412288,
        0.2189741451209341,
        0.2192382541006394,
        0.2195023630803447,
        0.21976647206005004,
        0.22003058103975534,
        0.22029469001946064,
        0.22055879899916597,
        0.22082290797887127,
        0.22108701695857658,
        0.2213511259382819,
        0.2216152349179872,
        0.2218793438976925,
        0.2221434528773978,
        0.22240756185710314,
        0.22267167083680844,
        0.22293577981651375,
        0.22319988879621908,
        0.22346399777592438,
        0.22372810675562968,
        0.22399221573533498,
        0.2242563247150403,
        0.2245204336947456,
        0.22478454267445092,
        0.22504865165415625,
        0.22531276063386155,
        0.22557686961356685,
        0.22584097859327215,
        0.22610508757297748,
        0.22636919655268278,
        0.22663330553238809,
        0.22689741451209341,
        0.22716152349179872,
        0.22742563247150402,
        0.22768974145120932,
        0.22795385043091465,
        0.22821795941061995,
        0.22848206839032525,
        0.22874617737003058,
        0.2290102863497359,
        0.2292743953294412,
        0.2295385043091465,
        0.22980261328885182,
        0.23006672226855712,
        0.23033083124826242,
        0.23059494022796775,
        0.23085904920767306,
        0.23112315818737836,
        0.23138726716708366,
        0.231651376146789,
        0.2319154851264943,
        0.2321795941061996,
        0.23244370308590492,
        0.23270781206561023,
        0.23297192104531553,
        0.23323603002502083,
        0.23350013900472616,
        0.23376424798443146,
        0.23402835696413676,
        0.2342924659438421,
        0.2345565749235474,
        0.2348206839032527,
        0.235084792882958,
        0.23534890186266333,
        0.23561301084236863,
        0.23587711982207393,
        0.23614122880177926,
        0.23640533778148456,
        0.23666944676118987,
        0.23693355574089517,
        0.2371976647206005,
        0.2374617737003058,
        0.2377258826800111,
        0.23798999165971643,
        0.23825410063942173,
        0.23851820961912704,
        0.23878231859883234,
        0.23904642757853767,
        0.23931053655824297,
        0.23957464553794827,
        0.2398387545176536,
        0.2401028634973589,
        0.2403669724770642,
        0.2406310814567695,
        0.24089519043647484,
        0.24115929941618014,
        0.24142340839588544,
        0.24168751737559077,
        0.24195162635529607,
        0.24221573533500138,
        0.24247984431470668,
        0.242743953294412,
        0.2430080622741173,
        0.2432721712538226,
        0.24353628023352794,
        0.24380038921323324,
        0.24406449819293854,
        0.24432860717264385,
        0.24459271615234918,
        0.24485682513205448,
        0.24512093411175978,
        0.2453850430914651,
        0.2456491520711704,
        0.24591326105087571,
        0.24617737003058102,
        0.24644147901028635,
        0.24670558798999165,
        0.24696969696969695,
        0.24723380594940228,
        0.24749791492910758,
        0.24776202390881288,
        0.2480261328885182,
        0.24829024186822352,
        0.24855435084792882,
        0.24881845982763412,
        0.24908256880733945,
        0.24934667778704475,
        0.24961078676675005,
        0.24987489574645538,
        0.2501390047261607,
        0.250403113705866,
        0.2506672226855713,
        0.25093133166527665,
        0.25119544064498195,
        0.25145954962468725,
        0.25172365860439255,
        0.25198776758409785,
        0.25225187656380316,
        0.25251598554350846,
        0.2527800945232138,
        0.2530442035029191,
        0.2533083124826244,
        0.2535724214623297,
        0.253836530442035,
        0.2541006394217403,
        0.25436474840144563,
        0.254628857381151,
        0.2548929663608563,
        0.2551570753405616,
        0.2554211843202669,
        0.2556852932999722,
        0.2559494022796775,
        0.2562135112593828,
        0.25647762023908816,
        0.25674172921879346,
        0.25700583819849876,
        0.25726994717820406,
        0.25753405615790936,
        0.25779816513761467,
        0.25806227411731997,
        0.2583263830970253,
        0.2585904920767306,
        0.25885460105643593,
        0.25911871003614123,
        0.25938281901584653,
        0.25964692799555184,
        0.25991103697525714,
        0.2601751459549625,
        0.2604392549346678,
        0.2607033639143731,
        0.2609674728940784,
        0.2612315818737837,
        0.261495690853489,
        0.2617597998331943,
        0.26202390881289966,
        0.26228801779260497,
        0.26255212677231027,
        0.26281623575201557,
        0.26308034473172087,
        0.2633444537114262,
        0.2636085626911315,
        0.26387267167083683,
        0.26413678065054214,
        0.26440088963024744,
        0.26466499860995274,
        0.26492910758965804,
        0.26519321656936334,
        0.26545732554906865,
        0.265721434528774,
        0.2659855435084793,
        0.2662496524881846,
        0.2665137614678899,
        0.2667778704475952,
        0.2670419794273005,
        0.2673060884070058,
        0.2675701973867111,
        0.2678343063664165,
        0.2680984153461218,
        0.2683625243258271,
        0.2686266333055324,
        0.2688907422852377,
        0.269154851264943,
        0.2694189602446483,
        0.26968306922435364,
        0.26994717820405895,
        0.27021128718376425,
        0.27047539616346955,
        0.27073950514317485,
        0.27100361412288015,
        0.27126772310258546,
        0.2715318320822908,
        0.2717959410619961,
        0.2720600500417014,
        0.2723241590214067,
        0.272588268001112,
        0.2728523769808173,
        0.2731164859605226,
        0.273380594940228,
        0.2736447039199333,
        0.2739088128996386,
        0.2741729218793439,
        0.2744370308590492,
        0.2747011398387545,
        0.2749652488184598,
        0.27522935779816515,
        0.27549346677787045,
        0.27575757575757576,
        0.27602168473728106,
        0.27628579371698636,
        0.27654990269669166,
        0.27681401167639696,
        0.2770781206561023,
        0.2773422296358076,
        0.2776063386155129,
        0.27787044759521823,
        0.27813455657492353,
        0.27839866555462883,
        0.27866277453433413,
        0.2789268835140395,
        0.2791909924937448,
        0.2794551014734501,
        0.2797192104531554,
        0.2799833194328607,
        0.280247428412566,
        0.2805115373922713,
        0.28077564637197666,
        0.28103975535168196,
        0.28130386433138727,
        0.28156797331109257,
        0.28183208229079787,
        0.28209619127050317,
        0.2823603002502085,
        0.28262440922991383,
        0.28288851820961913,
        0.28315262718932444,
        0.28341673616902974,
        0.28368084514873504,
        0.28394495412844034,
        0.28420906310814564,
        0.284473172087851,
        0.2847372810675563,
        0.2850013900472616,
        0.2852654990269669,
        0.2855296080066722,
        0.2857937169863775,
        0.2860578259660828,
        0.28632193494578817,
        0.28658604392549347,
        0.2868501529051988,
        0.2871142618849041,
        0.2873783708646094,
        0.2876424798443147,
        0.28790658882402,
        0.28817069780372534,
        0.28843480678343064,
        0.28869891576313594,
        0.28896302474284125,
        0.28922713372254655,
        0.28949124270225185,
        0.28975535168195715,
        0.2900194606616625,
        0.2902835696413678,
        0.2905476786210731,
        0.2908117876007784,
        0.2910758965804837,
        0.291340005560189,
        0.2916041145398943,
        0.2918682235195997,
        0.292132332499305,
        0.2923964414790103,
        0.2926605504587156,
        0.2929246594384209,
        0.2931887684181262,
        0.2934528773978315,
        0.29371698637753685,
        0.29398109535724215,
        0.29424520433694745,
        0.29450931331665275,
        0.29477342229635806,
        0.29503753127606336,
        0.29530164025576866,
        0.295565749235474,
        0.2958298582151793,
        0.2960939671948846,
        0.2963580761745899,
        0.2966221851542952,
        0.29688629413400053,
        0.29715040311370583,
        0.2974145120934112,
        0.2976786210731165,
        0.2979427300528218,
        0.2982068390325271,
        0.2984709480122324,
        0.2987350569919377,
        0.298999165971643,
        0.29926327495134836,
        0.29952738393105366,
        0.29979149291075896,
        0.30005560189046426,
        0.30031971087016957,
        0.30058381984987487,
        0.30084792882958017,
        0.3011120378092855,
        0.30137614678899083,
        0.30164025576869613,
        0.30190436474840143,
        0.30216847372810673,
        0.30243258270781204,
        0.30269669168751734,
        0.3029608006672227,
        0.303224909646928,
        0.3034890186266333,
        0.3037531276063386,
        0.3040172365860439,
        0.3042813455657492,
        0.3045454545454545,
        0.30480956352515987,
        0.30507367250486517,
        0.30533778148457047,
        0.30560189046427577,
        0.3058659994439811,
        0.3061301084236864,
        0.3063942174033917,
        0.30665832638309704,
        0.30692243536280234,
        0.30718654434250764,
        0.30745065332221294,
        0.30771476230191824,
        0.30797887128162355,
        0.30824298026132885,
        0.3085070892410342,
        0.3087711982207395,
        0.3090353072004448,
        0.3092994161801501,
        0.3095635251598554,
        0.3098276341395607,
        0.310091743119266,
        0.3103558520989714,
        0.3106199610786767,
        0.310884070058382,
        0.3111481790380873,
        0.3114122880177926,
        0.3116763969974979,
        0.3119405059772032,
        0.31220461495690854,
        0.31246872393661385,
        0.31273283291631915,
        0.31299694189602445,
        0.31326105087572975,
        0.31352515985543505,
        0.31378926883514036,
        0.3140533778148457,
        0.314317486794551,
        0.3145815957742563,
        0.3148457047539616,
        0.3151098137336669,
        0.3153739227133722,
        0.3156380316930776,
        0.3159021406727829,
        0.3161662496524882,
        0.3164303586321935,
        0.3166944676118988,
        0.3169585765916041,
        0.3172226855713094,
        0.31748679455101475,
        0.31775090353072005,
        0.31801501251042535,
        0.31827912149013066,
        0.31854323046983596,
        0.31880733944954126,
        0.31907144842924656,
        0.3193355574089519,
        0.3195996663886572,
        0.3198637753683625,
        0.3201278843480678,
        0.32039199332777313,
        0.32065610230747843,
        0.32092021128718373,
        0.3211843202668891,
        0.3214484292465944,
        0.3217125382262997,
        0.321976647206005,
        0.3222407561857103,
        0.3225048651654156,
        0.3227689741451209,
        0.32303308312482626,
        0.32329719210453156,
        0.32356130108423686,
        0.32382541006394217,
        0.32408951904364747,
        0.32435362802335277,
        0.32461773700305807,
        0.32488184598276343,
        0.32514595496246873,
        0.32541006394217403,
        0.32567417292187933,
        0.32593828190158464,
        0.32620239088128994,
        0.32646649986099524,
        0.3267306088407006,
        0.3269947178204059,
        0.3272588268001112,
        0.3275229357798165,
        0.3277870447595218,
        0.3280511537392271,
        0.3283152627189324,
        0.32857937169863777,
        0.32884348067834307,
        0.32910758965804837,
        0.3293716986377537,
        0.329635807617459,
        0.3298999165971643,
        0.3301640255768696,
        0.33042813455657494,
        0.33069224353628024,
        0.33095635251598554,
        0.33122046149569084,
        0.33148457047539615,
        0.33174867945510145,
        0.33201278843480675,
        0.3322768974145121,
        0.3325410063942174,
        0.3328051153739227,
        0.333069224353628,
        0.3333333333333333
      ],
      "fit_improvement": [
        504.8433110211108,
        503.98389975878854,
        502.97355090011854,
        501.7951013841948,
        500.429744956449,
        498.8569319491613,
        497.05428032528073,
        494.99750445872274,
        492.6603697539402,
        490.0146830493443,
        487.0303307609742,
        483.6753788207307,
        479.91625050778663,
        475.71800004931123,
        471.04470107580283,
        465.85996925348974,
        460.1276371747017,
        453.8125962708775,
        446.88181447996595,
        439.3055290415961,
        431.05860066202496,
        422.12199827396904,
        412.48436315048036,
        402.14357842205476,
        391.10824723842705,
        379.39896304397485,
        367.0492426477792,
        354.1059912684652,
        340.62938239961954,
        326.6920666157363,
        312.37767227119184,
        297.77862410288566,
        282.99337623171516,
        268.1232243785008,
        253.26891745182544,
        238.52732117483077,
        223.9883894603381,
        209.73267107008064,
        195.82952338766404,
        182.33613024102758,
        169.29733778454602,
        156.74624310060037,
        144.70540427757672,
        133.18849493293445,
        122.20220341856312,
        111.7481768254997,
        101.82482943093436,
        92.42886993541005,
        83.55644661564038,
        75.20385919383988,
        67.36783585965729,
        60.045418940795216,
        53.23353924933143,
        46.928384032559,
        41.124674839995414,
        35.814969133496156,
        30.989084464887984,
        26.63371943736737,
        22.732315469482124,
        19.265172018603273,
        16.2097994618814,
        13.541471344357713,
        11.233922879798255,
        9.2601357015989,
        7.593148995389679,
        6.2068426206203515,
        5.07664666252828,
        4.180142172144785,
        3.4975281626336563,
        3.011939274351397,
        2.7096064742064585,
        2.5798597459227945,
        2.614977299736705,
        2.8098908782602985,
        3.1617617452999958,
        3.6694472466387307,
        4.332883486627455,
        5.152415394063735,
        6.128110633629711,
        7.259097561047539,
        8.5429687071844,
        9.975289194303453,
        11.549243470592776,
        13.255443799125235,
        15.081910749063677,
        17.01422087379516,
        19.035801666569665,
        21.12834076077549,
        23.27226696788539,
        25.447256336369275,
        27.632717408149606,
        29.808215870621154,
        31.9538087967115,
        34.05027114682535,
        36.07921054657316,
        38.02307903646427,
        39.86510128208441,
        41.589146765774444,
        43.17957824786491,
        44.62111010482715,
        45.89870811529835,
        46.99755720354812,
        47.90311611443535,
        48.60126874217108,
        49.0785718023604,
        49.32258876989568,
        49.322291555175916,
        49.06850517196166,
        48.554367294378885,
        47.77577434617907,
        46.731788409165624,
        45.42498417156507,
        43.8617214633413,
        42.05233562306146,
        40.01124404553318,
        37.75697201529882,
        35.3121038889226,
        32.70316673791404,
        29.960452904505356,
        27.117785997559963,
        24.21223226277415,
        21.28375665985084,
        18.37482100903232,
        15.52992077824426,
        12.795057865610726,
        10.21714927991309,
        7.843375872321056,
        5.72048088288043,
        3.8940344034384555,
        2.407686040574938,
        1.3024330383019431,
        0.615933821320168,
        0.3818964454956205,
        0.6295672672172392,
        1.3833372895685494,
        2.6624727738095917,
        4.480964095841599,
        6.84747420761833,
        9.76535734092384,
        13.232711523873178,
        17.242426364868187,
        21.782191001513045,
        26.83443593558896,
        32.376195761390534,
        38.37889604226018,
        44.80808493735938,
        51.623146643204265,
        58.77704739733829,
        66.21617405954201,
        73.88032889076166,
        81.7029413260279,
        89.61154807801383,
        97.52857721921421,
        105.37245101833233,
        113.05899790568535,
        120.5031381761432,
        127.62078338653185,
        134.33086839545663,
        140.55741988458365,
        146.2315576638478,
        151.2933259364612,
        155.6932608554976,
        159.39361707280239,
        162.36919772566392,
        164.6077571145202,
        166.10997075954992,
        166.8889913641385,
        166.96962972050068,
        166.38721566414125,
        165.18620537844785,
        163.41860780429252,
        161.1423051707579,
        158.41934149376144,
        155.31424907157242,
        151.89247718908894,
        148.21897985146614,
        144.35701058230478,
        140.36716212330467,
        136.30667714258777,
        132.2290427114142,
        128.1838664267369,
        124.2170160071484,
        120.37098768893897,
        116.68545286019308,
        113.1979184225304,
        109.94442580530578,
        106.96020773391895,
        104.28022183225868,
        101.93948649364114,
        99.97315714910887,
        98.41629941249873,
        97.30333831132927,
        96.66718818785847,
        96.5380938764896,
        96.94223837777967,
        97.90019354478571,
        99.42530666783179,
        101.5221260994757,
        104.18497249070265,
        107.39675859617745,
        111.12815021344373,
        115.3371443481573,
        119.96911922092177,
        124.95738562620411,
        130.2242420018463,
        135.68250805153738,
        141.23748555192282,
        146.78927161311782,
        152.2353304583121,
        157.47321574575898,
        162.4033272161991,
        166.9315832810494,
        170.97189499539513,
        174.44833631412752,
        177.29692001227252,
        179.4669074061611,
        180.92160218363574,
        181.63860331486873,
        181.60951818986655,
        180.83916376850587,
        179.34430950517324,
        177.1520399013046,
        174.29783544325747,
        170.82348706438196,
        166.77496984682503,
        162.20040534272889,
        157.1482378542529,
        151.66573792887118,
        145.79792642411894,
        139.5869856146316,
        133.0721913962895,
        126.29036464515397,
        119.27680253697801,
        112.06661462856573,
        104.69635622593009,
        97.20582529204347,
        89.63987080345248,
        82.05005152164918,
        74.49598555896046,
        67.04624329828677,
        59.77865900579595,
        52.779969087439746,
        46.144725977687976,
        39.973484038298494,
        34.370304846277364,
        29.439680522266002,
        25.28302151083645,
        21.994895518813856,
        19.65923339481626,
        18.3457324795478,
        18.10668633323548,
        18.97445114213602,
        20.959724524773304,
        24.050764492924294,
        28.213618889533592,
        33.39337350477562,
        39.51636531592414,
        46.49325062812233,
        54.222770181083796,
        62.59601720049658,
        71.50099124945312,
        80.82721066244198,
        90.47015841336282,
        100.33534892697777,
        110.34182476196425,
        120.42492048454953,
        130.53816487164357,
        140.6542306105195,
        150.7648819499005,
        160.87991448188248,
        171.02512650021126,
        181.23940702466834,
        191.57107003052417,
        202.07360564613816,
        212.8010546664566,
        223.80324006716435,
        235.12110577725366,
        246.7824166875687,
        258.7980634013758,
        271.1591902384265,
        283.8353262930581,
        296.7736488521659,
        309.8994490978185,
        323.1178053402876,
        336.3164029913074,
        349.36937704449343,
        362.1419956451083,
        374.4959555717627,
        386.29502466494523,
        397.41074430152946,
        407.7278981395795,
        417.14946208606534,
        425.6007746284155,
        433.03270544435577,
        439.423651892363,
        444.780255073047,
        449.13679629648414,
        452.55330693213136,
        455.1124952177022,
        456.91565799735645,
        458.0777991924117,
        458.72221648244135,
        458.97484074263383,
        458.9586182010444,
        458.78821348573456,
        458.5652845275013,
        458.37454054040506,
        458.2807455550294,
        458.32677597875863,
        458.5327849585578,
        458.8964719723082,
        459.3944054407759,
        459.98430088970866,
        460.608118342323,
        461.1958107939106,
        461.669531196201,
        461.94808870555244,
        461.95143645456966,
        461.60497332397074,
        460.843451675795,
        459.6143021671643,
        457.8802156302021,
        455.62086001260025,
        452.833656186313,
        449.5335878680926,
        445.75207500002585,
        441.53499319456137,
        436.93997051109596,
        432.0331333279174,
        426.8855024103457,
        421.569256374818,
        416.15408165972076,
        410.7038160770473,
        405.27356837049683,
        399.9074611649387,
        394.63710207339636,
        389.48084063728186,
        384.44382033855715,
        379.51878807225506,
        374.68758080719215,
        369.923172887614,
        365.19213929124896,
        360.4573714472507,
        355.68087372740524,
        350.82647072311374,
        345.8622676033301,
        340.76272730447846,
        335.51025752133893,
        330.09623539847934,
        324.52143600500074,
        318.7958694338451,
        312.93806803938855,
        306.9738975127307,
        300.93499126713965,
        294.8569256682024,
        288.7772633913371,
        282.73359369326704,
        276.7616922856722,
        270.8939108583245,
        265.15788841858966,
        259.57565487752737,
        254.16317305744303,
        248.93033974065514,
        243.88144060467522,
        239.0160288618152,
        234.33017404522332,
        229.81800654995413,
        225.47346616010438,
        221.29214979549874,
        217.27314597858341,
        213.4207417994949,
        209.74589292692426,
        206.26735856535325,
        203.01242079538864,
        200.0171305175121,
        197.3260488119413,
        194.99148109755095,
        193.07222997921204,
        191.63191908317032,
        190.7369626952934,
        190.45427326053743,
        190.84880994047052,
        191.98107620844684,
        193.90467317511536,
        196.66400869364068,
        200.29225128405866,
        204.80960364961055,
        210.22195412798914,
        216.51994680879736,
        223.67849307697765,
        231.6567296711644,
        240.39841150757695,
        249.832711964374,
        259.875389465539,
        270.4302674608266,
        281.390965685323,
        292.6428142935183,
        304.06487942725795,
        315.5320291973534,
        326.9169729550196,
        338.0922138959124,
        348.93186502688053,
        359.31329065688163,
        369.1185489898328,
        378.23562513229365,
        386.55945689615277,
        393.99276726292567,
        400.44672652374015,
        405.84147337937054,
        410.1065273979445,
        413.181125173967,
        415.01450955692144,
        415.56619588761583,
        414.806231931541,
        412.71545987652576,
        409.285780155989,
        404.5204087385712,
        398.4341125776116,
        391.0534026954803,
        382.41666126895467,
        372.5741782638783,
        361.5880746112478,
        349.53209239469675,
        336.4912376311589,
        322.5612674469758,
        307.8480201864467,
        292.4665936393871,
        276.5403825944434,
        260.1999918808094,
        243.582044662008,
        226.82790786414049,
        210.08235728960167,
        193.49220435606557,
        177.20490478240114,
        161.3671672495577,
        146.1235774402526,
        131.61525022438568,
        117.97852036623642,
        105.34368016644169,
        93.83377101362939,
        83.56343492639952,
        74.63783177092287,
        67.15162785367502,
        61.18806190140351,
        56.818094936936504,
        54.09965113797527,
        53.07695734473212,
        53.77998940139724,
        56.22403393318124,
        60.40937444083521,
        66.32111070119772,
        73.92912034687538,
        83.18817109361243,
        94.0381913046491,
        106.40470532851477,
        120.19943822023052,
        135.3210919716746,
        151.6562921860443,
        169.08070024060498,
        187.46028146884044,
        206.65271491649997,
        226.5089250258694,
        246.87471049032285,
        267.59244085845364,
        288.5027876354038,
        309.4464539934351,
        330.26586607252807,
        350.80678944041665,
        370.9198366819866,
        390.46183625141634,
        409.29703845202806,
        427.29814137936705,
        444.3471274354628,
        460.33590908738,
        475.16679036687515,
        488.75275767652414,
        501.01761933441867,
        511.8960176104021,
        521.3333395685736,
        529.2855537630742,
        535.7189988096278,
        540.6101472758222,
        543.9453645052637,
        545.7206772932351,
        545.941562177676,
        544.6227579096836,
        541.7881017949703,
        537.4703853587822,
        531.7112214027828,
        524.5609121215273,
        516.0783065630073,
        506.33063530745505,
        495.3933106928466,
        483.34968208746506,
        470.29073743586366,
        456.314744425913,
        441.5268270023604,
        426.03847547544336,
        409.96699105868896,
        393.43486825706697,
        376.5691210642447,
        359.5005613609789,
        342.36304016416864,
        325.29266435960824,
        308.42700313308825,
        291.90429934108954,
        275.8627013681658,
        260.43953044487665,
        245.77059682205817,
        231.9895755478824,
        219.22744889201064,
        207.61201782693854,
        197.2674796448184,
        188.3140631012516,
        180.8677068724261,
        175.03976208865402,
        170.93669579036367,
        168.65976984331343,
        168.30466957542782,
        169.961058462393,
        173.71203972938468,
        179.63351268678667,
        187.79342069061354,
        198.25089829954248,
        211.05533676547276,
        226.24539854722875,
        243.8480220690218,
        263.8774664189943,
        286.3344511284272,
        311.2054477930342,
        338.46217757541285,
        368.06136140467765,
        399.9447582251166,
        434.039511623851,
        470.25880765658553,
        508.50282804985625,
        548.6599647053707,
        590.6082450830513,
        634.2169049460305,
        679.3480361590152,
        725.8582333787256,
        773.6001647403335,
        822.4239977581607,
        872.178621962772,
        922.7126233408369,
        973.8749813082501,
        1025.5154755623744,
        1077.4848066172653,
        1129.634449164263,
        1181.8162708575367,
        1233.88196016707,
        1285.6823152668178,
        1337.0664514412306,
        1387.8809872900622,
        1437.969270322721,
        1487.170700694559,
        1535.32020823983,
        1582.247933003689,
        1627.7791535379447,
        1671.734500598402,
        1713.930486750704,
        1754.180374807589,
        1792.295399892367,
        1828.0863510309077,
        1861.3655082082996,
        1891.9489194495218,
        1919.6589894184854,
        1944.3273361575402,
        1965.7978560508866,
        1983.9299193795362,
        1998.6016008387412,
        2009.7128324212772,
        2017.1883518041209,
        2020.9803097191045,
        2021.0703966898457,
        2017.471354718603,
        2010.2277542632933,
        1999.4159416629325,
        1985.143096597667,
        1967.5453816961085,
        1946.7852144901356,
        1923.047742185087,
        1896.5366482615884,
        1867.4694627527995,
        1836.0725814983189,
        1802.5762208850476,
        1767.2095417451283,
        1730.1961686339318,
        1691.7503093248993,
        1652.0736457664332,
        1611.3531244674098,
        1569.75972429031,
        1527.4482260554905,
        1484.5579542088738,
        1441.2144088236078,
        1397.5316588092935,
        1353.615326489224,
        1309.5659615088591,
        1265.4825799629314,
        1221.4661340441844,
        1177.6226794746358,
        1134.0660230555181,
        1090.9196607582585,
        1048.3178568899064,
        1006.4057649981582,
        965.3385483087692,
        925.279517724724,
        886.3973643515034,
        848.8626166863216,
        812.8434960517268,
        778.501374589908,
        745.9860565549478,
        715.431105663052,
        686.9494302502308,
        660.6293164482058,
        636.5310707028793,
        614.6844000465734,
        595.0866245565694,
        577.701783605314,
        562.4606670998578,
        549.261775228248,
        537.9731848009819,
        528.4352761442651,
        520.4642506303436,
        513.856344588127,
        508.39262042809077,
        503.84419107702706,
        499.9777108503689,
        496.56094699334903,
        493.3682339640585,
        490.185609684979,
        486.8154414307503,
        483.0803696750799,
        478.8264306618553,
        473.9252608291835,
        468.27533535972157,
        461.80224502908794,
        454.45806580255004,
        446.2199201581849,
        437.0878645336617,
        427.0822613893126,
        416.2408062528401,
        404.61538013002905,
        392.2688872512698,
        379.2722194145591,
        365.70146367405374,
        351.63544231616754,
        337.1536452257743,
        322.3345867315204,
        307.2545932244871,
        291.98700521266426,
        276.60175857210083,
        261.1652948637477,
        245.7407397833737,
        230.38828204554403,
        215.16568211908927,
        200.12884098929652,
        185.33236318647204,
        170.83005525030285,
        156.67531004990906,
        142.92133831571235,
        129.6212206767771,
        116.82776575337732,
        104.5931718074317,
        92.9685005944454,
        82.00298202520898,
        71.7431768214987,
        62.23203145262375,
        53.507865268626176,
        45.60333392630503,
        38.54441593102481,
        32.34947031411367,
        27.028412970392683,
        22.582056764032586,
        19.001655927643323,
        16.268688343446225,
        14.354899967008587,
        13.22262412061019,
        12.825375111708397,
        13.108701379066138,
        14.011269138198934,
        15.466134442881621,
        17.402150868333443,
        19.745452680201566,
        22.420950118601,
        25.353774636225697,
        28.470617470133096,
        31.700914247211944,
        34.97784051284491,
        38.23909698458695,
        41.42747773281598,
        44.4912281976212,
        47.384211957851676,
        50.0659147175308,
        52.501320596887,
        54.66069932327981,
        56.51934337561993,
        58.05729181166757,
        59.259072818475545,
        60.113490491467545,
        60.61347354707811,
        60.7559952138572,
        60.54206503135472,
        59.976785287648525,
        59.06945785681478,
        57.833721676276376,
        56.28769732740151,
        54.45411330103036,
        52.36038853492412,
        50.03864754218295,
        47.52564762062841,
        44.86260186922124,
        42.0948866320026,
        39.27162715764204,
        36.44516038735114,
        33.67037864949176,
        31.003962539287997,
        28.503515386851717,
        26.226615521318312,
        24.229806098438964,
        22.56754562077218,
        21.291145421155854,
        20.447723181606502,
        20.079203797472566,
        20.221400260176843,
        20.90320736456369,
        22.14593960424727,
        23.962841336396348,
        26.358792058595608,
        29.33022252597526,
        32.86524875222942,
        36.94402120616635,
        41.53927643142673,
        46.617068674739464,
        52.137650703264185,
        58.0564665218063,
        64.32521467700046,
        70.89293952084712,
        77.70710919061214,
        84.71464287794238,
        91.86285572912192,
        99.10029682529515,
        106.37746346546714,
        113.6473827694949,
        120.86605887489725,
        127.99279029423897,
        134.9903670555625,
        141.8251609448774,
        148.46712451852173,
        154.8897156707316,
        161.06976461557372,
        166.98729939794282,
        172.62534471956056,
        177.96970717089556,
        183.00875808543364,
        187.73322332301015,
        192.13598744348303,
        196.2119180065934,
        199.95771414597678,
        203.37178210407592,
        206.45413904975973,
        209.20634519397754,
        211.63146293555883,
        213.73404048574878,
        215.52011613156304,
        216.9972380231883,
        218.1744931523586,
        219.06253809317715,
        219.67362318797512,
        220.021601273785,
        220.12191185514376,
        219.99153192196292,
        219.64888545038454,
        219.11370504055756,
        218.40684112691815,
        217.5500166856694,
        216.56552825509857,
        215.47589722814607,
        214.30347859121326,
        213.0700373675508,
        211.79630577459778,
        210.50153633525275,
        209.203067738043,
        207.91592100963146,
        206.65244348565125,
        205.42201713572916,
        204.23084605781136,
        203.0818354880532,
        201.97457158870392,
        200.90540771118052,
        199.86765893024292,
        198.851902559841,
        197.84637824703756,
        196.83747725550631,
        195.8103068551447,
        194.7493124913248,
        193.638937775746,
        192.4643004701945,
        191.21186165352765,
        189.8700652651135,
        188.42992625079793,
        186.88554758629022,
        185.23454943644327,
        183.4783974782096,
        181.6226217613839,
        179.67692215026688,
        177.65516110345052,
        175.57524903008743,
        173.4589314563655,
        171.33149053753212,
        169.22137591119952,
        167.1597814263752,
        165.18018488609616,
        163.31786765538882,
        161.6094299031845,
        160.0923154923594,
        158.80435824941156,
        157.78335868411853,
        157.06669733619884,
        156.6909879386043,
        156.69177063430135,
        157.10324268418125,
        157.9580215696215,
        159.28693322926426,
        161.11881647418855,
        163.48033348884815,
        166.3957758236062,
        169.88685547701385,
        173.97247158508029,
        178.6684448824956,
        183.98721444224583,
        189.93749416086123,
        196.52388992162275,
        203.74648218392622,
        211.60038272513685,
        220.07527818552498,
        229.15497670142025,
        238.8169770124697,
        249.03208175667837,
        259.76407800332316,
        270.9695082378106,
        282.5975538801861,
        294.5900509396184,
        306.881653619749,
        319.4001567314591,
        332.0669818771512,
        344.79782587156944,
        357.50346315678996,
        370.0906874903769,
        382.4633723742685,
        394.52362494313854,
        406.1730046571743,
        417.3137763392007,
        427.8501669166036,
        437.6895965850029,
        446.74385778395634,
        454.93021904111276,
        462.1724350132129,
        468.4016485269489,
        473.5571747261838,
        477.58716126146385,
        480.4491216098038,
        482.1103409972611,
        482.5481560374555,
        481.750110215332,
        479.71398792676086,
        476.4477301551077,
        471.96923524678954,
        466.3060488237966,
        459.49494776266886,
        451.5814244155181,
        442.6190788055703,
        432.6689282767313,
        421.79864583973466,
        410.0817400345003,
        397.5966903232245,
        384.42605268127966,
        370.65555006203726,
        356.373161754972,
        341.66822438922,
        326.6305555880862,
        311.3496092401312,
        295.91366923705965,
        280.40908655998214,
        264.9195629700887,
        249.5254834258511,
        234.30329878798443,
        219.32496039012358,
        204.65740857688073,
        190.36211820253936,
        176.4947051539525,
        163.10459899330615,
        150.2347875920697,
        137.92163995344845,
        126.19481315380676,
        115.07724839710556,
        104.58525957260156,
        94.72871551475365,
        85.51131453491686,
        76.93094692884945,
        68.98013829218729,
        61.64656382933813,
        54.91362162736176,
        48.761051246316576,
        43.165583051182594,
        38.10160350906954,
        33.54182216322129,
        29.457927078734986,
        25.821217096484666,
        22.603201068624994,
        19.776156210964952,
        17.3136396340527,
        15.19094886910953,
        13.38552868361104,
        11.877322619360513,
        10.649068457970577,
        9.686537236418463,
        8.97871554193182,
        8.517930678977367,
        8.299918006305798,
        8.323829383191173,
        8.59218133748621,
        9.11074136660952,
        9.88835078997424,
        10.93668285883737,
        12.269935452170538,
        13.904458680973411,
        15.858319102152928,
        18.150803995077503,
        20.80187123879017,
        23.83155267354516,
        27.25932133160592,
        31.103435440641256,
        35.380274471313555,
        40.10368452951955,
        45.28435188526575,
        50.92922419352643,
        57.04099883428495,
        63.61769666426861,
        70.65233728415507,
        78.1327287177973,
        86.04138029897828,
        94.35554277853224,
        103.0473744859062,
        112.0842271399687,
        121.42903995855015,
        131.04082640346678,
        140.8752345060336,
        150.8851594581175,
        161.02138613826108,
        171.23323948107472,
        181.46922200013483,
        191.6776201665458,
        201.80706449344825,
        211.80703181476895,
        221.62828210353183,
        231.22322599971557,
        240.54622279603558,
        249.553811798325,
        258.20488262388324,
        266.46079206743156,
        274.28543663408635,
        281.6452907320392,
        288.5094208763398,
        294.8494861355063,
        300.6397345129213,
        305.85700405303436,
        310.48073624784007,
        314.4930078354967,
        317.87858536870095,
        320.62500502015246,
        322.7226780257647,
        324.16501998894654,
        324.9486000406216,
        325.07330364561057,
        324.54250076047373,
        323.3632091923831,
        321.54624150844916,
        319.1063228312774,
        316.0621664574176,
        312.43649456056767,
        308.2559923699429,
        303.5511861786387,
        298.35623831038595,
        292.7086556633925,
        286.648912493961,
        280.219992475252,
        273.4668594921969,
        266.43587080870446,
        259.1741498618365,
        251.72893872198748,
        244.1469519854946,
        236.47375439181815,
        228.75318373062558,
        221.02683867073918,
        213.3336481400528,
        205.70953502702423,
        198.18718252528527,
        190.79590669805447,
        183.56163409157128,
        176.50697875078833,
        169.6514090191572,
        163.0114912206854,
        156.60119485431474,
