{
  "classification": "constructed_public_mathematics",
  "runtime": {
    "python": "3.13.9",
    "numpy": "2.3.5",
    "scipy": "1.16.3",
    "matplotlib": "3.10.7"
  },
  "scope": "Invented constants and seeded draws. No market observations, private strategy inputs or investment-performance evidence.",
  "holm": {
    "labels": [
      "A",
      "B",
      "C",
      "D"
    ],
    "raw": [
      0.012,
      0.014,
      0.08,
      0.4
    ],
    "adjusted": [
      0.048,
      0.048,
      0.16,
      0.4
    ],
    "family_size": 4,
    "threshold": 0.05
  },
  "costs": {
    "capital": 100000,
    "basis_points_per_side": 5,
    "A": {
      "orders": 100,
      "notional_per_order": 1000,
      "gross_traded_notional": 100000,
      "direct_cost": 50.0
    },
    "B": {
      "orders": 20,
      "notional_per_order": 3000,
      "gross_traded_notional": 60000,
      "direct_cost": 30.0
    },
    "B_relative_to_A": [
      0.2,
      0.6,
      0.6
    ],
    "turnover": "sum of absolute buy and sell notionals; no halving"
  },
  "drawdown": {
    "labels": [
      "A start",
      "A observation 1",
      "A observation 2",
      "B start",
      "B observation 1",
      "B observation 2"
    ],
    "local_wealth": [
      1.0,
      1.1,
      1.04,
      1.0,
      0.98,
      0.95
    ],
    "linked_wealth": [
      1.0,
      1.1,
      1.04,
      1.04,
      1.0192,
      0.988
    ],
    "local_peak": [
      1.0,
      1.1,
      1.1,
      1.0,
      1.0,
      1.0
    ],
    "linked_peak": [
      1.0,
      1.1,
      1.1,
      1.1,
      1.1,
      1.1
    ],
    "local_drawdown": [
      0.0,
      0.0,
      0.054545454545454564,
      0.0,
      0.020000000000000018,
      0.050000000000000044
    ],
    "linked_drawdown": [
      0.0,
      0.0,
      0.054545454545454564,
      0.054545454545454564,
      0.07345454545454544,
      0.10181818181818192
    ]
  },
  "gbm": {
    "initial_price": 100.0,
    "physical_drift": 0.06,
    "volatility": 0.2,
    "horizon_years": 1.0,
    "steps": 252,
    "seed": 20260909,
    "path_count": 4,
    "time_years": [
      0.0,
      0.003968253968253968,
      0.007936507936507936,
      0.011904761904761904,
      0.015873015873015872,
      0.01984126984126984,
      0.023809523809523808,
      0.027777777777777776,
      0.031746031746031744,
      0.03571428571428571,
      0.03968253968253968,
      0.04365079365079365,
      0.047619047619047616,
      0.051587301587301584,
      0.05555555555555555,
      0.05952380952380952,
      0.06349206349206349,
      0.06746031746031746,
      0.07142857142857142,
      0.07539682539682539,
      0.07936507936507936,
      0.08333333333333333,
      0.0873015873015873,
      0.09126984126984126,
      0.09523809523809523,
      0.0992063492063492,
      0.10317460317460317,
      0.10714285714285714,
      0.1111111111111111,
      0.11507936507936507,
      0.11904761904761904,
      0.12301587301587301,
      0.12698412698412698,
      0.13095238095238093,
      0.1349206349206349,
      0.1388888888888889,
      0.14285714285714285,
      0.1468253968253968,
      0.15079365079365079,
      0.15476190476190477,
      0.15873015873015872,
      0.16269841269841268,
      0.16666666666666666,
      0.17063492063492064,
      0.1746031746031746,
      0.17857142857142855,
      0.18253968253968253,
      0.1865079365079365,
      0.19047619047619047,
      0.19444444444444442,
      0.1984126984126984,
      0.20238095238095238,
      0.20634920634920634,
      0.2103174603174603,
      0.21428571428571427,
      0.21825396825396826,
      0.2222222222222222,
      0.22619047619047616,
      0.23015873015873015,
      0.23412698412698413,
      0.23809523809523808,
      0.24206349206349204,
      0.24603174603174602,
      0.25,
      0.25396825396825395,
      0.2579365079365079,
      0.26190476190476186,
      0.26587301587301587,
      0.2698412698412698,
      0.2738095238095238,
      0.2777777777777778,
      0.28174603174603174,
      0.2857142857142857,
      0.28968253968253965,
      0.2936507936507936,
      0.2976190476190476,
      0.30158730158730157,
      0.3055555555555555,
      0.30952380952380953,
      0.3134920634920635,
      0.31746031746031744,
      0.3214285714285714,
      0.32539682539682535,
      0.32936507936507936,
      0.3333333333333333,
      0.33730158730158727,
      0.3412698412698413,
      0.34523809523809523,
      0.3492063492063492,
      0.35317460317460314,
      0.3571428571428571,
      0.3611111111111111,
      0.36507936507936506,
      0.369047619047619,
      0.373015873015873,
      0.376984126984127,
      0.38095238095238093,
      0.3849206349206349,
      0.38888888888888884,
      0.39285714285714285,
      0.3968253968253968,
      0.40079365079365076,
      0.40476190476190477,
      0.4087301587301587,
      0.4126984126984127,
      0.41666666666666663,
      0.4206349206349206,
      0.4246031746031746,
      0.42857142857142855,
      0.4325396825396825,
      0.4365079365079365,
      0.44047619047619047,
      0.4444444444444444,
      0.4484126984126984,
      0.45238095238095233,
      0.45634920634920634,
      0.4603174603174603,
      0.46428571428571425,
      0.46825396825396826,
      0.4722222222222222,
      0.47619047619047616,
      0.4801587301587301,
      0.4841269841269841,
      0.4880952380952381,
      0.49206349206349204,
      0.496031746031746,
      0.5,
      0.503968253968254,
      0.5079365079365079,
      0.5119047619047619,
      0.5158730158730158,
      0.5198412698412698,
      0.5238095238095237,
      0.5277777777777778,
      0.5317460317460317,
      0.5357142857142857,
      0.5396825396825397,
      0.5436507936507936,
      0.5476190476190476,
      0.5515873015873015,
      0.5555555555555556,
      0.5595238095238095,
      0.5634920634920635,
      0.5674603174603174,
      0.5714285714285714,
      0.5753968253968254,
      0.5793650793650793,
      0.5833333333333333,
      0.5873015873015872,
      0.5912698412698413,
      0.5952380952380952,
      0.5992063492063492,
      0.6031746031746031,
      0.6071428571428571,
      0.611111111111111,
      0.615079365079365,
      0.6190476190476191,
      0.623015873015873,
      0.626984126984127,
      0.6309523809523809,
      0.6349206349206349,
      0.6388888888888888,
      0.6428571428571428,
      0.6468253968253967,
      0.6507936507936507,
      0.6547619047619048,
      0.6587301587301587,
      0.6626984126984127,
      0.6666666666666666,
      0.6706349206349206,
      0.6746031746031745,
      0.6785714285714285,
      0.6825396825396826,
      0.6865079365079365,
      0.6904761904761905,
      0.6944444444444444,
      0.6984126984126984,
      0.7023809523809523,
      0.7063492063492063,
      0.7103174603174602,
      0.7142857142857142,
      0.7182539682539683,
      0.7222222222222222,
      0.7261904761904762,
      0.7301587301587301,
      0.7341269841269841,
      0.738095238095238,
      0.742063492063492,
      0.746031746031746,
      0.75,
      0.753968253968254,
      0.7579365079365079,
      0.7619047619047619,
      0.7658730158730158,
      0.7698412698412698,
      0.7738095238095237,
      0.7777777777777777,
      0.7817460317460317,
      0.7857142857142857,
      0.7896825396825397,
      0.7936507936507936,
      0.7976190476190476,
      0.8015873015873015,
      0.8055555555555555,
      0.8095238095238095,
      0.8134920634920635,
      0.8174603174603174,
      0.8214285714285714,
      0.8253968253968254,
      0.8293650793650793,
      0.8333333333333333,
      0.8373015873015872,
      0.8412698412698412,
      0.8452380952380952,
      0.8492063492063492,
      0.8531746031746031,
      0.8571428571428571,
      0.861111111111111,
      0.865079365079365,
      0.869047619047619,
      0.873015873015873,
      0.876984126984127,
      0.8809523809523809,
      0.8849206349206349,
      0.8888888888888888,
      0.8928571428571428,
      0.8968253968253967,
      0.9007936507936507,
      0.9047619047619047,
      0.9087301587301587,
      0.9126984126984127,
      0.9166666666666666,
      0.9206349206349206,
      0.9246031746031745,
      0.9285714285714285,
      0.9325396825396824,
      0.9365079365079365,
      0.9404761904761905,
      0.9444444444444444,
      0.9484126984126984,
      0.9523809523809523,
      0.9563492063492063,
      0.9603174603174602,
      0.9642857142857142,
      0.9682539682539681,
      0.9722222222222222,
      0.9761904761904762,
      0.9801587301587301,
      0.9841269841269841,
      0.988095238095238,
      0.992063492063492,
      0.9960317460317459,
      1.0
    ],
    "mean": [
      100.0,
      100.02381235850162,
      100.04763038728741,
      100.0714540877076,
      100.09528346111274,
      100.11911850885372,
      100.1429592322817,
      100.16680563274821,
      100.1906577116051,
      100.2145154702045,
      100.23837890989893,
      100.26224803204116,
      100.28612283798432,
      100.3100033290819,
      100.33388950668758,
      100.35778137215554,
      100.38167892684014,
      100.40558217209615,
      100.42949110927859,
      100.45340573974289,
      100.47732606484472,
      100.5012520859401,
      100.52518380438542,
      100.54912122153735,
      100.57306433875281,
      100.59701315738923,
      100.62096767880418,
      100.64492790435567,
      100.66889383540195,
      100.69286547330162,
      100.71684281941369,
      100.74082587509734,
      100.7648146417122,
      100.78880912061818,
      100.81280931317549,
      100.8368152207447,
      100.86082684468667,
      100.88484418636263,
      100.90886724713408,
      100.93289602836289,
      100.95693053141122,
      100.98097075764159,
      101.00501670841679,
      101.02906838510005,
      101.05312578905472,
      101.0771889216447,
      101.1012577842341,
      101.12533237818731,
      101.14941270486915,
      101.17349876564472,
      101.19759056187942,
      101.22168809493901,
      101.24579136618956,
      101.26990037699748,
      101.29401512872948,
      101.3181356227526,
      101.34226186043425,
      101.3663938431421,
      101.3905315722442,
      101.41467504910887,
      101.43882427510479,
      101.46297925160101,
      101.48713997996683,
      101.51130646157189,
      101.5354786977862,
      101.55965668998005,
      101.58384043952408,
      101.60802994778923,
      101.63222521614684,
      101.65642624596846,
      101.68063303862608,
      101.70484559549197,
      101.72906391793867,
      101.75328800733917,
      101.77751786506664,
      101.80175349249471,
      101.82599489099728,
      101.85024206194856,
      101.87449500672312,
      101.89875372669583,
      101.9230182232419,
      101.94728849773689,
      101.97156455155665,
      101.99584638607737,
      102.02013400267558,
      102.04442740272812,
      102.06872658761219,
      102.09303155870526,
      102.11734231738518,
      102.14165886503012,
      102.16598120301856,
      102.19030933272933,
      102.21464325554153,
      102.23898297283469,
      102.26332848598858,
      102.28767979638336,