        150.43224234785814,
        144.51448573954585,
        138.85629284869174,
        133.46492649001163,
        128.34690197005162,
        123.50831034080781,
        118.95509751398356,
        114.69329218615762,
        110.72917841107925,
        107.06941141090736,
        103.72107769113862,
        100.691702594034,
        97.9892100116217,
        95.62184004681473,
        93.5980309718179,
        91.92627194157987,
        90.6149326658301,
        89.67207573744793,
        89.105256676329,
        88.92131608814381,
        89.12616774835759,
        89.72458596457281,
        90.7199952711718,
        92.11426535835915,
        93.90751409042969,
        96.09792145915111,
        98.68155726961788,
        101.6522251928778,
        105.00132548448248,
        108.7177381331529,
        112.78772748084131,
        117.19486849866539,
        121.91999400715349,
        126.94116131780288,
        132.23363618524837,
        137.7698917293268,
        143.51962022186882,
        149.44975639806955,
        155.52451225021787,
        161.70542502922112,
        167.9514222847697,
        174.21891002541875,
        180.4618922356644,
        186.63213178101785,
        192.6793638930421,
        198.55157370614867,
        204.19534851732706,
        209.55631343680506,
        214.57965586869076,
        219.21073990219872,
        223.39580642846278,
        227.08274897302874,
        230.22194930262248,
        232.76715134908176,
        234.67634743431245,
        235.91264767330202,
        236.44510216178676,
        236.24944633399053,
        235.30874270379442,
        233.61389685124217,
        231.16403154778266,
        227.96670972980536,
        224.03800394922683,
        219.4024162769146,
        214.09265783002448,
        208.1493007301924,
        201.62031718820015,
        194.56052060205312,
        187.03092231874234,
        179.09801549096642,
        170.83299481154503,
        162.3109184164007,
        153.60981645029096,
        144.8097501107609,
        135.99182567600687,
        127.23717012623791,
        118.62587831418908,
        110.23594585531156,
        102.14220645877191,
        94.415296676498,
        87.12067436101539,
        80.31771891541938,
        74.05894126190279,
        68.38932913680668,
        63.34584887878356,
        58.95711860599642,
        55.24326009017411,
        52.21592839489209,
        49.8785101845052,
        48.226474233750906,
        47.24785167069483,
        46.923819287491014,
        47.22935706611471,
        48.13395088896473,
        49.60231304866268,
        51.59509630486668,
        54.06958143796725,
        56.980323067575924,
        60.27974350448863,
        63.91866921361452,
        67.84680879139302,
        72.01317501021141,
        76.36645635522996,
        80.855345561943,
        85.42883401002462,
        90.03648154015423,
        94.62867145857655,
        99.15686030165438,
        103.57383145310897,
        107.83396100901354,
        111.89350339628658,
        115.71090315139237,
        119.24713790169815,
        122.46609588115726,
        125.33498916711315,
        127.82480117477505,
        129.91076375737833,
        131.57285556427567,
        132.79630921595785,
        133.57211056792605,
        133.89746914981356,
        133.77623516099177,
        133.21923561382508,
        132.24450079290958,
        130.87735255887634,
        129.15032848993692,
        127.10292058648922,
        124.78111422057434,
        122.2367219097201,
        119.52651680944041,
        116.71118181856345,
        113.85410100439398,
        111.02002976586903,
        108.27368791432106,
        105.6783249925927,
        103.29430926366713,
        101.17779078060116,
        99.37948501330214,
        97.94361713661131,
        96.90705894886166,
        96.2986812475282,
        96.13893507868582,
        96.43966623182989,
        97.20415913563299,
        98.42739919322447,
        100.09653666185571,
        102.1915303684076,
        104.68594570451334,
        107.54787828217992,
        110.74097220239446,
        114.2255000212533,
        117.9594702145362,
        121.89972736270242,
        126.00301059539348,
        130.2269372664532,
        134.5308815691558,
        138.87672195737815,
        143.2294367967304,
        147.5575344638973,
        151.83331182333546,
        156.03294319022893,
        160.13641000576996,
        164.12728894950715,
        167.99242257556978,
        171.72150136043035,
        175.30658899910688,
        178.74162374870343,
        182.02192761288973,
        185.1437523467136,
        188.10388690683516,
        190.8993454228936,
        193.52714840996316,
        195.98420318355892,
        198.26728267449658,
        200.37309544535884,
        202.29843402360805,
        204.0403839850059,
        205.59657278735983,
        206.9654353463294,
        208.14647286255533,
        209.1404824651806,
        209.94973774838485,
        210.5781040659159,
        211.03107724700598,
        211.31573986767376,
        211.44063497071494,
        211.41556277821653,
        211.25131110332362,
        210.95933451339002,
        210.55140056906095,
        210.0392234959883,
        209.43410636567862,
        208.74661228786698,
        207.98628334728505,
        207.16142321539039,
        206.27895574188958
      ],
      "counting_noise_perturbation_10_90percent_km": [
        5.9336852523919505,
        5.961713764813127
      ],
      "perturbation_trials": 256,
      "seed": 1011,
      "reduced_chi_squared": 107.21960393537528,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    },
    {
      "radius_window_km": [
        125510,
        125590
      ],
      "points": 80,
      "minimum_searched_wavelength_km": 3,
      "dominant_spatial_wavelength_km": 5.171818835370238,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016930775646371975,
        0.017194884626077288,
        0.017458993605782597,
        0.017723102585487906,
        0.017987211565193215,
        0.018251320544898527,
        0.018515429524603836,
        0.018779538504309145,
        0.019043647484014457,
        0.019307756463719766,
        0.019571865443425075,
        0.019835974423130384,
        0.020100083402835697,
        0.020364192382541006,
        0.020628301362246318,
        0.020892410341951627,
        0.021156519321656936,
        0.021420628301362245,
        0.021684737281067557,
        0.021948846260772866,
        0.022212955240478175,
        0.022477064220183487,
        0.022741173199888796,
        0.023005282179594105,
        0.023269391159299414,
        0.023533500139004727,
        0.023797609118710036,
        0.024061718098415345,
        0.024325827078120657,
        0.024589936057825966,
        0.024854045037531275,
        0.025118154017236584,
        0.025382262996941896,
        0.025646371976647205,
        0.025910480956352518,
        0.026174589936057827,
        0.026438698915763136,
        0.026702807895468444,
        0.026966916875173753,
        0.027231025854879066,
        0.027495134834584375,
        0.027759243814289687,
        0.028023352793994996,
        0.028287461773700305,
        0.028551570753405614,
        0.028815679733110923,
        0.029079788712816235,
        0.029343897692521544,
        0.029608006672226857,
        0.029872115651932166,
        0.030136224631637475,
        0.030400333611342784,
        0.030664442591048093,
        0.030928551570753405,
        0.031192660550458717,
        0.031456769530164026,
        0.031720878509869335,
        0.031984987489574644,
        0.03224909646927995,
        0.03251320544898527,
        0.03277731442869057,
        0.03304142340839589,
        0.033305532388101196,
        0.033569641367806505,
        0.033833750347511814,
        0.03409785932721712,
        0.03436196830692244,
        0.03462607728662774,
        0.034890186266333056,
        0.035154295246038365,
        0.035418404225743674,
        0.03568251320544898,
        0.03594662218515429,
        0.03621073116485961,
        0.03647484014456491,
        0.036738949124270226,
        0.037003058103975535,
        0.037267167083680844,
        0.03753127606338615,
        0.03779538504309146,
        0.03805949402279678,
        0.03832360300250208,
        0.038587711982207396,
        0.038851820961912704,
        0.03911592994161801,
        0.03938003892132333,
        0.03964414790102863,
        0.03990825688073395,
        0.04017236586043925,
        0.040436474840144565,
        0.040700583819849874,
        0.04096469279955518,
        0.0412288017792605,
        0.0414929107589658,
        0.04175701973867112,
        0.04202112871837642,
        0.042285237698081735,
        0.042549346677787044,
        0.04281345565749235,
        0.04307756463719767,
        0.04334167361690297,
        0.043605782596608286,
        0.043869891576313595,
        0.044134000556018904,
        0.04439810953572421,
        0.04466221851542952,
        0.04492632749513484,
        0.04519043647484014,
        0.045454545454545456,
        0.045718654434250765,
        0.045982763413956074,
        0.04624687239366138,
        0.04651098137336669,
        0.04677509035307201,
        0.04703919933277731,
        0.047303308312482625,
        0.047567417292187934,
        0.04783152627189324,
        0.04809563525159856,
        0.04835974423130386,
        0.04862385321100918,
        0.04888796219071448,
        0.049152071170419795,
        0.0494161801501251,
        0.04968028912983041,
        0.04994439810953573,
        0.05020850708924103,
        0.05047261606894635,
        0.05073672504865165,
        0.051000834028356964,
        0.051264943008062266,
        0.05152905198776758,
        0.0517931609674729,
        0.0520572699471782,
        0.052321378926883516,
        0.05258548790658882,
        0.052849596886294134,
        0.053113705865999436,
        0.05337781484570475,
        0.05364192382541007,
        0.05390603280511537,
        0.054170141784820686,
        0.05443425076452599,
        0.054698359744231304,
        0.05496246872393662,
        0.05522657770364192,
        0.05549068668334724,
        0.05575479566305254,
        0.056018904642757855,
        0.05628301362246316,
        0.05654712260216847,
        0.05681123158187379,
        0.05707534056157909,
        0.05733944954128441,
        0.05760355852098971,
        0.057867667500695025,
        0.05813177648040033,
        0.05839588546010564,
        0.05865999443981096,
        0.05892410341951626,
        0.059188212399221576,
        0.05945232137892688,
        0.059716430358632194,
        0.059980539338337496,
        0.06024464831804281,
        0.06050875729774813,
        0.06077286627745343,
        0.061036975257158746,
        0.06130108423686405,
        0.061565193216569364,
        0.061829302196274666,
        0.06209341117597998,
        0.0623575201556853,
        0.0626216291353906,
        0.06288573811509592,
        0.06314984709480122,
        0.06341395607450653,
        0.06367806505421184,
        0.06394217403391715,
        0.06420628301362247,
        0.06447039199332777,
        0.06473450097303309,
        0.06499860995273839,
        0.0652627189324437,
        0.065526827912149,
        0.06579093689185432,
        0.06605504587155964,
        0.06631915485126494,
        0.06658326383097025,
        0.06684737281067556,
        0.06711148179038087,
        0.06737559077008617,
        0.06763969974979149,
        0.0679038087294968,
        0.06816791770920211,
        0.06843202668890742,
        0.06869613566861273,
        0.06896024464831804,
        0.06922435362802336,
        0.06948846260772866,
        0.06975257158743398,
        0.07001668056713928,
        0.0702807895468446,
        0.0705448985265499,
        0.07080900750625521,
        0.07107311648596053,
        0.07133722546566583,
        0.07160133444537115,
        0.07186544342507645,
        0.07212955240478176,
        0.07239366138448707,
        0.07265777036419238,
        0.0729218793438977,
        0.073185988323603,
        0.07345009730330831,
        0.07371420628301362,
        0.07397831526271893,
        0.07424242424242423,
        0.07450653322212955,
        0.07477064220183487,
        0.07503475118154017,
        0.07529886016124548,
        0.07556296914095079,
        0.0758270781206561,
        0.0760911871003614,
        0.07635529608006672,
        0.07661940505977204,
        0.07688351403947734,
        0.07714762301918265,
        0.07741173199888796,
        0.07767584097859327,
        0.07793994995829857,
        0.07820405893800389,
        0.0784681679177092,
        0.07873227689741451,
        0.07899638587711982,
        0.07926049485682513,
        0.07952460383653044,
        0.07978871281623574,
        0.08005282179594106,
        0.08031693077564636,
        0.08058103975535168,
        0.080845148735057,
        0.0811092577147623,
        0.08137336669446761,
        0.08163747567417291,
        0.08190158465387823,
        0.08216569363358353,
        0.08242980261328885,
        0.08269391159299416,
        0.08295802057269946,
        0.08322212955240478,
        0.08348623853211008,
        0.0837503475118154,
        0.0840144564915207,
        0.08427856547122602,
        0.08454267445093133,
        0.08480678343063663,
        0.08507089241034195,
        0.08533500139004725,
        0.08559911036975257,
        0.08586321934945787,
        0.08612732832916319,
        0.0863914373088685,
        0.0866555462885738,
        0.08691965526827912,
        0.08718376424798442,
        0.08744787322768974,
        0.08771198220739504,
        0.08797609118710036,
        0.08824020016680567,
        0.08850430914651097,
        0.08876841812621629,
        0.08903252710592159,
        0.08929663608562691,
        0.08956074506533221,
        0.08982485404503752,
        0.09008896302474284,
        0.09035307200444814,
        0.09061718098415346,
        0.09088128996385876,
        0.09114539894356408,
        0.09140950792326939,
        0.0916736169029747,
        0.09193772588268001,
        0.09220183486238531,
        0.09246594384209063,
        0.09273005282179593,
        0.09299416180150125,
        0.09325827078120656,
        0.09352237976091186,
        0.09378648874061718,
        0.09405059772032248,
        0.0943147067000278,
        0.0945788156797331,
        0.09484292465943842,
        0.09510703363914373,
        0.09537114261884903,
        0.09563525159855435,
        0.09589936057825965,
        0.09616346955796497,
        0.09642757853767027,
        0.09669168751737559,
        0.0969557964970809,
        0.0972199054767862,
        0.09748401445649152,
        0.09774812343619682,
        0.09801223241590214,
        0.09827634139560744,
        0.09854045037531275,
        0.09880455935501807,
        0.09906866833472337,
        0.09933277731442869,
        0.09959688629413399,
        0.0998609952738393,
        0.10012510425354461,
        0.10038921323324992,
        0.10065332221295524,
        0.10091743119266054,
        0.10118154017236586,
        0.10144564915207116,
        0.10170975813177648,
        0.10197386711148178,
        0.1022379760911871,
        0.10250208507089241,
        0.10276619405059771,
        0.10303030303030303,
        0.10329441201000833,
        0.10355852098971365,
        0.10382262996941895,
        0.10408673894912426,
        0.10435084792882958,
        0.10461495690853488,
        0.1048790658882402,
        0.1051431748679455,
        0.10540728384765082,
        0.10567139282735613,
        0.10593550180706143,
        0.10619961078676675,
        0.10646371976647205,
        0.10672782874617737,
        0.10699193772588267,
        0.10725604670558798,
        0.1075201556852933,
        0.1077842646649986,
        0.10804837364470392,
        0.10831248262440922,
        0.10857659160411454,
        0.10884070058381984,
        0.10910480956352515,
        0.10936891854323047,
        0.10963302752293577,
        0.10989713650264109,
        0.11016124548234639,
        0.1104253544620517,
        0.11068946344175701,
        0.11095357242146232,
        0.11121768140116764,
        0.11148179038087294,
        0.11174589936057826,
        0.11201000834028356,
        0.11227411731998888,
        0.11253822629969418,
        0.1128023352793995,
        0.11306644425910481,
        0.11333055323881011,
        0.11359466221851543,
        0.11385877119822073,
        0.11412288017792604,
        0.11438698915763135,
        0.11465109813733666,
        0.11491520711704198,
        0.11517931609674728,
        0.1154434250764526,
        0.1157075340561579,
        0.11597164303586321,
        0.11623575201556852,
        0.11649986099527383,
        0.11676396997497915,
        0.11702807895468445,
        0.11729218793438977,
        0.11755629691409507,
        0.11782040589380038,
        0.11808451487350569,
        0.118348623853211,
        0.11861273283291632,
        0.11887684181262162,
        0.11914095079232694,
        0.11940505977203224,
        0.11966916875173755,
        0.11993327773144287,
        0.12019738671114817,
        0.12046149569085349,
        0.12072560467055879,
        0.1209897136502641,
        0.12125382262996941,
        0.12151793160967472,
        0.12178204058938004,
        0.12204614956908534,
        0.12231025854879066,
        0.12257436752849596,
        0.12283847650820127,
        0.12310258548790658,
        0.12336669446761189,
        0.12363080344731721,
        0.12389491242702251,
        0.12415902140672783,
        0.12442313038643313,
        0.12468723936613844,
        0.12495134834584375,
        0.12521545732554906,
        0.1254795663052544,
        0.1257436752849597,
        0.126007784264665,
        0.1262718932443703,
        0.12653600222407563,
        0.12680011120378093,
        0.12706422018348623,
        0.12732832916319156,
        0.12759243814289686,
        0.12785654712260217,
        0.12812065610230747,
        0.1283847650820128,
        0.1286488740617181,
        0.1289129830414234,
        0.12917709202112873,
        0.12944120100083403,
        0.12970530998053934,
        0.12996941896024464,
        0.13023352793994997,
        0.13049763691965527,
        0.13076174589936057,
        0.1310258548790659,
        0.1312899638587712,
        0.1315540728384765,
        0.1318181818181818,
        0.13208229079788714,
        0.13234639977759244,
        0.13261050875729774,
        0.13287461773700307,
        0.13313872671670837,
        0.13340283569641367,
        0.13366694467611898,
        0.1339310536558243,
        0.1341951626355296,
        0.1344592716152349,
        0.13472338059494024,
        0.13498748957464554,
        0.13525159855435084,
        0.13551570753405615,
        0.13577981651376148,
        0.13604392549346678,
        0.13630803447317208,
        0.1365721434528774,
        0.1368362524325827,
        0.137100361412288,
        0.13736447039199332,
        0.13762857937169864,
        0.13789268835140395,
        0.13815679733110925,
        0.13842090631081458,
        0.13868501529051988,
        0.13894912427022518,
        0.13921323324993048,
        0.13947734222963581,
        0.13974145120934112,
        0.14000556018904642,
        0.14026966916875175,
        0.14053377814845705,
        0.14079788712816235,
        0.14106199610786765,
        0.14132610508757298,
        0.14159021406727829,
        0.1418543230469836,
        0.1421184320266889,
        0.14238254100639422,
        0.14264664998609952,
        0.14291075896580482,
        0.14317486794551015,
        0.14343897692521546,
        0.14370308590492076,
        0.14396719488462606,
        0.1442313038643314,
        0.1444954128440367,
        0.144759521823742,
        0.14502363080344732,
        0.14528773978315263,
        0.14555184876285793,
        0.14581595774256323,
        0.14608006672226856,
        0.14634417570197386,
        0.14660828468167916,
        0.1468723936613845,
        0.1471365026410898,
        0.1474006116207951,
        0.1476647206005004,
        0.14792882958020573,
        0.14819293855991103,
        0.14845704753961633,
        0.14872115651932166,
        0.14898526549902696,
        0.14924937447873227,
        0.14951348345843757,
        0.1497775924381429,
        0.1500417014178482,
        0.1503058103975535,
        0.15056991937725883,
        0.15083402835696413,
        0.15109813733666944,
        0.15136224631637474,
        0.15162635529608007,
        0.15189046427578537,
        0.15215457325549067,
        0.152418682235196,
        0.1526827912149013,
        0.1529469001946066,
        0.1532110091743119,
        0.15347511815401724,
        0.15373922713372254,
        0.15400333611342784,
        0.15426744509313317,
        0.15453155407283847,
        0.15479566305254377,
        0.15505977203224908,
        0.1553238810119544,
        0.1555879899916597,
        0.155852098971365,
        0.15611620795107034,
        0.15638031693077564,
        0.15664442591048094,
        0.15690853489018625,
        0.15717264386989158,
        0.15743675284959688,
        0.15770086182930218,
        0.1579649708090075,
        0.1582290797887128,
        0.15849318876841811,
        0.15875729774812342,
        0.15902140672782875,
        0.15928551570753405,
        0.15954962468723935,
        0.15981373366694468,
        0.16007784264664998,
        0.16034195162635528,
        0.16060606060606059,
        0.16087016958576592,
        0.16113427856547122,
        0.16139838754517652,
        0.16166249652488185,
        0.16192660550458715,
        0.16219071448429245,
        0.16245482346399776,
        0.16271893244370308,
        0.1629830414234084,
        0.1632471504031137,
        0.16351125938281902,
        0.16377536836252432,
        0.16403947734222962,
        0.16430358632193492,
        0.16456769530164025,
        0.16483180428134556,
        0.16509591326105086,
        0.1653600222407562,
        0.1656241312204615,
        0.1658882402001668,
        0.16615234917987212,
        0.16641645815957742,
        0.16668056713928273,
        0.16694467611898803,
        0.16720878509869336,
        0.16747289407839866,
        0.16773700305810396,
        0.1680011120378093,
        0.1682652210175146,
        0.1685293299972199,
        0.1687934389769252,
        0.16905754795663053,
        0.16932165693633583,
        0.16958576591604113,
        0.16984987489574646,
        0.17011398387545176,
        0.17037809285515707,
        0.17064220183486237,
        0.1709063108145677,
        0.171170419794273,
        0.1714345287739783,
        0.17169863775368363,
        0.17196274673338893,
        0.17222685571309423,
        0.17249096469279954,
        0.17275507367250487,
        0.17301918265221017,
        0.17328329163191547,
        0.1735474006116208,
        0.1738115095913261,
        0.1740756185710314,
        0.1743397275507367,
        0.17460383653044204,
        0.17486794551014734,
        0.17513205448985264,
        0.17539616346955797,
        0.17566027244926327,
        0.17592438142896857,
        0.17618849040867388,
        0.1764525993883792,
        0.1767167083680845,
        0.1769808173477898,
        0.17724492632749514,
        0.17750903530720044,
        0.17777314428690574,
        0.17803725326661105,
        0.17830136224631637,
        0.17856547122602168,
        0.17882958020572698,
        0.1790936891854323,
        0.1793577981651376,
        0.1796219071448429,
        0.17988601612454821,
        0.18015012510425354,
        0.18041423408395885,
        0.18067834306366415,
        0.18094245204336948,
        0.18120656102307478,
        0.18147067000278008,
        0.18173477898248538,
        0.18199888796219071,
        0.18226299694189602,
        0.18252710592160132,
        0.18279121490130665,
        0.18305532388101195,
        0.18331943286071725,
        0.18358354184042255,
        0.18384765082012788,
        0.18411175979983319,
        0.1843758687795385,
        0.18463997775924382,
        0.18490408673894912,
        0.18516819571865442,
        0.18543230469835972,
        0.18569641367806505,
        0.18596052265777036,
        0.18622463163747566,
        0.186488740617181,
        0.1867528495968863,
        0.1870169585765916,
        0.1872810675562969,
        0.18754517653600222,
        0.18780928551570752,
        0.18807339449541283,
        0.18833750347511816,
        0.18860161245482346,
        0.18886572143452876,
        0.18912983041423406,
        0.1893939393939394,
        0.1896580483736447,
        0.18992215735335,
        0.19018626633305533,
        0.19045037531276063,
        0.19071448429246593,
        0.19097859327217123,
        0.19124270225187656,
        0.19150681123158186,
        0.19177092021128717,
        0.1920350291909925,
        0.1922991381706978,
        0.1925632471504031,
        0.19282735613010843,
        0.19309146510981373,
        0.19335557408951903,
        0.19361968306922434,
        0.19388379204892967,
        0.19414790102863497,
        0.19441201000834027,
        0.1946761189880456,
        0.1949402279677509,
        0.1952043369474562,
        0.1954684459271615,
        0.19573255490686683,
        0.19599666388657214,
        0.19626077286627744,
        0.19652488184598277,
        0.19678899082568807,
        0.19705309980539337,
        0.19731720878509867,
        0.197581317764804,
        0.1978454267445093,
        0.1981095357242146,
        0.19837364470391994,
        0.19863775368362524,
        0.19890186266333054,
        0.19916597164303584,
        0.19943008062274117,
        0.19969418960244648,
        0.19995829858215178,
        0.2002224075618571,
        0.2004865165415624,
        0.2007506255212677,
        0.201014734500973,
        0.20127884348067834,
        0.20154295246038365,
        0.20180706144008895,
        0.20207117041979428,
        0.20233527939949958,
        0.20259938837920488,
        0.20286349735891018,
        0.2031276063386155,
        0.20339171531832081,
        0.20365582429802612,
        0.20391993327773145,
        0.20418404225743675,
        0.20444815123714205,
        0.20471226021684735,
        0.20497636919655268,
        0.20524047817625798,
        0.2055045871559633,
        0.20576869613566862,
        0.20603280511537392,
        0.20629691409507922,
        0.20656102307478452,
        0.20682513205448985,
        0.20708924103419515,
        0.20735335001390046,
        0.20761745899360579,
        0.2078815679733111,
        0.2081456769530164,
        0.2084097859327217,
        0.20867389491242702,
        0.20893800389213232,
        0.20920211287183763,
        0.20946622185154296,
        0.20973033083124826,
        0.20999443981095356,
        0.21025854879065886,
        0.2105226577703642,
        0.2107867667500695,
        0.2110508757297748,
        0.21131498470948012,
        0.21157909368918543,
        0.21184320266889073,
        0.21210731164859603,
        0.21237142062830136,
        0.21263552960800666,
        0.21289963858771196,
        0.2131637475674173,
        0.2134278565471226,
        0.2136919655268279,
        0.2139560745065332,
        0.21422018348623853,
        0.21448429246594383,
        0.21474840144564913,
        0.21501251042535446,
        0.21527661940505977,
        0.21554072838476507,
        0.21580483736447037,
        0.2160689463441757,
        0.216333055323881,
        0.2165971643035863,
        0.21686127328329163,
        0.21712538226299694,
        0.21738949124270224,
        0.21765360022240754,
        0.21791770920211287,
        0.21818181818181817,
        0.21844592716152347,
        0.2187100361412288,
        0.2189741451209341,
        0.2192382541006394,
        0.2195023630803447,
        0.21976647206005004,
        0.22003058103975534,
        0.22029469001946064,
        0.22055879899916597,
        0.22082290797887127,
        0.22108701695857658,
        0.2213511259382819,
        0.2216152349179872,
        0.2218793438976925,
        0.2221434528773978,
        0.22240756185710314,
        0.22267167083680844,
        0.22293577981651375,
        0.22319988879621908,
        0.22346399777592438,
        0.22372810675562968,
        0.22399221573533498,
        0.2242563247150403,
        0.2245204336947456,
        0.22478454267445092,
        0.22504865165415625,
        0.22531276063386155,
        0.22557686961356685,
        0.22584097859327215,
        0.22610508757297748,
        0.22636919655268278,
        0.22663330553238809,
        0.22689741451209341,
        0.22716152349179872,
        0.22742563247150402,
        0.22768974145120932,
        0.22795385043091465,
        0.22821795941061995,
        0.22848206839032525,
        0.22874617737003058,
        0.2290102863497359,
        0.2292743953294412,
        0.2295385043091465,
        0.22980261328885182,
        0.23006672226855712,
        0.23033083124826242,
        0.23059494022796775,
        0.23085904920767306,
        0.23112315818737836,
        0.23138726716708366,
        0.231651376146789,
        0.2319154851264943,
        0.2321795941061996,
        0.23244370308590492,
        0.23270781206561023,
        0.23297192104531553,
        0.23323603002502083,
        0.23350013900472616,
        0.23376424798443146,
        0.23402835696413676,
        0.2342924659438421,
        0.2345565749235474,
        0.2348206839032527,
        0.235084792882958,
        0.23534890186266333,
        0.23561301084236863,
        0.23587711982207393,
        0.23614122880177926,
        0.23640533778148456,
        0.23666944676118987,
        0.23693355574089517,
        0.2371976647206005,
        0.2374617737003058,
        0.2377258826800111,
        0.23798999165971643,
        0.23825410063942173,
        0.23851820961912704,
        0.23878231859883234,
        0.23904642757853767,
        0.23931053655824297,
        0.23957464553794827,
        0.2398387545176536,
        0.2401028634973589,
        0.2403669724770642,
        0.2406310814567695,
        0.24089519043647484,
        0.24115929941618014,
        0.24142340839588544,
        0.24168751737559077,
        0.24195162635529607,
        0.24221573533500138,
        0.24247984431470668,
        0.242743953294412,
        0.2430080622741173,
        0.2432721712538226,
        0.24353628023352794,
        0.24380038921323324,
        0.24406449819293854,
        0.24432860717264385,
        0.24459271615234918,
        0.24485682513205448,
        0.24512093411175978,
        0.2453850430914651,
        0.2456491520711704,
        0.24591326105087571,
        0.24617737003058102,
        0.24644147901028635,
        0.24670558798999165,
        0.24696969696969695,
        0.24723380594940228,
        0.24749791492910758,
        0.24776202390881288,
        0.2480261328885182,
        0.24829024186822352,
        0.24855435084792882,
        0.24881845982763412,
        0.24908256880733945,
        0.24934667778704475,
        0.24961078676675005,
        0.24987489574645538,
        0.2501390047261607,
        0.250403113705866,
        0.2506672226855713,
        0.25093133166527665,
        0.25119544064498195,
        0.25145954962468725,
        0.25172365860439255,
        0.25198776758409785,
        0.25225187656380316,
        0.25251598554350846,
        0.2527800945232138,
        0.2530442035029191,
        0.2533083124826244,
        0.2535724214623297,
        0.253836530442035,
        0.2541006394217403,
        0.25436474840144563,
        0.254628857381151,
        0.2548929663608563,
        0.2551570753405616,
        0.2554211843202669,
        0.2556852932999722,
        0.2559494022796775,
        0.2562135112593828,
        0.25647762023908816,
        0.25674172921879346,
        0.25700583819849876,
        0.25726994717820406,
        0.25753405615790936,
        0.25779816513761467,
        0.25806227411731997,
        0.2583263830970253,
        0.2585904920767306,
        0.25885460105643593,
        0.25911871003614123,
        0.25938281901584653,
        0.25964692799555184,
        0.25991103697525714,
        0.2601751459549625,
        0.2604392549346678,
        0.2607033639143731,
        0.2609674728940784,
        0.2612315818737837,
        0.261495690853489,
        0.2617597998331943,
        0.26202390881289966,
        0.26228801779260497,
        0.26255212677231027,
        0.26281623575201557,
        0.26308034473172087,
        0.2633444537114262,
        0.2636085626911315,
        0.26387267167083683,
        0.26413678065054214,
        0.26440088963024744,
        0.26466499860995274,
        0.26492910758965804,
        0.26519321656936334,
        0.26545732554906865,
        0.265721434528774,
        0.2659855435084793,
        0.2662496524881846,
        0.2665137614678899,
        0.2667778704475952,
        0.2670419794273005,
        0.2673060884070058,
        0.2675701973867111,
        0.2678343063664165,
        0.2680984153461218,
        0.2683625243258271,
        0.2686266333055324,
        0.2688907422852377,
        0.269154851264943,
        0.2694189602446483,
        0.26968306922435364,
        0.26994717820405895,
        0.27021128718376425,
        0.27047539616346955,
        0.27073950514317485,
        0.27100361412288015,
        0.27126772310258546,
        0.2715318320822908,
        0.2717959410619961,
        0.2720600500417014,
        0.2723241590214067,
        0.272588268001112,
        0.2728523769808173,
        0.2731164859605226,
        0.273380594940228,
        0.2736447039199333,
        0.2739088128996386,
        0.2741729218793439,
        0.2744370308590492,
        0.2747011398387545,
        0.2749652488184598,
        0.27522935779816515,
        0.27549346677787045,
        0.27575757575757576,
        0.27602168473728106,
        0.27628579371698636,
        0.27654990269669166,
        0.27681401167639696,
        0.2770781206561023,
        0.2773422296358076,
        0.2776063386155129,
        0.27787044759521823,
        0.27813455657492353,
        0.27839866555462883,
        0.27866277453433413,
        0.2789268835140395,
        0.2791909924937448,
        0.2794551014734501,
        0.2797192104531554,
        0.2799833194328607,
        0.280247428412566,
        0.2805115373922713,
        0.28077564637197666,
        0.28103975535168196,
        0.28130386433138727,
        0.28156797331109257,
        0.28183208229079787,
        0.28209619127050317,
        0.2823603002502085,
        0.28262440922991383,
        0.28288851820961913,
        0.28315262718932444,
        0.28341673616902974,
        0.28368084514873504,
        0.28394495412844034,
        0.28420906310814564,
        0.284473172087851,
        0.2847372810675563,
        0.2850013900472616,
        0.2852654990269669,
        0.2855296080066722,
        0.2857937169863775,
        0.2860578259660828,
        0.28632193494578817,
        0.28658604392549347,
        0.2868501529051988,
        0.2871142618849041,
        0.2873783708646094,
        0.2876424798443147,
        0.28790658882402,
        0.28817069780372534,
        0.28843480678343064,
        0.28869891576313594,
        0.28896302474284125,
        0.28922713372254655,
        0.28949124270225185,
        0.28975535168195715,
        0.2900194606616625,
        0.2902835696413678,
        0.2905476786210731,
        0.2908117876007784,
        0.2910758965804837,
        0.291340005560189,
        0.2916041145398943,
        0.2918682235195997,
        0.292132332499305,
        0.2923964414790103,
        0.2926605504587156,
        0.2929246594384209,
        0.2931887684181262,
        0.2934528773978315,
        0.29371698637753685,
        0.29398109535724215,
        0.29424520433694745,
        0.29450931331665275,
        0.29477342229635806,
        0.29503753127606336,
        0.29530164025576866,
        0.295565749235474,
        0.2958298582151793,
        0.2960939671948846,
        0.2963580761745899,
        0.2966221851542952,
        0.29688629413400053,
        0.29715040311370583,
        0.2974145120934112,
        0.2976786210731165,
        0.2979427300528218,
        0.2982068390325271,
        0.2984709480122324,
        0.2987350569919377,
        0.298999165971643,
        0.29926327495134836,
        0.29952738393105366,
        0.29979149291075896,
        0.30005560189046426,
        0.30031971087016957,
        0.30058381984987487,
        0.30084792882958017,
        0.3011120378092855,
        0.30137614678899083,
        0.30164025576869613,
        0.30190436474840143,
        0.30216847372810673,
        0.30243258270781204,
        0.30269669168751734,
        0.3029608006672227,
        0.303224909646928,
        0.3034890186266333,
        0.3037531276063386,
        0.3040172365860439,
        0.3042813455657492,
        0.3045454545454545,
        0.30480956352515987,
        0.30507367250486517,
        0.30533778148457047,
        0.30560189046427577,
        0.3058659994439811,
        0.3061301084236864,
        0.3063942174033917,
        0.30665832638309704,
        0.30692243536280234,
        0.30718654434250764,
        0.30745065332221294,
        0.30771476230191824,
        0.30797887128162355,
        0.30824298026132885,
        0.3085070892410342,
        0.3087711982207395,
        0.3090353072004448,
        0.3092994161801501,
        0.3095635251598554,
        0.3098276341395607,
        0.310091743119266,
        0.3103558520989714,
        0.3106199610786767,
        0.310884070058382,
        0.3111481790380873,
        0.3114122880177926,
        0.3116763969974979,
        0.3119405059772032,
        0.31220461495690854,
        0.31246872393661385,
        0.31273283291631915,
        0.31299694189602445,
        0.31326105087572975,
        0.31352515985543505,
        0.31378926883514036,
        0.3140533778148457,
        0.314317486794551,
        0.3145815957742563,
        0.3148457047539616,
        0.3151098137336669,
        0.3153739227133722,
        0.3156380316930776,
        0.3159021406727829,
        0.3161662496524882,
        0.3164303586321935,
        0.3166944676118988,
        0.3169585765916041,
        0.3172226855713094,
        0.31748679455101475,
        0.31775090353072005,
        0.31801501251042535,
        0.31827912149013066,
        0.31854323046983596,
        0.31880733944954126,
        0.31907144842924656,
        0.3193355574089519,
        0.3195996663886572,
        0.3198637753683625,
        0.3201278843480678,
        0.32039199332777313,
        0.32065610230747843,
        0.32092021128718373,
        0.3211843202668891,
        0.3214484292465944,
        0.3217125382262997,
        0.321976647206005,
        0.3222407561857103,
        0.3225048651654156,
        0.3227689741451209,
        0.32303308312482626,
        0.32329719210453156,
        0.32356130108423686,
        0.32382541006394217,
        0.32408951904364747,
        0.32435362802335277,
        0.32461773700305807,
        0.32488184598276343,
        0.32514595496246873,
        0.32541006394217403,
        0.32567417292187933,
        0.32593828190158464,
        0.32620239088128994,
        0.32646649986099524,
        0.3267306088407006,
        0.3269947178204059,
        0.3272588268001112,
        0.3275229357798165,
        0.3277870447595218,
        0.3280511537392271,
        0.3283152627189324,
        0.32857937169863777,
        0.32884348067834307,