      102.31203690539945,
      102.33639981441766,
      102.36076852481912,
      102.38514303798527,
      102.40952335529786,
      102.43390947813901,
      102.45830140789118,
      102.48269914593709,
      102.50710269365986,
      102.53151205244289,
      102.55592722366993,
      102.5803482087251,
      102.60477500899276,
      102.62920762585767,
      102.6536460607049,
      102.67809031491988,
      102.70254038988827,
      102.72699628699617,
      102.75145800762996,
      102.77592555317638,
      102.80039892502246,
      102.82487812455558,
      102.84936315316344,
      102.8738540122341,
      102.89835070315594,
      102.92285322731762,
      102.9473615861082,
      102.97187578091702,
      102.99639581313383,
      103.02092168414858,
      103.0454533953517,
      103.0699909481338,
      103.09453434388595,
      103.11908358399948,
      103.14363866986609,
      103.16819960287778,
      103.19276638442687,
      103.21733901590606,
      103.24191749870837,
      103.2665018342271,
      103.29109202385594,
      103.31568806898889,
      103.3402899710203,
      103.36489773134478,
      103.38951135135741,
      103.41413083245345,
      103.43875617602862,
      103.46338738347886,
      103.48802445620053,
      103.51266739559028,
      103.53731620304512,
      103.56197087996233,
      103.5866314277396,
      103.61129784777492,
      103.63597014146661,
      103.66064831021333,
      103.68533235541403,
      103.7100222784681,
      103.73471808077517,
      103.7594197637352,
      103.78412732874853,
      103.80884077721583,
      103.83356011053806,
      103.85828533011659,
      103.88301643735302,
      103.90775343364938,
      103.93249632040798,
      103.95724509903145,
      103.98199977092284,
      104.00676033748543,
      104.03152680012293,
      104.05629916023926,
      104.08107741923882,
      104.10586157852623,
      104.1306516395065,
      104.15544760358497,
      104.1802494721673,
      104.20505724665949,
      104.22987092846788,
      104.25469051899914,
      104.27951601966028,
      104.30434743185862,
      104.32918475700185,
      104.35402799649802,
      104.37887715175542,
      104.40373222418276,
      104.42859321518905,
      104.45346012618364,
      104.47833295857623,
      104.50321171377684,
      104.52809639319582,
      104.5529869982439,
      104.57788353033206,
      104.6027859908717,
      104.62769438127452,
      104.65260870295256,
      104.67752895731819,
      104.70245514578416,
      104.72738726976345,
      104.75232533066952,
      104.77726932991602,
      104.80221926891706,
      104.82717514908704,
      104.85213697184064,
      104.87710473859298,
      104.90207845075945,
      104.9270581097558,
      104.95204371699809,
      104.97703527390274,
      105.00203278188653,
      105.02703624236653,
      105.05204565676021,
      105.07706102648527,
      105.10208235295985,
      105.12710963760242,
      105.15214288183171,
      105.17718208706685,
      105.20222725472732,
      105.2272783862329,
      105.25233548300372,
      105.27739854646026,
      105.30246757802331,
      105.32754257911404,
      105.35262355115391,
      105.37771049556477,
      105.40280341376878,
      105.42790230718842,
      105.45300717724653,
      105.47811802536631,
      105.50323485297126,
      105.52835766148524,
      105.55348645233246,
      105.57862122693746,
      105.60376198672508,
      105.62890873312057,
      105.65406146754943,
      105.67922019143761,
      105.7043849062113,
      105.7295556132971,
      105.7547323141219,
      105.77991501011294,
      105.80510370269786,
      105.83029839330456,
      105.8554990833613,
      105.88070577429671,
      105.90591846753972,
      105.93113716451963,
      105.95636186666609,
      105.98159257540904,
      106.00682929217882,
      106.03207201840607,
      106.05732075552179,
      106.0825755049573,
      106.10783626814428,
      106.13310304651478,
      106.1583758415011,
      106.18365465453596
    ],
    "median": [
      100.0,
      100.01587427570284,
      100.03175107133198,
      100.04763038728741,
      100.06351222396923,
      100.0793965817776,
      100.09528346111274,
      100.1111728623749,
      100.12706478596441,
      100.1429592322817,
      100.1588562017272,
      100.17475569470147,
      100.1906577116051,
      100.20656225283872,
      100.22246931880308,
      100.23837890989893,
      100.25429102652714,
      100.27020566908863,
      100.28612283798432,
      100.30204253361532,
      100.31796475638268,
      100.33388950668758,
      100.34981678493126,
      100.36574659151498,
      100.38167892684014,
      100.39761379130812,
      100.41355118532043,
      100.42949110927859,
      100.44543356358425,
      100.46137854863903,
      100.47732606484472,
      100.49327611260308,
      100.509228692316,
      100.52518380438542,
      100.54114144921331,
      100.55710162720175,
      100.57306433875281,
      100.58902958426874,
      100.60499736415176,
      100.62096767880418,
      100.63694052862837,
      100.65291591402679,
      100.66889383540195,
      100.68487429315635,
      100.70085728769271,
      100.71684281941369,
      100.73283088872202,
      100.74882149602058,
      100.7648146417122,
      100.7808103261999,
      100.79680854988662,
      100.81280931317549,
      100.82881261646965,
      100.84481846017228,
      100.86082684468667,
      100.87683777041616,
      100.89285123776415,
      100.90886724713408,
      100.92488579892948,
      100.940906893554,
      100.95693053141122,
      100.97295671290489,
      100.98898543843882,
      101.00501670841679,
      101.02105052324279,
      101.03708688332075,
      101.05312578905472,
      101.06916724084883,
      101.08521123910718,
      101.1012577842341,
      101.11730687663379,
      101.13335851671069,
      101.14941270486915,
      101.16546944151372,
      101.18152872704893,
      101.19759056187942,
      101.21365494640983,
      101.22972188104495,
      101.24579136618956,
      101.26186340224854,
      101.27793798962685,
      101.29401512872948,
      101.31009481996149,
      101.32617706372801,
      101.34226186043425,
      101.35834921048547,
      101.37443911428699,
      101.3905315722442,
      101.40662658476253,
      101.42272415224755,
      101.43882427510479,
      101.45492695373997,
      101.47103218855871,
      101.48713997996683,
      101.50325032837017,
      101.51936323417465,
      101.5354786977862,
      101.5515967196109,
      101.56771730005478,
      101.58384043952408,
      101.59996613842497,
      101.61609439716376,
      101.63222521614684,
      101.64835859578059,
      101.66449453647148,
      101.68063303862608,
      101.69677410265103,
      101.71291772895299,
      101.72906391793867,
      101.74521267001492,
      101.76136398558862,
      101.77751786506664,
      101.79367430885604,
      101.80983331736388,
      101.82599489099728,
      101.84215903016343,
      101.8583257352696,
      101.87449500672312,
      101.89066684493136,
      101.90684125030178,
      101.9230182232419,
      101.93919776415932,
      101.95537987346167,
      101.97156455155665,
      101.98775179885206,
      102.00394161575575,
      102.02013400267558,
      102.03632896001957,
      102.05252648819574,
      102.06872658761219,
      102.08492925867706,
      102.10113450179865,
      102.11734231738518,
      102.13355270584505,
      102.14976566758669,
      102.16598120301856,
      102.18219931254924,
      102.19841999658735,
      102.21464325554153,
      102.2308690898206,
      102.24709749983332,
      102.26332848598858,
      102.27956204869535,
      102.29579818836261,
      102.31203690539945,
      102.328278200215,
      102.34452207321847,
      102.36076852481912,
      102.37701755542629,
      102.3932691654494,
      102.40952335529786,
      102.42578012538124,
      102.44203947610913,
      102.45830140789118,
      102.4745659211371,
      102.49083301625672,
      102.50710269365986,
      102.52337495375643,
      102.53964979695644,
      102.55592722366993,
      102.57220723430703,
      102.58848982927789,
      102.60477500899276,
      102.62106277386196,
      102.63735312429587,
      102.6536460607049,
      102.66994158349961,
      102.68623969309051,
      102.70254038988827,
      102.71884367430357,
      102.73514954674721,
      102.75145800762996,
      102.7677690573628,
      102.78408269635662,
      102.80039892502246,
      102.81671774377143,
      102.8330391530147,
      102.84936315316344,
      102.865689744629,
      102.88201892782267,
      102.89835070315594,
      102.91468507104022,
      102.93102203188711,
      102.9473615861082,
      102.96370373411517,
      102.98004847631978,
      102.99639581313383,
      103.0127457449692,
      103.0290982722378,
      103.0454533953517,
      103.0618111147229,
      103.07817143076359,
      103.09453434388595,
      103.11089985450226,
      103.12726796302482,
      103.14363866986609,
      103.1600119754385,
      103.17638788015455,
      103.19276638442687,
      103.20914748866812,
      103.225531193291,
      103.24191749870835,
      103.258306405333,
      103.27469791357787,
      103.29109202385594,
      103.30748873658027,
      103.323888052164,
      103.3402899710203,
      103.3566944935624,
      103.37310162020366,
      103.38951135135741,
      103.40592368743715,
      103.42233862885635,
      103.43875617602862,
      103.45517632936759,
      103.47159908928695,
      103.48802445620053,
      103.50445243052214,
      103.52088301266566,
      103.53731620304512,
      103.5537520020745,
      103.57019041016792,
      103.5866314277396,
      103.60307505520372,
      103.61952129297461,
      103.63597014146661,
      103.65242160109418,
      103.66887567227181,
      103.68533235541403,
      103.70179165093556,
      103.718253559251,
      103.73471808077517,
      103.75118521592286,
      103.767654965109,
      103.78412732874853,
      103.80060230725647,
      103.81707990104793,
      103.83356011053806,
      103.85004293614209,
      103.86652837827528,
      103.88301643735302,
      103.8995071137907,
      103.91600040800384,
      103.93249632040798,
      103.9489948514187,
      103.96549600145175,
      103.98199977092284,
      103.9985061602478,
      104.01501516984251,
      104.03152680012293,
      104.04804105150505,
      104.06455792440497,
      104.08107741923882
    ],
    "fifth_percentile": [
      100.0,
      97.96455291956923,
      97.14265854910862,
      96.52024003447862,
      96.00100796074503,
      95.54767479241622,
      95.14112179941894,
      94.76999425555294,
      94.42689565557374,
      94.10668956178203,
      93.80563702971273,
      93.5209161089469,
      93.25033492894416,
      92.99215081028454,
      92.74495111905992,
      92.50757190887332,
      92.2790406606133,
      92.0585349316992,
      91.84535182457076,
      91.63888500371618,
      91.4386070984958,
      91.24405602525077,
      91.05482421194746,
      90.87055000635024,
      90.69091075017141,
      90.51561714065426,
      90.34440859867689,
      90.17704943214508,
      90.01332563391217,
      89.85304219050973,
      89.69602080550641,
      89.54209796200755,
      89.39112326453079,
      89.24295801255353,
      89.09747396736459,
      88.95455228114295,
      88.81408256292285,
      88.67596206065335,
      88.54009494219255,
      88.40639166099552,
      88.27476839461562,
      88.1451465460594,
      88.01745229960612,
      87.8916162239948,
      87.76757291694922,
      87.64526068589738,
      87.52462126048255,
      87.40559953308087,
      87.28814332406274,
      87.17220316897465,
      87.05773212519102,
      86.94468559590317,
      86.83302116958272,
      86.72269847328934,
      86.61367903839124,
      86.5059261774389,
      86.3994048710806,
      86.29408166403708,
      86.18992456926382,
      86.08690297952771,
      85.98498758570825,
      85.88415030120996,
      85.78436419193564,
      85.68560341132923,
      85.58784314004703,
      85.49105952986021,
      85.39522965143217,
      85.30033144564828,
      85.20634367820726,
      85.11324589721144,
      85.02101839351678,
      84.92964216362714,
      84.83909887493542,
      84.74937083313353,
      84.66044095162727,
      84.5722927228083,
      84.48491019104662,
      84.39827792727992,
      84.31238100508531,
      84.22720497812989,
      84.14273585890365,
      84.05896009864705,
      83.97586456839245,
      83.8934365410445,
      83.81166367443092,
      83.73053399526034,
      83.65003588392834,
      83.57015806011786,
      83.49088956914358,
      83.41221976899406,
      83.33413831802835,
      83.25663516328738,
      83.17970052938269,
      83.10332490792864,
      83.02749904748522,
      82.95221394398227,
      82.87746083159685,
      82.8032311740582,
      82.72951665635564,
      82.65630917682739,
      82.58360083960841,
      82.51138394741837,
      82.43965099467067,
      82.36839466088534,
      82.29760780438977,
      82.2272834562919,
      82.15741481471179,
      82.08799523925772,
      82.01901824573505,
      81.9504775010752,
      81.88236681847413,
      81.81468015272961,
      81.74741159576779,
      81.68055537234923,
      81.6141058359461,
      81.54805746478225,
      81.48240485802803,
      81.41714273214312,
      81.35226591735969,
      81.28776935430002,
      81.22364809072195,
      81.15989727838647,
      81.09651217004182,
      81.0334881165189,
      80.97082056393309,
      80.90850505098764,
      80.84653720637404,
      80.78491274626562,
      80.7236274718997,
      80.66267726724504,
      80.60205809675055,
      80.54176600317219,
      80.4817971054743,
      80.42214759680292,
      80.36281374252736,
      80.30379187834787,
      80.24507840846633,
      80.18666980381758,
      80.12856260035885,
      80.07075339741512,
      80.01323885607802,
      79.95601569765631,
      79.8990807021759,
      79.84243070692727,
      79.78606260505902,
      79.72997334421503,
      79.6741599252143,
      79.61861940077128,
      79.56334887425561,
      79.50834549848962,
      79.45360647458193,
      79.39912905079653,
      79.34491052145532,
      79.29094822587315,
      79.23723954732446,
      79.18378191204012,
      79.13057278823308,
      79.07760968515277,
      79.02489015216622,
      78.97241177786547,
      78.92017218920047,
      78.86816905063608,
      78.81640006333306,
      78.76486296435161,
      78.71355552587694,
      78.66247555446625,
      78.61162089031622,
      78.56098940655035,
      78.51057900852565,
      78.46038763315788,
      78.41041324826473,
      78.36065385192656,
      78.31110747186396,
      78.26177216483147,
      78.21264601602735,
      78.16372713851851,
      78.11501367268023,
      78.06650378565034,
      78.0181956707973,
      77.97008754720157,
      77.92217765915042,
      77.87446427564495,
      77.82694568991978,
      77.77962021897447,
      77.73248620311645,
      77.68554200551526,
      77.6387860117676,
      77.59221662947299,
      77.54583228781956,
      77.49963143717993,
      77.45361254871654,
      77.40777411399657,
      77.36211464461584,
      77.31663267183153,
      77.27132674620347,
      77.22619543724399,
      77.18123733307552,
      77.13645104009636,
      77.09183518265402,
      77.04738840272593,
      77.00310935960752,
      76.95899672960722,
      76.91504920574842,
      76.8712654974779,
      76.82764433038112,
      76.78418444590326,
      76.740884601077,
      76.69774356825575,
      76.65476013485299,
      76.61193310308728,
      76.56926128973258,
      76.52674352587412,
      76.48437865666936,
      76.44216554111419,
      76.40010305181396,
      76.35819007475935,
      76.31642550910703,
      76.27480826696485,
      76.23333727318148,
      76.19201146514042,
      76.15082979255834,
      76.10979121728735,
      76.0688947131217,
      76.0281392656078,
      75.98752387185881,
      75.94704754037234,
      75.9067092908522,
      75.86650815403361,
      75.82644317151174,
      75.78651339557395,
      75.74671788903495,
      75.7070557250756,
      75.66752598708456,
      75.62812776850319,
      75.58886017267328,
      75.54972231268805,
      75.51071331124561,
      75.47183230050548,
      75.43307842194788,
      75.39445082623538,
      75.35594867307768,
      75.31757113109826,
      75.27931737770429,
      75.24118659895832,
      75.20317798945268,
      75.16529075218624,
      75.12752409844323,
      75.08987724767447,
      75.05234942738068,
      75.01493987299796,
      74.9776478277853,
      74.94047254271423,
      74.9034132763603
    ],
    "ninety_fifth_percentile": [
      100.0,
      102.11014912042722,
      103.00676728276288,
      103.70393134679013,
      104.29793073308826,
      104.82605298279532,
      105.30741683163231,
      105.75337701144859,
      106.17133003313914,
      106.56641234005521,
      106.94236288231505,
      107.3020036159922,
      107.64752641728312,
      107.980673971265,
      108.30285891750478,
      108.61524520805948,
      108.91880536770202,
      109.2143618446759,
      109.50261754220553,
      109.78417880146839,
      110.05957299877097,
      110.32926222344055,
      110.59365405318037,
      110.85311014589715,
      111.1079531655511,
      111.35847242057264,
      111.60492849575895,
      111.84755708888073,
      112.08657221276265,
      112.32216888655239,
      112.55452541236203,
      112.78380531276827,
      113.01015898893687,
      113.23372514707536,
      113.45463203158103,
      113.67299849596249,
      113.88893493687442,
      114.10254411205815,
      114.3139218593472,
      114.52315773097966,
      114.73033555509657,
      114.93553393438728,
      115.13882669026968,
      115.34028325970333,
      115.53996905066452,
      115.73794576142654,
      115.93427166804886,
      116.12900188385952,
      116.3221885941935,
      116.51388126921132,
      116.7041268572467,
      116.89296996081809,
      117.08045299716481,
      117.2666163449396,
      117.45149847848812,
      117.63513609097498,
      117.81756420746851,
      117.99881628896587,
      118.17892432823089,
      118.35791893821752,
      118.5358294337682,
      118.71268390720196,
      118.88850929834094,
      119.0633314594673,
      119.23717521565253,
      119.4100644208544,
      119.58202201013992,
      119.75307004835561,
      119.92322977553579,
      120.09252164931286,
      120.2609653845667,
      120.4285799905309,
      120.5953838055512,
      120.76139452967591,
      120.9266292552407,
      121.09110449559688,
      121.25483621211865,
      121.4178398396141,
      121.58013031025315,
      121.74172207611716,
      121.9026291304661,
      122.06286502781067,
      122.22244290287115,
      122.38137548849699,
      122.53967513261584,
      122.69735381427597,
      122.85442315883995,
      123.0108944523845,
      123.16677865535587,
      123.32208641552799,
      123.47682808030554,
      123.6310137084129,
      123.78465308100493,
      123.93775571223534,
      124.09033085931351,
      124.24238753208043,
      124.3939345021311,
      124.54498031150996,
      124.69553328100253,
      124.84560151804705,
      124.99519292428627,
      125.14431520277965,
      125.29297586489442,
      125.4411822368925,
      125.58894146622976,
      125.73626052758303,
      125.88314622861853,
      126.02960521551539,
      126.17564397825723,
      126.32126885570305,
      126.46648604044861,
      126.61130158348924,
      126.75572139869335,
      126.89975126709645,
      127.04339684102361,
      127.18666364804982,
      127.32955709480485,
      127.47208247063062,
      127.61424495109793,
      127.75604960138882,
      127.89750137955127,
      128.03860513963156,
      128.17936563468993,
      128.31978751970553,
      128.45987535437428,
      128.59963360580593,
      128.73906665112298,
      128.8781787799679,
      129.01697419692033,
      129.1554570238299,
      129.2936313020676,
      129.4315009946988,
      129.56906998858162,
      129.70634209639422,
      129.84332105859278,
      129.98001054530386,
      130.11641415815387,
      130.25253543203777,
      130.38837783682933,
      130.52394477903619,
      130.65923960340058,
      130.79426559444912,
      130.9290259779927,
      131.0635239225789,
      131.1977625408988,
      131.33174489114947,
      131.46547397835434,
      131.59895275564276,
      131.7321841254903,
      131.8651709409214,
      131.9979160066753,
      132.13042208033758,
      132.26269187343735,
      132.3947280525119,
      132.5265332401405,
      132.65811001594759,
      132.78946091757663,
      132.9205884416361,
      133.05149504461855,
      133.18218314379257,
      133.31265511807058,
      133.44291330885122,
      133.57296002083882,
      133.70279752283966,
      133.83242804853649,
      133.96185379724128,
      134.09107693462826,
      134.2200995934459,
      134.34892387421087,
      134.47755184588235,
      134.60598554651912,
      134.73422698391852,
      134.8622781362394,
      134.99014095260776,
      135.11781735370747,
      135.2453092323551,
      135.3726184540604,
      135.4997468575718,
      135.62669625540872,
      135.75346843437984,
      135.88006515608862,
      136.00648815742588,
      136.13273915105057,
      136.25881982585798,
      136.3847318474371,
      136.51047685851609,
      136.63605647939744,
      136.76147230838225,
      136.8867259221844,
      137.0118188763348,
      137.1367527055758,
      137.26152892424656,
      137.3861490266591,
      137.51061448746538,
      137.63492676201602,
      137.75908728671098,
      137.8830974793411,
      138.00695873942303,
      138.13067244852556,
      138.25423997058903,
      138.37766265223715,
      138.50094182308214,
      138.62407879602273,
      138.74707486753545,
      138.86993131795987,
      138.99264941177705,
      139.1152303978822,
      139.23767550985104,
      139.35998596620067,
      139.4821629706447,