        0.32910758965804837,
        0.3293716986377537,
        0.329635807617459,
        0.3298999165971643,
        0.3301640255768696,
        0.33042813455657494,
        0.33069224353628024,
        0.33095635251598554,
        0.33122046149569084,
        0.33148457047539615,
        0.33174867945510145,
        0.33201278843480675,
        0.3322768974145121,
        0.3325410063942174,
        0.3328051153739227,
        0.333069224353628,
        0.3333333333333333
      ],
      "fit_improvement": [
        25.209745310269078,
        25.35717571201733,
        25.50372017090062,
        25.648741124938294,
        25.791510759456997,
        25.931200489787635,
        26.066869646487028,
        26.19745343919164,
        26.321750332114135,
        26.438409037715843,
        26.545915427938784,
        26.642579776739524,
        26.726524885115552,
        26.79567580021336,
        26.847752020999646,
        26.880263278242033,
        26.890510175212693,
        26.87559116019807,
        26.832417447761824,
        26.757737579670778,
        26.64817327786432,
        26.50026804496534,
        26.310549566549383,
        26.075606325789497,
        25.7921779365914,
        25.457257550768876,
        25.068203360010095,
        24.62285481340943,
        24.11964788380448,
        23.5577227645108,
        22.93701700141983,
        22.25833747203637,
        21.52340593306716,
        20.734875050424826,
        19.896314703923107,
        19.012171555871404,
        18.087707896661772,
        17.128928103711715,
        16.142502217823864,
        15.135695872844535,
        14.116314071763675,
        13.092663302391134,
        12.073532661767715,
        11.068190579567585,
        10.086390003820306,
        9.138372089587136,
        8.234856937927592,
        7.387010019451004,
        6.6063746361093,
        5.904763973334992,
        5.294110622694495,
        4.786276394608866,
        4.392830155014819,
        4.1248056315532935,
        3.992454023643581,
        4.005007358996929,
        4.170467661398296,
        4.495434227337336,
        4.984977042447496,
        5.642559218817885,
        6.470006029854145,
        7.467513371146434,
        8.633684859504957,
        9.965584661919113,
        11.458792648955642,
        13.107449507609743,
        14.904281786251547,
        16.840600153676522,
        18.906268089062102,
        21.08964245678497,
        23.377491678958307,
        25.754901257648193,
        28.205179996563157,
        30.709783203053757,
        33.24827116679156,
        35.79832203520422,
        38.33581755044808,
        40.83501772187678,
        43.26883621819194,
        45.60922208025361,
        47.82764552461492,
        49.8956766620704,
        51.78563671393175,
        53.471292812029986,
        54.92856084638426,
        56.136177111555185,
        57.07629943516311,
        57.73500231559015,
        58.10263805022808,
        58.17404605047449,
        57.94860424617349,
        57.430128214059415,
        56.62663401752375,
        55.54998861241841,
        54.215476409216876,
        52.641312057092314,
        50.8481280736962,
        48.85846227605623,
        46.69626494417887,
        44.38644015418019,
        41.95443051184413,
        39.425850145144764,
        36.826167566310815,
        34.18043793573764,
        31.513083194402586,
        28.84771818490916,
        26.20702089835558,
        23.61264501946507,
        21.085172719484277,
        18.644104997494008,
        16.307885752653377,
        14.093954256116088,
        12.018818946412154,
        10.09814371356474,
        8.346836296157793,
        6.7791273021937775,
        5.408627845627033,
        4.24835397963817,
        3.3107070673645143,
        2.607400980387282,
        2.1493295407597843,
        1.9463708815568392,
        2.007129321336689,
        2.3386198164357586,
        2.9459049019169927,
        3.831699013668156,
        4.9959598717815155,
        6.435490786544085,
        8.14358084835398,
        10.109711488794705,
        12.31935740726336,
        14.753907030260494,
        17.390722404069564,
        20.203350887592567,
        23.16189168774396,
        26.233509927015554,
        29.38308052214311,
        32.573934739082546,
        35.76867486020759,
        38.93001772539668,
        42.021626426617644,
        45.008891191182784,
        47.85962514608665,
        50.544647572505795,
        53.0382356064118,
        55.31843423890458,
        57.36722311380154,
        59.17054637219457,
        60.71821822952511,
        62.00372188088409,
        63.02392268776052,
        63.778718506058716,
        64.27065064326058,
        64.50449847507437,
        64.48687938870668,
        64.22587360280404,
        63.73069066813978,
        63.01139118827079,
        62.078673626241724,
        60.94373210574448,
        59.618187015607006,
        58.114086143824494,
        56.44397016648627,
        54.620992755626006,
        52.65908248594015,
        50.573131222827094,
        48.37919184242954,
        46.09466702194973,
        43.73847048292255,
        41.33114250312401,
        38.89490276797771,
        36.45362574647088,
        34.03272678197809,
        31.65895099647818,
        29.360061883982105,
        27.164432010530547,
        25.100544342599328,
        23.196419081108065,
        21.478987062642833,
        19.973436293781276,
        18.702562456435267,
        17.686156730987488,
        16.940464595141506,
        16.477747106118315,
        16.30597152841287,
        16.428651255863052,
        16.84484627663627,
        17.54932563275572,
        18.53288325166514,
        19.78278902710405,
        21.283348881844013,
        23.016541381610235,
        24.962694700256172,
        27.10116653620256,
        29.410990897023773,
        31.871459258467144,
        34.46260907965253,
        37.16559954243603,
        39.962962163318224,
        42.83872207965227,
        45.778393838435825,
        48.768862954595704,
        51.79817094819897,
        54.855226674820635,
        57.929470271541646,
        61.010517793571374,
        64.08781456858794,
        67.15032352504936,
        70.18627145305985,
        73.18297162950566,
        76.12673585225224,
        79.00288308281772,
        81.79584598538663,
        84.48937101757434,
        87.06680264636509,
        89.51143791605683,
        91.80693408554086,
        93.93774941464632,
        95.88959540682032,
        97.64987788743397,
        99.20810420307474,
        100.55623458208507,
        101.68895734281824,
        102.6038702321783,
        103.30155377409085,
        103.78552711672543,
        104.06208242547561,
        104.14000020889893,
        104.03015479953487,
        103.74502613474573,
        103.29814049401222,
        102.70346839928982,
        101.97481193771283,
        101.12521586625218,
        100.16643669628642,
        99.10850141581504,
        97.9593826871366,
        96.72481056605105,
        95.40823250809345,
        94.01092426165077,
        92.532244857466,
        90.97001994247071,
        89.3210297669989,
        87.58157171457627,
        85.74806274090655,
        83.81764471515994,
        81.78875555832327,
        79.66163125307615,
        77.43870813920884,
        75.12490116848907,
        72.72774161293033,
        70.25736662586552,
        67.7263624728586,
        65.14947253895038,
        62.5431897182514,
        59.92525987662628,
        57.31412822205076,
        54.72836325057262,
        52.18609328621902,
        49.704488544176385,
        47.29931736777895,
        44.984599242576564,
        42.77236991372422,
        40.67256601845135,
        38.693028677309584,
        36.83961798947208,
        35.11642377683474,
        33.52605253621291,
        32.06996659634845,
        30.748849048731103,
        29.562967164141817,
        28.51250769858795,
        27.597859666570194,
        26.819823709945876,
        26.179731966450767,
        25.679468138717038,
        25.321384013541504,
        25.108115642873507,
        25.042309367214354,
        25.12627438512028,
        25.361584179472786,
        25.748653359623077,
        26.286319002467533,
        26.971456131682952,
        27.79865547725636,
        28.759988195774074,
        29.844877062956254,
        31.040087171944233,
        32.32984187883882,
        33.69606216893851,
        35.118720300158344,
        36.5762919847813,
        38.04628587856826,
        39.50582503364358,
        40.93225240721852,
        42.30373157174845,
        43.59981442789413,
        44.801949892608086,
        45.89391107392147,
        46.86212315137752,
        47.695879806844964,
        48.38744229784837,
        48.9320217957758,
        49.3276520538358,
        49.57496543976329,
        49.676890491341,
        49.63829309361023,
        49.465585869239064,
        49.1663312481273,
        48.74886288359261,
        48.221947676991235,
        47.59450684360004,
        46.875409482913014,
        46.07334636289375,
        45.19678548947128,
        44.25400491992377,
        43.25319258386478,
        42.20259794901784,
        41.11071650317456,
        39.986485442018605,
        38.83946780350356,
        37.6800026443898,
        36.51930070621476,
        35.369468280357246,
        34.24344649075576,
        33.15485872782333,
        32.117765177511906,
        31.146329924823732,
        30.254412558541553,
        29.45510213204141,
        28.76021632356231,
        28.179792312045702,
        27.721597942919637,
        27.39069200931814,
        27.189060852774713,
        27.115355064921552,
        27.164745053945136,
        27.328907951062106,
        27.596151190443443,
        27.95167057724373,
        28.377933260629696,
        28.855169233924233,
        29.36194922419737,
        29.87582246253504,
        30.373985098137098,
        30.833949076130143,
        31.234182164042785,
        31.554692392444625,
        31.77753427019938,
        31.88721944960633,
        31.87102068328298,
        31.719164515999548,
        31.424914752961158,
        30.984554912110013,
        30.397283210884577,
        29.66503783075206,
        28.79227300495377,
        27.785707745588702,
        26.65406873167349,
        25.40784709134777,
        24.059085696028518,
        22.621209389634934,
        21.108905610704156,
        19.538057477564607,
        17.9257259627039,
        16.290172644893172,
        14.650910037075846,
        13.028762945809667,
        11.445921970901285,
        9.925969280859452,
        8.493857300589303,
        7.175822933664642,
        5.999223329455477,
        4.992283816514923,
        4.183754187868889,
        3.602475691567534,
        3.276867441285667,
        3.2343470736188737,
        3.5007058967915947,
        4.099463090035142,
        5.0512263838621365,
        6.373087839027688,
        8.078082729211063,
        10.174737136846982,
        12.666725844165057,
        15.55265671373514,
        18.825991372451632,
        22.475105072382785,
        26.483481562728976,
        30.830032123694707,
        35.489522000217434,
        40.433082679385485,
        45.62878504214743,
        51.04224655199729,
        56.637245383175085,
        62.37631570171477,
        68.2213010656475,
        74.13384689746152,
        80.07581792902509,
        86.00963210537539,
        91.89850830863604,
        97.70663106668283,
        103.39924079343731,
        108.94266274885223,
        114.30429153520886,
        119.45255035465044,
        124.35684530998064,
        128.98753469026906,
        133.31593148536257,
        137.31435444406205,
        140.95623902924274,
        144.21631489111644,
        147.07085128131138,
        149.49796649250513,
        151.4779922584754,
        152.9938793956106,
        154.03162707874654,
        154.58071523893585,
        154.63451780317985,
        154.19067395377542,
        153.25139528748298,
        151.8236886580084,
        149.91947748751096,
        147.5556082831817,
        144.75373380269392,
        141.54006955579325,
        137.94502586490557,
        134.00272327716127,
        129.75040445967943,
        125.22776055688345,
        120.47619409250377,
        115.53804363176009,
        110.45579738899552,
        105.27132363076953,
        100.02514500691464,
        94.75578184239994,
        89.49918602738678,
        84.28828262640437,
        79.15263094820997,
        74.11821090227826,
        69.20733438856512,
        64.438675613147,
        59.827408966027214,
        55.385438762199804,
        51.12170197910769,
        47.04252327170977,
        43.15200105199969,
        39.45240421867448,
        35.94456105637216,
        32.62822466037172,
        29.502402701449395,
        26.565643125549897,
        23.816271188352573,
        21.252576788012743,
        18.872954157925975,
        16.675998449369153,
        14.660565467492617,
        12.825801781868904,
        11.171152632001377,
        9.696354558244224,
        8.401418622156537,
        7.286608583056468,
        6.3524166368521024,
        5.5995374765831745,
        5.028839676981161,
        4.641331899678669,
        4.4381202989639155,
        4.420352883914001,
        4.589146524152379,
        4.945492790818599,
        5.490139872507337,
        6.223449324380987,
        7.14522828467125,
        8.254539882582907,
        9.549496700589337,
        11.027044168501597,
        12.682742486017009,
        14.510556939951899,
        16.502667174817084,
        18.649306001827874,
        20.938637649869033,
        23.35668398365819,
        25.887305206775565,
        28.51223905275409,
        31.211199617274403,
        33.96203400778475,
        36.74093211447418,
        39.52268227157892,
        42.28096359363596,
        44.988664509033136,
        47.61821658374143,
        50.14193316758457,
        52.53234365886732,
        54.76251614661467,
        56.80636366029557,
        58.63893199083322,
        60.23666977184188,
        61.577683951380536,
        62.64198568962045,
        63.411732879122916,
        63.871475757747014,
        64.008411401018,
        63.812651254939105,
        63.27750339811777,
        62.399768077438246,
        61.180041484574886,
        59.62301902245748,
        57.737785773110744,
        55.53807884977815,
        53.042504106014825,
        50.2746885449618,
        47.26334991327069,
        44.04226647203059,
        40.65013279915008,
        37.13029156818528,
        33.53033633498902,
        29.901586123965807,
        26.298438656820068,
        22.777614997805188,
        19.397313800034937,
        16.21629787145411,
        13.292939154286145,
        10.684250238291678,
        8.444931116606366,
        6.626459051565483,
        5.276247240968809,
        4.436894625866323,
        4.145544871711377,
        4.43336752968053,
        5.325168904795311,
        6.839134489343147,
        8.986699231161563,
        11.772536660088672,
        15.194653248391525,
        19.244570575751382,
        23.90757512834283,
        29.163014072342975,
        34.98461524204265,
        41.340810940764484,
        48.19504795410012,
        55.50607030869666,
        63.22816656462046,
        71.31137949817708,
        79.70168252601306,
        88.34113369286621,
        97.16802401763665,
        106.1170419929895,
        115.11947962812125,
        124.10350724846806,
        132.99454405336593,
        141.71574903591906,
        150.18865227627077,
        158.3339399615169,
        166.07239803936824,
        173.32600959494457,
        180.01919039295032,
        186.08013619598825,
        191.44224516806074,
        196.04556964067442,
        199.83824447202053,
        202.77783479876663,
        204.83254465541438,
        205.98223001460636,
        206.21916534646638,
        205.5485216142786,
        203.98852527279413,
        201.57028164301087,
        198.33726115592447,
        194.34446243137677,
        189.65728100140007,
        184.3501257652248,
        178.50483616367774,
        172.2089609530298,
        165.55396393019018,
        158.63342283518395,
        151.54128498725527,
        144.37023726326646,
        137.21023924687836,
        130.14725735207205,
        123.26222514520364,
        116.63024170906917,
        110.32000648838306,
        104.3934763956051,
        98.90571975894828,
        93.90493259857519,
        89.43257624392785,
        85.52359182778746,
        82.20664690848523,
        79.50437238356301,
        77.43355376721217,
        76.00524941561557,
        75.22481883011112,
        75.09185603948116,
        75.60003545689133,
        76.73688967930546,
        78.4835496145071,
        80.81448631356302,
        83.69730029372194,
        87.09260744375952,
        90.9540704705872,
        95.22862112716443,
        99.85691121833425,
        104.77401988505775,
        109.91043139762357,
        115.19328231872568,
        120.5478602733686,
        125.8993196652453,
        131.17456357559604,
        136.30422685963995,
        141.22468415549778,
        145.87999904770695,
        150.2237276797513,
        154.2204921090614,
        157.84724574044793,
        161.0941650096068,
        163.96511752776794,
        166.47767625128495,
        168.66267077938588,
        170.56328933106516,
        172.2337669719039,
        173.73771595333062,
        175.1461714110553,
        176.5354391563513,
        177.98484113330423,
        179.57445782704468,
        181.3829652956425,
        183.48565764870244,
        185.95273406861278,
        188.84791348116758,
        192.22742057663282,
        196.13936510409724,
        200.6235134106704,
        205.71142837429335,
        211.42693252168016,
        217.78683052644746,
        224.801812616041,
        232.47745063869024,
        240.81519432643037,
        249.8132769662701,
        259.46744721083985,
        269.7714566946094,
        280.7172506924654,
        292.29483018989055,
        304.49177713657514,
        317.29245891063044,
        330.6769516789983,
        344.6197440069997,
        359.088300486051,
        374.041579245619,
        389.42860616615155,
        405.1872118554742,
        421.2430347232297,
        437.5088848155483,
        453.8845487854911,
        470.2570970982389,
        486.5017312066388,
        502.4831821347284,
        518.0576440318409,
        533.0751983072486,
        547.3826574875409,
        560.8267344865062,
        573.2574239390013,
        584.531468789985,
        594.5157782912393,
        603.09066339344,
        610.1527622569271,
        615.617541835039,
        619.4212804065901,
        621.522459409362,
        621.9025195690181,
        620.5659645956928,
        617.5398240649936,
        612.8725140042618,
        606.6321578136076,
        598.9044503285467,
        589.7901632114118,
        579.402399873184,
        567.8637125156922,
        555.3031926875622,
        541.8536402909735,
        527.648904839514,
        512.8214777451826,
        497.5003964697966,
        481.80950159368973,
        465.8660673723209,
        449.7798063044196,
        433.65222969337765,
        417.576330091364,
        401.63653864085666,
        385.90890122154605,
        370.4614122784926,
        355.35444430241955,
        340.6412139596532,
        326.3682324061223,
        312.57569675500343,
        299.2977912440864,
        286.5628795169268,
        274.39358270328387,
        262.80675078782446,
        251.8133462868259,
        241.418268818087,
        231.62015620501722,
        222.41120193379544,
        213.77702990667905,
        205.69666552687335,
        198.1426374243843,
        191.08123697352056,
        184.4729536918021,
        178.27309428278596,
        172.43258218984,
        166.89892377581236,
        161.6173173132395,
        156.53187246203058,
        151.5869013137637,
        146.72823773988654,
        141.90453988458734,
        137.068531219902,
        132.17813850400256,
        127.19748998843929,
        122.09774392668972,
        116.85772537957028,
        111.46435797552563,
        105.91288612884303,
        100.20689172448026,
        94.35811696772878,
        88.38611156664541,
        82.31772735722272,
        76.18648670048735,
        70.03185240463937,
        63.89842660630502,
        57.83510415396923,
        51.894202848680365,
        46.130588769527265,
        40.600810255239445,
        35.36224936126048,
        30.47229518431435,
        25.98753971906767,
        21.96299418589542,
        18.451322250235137,
        15.502086337621943,
        13.161004313140639,
        11.46921600673891,
        10.46256219434829,
        10.170882377548299,
        10.617341676769184,
        11.817800975988192,
        13.780247748770549,
        16.50430741135107,
        19.980856306932598,
        24.191757330481167,
        29.10973765958611,
        34.69842507655063,
        40.9125550692113,
        47.698355500090976,
        54.99410943443781,
        62.73089007605901,
        70.83345506784387,
        79.22128106942321,
        87.8097139038743,
        96.51120499856216,
        105.23660159483143,
        113.89645644760569,
        122.40232256783042,
        130.66799997206806,
        138.61070429654728,
        146.15213132527745,
        153.21939671958484,
        159.7458362088904,
        165.67165786171566,
        170.94444443577217,
        175.5195098445012,
        179.36011913759083,
        182.43758578328897,
        184.73126323315446,
        186.22844959630015,
        186.92422469009483,
        186.82123780152682,
        185.92946231386304,
        184.26593013700048,
        181.85445490789644,
        178.72534853158618,
        174.91513117453368,
        170.46623066475414,
        165.4266637398548,
        159.84968901111216,
        153.79342010742198,
        147.32038737017933,
        140.49703773436212,
        133.39316499334365,
        126.08126634386636,
        118.6358256864288,
        111.13252927966528,
        103.64742462330494,
        96.25603845372949,
        89.0324740657947,
        82.048511451492,
        75.37273567161674,
        69.06971925438192,
        63.19928317163185,
        57.815858137881754,
        52.96796379844197,
        48.69781812326845,
        45.041083393411654,
        42.02674900049624,
        39.677145332687026,
        38.00807772258566,
        37.029065148785556,
        36.74366538556429,
        37.1498667431074,
        38.24052646930482,
        40.003837207514124,
        42.42380542587922,
        45.48072916465598,
        49.1516664344382,
        53.41088974986921,
        58.23032620540674,
        63.5799858238675,
        69.42838332255153,
        75.74295971487192,
        82.49051016649534,
        89.63762323477863,
        97.15113413370037,
        104.99859118620147,
        113.14873044714687,
        121.57194896771529,
        130.24076273205225,
        139.13023134559364,
        148.2183284864771,
        157.48623529209308,
        166.9185335132629,
        176.5032766075269,
        186.23192003474398,
        196.0990968252399,
        206.10223086283622,
        216.24098800175543,
        226.51657375432455,
        236.93089539158296,
        247.485615363711,
        258.1811313955408,
        269.01552585070743,
        279.9835324141741,
        291.07557131043274,
        302.27690475921275,
        313.5669619316103,
        324.918877257077,
        336.299277703647,
        347.66834397899504,
        358.98015803663714,
        370.1833355276634,
        381.22192771448726,
        392.0365636873347,
        402.5657912852699,
        412.74756461323835,
        422.5208180152972,
        431.82706119693285,
        440.61192810030593,
        448.8266131806817,
        456.42913282818455,
        463.3853566344589,
        469.6697627392598,
        475.26588325715534,
        480.16641936260567,
        484.3730205169035,
        487.89573798868304,
        490.7521786029444,
        492.96639982086117,
        494.5676010094873,
        495.5886772843643,
        496.06471080552876,
        496.031479184219,
        495.5240611949555,
        494.5756160125055,
        493.2164037299837,
        491.4731023085764,
        489.36846001582165,
        486.92130374635275,
        484.14690349197656,
        481.05767283593156,
        477.664165882891,
        473.9763136002779,
        470.00482807150644,
        465.76269237290114,
        461.266647183224,
        456.5385830973767,
        451.6067500224987,
        446.50670188633626,
        441.2819059264001,
        435.9839606476977,
        430.6723845799331,
        425.41395851822864,
        420.28162611662117,
        415.3529804826958,
        410.70838662075766,
        406.42880993029496,
        402.5934382194737,
        399.2771976680592,
        396.54827090642254,
        394.46572722060716,
        393.0773706059932,
        392.4179011859675,
        392.5074700523359,
        393.35068793559105,
        394.9361256396232,
        397.2363204048638,
        400.2082788414589,
        403.79444521944504,
        407.9240848960922,
        412.51501736510215,
        417.4756223443675,
        422.70703565847737,
        428.10544930933804,
        433.56443172859565,
        438.9771892857258,
        444.2386981195967,
        449.24764567514774,
        453.9081333721971,
        458.1311050428695,
        461.83547960149764,
        464.94898032298534,
        467.40866657441643,
        469.16118634417114,
        470.1627789284505,
        470.3790661834747,
        469.78467741216355,
        468.362756905015,
        466.1044042095652,
        463.0080953375054,
        459.0791284881556,
        454.3291308031588,
        448.7756536595599,
        442.4418736705424,
        435.3564055871056,
        427.55322240051305,
        419.07166783184425,
        409.95653769051256,
        400.25819980977394,
        390.032717809375,
        379.341942024344,
        368.2535316394829,
        356.8408752812163,
        345.1828827826896,
        333.36362815210305,
        321.4718324169442,
        309.6001843795423,
        297.84450674843265,
        286.3027839516297,
        275.07407558922426,
        264.2573454406075,
        253.95023984448244,
        244.24785093008117,
        235.2414995954489,
        227.01757048963825,
        219.65642690902547,
        213.23142793911947,
        207.80806391225377,
        203.4432198782438,
        200.18457083275203,
        198.070107364766,
        197.12778649535227,
        197.37529996458463,
        198.81995110961853,
        201.4586316485112,
        205.27789090378383,
        210.25409193987963,
        216.3536513709608,
        223.5333618312649,
        231.74079792904658,
        240.9148076305734,
        250.98609123548263,
        261.8778693093468,
        273.50663914570964,
        285.783016657573,
        298.612657257601,
        311.8972455543231,
        325.53553988316526,
        339.4244541267002,
        353.4601562561884,
        367.5391607955535,
        381.5593911540043,
        395.4211876044641,
        409.02823763648837,
        422.288407449192,
        435.11445637839586,
        447.4246199333054,
        459.1430516797236,
        470.20011925690216,
        480.53255514863633,
        490.08346823599754,
        498.80222742538814,
        506.64423355847254,
        513.5706001593358,
        519.5477671552105,
        524.5470743308633,
        528.5443227767726,
        531.5193528361195,
        533.4556659617497,
        534.340115437384,
        534.1626871430291,
        532.9163865726454,
        530.5972423382556,
        527.2044296829829,
        522.7405103981067,
        517.211778358109,
        510.62869303507017,
        503.00637720825046,
        494.3651499988632,
        484.7310626380227,
        474.13640225498676,
        462.6201286076912,
        450.22821013020325,
        437.0138289057036,
        423.0374290537986,
        408.3665893197085,
        393.07570805967447,
        377.2454969550107,
        360.96228823450053,
        344.3171684965112,
        327.4049599596516,
        310.3230767257042,
        293.1702890621487,
        276.04543253291126,
        259.04610085237243,
        242.26736154169072,
        225.80053186948936,
        209.73204930492903,
        194.14246603249956,
        179.1055912777873,
        164.68779862189817,
        150.94750851163926,
        137.9348491736734,
        125.69149246027513,
        114.25065509709083,
        103.6372506179914,
        93.86817314356193,
        84.95269120362788,
        76.89292806825434,
        69.68440451888235,
        63.31662058678244,
        57.773654385723546,
        53.03475860577983,
        49.07493832377729,
        45.86549731334735,
        43.37454378875226,
        41.56745028077601,
        40.40726592408184,
        39.85508266104165,
        39.87035959499491,
        40.41121185011605,
        41.43467174829041,
        42.896930868471046,
        44.753571622721836,
        46.959796413505046,
        49.47066130814514,
        52.241319584008956,
        55.22727858612134,
        58.384671233624516,
        61.670541353127895,
        65.04313994262871,
        68.46222760608083,
        71.88937685567389,
        75.28826684363622,
        78.62496241795827,
        81.86816922702309,
        84.98945692531902,
        87.96344332481209,
        90.76793353466812,
        93.38400965361386,
        95.79606832531555,
        97.99180532940002,
        99.96214824904581,
        101.70114002691808,
        103.20577780341726,
        104.47581275224901,
        105.51351763711287,
        106.3234294823578,
        106.91207507476537,
        107.28768700928777,
        107.45991769137827,
        107.43955815858189,
        107.23826783790173,
        106.86832047061148,
        106.34237046908646,
        105.67324297340593,
        104.87374989471198,
        103.95653330557876,
        102.93393669371723,
        101.81790385458157,
        100.61990457301081,
        99.3508857386893,
        98.0212461540894,
        96.64083302065382,
        95.21895791971062,
        93.76443002679459,
        92.28560429755376,
        90.79044242473003,
        89.28658447292423,
        87.78142923426158,
        86.2822214973894,
        84.79614456807533,
        83.33041650655149,
        81.89238864036118,
        80.4896449589169,
        79.13010098715361,
        77.82210066319179,
        76.57450960561859,
        75.39680295117286,
        74.29914568022353,
        73.29246303788493,
        72.38849832189793,
        71.59985496924348,
        70.9400195619553,
        70.42336212366688,
        70.06510992967775,
        69.88129104359095,
        69.88864396045032,
        70.10449011332115,
        70.54656661410719,
        71.23281746686982,
        72.18114261694112,
        73.40910557031886,
        74.93360190644867,
        76.77049276635901,
        78.93420926159928,
        81.43733563501618,
        84.29018081529594,
        87.50034963736012,
        91.07232634014099,
        95.00708389594658,
        99.30173317664251,
        103.94922584613846,
        108.93812413732257,
        114.25244930888775,
        119.87161860367002,
        125.77047800299081,
        131.9194350845867,
        138.28469296921807,
        144.82858283130471,
        151.5099889147421,
        158.28485660384118,
        165.10677101366184,
        171.92759093103734,
        178.69812088264132,
        185.36880272587968,
        191.89040751681802,
        198.21470853685594,
        204.29511725279153,
        210.08726560622728,
        215.54952031039517,
        220.6434176797106,
        225.33401080930804,
        229.59012451753415,
        233.38451720686146,
        236.6939525203081,
        239.4991872000718,
        241.7848847244528,
        243.53946695306348,
        244.75491801312995,
        245.42655590619174,
        245.5527877351981,
        245.1348640210903,
        244.17664631500182,
        242.68440028438235,
        240.66662376985613,
        238.13391612515426,
        235.09889164713178,
        231.57613627940012,
        227.58220324437565,
        223.1356400342376,
        218.2570364659071,
        212.96908144657658,
        207.2966148346264,
        201.26666040034502,
        194.90842642381818,
        188.25326189025373,
        181.33455847680014,
        174.1875914387865,
        166.84929592108924,
        159.3579789322883,
        151.75297099408684,
        144.07422508061293,
        136.36187366644336,
        128.6557573113777,
        120.99494006734952,
        113.41722799398435,
        105.95870716807829,
        98.65331678239274,
        91.53247132158047,
        84.62474349832847,
        77.95561678979611,
        71.54731321840693,
        65.41869866828566,
        59.585264714520704,
        54.05918284740778,
        48.84942425518659,
        43.96193611148872,
        39.39986368653498,
        35.163806613716865,
        31.252097306212647,
        27.66108980512655,
        24.38544819142315
      ],
      "counting_noise_perturbation_10_90percent_km": [
        4.064293139895326,
        5.18598615916955
      ],
      "perturbation_trials": 256,
      "seed": 1012,
      "reduced_chi_squared": 54.42289224609775,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    }
  ],
  "two_km_rebin_searches": [
    {
      "radius_window_km": [
        125310,
        125390
      ],
      "points": 40,
      "minimum_searched_wavelength_km": 4.0,
      "dominant_spatial_wavelength_km": 16.48865459546184,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016861273283291633,
        0.017055879899916596,
        0.017250486516541562,
        0.017445093133166528,
        0.01763969974979149,
        0.017834306366416457,
        0.018028912983041424,
        0.01822351959966639,
        0.018418126216291353,
        0.01861273283291632,
        0.018807339449541285,
        0.01900194606616625,
        0.019196552682791215,
        0.01939115929941618,
        0.019585765916041144,
        0.01978037253266611,
        0.019974979149291076,
        0.020169585765916043,
        0.020364192382541006,
        0.020558798999165972,
        0.020753405615790935,
        0.0209480122324159,
        0.021142618849040867,
        0.021337225465665834,
        0.0215318320822908,
        0.021726438698915763,
        0.02192104531554073,
        0.022115651932165692,
        0.022310258548790658,
        0.022504865165415625,
        0.02269947178204059,
        0.022894078398665554,
        0.02308868501529052,
        0.023283291631915486,
        0.02347789824854045,
        0.023672504865165415,
        0.023867111481790382,
        0.024061718098415348,
        0.02425632471504031,
        0.024450931331665277,
        0.02464553794829024,
        0.024840144564915206,
        0.025034751181540173,
        0.02522935779816514,
        0.025423964414790105,
        0.025618571031415068,
        0.02581317764804003,
        0.026007784264664997,
        0.026202390881289964,
        0.02639699749791493,
        0.026591604114539896,
        0.02678621073116486,
        0.026980817347789825,
        0.027175423964414788,
        0.027370030581039755,
        0.02756463719766472,
        0.027759243814289687,
        0.027953850430914653,
        0.028148457047539616,
        0.02834306366416458,
        0.028537670280789545,
        0.028732276897414512,
        0.028926883514039478,
        0.029121490130664444,
        0.029316096747289407,
        0.029510703363914374,
        0.029705309980539336,
        0.029899916597164303,
        0.03009452321378927,
        0.030289129830414235,
        0.0304837364470392,
        0.030678343063664164,
        0.03087294968028913,
        0.031067556296914094,
        0.03126216291353906,
        0.031456769530164026,
        0.03165137614678899,
        0.03184598276341395,
        0.032040589380038925,
        0.032235195996663885,
        0.03242980261328885,
        0.03262440922991382,
        0.032819015846538784,
        0.03301362246316375,
        0.03320822907978871,
        0.03340283569641368,
        0.03359744231303864,
        0.03379204892966361,
        0.033986655546288574,
        0.03418126216291354,
        0.03437586877953851,
        0.034570475396163466,
        0.03476508201278844,
        0.0349596886294134,
        0.035154295246038365,
        0.03534890186266333,
        0.03554350847928829,
        0.035738115095913264,
        0.035932721712538224,
        0.0361273283291632,
        0.036321934945788156,
        0.03651654156241312,
        0.03671114817903809,
        0.03690575479566305,
        0.03710036141228802,
        0.03729496802891298,
        0.03748957464553795,
        0.037684181262162914,
        0.03787878787878788,
        0.038073394495412846,
        0.038268001112037806,
        0.03846260772866278,
        0.03865721434528774,
        0.038851820961912704,
        0.03904642757853767,
        0.03924103419516264,
        0.0394356408117876,
        0.03963024742841256,
        0.039824854045037536,
        0.040019460661662495,
        0.04021406727828746,
        0.04040867389491243,
        0.040603280511537394,
        0.04079788712816236,
        0.04099249374478732,
        0.04118710036141229,
        0.04138170697803725,
        0.04157631359466222,
        0.041770920211287185,
        0.041965526827912145,
        0.04216013344453712,
        0.04235474006116208,
        0.042549346677787044,
        0.04274395329441201,
        0.042938559911036976,
        0.04313316652766194,
        0.0433277731442869,
        0.043522379760911875,
        0.043716986377536834,
        0.0439115929941618,
        0.04410619961078677,
        0.04430080622741173,
        0.0444954128440367,
        0.04469001946066166,
        0.04488462607728663,
        0.04507923269391159,
        0.04527383931053656,
        0.045468445927161524,
        0.04566305254378649,
        0.04585765916041146,
        0.046052265777036416,
        0.04624687239366139,
        0.04644147901028635,
        0.046636085626911315,
        0.04683069224353628,
        0.04702529886016124,
        0.047219905476786214,
        0.047414512093411174,
        0.04760911871003615,
        0.047803725326661106,
        0.047998331943286066,
        0.04819293855991104,
        0.048387545176536,
        0.04858215179316097,
        0.04877675840978593,
        0.048971365026410904,
        0.04916597164303586,
        0.04936057825966082,
        0.049555184876285796,
        0.049749791492910755,
        0.04994439810953573,
        0.05013900472616069,
        0.05033361134278566,
        0.05052821795941062,
        0.05072282457603558,
        0.05091743119266055,
        0.05111203780928551,
        0.051306644425910486,
        0.051501251042535445,
        0.05169585765916042,
        0.05189046427578538,
        0.05208507089241034,
        0.05227967750903531,
        0.05247428412566027,
        0.05266889074228524,
        0.0528634973589102,
        0.053058103975535176,
        0.053252710592160135,
        0.053447317208785095,
        0.05364192382541007,
        0.05383653044203503,
        0.05403113705866,
        0.05422574367528496,
        0.05442035029190992,
        0.05461495690853489,
        0.05480956352515985,
        0.055004170141784825,
        0.055198776758409784,
        0.05539338337503476,
        0.05558798999165972,
        0.055782596608284676,
        0.05597720322490965,
        0.05617180984153461,
        0.05636641645815958,