      139.6042077123426,
      139.72612136614416,
      139.8479050928282,
      139.96956003933667,
      140.0910873390035,
      140.21248811177864,
      140.33376346444757,
      140.45491449084594,
      140.5759422720701,
      140.696847876683,
      140.81763236091572,
      140.9382967688655,
      141.05884213268894,
      141.17926947279162,
      141.29957979801412,
      141.41977410581381,
      141.53985338244337,
      141.6598186031256,
      141.7796707322245,
      141.89941072341378,
      142.01903951984073,
      142.13855805428832,
      142.25796724933298,
      142.37726801749997,
      142.49646126141542,
      142.61554787395562,
      142.7345287383934,
      142.85340472854148,
      142.97217670889353,
      143.09084553476205,
      143.20941205241422,
      143.3278770992045,
      143.44624150370535,
      143.56450608583523,
      143.6826716569842,
      143.80073902013737,
      143.91870896999578,
      144.03658229309545,
      144.15435976792386,
      144.2720421650346,
      144.38963024715974,
      144.5071247693204,
      144.62452647893502
    ],
    "paths": [
      [
        100.0,
        100.0,
        100.0,
        100.0
      ],
      [
        102.81958724834635,
        101.88712558258273,
        97.88736102631277,
        99.69481866096447
      ],
      [
        103.00710322545162,
        101.57312577916846,
        96.0750871409947,
        100.85512019651293
      ],
      [
        102.62643175906625,
        102.09618696290836,
        96.19755018879587,
        101.17231826046451
      ],
      [
        105.36845044933688,
        100.29382376293495,
        94.25658271334133,
        101.6099956604499
      ],
      [
        106.24326088856573,
        100.62787895312053,
        93.12466366440006,
        101.8824202962325
      ],
      [
        106.83640348667774,
        101.77078130073957,
        93.46027266280534,
        103.01299282158112
      ],
      [
        106.90533299851661,
        102.19132203897456,
        94.06275451620093,
        101.37707392877886
      ],
      [
        105.9902540694418,
        103.26478705504583,
        94.53194920236773,
        99.51808797371477
      ],
      [
        103.83366705900976,
        102.50447210427144,
        94.89965264138304,
        99.14853669418191
      ],
      [
        104.24681684987564,
        103.33635780724599,
        96.41359912041173,
        99.79050978279605
      ],
      [
        106.16002652007714,
        103.41490613498283,
        95.65214959886757,
        99.11237997311197
      ],
      [
        105.99509228777929,
        102.46061062328951,
        93.31865347879986,
        100.48129367213593
      ],
      [
        104.98907107251017,
        101.08513540498107,
        93.19255668327823,
        101.78956698193014
      ],
      [
        106.44007236755473,
        102.08508673544725,
        93.53793561561524,
        101.79395704735764
      ],
      [
        105.35768440273179,
        104.13677439933238,
        92.36858332060109,
        103.07510977862565
      ],
      [
        109.96080831642261,
        102.89058686945052,
        92.12234305963877,
        104.78712523300196
      ],
      [
        108.40321532455887,
        100.90328596357307,
        92.44184763010094,
        105.54904345203677
      ],
      [
        110.4174265591922,
        100.76201768230355,
        93.2565512711398,
        107.5546548699609
      ],
      [
        110.99631071161708,
        101.14118147647102,
        92.66026019997527,
        104.88375567481934
      ],
      [
        111.83585613540762,
        101.64166631863804,
        92.2038659061189,
        105.04815773091518
      ],
      [
        111.05986084058542,
        100.26039781183154,
        92.73538107263217,
        103.50071237733162
      ],
      [
        112.7925552760507,
        100.49828154963227,
        95.89041331359623,
        105.0254319914727
      ],
      [
        115.75314153665188,
        99.69763189882921,
        94.84701885719257,
        104.49735244601628
      ],
      [
        113.95843805312478,
        99.60329298533559,
        94.96790184092222,
        106.05351754764196
      ],
      [
        114.10605089314718,
        100.44040576362505,
        95.30154154455961,
        106.18937798497905
      ],
      [
        115.08574098944896,
        99.03716645742958,
        96.90662660231726,
        105.59182167205574
      ],
      [
        114.52940436572563,
        100.03517049906417,
        96.9987726312184,
        103.06281690710696
      ],
      [
        111.81944152834684,
        101.3896824138437,
        96.57156161835407,
        100.84336507926261
      ],
      [
        110.95577976668656,
        102.93065610620916,
        96.79606753293191,
        100.97399262355266
      ],
      [
        111.51308831135589,
        100.41961972694634,
        96.25757634801406,
        99.06198878804534
      ],
      [
        113.49344273283353,
        100.25828754907245,
        96.01789071411237,
        97.6564995179994
      ],
      [
        113.87650537761607,
        99.8995158233267,
        96.88832366261755,
        99.75596684836395
      ],
      [
        115.25686254624709,
        99.51612459118721,
        94.76168364140761,
        99.68707182707207
      ],
      [
        118.00991968810581,
        99.30909235560588,
        92.94181557363282,
        97.87329941914098
      ],
      [
        116.46663256369256,
        100.7760827931921,
        89.82267200637625,
        95.65035251363145
      ],
      [
        116.53235961279182,
        99.60499732454518,
        87.54057114936228,
        95.68041535497483
      ],
      [
        117.31053932187136,
        100.42329218896167,
        86.77187715256382,
        95.07762591890648
      ],
      [
        117.38036347311073,
        98.5476020043436,
        84.9220789116467,
        92.65159244899334
      ],
      [
        118.98396260820785,
        99.47323639111148,
        86.02743299854507,
        93.07105859827061
      ],
      [
        119.45217988326466,
        99.02352579658076,
        85.42288102814865,
        92.83976909059018
      ],
      [
        118.92606382250067,
        99.38187064153226,
        84.19061288620966,
        92.9233356276233
      ],
      [
        120.59795966962025,
        101.7230250291486,
        83.78769046402688,
        94.97234054207337
      ],
      [
        119.53941031461517,
        100.22506654362826,
        82.3453197561089,
        95.03659329354102
      ],
      [
        119.25120216767644,
        98.84372706131815,
        83.42644610686601,
        95.84691931428982
      ],
      [
        118.11824826954549,
        99.70947727110762,
        82.28646569982338,
        96.37498601526808
      ],
      [
        120.33186453288565,
        98.06847330489032,
        82.96265556817288,
        94.56864820680656
      ],
      [
        116.90117878644459,
        98.50339086559998,
        84.72603818923807,
        94.49530082661438
      ],
      [
        115.90714668197263,
        97.88447878765182,
        86.16342426951815,
        94.37710193290944
      ],
      [
        115.20350270342476,
        98.12532052556922,
        85.61111021726634,
        94.1618448671063
      ],
      [
        114.19492560983161,
        96.40153472083983,
        86.29896175862828,
        95.1700506936476
      ],
      [
        115.25613883283405,
        96.83949149367666,
        86.504593455838,
        95.42911805975109
      ],
      [
        116.71622176423158,
        94.93284457092514,
        86.56081390275473,
        95.66685154750756
      ],
      [
        116.06373963987093,
        96.09033122060201,
        87.46968842850382,
        97.2337115409391
      ],
      [
        116.2060377195296,
        97.1308999200161,
        86.34320899559366,
        97.71215939044954
      ],
      [
        115.66330398690536,
        97.32112443614663,
        87.16979318814406,
        99.97469980259316
      ],
      [
        117.60696352927764,
        96.12788750492662,
        87.30852387864822,
        99.8040612912202
      ],
      [
        116.14978935044368,
        97.68681813036916,
        86.92641000160489,
        97.82166978891462
      ],
      [
        116.7314146135183,
        97.00548050846947,
        86.68733221923638,
        95.90358248766783
      ],
      [
        115.90749733312629,
        96.15685798261026,
        86.97531072922858,
        96.07501796341019
      ],
      [
        112.83296838197087,
        96.95594012677002,
        89.15082625354302,
        96.16728240344356
      ],
      [
        115.5145692310452,
        96.88309577014121,
        89.5162922872725,
        95.5695096422052
      ],
      [
        113.73366927108563,
        99.28132397119904,
        91.8410013073537,
        97.16659525249509
      ],
      [
        113.30888150373306,
        99.04918617420472,
        89.99911660026152,
        98.21837207227667
      ],
      [
        112.54621037079357,
        97.76624913859587,
        90.62569548193254,
        98.81395050765224
      ],
      [
        111.77306274243348,
        98.96015432204614,
        91.15023033337147,
        97.72340920307704
      ],
      [
        110.55815791653902,
        98.64889305312008,
        90.77639324133254,
        98.12001155815699
      ],
      [
        109.62040652381032,
        97.4575573210585,
        92.82207476700118,
        95.75209870344061
      ],
      [
        109.43334588482432,
        97.78367741516142,
        93.18475123856004,
        96.66768671263712
      ],
      [
        106.72698446207949,
        97.27690831609395,
        95.13349557292024,
        98.07859367252067
      ],
      [
        107.19627409472548,
        94.11318826037235,
        96.13707531773747,
        99.11703068119063
      ],
      [
        105.81876931111425,
        94.51293742165343,
        96.07887882842348,
        98.31998884059273
      ],
      [
        105.88881662260512,
        94.14652523520826,
        95.92165270781588,
        98.40672695494146
      ],
      [
        104.50350448992106,
        94.61042491234495,
        95.6811160481911,
        99.8370232179798
      ],
      [
        105.38238260942892,
        92.81777605791055,
        97.29825846970614,
        98.11457467130963
      ],
      [
        104.88268777169448,
        92.0644277453303,
        97.99086891632255,
        99.58164387893768
      ],
      [
        106.44345677833283,
        93.23646435499947,
        97.39832552314822,
        99.93326257600954
      ],
      [
        105.83236197825339,
        94.46832389317092,
        96.45680632016861,
        98.76243905927163
      ],
      [
        106.45730364004575,
        93.44024222386838,
        97.3692644818079,
        96.47393957258625
      ],
      [
        107.35149834770806,
        92.48937463036378,
        98.66851301675072,
        97.15527447131392
      ],
      [
        106.26780406411827,
        93.8187635100274,
        98.58586601081115,
        96.85987261280331
      ],
      [
        106.83208874395645,
        91.62473430977346,
        97.91667605529558,
        94.7499035605779
      ],
      [
        109.62202034346072,
        89.17378458934851,
        98.69226858981897,
        94.39600036708676
      ],
      [
        108.32735599185945,
        88.62477215088063,
        97.73430474046975,
        92.00880698694
      ],
      [
        107.40029216234714,
        88.57571078605424,
        98.01911200931251,
        90.19467201899256
      ],
      [
        106.16730057577806,
        87.87067713088197,
        97.86860150234145,
        89.368330748323
      ],
      [
        105.22083360777441,
        87.68306705043219,
        95.6906863836429,
        89.09813670884148
      ],
      [
        106.11303382249282,
        86.7342114382063,
        95.99811960866728,
        88.61252557492048
      ],
      [
        105.04158565933037,
        87.01209914362184,
        94.29538080376567,
        90.60275740829712
      ],
      [
        104.49008463955509,
        88.2718439955594,
        92.91331942452015,
        91.47996155435331
      ],
      [
        106.71876896948045,
        87.82222977977511,
        92.20709518382799,
        92.67141868025234
      ],
      [
        105.37363376651115,
        88.13604213636722,
        93.85690292482322,
        93.03439436810051
      ],
      [
        106.60151870222256,
        89.68936180463142,
        93.28131768078967,
        94.8346360308603
      ],
      [
        106.13180499776351,
        89.92015156008681,
        93.45121455038267,
        95.50316975745568
      ],
      [
        106.55370363385555,
        89.80541192403577,
        94.13844304166102,
        95.25495965548244
      ],
      [
        106.81227483857793,
        89.96344733874791,
        93.02146706285022,
        95.93409152915258
      ],
      [
        106.32452190875907,
        91.94175606428709,
        96.55773424820867,
        96.07541275637048
      ],
      [
        105.77060637437545,
        89.83481973732471,
        94.47891741846011,
        94.35392810296179
      ],
      [
        103.83795410814065,
        88.39872264735698,
        94.88527587221112,
        95.75887049021804
      ],
      [
        105.08403028855626,
        88.01976252866102,
        92.85497396178741,
        95.06272196641969
      ],
      [
        104.20017794693376,
        89.21726373653395,
        92.69839691039121,
        94.65950011911897
      ],
      [
        102.49927209921832,
        90.18730025624104,
        94.26883912997786,
        96.04910453445747
      ],
      [
        100.88094396380755,
        89.03495313937512,
        95.29294807151815,
        96.994428885797
      ],
      [
        101.49225710648666,
        89.31579753940304,
        95.8245865316945,
        98.14577232579515
      ],
      [
        101.68348314932891,
        88.70436812435696,
        97.78144566216136,
        96.878910620166
      ],
      [
        101.33578487567854,
        90.03844351957233,
        97.1758510365931,
        98.33552582018733
      ],
      [
        99.83177024511643,
        89.75391052216813,
        98.79016719695016,
        98.31729497143216
      ],
      [
        99.98470932727797,
        90.41376710896274,
        98.76413999659385,
        98.39085704059154
      ],
      [
        99.53178454809955,
        89.46367130603309,
        98.02706474825114,
        99.2534058045638
      ],
      [
        97.91867945352504,
        88.54396365929189,
        98.85330996000445,
        100.15052884241551
      ],
      [
        97.4365326173313,
        87.62919857862342,
        98.64531217019557,
        98.16029385736486
      ],
      [
        98.8197834837231,
        87.6647403509151,
        97.83553040148601,
        96.176118084747
      ],
      [
        99.36457768542695,
        89.27690410360985,
        98.15481141193384,
        96.63811658595887
      ],
      [
        99.84999443492168,
        89.77374245203411,
        96.83932567191779,
        96.1164705105256
      ],
      [
        97.63364372915287,
        87.05753084215165,
        96.80357398571577,
        96.21784382574953
      ],
      [
        98.42481413023158,
        84.68092528057109,
        95.0886058791394,
        97.06199425931563
      ],
      [
        97.45019738866904,
        85.81568229521737,
        94.32305836757774,
        98.42863226572767
      ],
      [
        97.28275110344437,
        86.71071809621228,
        93.09319401739232,
        97.58654863114846
      ],
      [
        97.33153855606122,
        86.43471979216486,
        92.29421886875676,
        97.8405510093068
      ],
      [
        95.2367371594027,
        86.42607996827434,
        92.82029037168117,
        99.01978492898199
      ],
      [
        95.37092514987953,
        85.98383766166205,
        92.06797093464901,
        95.93004217318534
      ],
      [
        95.77986099230338,
        87.48310186830331,
        92.3068988811232,
        94.01430628265288
      ],
      [
        95.00138829302645,
        88.56181937963905,
        93.6807065660614,
        94.59845310158931
      ],
      [
        94.67357117437064,
        88.38287506717508,
        93.31123033295016,
        95.46725081935426
      ],
      [
        94.13465000038799,
        89.28299955059225,
        92.26162843399533,
        96.26923426117983
      ],
      [
        94.60931939906109,
        89.38266522178331,
        93.62991918855883,
        95.35071604276384
      ],
      [
        96.91887132527609,
        87.69187703859188,
        93.1392297483766,
        95.5031844850719
      ],
      [
        99.2555572756875,
        86.78748348391105,
        94.27834367400946,
        97.19306887850463
      ],
      [
        100.56724622430573,
        86.73210809760134,
        96.25245487079296,
        96.91465487631362
      ],
      [
        101.79798579834349,
        87.4626092246403,
        94.59049895313775,
        95.69145259557114
      ],
      [
        102.00939760691006,
        85.9594461034754,
        94.10056474627014,
        95.60093482572438
      ],
      [
        101.57077639804122,
        86.93450051669373,
        95.6269377136937,
        95.7020434303947
      ],
      [
        102.18456716141067,
        87.41078600773197,
        94.71455127872429,
        95.34001184574207
      ],
      [
        101.7613790438452,
        85.74407366573872,
        93.84909730714139,
        96.40300717956632
      ],
      [
        102.02809469991988,
        86.93982043170216,
        92.7544353465643,
        97.21240290245179
      ],
      [
        102.72818701109152,
        86.73444257772451,
        92.63067775655487,
        96.79362836025544
      ],
      [
        101.45969327918539,
        87.68863795494396,
        94.46737192358215,
        98.94139839135732
      ],
      [
        102.36612238793906,
        87.54080552836585,
        95.77070082851282,
        100.15461869888557
      ],
      [
        102.35927092102574,
        87.64148883402683,
        97.23775022053569,
        101.7714006421611
      ],
      [
        103.48786584453818,
        87.88513771440309,
        95.7884004208826,
        101.1364601831856
      ],
      [
        103.92956529922355,
        88.44533453599469,
        93.64767327970424,
        101.18651772351666
      ],
      [
        104.07994971941736,
        87.95254198366564,
        93.72270320564583,
        100.00801440434697
      ],
      [
        103.47590594033036,
        89.23936821237376,
        92.90529985645773,
        100.6736183498556
      ],
      [
        105.48620076237698,
        89.46244484325071,
        92.82411266110309,
        101.46828349453918
      ],
      [
        107.04057926086274,
        90.20195853269378,
        90.01226303477456,
        100.83460590885846
      ],
      [
        107.95090917599704,
        89.2558224540913,
        88.73547914727749,
        101.64371948871798
      ],
      [
        106.75490900628373,
        88.52094981468439,
        88.48722660284018,
        102.26116333819841
      ],
      [
        106.86017200223294,
        87.40485803292034,
        87.82716862566444,
        101.31935850304173
      ],
      [
        109.91097491577437,
        89.44775949576524,
        88.93718943013258,
        98.52225325486546
      ],
      [
        110.58623435253769,
        90.1954250872713,
        88.72439501367737,
        98.31479002587876
      ],
      [
        110.95747347723575,
        91.01421972597751,
        88.7255987525906,
        99.6185830636867
      ],
      [
        113.90294162924968,
        91.8384525608594,
        88.14776366466734,
        99.48237456552137
      ],
      [
        114.28434130697771,
        90.92050156945552,
        88.48844797761484,
        98.83212097423248
      ],
      [
        113.73606719105298,
        90.8916878675773,
        87.25933818712646,
        98.18092602749039
      ],
      [
        115.69106784231708,
        92.44836462070295,
        87.58820409925167,
        100.18802609385145
      ],
      [
        115.09387678539129,
        93.78083607696335,
        86.34691144752799,
        100.78400323437148
      ],
      [
        114.42752911975494,
        93.3106301428238,
        86.35719085168027,
        101.67515238627594
      ],
      [
        114.74025637822601,
        92.56152280987557,
        86.9067173103372,
        102.09054198063814
      ],
      [
        115.34945078362963,
        91.80042271674881,
        86.43548872631632,
        102.26191238516644
      ],
      [
        116.25521171671245,
        91.96832960941357,
        86.34398991200358,
        103.72540609298638
      ],
      [
        116.22122428386952,
        91.83632507756239,
        85.5589195116526,
        104.72923768935489
      ],
      [
        116.64305451839954,
        91.97039777159125,
        84.85577581526566,
        105.55899829243785
      ],
      [
        116.66152187842316,
        91.29000617593978,
        84.24795796972,
        103.36943316669964
      ],
      [
        117.57909939891391,
        91.36573900583265,
        84.38423813084754,
        103.9892274951393
      ],
      [
        119.57486854539535,
        92.34414329963705,
        84.18652195204349,
        103.22104998128965
      ],
      [
        116.41065492426034,
        92.28620591424223,
        83.99892695451194,
        102.32917323277402
      ],
      [
        115.70583998618034,
        89.55876935788328,
        83.55214876206722,
        104.1727497994454
      ],
      [
        116.37432470323985,
        89.99841620758843,
        84.23674366659553,
        103.15282306761449
      ],
      [
        116.9358518230525,
        89.08789857774589,
        83.88831539259255,
        103.72183320963101
      ],
      [
        116.55642452255807,
        87.9807578341408,
        86.3296754058107,
        103.67850914369905
      ],
      [
        114.9383111926807,
        88.75650187865762,