        0.05656102307478454,
        0.056755629691409515,
        0.056950236308034474,
        0.057144842924659434,
        0.05733944954128441,
        0.057534056157909366,
        0.05772866277453434,
        0.0579232693911593,
        0.05811787600778427,
        0.05831248262440923,
        0.05850708924103419,
        0.058701695857659164,
        0.05889630247428412,
        0.0590909090909091,
        0.059285515707534056,
        0.059480122324159015,
        0.05967472894078399,
        0.05986933555740895,
        0.06006394217403392,
        0.06025854879065888,
        0.060453155407283854,
        0.06064776202390881,
        0.06084236864053377,
        0.061036975257158746,
        0.061231581873783705,
        0.06142618849040868,
        0.06162079510703364,
        0.06181540172365861,
        0.06201000834028357,
        0.06220461495690853,
        0.0623992215735335,
        0.06259382819015846,
        0.06278843480678344,
        0.0629830414234084,
        0.06317764804003337,
        0.06337225465665833,
        0.06356686127328329,
        0.06376146788990826,
        0.06395607450653322,
        0.06415068112315819,
        0.06434528773978315,
        0.06453989435640813,
        0.06473450097303309,
        0.06492910758965804,
        0.06512371420628302,
        0.06531832082290798,
        0.06551292743953295,
        0.06570753405615791,
        0.06590214067278287,
        0.06609674728940784,
        0.0662913539060328,
        0.06648596052265777,
        0.06668056713928273,
        0.06687517375590771,
        0.06706978037253267,
        0.06726438698915763,
        0.0674589936057826,
        0.06765360022240756,
        0.06784820683903253,
        0.06804281345565749,
        0.06823742007228246,
        0.06843202668890742,
        0.06862663330553238,
        0.06882123992215736,
        0.06901584653878232,
        0.06921045315540729,
        0.06940505977203225,
        0.06959966638865722,
        0.06979427300528218,
        0.06998887962190714,
        0.07018348623853211,
        0.07037809285515707,
        0.07057269947178205,
        0.070767306088407,
        0.07096191270503197,
        0.07115651932165694,
        0.0713511259382819,
        0.07154573255490687,
        0.07174033917153183,
        0.0719349457881568,
        0.07212955240478176,
        0.07232415902140672,
        0.0725187656380317,
        0.07271337225465666,
        0.07290797887128163,
        0.07310258548790659,
        0.07329719210453156,
        0.07349179872115652,
        0.07368640533778148,
        0.07388101195440645,
        0.07407561857103141,
        0.07427022518765639,
        0.07446483180428135,
        0.07465943842090632,
        0.07485404503753128,
        0.07504865165415624,
        0.07524325827078121,
        0.07543786488740617,
        0.07563247150403114,
        0.0758270781206561,
        0.07602168473728108,
        0.07621629135390603,
        0.076410897970531,
        0.07660550458715597,
        0.07680011120378093,
        0.0769947178204059,
        0.07718932443703086,
        0.07738393105365582,
        0.07757853767028079,
        0.07777314428690575,
        0.07796775090353072,
        0.07816235752015568,
        0.07835696413678066,
        0.07855157075340562,
        0.07874617737003058,
        0.07894078398665555,
        0.07913539060328051,
        0.07932999721990547,
        0.07952460383653044,
        0.0797192104531554,
        0.07991381706978037,
        0.08010842368640533,
        0.0803030303030303,
        0.08049763691965527,
        0.08069224353628023,
        0.0808868501529052,
        0.08108145676953016,
        0.08127606338615513,
        0.08147067000278009,
        0.08166527661940506,
        0.08185988323603002,
        0.08205448985265498,
        0.08224909646927996,
        0.08244370308590492,
        0.08263830970252989,
        0.08283291631915485,
        0.08302752293577982,
        0.08322212955240478,
        0.08341673616902974,
        0.08361134278565471,
        0.08380594940227967,
        0.08400055601890465,
        0.0841951626355296,
        0.08438976925215456,
        0.08458437586877954,
        0.0847789824854045,
        0.08497358910202947,
        0.08516819571865443,
        0.0853628023352794,
        0.08555740895190436,
        0.08575201556852932,
        0.0859466221851543,
        0.08614122880177925,
        0.08633583541840423,
        0.08653044203502919,
        0.08672504865165416,
        0.08691965526827912,
        0.08711426188490408,
        0.08730886850152905,
        0.08750347511815401,
        0.08769808173477898,
        0.08789268835140394,
        0.08808729496802892,
        0.08828190158465388,
        0.08847650820127884,
        0.08867111481790381,
        0.08886572143452877,
        0.08906032805115374,
        0.0892549346677787,
        0.08944954128440367,
        0.08964414790102863,
        0.0898387545176536,
        0.09003336113427857,
        0.09022796775090353,
        0.0904225743675285,
        0.09061718098415346,
        0.09081178760077842,
        0.09100639421740339,
        0.09120100083402835,
        0.09139560745065332,
        0.09159021406727828,
        0.09178482068390326,
        0.09197942730052822,
        0.09217403391715318,
        0.09236864053377815,
        0.09256324715040311,
        0.09275785376702808,
        0.09295246038365304,
        0.09314706700027801,
        0.09334167361690297,
        0.09353628023352793,
        0.0937308868501529,
        0.09392549346677787,
        0.09412010008340284,
        0.0943147067000278,
        0.09450931331665277,
        0.09470391993327773,
        0.09489852654990269,
        0.09509313316652766,
        0.09528773978315262,
        0.0954823463997776,
        0.09567695301640256,
        0.09587155963302751,
        0.09606616624965249,
        0.09626077286627745,
        0.09645537948290242,
        0.09664998609952738,
        0.09684459271615235,
        0.09703919933277731,
        0.09723380594940227,
        0.09742841256602724,
        0.0976230191826522,
        0.09781762579927718,
        0.09801223241590214,
        0.09820683903252711,
        0.09840144564915207,
        0.09859605226577703,
        0.098790658882402,
        0.09898526549902696,
        0.09917987211565193,
        0.0993744787322769,
        0.09956908534890187,
        0.09976369196552683,
        0.09995829858215179,
        0.10015290519877676,
        0.10034751181540172,
        0.10054211843202669,
        0.10073672504865165,
        0.10093133166527662,
        0.10112593828190158,
        0.10132054489852654,
        0.10151515151515152,
        0.10170975813177648,
        0.10190436474840145,
        0.10209897136502641,
        0.10229357798165137,
        0.10248818459827634,
        0.1026827912149013,
        0.10287739783152627,
        0.10307200444815123,
        0.1032666110647762,
        0.10346121768140117,
        0.10365582429802613,
        0.1038504309146511,
        0.10404503753127606,
        0.10423964414790103,
        0.10443425076452599,
        0.10462885738115096,
        0.10482346399777592,
        0.10501807061440088,
        0.10521267723102586,
        0.10540728384765082,
        0.10560189046427579,
        0.10579649708090075,
        0.10599110369752572,
        0.10618571031415068,
        0.10638031693077564,
        0.10657492354740061,
        0.10676953016402557,
        0.10696413678065055,
        0.1071587433972755,
        0.10735335001390048,
        0.10754795663052544,
        0.1077425632471504,
        0.10793716986377537,
        0.10813177648040033,
        0.1083263830970253,
        0.10852098971365026,
        0.10871559633027522,
        0.1089102029469002,
        0.10910480956352515,
        0.10929941618015013,
        0.10949402279677509,
        0.10968862941340006,
        0.10988323603002502,
        0.11007784264664998,
        0.11027244926327495,
        0.11046705587989991,
        0.11066166249652488,
        0.11085626911314984,
        0.11105087572977482,
        0.11124548234639978,
        0.11144008896302474,
        0.11163469557964971,
        0.11182930219627467,
        0.11202390881289964,
        0.1122185154295246,
        0.11241312204614957,
        0.11260772866277453,
        0.1128023352793995,
        0.11299694189602447,
        0.11319154851264943,
        0.1133861551292744,
        0.11358076174589936,
        0.11377536836252432,
        0.11396997497914929,
        0.11416458159577425,
        0.11435918821239922,
        0.11455379482902418,
        0.11474840144564916,
        0.11494300806227412,
        0.11513761467889908,
        0.11533222129552405,
        0.11552682791214901,
        0.11572143452877398,
        0.11591604114539894,
        0.11611064776202391,
        0.11630525437864887,
        0.11649986099527383,
        0.1166944676118988,
        0.11688907422852376,
        0.11708368084514874,
        0.1172782874617737,
        0.11747289407839867,
        0.11766750069502363,
        0.11786210731164859,
        0.11805671392827356,
        0.11825132054489852,
        0.1184459271615235,
        0.11864053377814845,
        0.11883514039477343,
        0.11902974701139839,
        0.11922435362802335,
        0.11941896024464832,
        0.11961356686127328,
        0.11980817347789825,
        0.12000278009452321,
        0.12019738671114817,
        0.12039199332777314,
        0.1205865999443981,
        0.12078120656102308,
        0.12097581317764804,
        0.12117041979427301,
        0.12136502641089797,
        0.12155963302752293,
        0.1217542396441479,
        0.12194884626077286,
        0.12214345287739783,
        0.1223380594940228,
        0.12253266611064777,
        0.12272727272727273,
        0.12292187934389769,
        0.12311648596052266,
        0.12331109257714762,
        0.12350569919377259,
        0.12370030581039755,
        0.12389491242702252,
        0.12408951904364748,
        0.12428412566027244,
        0.12447873227689742,
        0.12467333889352238,
        0.12486794551014735,
        0.1250625521267723,
        0.12525715874339727,
        0.12545176536002225,
        0.12564637197664721,
        0.12584097859327217,
        0.12603558520989713,
        0.12623019182652212,
        0.12642479844314708,
        0.12661940505977204,
        0.126814011676397,
        0.12700861829302196,
        0.12720322490964694,
        0.1273978315262719,
        0.12759243814289686,
        0.12778704475952182,
        0.12798165137614678,
        0.12817625799277177,
        0.12837086460939673,
        0.1285654712260217,
        0.12876007784264665,
        0.12895468445927163,
        0.1291492910758966,
        0.12934389769252155,
        0.1295385043091465,
        0.12973311092577147,
        0.12992771754239646,
        0.13012232415902142,
        0.13031693077564638,
        0.13051153739227134,
        0.1307061440088963,
        0.13090075062552128,
        0.13109535724214624,
        0.1312899638587712,
        0.13148457047539616,
        0.13167917709202112,
        0.1318737837086461,
        0.13206839032527107,
        0.13226299694189603,
        0.132457603558521,
        0.13265221017514597,
        0.13284681679177093,
        0.1330414234083959,
        0.13323603002502085,
        0.1334306366416458,
        0.1336252432582708,
        0.13381984987489576,
        0.13401445649152072,
        0.13420906310814568,
        0.13440366972477064,
        0.13459827634139562,
        0.13479288295802058,
        0.13498748957464554,
        0.1351820961912705,
        0.1353767028078955,
        0.13557130942452045,
        0.1357659160411454,
        0.13596052265777037,
        0.13615512927439533,
        0.1363497358910203,
        0.13654434250764527,
        0.13673894912427023,
        0.1369335557408952,
        0.13712816235752015,
        0.13732276897414514,
        0.1375173755907701,
        0.13771198220739506,
        0.13790658882402002,
        0.13810119544064497,
        0.13829580205726996,
        0.13849040867389492,
        0.13868501529051988,
        0.13887962190714484,
        0.13907422852376983,
        0.1392688351403948,
        0.13946344175701975,
        0.1396580483736447,
        0.13985265499026966,
        0.14004726160689465,
        0.1402418682235196,
        0.14043647484014457,
        0.14063108145676953,
        0.1408256880733945,
        0.14102029469001948,
        0.14121490130664444,
        0.1414095079232694,
        0.14160411453989435,
        0.14179872115651931,
        0.14199332777314427,
        0.14218793438976926,
        0.14238254100639422,
        0.14257714762301918,
        0.14277175423964414,
        0.14296636085626913,
        0.14316096747289409,
        0.14335557408951904,
        0.143550180706144,
        0.14374478732276896,
        0.14393939393939395,
        0.1441340005560189,
        0.14432860717264387,
        0.14452321378926883,
        0.1447178204058938,
        0.14491242702251877,
        0.14510703363914373,
        0.1453016402557687,
        0.14549624687239365,
        0.1456908534890186,
        0.1458854601056436,
        0.14608006672226856,
        0.14627467333889352,
        0.14646927995551848,
        0.14666388657214346,
        0.14685849318876842,
        0.14705309980539338,
        0.14724770642201834,
        0.1474423130386433,
        0.1476369196552683,
        0.14783152627189325,
        0.1480261328885182,
        0.14822073950514317,
        0.14841534612176813,
        0.14860995273839311,
        0.14880455935501807,
        0.14899916597164303,
        0.149193772588268,
        0.14938837920489298,
        0.14958298582151794,
        0.1497775924381429,
        0.14997219905476786,
        0.15016680567139282,
        0.1503614122880178,
        0.15055601890464276,
        0.15075062552126772,
        0.15094523213789268,
        0.15113983875451764,
        0.15133444537114263,
        0.1515290519877676,
        0.15172365860439255,
        0.1519182652210175,
        0.15211287183764247,
        0.15230747845426745,
        0.1525020850708924,
        0.15269669168751737,
        0.15289129830414233,
        0.15308590492076732,
        0.15328051153739228,
        0.15347511815401724,
        0.1536697247706422,
        0.15386433138726716,
        0.15405893800389214,
        0.1542535446205171,
        0.15444815123714206,
        0.15464275785376702,
        0.15483736447039198,
        0.15503197108701697,
        0.15522657770364193,
        0.1554211843202669,
        0.15561579093689185,
        0.15581039755351683,
        0.1560050041701418,
        0.15619961078676675,
        0.1563942174033917,
        0.15658882402001667,
        0.15678343063664166,
        0.15697803725326662,
        0.15717264386989158,
        0.15736725048651654,
        0.1575618571031415,
        0.15775646371976648,
        0.15795107033639144,
        0.1581456769530164,
        0.15834028356964136,
        0.15853489018626632,
        0.1587294968028913,
        0.15892410341951627,
        0.15911871003614123,
        0.15931331665276618,
        0.15950792326939117,
        0.15970252988601613,
        0.1598971365026411,
        0.16009174311926605,
        0.160286349735891,
        0.160480956352516,
        0.16067556296914096,
        0.16087016958576592,
        0.16106477620239087,
        0.16125938281901583,
        0.16145398943564082,
        0.16164859605226578,
        0.16184320266889074,
        0.1620378092855157,
        0.1622324159021407,
        0.16242702251876565,
        0.1626216291353906,
        0.16281623575201556,
        0.16301084236864052,
        0.1632054489852655,
        0.16340005560189047,
        0.16359466221851543,
        0.1637892688351404,
        0.16398387545176535,
        0.16417848206839034,
        0.1643730886850153,
        0.16456769530164025,
        0.1647623019182652,
        0.16495690853489017,
        0.16515151515151516,
        0.16534612176814012,
        0.16554072838476508,
        0.16573533500139004,
        0.16592994161801503,
        0.16612454823463998,
        0.16631915485126494,
        0.1665137614678899,
        0.16670836808451486,
        0.16690297470113985,
        0.1670975813177648,
        0.16729218793438977,
        0.16748679455101473,
        0.1676814011676397,
        0.16787600778426467,
        0.16807061440088963,
        0.1682652210175146,
        0.16845982763413955,
        0.16865443425076454,
        0.1688490408673895,
        0.16904364748401446,
        0.16923825410063942,
        0.16943286071726438,
        0.16962746733388936,
        0.16982207395051432,
        0.17001668056713928,
        0.17021128718376424,
        0.1704058938003892,
        0.1706005004170142,
        0.17079510703363915,
        0.1709897136502641,
        0.17118432026688907,
        0.17137892688351403,
        0.171573533500139,
        0.17176814011676397,
        0.17196274673338893,
        0.1721573533500139,
        0.17235195996663888,
        0.17254656658326384,
        0.1727411731998888,
        0.17293577981651376,
        0.17313038643313872,
        0.1733249930497637,
        0.17351959966638866,
        0.17371420628301362,
        0.17390881289963858,
        0.17410341951626354,
        0.17429802613288853,
        0.1744926327495135,
        0.17468723936613845,
        0.1748818459827634,
        0.17507645259938837,
        0.17527105921601335,
        0.1754656658326383,
        0.17566027244926327,
        0.17585487906588823,
        0.17604948568251322,
        0.17624409229913818,
        0.17643869891576314,
        0.1766333055323881,
        0.17682791214901306,
        0.17702251876563804,
        0.177217125382263,
        0.17741173199888796,
        0.17760633861551292,
        0.17780094523213788,
        0.17799555184876287,
        0.17819015846538783,
        0.1783847650820128,
        0.17857937169863775,
        0.17877397831526273,
        0.1789685849318877,
        0.17916319154851265,
        0.1793577981651376,
        0.17955240478176257,
        0.17974701139838756,
        0.17994161801501252,
        0.18013622463163748,
        0.18033083124826244,
        0.1805254378648874,
        0.18072004448151238,
        0.18091465109813734,
        0.1811092577147623,
        0.18130386433138726,
        0.18149847094801222,
        0.1816930775646372,
        0.18188768418126217,
        0.18208229079788713,
        0.18227689741451208,
        0.18247150403113707,
        0.18266611064776203,
        0.182860717264387,
        0.18305532388101195,
        0.1832499304976369,
        0.1834445371142619,
        0.18363914373088686,
        0.18383375034751182,
        0.18402835696413677,
        0.18422296358076173,
        0.18441757019738672,
        0.18461217681401168,
        0.18480678343063664,
        0.1850013900472616,
        0.1851959966638866,
        0.18539060328051155,
        0.1855852098971365,
        0.18577981651376146,
        0.18597442313038642,
        0.1861690297470114,
        0.18636363636363637,
        0.18655824298026133,
        0.1867528495968863,
        0.18694745621351125,
        0.18714206283013624,
        0.1873366694467612,
        0.18753127606338615,
        0.1877258826800111,
        0.18792048929663607,
        0.18811509591326106,
        0.18830970252988602,
        0.18850430914651098,
        0.18869891576313594,
        0.18889352237976093,
        0.18908812899638588,
        0.18928273561301084,
        0.1894773422296358,
        0.18967194884626076,
        0.18986655546288575,
        0.1900611620795107,
        0.19025576869613567,
        0.19045037531276063,
        0.1906449819293856,
        0.19083958854601057,
        0.19103419516263553,
        0.1912288017792605,
        0.19142340839588545,
        0.19161801501251044,
        0.1918126216291354,
        0.19200722824576036,
        0.19220183486238532,
        0.19239644147901028,
        0.19259104809563526,
        0.19278565471226022,
        0.19298026132888518,
        0.19317486794551014,
        0.1933694745621351,
        0.1935640811787601,
        0.19375868779538505,
        0.19395329441201,
        0.19414790102863497,
        0.19434250764525993,
        0.1945371142618849,
        0.19473172087850987,
        0.19492632749513483,
        0.1951209341117598,
        0.19531554072838478,
        0.19551014734500974,
        0.1957047539616347,
        0.19589936057825966,
        0.19609396719488462,
        0.1962885738115096,
        0.19648318042813456,
        0.19667778704475952,
        0.19687239366138448,
        0.19706700027800944,
        0.19726160689463443,
        0.1974562135112594,
        0.19765082012788435,
        0.1978454267445093,
        0.1980400333611343,
        0.19823463997775925,
        0.1984292465943842,
        0.19862385321100917,
        0.19881845982763413,
        0.19901306644425912,
        0.19920767306088408,
        0.19940227967750904,
        0.199596886294134,
        0.19979149291075896,
        0.19998609952738394,
        0.2001807061440089,
        0.20037531276063386,
        0.20056991937725882,
        0.20076452599388378,
        0.20095913261050877,
        0.20115373922713373,
        0.20134834584375869,
        0.20154295246038365,
        0.20173755907700863,
        0.2019321656936336,
        0.20212677231025855,
        0.2023213789268835,
        0.20251598554350847,
        0.20271059216013346,
        0.20290519877675842,
        0.20309980539338338,
        0.20329441201000834,
        0.2034890186266333,
        0.20368362524325828,
        0.20387823185988324,
        0.2040728384765082,
        0.20426744509313316,
        0.20446205170975812,
        0.2046566583263831,
        0.20485126494300807,
        0.20504587155963303,
        0.20524047817625798,
        0.20543508479288297,
        0.20562969140950793,
        0.2058242980261329,
        0.20601890464275785,
        0.2062135112593828,
        0.2064081178760078,
        0.20660272449263276,
        0.20679733110925771,
        0.20699193772588267,
        0.20718654434250763,
        0.20738115095913262,
        0.20757575757575758,
        0.20777036419238254,
        0.2079649708090075,
        0.20815957742563249,
        0.20835418404225745,
        0.2085487906588824,
        0.20874339727550736,
        0.20893800389213232,
        0.2091326105087573,
        0.20932721712538227,
        0.20952182374200723,
        0.2097164303586322,
        0.20991103697525715,
        0.21010564359188214,
        0.2103002502085071,
        0.21049485682513205,
        0.210689463441757,
        0.21088407005838197,
        0.21107867667500696,
        0.21127328329163192,
        0.21146788990825688,
        0.21166249652488184,
        0.21185710314150683,
        0.21205170975813178,
        0.21224631637475674,
        0.2124409229913817,
        0.21263552960800666,
        0.21283013622463165,
        0.2130247428412566,
        0.21321934945788157,
        0.21341395607450653,
        0.2136085626911315,
        0.21380316930775647,
        0.21399777592438143,
        0.2141923825410064,
        0.21438698915763135,
        0.21458159577425634,
        0.2147762023908813,
        0.21497080900750626,
        0.21516541562413122,
        0.21536002224075618,
        0.21555462885738116,
        0.21574923547400612,
        0.21594384209063108,
        0.21613844870725604,
        0.216333055323881,
        0.216527661940506,
        0.21672226855713095,
        0.2169168751737559,
        0.21711148179038087,
        0.21730608840700583,
        0.2175006950236308,
        0.21769530164025577,
        0.21788990825688073,
        0.2180845148735057,
        0.21827912149013068,
        0.21847372810675564,
        0.2186683347233806,
        0.21886294134000556,
        0.21905754795663052,
        0.2192521545732555,
        0.21944676118988046,
        0.21964136780650542,
        0.21983597442313038,
        0.22003058103975534,
        0.22022518765638033,
        0.2204197942730053,
        0.22061440088963025,
        0.2208090075062552,
        0.2210036141228802,
        0.22119822073950515,
        0.2213928273561301,
        0.22158743397275507,
        0.22178204058938003,
        0.22197664720600502,
        0.22217125382262998,
        0.22236586043925494,
        0.2225604670558799,
        0.22275507367250486,
        0.22294968028912984,
        0.2231442869057548,
        0.22333889352237976,
        0.22353350013900472,
        0.22372810675562968,
        0.22392271337225467,
        0.22411731998887963,
        0.22431192660550459,
        0.22450653322212955,
        0.22470113983875453,
        0.2248957464553795,
        0.22509035307200445,
        0.2252849596886294,
        0.22547956630525437,
        0.22567417292187936,
        0.22586877953850432,
        0.22606338615512928,
        0.22625799277175423,
        0.2264525993883792,
        0.22664720600500418,
        0.22684181262162914,
        0.2270364192382541,
        0.22723102585487906,
        0.22742563247150405,
        0.227620239088129,
        0.22781484570475397,
        0.22800945232137892,
        0.22820405893800388,
        0.22839866555462887,
        0.22859327217125383,
        0.2287878787878788,
        0.22898248540450375,
        0.2291770920211287,
        0.2293716986377537,
        0.22956630525437866,
        0.22976091187100361,
        0.22995551848762857,
        0.23015012510425353,
        0.23034473172087852,
        0.23053933833750348,
        0.23073394495412844,
        0.2309285515707534,
        0.23112315818737839,
        0.23131776480400335,
        0.2315123714206283,
        0.23170697803725326,
        0.23190158465387822,
        0.2320961912705032,
        0.23229079788712817,
        0.23248540450375313,
        0.2326800111203781,
        0.23287461773700305,
        0.23306922435362804,
        0.233263830970253,
        0.23345843758687795,
        0.2336530442035029,
        0.23384765082012787,
        0.23404225743675286,
        0.23423686405337782,
        0.23443147067000278,
        0.23462607728662774,
        0.23482068390325272,
        0.23501529051987768,
        0.23520989713650264,
        0.2354045037531276,
        0.23559911036975256,
        0.23579371698637755,
        0.2359883236030025,
        0.23618293021962747,
        0.23637753683625243,
        0.2365721434528774,
        0.23676675006950237,
        0.23696135668612733,
        0.2371559633027523,
        0.23735056991937725,
        0.23754517653600224,
        0.2377397831526272,
        0.23793438976925216,
        0.23812899638587712,
        0.23832360300250208,
        0.23851820961912706,
        0.23871281623575202,
        0.23890742285237698,
        0.23910202946900194,
        0.2392966360856269,
        0.2394912427022519,
        0.23968584931887685,
        0.2398804559355018,
        0.24007506255212677,
        0.24026966916875173,
        0.2404642757853767,
        0.24065888240200167,
        0.24085348901862663,
        0.2410480956352516,
        0.24124270225187658,
        0.24143730886850154,
        0.2416319154851265,
        0.24182652210175146,
        0.24202112871837642,
        0.2422157353350014,
        0.24241034195162636,
        0.24260494856825132,
        0.24279955518487628,
        0.24299416180150124,
        0.24318876841812623,
        0.2433833750347512,
        0.24357798165137615,
        0.2437725882680011,
        0.2439671948846261,
        0.24416180150125105,
        0.244356408117876,
        0.24455101473450097,
        0.24474562135112593,
        0.24494022796775092,
        0.24513483458437588,
        0.24532944120100084,
        0.2455240478176258,
        0.24571865443425076,
        0.24591326105087574,
        0.2461078676675007,
        0.24630247428412566,
        0.24649708090075062,
        0.24669168751737558,
        0.24688629413400057,
        0.24708090075062553,
        0.24727550736725049,
        0.24747011398387544,
        0.24766472060050043,
        0.2478593272171254,
        0.24805393383375035,
        0.2482485404503753,
        0.24844314706700027,
        0.24863775368362526,
        0.24883236030025022,
        0.24902696691687518,
        0.24922157353350013,
        0.2494161801501251,
        0.24961078676675008,
        0.24980539338337504,
        0.25
      ],
      "fit_improvement": [
        335.55090033876115,
        338.86666574657806,
        342.3317787156919,
        345.9498137937737,
        349.72405362219655,
        353.6574230416152,
        357.7524153333229,
        362.01101009666746,
        366.4345823272635,
        371.02380235820993,
        375.778526464755,
        380.6976781197039,
        385.7791201320878,
        391.019518214014,
        396.41419691033906,
        401.9569893013967,
        407.640082457943,
        413.4538612945931,
        419.38675423365146,
        425.4250849499191,
        431.5529354050413,
        437.7520263728401,
        444.0016226674641,
        450.2784712611109,
        456.5567813476638,
        462.8082560844704,
        469.00218612168317,
        475.1056149873332,
        481.083585809195,
        486.89947759495635,
        492.51543724843543,
        497.89291059088504,
        502.9932718525985,
        507.7785464419454,
        512.2122164165047,
        516.2600922066791,
        519.8912281148913,
        523.0788533693014,
        525.8012855588015,
        528.0427896555917,
        529.7943440582386,
        531.0542755876519,
        531.8287284111836,
        532.1319375162127,
        531.9862854177718,
        531.4221308283076,
        530.4774093826891,
        529.1970183796468,
        527.6320089817459,
        525.838619548068,
        523.8771920206468,
        521.8110190150163,
        519.7051721956495,
        517.6253626284894,
        515.6368813105854,
        513.8036633769757,
        512.1875130811593,
        510.8475190741002,
        509.8396812688512,
        509.21676209114503,
        509.0283664906307,
        509.3212469237882,
        510.13982173308574,
        511.5268880007846,
        513.5245031055404,
        516.1750029415161,
        519.5221192198733,
        523.6121536785627,
        528.4951636574333,
        534.2261116604428,
        540.8659315141429,
        548.4824657518049,
        557.1512329780139,
        566.9559900881177,
        577.9890620132127,
        590.351420619513,
        604.1525038404393,
        619.5097753039556,
        636.5480328842855,
        655.3984810978393,
        676.1975865991587,
        699.0857379669712,
        724.2057305175996,
        751.7010943065216,
        781.7142792553065,
        814.3847061007693,
        849.8466863218877,
        888.2272090948484,
        929.643589357455,
        974.2009688539388,
        1021.9896620984637,
        1073.0823419390933,
        1127.5310650977815,
        1185.3641468487056,
        1246.5829058815636,
        1311.1583152276808,
        1379.0276125776095,
        1450.0909428507364,
        1524.2081267077433,
        1601.195669765381,
        1680.8241472237323,
        1762.8161158003209,
        1846.844717386436,
        1932.5331446382172,
        2019.4551357149767,
        2107.1366516885587,
        2195.058864314417,
        2282.662543135201,
        2369.3538795213112,
        2454.511722694876,
        2537.496131822518,
        2617.658073007921,
        2694.3500156939626,
        2766.937115547182,
        2834.808616457948,
        2897.3890684389594,
        2954.148945312986,
        3004.614258669446,
        3048.374802882524,
        3085.0907278310547,
        3114.497216880365,
        3136.4071414132786,
        3150.711662373309,
        3157.3788462934176,
        3156.4504510993943,
        3148.0371098706155,
        3132.312194782519,
        3109.504676741236,
        3079.891308828131,
        3043.788455387261,
        3001.5438664739013,
        2953.5286632719844,
        2900.1297580878017,
        2841.742886580201,
        2778.766383449774,
        2711.595788645977,
        2640.6193312509026,
        2566.2143037875317,
        2488.7443113272207,
        2408.5573574367704,
        2325.984712307063,
        2241.340496684987,
        2154.9219076951686,
        2067.010008468436,
        1977.8710019101825,
        1887.7579092544875,
        1796.9125756793933,
        1705.5679277401753,
        1613.9504103525692,
        1522.2825342574793,
        1430.7854681278636,
        1339.681612597685,
        1249.1970964075895,
        1159.5641375153232,
        1071.0232143898697,
        983.8249948157695,
        898.2319714405098,
        814.5197551197458,
        732.9779790242931,
        653.910768701837,
        577.6367361249029,
        504.4884595400097,
        434.8114160284953,
        368.9623404670265,
        307.3069933786923,
        250.2173312688194,
        198.0680866060316,
        151.23278064617278,
        110.07921061096103,
        74.9644728998237,
        46.22960535178644,
        24.193953151860725,
        9.149383629579516,
        1.3544935867548469,
        1.0289674839052951,
        8.34825439092994,
        23.438734791821965,
        46.37354412803928,
        77.1692077817782,
        115.78322196389013,
        162.1126871877033,
        215.9940667796621,
        277.20410384923616,
        345.4618884024067,
        420.4320242054865,
        501.728805043977,
        588.9212745031348,
        681.5390143266986,
        779.0784852949989,
        881.0097323057621,
        986.783262179993,
        1095.8369082519312,
        1207.6025090702042,
        1321.5122481313333,
        1437.004525799428,
        1553.5292616264937,
        1670.552553407375,
        1787.5606468791636,
        1904.0631956752366,
        2019.5958139656645,
        2133.721943506833,
        2246.03407227333,
        2356.154353445086,
        2463.7346815114756,
        2568.456287049064,
        2670.028913861796,
        2768.1896422216837,
        2862.7014204854718,
        2953.3513649120446,
        3039.948884506442,
        3122.3236845144434,
        3200.3236990248943,
        3273.8130001478066,
        3342.6697284785673,
        3406.7840870174255,
        3466.0564383246383,
        3520.3955423586585,
        3569.7169700592817,
        3613.9417251888026,
        3652.9951041313607,
        3686.8058201855047,
        3715.3054152939544,
        3738.427978076947,
        3756.110182421316,
        3768.2916556838773,
        3774.9156797596784,
        3775.9302218170355,
        3771.289284399534,
        3760.9545568504286,
        3744.8973416707677,
        3723.1007205689084,
        3695.5619157472374,
        3662.2947926239913,
        3623.332441009961,
        3578.7297631391375,
        3528.5659893590196,
        3472.9470362519896,
        3412.007618056781,
        3345.9130210623216,
        3274.860452683689,
        3199.079882633131,
        3118.8343032422495,
        3034.4193496409675,
        2946.162237967561,
        2854.4200006040205,
        2759.5770208499052,
        2662.04189444946,
        2562.2436707462284,
        2460.6275505961416,
        2357.650140133411,
        2253.7743777381315,
        2149.4642649765337,
        2045.179540040173,
        1941.3704338276998,
        1838.4726442320223,
        1736.9026537643379,
        1637.053500092826,
        1539.2910894322542,
        1443.9511202411122,
        1351.3366607202681,
        1261.7163995124067,
        1175.323566019466,
        1092.3554959440523,
        1012.9737998342268,
        937.3050781112318,
        865.4421155512676,
        797.4454814886059,
        733.3454589005505,
        673.1442256528632,
        616.8182140364642,
        564.3205797609205,
        515.5837182172828,
        470.52177353416886,
        429.0330942291143,
        391.00259767259996,
        356.30401378572867,
        324.80198611511736,
        296.3540154797656,
        270.81223764356474,
        248.02503187214757,
        227.83846177165617,
        210.09755350317218,
        194.64741937070758,
        181.33423696030965,
        170.0060955394754,
        160.51372239024758,
        152.7111022244034,
        146.4560028898382,
        141.61042029139838,
        138.04095487795422,
        135.61913124356144,
        134.2216714006004,
        133.73073114642477,
        134.03410769739114,
        135.0254254356449,
        136.6043052330116,
        138.6765214092263,
        141.15414897490044,
        143.9557024297699,
        147.00626606191955,
        150.23761445319042,
        153.5883207705892,
        157.0038494447864,
        160.4366290357937,
        163.84610049244424,
        167.1987356523695,
        170.46802072352554,
        173.63439965022695,
        176.68517269980572,
        179.61434630302142,
        182.42243112277535,
        185.11618647919158,
        187.70831058073722,
        190.21707744597433,
        192.66592288571576,
        195.08298338315362,
        197.5005930907746,
        199.95474539173682,
        202.48452649106878,
        205.13152926084126,
        207.93925602942716,
        210.95251916057165,
        214.21684811233862,
        217.777911214904,
        221.6809596908752,
        225.97030050531103,
        230.68880352829666,
        235.87744727852655,
        241.57490625215877,
        247.81718158507678,
        254.63727560139785,
        262.0649097118127,
        270.1262841778777,
        278.84387747826617,
        288.23628241545964,
        298.31807569181467,
        309.0997174594007,
        320.5874772978528,
        332.78338318308283,
        345.6851902573211,
        359.28636657530546,
        373.57609345998924,
        388.53927863046056,
        404.15658084321814,
        420.40444539428074,
        437.25515044459695,
        454.67686473662155,
        472.6337178483177,
        491.08588466629584,
        509.9896862357869,
        529.2977095459247,
        548.9589491187674,
        568.9189734732242,
        589.1201196158578,
        609.5017186543942,
        630.0003554244691,
        650.5501646554177,
        671.0831656710175,
        691.5296369252866,
        711.818530816972,
        731.8779282229306,
        751.6355310608537,
        771.01918996647,
        789.957462887026,
        808.3801990984907,
        826.2191419001638,
        843.408542083654,
        859.8857732708889,
        875.5919394232043,
        890.4724642898416,
        904.4776523299942,
        917.5632107348243,
        929.6907226074403,
        940.828062124334,
        950.9497435790432,
        960.0371975578141,
        968.0789690634025,
        975.0708341198189,
        981.0158331835937,
        985.9242214785716,
        989.8133380859919,
        992.7073971922339,
        994.6372062659415,
        995.6398170634968,
        995.7581162222547,
        995.0403627882433,
        993.5396803500503,
        991.313511539501,
        988.423042550382,
        984.9326050658433,
        980.9090626226598,
        976.4211880263539,
        971.5390380091073,
        966.3333309286095,
        960.8748329650415,
        955.2337579972425,
        949.479186126687,
        943.6785056563505,
        937.8968831978545,
        932.1967664448639,
        926.6374239808312,
        921.2745262528894,
        916.1597715134005,
        911.3405600875375,
        906.8597197594673,
        902.7552843845283,
        899.0603270441507,
        895.802848189364,
        893.0057183009645,
        890.6866736687391,
        888.8583629991531,
        887.5284417398851,