        85.42775955643967,
        103.01952453426165
      ],
      [
        115.8816073411204,
        91.35635549015353,
        86.14025938728918,
        101.64969463580292
      ],
      [
        115.34647491625145,
        91.05015052089136,
        86.27918780840281,
        100.31606249659504
      ],
      [
        115.14082964280932,
        92.95732524322517,
        85.53203459443516,
        101.7972483940453
      ],
      [
        114.11949033832988,
        95.44402536813786,
        86.16595080805317,
        101.6455707348626
      ],
      [
        115.66813344268667,
        94.45781231620481,
        85.712101612091,
        102.09582434872446
      ],
      [
        115.49647455805882,
        95.83710395555113,
        83.07968987953144,
        101.39997617580028
      ],
      [
        113.72889549421956,
        96.91347209148097,
        82.7382042801565,
        99.8287127707413
      ],
      [
        112.5409567598691,
        97.06482633609842,
        81.70677274810149,
        101.14621637515408
      ],
      [
        113.86573826065617,
        94.84800096056743,
        80.97848805582932,
        101.17719193589755
      ],
      [
        113.53415013044442,
        95.77744129900788,
        81.05314647645915,
        99.53947477363421
      ],
      [
        112.33122539421664,
        95.010077921571,
        81.86414840039893,
        98.95648642569228
      ],
      [
        113.30315824289559,
        92.64552213850467,
        82.23300154284452,
        99.26055982451292
      ],
      [
        116.23847115063025,
        92.66628668927109,
        81.5573480773627,
        99.23290350043143
      ],
      [
        114.88204925314129,
        92.93110377609246,
        81.09296639312053,
        98.60781945636849
      ],
      [
        114.45551125488136,
        94.03158671099405,
        80.96122607943715,
        98.56969198033202
      ],
      [
        116.08632430957933,
        94.92012986171838,
        81.03921809776377,
        98.40893698355124
      ],
      [
        115.81271252530804,
        93.56592952169134,
        80.96155246445889,
        98.68937860504592
      ],
      [
        114.1245991587726,
        96.47431318917266,
        80.52449304982207,
        99.38962691288803
      ],
      [
        112.9140095036534,
        97.09488062600839,
        81.15527659471655,
        99.39794495423108
      ],
      [
        111.13371315097622,
        96.28217320792395,
        80.84316581506638,
        100.94631016576801
      ],
      [
        112.96606330538685,
        95.61941374344933,
        79.95200200597192,
        102.70793490279873
      ],
      [
        114.31058727082531,
        95.1937487495721,
        79.12362654668163,
        102.06410643887678
      ],
      [
        113.66004796409679,
        94.92134035303579,
        80.25324062842373,
        102.37801655529444
      ],
      [
        111.3022768204703,
        94.0940925649497,
        80.59842996052716,
        103.65391782610978
      ],
      [
        109.88392609132643,
        93.33111127927803,
        79.72962327180814,
        104.47395024699159
      ],
      [
        109.3309340919574,
        93.62362442164981,
        79.26859377155024,
        103.40392997323403
      ],
      [
        109.41085642613169,
        95.93450705662859,
        78.69406928472428,
        106.15899914750611
      ],
      [
        107.33823052831966,
        95.66975967968985,
        78.68548489534675,
        106.41381345551414
      ],
      [
        106.02293800442672,
        96.97534462082959,
        78.82970245793021,
        107.06904627381715
      ],
      [
        104.7797170364856,
        95.33495980102266,
        78.8857114194752,
        105.41429918495702
      ],
      [
        103.95612423528445,
        96.29699550172103,
        78.70062170304713,
        107.37793109837892
      ],
      [
        105.08394769766475,
        94.9187833718336,
        78.12745863444891,
        105.19064365426696
      ],
      [
        105.15383431796104,
        97.62337554169866,
        78.03007271628103,
        105.40934344827042
      ],
      [
        106.28055051841511,
        97.30817410707992,
        77.80337516190177,
        108.04455503914214
      ],
      [
        105.04348837098951,
        97.78742713897121,
        76.26352692139105,
        107.8457273383363
      ],
      [
        105.25650594136017,
        97.71468495094143,
        76.04246660178471,
        108.5707379269078
      ],
      [
        105.64050646277909,
        97.72193375293841,
        74.79493793190424,
        107.95309147478775
      ],
      [
        103.37291963255892,
        97.80499374827652,
        73.41681625586025,
        106.07757210965192
      ],
      [
        102.60785800128302,
        98.00834198879173,
        73.67098765081951,
        106.7280506599229
      ],
      [
        101.27999629161744,
        99.53039954784813,
        74.6820871862884,
        106.59906356253622
      ],
      [
        103.42468929643735,
        99.8504022877513,
        74.72850675727875,
        108.30035057531158
      ],
      [
        106.72669278654033,
        99.88467691941119,
        75.9395402235801,
        106.39332227359199
      ],
      [
        107.27146056139625,
        97.88291371389374,
        74.12487098725148,
        106.3453336638428
      ],
      [
        106.58566677951033,
        98.25657486006273,
        74.67098107704749,
        106.15293689402816
      ],
      [
        108.03199379308663,
        97.69097698976259,
        72.2267096066279,
        106.30929665617697
      ],
      [
        110.30843673643622,
        97.57713915590489,
        72.89240262295162,
        105.23982732864275
      ],
      [
        109.74794590744126,
        97.70658983696002,
        72.61909434724585,
        108.0633537154921
      ],
      [
        110.85059520586078,
        95.96394479083894,
        73.04084209611746,
        106.93957979283108
      ],
      [
        112.22691190294528,
        95.48860359782003,
        72.67859997915286,
        108.45249847467014
      ],
      [
        111.96107165012424,
        95.30024988375938,
        73.76064277350095,
        109.9667204270052
      ],
      [
        110.79334548330972,
        95.78709511417838,
        74.03079045004343,
        110.03799050393685
      ],
      [
        111.26774064897435,
        95.98833205949077,
        74.89375638871742,
        108.95142989878404
      ],
      [
        110.5468684170279,
        96.87106242698884,
        76.47153365758179,
        107.30179731813783
      ],
      [
        111.38631991034953,
        96.14455786708848,
        77.65325531721409,
        107.92022020668009
      ],
      [
        113.95898511147102,
        99.2636831632862,
        79.91410771988994,
        106.6700970750224
      ],
      [
        114.50779197134469,
        101.41351841767128,
        78.3816188027191,
        107.36006646777192
      ],
      [
        114.23997125532937,
        100.57024871425145,
        80.17838931396595,
        107.64708302695394
      ],
      [
        113.75125406796485,
        101.05456163114171,
        80.63821252009829,
        104.41921516086812
      ],
      [
        113.71263969086462,
        102.68276208625736,
        79.74063113021012,
        102.66725045557499
      ],
      [
        113.22572465699248,
        102.7109914663236,
        80.75283530071948,
        104.6327841459379
      ],
      [
        113.27242851759678,
        99.97442243433093,
        82.28357570010135,
        105.29122298178754
      ],
      [
        113.21097538265626,
        100.58454150171458,
        81.03339978308911,
        106.64165353630337
      ],
      [
        114.29019821273249,
        101.54797020839344,
        80.64459137350526,
        105.66028249652251
      ],
      [
        116.53655328325816,
        102.94672963139261,
        79.68916176188951,
        105.404252901072
      ],
      [
        113.65476596442458,
        105.10917169515128,
        77.90822756224222,
        105.9600579874739
      ],
      [
        115.87623746893769,
        105.43372519577152,
        77.6038778651021,
        105.17688600105788
      ],
      [
        116.60095966829671,
        106.23567753651221,
        78.05887470788588,
        106.97101475744286
      ],
      [
        119.00107141392544,
        108.51857966649825,
        77.59758696621431,
        107.43310752806362
      ],
      [
        119.99249501543001,
        110.09821284105305,
        78.2844237867452,
        108.34096469462888
      ],
      [
        119.14010273745464,
        113.13427008977061,
        79.4497133025758,
        106.3202439281508
      ],
      [
        119.85208129902465,
        113.91352965490009,
        78.79434901125572,
        108.58311584326421
      ],
      [
        118.49627650158668,
        112.66111325665591,
        79.988794879674,
        109.27090860378443
      ],
      [
        117.69481100041699,
        111.14757368900554,
        80.92625965779783,
        110.31916650349778
      ],
      [
        116.73947047114557,
        111.16041096516582,
        81.82778435845897,
        110.63659225179524
      ],
      [
        116.63466495657721,
        111.09586057949532,
        82.2255032764119,
        109.83062309155997
      ],
      [
        115.48207043626506,
        112.67779516291758,
        80.92944456790187,
        110.42332847994803
      ],
      [
        117.27292674718746,
        112.06903435912099,
        79.95684557570657,
        111.3650472775494
      ],
      [
        117.31744448643069,
        110.47048010777507,
        78.46176682187615,
        112.03819945869353
      ],
      [
        116.28987703824316,
        110.2822478288858,
        79.25105745136428,
        113.34948902746905
      ],
      [
        115.64582568928039,
        109.43792915878663,
        77.15309105105298,
        113.46983421055445
      ],
      [
        115.97808672274815,
        109.32187445093034,
        78.27074429989638,
        113.31906408419472
      ],
      [
        116.40917178713485,
        108.21186783795594,
        78.11524418122792,
        111.57141176582405
      ]
    ]
  },
  "factor": {
    "assets": 10000,
    "factors": 50,
    "dense_entries": 100000000,
    "symmetric_entries": 50005000,
    "dense_float64_bytes": 800000000,
    "factor_and_diagonal_bytes": 4080000
  },
  "tails": {
    "alpha": 0.99,
    "degrees_of_freedom": 5,
    "loss": [
      -4.5,
      -4.48875,
      -4.4775,
      -4.46625,
      -4.455,
      -4.44375,
      -4.4325,
      -4.42125,
      -4.41,
      -4.39875,
      -4.3875,
      -4.37625,
      -4.365,
      -4.35375,
      -4.3425,
      -4.33125,
      -4.32,
      -4.30875,
      -4.2975,
      -4.28625,
      -4.275,
      -4.26375,
      -4.2525,
      -4.24125,
      -4.23,
      -4.21875,
      -4.2075,
      -4.19625,
      -4.185,
      -4.17375,
      -4.1625,
      -4.15125,
      -4.14,
      -4.12875,
      -4.1175,