        886.6997102946475,
        886.3702917190355,
        886.5338440550297,
        887.1798021840257,
        888.2936439526284,
        889.8571753380944,
        891.8488295509928,
        894.2439751950155,
        897.0152288897663,
        900.1327680831284,
        903.5646401095787,
        907.2770638689586,
        911.2347207913302,
        915.4010320113775,
        919.7384189003253,
        924.2085443035942,
        928.7725320233432,
        933.3911622875974,
        938.0250411856559,
        942.6347423486832,
        947.1809195382116,
        951.6243892941185,
        955.9261834012079,
        960.0475716647966,
        963.9500563368578,
        967.5953404893303,
        970.9452736651293,
        973.9617792134079,
        976.6067687902292,
        978.8420505274812,
        980.6292382881406,
        981.9296701787298,
        982.7043450275945,
        982.9138858118332,
        982.5185389848837,
        981.4782182892991,
        979.7526009136582,
        977.3012827592153,
        974.0839981246585,
        970.0609073128923,
        965.192953543589,
        959.4422881652031,
        952.7727605619023,
        945.1504664210643,
        936.5443452576235,
        926.9268153886692,
        916.2744320326708,
        904.5685519977048,
        891.7959866500655,
        877.9496236412401,
        863.0289973281816,
        847.0407880366791,
        829.9992313479092,
        811.9264204509435,
        792.852487271238,
        772.815651478607,
        751.8621304723262,
        730.0459078642716,
        707.4283626279941,
        684.077765723348,
        660.0686554074377,
        635.481106376724,
        610.3999111532393,
        584.913694571148,
        559.1139837324088,
        533.0942563353984,
        506.94898985123893,
        480.7727327004872,
        454.65921648762725,
        428.7005256398007,
        402.98633765117904,
        377.6032437462651,
        352.63415633107354,
        328.15780627219596,
        304.2483299757894,
        280.974943546446,
        258.4016990701144,
        236.58731633059793,
        215.58508204893616,
        195.4428080123444,
        176.20283919431705,
        157.90210310167947,
        140.57219204649024,
        124.2394707536479,
        108.92520259875005,
        94.6456887493515,
        81.41241548603283,
        69.23220594777518,
        58.107373431493755,
        48.0358741436977,
        39.01145793392101,
        31.023816029337713,
        24.058725146078686,
        18.098187595158358,
        13.120567158602652,
        9.100720619834576,
        6.010124929375684,
        3.8170001097113944,
        2.4864281841912232,
        1.9804686790014574,
        2.2582716092711466,
        3.2761893228342265,
        4.9878891278777635,
        7.344469250632391,
        10.294581321605197,
        13.784563228949107,
        17.758586753490757,
        22.15882485552225,
        26.925643762255717,
        31.997825053519698,
        37.312822715979244,
        42.807059598264836,
        48.4162668310828,
        54.07586857599491,
        59.7214129528339,
        65.28904820940858,
        70.71604120081768,
        75.94133312258298,
        80.90612529239561,
        85.55448571225527,
        89.83396528471663,
        93.69621102010805,
        97.09756246125431,
        99.9996169545596,
        102.36974936987126,
        104.18157244204824,
        105.41532506331045,
        106.05817754887003,
        106.10444504613687,
        105.55570274849435,
        104.42079927672796,
        102.71576736341751,
        100.4636336780195,
        97.69413213493021,
        94.44332722687575,
        90.75315574269653,
        86.67089661547783,
        82.24857959053529,
        77.54234392022238,
        72.61175842761925,
        67.51911409707157,
        62.32869992160037,
        57.10607214434836,
        51.917326349023405,
        46.828381147545066,
        41.90428153173546,
        37.20852933071855,
        32.80244765833361,
        28.744585737253598,
        25.090170024622253,
        21.890607100886477,
        19.193043275154693,
        17.039985261262956,
        15.468985547931792,
        14.512395193430516,
        14.19718570455343,
        14.544840414740218,
        15.571314380349218,
        17.2870603110153,
        19.697116501207297,
        22.80125121070216,
        26.59415653509025,
        31.06568359846485,
        36.2011099687392,
        41.981429609005126,
        48.38365548602515,
        55.38112518730609,
        62.94380055510058,
        71.03855340808013,
        79.62943084505454,
        88.6778953448073,
        98.14303681070797,
        107.98175576506155,
        118.14891897664931,
        128.59749080504272,
        139.27864536910508,
        150.14186620548395,
        161.13504129707874,
        172.204562158204,
        183.2954360160506,
        194.35142000053963,
        205.31518564180203,
        216.1285208934538,
        226.73257539139024,
        237.0681527850149,
        247.07605182444792,
        256.6974555553251,
        265.8743655769341,
        274.55007598209164,
        282.6696794406297,
        290.18059602712077,
        297.03311392732627,
        303.1809301624845,
        308.5816789947899,
        313.197435736377,
        316.9951842605333,
        319.9472375580309,
        322.03160211666335,
        323.2322786300978,
        323.5394934528658,
        322.94985719703305,
        321.4664488042791,
        319.09882522895737,
        315.86295845737914,
        311.7811029138726,
        306.88159733902387,
        301.1986059684428,
        294.77180431331396,
        287.64601508604045,
        279.8707998785715,
        271.50001214615025,
        262.5913169351416,
        253.20568267463915,
        243.40685027185083,
        233.26078474137873,
        222.83511467220714,
        212.19856499102036,
        201.42038869637454,
        190.56980348202111,
        179.71543939429,
        168.9248038271046,
        158.26377019625698,
        147.79609650378845,
        137.58297966469382,
        127.6826508964185,
        118.15001665906712,
        109.03634859222689,
        100.38902465435517,
        92.25132228206206,
        84.66226291431731,
        77.6565057462831,
        71.26428717002375,
        65.511401105336,
        60.41921439765776,
        56.00471072387201,
        52.28055604718993,
        49.25517862694367,
        46.93285692413869,
        45.31380943498378,
        44.394281497516346,
        44.16662539872691,
        44.61937159382863,
        45.737290457418524,
        47.501445632423575,
        49.88924163887212,
        52.87446986368435,
        56.42735829375786,
        60.51463130641678,
        65.09958643594945,
        70.14219525166841,
        75.59923529017478,
        81.42445938213746,
        87.568807723737,
        93.98066670817545,
        100.60617691625136,
        107.38959084615546,
        114.27367903234158,
        121.20018125894406,
        128.11029771223437,
        134.9452132301094,
        141.64664637403857,
        148.15741393209308,
        154.42200070242237,
        160.3871240237172,
        166.0022825097439,
        171.22027878494657,
        175.99770666661996,
        180.29539414290386,
        184.078794594068,
        187.31831993506188,
        189.98961066056748,
        192.07373909796195,
        193.5573434767528,
        194.43269167514836,
        194.6976746873008,
        194.35573096136596,
        193.41570378981234,
        191.89163489696614,
        189.80249827386749,
        187.17187916569162,
        184.02760392695689,
        180.40132722279097,
        176.32808376088013,
        171.8458123707942,
        166.99486077972864,
        161.81747983509598,
        156.35731616082072,
        150.65891227149024,
        144.76722297686405,
        138.72715646643798,
        132.58314775839173,
        126.37877123182858,
        120.15639775299502,
        113.95690048786885,
        107.81941191218544,
        101.78113284494961,
        95.87719261054218,
        90.14055775118132,
        84.60198513880997,
        79.29001394383336,
        74.23098976931752,
        69.44911340433315,
        64.96650612637272,
        60.80328331199911,
        56.97762830297495,
        53.505859011978,
        50.40248061263763,
        47.68021880446131,
        45.350029524207486,
        43.421082532167276,
        41.9007179684001,
        40.79437668008847,
        40.10550679487787,
        39.83545058598811,
        39.98331707640922,
        40.54584700191579,
        41.51727764544036,
        42.88921562973359,
        44.65052598581772,
        46.787245690924216,
        49.28252939653372,
        52.116634264840854,
        55.266949735034814,
        58.708076696137255,
        62.411959007206256,
        66.34806864178553,
        70.4836440078281,
        74.7839792728324,
        79.2127608687087,
        83.732445818107,
        88.30467516060868,
        92.89071460150049,
        97.45191358521056,
        101.95017332815657,
        106.34841394087452,
        110.61103062898029,
        114.70432908246215,
        118.59693053500284,
        122.26013758723654,
        125.66825272611558,
        128.79884251974448,
        131.63294170398476,
        134.1551927810809,
        136.3539182947562,
        138.2211245990759,
        139.75243766261124,
        140.94697320210284,
        141.80714517238425,
        142.3384182993673,
        142.54901187471006,
        142.4495633792457,
        142.05276161431436,
        141.37295984882513,
        140.42577999659983,
        139.2277189965764,
        137.79576836377936,
        136.14705731301922,
        134.2985289455982,
        132.2666577625547,
        130.06721526881438,
        127.71508871502795,
        125.22415614913709,
        122.60721898454446,
        119.8759913048586,
        117.04114318455977,
        114.11239347616053,
        111.0986458577061,
        108.00816050455825,
        104.84875259278374,
        101.62800799712001,
        98.3535060435412,
        95.0330390344763,
        91.67481849234194,
        88.28765866092934,
        84.88112874889615,
        81.46566666631911,
        78.05264855198203,
        74.65441016137191,
        71.28421811684123,
        67.95619103709136,
        64.68517258161829,
        61.486560383192,
        58.3760966170739,
        55.369627494367606,
        52.48284020610254,
        49.730986735618714,
        47.12860446952827,
        44.68924366007507,
        42.425211532073945,
        40.34734221057076,
        38.46480071074198,
        36.78492803040609,
        35.313132975342,
        34.05283478930216,
        33.00545901334225,
        32.17048731858693,
        31.545560391908836,
        31.126631347551108,
        30.90816562464336,
        30.883381940037637,
        31.0445276225429,
        31.383180580302238,
        31.8905692685176,
        32.55790135057826,
        33.37669130316382,
        34.33907702599686,
        35.438115599267455,
        36.66804870200036,
        38.02452887215571,
        39.50479875343057,
        41.10781672216889,
        42.83432379310831,
        44.686848423179796,
        46.669647711108944,
        48.788585458717904,
        51.05094953981078,
        53.46521293371747,
        56.040744544210085,
        58.7874774698189,
        61.715543661225766,
        64.83488485485023,
        68.15485028832954,
        71.68379198194269,
        75.42866832739423,
        79.39466639309785,
        83.58485277495117,
        87.99986203963742,
        92.63763086874756,
        97.49318495627699,
        102.55848456930198,
        107.82233347117544,
        113.27035463601001,
        118.88503485076963,
        124.64583889921458,
        130.529392540582,
        136.50973193029432,
        142.55861548418196,
        148.64589248067716,
        154.73992096403467,
        160.80802581232436,
        166.81698624220542,
        172.7335406283197,
        178.5248954175565,
        184.15922421609156,
        189.60614290872263,
        194.83714700339405,
        199.8259983168826,
        204.5490496306816,
        208.98549800821525,
        213.11755999364203,
        216.93056479045637,
        220.4129645983449,
        223.55626440742682,
        226.35487654488506,
        228.80590798594568,
        230.90889074753946,
        232.6654674789618,
        234.07904558645726,
        235.15443385358452,
        235.89747555741766,
        236.3146915741689,
        236.41294598045906,
        236.19914526709843,
        235.67998057565586,
        234.86172042838038,
        233.75005932888683,
        232.3500254346439,
        230.66594830652502,
        228.70148558022345,
        226.45970533118128,
        223.943218967218,
        221.15435773213915,
        218.09538439036174,
        214.7687304417252,
        211.177248339757,
        207.32446770574012,
        203.21484448394068,
        198.85399239413078,
        194.24888690824505,
        189.40803328347522,
        184.34159187148808,
        179.0614559103864,
        173.5812791863085,
        167.916453201348,
        162.08403567209172,
        156.10263417997587,
        149.99225048691466,
        143.77409232746035,
        137.47036033370722,
        131.10401811885006,
        124.69855345264486,
        118.27773795306116,
        111.86539186499884,
        105.48515939014737,
        99.16029877138386,
        92.91349002224287,
        86.7666619198189,
        80.7408387298391,
        74.85600616843465,
        69.13099537046288,
        63.58338315248186,
        58.22940663316344,
        53.08389029036744,
        48.16018376193262,
        43.47010909280994,
        39.0239166414849,
        34.830249424522194,
        30.896116238217502,
        27.226874391911526,
        23.826223265857283,
        20.696210125968207,
        17.83724966072662,
        15.248158541826623,
        12.926205957695775,
        10.867180554231348,
        9.065473581964625,
        7.5141773476169975,
        6.205197361540705,
        5.1293759221471555,
        4.276624340123918,
        3.6360606237582576,
        3.1961492518020624,
        2.9448396645774078,
        2.8697003023574865,
        2.9580453917179894,
        3.197052192033293,
        3.5738670235893806,
        4.075699059632806,
        4.689901530982535,
        5.404040620863823,
        6.2059528829717845,
        7.083792468693249,
        8.026069779753133,
        9.02168335873742,
        10.059946888498505,
        11.130613096463629,
        12.223896162091327,
        13.330493922026134,
        14.441610779984764,
        15.548981783840667,
        16.644897860974933,
        17.72223173748677,
        18.774463640534904,
        19.79570552795814,
        20.780722333426887,
        21.72494858073938,
        22.624498720677376,
        23.476169681271546,
        24.277434389193512,
        25.026425397430124,
        25.72190821409329,
        26.36324443409777,
        26.9503452910908,
        27.483616733479003,
        27.963897551631376,
        28.39239241662116,
        28.770601916410236,
        29.10025178535977,
        29.383223519267354,
        29.621488460443352,
        29.817047241783115,
        29.971876214368265,
        30.08788217045327,
        30.166866331832104,
        30.210498219367366,
        30.220299666101496,
        30.19763889386671,
        30.14373424837622,
        30.05966688532399,
        29.946401423745357,
        29.804813336812995,
        29.6357216392588,
        29.439925261181934,
        29.218241378093005,
        28.971543905392373,
        28.700800370723073,
        28.407105456698357,
        28.091709662947874,
        27.756041768991583,
        27.40172408104876,
        27.030579802925665,
        26.644632264430122,
        26.246096146199378,
        25.837361231410124,
        25.420969566294403,
        24.999587199711765,
        24.575971879579072,
        24.152938200342348,
        23.73332171842656,
        23.31994348770308,
        22.915576326701505,
        22.522913931490336,
        22.144543713184706,
        21.78292398812076,
        21.440365901177344,
        21.119020235182976,
        20.820869063763748,
        20.547722049136475,
        20.301217073268873,
        20.082824819609943,
        19.893856889078652,
        19.735477031927793,
        19.60871509853409,
        19.514483349038894,
        19.453594805996456,
        19.42678337877597,
        19.43472552760231,
        19.47806326468269,
        19.557428307508687,
        19.673467204502074,
        19.826867246778743,
        20.01838296420476,
        20.248862982574614,
        20.519276995362603,
        20.830742582022395,
        21.184551588454227,
        21.582195776648938,
        22.025391450812556,
        22.516102776740716,
        23.056563528686365,
        23.649297021764212,
        24.297134015582824,
        25.003228404266792,
        25.771070537358305,
        26.604498044676554,
        27.50770406608971,
        28.48524281597248,
        29.542032444108223,
        30.683355192996494,
        31.914854898753045,
        33.24253194118306,
        34.6727358184777,
        36.21215560137277,
        37.8678086052323,
        39.64702769772047,
        41.557447722107774,
        43.6069915467615,
        45.803856232647945,
        48.15649972545192,
        50.673628311924006,
        53.36418481992265,
        56.23733718383765,
        59.30246654521397,
        62.56915352510917,
        66.04716071154625,
        69.74640878190677,
        73.6769430607349,
        77.84888673616963,
        82.2723764607861,
        86.95747568153503,
        91.91406081236997,
        97.15167531428679,
        102.67934691271236,
        108.50536359601043,
        114.63700474137399,
        121.08022475283471,
        127.83928802528698,
        134.9163559281849,
        142.3110288910832,
        150.01984961725574,
        158.03577697006543,
        166.34764414352205,
        174.9396192473253,
        183.79069122151526,
        192.87420874735562,
        202.1575041173444,
        211.60163732427478,
        221.1612972856975,
        230.78489644821718,
        240.41489136334297,
        249.9883546852005,
        259.43781317725023,
        268.6923518951384,
        277.6789674016692,
        286.3241338696892,
        294.5555269304588,
        302.30383315606076,
        309.5045602343491,
        316.0997560805221,
        322.0395456394432,
        327.2834024408671,
        331.80108756251093,
        335.57321005895034,
        338.59138788749465,
        340.85801424035367,
        342.38565829526397,
        343.19614942603914,
        343.31940825879553,
        342.7920958579444,
        341.65615386987497,
        339.9573044571332,
        337.7435706358458,
        335.06386674254156,
        331.9666967629239,
        328.49898652715615,
        324.7050653739209,
        320.62580450443096,
        316.2979132125385,
        311.7533904849469,
        307.01912783633725,
        302.11665919380056,
        297.0620545484761,
        291.86595525879517,
        286.53374963191425,
        281.06588712495386,
        275.45832775946894,
        269.70311994128343,
        263.7890949441729,
        257.70266030823836,
        251.4286680930224,
        244.95132830197105,
        238.25513391548373,
        231.32576276035638,
        224.15092350289746,
        216.72111850010967,
        209.03030465367073,
        201.07644386223546,
        192.86194588784625,
        184.39401703686426,
        175.6849366971139,
        166.7522894464243,
        157.6191825222645,
        148.31447669372187,
        138.87305312388972,
        129.336130003569,
        119.7516310409901,
        110.17459380302493,
        100.66758992153359,
        91.30111185519665,
        82.15386294880811,
        73.31287000759133,
        64.87332207465101,
        56.93802781881932,
        49.616379909890995,
        43.022721610504014,
        37.27403241916197,
        32.4868893246539,
        28.77371985193412,
        26.238441445754738,
        24.97167351253456,
        25.04580334423982,
        26.510270288574507,
        29.387486257667465,
        33.66981803884819,
        39.31800618652194,
        46.26128449203818,
        54.39930346526782,
        63.60577318485721,
        73.73355549109664,
        84.62078415811915,
        96.09749931821203,
        107.99226162700191,
        120.13826039684949,
        132.378533216179,
        144.57004943487846,
        156.5865515187719,
        168.3201754775322,
        179.6819702052668,
        190.6014994967875,
        201.0257405253043,
        210.91749426927282,
        220.25350466814433,
        229.02245235382435,
        237.22295273497053,
        244.8616523271382,
        251.95148496904685,
        258.5101227475299,
        264.5586356306593,
        270.1203587124727,
        275.2199558740742,
        279.8826626476051,
        284.1336882167508,
        287.99775600512504,
        291.4987635890568,
        294.6595453735322,
        297.5017255769612,
        300.0456551023996,
        302.3104353469491,
        304.31404860506433,
        306.07364742771375,
        307.60612729040207,
        308.92928382640514,
        310.0643471437076,
        311.04227364145197,
        311.9224883958554,
        312.8671295022154,
        314.647898247699,
        313.7593949166655
      ],
      "counting_noise_perturbation_10_90percent_km": [
        16.462284802871427,
        16.541733731892386
      ],
      "perturbation_trials": 256,
      "seed": 1110,
      "reduced_chi_squared": 189.6540233008762,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    },
    {
      "radius_window_km": [
        125410,
        125490
      ],
      "points": 40,
      "minimum_searched_wavelength_km": 4.0,
      "dominant_spatial_wavelength_km": 5.91563193816298,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016861273283291633,
        0.017055879899916596,
        0.017250486516541562,
        0.017445093133166528,
        0.01763969974979149,
        0.017834306366416457,
        0.018028912983041424,
        0.01822351959966639,
        0.018418126216291353,
        0.01861273283291632,
        0.018807339449541285,
        0.01900194606616625,
        0.019196552682791215,
        0.01939115929941618,
        0.019585765916041144,
        0.01978037253266611,
        0.019974979149291076,
        0.020169585765916043,
        0.020364192382541006,
        0.020558798999165972,
        0.020753405615790935,
        0.0209480122324159,
        0.021142618849040867,
        0.021337225465665834,
        0.0215318320822908,
        0.021726438698915763,
        0.02192104531554073,
        0.022115651932165692,
        0.022310258548790658,
        0.022504865165415625,
        0.02269947178204059,
        0.022894078398665554,
        0.02308868501529052,
        0.023283291631915486,
        0.02347789824854045,
        0.023672504865165415,
        0.023867111481790382,
        0.024061718098415348,
        0.02425632471504031,
        0.024450931331665277,
        0.02464553794829024,
        0.024840144564915206,
        0.025034751181540173,
        0.02522935779816514,
        0.025423964414790105,
        0.025618571031415068,
        0.02581317764804003,
        0.026007784264664997,
        0.026202390881289964,
        0.02639699749791493,
        0.026591604114539896,
        0.02678621073116486,
        0.026980817347789825,
        0.027175423964414788,
        0.027370030581039755,
        0.02756463719766472,
        0.027759243814289687,
        0.027953850430914653,
        0.028148457047539616,
        0.02834306366416458,
        0.028537670280789545,
        0.028732276897414512,
        0.028926883514039478,
        0.029121490130664444,
        0.029316096747289407,
        0.029510703363914374,
        0.029705309980539336,
        0.029899916597164303,
        0.03009452321378927,
        0.030289129830414235,
        0.0304837364470392,
        0.030678343063664164,
        0.03087294968028913,
        0.031067556296914094,
        0.03126216291353906,
        0.031456769530164026,
        0.03165137614678899,
        0.03184598276341395,
        0.032040589380038925,
        0.032235195996663885,
        0.03242980261328885,
        0.03262440922991382,
        0.032819015846538784,
        0.03301362246316375,
        0.03320822907978871,
        0.03340283569641368,
        0.03359744231303864,
        0.03379204892966361,
        0.033986655546288574,
        0.03418126216291354,
        0.03437586877953851,
        0.034570475396163466,
        0.03476508201278844,
        0.0349596886294134,
        0.035154295246038365,
        0.03534890186266333,
        0.03554350847928829,
        0.035738115095913264,
        0.035932721712538224,
        0.0361273283291632,
        0.036321934945788156,
        0.03651654156241312,
        0.03671114817903809,
        0.03690575479566305,
        0.03710036141228802,
        0.03729496802891298,
        0.03748957464553795,
        0.037684181262162914,
        0.03787878787878788,
        0.038073394495412846,
        0.038268001112037806,
        0.03846260772866278,
        0.03865721434528774,
        0.038851820961912704,
        0.03904642757853767,
        0.03924103419516264,
        0.0394356408117876,
        0.03963024742841256,
        0.039824854045037536,
        0.040019460661662495,
        0.04021406727828746,
        0.04040867389491243,
        0.040603280511537394,
        0.04079788712816236,
        0.04099249374478732,
        0.04118710036141229,
        0.04138170697803725,
        0.04157631359466222,
        0.041770920211287185,
        0.041965526827912145,
        0.04216013344453712,
        0.04235474006116208,
        0.042549346677787044,
        0.04274395329441201,
        0.042938559911036976,
        0.04313316652766194,
        0.0433277731442869,
        0.043522379760911875,
        0.043716986377536834,
        0.0439115929941618,
        0.04410619961078677,
        0.04430080622741173,
        0.0444954128440367,
        0.04469001946066166,
        0.04488462607728663,
        0.04507923269391159,
        0.04527383931053656,
        0.045468445927161524,
        0.04566305254378649,
        0.04585765916041146,
        0.046052265777036416,
        0.04624687239366139,
        0.04644147901028635,
        0.046636085626911315,
        0.04683069224353628,
        0.04702529886016124,
        0.047219905476786214,
        0.047414512093411174,
        0.04760911871003615,
        0.047803725326661106,
        0.047998331943286066,
        0.04819293855991104,
        0.048387545176536,
        0.04858215179316097,
        0.04877675840978593,
        0.048971365026410904,
        0.04916597164303586,
        0.04936057825966082,
        0.049555184876285796,
        0.049749791492910755,
        0.04994439810953573,
        0.05013900472616069,
        0.05033361134278566,
        0.05052821795941062,
        0.05072282457603558,
        0.05091743119266055,
        0.05111203780928551,
        0.051306644425910486,
        0.051501251042535445,
        0.05169585765916042,
        0.05189046427578538,
        0.05208507089241034,
        0.05227967750903531,
        0.05247428412566027,
        0.05266889074228524,
        0.0528634973589102,
        0.053058103975535176,
        0.053252710592160135,
        0.053447317208785095,
        0.05364192382541007,
        0.05383653044203503,
        0.05403113705866,
        0.05422574367528496,
        0.05442035029190992,
        0.05461495690853489,
        0.05480956352515985,
        0.055004170141784825,
        0.055198776758409784,
        0.05539338337503476,
        0.05558798999165972,
        0.055782596608284676,
        0.05597720322490965,
        0.05617180984153461,
        0.05636641645815958,
        0.05656102307478454,
        0.056755629691409515,
        0.056950236308034474,
        0.057144842924659434,
        0.05733944954128441,
        0.057534056157909366,
        0.05772866277453434,
        0.0579232693911593,
        0.05811787600778427,
        0.05831248262440923,
        0.05850708924103419,
        0.058701695857659164,
        0.05889630247428412,
        0.0590909090909091,
        0.059285515707534056,
        0.059480122324159015,
        0.05967472894078399,
        0.05986933555740895,
        0.06006394217403392,
        0.06025854879065888,
        0.060453155407283854,
        0.06064776202390881,
        0.06084236864053377,
        0.061036975257158746,
        0.061231581873783705,
        0.06142618849040868,
        0.06162079510703364,
        0.06181540172365861,
        0.06201000834028357,
        0.06220461495690853,
        0.0623992215735335,
        0.06259382819015846,
        0.06278843480678344,
        0.0629830414234084,
        0.06317764804003337,
        0.06337225465665833,
        0.06356686127328329,
        0.06376146788990826,
        0.06395607450653322,
        0.06415068112315819,
        0.06434528773978315,
        0.06453989435640813,
        0.06473450097303309,
        0.06492910758965804,
        0.06512371420628302,
        0.06531832082290798,
        0.06551292743953295,
        0.06570753405615791,
        0.06590214067278287,
        0.06609674728940784,
        0.0662913539060328,
        0.06648596052265777,
        0.06668056713928273,
        0.06687517375590771,
        0.06706978037253267,
        0.06726438698915763,
        0.0674589936057826,
        0.06765360022240756,
        0.06784820683903253,
        0.06804281345565749,
        0.06823742007228246,
        0.06843202668890742,
        0.06862663330553238,
        0.06882123992215736,
        0.06901584653878232,
        0.06921045315540729,
        0.06940505977203225,
        0.06959966638865722,
        0.06979427300528218,
        0.06998887962190714,
        0.07018348623853211,
        0.07037809285515707,
        0.07057269947178205,
        0.070767306088407,
        0.07096191270503197,
        0.07115651932165694,
        0.0713511259382819,
        0.07154573255490687,
        0.07174033917153183,
        0.0719349457881568,
        0.07212955240478176,
        0.07232415902140672,
        0.0725187656380317,
        0.07271337225465666,
        0.07290797887128163,
        0.07310258548790659,
        0.07329719210453156,
        0.07349179872115652,
        0.07368640533778148,
        0.07388101195440645,
        0.07407561857103141,
        0.07427022518765639,
        0.07446483180428135,
        0.07465943842090632,
        0.07485404503753128,
        0.07504865165415624,
        0.07524325827078121,
        0.07543786488740617,
        0.07563247150403114,
        0.0758270781206561,
        0.07602168473728108,
        0.07621629135390603,
        0.076410897970531,
        0.07660550458715597,
        0.07680011120378093,
        0.0769947178204059,
        0.07718932443703086,
        0.07738393105365582,
        0.07757853767028079,
        0.07777314428690575,
        0.07796775090353072,
        0.07816235752015568,
        0.07835696413678066,
        0.07855157075340562,
        0.07874617737003058,
        0.07894078398665555,
        0.07913539060328051,
        0.07932999721990547,
        0.07952460383653044,
        0.0797192104531554,
        0.07991381706978037,
        0.08010842368640533,
        0.0803030303030303,
        0.08049763691965527,
        0.08069224353628023,
        0.0808868501529052,
        0.08108145676953016,
        0.08127606338615513,
        0.08147067000278009,
        0.08166527661940506,
        0.08185988323603002,
        0.08205448985265498,
        0.08224909646927996,
        0.08244370308590492,
        0.08263830970252989,
        0.08283291631915485,
        0.08302752293577982,
        0.08322212955240478,
        0.08341673616902974,
        0.08361134278565471,
        0.08380594940227967,
        0.08400055601890465,
        0.0841951626355296,
        0.08438976925215456,
        0.08458437586877954,
        0.0847789824854045,
        0.08497358910202947,
        0.08516819571865443,
        0.0853628023352794,
        0.08555740895190436,
        0.08575201556852932,
        0.0859466221851543,
        0.08614122880177925,
        0.08633583541840423,
        0.08653044203502919,
        0.08672504865165416,
        0.08691965526827912,
        0.08711426188490408,
        0.08730886850152905,
        0.08750347511815401,
        0.08769808173477898,
        0.08789268835140394,
        0.08808729496802892,
        0.08828190158465388,
        0.08847650820127884,
        0.08867111481790381,
        0.08886572143452877,
        0.08906032805115374,
        0.0892549346677787,
        0.08944954128440367,
        0.08964414790102863,
        0.0898387545176536,
        0.09003336113427857,
        0.09022796775090353,
        0.0904225743675285,
        0.09061718098415346,
        0.09081178760077842,
        0.09100639421740339,
        0.09120100083402835,
        0.09139560745065332,
        0.09159021406727828,
        0.09178482068390326,
        0.09197942730052822,
        0.09217403391715318,
        0.09236864053377815,
        0.09256324715040311,
        0.09275785376702808,
        0.09295246038365304,
        0.09314706700027801,
        0.09334167361690297,
        0.09353628023352793,
        0.0937308868501529,
        0.09392549346677787,
        0.09412010008340284,
        0.0943147067000278,
        0.09450931331665277,
        0.09470391993327773,
        0.09489852654990269,
        0.09509313316652766,
        0.09528773978315262,
        0.0954823463997776,
        0.09567695301640256,
        0.09587155963302751,
        0.09606616624965249,
        0.09626077286627745,
        0.09645537948290242,
        0.09664998609952738,
        0.09684459271615235,
        0.09703919933277731,
        0.09723380594940227,
        0.09742841256602724,
        0.0976230191826522,
        0.09781762579927718,
        0.09801223241590214,
        0.09820683903252711,
        0.09840144564915207,
        0.09859605226577703,
        0.098790658882402,
        0.09898526549902696,
        0.09917987211565193,
        0.0993744787322769,
        0.09956908534890187,
        0.09976369196552683,
        0.09995829858215179,
        0.10015290519877676,
        0.10034751181540172,
        0.10054211843202669,
        0.10073672504865165,
        0.10093133166527662,
        0.10112593828190158,
        0.10132054489852654,
        0.10151515151515152,
        0.10170975813177648,
        0.10190436474840145,
        0.10209897136502641,
        0.10229357798165137,
        0.10248818459827634,
        0.1026827912149013,
        0.10287739783152627,
        0.10307200444815123,
        0.1032666110647762,
        0.10346121768140117,
        0.10365582429802613,
        0.1038504309146511,
        0.10404503753127606,
        0.10423964414790103,
        0.10443425076452599,
        0.10462885738115096,
        0.10482346399777592,
        0.10501807061440088,
        0.10521267723102586,
        0.10540728384765082,
        0.10560189046427579,
        0.10579649708090075,
        0.10599110369752572,
        0.10618571031415068,
        0.10638031693077564,
        0.10657492354740061,
        0.10676953016402557,
        0.10696413678065055,
        0.1071587433972755,
        0.10735335001390048,
        0.10754795663052544,
        0.1077425632471504,
        0.10793716986377537,
        0.10813177648040033,
        0.1083263830970253,
        0.10852098971365026,
        0.10871559633027522,
        0.1089102029469002,
        0.10910480956352515,
        0.10929941618015013,
        0.10949402279677509,
        0.10968862941340006,
        0.10988323603002502,
        0.11007784264664998,
        0.11027244926327495,
        0.11046705587989991,
        0.11066166249652488,
        0.11085626911314984,
        0.11105087572977482,
        0.11124548234639978,
        0.11144008896302474,
        0.11163469557964971,
        0.11182930219627467,
        0.11202390881289964,
        0.1122185154295246,
        0.11241312204614957,
        0.11260772866277453,
        0.1128023352793995,
        0.11299694189602447,
        0.11319154851264943,
        0.1133861551292744,
        0.11358076174589936,
        0.11377536836252432,
        0.11396997497914929,
        0.11416458159577425,
        0.11435918821239922,
        0.11455379482902418,
        0.11474840144564916,
        0.11494300806227412,
        0.11513761467889908,
        0.11533222129552405,
        0.11552682791214901,
        0.11572143452877398,
        0.11591604114539894,
        0.11611064776202391,
        0.11630525437864887,
        0.11649986099527383,
        0.1166944676118988,
        0.11688907422852376,
        0.11708368084514874,
        0.1172782874617737,
        0.11747289407839867,
        0.11766750069502363,
        0.11786210731164859,
        0.11805671392827356,
        0.11825132054489852,
        0.1184459271615235,
        0.11864053377814845,
        0.11883514039477343,
        0.11902974701139839,
        0.11922435362802335,
        0.11941896024464832,
        0.11961356686127328,
        0.11980817347789825,
        0.12000278009452321,
        0.12019738671114817,
        0.12039199332777314,
        0.1205865999443981,
        0.12078120656102308,
        0.12097581317764804,
        0.12117041979427301,
        0.12136502641089797,
        0.12155963302752293,
        0.1217542396441479,
        0.12194884626077286,
        0.12214345287739783,
        0.1223380594940228,
        0.12253266611064777,
        0.12272727272727273,
        0.12292187934389769,
        0.12311648596052266,
        0.12331109257714762,
        0.12350569919377259,
        0.12370030581039755,
        0.12389491242702252,
        0.12408951904364748,
        0.12428412566027244,
        0.12447873227689742,
        0.12467333889352238,
        0.12486794551014735,
        0.1250625521267723,
        0.12525715874339727,
        0.12545176536002225,
        0.12564637197664721,
        0.12584097859327217,
        0.12603558520989713,
        0.12623019182652212,
        0.12642479844314708,
        0.12661940505977204,
        0.126814011676397,
        0.12700861829302196,
        0.12720322490964694,
        0.1273978315262719,
        0.12759243814289686,
        0.12778704475952182,
        0.12798165137614678,
        0.12817625799277177,
        0.12837086460939673,
        0.1285654712260217,
        0.12876007784264665,
        0.12895468445927163,
        0.1291492910758966,
        0.12934389769252155,
        0.1295385043091465,
        0.12973311092577147,
        0.12992771754239646,
        0.13012232415902142,
        0.13031693077564638,
        0.13051153739227134,
        0.1307061440088963,
        0.13090075062552128,
        0.13109535724214624,
        0.1312899638587712,
        0.13148457047539616,
        0.13167917709202112,
        0.1318737837086461,
        0.13206839032527107,
        0.13226299694189603,
        0.132457603558521,
        0.13265221017514597,
        0.13284681679177093,
        0.1330414234083959,
        0.13323603002502085,
        0.1334306366416458,
        0.1336252432582708,
        0.13381984987489576,
        0.13401445649152072,
        0.13420906310814568,
        0.13440366972477064,
        0.13459827634139562,
        0.13479288295802058,
        0.13498748957464554,
        0.1351820961912705,
        0.1353767028078955,
        0.13557130942452045,
        0.1357659160411454,
        0.13596052265777037,
        0.13615512927439533,