      -4.10625,
      -4.095,
      -4.08375,
      -4.0725,
      -4.06125,
      -4.05,
      -4.03875,
      -4.0275,
      -4.01625,
      -4.005,
      -3.99375,
      -3.9825,
      -3.97125,
      -3.96,
      -3.94875,
      -3.9375,
      -3.92625,
      -3.915,
      -3.90375,
      -3.8925,
      -3.88125,
      -3.87,
      -3.85875,
      -3.8475,
      -3.83625,
      -3.825,
      -3.8137499999999998,
      -3.8025,
      -3.79125,
      -3.7800000000000002,
      -3.76875,
      -3.7575000000000003,
      -3.74625,
      -3.735,
      -3.72375,
      -3.7125,
      -3.70125,
      -3.69,
      -3.67875,
      -3.6675,
      -3.65625,
      -3.645,
      -3.63375,
      -3.6225,
      -3.61125,
      -3.6,
      -3.58875,
      -3.5775,
      -3.56625,
      -3.555,
      -3.54375,
      -3.5325,
      -3.52125,
      -3.51,
      -3.4987500000000002,
      -3.4875,
      -3.4762500000000003,
      -3.465,
      -3.4537500000000003,
      -3.4425,
      -3.4312500000000004,
      -3.42,
      -3.40875,
      -3.3975,
      -3.38625,
      -3.375,
      -3.36375,
      -3.3525,
      -3.34125,
      -3.33,
      -3.31875,
      -3.3075,
      -3.29625,
      -3.285,
      -3.2737499999999997,
      -3.2625,
      -3.2512499999999998,
      -3.24,
      -3.22875,
      -3.2175000000000002,
      -3.20625,
      -3.1950000000000003,
      -3.18375,
      -3.1725000000000003,
      -3.16125,
      -3.1500000000000004,
      -3.13875,
      -3.1275,
      -3.11625,
      -3.105,
      -3.09375,
      -3.0825,
      -3.07125,
      -3.06,
      -3.04875,
      -3.0375,
      -3.02625,
      -3.015,
      -3.00375,
      -2.9925,
      -2.98125,
      -2.9699999999999998,
      -2.95875,
      -2.9475,
      -2.9362500000000002,
      -2.925,
      -2.9137500000000003,
      -2.9025,
      -2.8912500000000003,
      -2.88,
      -2.8687500000000004,
      -2.8575,
      -2.8462500000000004,
      -2.835,
      -2.82375,
      -2.8125,
      -2.80125,
      -2.79,
      -2.77875,
      -2.7675,
      -2.75625,
      -2.745,
      -2.73375,
      -2.7225,
      -2.71125,
      -2.7,
      -2.6887499999999998,
      -2.6775,
      -2.66625,
      -2.6550000000000002,
      -2.64375,
      -2.6325000000000003,
      -2.62125,
      -2.6100000000000003,
      -2.59875,
      -2.5875000000000004,
      -2.57625,
      -2.5650000000000004,
      -2.55375,
      -2.5425,
      -2.53125,
      -2.52,
      -2.50875,
      -2.4975,
      -2.48625,
      -2.475,
      -2.46375,
      -2.4525,
      -2.44125,
      -2.43,
      -2.41875,
      -2.4075,
      -2.39625,
      -2.3850000000000002,
      -2.3737500000000002,
      -2.3625000000000003,
      -2.3512500000000003,
      -2.34,
      -2.32875,
      -2.3175,
      -2.30625,
      -2.295,
      -2.28375,
      -2.2725,
      -2.26125,
      -2.25,
      -2.23875,
      -2.2275,
      -2.21625,
      -2.205,
      -2.19375,
      -2.1825,
      -2.17125,
      -2.16,
      -2.14875,
      -2.1375,
      -2.12625,
      -2.115,
      -2.1037500000000002,
      -2.0925000000000002,
      -2.0812500000000003,
      -2.0700000000000003,
      -2.0587500000000003,
      -2.0475,
      -2.03625,
      -2.025,
      -2.01375,
      -2.0025,
      -1.99125,
      -1.98,
      -1.96875,
      -1.9575,
      -1.94625,
      -1.935,
      -1.92375,
      -1.9125,
      -1.90125,
      -1.8900000000000001,
      -1.8787500000000001,
      -1.8675000000000002,
      -1.8562500000000002,
      -1.8450000000000002,
      -1.8337500000000002,
      -1.8225000000000002,
      -1.8112500000000002,
      -1.8000000000000003,
      -1.7887500000000003,
      -1.7775000000000003,
      -1.7662500000000003,
      -1.755,
      -1.74375,
      -1.7325,
      -1.72125,
      -1.71,
      -1.69875,
      -1.6875,
      -1.67625,
      -1.665,
      -1.65375,
      -1.6425,
      -1.63125,
      -1.62,
      -1.6087500000000001,
      -1.5975000000000001,
      -1.5862500000000002,
      -1.5750000000000002,
      -1.5637500000000002,
      -1.5525000000000002,
      -1.5412500000000002,
      -1.5300000000000002,
      -1.5187500000000003,
      -1.5075000000000003,
      -1.4962500000000003,
      -1.4850000000000003,
      -1.47375,
      -1.4625,
      -1.45125,
      -1.44,
      -1.42875,
      -1.4175,
      -1.40625,
      -1.395,
      -1.38375,
      -1.3725,
      -1.36125,
      -1.35,
      -1.33875,
      -1.3275000000000001,
      -1.3162500000000001,
      -1.3050000000000002,
      -1.2937500000000002,
      -1.2825000000000002,
      -1.2712500000000002,
      -1.2600000000000002,
      -1.2487500000000002,
      -1.2375000000000003,
      -1.2262500000000003,
      -1.2150000000000003,
      -1.2037500000000003,
      -1.1925000000000003,
      -1.18125,
      -1.17,
      -1.15875,
      -1.1475,
      -1.13625,
      -1.125,
      -1.11375,
      -1.1025,
      -1.09125,
      -1.08,
      -1.06875,
      -1.0575,
      -1.0462500000000001,
      -1.0350000000000001,
      -1.0237500000000002,
      -1.0125000000000002,
      -1.0012500000000002,
      -0.9900000000000002,
      -0.9787500000000002,
      -0.9675000000000002,
      -0.9562500000000003,
      -0.9450000000000003,
      -0.9337500000000003,
      -0.9225000000000003,
      -0.9112500000000003,
      -0.9000000000000004,
      -0.8887499999999999,
      -0.8775,
      -0.86625,
      -0.855,
      -0.84375,
      -0.8325,
      -0.82125,
      -0.81,
      -0.7987500000000001,
      -0.7875000000000001,
      -0.7762500000000001,
      -0.7650000000000001,
      -0.7537500000000001,
      -0.7425000000000002,
      -0.7312500000000002,
      -0.7200000000000002,
      -0.7087500000000002,
      -0.6975000000000002,
      -0.6862500000000002,
      -0.6750000000000003,
      -0.6637500000000003,
      -0.6525000000000003,
      -0.6412500000000003,
      -0.6300000000000003,
      -0.6187500000000004,
      -0.6074999999999999,
      -0.59625,
      -0.585,
      -0.57375,
      -0.5625,
      -0.55125,
      -0.54,
      -0.52875,
      -0.5175000000000001,
      -0.5062500000000001,
      -0.4950000000000001,
      -0.48375000000000057,
      -0.47250000000000014,
      -0.4612499999999997,
      -0.4500000000000002,
      -0.43874999999999975,
      -0.4275000000000002,
      -0.4162499999999998,
      -0.40500000000000025,
      -0.3937499999999998,
      -0.3825000000000003,
      -0.37124999999999986,
      -0.3600000000000003,
      -0.3487499999999999,
      -0.33750000000000036,
      -0.32624999999999993,
      -0.3150000000000004,
      -0.30374999999999996,
      -0.2925000000000004,
      -0.28125,
      -0.27000000000000046,
      -0.25875000000000004,
      -0.2475000000000005,
      -0.23625000000000007,
      -0.22500000000000053,
      -0.2137500000000001,
      -0.20250000000000057,
      -0.19125000000000014,
      -0.17999999999999972,
      -0.16875000000000018,
      -0.15749999999999975,
      -0.1462500000000002,
      -0.1349999999999998,
      -0.12375000000000025,
      -0.11249999999999982,
      -0.10125000000000028,
      -0.08999999999999986,
      -0.07875000000000032,
      -0.0674999999999999,
      -0.056250000000000355,
      -0.04499999999999993,
      -0.03375000000000039,
      -0.022499999999999964,
      -0.011250000000000426,
      0.0,
      0.011249999999999538,
      0.022499999999999964,
      0.0337499999999995,
      0.04499999999999993,
      0.05624999999999947,
      0.0674999999999999,
      0.07874999999999943,
      0.08999999999999986,
      0.1012499999999994,
      0.11249999999999982,
      0.12375000000000025,
      0.1349999999999998,
      0.1462500000000002,
      0.15749999999999975,
      0.16875000000000018,
      0.17999999999999972,
      0.19125000000000014,
      0.20249999999999968,
      0.2137500000000001,
      0.22499999999999964,
      0.23625000000000007,
      0.2474999999999996,
      0.25875000000000004,
      0.2699999999999996,
      0.28125,
      0.29249999999999954,
      0.30374999999999996,
      0.3149999999999995,
      0.32624999999999993,
      0.33749999999999947,
      0.3487499999999999,
      0.35999999999999943,
      0.37124999999999986,
      0.3824999999999994,
      0.3937499999999998,
      0.40500000000000025,
      0.4162499999999998,
      0.4275000000000002,
      0.43874999999999975,
      0.4500000000000002,
      0.4612499999999997,
      0.47250000000000014,
      0.4837499999999997,
      0.4950000000000001,
      0.5062499999999996,
      0.5175000000000001,
      0.5287499999999996,
      0.54,
      0.5512499999999996,
      0.5625,
      0.5737499999999995,
      0.585,
      0.5962499999999995,
      0.6074999999999999,
      0.6187499999999995,
      0.6299999999999999,
      0.6412499999999994,
      0.6524999999999999,
      0.6637499999999994,
      0.6749999999999998,
      0.6862500000000002,
      0.6974999999999998,
      0.7087500000000002,
      0.7199999999999998,
      0.7312500000000002,
      0.7424999999999997,
      0.7537500000000001,
      0.7649999999999997,
      0.7762500000000001,
      0.7874999999999996,
      0.7987500000000001,
      0.8099999999999996,
      0.82125,
      0.8324999999999996,
      0.84375,
      0.8549999999999995,
      0.86625,
      0.8774999999999995,
      0.8887499999999999,
      0.8999999999999995,
      0.9112499999999999,
      0.9224999999999994,
      0.9337499999999999,
      0.9449999999999994,
      0.9562499999999998,
      0.9674999999999994,
      0.9787499999999998,
      0.9900000000000002,
      1.0012499999999998,
      1.0125000000000002,
      1.0237499999999997,
      1.0350000000000001,
      1.0462499999999997,
      1.0575,
      1.0687499999999996,
      1.08,
      1.0912499999999996,
      1.1025,
      1.1137499999999996,
      1.125,
      1.1362499999999995,
      1.1475,
      1.1587499999999995,
      1.17,
      1.1812499999999995,
      1.1925,
      1.2037499999999994,
      1.2149999999999999,
      1.2262499999999994,
      1.2374999999999998,
      1.2487499999999994,
      1.2599999999999998,
      1.2712500000000002,
      1.2824999999999998,
      1.2937500000000002,
      1.3049999999999997,
      1.3162500000000001,
      1.3274999999999997,
      1.33875,
      1.3499999999999996,
      1.36125,
      1.3724999999999996,
      1.38375,
      1.3949999999999996,
      1.40625,
      1.4174999999999995,
      1.42875,
      1.4399999999999995,
      1.45125,
      1.4624999999999995,
      1.47375,
      1.4849999999999994,
      1.4962499999999999,
      1.5074999999999994,
      1.5187499999999998,
      1.5299999999999994,
      1.5412499999999998,
      1.5525000000000002,
      1.5637499999999998,
      1.5750000000000002,
      1.5862499999999997,
      1.5975000000000001,
      1.6087499999999997,
      1.62,
      1.6312499999999996,
      1.6425,
      1.6537499999999996,
      1.665,
      1.6762499999999996,
      1.6875,
      1.6987499999999995,
      1.71,
      1.7212499999999995,
      1.7325,
      1.7437499999999995,
      1.755,
      1.7662499999999994,
      1.7774999999999999,
      1.7887499999999994,
      1.7999999999999998,