        0.1363497358910203,
        0.13654434250764527,
        0.13673894912427023,
        0.1369335557408952,
        0.13712816235752015,
        0.13732276897414514,
        0.1375173755907701,
        0.13771198220739506,
        0.13790658882402002,
        0.13810119544064497,
        0.13829580205726996,
        0.13849040867389492,
        0.13868501529051988,
        0.13887962190714484,
        0.13907422852376983,
        0.1392688351403948,
        0.13946344175701975,
        0.1396580483736447,
        0.13985265499026966,
        0.14004726160689465,
        0.1402418682235196,
        0.14043647484014457,
        0.14063108145676953,
        0.1408256880733945,
        0.14102029469001948,
        0.14121490130664444,
        0.1414095079232694,
        0.14160411453989435,
        0.14179872115651931,
        0.14199332777314427,
        0.14218793438976926,
        0.14238254100639422,
        0.14257714762301918,
        0.14277175423964414,
        0.14296636085626913,
        0.14316096747289409,
        0.14335557408951904,
        0.143550180706144,
        0.14374478732276896,
        0.14393939393939395,
        0.1441340005560189,
        0.14432860717264387,
        0.14452321378926883,
        0.1447178204058938,
        0.14491242702251877,
        0.14510703363914373,
        0.1453016402557687,
        0.14549624687239365,
        0.1456908534890186,
        0.1458854601056436,
        0.14608006672226856,
        0.14627467333889352,
        0.14646927995551848,
        0.14666388657214346,
        0.14685849318876842,
        0.14705309980539338,
        0.14724770642201834,
        0.1474423130386433,
        0.1476369196552683,
        0.14783152627189325,
        0.1480261328885182,
        0.14822073950514317,
        0.14841534612176813,
        0.14860995273839311,
        0.14880455935501807,
        0.14899916597164303,
        0.149193772588268,
        0.14938837920489298,
        0.14958298582151794,
        0.1497775924381429,
        0.14997219905476786,
        0.15016680567139282,
        0.1503614122880178,
        0.15055601890464276,
        0.15075062552126772,
        0.15094523213789268,
        0.15113983875451764,
        0.15133444537114263,
        0.1515290519877676,
        0.15172365860439255,
        0.1519182652210175,
        0.15211287183764247,
        0.15230747845426745,
        0.1525020850708924,
        0.15269669168751737,
        0.15289129830414233,
        0.15308590492076732,
        0.15328051153739228,
        0.15347511815401724,
        0.1536697247706422,
        0.15386433138726716,
        0.15405893800389214,
        0.1542535446205171,
        0.15444815123714206,
        0.15464275785376702,
        0.15483736447039198,
        0.15503197108701697,
        0.15522657770364193,
        0.1554211843202669,
        0.15561579093689185,
        0.15581039755351683,
        0.1560050041701418,
        0.15619961078676675,
        0.1563942174033917,
        0.15658882402001667,
        0.15678343063664166,
        0.15697803725326662,
        0.15717264386989158,
        0.15736725048651654,
        0.1575618571031415,
        0.15775646371976648,
        0.15795107033639144,
        0.1581456769530164,
        0.15834028356964136,
        0.15853489018626632,
        0.1587294968028913,
        0.15892410341951627,
        0.15911871003614123,
        0.15931331665276618,
        0.15950792326939117,
        0.15970252988601613,
        0.1598971365026411,
        0.16009174311926605,
        0.160286349735891,
        0.160480956352516,
        0.16067556296914096,
        0.16087016958576592,
        0.16106477620239087,
        0.16125938281901583,
        0.16145398943564082,
        0.16164859605226578,
        0.16184320266889074,
        0.1620378092855157,
        0.1622324159021407,
        0.16242702251876565,
        0.1626216291353906,
        0.16281623575201556,
        0.16301084236864052,
        0.1632054489852655,
        0.16340005560189047,
        0.16359466221851543,
        0.1637892688351404,
        0.16398387545176535,
        0.16417848206839034,
        0.1643730886850153,
        0.16456769530164025,
        0.1647623019182652,
        0.16495690853489017,
        0.16515151515151516,
        0.16534612176814012,
        0.16554072838476508,
        0.16573533500139004,
        0.16592994161801503,
        0.16612454823463998,
        0.16631915485126494,
        0.1665137614678899,
        0.16670836808451486,
        0.16690297470113985,
        0.1670975813177648,
        0.16729218793438977,
        0.16748679455101473,
        0.1676814011676397,
        0.16787600778426467,
        0.16807061440088963,
        0.1682652210175146,
        0.16845982763413955,
        0.16865443425076454,
        0.1688490408673895,
        0.16904364748401446,
        0.16923825410063942,
        0.16943286071726438,
        0.16962746733388936,
        0.16982207395051432,
        0.17001668056713928,
        0.17021128718376424,
        0.1704058938003892,
        0.1706005004170142,
        0.17079510703363915,
        0.1709897136502641,
        0.17118432026688907,
        0.17137892688351403,
        0.171573533500139,
        0.17176814011676397,
        0.17196274673338893,
        0.1721573533500139,
        0.17235195996663888,
        0.17254656658326384,
        0.1727411731998888,
        0.17293577981651376,
        0.17313038643313872,
        0.1733249930497637,
        0.17351959966638866,
        0.17371420628301362,
        0.17390881289963858,
        0.17410341951626354,
        0.17429802613288853,
        0.1744926327495135,
        0.17468723936613845,
        0.1748818459827634,
        0.17507645259938837,
        0.17527105921601335,
        0.1754656658326383,
        0.17566027244926327,
        0.17585487906588823,
        0.17604948568251322,
        0.17624409229913818,
        0.17643869891576314,
        0.1766333055323881,
        0.17682791214901306,
        0.17702251876563804,
        0.177217125382263,
        0.17741173199888796,
        0.17760633861551292,
        0.17780094523213788,
        0.17799555184876287,
        0.17819015846538783,
        0.1783847650820128,
        0.17857937169863775,
        0.17877397831526273,
        0.1789685849318877,
        0.17916319154851265,
        0.1793577981651376,
        0.17955240478176257,
        0.17974701139838756,
        0.17994161801501252,
        0.18013622463163748,
        0.18033083124826244,
        0.1805254378648874,
        0.18072004448151238,
        0.18091465109813734,
        0.1811092577147623,
        0.18130386433138726,
        0.18149847094801222,
        0.1816930775646372,
        0.18188768418126217,
        0.18208229079788713,
        0.18227689741451208,
        0.18247150403113707,
        0.18266611064776203,
        0.182860717264387,
        0.18305532388101195,
        0.1832499304976369,
        0.1834445371142619,
        0.18363914373088686,
        0.18383375034751182,
        0.18402835696413677,
        0.18422296358076173,
        0.18441757019738672,
        0.18461217681401168,
        0.18480678343063664,
        0.1850013900472616,
        0.1851959966638866,
        0.18539060328051155,
        0.1855852098971365,
        0.18577981651376146,
        0.18597442313038642,
        0.1861690297470114,
        0.18636363636363637,
        0.18655824298026133,
        0.1867528495968863,
        0.18694745621351125,
        0.18714206283013624,
        0.1873366694467612,
        0.18753127606338615,
        0.1877258826800111,
        0.18792048929663607,
        0.18811509591326106,
        0.18830970252988602,
        0.18850430914651098,
        0.18869891576313594,
        0.18889352237976093,
        0.18908812899638588,
        0.18928273561301084,
        0.1894773422296358,
        0.18967194884626076,
        0.18986655546288575,
        0.1900611620795107,
        0.19025576869613567,
        0.19045037531276063,
        0.1906449819293856,
        0.19083958854601057,
        0.19103419516263553,
        0.1912288017792605,
        0.19142340839588545,
        0.19161801501251044,
        0.1918126216291354,
        0.19200722824576036,
        0.19220183486238532,
        0.19239644147901028,
        0.19259104809563526,
        0.19278565471226022,
        0.19298026132888518,
        0.19317486794551014,
        0.1933694745621351,
        0.1935640811787601,
        0.19375868779538505,
        0.19395329441201,
        0.19414790102863497,
        0.19434250764525993,
        0.1945371142618849,
        0.19473172087850987,
        0.19492632749513483,
        0.1951209341117598,
        0.19531554072838478,
        0.19551014734500974,
        0.1957047539616347,
        0.19589936057825966,
        0.19609396719488462,
        0.1962885738115096,
        0.19648318042813456,
        0.19667778704475952,
        0.19687239366138448,
        0.19706700027800944,
        0.19726160689463443,
        0.1974562135112594,
        0.19765082012788435,
        0.1978454267445093,
        0.1980400333611343,
        0.19823463997775925,
        0.1984292465943842,
        0.19862385321100917,
        0.19881845982763413,
        0.19901306644425912,
        0.19920767306088408,
        0.19940227967750904,
        0.199596886294134,
        0.19979149291075896,
        0.19998609952738394,
        0.2001807061440089,
        0.20037531276063386,
        0.20056991937725882,
        0.20076452599388378,
        0.20095913261050877,
        0.20115373922713373,
        0.20134834584375869,
        0.20154295246038365,
        0.20173755907700863,
        0.2019321656936336,
        0.20212677231025855,
        0.2023213789268835,
        0.20251598554350847,
        0.20271059216013346,
        0.20290519877675842,
        0.20309980539338338,
        0.20329441201000834,
        0.2034890186266333,
        0.20368362524325828,
        0.20387823185988324,
        0.2040728384765082,
        0.20426744509313316,
        0.20446205170975812,
        0.2046566583263831,
        0.20485126494300807,
        0.20504587155963303,
        0.20524047817625798,
        0.20543508479288297,
        0.20562969140950793,
        0.2058242980261329,
        0.20601890464275785,
        0.2062135112593828,
        0.2064081178760078,
        0.20660272449263276,
        0.20679733110925771,
        0.20699193772588267,
        0.20718654434250763,
        0.20738115095913262,
        0.20757575757575758,
        0.20777036419238254,
        0.2079649708090075,
        0.20815957742563249,
        0.20835418404225745,
        0.2085487906588824,
        0.20874339727550736,
        0.20893800389213232,
        0.2091326105087573,
        0.20932721712538227,
        0.20952182374200723,
        0.2097164303586322,
        0.20991103697525715,
        0.21010564359188214,
        0.2103002502085071,
        0.21049485682513205,
        0.210689463441757,
        0.21088407005838197,
        0.21107867667500696,
        0.21127328329163192,
        0.21146788990825688,
        0.21166249652488184,
        0.21185710314150683,
        0.21205170975813178,
        0.21224631637475674,
        0.2124409229913817,
        0.21263552960800666,
        0.21283013622463165,
        0.2130247428412566,
        0.21321934945788157,
        0.21341395607450653,
        0.2136085626911315,
        0.21380316930775647,
        0.21399777592438143,
        0.2141923825410064,
        0.21438698915763135,
        0.21458159577425634,
        0.2147762023908813,
        0.21497080900750626,
        0.21516541562413122,
        0.21536002224075618,
        0.21555462885738116,
        0.21574923547400612,
        0.21594384209063108,
        0.21613844870725604,
        0.216333055323881,
        0.216527661940506,
        0.21672226855713095,
        0.2169168751737559,
        0.21711148179038087,
        0.21730608840700583,
        0.2175006950236308,
        0.21769530164025577,
        0.21788990825688073,
        0.2180845148735057,
        0.21827912149013068,
        0.21847372810675564,
        0.2186683347233806,
        0.21886294134000556,
        0.21905754795663052,
        0.2192521545732555,
        0.21944676118988046,
        0.21964136780650542,
        0.21983597442313038,
        0.22003058103975534,
        0.22022518765638033,
        0.2204197942730053,
        0.22061440088963025,
        0.2208090075062552,
        0.2210036141228802,
        0.22119822073950515,
        0.2213928273561301,
        0.22158743397275507,
        0.22178204058938003,
        0.22197664720600502,
        0.22217125382262998,
        0.22236586043925494,
        0.2225604670558799,
        0.22275507367250486,
        0.22294968028912984,
        0.2231442869057548,
        0.22333889352237976,
        0.22353350013900472,
        0.22372810675562968,
        0.22392271337225467,
        0.22411731998887963,
        0.22431192660550459,
        0.22450653322212955,
        0.22470113983875453,
        0.2248957464553795,
        0.22509035307200445,
        0.2252849596886294,
        0.22547956630525437,
        0.22567417292187936,
        0.22586877953850432,
        0.22606338615512928,
        0.22625799277175423,
        0.2264525993883792,
        0.22664720600500418,
        0.22684181262162914,
        0.2270364192382541,
        0.22723102585487906,
        0.22742563247150405,
        0.227620239088129,
        0.22781484570475397,
        0.22800945232137892,
        0.22820405893800388,
        0.22839866555462887,
        0.22859327217125383,
        0.2287878787878788,
        0.22898248540450375,
        0.2291770920211287,
        0.2293716986377537,
        0.22956630525437866,
        0.22976091187100361,
        0.22995551848762857,
        0.23015012510425353,
        0.23034473172087852,
        0.23053933833750348,
        0.23073394495412844,
        0.2309285515707534,
        0.23112315818737839,
        0.23131776480400335,
        0.2315123714206283,
        0.23170697803725326,
        0.23190158465387822,
        0.2320961912705032,
        0.23229079788712817,
        0.23248540450375313,
        0.2326800111203781,
        0.23287461773700305,
        0.23306922435362804,
        0.233263830970253,
        0.23345843758687795,
        0.2336530442035029,
        0.23384765082012787,
        0.23404225743675286,
        0.23423686405337782,
        0.23443147067000278,
        0.23462607728662774,
        0.23482068390325272,
        0.23501529051987768,
        0.23520989713650264,
        0.2354045037531276,
        0.23559911036975256,
        0.23579371698637755,
        0.2359883236030025,
        0.23618293021962747,
        0.23637753683625243,
        0.2365721434528774,
        0.23676675006950237,
        0.23696135668612733,
        0.2371559633027523,
        0.23735056991937725,
        0.23754517653600224,
        0.2377397831526272,
        0.23793438976925216,
        0.23812899638587712,
        0.23832360300250208,
        0.23851820961912706,
        0.23871281623575202,
        0.23890742285237698,
        0.23910202946900194,
        0.2392966360856269,
        0.2394912427022519,
        0.23968584931887685,
        0.2398804559355018,
        0.24007506255212677,
        0.24026966916875173,
        0.2404642757853767,
        0.24065888240200167,
        0.24085348901862663,
        0.2410480956352516,
        0.24124270225187658,
        0.24143730886850154,
        0.2416319154851265,
        0.24182652210175146,
        0.24202112871837642,
        0.2422157353350014,
        0.24241034195162636,
        0.24260494856825132,
        0.24279955518487628,
        0.24299416180150124,
        0.24318876841812623,
        0.2433833750347512,
        0.24357798165137615,
        0.2437725882680011,
        0.2439671948846261,
        0.24416180150125105,
        0.244356408117876,
        0.24455101473450097,
        0.24474562135112593,
        0.24494022796775092,
        0.24513483458437588,
        0.24532944120100084,
        0.2455240478176258,
        0.24571865443425076,
        0.24591326105087574,
        0.2461078676675007,
        0.24630247428412566,
        0.24649708090075062,
        0.24669168751737558,
        0.24688629413400057,
        0.24708090075062553,
        0.24727550736725049,
        0.24747011398387544,
        0.24766472060050043,
        0.2478593272171254,
        0.24805393383375035,
        0.2482485404503753,
        0.24844314706700027,
        0.24863775368362526,
        0.24883236030025022,
        0.24902696691687518,
        0.24922157353350013,
        0.2494161801501251,
        0.24961078676675008,
        0.24980539338337504,
        0.25
      ],
      "fit_improvement": [
        598.9702053923447,
        597.6889655127118,
        596.2802176079887,
        594.7345219227775,
        593.0418501431166,
        591.1915655466642,
        589.1724062126402,
        586.9724722619457,
        584.5792182634523,
        581.979452124412,
        579.1593419789742,
        576.104432796829,
        572.7996746485256,
        569.2294647788668,
        565.3777058450844,
        561.2278828595911,
        556.7631615214477,
        551.9665107056943,
        546.8208518799673,
        541.3092381036147,
        535.4150650018806,
        529.1223156590165,
        522.4158407005455,
        515.2816738980265,
        507.7073823960817,
        499.682449107443,
        491.1986829392943,
        482.25065031846344,
        472.83611902033044,
        462.9565026613635,
        452.6172915173535,
        441.82845275626454,
        430.604780949771,
        418.96617811321005,
        406.93784180405714,
        394.55034026563476,
        381.83955548123015,
        368.84647847504027,
        355.6168463158603,
        342.20061695170654,
        328.6512859575692,
        315.02505806321165,
        301.37989533175596,
        287.7744723575605,
        274.2670760755768,
        260.91449300193926,
        247.7709293719585,
        234.88700934219753,
        222.3088930890662,
        210.07755047577018,
        198.228217457673,
        186.79005225673214,
        175.7859973937752,
        165.23284278976712,
        155.14147513471517,
        145.5172902313133,
        136.36073850921247,
        127.66796961786565,
        119.43153997894808,
        111.64114727761158,
        104.28435783420339,
        97.34729628658822,
        90.81527165904919,
        84.67331933144092,
        78.90664431167973,
        73.50095725079804,
        68.44270055398914,
        63.71916749649223,
        59.31852224072071,
        55.229732886952455,
        51.44243301898548,
        47.94672950915874,
        44.73297555160435,
        41.79152798404098,
        39.11250698846787,
        36.685574349479786,
        34.49974377772432,
        32.543233605765735,
        30.803368692417067,
        29.26653489085946,
        27.918186185313786,
        26.74290177769626,
        25.724488148706264,
        24.846119501451064,
        24.09050903040695,
        23.440103098616802,
        22.87729056278983,
        22.384620042869344,
        21.945018760773568,
        21.54200754514079,
        21.159907600169532,
        20.784035572297924,
        20.40088424804268,
        19.998286835018995,
        19.565563196176335,
        19.093646627518297,
        18.575189814770027,
        18.004648513654068,
        17.378341323558157,
        16.694483726299293,
        15.953194406304762,
        15.156471822213042,
        14.308139124349747,
        13.413755859221167,
        12.48049550614323,
        11.516988765277414,
        10.533133646291772,
        9.5398747477591,
        8.548955593674675,
        7.572649401863703,
        6.623475076136796,
        5.713906407236059,
        4.856083309367344,
        4.0615343023292585,
        3.3409193018843206,
        2.7038010774141084,
        2.1584525029502397,
        1.7117050442579638,
        1.3688419142946708,
        1.1335371468980835,
        1.0078396527652183,
        0.992199296749212,
        1.0855303133555128,
        1.2853060647838168,
        1.5876783062223954,
        1.9876137740706996,
        2.479041029865936,
        3.0550010168135024,
        3.707795633416832,
        4.4291297026762875,
        5.210242915360438,
        6.0420295568648745,
        6.9151450056089585,
        7.820099048623433,
        8.747336945986955,
        9.687309856647108,
        10.630536697060885,
        11.567659739423705,
        12.489496279899672,
        13.38708854262735,
        14.25175366530739,
        15.075135176956602,
        15.84925687263848,
        16.56657945994984,
        17.22005984244261,
        17.803212455892016,
        18.310171716386378,
        18.735754396407618,
        19.075520626467014,
        19.325832223459397,
        19.483907159562285,
        19.547869184865874,
        19.516791874263127,
        19.390736652623467,
        19.170784630330722,
        18.859062325404906,
        18.458761535729604,
        17.97415373933392,
        17.410599433899478,
        16.774552777789026,
        16.073561769989873,
        15.316264017167736,
        14.512377898984724,
        13.672688677611335,
        12.809028825826113,
        11.934251593196938,
        11.062196614542241,
        10.207646211274156,
        9.386270964329174,
        8.614563164000943,
        7.90975687920165,
        7.289733642440651,
        6.772913115294785,
        6.3781285715188,
        6.124487590339866,
        6.03121896007338,
        6.117507411955458,
        6.402318389205765,
        6.904215556510242,
        7.641174121502983,
        8.630393230248389,
        9.888110683416429,
        11.42942298642688,
        13.268113303756262,
        15.41648926570395,
        17.88523182709776,
        20.68325557085108,
        23.81758006509571,
        27.293211204000947,
        31.113030966999066,
        35.277693782937426,
        39.78552772808317,
        44.63243913831156,
        49.811819867338585,
        55.314457339124786,
        61.12844866415391,
        67.23912133751396,
        73.62896431901014,
        80.27757451179048,
        87.16162470465746,
        94.25485982752183,
        101.52812880304849,
        108.9494592899741,
        116.48418215534558,
        124.09511155990664,
        131.7427850979031,
        139.3857665363755,
        146.98101141853513,
        154.484293231698,
        161.85068512039524,
        169.0350893991138,
        175.9928045476878,
        182.680117117886,
        189.05490419238,
        195.07723084312448,
        200.70992652562802,
        205.91912456475526,
        210.67474983380117,
        214.9509413493065,
        218.72639870217145,
        221.9846438874402,
        224.71419302250473,
        226.9086354875442,
        228.56662101749822,
        229.69175807259114,
        230.29242929230338,
        230.38153190696227,
        229.97615259018045,
        229.09718736851838,
        227.76891787861953,
        226.01855551915332,
        223.8757649455918,
        221.37217797003325,
        218.540908327389,
        215.41607701896845,
        212.03235709966003,
        208.42454587581133,
        204.627171551773,
        200.67414041242318,
        196.59842965194912,
        192.43182994062082,
        188.20474074095034,
        183.94602022181925,
        179.68289035834923,
        175.44089644101757,
        171.24391875825546,
        167.1142326876449,
        163.07261187471047,
        159.13846765424978,
        155.33001644984674,
        151.66446565371572,
        148.15820752436812,
        144.82701002196464,
        141.68619329601594,
        138.7507807941787,
        136.03561469666738,
        133.55542659357099,
        131.32485597937048,
        129.3584111809294,
        127.6703696802002,
        126.27461734156684,
        125.18442869595489,
        124.41219305536835,
        123.96909372047519,
        123.86474979666814,
        124.10683205949327,
        124.70066583346005,
        125.64883491169515,
        126.95080110945413,
        128.6025540927064,
        130.59630565311738,
        132.92024162955363,
        135.55834323721047,
        138.49028770736763,
        141.69143592609217,
        145.13291226353098,
        148.78177909088893,
        152.60130568106976,
        156.5513283763937,
        160.58869617815975,
        164.66779336001431,
        168.74112841471927,
        172.75997668560404,
        176.67506246959204,
        180.43726525175572,
        183.99833406811345,
        187.31159380246547,
        190.33262749626238,
        193.01991946472185,
        195.33544513217822,
        197.24519497971136,
        198.71962178710055,
        199.73400239377503,
        200.26870744325532,
        200.30937495667925,
        199.84698604869956,
        198.8778436004053,
        197.40345718712356,
        195.43033997244385,
        192.96972557139267,
        190.03721500146514,
        186.65236572433048,
        182.83823637579943,
        178.6209020287308,
        174.02895567610534,
        169.09301200705096,
        163.84522943277813,
        158.3188656699308,
        152.5478809900219,
        146.56660149923437,
        140.40945254989077,
        134.11076965462863,
        127.70469115223963,
        121.22513345932373,
        114.7058461526413,
        108.1805404975105,
        101.68308151147646,
        95.24773037694871,
        88.90942113589408,
        82.70405324862567,
        76.6687798968901,
        70.84227095770359,
        65.26492944306389,
        59.97904093755282,
        55.02883718582045,
        50.46045746670244,
        46.32179468767779,
        42.66221715481141,
        39.532161597187745,
        36.98259809574492,
        35.0643728993712,
        33.82744049604357,
        33.32000151603951,
        33.5875678419323,
        34.67198045364771,
        36.610408830245575,
        39.434362977508954,
        43.16875021006179,
        47.83100860227416,
        53.43034751190297,
        59.96712282135733,
        67.43237064934566,
        75.80751843857384,
        85.0642867526619,
        95.16478908317924,
        106.06183075863648,
        117.69940194281709,
        130.01335396977854,
        142.93224311046103,
        156.37832147354354,
        170.26865122676313,
        184.5163157403262,
        199.03169960072347,
        213.72380867234472,
        228.5016014087008,
        243.27530332346697,
        257.9576778013109,
        272.46522813900884,
        286.71930775078255,
        300.6471177609675,
        314.18257368119293,
        327.26702549345663,
        339.8498182258707,
        351.88868302432013,
        363.34995181329987,
        374.20859192786213,
        384.4480606038938,
        394.0599829373623,
        403.04366084110984,
        411.40542458562555,
        419.157842619453,
        426.31880940334,
        432.9105348088765,
        438.95846205494405,
        444.4901440021666,
        449.5341097184219,
        454.11875440791295,
        458.2712859346947,
        462.0167601865977,
        465.3772353877853,
        468.37107220792933,
        471.0124022207113,
        473.31078207740705,
        475.2710448696714,
        476.8933537814597,
        478.17345651422863,
        479.10313235943784,
        479.67081742783574,
        479.86238764759685,
        479.66207390854686,
        479.0534793206603,
        478.0206651022452,
        476.5492692118555,
        474.6276205524026,
        472.2478114385906,
        469.4066920350685,
        466.10675261915435,
        462.35686274879447,
        458.172840644189,
        453.577831211639,
        448.6024770097463,
        443.28487290923096,
        437.67030202559476,
        431.81075748041303,
        425.7642614247627,
        419.5939992811871,
        413.3672930762925,
        407.15444281018347,
        401.0274688391959,
        395.0587910780058,
        389.3198823557178,
        383.87993345030236,
        378.80456620469874,
        374.1546287865166,
        369.98510373745535,
        366.3441551580964,
        363.2723364081039,
        360.80197430499965,
        358.9567402088367,
        357.7514128030133,
        357.19183201398556,
        357.27503851203676,
        357.989588720719,
        359.3160313150093,
        361.2275278534487,
        363.6905974839925,
        366.6659635803449,
        370.1094786843355,
        373.97310322178515,
        378.2059130946693,
        382.7551114047692,
        387.5670202133314,
        392.5880293724158,
        397.76548106696225,
        403.0484707715108,
        408.3885478383678,
        413.74030187028006,
        419.0618243522032,
        424.31503866554056,
        429.4658955058141,
        434.4844347703194,
        439.3447190560936,
        444.0246478746425,
        448.505665404652,
        452.77237792133656,
        456.8120998246234,
        460.6143493164614,
        464.17031615422616,
        467.47232446670785,
        470.51331333103997,
        473.28635667954757,
        475.7842421777324,
        477.9991260650846,
        479.9222776848226,
        481.54392367660915,
        482.85319771392807,
        483.83819739261565,
        484.4861455799145,
        484.7836493742215,
        484.71704595716255,
        484.2728211827319,
        483.43808386853846,
        482.20107653704576,
        480.5517018827718,
        478.4820435700974,
        475.9868601224859,
        473.06403164172076,
        469.7149408576694,
        465.9447724836494,
        461.7627179383385,
        457.18207606267316,
        452.2202443583994,
        446.898599337819,
        441.24226862969056,
        435.2798013649017,
        429.0427469103484,
        422.56515509387185,
        415.8830135579289,
        409.033639718359,
        402.05504594500985,
        394.98529701604554,
        387.8618786521478,
        380.7210950632216,
        373.5975120128008,
        366.5234600130004,
        359.52861000299623,
        352.63963133544956,
        345.87993919352124,
        339.2695357746136,
        332.8249467842201,
        326.5592520529228,
        320.4822064799522,
        314.6004450682782,
        308.91776359238344,
        303.43546447037977,
        298.15275573374,
        293.06718963582506,
        288.1751264488584,
        283.47220839927223,
        278.9538285112237,
        274.6155793876464,
        270.4536676681097,
        266.46528105957003,
        262.6488964208297,
        259.00451935615706,
        255.53384808209154,
        252.24035689904846,
        249.12929733619774,
        246.20761784255367,
        243.48380566143,
        240.9676571414359,
        238.66998510270574,
        236.60227390215096,
        234.77629445248886,
        233.20369259387058,
        231.89556486348556,
        230.86203584962053,
        230.1118509660137,
        229.65199767251,
        229.48736694690433,
        229.62046524032468,
        230.05118529190116,
        230.77664210951912,
        231.79107821526432,
        233.08583997890452,
        234.64942459005778,
        236.46759501626417,
        238.52355822234725,
        240.79820004460998,
        243.2703684749217,
        245.91719576241206,
        248.71444872525728,
        251.63689601474488,
        254.65868081092572,
        257.75368756475876,
        260.895891932895,
        264.05968396095557,
        267.2201558271501,
        270.3533470132285,
        273.43644156433743,
        276.44791406242035,
        279.3676229910362,
        282.1768522311419,
        284.8583034154413,
        287.39604370659805,
        289.77541518223006,
        291.98291334939915,
        294.00604332793677,
        295.8331629051825,
        297.45332195848164,
        298.8561076649054,
        300.0315044820428,
        300.96977711285354,
        301.66138359568714,
        302.0969243297552,
        302.2671313059556,
        302.1629001174455,
        301.7753655324342,
        301.0960195847878,
        300.1168693390452,
        298.83062977865296,
        297.2309457110265,
        295.3126352388476,
        293.0719462661201,
        290.50681673482484,
        287.61712885723574,
        284.40494754187785,
        280.8747335143738,
        277.03352229915333,
        272.89106122943986,
        268.45989795075013,
        263.7554154236259,
        258.7958101500455,
        253.6020121730575,
        248.19754725602525,
        242.6083434625666,
        236.8624860625913,
        230.98992622364085,
        225.02215026191226,
        218.99181728806025,
        212.93237386737326,
        206.8776548127707,
        200.86147944509975,
        194.91725259992998,
        189.0775793527851,
        183.37390189906728,
        177.8361662870438,
        172.49252578949853,
        167.36908663861954,
        162.48970066603215,
        157.8758081112519,
        153.54633251346746,
        149.51762821069286,
        145.80347956620483,
        142.41514965678795,
        139.36147482547818,
        136.6490002607115,
        134.28215065280096,
        132.26342903625124,
        130.59363618875653,
        129.27210245634203,
        128.29692363284448,
        127.66519255566297,
        127.37321839151087,
        127.4167261674952,
        127.79102993359804,
        128.49117399134275,
        129.51203784947762,
        130.84840192411139,
        132.49497243662807,
        134.4463654265147,
        136.69705123736665,
        139.24126220709726,
        142.07286755673067,
        145.18522059235954,
        148.57098428426696,
        152.22194204514227,
        156.12880108082092,
        160.28099602203235,
        164.6665006587072,
        169.27165548747138,
        174.08101844953762,
        179.07724568521527,
        184.24100837175533,
        189.5509507569948,
        194.98369337167426,
        200.51388412437439,
        206.11429858768818,
        211.75598931265637,
        217.4084825073449,
        223.04001893654004,
        228.61783449805057,
        234.10847466249737,
        239.47813588046319,
        244.6930262102114,
        249.71973683776983,
        254.5256158740736,
        259.0791358313851,
        263.35024649857684,
        267.31070553168627,
        270.93437991841313,
        274.1975125170027,
        277.07894905717086,
        279.56032226469233,
        281.62619107274617,
        283.2641341562316,
        284.46479822044626,
        285.22190255299347,
        285.5322022775168,
        285.39541351242167,
        284.814104229788,
        283.7935550324064,
        282.34159433150325,
        280.4684125313992,
        278.18635983105884,
        275.50973215852224,
        272.4545495841763,
        269.0383313324343,
        265.27987124443536,
        261.1990172496021,
        256.81645808922866,
        252.1535202056965,
        247.2319773686442,
        242.0738752542035,
        236.70137282521117,
        231.13660197838948,
        225.40154652989395,
        219.51794120549852,
        213.50719089059294,
        207.39030998421703,
        201.18788129864245,
        194.9200335607051,
        188.60643621291314,
        182.26630989119454,
        175.91845068101873,
        169.58126603253396,
        163.27282005471008,
        157.0108858127991,
        150.81300222539085,
        144.69653319774397,
        138.67872673551574,
        132.77677195473996,
        127.00785213469946,
        121.38919224391043,
        115.9380996970103,
        110.67199746177572,
        105.60844901837214,
        100.76517506323346,
        96.160062231913,
        91.81116447160937,
        87.73669800721902,
        83.95503109675418,
        80.4846699462918,
        77.34424223690067,
        74.55247969543528,
        72.12820101173011,
        70.0902961662317,
        68.45771289084601,
        67.24944555476445,
        66.48452626601896,
        66.18201743421834,
        66.36100448099141,
        67.04058684597634,
        68.23986495346433,
        69.97792041333403,
        72.27378646284954,
        75.14640554282359,
        78.61457096614737,
        82.69684989627392,
        87.41148531679403,
        92.7762753413318,
        98.80842907598438,
        105.52439928475604,
        112.93969329090596,
        121.06866483166397,
        129.92429091703139,
        139.51793906125093,
        149.85913148510429,
        160.95531394882158,
        172.81163768707017,
        185.43076339915336,
        198.8126963279335,
        212.95466108350342,
        227.851023998201,
        243.49326943202286,
        259.87003460859125,
        276.9672053141277,
        294.7680722314923,
        313.253544935897,
        332.4024177977445,
        352.1916793835651,
        372.5968545796131,
        393.5923667331848,
        415.1519057360675,
        437.2487872506083,
        459.85628824541766,
        482.9479446656018,
        506.4977983687646,
        530.4805823337949,
        554.8718354878158,
        579.6479411731531,
        604.7860861602427,
        630.2641400763035,
        656.0604580472346,
        682.1536121405315,
        708.5220597679378,
        735.1437594926222,
        761.9957466370635,
        789.0536826646841,
        816.2913934788082,
        843.6804125172479,
        871.1895447921821,
        898.7844678071772,
        926.4273845526594,
        954.0767425238972,
        981.6870309196354,
        1009.2086658850799,
        1036.5879709058765,
        1063.7672563187489,
        1090.6849984925316,
        1117.2761156961024,
        1143.4723341808417,
        1169.202634755406,
        1194.3937673140654,
        1218.9708185773582,
        1242.8578168677031,
        1265.9783571756295,
        1288.2562301219593,
        1309.6160396647197,
        1329.9837964493292,
        1349.2874764038638,
        1367.4575373372372,
        1384.427389669189,
        1400.133820757742,
        1414.5173753461897,
        1427.5226972085911,
        1439.0988389510608,
        1449.1995480000085,
        1457.7835370122016,
        1464.8147462708503,
        1470.2626041433873,
        1474.1022894809917,
        1476.3149970941506,
        1476.8882043368644,
        1475.8159335931077,
        1473.0990023159156,
        1468.7452494556514,
        1462.7697248514955,
        1455.1948266465645,
        1446.0503711817842,
        1435.373580237612,
        1423.2089719764558,
        1409.60814447552,
        1394.6294442438639,
        1378.337516430588,
        1360.8027383352264,
        1342.1005430553512,
        1322.310645347497,
        1301.5161867192837,
        1279.802821108463,
        1257.2577659663657,
        1233.968845931583,
        1210.0235574053795,
        1185.5081821538383,
        1160.5069765735582,
        1135.1014605556836,
        1109.3698261201014,
        1083.3864813720206,
        1057.2217400943982,
        1030.9416616847784,
        1004.6080404267159,
        978.2785374922114,
        952.0069438173281,
        925.8435572635541,
        899.8356534254871,
        874.0280261928349,
        848.4635718124234,
        823.1838887877354,
        798.2298655345749,
        773.6422282922126,
        749.4620233505307,
        725.7310101470732,
        702.4919451322356,
        679.7887403809693,
        657.6664855963152,
        636.171327224267,
        615.3502036764486,
        595.2504409188474,
        575.9192177105326,
        557.4029143594962,
        539.7463628234526,
        522.9920191844001,
        507.1790818800149,
        492.34258055281146,
        478.5124610061048,
        465.7126916106954,
        453.96041570377184,
        443.26517320012437,
        433.62821294047643,
        425.0419153649681,
        417.4893430261244,
        410.9439343103761,
        405.3693535381265,
        400.7195083313762,
        396.93874270486833,
        393.9622116531006,
        391.71643996145775,
        390.12006446416933,
        389.08475493682135,
        388.5163042320117,
        388.3158732006183,
        388.3813705291715,
        388.60894209196084,
        388.89453906987075,
        389.1355292890553,
        389.23231237268635,
        389.08989675986027,
        388.61939575601536,
        387.73940077501027,
        386.3771929203465,
        384.4697589876652,
        381.9645846488442,
        378.8202056484294,
        375.00650683571547,
        370.50476822300107,
        365.30746643009746,
        359.417848303371,
        352.8493007172161,
        345.6245462271799,
        337.77469813547526,
        329.33821058797696,
        320.35975962226496,
        310.88908982051845,
        300.9798586683189,
        290.6885072099843,
        280.07318146858734,
        269.192724694705,
        258.1057561108323,
        246.86984765931697,
        235.54080650408588,
        224.17206777349327,
        212.8141992930128,
        201.51451781575923,
        190.31681444827916,
        179.26118549401988,
        168.38396369198824,
        157.71774371183758,
        147.29149469466384,
        137.13075154484142,
        127.25787555839565,
        117.69237383109997,
        108.45126576904558,
        99.54948399724641,
        91.0002961133536,
        82.8157331517512,
        75.00701038560466,
        67.58492625561435,
        60.56022579969785,
        53.943915958803345,
        47.7475215104956,
        41.983272068129594,
        36.664212498311954,
        31.804231168700134,
        27.4180025658382,
        23.52084296109809,
        20.12847991887188,
        17.256738528140243,
        14.921149313687494,
        13.136484879182031,
        11.916234489281562,
        11.272028041147866,
        11.213023213770295,
        11.745271986738178,
        12.871085111770391,
        14.58841537091945,
        16.890282382625273,
        19.764263093758128,
        23.192072667750335,
        27.149259988301665,
        31.60504021706397,
        36.52228361068368,
        41.857675058630804,
        47.56205262333528,
        53.58092597576157,
        59.85516740460149,
        66.3218595533092,
        72.91527581814522,
        79.56796206995722,
        86.2118826547926,
        92.77958998769458,
        99.20537581340507,
        105.42636348497193,
        111.38350429368725,
        117.02244664051585,
        122.29425416362272,
        127.15595720814663,
        131.57093058121214,
        135.50909874686695,
        138.94697694407958,
        141.86756275460326,
        144.2600971625995,
        146.11971705003106,
        147.4470224182715,
        148.24758158718873,
        148.53139644504088,
        148.3123477929285,
        147.6076382409888,
        146.4372472451762,
        144.82340996091747,
        142.79012882138892,
        140.36272425829625,
        137.56742885381414,
        134.4310274778199,
        130.9805446182808,
        127.24297911621326,
        123.24508580903458,
        119.01320309358907,
        114.57312506412862,
        109.9500165870175,
        105.16836937915625,
        100.25199681354448,
        95.22406475457716,
        90.10715521896925,
        84.92335907566967,
        79.69439336472936,
        74.44173816586397,
        69.18678732166603,
        63.95100675648069,
        58.75609366278815,
        53.62412947778786,
        48.57771936062048,
        43.640110816041826,
        38.835284200056066,
        34.1880080950171,
        29.72385296734042,
        25.46915713946492,
        21.450939945402233,
        17.696758029184913,
        14.234502123167358,
        11.092133339171198,
        8.297360038056183,
        5.877258707164247,
        3.8578449324651487,
        2.2636034234368925,
        1.1169890075289852,
        0.4379133838348869,
        0.2432349975356084,
        0.5462714254951784,
        1.356354900176239,
        2.6784518157788124,
        4.512866080681219,
        6.855043909321903,
        9.695494096920871,
        13.01983312581642,
        16.808958868589805,
        21.039350542467513,
        25.68348636770278,
        30.710364555581233,
        36.08610824428242,
        41.774631187363816,
        47.73833864265124,
        53.938837133574836,
        60.33762753906075,
        66.89675815597673,
        73.57941770522466,
        80.35045238398773,
        87.17679563857588,
        94.0278039922859,
        100.87549670257094,
        107.69470099963206,
        114.46310801076712,
        121.16124711513694,
        127.7723883858685,
        134.28238399951326,
        140.67946010406402,
        146.95397073464517,
        153.09812505509774,
        159.1056985828683,
        164.97173820925408,
        170.6922698250986,
        176.26401625458442,
        181.68413202319329,
        186.94996026695026,
        192.0588158518185,
        197.00779753763078,
        201.7936308194209,
        206.4125419449434,
        210.86016258218632,
        215.13146373887835,
        219.220716859957,
        223.12147958432405,
        226.82660345089437,
        230.32826091061753,
        233.61798930969988,
        236.68675002227513,
        239.5250015721869,
        242.1227863213407,
        244.46983103506506,
        246.55566227754426,
        248.36973806001973,
        249.9015973865405,
        251.14102925558674,
        252.0782622382679,
        252.7041749448117,
        253.01052651690483,
        252.99020478026554,
        252.6374879286715,
        251.94831369030547,
        250.92054798598085,
        249.55424329117088,
        247.8518754438328,
        245.8185466877306,
        243.46214248264113,
        240.79343018973827,
        237.8260892356977,
        234.57666477695017,
        231.06444013846354,
        227.31122720664587,
        223.34107824448017,
        219.17992693783307,
        214.85517051518818,
        210.3952081627603,
        205.82895339149434,
        201.1853393017183,
        196.49283574964488,
        191.77899628406013,
        187.07005054114046,
        182.39055479859437,
        177.7631098904139,
        173.20815197951444,
        168.74381806707734,
        164.38588482522167,
        160.1477765473803,
        156.0406358172955,
        152.07344893081466,
        148.25321713150657,
        144.58516426597186,
        141.07297142517885,
        137.71902940550933,
        134.52470029586144,
        131.4905800928727,
        128.616754908554,
        125.90304403465089,
        123.34922386207452,
        120.95522743676906,
        118.72131528924949,
        116.64821412622771,
        114.7372210288574,
        112.99027195187672,
        111.4099745239307,
        109.99960634857248,
        108.76308111525026,
        107.70488575817788,
        106.82999256222854,
        106.14375044259756,
        105.65175958578182,
        105.35973324104538,
        105.2733497450234,
        105.39809693729993,
        105.73911010128347,
        106.30100357938102,
        107.08769540497678,
        108.10222379861351,
        109.34655430606097,
        110.82137679994796,
        112.52589258094811,
        114.45759341806107,
        116.61203653530855,
        118.98262220577072,
        121.56038361164535,
        124.33380175477753,
        127.2886611581974,
        130.40796450822884,
        133.6719258063293,
        137.05806155978232,
        140.54139760016648,
        144.09480494964907,
        147.68947163333303,
        151.29550863236292,
        154.8826778168031,
        158.42121858792018,
        161.88273930065813,
        165.24113069460313,
        168.47345285092928,
        171.5607456358223,
        174.4887156952514,
        177.24826068259773,
        179.8358027058174,
        182.25341659212705,
        184.50875277925707,
        186.61476771647966,
        188.58928511845926,
        190.45441826281422,
        192.23588635071704,
        193.9622569369429,
        195.66414224299123,
        197.37337078227728,
        199.12214829412622,
        200.94221465891314,
        202.86399731338074,
        204.91575761601462,
        207.12272536513703,
        209.50621879293317,
        212.08275317128522,
        214.86315070588452,
        217.8516772998701,
        221.04524712427713,
        224.43275212494382,
        227.99458821287206,
        231.7024597722555,
        235.51954567352215,
        239.40109974854454,
        243.2955342751504,
        247.14599613037444,
        250.89239460834463,
        254.47378352330534,
        257.8309470242732,
        260.9089986870336,
        263.6597859735936,
        266.0439024885765,
        268.0321486073438,
        269.60634115726015,
        270.75944450490465,
        271.4950662788991,
        271.8264197446046,
        271.77489379295946,
        271.3683876435607,
        270.6395623249557,
        269.62413974381127,
        268.3593492110613,
        266.8825870813827,
        265.23032284628476,
        263.43725796887884,
        261.53572353400267,
        259.5552895387157,
        257.52255153162486,
        255.4610580004146,
        253.39134295396119,
        251.33103120630483,
        249.2949878231912,
        247.29548716011394,
        245.3423802222749,
        243.44324113839565,
        241.60347375993015,
        239.82635694690333,
        238.11300059787897,
        236.4621713845791,
        234.86992256222646,
        233.3289163044726,
        231.8272391036174,
        230.34633517243674,
        228.85731165913566,
        227.3140281220723,
        225.63930200531496,
        223.6948193526423,
        221.20704860156007,
        217.55048836161333,
        210.9197663951565,
        193.2060280342224,
        670.1926409490519
      ],
      "counting_noise_perturbation_10_90percent_km": [
        5.9020428254984,
        5.929283771532185
      ],
      "perturbation_trials": 256,
      "seed": 1111,
      "reduced_chi_squared": 112.94057302693497,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    },
    {
      "radius_window_km": [
        125510,
        125590
      ],
      "points": 40,
      "minimum_searched_wavelength_km": 4.0,
      "dominant_spatial_wavelength_km": 4.006237122013699,
      "frequency_grid_cycles_per_km": [
        0.016666666666666666,
        0.016861273283291633,
        0.017055879899916596,
        0.017250486516541562,
        0.017445093133166528,
        0.01763969974979149,
        0.017834306366416457,
        0.018028912983041424,
        0.01822351959966639,
        0.018418126216291353,
        0.01861273283291632,
        0.018807339449541285,
        0.01900194606616625,
        0.019196552682791215,
        0.01939115929941618,
        0.019585765916041144,
        0.01978037253266611,
        0.019974979149291076,
        0.020169585765916043,
        0.020364192382541006,
        0.020558798999165972,
        0.020753405615790935,
        0.0209480122324159,
        0.021142618849040867,
        0.021337225465665834,
        0.0215318320822908,
        0.021726438698915763,
        0.02192104531554073,
        0.022115651932165692,
        0.022310258548790658,
        0.022504865165415625,
        0.02269947178204059,
        0.022894078398665554,
        0.02308868501529052,
        0.023283291631915486,
        0.02347789824854045,
        0.023672504865165415,
        0.023867111481790382,
        0.024061718098415348,
        0.02425632471504031,
        0.024450931331665277,
        0.02464553794829024,
        0.024840144564915206,
        0.025034751181540173,
        0.02522935779816514,
        0.025423964414790105,
        0.025618571031415068,
        0.02581317764804003,
        0.026007784264664997,
        0.026202390881289964,
        0.02639699749791493,
        0.026591604114539896,
        0.02678621073116486,
        0.026980817347789825,
        0.027175423964414788,
        0.027370030581039755,
        0.02756463719766472,
        0.027759243814289687,
        0.027953850430914653,
        0.028148457047539616,
        0.02834306366416458,
        0.028537670280789545,
        0.028732276897414512,
        0.028926883514039478,
        0.029121490130664444,
        0.029316096747289407,
        0.029510703363914374,
        0.029705309980539336,
        0.029899916597164303,
        0.03009452321378927,
        0.030289129830414235,
        0.0304837364470392,
        0.030678343063664164,
        0.03087294968028913,
        0.031067556296914094,
        0.03126216291353906,
        0.031456769530164026,
        0.03165137614678899,
        0.03184598276341395,
        0.032040589380038925,
        0.032235195996663885,
        0.03242980261328885,
        0.03262440922991382,
        0.032819015846538784,
        0.03301362246316375,
        0.03320822907978871,
        0.03340283569641368,
        0.03359744231303864,
        0.03379204892966361,
        0.033986655546288574,
        0.03418126216291354,
        0.03437586877953851,
        0.034570475396163466,
        0.03476508201278844,
        0.0349596886294134,
        0.035154295246038365,
        0.03534890186266333,
        0.03554350847928829,
        0.035738115095913264,
        0.035932721712538224,
        0.0361273283291632,
        0.036321934945788156,
        0.03651654156241312,
        0.03671114817903809,
        0.03690575479566305,
        0.03710036141228802,
        0.03729496802891298,
        0.03748957464553795,
        0.037684181262162914,
        0.03787878787878788,
        0.038073394495412846,
        0.038268001112037806,
        0.03846260772866278,
        0.03865721434528774,
        0.038851820961912704,
        0.03904642757853767,
        0.03924103419516264,
        0.0394356408117876,
        0.03963024742841256,
        0.039824854045037536,
        0.040019460661662495,
        0.04021406727828746,
        0.04040867389491243,
        0.040603280511537394,
        0.04079788712816236,
        0.04099249374478732,
        0.04118710036141229,
        0.04138170697803725,
        0.04157631359466222,
        0.041770920211287185,
        0.041965526827912145,
        0.04216013344453712,
        0.04235474006116208,
        0.042549346677787044,
        0.04274395329441201,
        0.042938559911036976,
        0.04313316652766194,
        0.0433277731442869,
        0.043522379760911875,
        0.043716986377536834,
        0.0439115929941618,
        0.04410619961078677,
        0.04430080622741173,
        0.0444954128440367,
        0.04469001946066166,
        0.04488462607728663,
        0.04507923269391159,
        0.04527383931053656,
        0.045468445927161524,
        0.04566305254378649,
        0.04585765916041146,
        0.046052265777036416,
        0.04624687239366139,
        0.04644147901028635,
        0.046636085626911315,
        0.04683069224353628,
        0.04702529886016124,
        0.047219905476786214,
        0.047414512093411174,
        0.04760911871003615,
        0.047803725326661106,
        0.047998331943286066,
        0.04819293855991104,
        0.048387545176536,
        0.04858215179316097,
        0.04877675840978593,
        0.048971365026410904,
        0.04916597164303586,
        0.04936057825966082,
        0.049555184876285796,
        0.049749791492910755,
        0.04994439810953573,
        0.05013900472616069,
        0.05033361134278566,
        0.05052821795941062,
        0.05072282457603558,
        0.05091743119266055,
        0.05111203780928551,
        0.051306644425910486,
        0.051501251042535445,
        0.05169585765916042,
        0.05189046427578538,
        0.05208507089241034,
        0.05227967750903531,
        0.05247428412566027,
        0.05266889074228524,
        0.0528634973589102,
        0.053058103975535176,
        0.053252710592160135,
        0.053447317208785095,
        0.05364192382541007,
        0.05383653044203503,
        0.05403113705866,
        0.05422574367528496,
        0.05442035029190992,
        0.05461495690853489,
        0.05480956352515985,
        0.055004170141784825,
        0.055198776758409784,
        0.05539338337503476,
        0.05558798999165972,
        0.055782596608284676,
        0.05597720322490965,
        0.05617180984153461,
        0.05636641645815958,
        0.05656102307478454,
        0.056755629691409515,
        0.056950236308034474,
        0.057144842924659434,
        0.05733944954128441,
        0.057534056157909366,
        0.05772866277453434,
        0.0579232693911593,
        0.05811787600778427,
        0.05831248262440923,
        0.05850708924103419,
        0.058701695857659164,
        0.05889630247428412,
        0.0590909090909091,
        0.059285515707534056,
        0.059480122324159015,
        0.05967472894078399,
        0.05986933555740895,
        0.06006394217403392,
        0.06025854879065888,
        0.060453155407283854,
        0.06064776202390881,
        0.06084236864053377,
        0.061036975257158746,
        0.061231581873783705,
        0.06142618849040868,
        0.06162079510703364,
        0.06181540172365861,
        0.06201000834028357,
        0.06220461495690853,
        0.0623992215735335,
        0.06259382819015846,
        0.06278843480678344,
        0.0629830414234084,
        0.06317764804003337,
        0.06337225465665833,
        0.06356686127328329,
        0.06376146788990826,
        0.06395607450653322,
        0.06415068112315819,
        0.06434528773978315,
        0.06453989435640813,
        0.06473450097303309,
        0.06492910758965804,
        0.06512371420628302,
        0.06531832082290798,
        0.06551292743953295,
        0.06570753405615791,
        0.06590214067278287,
        0.06609674728940784,
        0.0662913539060328,
        0.06648596052265777,
        0.06668056713928273,
        0.06687517375590771,
        0.06706978037253267,
        0.06726438698915763,
        0.0674589936057826,
        0.06765360022240756,
        0.06784820683903253,
        0.06804281345565749,
        0.06823742007228246,
        0.06843202668890742,
        0.06862663330553238,
        0.06882123992215736,
        0.06901584653878232,
        0.06921045315540729,
        0.06940505977203225,
        0.06959966638865722,
        0.06979427300528218,
        0.06998887962190714,
        0.07018348623853211,
        0.07037809285515707,
        0.07057269947178205,
        0.070767306088407,
        0.07096191270503197,
        0.07115651932165694,
        0.0713511259382819,
        0.07154573255490687,
        0.07174033917153183,
        0.0719349457881568,
        0.07212955240478176,
        0.07232415902140672,
        0.0725187656380317,
        0.07271337225465666,
        0.07290797887128163,
        0.07310258548790659,
        0.07329719210453156,
        0.07349179872115652,
        0.07368640533778148,
        0.07388101195440645,
        0.07407561857103141,
        0.07427022518765639,
        0.07446483180428135,
        0.07465943842090632,
        0.07485404503753128,
        0.07504865165415624,
        0.07524325827078121,
        0.07543786488740617,
        0.07563247150403114,
        0.0758270781206561,
        0.07602168473728108,
        0.07621629135390603,
        0.076410897970531,
        0.07660550458715597,
        0.07680011120378093,
        0.0769947178204059,
        0.07718932443703086,
        0.07738393105365582,
        0.07757853767028079,
        0.07777314428690575,
        0.07796775090353072,
        0.07816235752015568,
        0.07835696413678066,
        0.07855157075340562,
        0.07874617737003058,
        0.07894078398665555,
        0.07913539060328051,
        0.07932999721990547,
        0.07952460383653044,
        0.0797192104531554,
        0.07991381706978037,
        0.08010842368640533,
        0.0803030303030303,
        0.08049763691965527,
        0.08069224353628023,
        0.0808868501529052,
        0.08108145676953016,
        0.08127606338615513,
        0.08147067000278009,
        0.08166527661940506,
        0.08185988323603002,
        0.08205448985265498,
        0.08224909646927996,
        0.08244370308590492,
        0.08263830970252989,
        0.08283291631915485,
        0.08302752293577982,
        0.08322212955240478,
        0.08341673616902974,
        0.08361134278565471,
        0.08380594940227967,
        0.08400055601890465,
        0.0841951626355296,
        0.08438976925215456,
        0.08458437586877954,
        0.0847789824854045,
        0.08497358910202947,
        0.08516819571865443,
        0.0853628023352794,
        0.08555740895190436,
        0.08575201556852932,
        0.0859466221851543,
        0.08614122880177925,
        0.08633583541840423,
        0.08653044203502919,
        0.08672504865165416,
        0.08691965526827912,
        0.08711426188490408,
        0.08730886850152905,
        0.08750347511815401,
        0.08769808173477898,
        0.08789268835140394,
        0.08808729496802892,
        0.08828190158465388,
        0.08847650820127884,
        0.08867111481790381,
        0.08886572143452877,
        0.08906032805115374,
        0.0892549346677787,
        0.08944954128440367,
        0.08964414790102863,
        0.0898387545176536,
        0.09003336113427857,
        0.09022796775090353,
        0.0904225743675285,
        0.09061718098415346,
        0.09081178760077842,
        0.09100639421740339,
        0.09120100083402835,
        0.09139560745065332,
        0.09159021406727828,
        0.09178482068390326,
        0.09197942730052822,
        0.09217403391715318,
        0.09236864053377815,
        0.09256324715040311,
        0.09275785376702808,
        0.09295246038365304,
        0.09314706700027801,
        0.09334167361690297,
        0.09353628023352793,
        0.0937308868501529,
        0.09392549346677787,
        0.09412010008340284,
        0.0943147067000278,
        0.09450931331665277,
        0.09470391993327773,
        0.09489852654990269,
        0.09509313316652766,
        0.09528773978315262,
        0.0954823463997776,
        0.09567695301640256,
        0.09587155963302751,
        0.09606616624965249,
        0.09626077286627745,
        0.09645537948290242,
        0.09664998609952738,
        0.09684459271615235,
        0.09703919933277731,
        0.09723380594940227,
        0.09742841256602724,
        0.0976230191826522,
        0.09781762579927718,
        0.09801223241590214,
        0.09820683903252711,
        0.09840144564915207,
        0.09859605226577703,
        0.098790658882402,
        0.09898526549902696,
        0.09917987211565193,
        0.0993744787322769,
        0.09956908534890187,
        0.09976369196552683,
        0.09995829858215179,
        0.10015290519877676,
        0.10034751181540172,
        0.10054211843202669,
        0.10073672504865165,
        0.10093133166527662,
        0.10112593828190158,
        0.10132054489852654,
        0.10151515151515152,
        0.10170975813177648,
        0.10190436474840145,
        0.10209897136502641,
        0.10229357798165137,
        0.10248818459827634,
        0.1026827912149013,
        0.10287739783152627,
        0.10307200444815123,
        0.1032666110647762,
        0.10346121768140117,
        0.10365582429802613,
        0.1038504309146511,
        0.10404503753127606,
        0.10423964414790103,
        0.10443425076452599,
        0.10462885738115096,
        0.10482346399777592,
        0.10501807061440088,
        0.10521267723102586,
        0.10540728384765082,
        0.10560189046427579,
        0.10579649708090075,
        0.10599110369752572,
        0.10618571031415068,
        0.10638031693077564,
        0.10657492354740061,
        0.10676953016402557,
        0.10696413678065055,
        0.1071587433972755,
        0.10735335001390048,
        0.10754795663052544,
        0.1077425632471504,
        0.10793716986377537,
        0.10813177648040033,
        0.1083263830970253,
        0.10852098971365026,
        0.10871559633027522,
        0.1089102029469002,
        0.10910480956352515,
        0.10929941618015013,
        0.10949402279677509,
        0.10968862941340006,
        0.10988323603002502,
        0.11007784264664998,
        0.11027244926327495,
        0.11046705587989991,
        0.11066166249652488,
        0.11085626911314984,
        0.11105087572977482,
        0.11124548234639978,
        0.11144008896302474,
        0.11163469557964971,
        0.11182930219627467,
        0.11202390881289964,
        0.1122185154295246,
        0.11241312204614957,
        0.11260772866277453,
        0.1128023352793995,
        0.11299694189602447,
        0.11319154851264943,
        0.1133861551292744,
        0.11358076174589936,
        0.11377536836252432,
        0.11396997497914929,
        0.11416458159577425,
        0.11435918821239922,
        0.11455379482902418,
        0.11474840144564916,
        0.11494300806227412,
        0.11513761467889908,
        0.11533222129552405,
        0.11552682791214901,
        0.11572143452877398,
        0.11591604114539894,
        0.11611064776202391,
        0.11630525437864887,
        0.11649986099527383,
        0.1166944676118988,
        0.11688907422852376,
        0.11708368084514874,
        0.1172782874617737,
        0.11747289407839867,
        0.11766750069502363,
        0.11786210731164859,
        0.11805671392827356,
        0.11825132054489852,
        0.1184459271615235,
        0.11864053377814845,
        0.11883514039477343,
        0.11902974701139839,
        0.11922435362802335,
        0.11941896024464832,
        0.11961356686127328,
        0.11980817347789825,
        0.12000278009452321,
        0.12019738671114817,
        0.12039199332777314,
        0.1205865999443981,
        0.12078120656102308,
        0.12097581317764804,
        0.12117041979427301,
        0.12136502641089797,
        0.12155963302752293,
        0.1217542396441479,
        0.12194884626077286,
        0.12214345287739783,
        0.1223380594940228,
        0.12253266611064777,
        0.12272727272727273,
        0.12292187934389769,
        0.12311648596052266,
        0.12331109257714762,
        0.12350569919377259,
        0.12370030581039755,
        0.12389491242702252,
        0.12408951904364748,
        0.12428412566027244,
        0.12447873227689742,
        0.12467333889352238,
        0.12486794551014735,
        0.1250625521267723,
        0.12525715874339727,
        0.12545176536002225,
        0.12564637197664721,
        0.12584097859327217,
        0.12603558520989713,
        0.12623019182652212,
        0.12642479844314708,
        0.12661940505977204,
        0.126814011676397,
        0.12700861829302196,
        0.12720322490964694,
        0.1273978315262719,
        0.12759243814289686,
        0.12778704475952182,
        0.12798165137614678,
        0.12817625799277177,
        0.12837086460939673,
        0.1285654712260217,
        0.12876007784264665,
        0.12895468445927163,
        0.1291492910758966,
        0.12934389769252155,
        0.1295385043091465,
        0.12973311092577147,
        0.12992771754239646,
        0.13012232415902142,
        0.13031693077564638,
        0.13051153739227134,
        0.1307061440088963,
        0.13090075062552128,
        0.13109535724214624,
        0.1312899638587712,
        0.13148457047539616,
        0.13167917709202112,
        0.1318737837086461,
        0.13206839032527107,
        0.13226299694189603,
        0.132457603558521,
        0.13265221017514597,
        0.13284681679177093,
        0.1330414234083959,
        0.13323603002502085,
        0.1334306366416458,
        0.1336252432582708,
        0.13381984987489576,
        0.13401445649152072,
        0.13420906310814568,
        0.13440366972477064,
        0.13459827634139562,
        0.13479288295802058,
        0.13498748957464554,
        0.1351820961912705,
        0.1353767028078955,
        0.13557130942452045,
        0.1357659160411454,
        0.13596052265777037,
        0.13615512927439533,
        0.1363497358910203,
        0.13654434250764527,
        0.13673894912427023,
        0.1369335557408952,
        0.13712816235752015,
        0.13732276897414514,
        0.1375173755907701,
        0.13771198220739506,
        0.13790658882402002,
        0.13810119544064497,
        0.13829580205726996,
        0.13849040867389492,
        0.13868501529051988,
        0.13887962190714484,
        0.13907422852376983,
        0.1392688351403948,
        0.13946344175701975,
        0.1396580483736447,
        0.13985265499026966,
        0.14004726160689465,
        0.1402418682235196,
        0.14043647484014457,
        0.14063108145676953,
        0.1408256880733945,
        0.14102029469001948,
        0.14121490130664444,
        0.1414095079232694,
        0.14160411453989435,
        0.14179872115651931,
        0.14199332777314427,
        0.14218793438976926,
        0.14238254100639422,
        0.14257714762301918,
        0.14277175423964414,
        0.14296636085626913,
        0.14316096747289409,
        0.14335557408951904,
        0.143550180706144,
        0.14374478732276896,
        0.14393939393939395,
        0.1441340005560189,
        0.14432860717264387,
        0.14452321378926883,
        0.1447178204058938,
        0.14491242702251877,
        0.14510703363914373,
        0.1453016402557687,
        0.14549624687239365,
        0.1456908534890186,
        0.1458854601056436,
        0.14608006672226856,
        0.14627467333889352,
        0.14646927995551848,
        0.14666388657214346,
        0.14685849318876842,
        0.14705309980539338,
        0.14724770642201834,
        0.1474423130386433,
        0.1476369196552683,
        0.14783152627189325,
        0.1480261328885182,
        0.14822073950514317,
        0.14841534612176813,
        0.14860995273839311,
        0.14880455935501807,
        0.14899916597164303,
        0.149193772588268,
        0.14938837920489298,
        0.14958298582151794,
        0.1497775924381429,
        0.14997219905476786,
        0.15016680567139282,
        0.1503614122880178,
        0.15055601890464276,
        0.15075062552126772,
        0.15094523213789268,
        0.15113983875451764,
        0.15133444537114263,
        0.1515290519877676,
        0.15172365860439255,
        0.1519182652210175,
        0.15211287183764247,
        0.15230747845426745,
        0.1525020850708924,
        0.15269669168751737,
        0.15289129830414233,
        0.15308590492076732,
        0.15328051153739228,
        0.15347511815401724,
        0.1536697247706422,
        0.15386433138726716,
        0.15405893800389214,
        0.1542535446205171,
        0.15444815123714206,
        0.15464275785376702,
        0.15483736447039198,
        0.15503197108701697,
        0.15522657770364193,
        0.1554211843202669,
        0.15561579093689185,
        0.15581039755351683,
        0.1560050041701418,
        0.15619961078676675,
        0.1563942174033917,
        0.15658882402001667,
        0.15678343063664166,
        0.15697803725326662,
        0.15717264386989158,
        0.15736725048651654,
        0.1575618571031415,
        0.15775646371976648,
        0.15795107033639144,
        0.1581456769530164,
        0.15834028356964136,
        0.15853489018626632,
        0.1587294968028913,
        0.15892410341951627,
        0.15911871003614123,
        0.15931331665276618,
        0.15950792326939117,
        0.15970252988601613,
        0.1598971365026411,
        0.16009174311926605,
        0.160286349735891,
        0.160480956352516,
        0.16067556296914096,
        0.16087016958576592,
        0.16106477620239087,
        0.16125938281901583,
        0.16145398943564082,
        0.16164859605226578,
        0.16184320266889074,
        0.1620378092855157,
        0.1622324159021407,
        0.16242702251876565,
        0.1626216291353906,
        0.16281623575201556,
        0.16301084236864052,
        0.1632054489852655,
        0.16340005560189047,
        0.16359466221851543,
        0.1637892688351404,
        0.16398387545176535,
        0.16417848206839034,
        0.1643730886850153,
        0.16456769530164025,
        0.1647623019182652,
        0.16495690853489017,
        0.16515151515151516,
        0.16534612176814012,
        0.16554072838476508,
        0.16573533500139004,
        0.16592994161801503,
        0.16612454823463998,
        0.16631915485126494,
        0.1665137614678899,
        0.16670836808451486,
        0.16690297470113985,
        0.1670975813177648,
        0.16729218793438977,
        0.16748679455101473,
        0.1676814011676397,
        0.16787600778426467,
        0.16807061440088963,
        0.1682652210175146,
        0.16845982763413955,
        0.16865443425076454,
        0.1688490408673895,
        0.16904364748401446,
        0.16923825410063942,
        0.16943286071726438,
        0.16962746733388936,
        0.16982207395051432,
        0.17001668056713928,
        0.17021128718376424,
        0.1704058938003892,
        0.1706005004170142,
        0.17079510703363915,
        0.1709897136502641,
        0.17118432026688907,
        0.17137892688351403,
        0.171573533500139,
        0.17176814011676397,
        0.17196274673338893,
        0.1721573533500139,
        0.17235195996663888,
        0.17254656658326384,
        0.1727411731998888,
        0.17293577981651376,
        0.17313038643313872,
        0.1733249930497637,
        0.17351959966638866,
        0.17371420628301362,
        0.17390881289963858,
        0.17410341951626354,
        0.17429802613288853,
        0.1744926327495135,
        0.17468723936613845,
        0.1748818459827634,
        0.17507645259938837,
        0.17527105921601335,
        0.1754656658326383,
        0.17566027244926327,
        0.17585487906588823,
        0.17604948568251322,
        0.17624409229913818,
        0.17643869891576314,
        0.1766333055323881,
        0.17682791214901306,
        0.17702251876563804,
        0.177217125382263,
        0.17741173199888796,
        0.17760633861551292,
        0.17780094523213788,
        0.17799555184876287,
        0.17819015846538783,
        0.1783847650820128,
        0.17857937169863775,
        0.17877397831526273,
        0.1789685849318877,
        0.17916319154851265,
        0.1793577981651376,
        0.17955240478176257,
        0.17974701139838756,
        0.17994161801501252,
        0.18013622463163748,
        0.18033083124826244,
        0.1805254378648874,
        0.18072004448151238,
        0.18091465109813734,
        0.1811092577147623,
        0.18130386433138726,
        0.18149847094801222,
        0.1816930775646372,
        0.18188768418126217,
        0.18208229079788713,
        0.18227689741451208,
        0.18247150403113707,
        0.18266611064776203,
        0.182860717264387,
        0.18305532388101195,
        0.1832499304976369,
        0.1834445371142619,
        0.18363914373088686,
        0.18383375034751182,
        0.18402835696413677,
        0.18422296358076173,
        0.18441757019738672,
        0.18461217681401168,
        0.18480678343063664,
        0.1850013900472616,
        0.1851959966638866,
        0.18539060328051155,
        0.1855852098971365,
        0.18577981651376146,
        0.18597442313038642,
        0.1861690297470114,
        0.18636363636363637,
        0.18655824298026133,
        0.1867528495968863,
        0.18694745621351125,
        0.18714206283013624,
        0.1873366694467612,
        0.18753127606338615,
        0.1877258826800111,
        0.18792048929663607,
        0.18811509591326106,
        0.18830970252988602,
        0.18850430914651098,
        0.18869891576313594,
        0.18889352237976093,
        0.18908812899638588,
        0.18928273561301084,
        0.1894773422296358,
        0.18967194884626076,
        0.18986655546288575,
        0.1900611620795107,
        0.19025576869613567,
        0.19045037531276063,
        0.1906449819293856,
        0.19083958854601057,
        0.19103419516263553,
        0.1912288017792605,
        0.19142340839588545,
        0.19161801501251044,
        0.1918126216291354,
        0.19200722824576036,
        0.19220183486238532,
        0.19239644147901028,
        0.19259104809563526,
        0.19278565471226022,
        0.19298026132888518,
        0.19317486794551014,
        0.1933694745621351,
        0.1935640811787601,
        0.19375868779538505,
        0.19395329441201,
        0.19414790102863497,
        0.19434250764525993,
        0.1945371142618849,
        0.19473172087850987,
        0.19492632749513483,
        0.1951209341117598,
        0.19531554072838478,
        0.19551014734500974,
        0.1957047539616347,
        0.19589936057825966,
        0.19609396719488462,
        0.1962885738115096,
        0.19648318042813456,
        0.19667778704475952,
        0.19687239366138448,
        0.19706700027800944,
        0.19726160689463443,
        0.1974562135112594,
        0.19765082012788435,
        0.1978454267445093,
        0.1980400333611343,
        0.19823463997775925,
        0.1984292465943842,
        0.19862385321100917,
        0.19881845982763413,
        0.19901306644425912,
        0.19920767306088408,
        0.19940227967750904,
        0.199596886294134,
        0.19979149291075896,
        0.19998609952738394,
        0.2001807061440089,
        0.20037531276063386,
        0.20056991937725882,
        0.20076452599388378,
        0.20095913261050877,
        0.20115373922713373,
        0.20134834584375869,
        0.20154295246038365,
        0.20173755907700863,
        0.2019321656936336,
        0.20212677231025855,
        0.2023213789268835,
        0.20251598554350847,
        0.20271059216013346,
        0.20290519877675842,
        0.20309980539338338,
        0.20329441201000834,
        0.2034890186266333,
        0.20368362524325828,
        0.20387823185988324,
        0.2040728384765082,
        0.20426744509313316,
        0.20446205170975812,
        0.2046566583263831,
        0.20485126494300807,
        0.20504587155963303,
        0.20524047817625798,
        0.20543508479288297,
        0.20562969140950793,
        0.2058242980261329,
        0.20601890464275785,
        0.2062135112593828,
        0.2064081178760078,
        0.20660272449263276,
        0.20679733110925771,
        0.20699193772588267,
        0.20718654434250763,
        0.20738115095913262,
        0.20757575757575758,
        0.20777036419238254,
        0.2079649708090075,
        0.20815957742563249,
        0.20835418404225745,
        0.2085487906588824,
        0.20874339727550736,
        0.20893800389213232,
        0.2091326105087573,
        0.20932721712538227,
        0.20952182374200723,
        0.2097164303586322,
        0.20991103697525715,
        0.21010564359188214,
        0.2103002502085071,
        0.21049485682513205,
        0.210689463441757,
        0.21088407005838197,
        0.21107867667500696,
        0.21127328329163192,
        0.21146788990825688,
        0.21166249652488184,
        0.21185710314150683,
        0.21205170975813178,
        0.21224631637475674,
        0.2124409229913817,
        0.21263552960800666,
        0.21283013622463165,
        0.2130247428412566,
        0.21321934945788157,
        0.21341395607450653,
        0.2136085626911315,
        0.21380316930775647,
        0.21399777592438143,
        0.2141923825410064,
        0.21438698915763135,
        0.21458159577425634,
        0.2147762023908813,
        0.21497080900750626,
        0.21516541562413122,
        0.21536002224075618,
        0.21555462885738116,
        0.21574923547400612,
        0.21594384209063108,
        0.21613844870725604,
        0.216333055323881,
        0.216527661940506,
        0.21672226855713095,
        0.2169168751737559,
        0.21711148179038087,
        0.21730608840700583,
        0.2175006950236308,
        0.21769530164025577,
        0.21788990825688073,
        0.2180845148735057,
        0.21827912149013068,
        0.21847372810675564,
        0.2186683347233806,
        0.21886294134000556,
        0.21905754795663052,
        0.2192521545732555,
        0.21944676118988046,
        0.21964136780650542,
        0.21983597442313038,
        0.22003058103975534,
        0.22022518765638033,
        0.2204197942730053,
        0.22061440088963025,
        0.2208090075062552,
        0.2210036141228802,
        0.22119822073950515,
        0.2213928273561301,
        0.22158743397275507,
        0.22178204058938003,
        0.22197664720600502,
        0.22217125382262998,
        0.22236586043925494,
        0.2225604670558799,
        0.22275507367250486,
        0.22294968028912984,
        0.2231442869057548,
        0.22333889352237976,
        0.22353350013900472,
        0.22372810675562968,
        0.22392271337225467,
        0.22411731998887963,
        0.22431192660550459,
        0.22450653322212955,
        0.22470113983875453,
        0.2248957464553795,
        0.22509035307200445,
        0.2252849596886294,
        0.22547956630525437,
        0.22567417292187936,
        0.22586877953850432,
        0.22606338615512928,
        0.22625799277175423,
        0.2264525993883792,
        0.22664720600500418,
        0.22684181262162914,
        0.2270364192382541,
        0.22723102585487906,
        0.22742563247150405,
        0.227620239088129,
        0.22781484570475397,
        0.22800945232137892,
        0.22820405893800388,
        0.22839866555462887,
        0.22859327217125383,
        0.2287878787878788,
        0.22898248540450375,
        0.2291770920211287,
        0.2293716986377537,
        0.22956630525437866,
        0.22976091187100361,
        0.22995551848762857,
        0.23015012510425353,
        0.23034473172087852,
        0.23053933833750348,
        0.23073394495412844,
        0.2309285515707534,
        0.23112315818737839,
        0.23131776480400335,
        0.2315123714206283,
        0.23170697803725326,
        0.23190158465387822,
        0.2320961912705032,
        0.23229079788712817,
        0.23248540450375313,
        0.2326800111203781,
        0.23287461773700305,
        0.23306922435362804,
        0.233263830970253,
        0.23345843758687795,
        0.2336530442035029,
        0.23384765082012787,
        0.23404225743675286,
        0.23423686405337782,
        0.23443147067000278,
        0.23462607728662774,
        0.23482068390325272,
        0.23501529051987768,
        0.23520989713650264,
        0.2354045037531276,
        0.23559911036975256,
        0.23579371698637755,
        0.2359883236030025,
        0.23618293021962747,
        0.23637753683625243,
        0.2365721434528774,
        0.23676675006950237,
        0.23696135668612733,
        0.2371559633027523,
        0.23735056991937725,
        0.23754517653600224,
        0.2377397831526272,
        0.23793438976925216,
        0.23812899638587712,
        0.23832360300250208,
        0.23851820961912706,
        0.23871281623575202,
        0.23890742285237698,
        0.23910202946900194,
        0.2392966360856269,
        0.2394912427022519,
        0.23968584931887685,
        0.2398804559355018,
        0.24007506255212677,
        0.24026966916875173,
        0.2404642757853767,
        0.24065888240200167,
        0.24085348901862663,
        0.2410480956352516,
        0.24124270225187658,
        0.24143730886850154,
        0.2416319154851265,
        0.24182652210175146,
        0.24202112871837642,
        0.2422157353350014,
        0.24241034195162636,
        0.24260494856825132,
        0.24279955518487628,
        0.24299416180150124,
        0.24318876841812623,
        0.2433833750347512,
        0.24357798165137615,
        0.2437725882680011,
        0.2439671948846261,
        0.24416180150125105,
        0.244356408117876,
        0.24455101473450097,
        0.24474562135112593,
        0.24494022796775092,
        0.24513483458437588,
        0.24532944120100084,
        0.2455240478176258,
        0.24571865443425076,
        0.24591326105087574,
        0.2461078676675007,
        0.24630247428412566,
        0.24649708090075062,
        0.24669168751737558,
        0.24688629413400057,
        0.24708090075062553,
        0.24727550736725049,
        0.24747011398387544,
        0.24766472060050043,
        0.2478593272171254,
        0.24805393383375035,
        0.2482485404503753,
        0.24844314706700027,
        0.24863775368362526,
        0.24883236030025022,
        0.24902696691687518,
        0.24922157353350013,
        0.2494161801501251,
        0.24961078676675008,
        0.24980539338337504,
        0.25
      ],
      "fit_improvement": [
        20.05189230118419,
        20.136296620561836,
        20.219876242554164,
        20.302427546411156,
        20.383730381173443,
        20.463547061802714,
        20.541621355964963,
        20.617677473430486,
        20.69141907295706,
        20.76252830476505,
        20.830664910457017,
        20.895465406384588,
        20.956542381051626,
        21.01348394215518,
        21.065853354175193,
        21.113188912997956,
        21.155004109673193,
        21.190788140866957,
        21.22000682859336,
        21.242104015955746,
        21.25650350848928,
        21.262611631617748,
        21.259820473112928,
        21.247511874455544,
        21.22506222588851,
        21.191848105856202,
        21.14725278572927,
        21.090673594569967,
        21.021530105918398,
        20.939273069213698,
        20.843393963191467,
        20.733434998772598,
        20.608999346811064,
        20.46976131480627,
        20.315476150347877,
        20.145989112697464,
        19.96124343289854,
        19.76128678286492,
        19.546275900101865,
        19.31647907102246,
        19.072276264174292,
        18.814156824252766,
        18.54271478445894,
        18.258642020836188,
        17.962719646617966,
        17.655808213485464,
        17.33883743455669,
        17.012796255396836,
        16.67872416054381,
        16.337704603450685,
        15.990861381597007,
        15.639358645499279,
        15.284405035970378,
        14.927262198849249,
        14.569257645436927,
        14.211801627557573,
        13.85640739726134,
        13.504713941160622,
        13.158510035254999,
        12.819758272635363,
        12.490617585752641,
        12.17346272613601,
        11.870899183706202,
        11.585772128114785,
        11.321168135344049,
        11.08040871984005,
        10.867035017030227,
        10.684783339874706,
        10.537551747957691,
        10.429358195957086,
        10.364291244201185,
        10.3464546896819,
        10.379907784232353,
        10.468602923572888,
        10.616322798416796,
        10.826618986720744,
        11.102753833973946,
        11.447647225742372,
        11.863829522490452,
        12.353401527526419,
        12.918001926161956,
        13.558782200969702,
        14.276388625960907,
        15.070950598901897,
        15.942074306713137,
        16.888840547261573,
        17.909805457353258,
        19.003002919651255,
        20.16594753286671,
        21.395637217767455,
        22.688554781316398,
        24.040668056288634,
        25.447428557407264,
        26.903768931386217,
        28.40409981205564,
        29.942307008727276,
        31.51175024253635,
        33.10526488848198,
        34.71516836725872,
        36.33327294773721,
        37.9509067554847,
        39.55894472313501,
        41.14785105479934,
        42.70773450210078,
        44.228417361686404,
        45.69951860733016,
        47.11055097599326,
        48.4510311574064,
        49.71060152111344,
        50.87916109241804,
        51.94700280520271,
        52.90495346492414,
        53.74451239898323,
        54.45798449881395,
        55.038603303335705,
        55.48063995709468,
        55.77949430083512,
        55.9317650000296,
        55.93529645137535,
        55.789201175305976,
        55.49385743899845,
        55.050882888459874,
        54.4630859303538,
        53.734397432403796,
        52.8697859569276,
        51.87516017390527,
        50.757262305516726,
        49.52355643934591,
        48.18211533476073,
        46.74150897130488,
        45.21069759228698,
        43.59893142770676,
        41.91565868387255,
        40.170442803879126,
        38.37288946773642,
        36.53258333904895,
        34.65903419313713,
        32.76163178673518,
        30.84960865109333,
        28.932009900776112,
        27.017669136683743,
        25.115189567275976,
        23.23292955815634,
        21.378991928390928,
        19.561216424646346,
        17.787174906298116,
        16.06416885431042,
        14.399228865954935,
        12.799115812609994,
        11.270323319146584,
        9.81908117465192,
        8.451359212232548,
        7.172871109269029,
        5.989077468886464,
        4.905187459019079,
        3.926158217360848,
        3.0566911877488296,
        2.3012245437615557,
        1.6639208844907405,
        1.1486494597493648,
        0.7589622998523154,
        0.49806378923501193,
        0.3687734325904249,
        0.3734818141708871,
        0.5141000409030508,
        0.7920032814793666,
        1.2079693578990462,
        1.7621137019261046,
        2.4538223429727566,
        3.281684929880794,
        4.243430088656222,
        5.335865661475098,
        6.554826538671803,
        7.895132865016005,
        9.350561356771092,
        10.913832293301404,
        12.576614438819437,
        14.329549706412653,
        16.162298806856818,
        18.06360844760376,
        20.021399890770038,
        22.022877879171407,
        24.054658138692147,
        26.102910908835327,
        28.153517285943682,
        30.192234625825325,
        32.20486687699818,
        34.177435524443595,
        36.096346825871564,
        37.948551214031696,
        39.721691102771736,
        41.40423384383527,
        42.98558720020112,
        44.45619538996978,
        45.807614471301505,
        47.03256654500037,
        48.12497291354856,
        49.079966927422625,
        49.893887753342334,
        50.56425670499228,
        51.089738082710404,
        51.47008667899982,
        51.70608423049962,
        51.79946714614368,
        51.752847828621796,
        51.56963184450383,
        51.25393309860815,
        50.81048903913761,
        50.24457776818983,
        49.561938761320924,
        48.76869871193641,
        47.87130381202152,
        46.87645956011464,
        45.791078950616466,
        44.62223964634045,
        43.377150470542766,
        42.063127278867185,
        40.687577990259996,
        39.257996274796824,
        37.78196312207099,
        36.267155253459016,
        34.72135910221762,
        33.1524888738184,
        31.56860702133892,
        29.9779453325395,
        28.38892473113095,
        26.810171848608597,
        25.250530428120875,
        23.71906568098521,
        22.225059831832247,
        20.777997261750027,
        19.387537891231407,
        18.063477736254136,
        16.81569592008403,
        15.65408782704763,
        14.588484536743916,
        13.628559169045428,
        12.783721289438457,
        12.063001054744019,
        11.474925301544394,
        11.027388271115754,
        10.72752010066075,
        10.581556565619582,
        10.594713807159987,
        10.771071900661005,
        11.113471097919478,
        11.623424397235294,
        12.30104975888287,
        13.145024795155523,
        14.152566139881568,
        15.319434966512135,
        16.639969308490393,
        18.10714297792822,
        19.712650018878453,
        21.447012809938418,
        23.299711185104663,
        25.259329304002843,
        27.313716497906366,
        29.45015796300126,
        31.6555509748008,
        33.91658225668159,
        36.2199022426419,
        38.55229221510157,
        40.90082065390472,
        43.25298558126139,
        45.59684020693975,
        47.92109974685452,
        50.21522788616252,
        52.46950196696502,
        54.67505658491901,
        56.823905864790284,
        58.90894524032179,
        60.9239340781632,
        62.86346094945181,
        64.72289375706207,
        66.49831726330443,
        68.18646082459821,
        69.78461931998105,
        71.29057035457879,
        72.70249082464879,
        74.0188758474211,
        75.23846288935941,
        76.3601636763566,
        77.38300614722583,
        78.30608832868725,
        79.12854557871077,
        79.84953217974035,
        80.46821777844292,
        80.98379867843747,
        81.3955235101804,
        81.7027323395928,
        81.90490784424449,
        82.00173679132405,
        81.99317970212553,
        81.87954628902469,
        81.6615740078522,
        81.34050688577369,
        80.9181716669343,
        80.39704827010769,
        79.78033157962238,
        79.07198169813734,
        78.27675998223893,
        77.4002484629781,
        76.44885062504673,
        75.42977197900366,
        74.3509794055964,
        73.22113886997367,
        72.04953178141247,
        70.84595099086107,
        69.62057814902388,
        68.38384486277731,
        67.14628075583467,
        65.91835212838089,
        64.7102953889478,
        63.5319497727825,
        62.39259404275859,
        61.30079187741892,
        60.264250480670064,
        59.28969660296032,
        58.38277365760999,
        57.54796296975434,
        56.78853143730603,
        56.10650704639065,
        55.5026828034218,
        54.97664875819607,
        54.52685093120496,
        54.150675154484844,
        53.84455311483084,
        53.60408727184814,
        53.42419082645716,
        53.299238548159245,
        53.223224037023364,
        53.18991890033761,
        53.19302936219489,
        53.22634599221973,
        53.28388253008246,
        53.36000018604267,
        53.44951430304796,
        53.54778085903155,
        53.65076095267517,
        53.75506213316566,
        53.85795618298342,
        53.95737371902767,
        54.05187671642941,
        54.140610755669115,
        54.2232394222794,
        54.299863826427625,
        54.37093063752049,
        54.437132331457875,
        54.49930351565237,
        54.55831722583362,
        54.61498498154157,
        54.66996415255508,
        54.72367583990098,
        54.776236030201815,
        54.8274022614223,
        54.87653746333104,
        54.92259202922546,
        54.96410455743854,
        54.99922109086979,
        55.02573209669572,
        55.041125880322134,
        55.0426566287427,
        55.027424837692124,
        54.992467501470855,
        54.93485513999619,
        54.85179250958401,
        54.740719696993395,
        54.59941023480424,
        54.42606290449547,
        54.21938401514668,
        53.97865716291301,
        53.70379778976735,
        53.39539026725323,
        53.05470572650704,
        52.683699429804506,
        52.28498711718133,
        51.861800445558345,
        51.41792234447735,
        50.957603815873455,
        50.485464377090615,
        50.00637895780054,
        49.52535458501052,
        49.047400601293866,
        48.57739643977913,
        48.11996111122201,
        47.67932853670797,
        47.25923268453054,
        46.86280614935232,
        46.49249536028926,
        46.149995042237926,
        45.83620390591888,
        45.55120283391777,
        45.29425609066482,
        45.06383534173885,
        44.857665548468184,
        44.67279113125782,
        44.50566019004267,
        44.352224049763215,
        44.20804897614576,
        44.06843659213296,
        43.92854932440385,
        43.78353712559685,
        43.628661751226936,
        43.459415017862455,
        43.27162772515819,
        43.0615662801293,
        42.8260145060819,
        42.56233863659408,
        42.26853407004646,
        41.94325307327801,
        41.585813253204925,
        41.19618724080014,
        40.77497463062406,
        40.32335776984989,
        39.84304347387243,
        39.33619314431351,
        38.805344066259394,
        38.253324855759054,
        37.68316811146891,
        37.09802329599395,
        36.501072737609036,
        35.89545341045056,
        35.284186833112926,
        34.67011903684001,
        34.05587211184443,
        33.44380836146634,
        32.83600759677615,
        32.23425760623042,
        31.640057352476244,
        31.054631996257832,
        30.478958438842056,
        29.913799720823988,
        29.359746326017017,
        28.817262221985988,
        28.28673332916877,
        27.768516052180786,
        27.26298353140981,
        26.770567379970107,
        26.291792857834537,
        25.827305696533042,
        25.37788911679663,
        24.944469968141604,
        24.52811335139309,
        24.130005548239794,
        23.751425559892112,
        23.39370603234529,
        23.05818480049071,
        22.746148699353085,
        22.458771650964515,
        22.197049324475923,
        21.96173287228668,
        21.75326435671961,
        21.571716494320597,
        21.41673925660072,
        21.287515679513398,
        21.182728955881146,
        21.100542525809455,
        21.03859445356054,
        20.994006901790154,
        20.963411003653622,
        20.94298690936762,
        20.928518265924588,
        20.915459895850546,
        20.899016991054822,
        20.87423374697337,
        20.836089044089384,
        20.7795965494404,
        20.699906467748022,
        20.592406124873285,
        20.452816616445027,
        20.27728289938262,
        20.06245493783042,
        19.80555782877672,
        19.50444921450012,
        19.15766272462886,
        18.764436663752626,
        18.324727653573333,
        17.83920943325561,
        17.309257499710277,
        16.736920713610814,
        16.124881391025106,
        15.476405730797058,
        14.795286683040267,
        14.085781536051417,
        13.352546582760606,
        12.600571221904245,
        11.835113755258831,
        11.061640965413568,
        10.28577330647713,
        9.513237223037622,
        8.749825742896116,
        8.001368080360724,
        7.273708554099141,
        6.572694682138398,
        5.904173882182317,
        5.273997793273352,
        4.688032859618666,
        4.15217549269854,
        3.672369865790362,
        3.254626206238714,
        2.9050373435906724,
        2.629791252130614,
        2.4351773977659046,
        2.3275848620566566,
        2.313490467757501,
        2.3994354645535902,
        2.5919897414519073,
        2.8977030010350515,
        3.3230428450477287,
        3.874320262558151,
        4.557603561217277,
        5.378622317667989,
        6.3426634232493955,
        7.454461744624638,
        8.718088286192692,
        10.136839014899579,
        11.71312767453351,
        13.448385966051687,
        15.342974397903486,
        17.396106915727138,
        19.60579210931556,
        21.968793376436018,
        24.480609912566635,
        27.135479811206512,
        29.926405922616766,
        32.845204452908206,
        35.882575614709395,
        39.028194989268826,
        42.27082365077096,
        45.59843455775842,
        48.99835225174798,
        52.457402534104084,
        55.96206852950994,
        59.49864939471606,
        63.053417897174796,
        66.61277316831826,
        70.16338512576316,
        73.69232734926206,
        77.18719557604177,
        80.63620943883917,
        84.02829558966029,
        87.35315091772299,
        90.6012851641708,
        93.76404284163596,
        96.83360496612957,
        99.80297168517335,
        102.66592742330025,
        105.41699064890138,
        108.05135078120848,
        110.56479509094147,
        112.95362869294563,
        115.21459087656002,
        117.34477106466454,
        119.34152763370591,
        121.20241266595424,
        122.9251054465692,
        124.50735716998781,
        125.94694889389757,
        127.24166428883123,
        128.38927819376892,
        129.38756142128904,
        130.23430167912528,
        130.9273399079579,
        131.4646207967731,
        131.84425574454633,
        132.06459610569595,
        132.12431419908765,
        132.02248928591752,
        131.7586955364341,
        131.33308891204905,
        130.7464898875345,
        130.00045902458479,
        129.09736257768168,
        128.04042555891792,
        126.83377000177117,
        125.48243653592883,
        123.99238780661678,
        122.3704927330785,
        120.62449109222871,
        118.76293842554074,
        116.795131789833,
        114.73101739553495,
        112.5810816879991,
        110.35622791638221,
        108.06764068759477,
        105.7266414057329,
        103.34453783593223,
        100.93247129117967,
        98.50126510772888,
        96.06127813747675,
        93.62226693499059,
        91.1932601476075,
        88.78244832882098,
        86.39709199310809,
        84.04345022525803,
        81.72673156581551,
        79.451068237975,
        77.21951408607767,
        75.03406589006835,
        72.89570703337262,
        70.80447186213392,
        68.75952850760778,
        66.7592774723686,
        64.80146292115472,
        62.88329337857251,
        61.001568421970774,
        59.15280796561353,
        57.33338085320476,
        55.53962969651946,
        53.76798920155872,
        52.01509559142549,
        50.27788514721311,
        48.55368032544749,
        46.840262354946766,
        45.13592965160774,
        43.43954180323044,
        41.75054925743442,
        40.06900918603161,
        38.395588293438934,
        36.731553581385675,
        35.07875227575714,
        33.43958226365451,
        31.816954480521233,
        30.214248730218273,
        28.635264417585184,
        27.08416762641152,
        25.565435889415735,
        24.083801875283946,
        22.644197066001226,
        21.251696321671307,
        19.911464036376607,
        18.628702384924892,
        17.408601954608695,
        16.256294856842548,
        15.176810229316231,
        14.175031878316911,
        13.255657680807444,
        12.42316027311059,
        11.681748502778563,
        11.035329115625101,
        10.487468192210503,
        10.04135193631562,
        9.699746548826225,
        9.464957088505006,
        9.338785418725319,
        9.32248755692511,
        9.416730970303458,
        9.621552585016545,
        9.936318484107815,
        10.359686448877204,
        10.889572637175633,
        11.523123779339251,
        12.256696299178355,
        13.085843727325038,
        14.005313664152963,
        15.009055369977073,
        16.09023881575301,
        17.241285726494507,
        18.45391280430062,
        19.71918694368849,
        21.027591866792434,
        22.369105229245626,
        23.73328489881201,
        25.10936280658504,
        26.486344531014236,
        27.853112610894836,
        29.198531503122737,
        30.51155210792914,
        31.78131387677972,
        32.99724268950975,
        34.14914292655071,
        35.22728245470186,
        36.222469573796864,
        37.126121318406646,
        37.93032285508245,
        38.62787804406769,
        39.21235152958572,
        39.678102971981225,
        40.020314228751545,
        40.23501042389473,
        40.31907591361436,
        40.270266162237746,
        40.08721648926792,
        39.76944854353251,
        39.31737521217902,
        38.73230449131219,
        38.01644264266605,
        37.17289674874576,
        36.20567656893421,
        35.1196954020343,
        33.92076948622595,
        32.61561532341009,
        31.21184420725019,
        29.71795316650114,
        28.14331150864416,
        26.498142162257217,
        24.793497066725998,
        23.04122593981151,
        21.25393786099571,
        19.44495523455804,
        17.62825983404459,
        15.818430772895784,
        14.030574389306853,
        12.280246173260918,
        10.583364998148763,
        8.95612004835992,
        7.414870958998996,
        5.976041806972453,
        4.656009717143084,
        3.470988975929742,
        2.4369116796786225,
        1.5693060867907367,
        0.8831739891649207,
        0.3928685656918249,
        0.11197432110042056,
        0.05319083760459693,
        0.2282221624247572,
        0.6476737078217112,
        1.3209585378189608,
        2.2562148442755077,
        3.4602362637339033,
        4.938416448707909,
        6.69470898115697,
        8.731603306489452,
        11.050116884997681,
        13.649803222609814,
        16.528774878919684,
        19.683739987444802,
        23.110050294013522,
        26.801758258107736,
        30.751680401391496,
        34.95146385601916,
        39.391652984696336,
        44.06175302889939,
        48.95028799563988,
        54.04485041155985,
        59.33214114096879,
        64.7979981583403,
        70.42741395484933,
        76.20454210650588,
        82.11269439861535,
        88.13433074592103,
        94.25104492877719,
        100.44354984313524,
        106.69166649948919,
        112.97432137078401,
        119.2695568544373,
        125.5545595583996,
        131.80571083205152,
        137.9986634349368,
        144.10844747455448,
        150.1096077642565,
        155.9763735805227,
        161.68286047444093,
        167.2033023650949,
        172.5123106734874,
        177.58515581295285,
        182.3980650091264,
        186.92852925358594,
        191.1556112699986,
        195.06024575079616,
        198.6255228524634,
        201.83694604668057,
        204.6826559195445,
        207.15361237622105,
        209.24372890570936,
        210.9499540323956,
        212.2722967548997,
        213.21379456534544,
        213.7804244669014,
        213.98095918013064,
        213.82677237319223,
        213.33159820412655,
        212.51125167796906,
        211.38331726708464,
        209.96681390680857,
        208.28184486211092,
        206.34924107878064,
        204.1902065076797,
        201.82597355079614,
        199.27747625309203,
        196.5650481831502,
        193.7081511341765,
        190.72513985743598,
        187.6330670311118,
        184.44753158541926,
        181.1825723646677,
        177.85060792544505,
        174.46242206612237,
        171.02719347988915,
        167.55256674973475,
        164.04476079201237,
        160.50870984207785,
        156.94823119915907,
        153.36621324510443,
        149.76481675632633,
        146.14568226586107,
        142.51013621961994,
        138.85938891205836,
        135.19471767398676,
        131.51762949887433,
        127.82999820257604,
        124.1341722750955,
        120.43305075605745,
        116.73012569954719,
        113.02949104124181,
        109.33581889646678,
        105.65430546283051,
        101.99058974242625,
        98.35064921031554,
        94.7406773186389,
        91.1669483252078,
        87.63567536233118,
        84.15286790924476,
        80.72419489535389,
        77.35485953849778,
        74.04949171083805,
        70.8120631250514,
        67.64582994855043,
        64.55330659136312,
        61.53627338800489,
        58.595819726794204,
        55.73242290167855,
        52.94606161067839,
        50.23636164865091,
        47.60276999358928,
        45.044752222489734,
        42.56200707244268,
        40.15469103910371,
        37.823645224723236,
        35.57061624700406,
        33.39846292040737,
        31.311340629959023,
        29.314855825908484,
        27.41618385342689,
        25.624144360871338,
        23.949229760483714,
        22.403583599355105,
        21.000927187238,
        19.756434374094738,
        18.6865559305873,
        17.808796520175694,
        17.141448727879823,
        16.70328999750103,
        16.513249597448137,
        16.59005385655633,
        16.951858854748068,
        17.615880485453882,
        18.59803229057383,
        19.91258166564353,
        21.571834904476194,
        23.585861064993257,
        25.96226376636949,
        28.706008761483762,
        31.819313476669222,
        35.3016027049325,
        39.14953233660803,
        43.357080495961675,
        47.915702829518935,
        52.81454608528017,
        58.040711664961606,
        63.579558657551445,
        69.41503409591888,
        75.53001692354113,
        81.90666149237764,
        88.52672637907034,
        95.37187491190831,
        102.42393501684198,
        109.66510775618175,
        117.07811616157738,
        124.64628854726116,
        132.3535733141408,
        140.18448520026197,
        148.12398588238668,
        156.1573046785455,
        164.2697077446551,
        172.44622651367433,
        180.6713581180028,
        188.92875209999556,
        197.20089879533802,
        205.46883532161922,
        213.71188508136865,
        221.90744606752844,
        230.03084202728164,
        238.05524870456367,
        245.95170497310303,
        253.6892157508525,
        261.23495024357305,
        268.554535423187,
        275.6124408559077,
        282.3724472289845,
        288.7981873676505,
        294.8537453687224,
        300.5042968728407,
        305.71677159169815,
        310.4605180972371,
        314.7079506127819,
        318.43515811316433,
        321.6224573807938,
        324.25487366851576,
        326.3225351446624,
        327.82097017577973,
        328.75129956815397,
        329.1203189804655,
        328.94046970022083,
        328.22969874230563,
        327.01121171369243,
        325.3131240668234,
        323.1680182430902,
        320.61241582112484,
        317.6861751828254,
        314.4318264484438,
        310.8938565584303,
        307.1179584253819,
        303.1502590494975,
        299.0365423617698,
        294.8214832765836,
        290.54790991947016,
        286.2561111482503,
        281.9832062020218,
        277.76259249504363,
        273.62348614602814,
        269.5905677583508,
        265.68374325018044,
        261.91802623618236,
        258.3035446984565,
        254.8456706163459,
        251.54526705191358,
        248.39904312969057,
        245.4000036259578,
        242.5379766959352,
        239.80020078143394,
        237.17195007166532,
        234.63717709278745,
        232.17915107559585,
        229.78107163971407,
        227.4266389376947,
        225.1005635946335,
        222.78900241481523,
        220.479908762888,
        218.1632896310125,
        215.83136456396207,
        213.47862474327022,
        211.10179356625184,
        208.69969295244897,
        206.2730223393841,
        203.82405986744328,
        201.3562975738691,
        198.87402448277126,
        196.3818732429194,
        193.88434736461062,
        191.38534706633985,
        188.88771218195188,
        186.3928004239366,
        183.90011849001516,
        181.40702200658282,
        178.90849813132596,
        176.39704184009221,
        173.8626335993965,
        171.29282241868958,
        168.6729143631938,
        165.98626268661013,
        163.214652014247,
        160.33876565655075,
        157.33872231432227,
        154.19466625812277,
        150.88739358128666,
        147.3989963405009,
        143.71350626333023,
        139.8175201344245,
        135.7007898634888,
        131.35676147385905,
        126.78304872390694,
        121.98182869921811,
        116.96014843655331,
        111.73013344019257,
        106.30909083960135,
        100.71950195306852,
        94.9889012189596,
        89.14964089001406,
        83.23854359724024,
        77.2964478890964,
        71.36765510558307,
        65.49928936967363,
        59.74058592860831,
        54.142126361504836,
        48.75504205571593,
        43.630209590845595,
        38.81746301217953,
        34.364848215708854,
        30.317943660379612,
        26.71926931272064,
        23.607802160529317,
        21.0186119585089,
        18.982625340311394,
        17.526520376688214,
        16.67274745418458,
        16.439666381440365,
        16.84178426590301,
        17.89007425332688,
        19.592351918843004,
        21.953684084258807,
        24.97680416189128,
        28.66250875685322,
        33.01001209425505,
        38.01723772222423,
        43.68103069208896,
        49.99727783584295,
        56.96092864838772,
        64.56591444368968,
        72.80496870124287,
        81.66935666795455,
        91.14852714529012,
        101.22970378263904,
        111.89743691980019,
        123.13313987696164,
        134.91463539023596,
        147.21573846894898,
        160.0059011859713,
        173.24994274902303,
        186.90788467108598,
        200.9349060950359,
        215.2814285719033,
        229.893333182685,
        244.71230624747056,
        259.6763034429589,
        274.7201164118028,
        289.77602130998605,
        304.77448552837694,
        319.644907245182,
        334.31636257711097,
        348.7183368124769,
        362.78141930909726,
        376.437945798721,
        389.6225766632523,
        402.27280481473747,
        414.32939171035537,
        425.73673440100697,
        436.44317005258915,
        446.4012268848177,
        455.5678318266351,
        463.90448536603833,
        471.3774131361738,
        477.95770186659655,
        483.62142464152737,
        488.34975720227857,
        492.1290836046095,
        494.9510862141508,
        496.8128121197004,
        497.7167058738356,
        497.6705972992756,
        496.6876331240974,
        494.7861425306778,
        491.9894293069577,
        488.325487032845,
        483.8266383528967,
        478.52910450663217,
        472.4725164641555,
        465.69938377384966,
        458.2545411208859,
        450.1845952441145,
        441.5373960034252,
        432.3615549094291,
        422.7060323493139,
        412.6198112289651,
        402.15167007068186,
        391.35006309519326,
        380.2631088410408,
        368.93868278879165,
        357.4246035808439,
        345.7688970264405,
        334.0201173696416,
        322.22770144331633,
        310.44232847296036,
        298.71625655440306,
        287.10360633227776,
        275.6605632778283,
        264.4454723262368,
        253.51880258259968,
        242.94296538118064,
        232.7819761283488,
        223.10095888204668,
        213.96550215685966,
        205.44088444867862,
        197.59119773111888,
        190.4784058501209,
        184.16138145251506,
        178.69496901193818,
        174.12912202506251,
        170.50815919725142,
        167.8701774440604,
        166.24664922879512,
        165.66221893419686,
        166.1346987123365,
        167.67524980994867,
        170.288721969724,
        173.97411226076466,
        178.7250964353398,
        184.5305811614749,
        191.37522442453107,
        199.23987391275332,
        208.10187896873006,
        217.93524023658276,
        228.71057195479796,
        240.39486444341864,
        252.95104826373034,
        266.3373763734763,
        280.50665593497314,
        295.40537675014826,
        310.9727979287311,
        327.1400674527967,
        343.82945963770254,
        360.95382173867114,
        378.4163216342414,
        396.11058223513305,
        413.92127397856217,
        431.72521409999086,
        449.3929909159862,
        466.7910948577391,
        483.7844984073058,
        500.23958833423194,
        516.0273201609135,
        531.0264409264826,
        545.1266155300457,
        558.2312961392629,
        570.2601933029123,
        581.1512394047237,
        590.8619760838334,
        599.37034223984,
        606.6748829367219,
        612.7944371150024,
        617.7673898569094,
        621.650590886542,
        624.5180444717182,
        626.4594677626758,
        627.5787967168174,
        627.9926935949597,
        627.8290803004736,
        627.2256903046067,
        626.3286012063065,
        625.2906827023128,
        624.2698735352209,
        623.4271886502478,
        622.9243573164106,
        622.9210073592745,
        623.5713424825094,
        625.020310309948,
        627.3993274428457,
        630.8217103939121,
        635.378049508896,
        641.1318444667669,
        648.1157790414786,
        656.3290332107551,
        665.7359991705672,
        676.2666784076724,
        687.8188944711727,
        700.26227716575,
        713.4437851532032,
        727.1943666281792,
        741.3362405145729,
        755.6902326887749,
        770.0826282738957,
        784.3510927116359,
        798.349350501818,
        811.9504651773854,
        825.0487121245345,
        837.5601579784421,
        849.4221456135714,
        860.5919297028278,
        871.0447185638035,
        880.7713616567238,
        889.7758881601044,
        898.0730594489357,
        905.686054187225,
        912.6443640650504,
        918.9819437956082,
        924.7356319675978,
        929.9438396491992,
        934.6454904613437,
        938.8791880411818,
        942.6825831948938,
        946.0919124908181,
        949.1416816695319,
        951.8644703944955,
        954.2908391622423,
        956.4493245823403,
        958.3665160952057,
        960.0672165445118,
        961.5747030466628,
        962.9111277461034,
        964.0981393179766,
        965.1578835863903,
        966.1146888188879,
        966.9979920372809,
        967.8471767278769,
        968.7153827726946,
        969.6126181409077,
        968.945682398345,
        463.323179384671
      ],
      "counting_noise_perturbation_10_90percent_km": [
        4.0031161315452675,
        4.0093629827788
      ],
      "perturbation_trials": 256,
      "seed": 1112,
      "reduced_chi_squared": 42.094029499009565,
      "scope": "Dominant local single-harmonic component plus quadratic baseline. Strong nonlinear crests, overlapping waves, calibration and finite-source/diffraction effects are not described by this fit. Perturbation interval is counting-noise sensitivity, not a physical-wave confidence interval or surface-density inference."
    }
  ],
  "peak_spacing": {
    "method": "three-bin boxcar, local maximum above0.85 normal depth, greedily retain highest peaks separated by>=7km, declared125295..125430km window",
    "crest_radius_km": [
      125304.0,
      125330.0,
      125346.0,
      125358.0,
      125378.0,
      125394.0,
      125407.0,
      125416.0,
      125425.0
    ],
    "consecutive_spacing_km": [
      26.0,
      16.0,
      12.0,
      20.0,
      16.0,
      13.0,
      9.0,
      9.0
    ],
    "scope": "Feature/threshold dependent descriptive spacing; one-km samples and three-km smoothing limit crest localization. A missed crest doubles a spacing. No claim that every crest belongs to one linear mode."
  },
  "failure_cases": [
    "Negative net signal is censored, never logged or clipped into an optical depth.",
    "Saturated or nonzero-flag bins require an explicit treatment; no fabricated replacement.",
    "The one-harmonic local fit has large reduced chi-squared: narrow counting-only intervals omit model error.",
    "A 1km radial grid cannot resolve structures near or below2km, and paired bins further suppress short structure.",
    "Fixed110\u2013190nm UV band is not a multi-color measurement; reported wavelength change is spatial.",
    "This profile alone does not determine surface mass density, viscosity or ring age."
  ]
}