      1.8112499999999994,
      1.8224999999999998,
      1.8337499999999993,
      1.8449999999999998,
      1.8562500000000002,
      1.8674999999999997,
      1.8787500000000001,
      1.8899999999999997,
      1.90125,
      1.9124999999999996,
      1.92375,
      1.9349999999999996,
      1.94625,
      1.9574999999999996,
      1.96875,
      1.9799999999999995,
      1.99125,
      2.0024999999999995,
      2.01375,
      2.0249999999999995,
      2.03625,
      2.0474999999999994,
      2.05875,
      2.0699999999999994,
      2.08125,
      2.0924999999999994,
      2.10375,
      2.1149999999999993,
      2.1262499999999998,
      2.1375,
      2.1487499999999997,
      2.16,
      2.1712499999999997,
      2.1825,
      2.1937499999999996,
      2.205,
      2.2162499999999996,
      2.2275,
      2.2387499999999996,
      2.25,
      2.2612499999999995,
      2.2725,
      2.2837499999999995,
      2.295,
      2.3062499999999995,
      2.3175,
      2.3287499999999994,
      2.34,
      2.3512499999999994,
      2.3625,
      2.3737499999999994,
      2.385,
      2.3962499999999993,
      2.4074999999999998,
      2.41875,
      2.4299999999999997,
      2.44125,
      2.4524999999999997,
      2.46375,
      2.4749999999999996,
      2.48625,
      2.4974999999999996,
      2.50875,
      2.5199999999999996,
      2.53125,
      2.5424999999999995,
      2.55375,
      2.5649999999999995,
      2.57625,
      2.5874999999999995,
      2.59875,
      2.6099999999999994,
      2.62125,
      2.6324999999999994,
      2.64375,
      2.6549999999999994,
      2.66625,
      2.6774999999999993,
      2.6887499999999998,
      2.6999999999999993,
      2.7112499999999997,
      2.7225,
      2.7337499999999997,
      2.745,
      2.7562499999999996,
      2.7675,
      2.7787499999999996,
      2.79,
      2.8012499999999996,
      2.8125,
      2.8237499999999995,
      2.835,
      2.8462499999999995,
      2.8575,
      2.8687499999999995,
      2.88,
      2.8912499999999994,
      2.9025,
      2.9137499999999994,
      2.925,
      2.9362499999999994,
      2.9475,
      2.9587499999999993,
      2.9699999999999998,
      2.9812499999999993,
      2.9924999999999997,
      3.00375,
      3.0149999999999997,
      3.02625,
      3.0374999999999996,
      3.04875,
      3.0599999999999996,
      3.07125,
      3.0824999999999996,
      3.09375,
      3.1049999999999995,
      3.11625,
      3.1274999999999995,
      3.13875,
      3.1499999999999995,
      3.16125,
      3.1724999999999994,
      3.18375,
      3.1949999999999994,
      3.20625,
      3.2174999999999994,
      3.22875,
      3.2399999999999993,
      3.2512499999999998,
      3.2624999999999993,
      3.2737499999999997,
      3.285,
      3.2962499999999997,
      3.3075,
      3.3187499999999996,
      3.33,
      3.3412499999999996,
      3.3525,
      3.3637499999999996,
      3.375,
      3.3862499999999995,
      3.3975,
      3.4087499999999995,
      3.42,
      3.4312499999999995,
      3.4425,
      3.4537499999999994,
      3.465,
      3.4762499999999994,
      3.4875,
      3.4987499999999994,
      3.51,
      3.52125,
      3.532499999999999,
      3.5437499999999993,
      3.5549999999999997,
      3.56625,
      3.5775000000000006,
      3.588749999999999,
      3.5999999999999996,
      3.61125,
      3.6225000000000005,
      3.633749999999999,
      3.6449999999999996,
      3.65625,
      3.6675000000000004,
      3.678749999999999,
      3.6899999999999995,
      3.70125,
      3.7125000000000004,
      3.723749999999999,
      3.7349999999999994,
      3.74625,
      3.7575000000000003,
      3.768749999999999,
      3.7799999999999994,
      3.79125,
      3.8025,
      3.813749999999999,
      3.8249999999999993,
      3.8362499999999997,
      3.8475,
      3.8587500000000006,
      3.869999999999999,
      3.8812499999999996,
      3.8925,
      3.9037500000000005,
      3.914999999999999,
      3.9262499999999996,
      3.9375,
      3.9487500000000004,
      3.959999999999999,
      3.9712499999999995,
      3.9825,
      3.9937500000000004,
      4.004999999999999,
      4.016249999999999,
      4.0275,
      4.03875,
      4.049999999999999,
      4.061249999999999,
      4.0725,
      4.08375,
      4.094999999999999,
      4.106249999999999,
      4.1175,
      4.12875,
      4.140000000000001,
      4.151249999999999,
      4.1625,
      4.17375,
      4.1850000000000005,
      4.196249999999999,
      4.2075,
      4.21875,
      4.23,
      4.241249999999999,
      4.2524999999999995,
      4.26375,
      4.275,
      4.286249999999999,
      4.297499999999999,
      4.30875,
      4.32,
      4.331249999999999,
      4.342499999999999,
      4.35375,
      4.365,
      4.376249999999999,
      4.387499999999999,
      4.39875,
      4.41,
      4.421249999999999,
      4.432499999999999,
      4.44375,
      4.455,
      4.4662500000000005,
      4.477499999999999,
      4.48875,
      4.5
    ],
    "normal_density": [
      1.5983741106905478e-05,
      1.681268638688876e-05,
      1.768238417702648e-05,
      1.8594716728392793e-05,
      1.9551646928683098e-05,
      2.0555221443491716e-05,
      2.1607573965082752e-05,
      2.2710928571658707e-05,
      2.38676032001796e-05,
      2.508001323584517e-05,
      2.6350675221399427e-05,
      2.7682210689475222e-05,
      2.9077350121242514e-05,
      3.053893703468084e-05,
      3.206993220584068e-05,
      3.367341802651353e-05,
      3.5352603001773097e-05,
      3.711082639090183e-05,
      3.8951562995257985e-05,
      4.0878428096688514e-05,
      4.2895182550127204e-05,
      4.500573803407033e-05,
      4.721416246264777e-05,
      4.95246855630582e-05,
      5.1941704622159776e-05,
      5.446979040605383e-05,
      5.7113693256515304e-05,
      5.9878349368166265e-05,
      6.276888725030454e-05,
      6.579063437732386e-05,
      6.894912403168848e-05,
      7.225010234343008e-05,
      7.569953553016121e-05,
      7.930361734159742e-05,
      8.306877671259647e-05,
      8.700168562871578e-05,
      9.11092672082996e-05,
      9.539870400508429e-05,
      9.987744653532194e-05,
      0.00010455322203338232,
      0.00010943404343980055,
      0.00011452821862568391,
      0.00011984435985739001,
      0.00012539139350532712,
      0.0001311785700007108,
      0.0001372154740440356,
      0.00014351203506900024,
      0.00015007853796553458,
      0.00015692563406553226,
      0.00016406435239480768,
      0.0001715061111947235,
      0.0001792627297168433,
      0.00018734644029387237,
      0.00019576990069004475,
      0.00020454620673400925,
      0.00021368890523714337,
      0.0002232120072001021,
      0.00023313000131027005,
      0.00024345786773264608,
      0.00025421109219653053,
      0.0002654056803802283,
      0.00027705817259580717,
      0.00028918565877576475,
      0.0003018057937632844,
      0.00031493681290752155,
      0.00032859754796520297,
      0.0003428074433095406,
      0.00035758657244728534,
      0.00037295565484444653,
      0.00038893607306100315,
      0.00040554989019461426,
      0.0004228198676330976,
      0.0004407694831151325,
      0.0004594229490983511,
      0.00047880523143366456,
      0.000498942068344346,
      0.0005198599897080555,
      0.0005415863366396392,
      0.0005641492813721664,
      0.000587577847433312,
      0.0006119019301137719,
      0.0006371523172240274,
      0.000663360710135344,
      0.0006905597451004611,
      0.0007187830148490034,
      0.0007480650904521717,
      0.0007784415434508215,
      0.0008099489682405473,
      0.0008426250047069028,
      0.0008765083611033736,
      0.0009116388371642391,
      0.0009480573474438324,
      0.0009858059448733156,
      0.0010249278445253515,
      0.0010654674475766705,
      0.0011074703654577562,
      0.0011509834441784845,
      0.0011960547888177347,
      0.0012427337881645783,
      0.0012910711394978497,
      0.0013411188734903778,
      0.0013929303792234527,
      0.0014465604292964633,
      0.0015020652050159555,
      0.0015595023216476915,
      0.0016189308537145884,
      0.0016804113603227347,
      0.0017440059104969542,
      0.0018097781085066817,
      0.001877793119162191,
      0.0019481176930604815,
      0.0020208201917594273,
      0.002095970612857942,
      0.002173640614959381,
      0.002253903542494324,
      0.002336834450378551,
      0.002422510128480785,
      0.0025110091258744986,
      0.002602411774846872,
      0.0026968002146376493,
      0.0027942584148794424,
      0.0028948721987107667,
      0.0029987292655317675,
      0.0031059192133724525,
      0.0032165335608419264,
      0.0033306657686267864,
      0.003448411260505927,
      0.0035698674438482277,
      0.003695133729559035,
      0.0038243115514404666,
      0.003957504384929977,
      0.0040948177651808654,
      0.004236359304447791,
      0.0043822387087396305,
      0.004532567793701422,
      0.0046874604996864355,
      0.004847032905978953,
      0.005011403244127449,
      0.005180691910347761,
      0.0053550214769546795,
      0.005534516702780502,
      0.0057193045425380255,
      0.005909514155085483,
      0.006105276910549941,
      0.0063067263962659275,
      0.006513998421484862,
      0.006727231020811393,
      0.006946564456321576,
      0.007172141218318287,
      0.00740410602467837,
      0.0076426058187464025,
      0.007887789765729278,
      0.008139809247546021,
      0.008398817856087048,
      0.008664971384836987,
      0.008938427818815316,
      0.009219347322788991,
      0.009507892227711442,
      0.009804227015342377,
      0.010108518301003155,
      0.010420934814422592,
      0.010741647378628543,
      0.011070828886840757,
      0.011408654277321332,
      0.011755300506138763,
      0.012110946517803436,
      0.012475773213731332,
      0.012849963418495203,
      0.013233701843821355,
      0.01362717505029286,
      0.014030571406718872,
      0.014444081047132771,
      0.01486789582538062,
      0.015302209267264777,
      0.01574721652020631,
      0.016203114300393225,
      0.016670100837381057,
      0.017148375816114784,
      0.017638140316341932,
      0.018139596749388375,
      0.018652948792269905,
      0.019178401319114153,
      0.0197161603298692,
      0.020266432876277118,
      0.020829426985092186,
      0.021405351578525838,
      0.021994416391902062,
      0.022596831888509195,
      0.023212809171636116,
      0.023842559893783123,
      0.02448629616303993,
      0.025144230446625598,
      0.02581657547158769,
      0.026503544122660337,
      0.027205349337283552,
      0.027922203997788473,
      0.028654320820756266,
      0.029401912243560823,
      0.03016519030810847,
      0.030944366541790513,
      0.03173965183566742,
      0.03255125631990667,
      0.03337938923649894,
      0.03422425880928065,
      0.035086072111293866,
      0.03596503492951789,
      0.03686135162701005,
      0.03777522500249627,
      0.03870685614745561,
      0.039656444300746205,
      0.04062418670082333,
      0.04161027843560365,
      0.04261491229003376,
      0.04363827859142354,
      0.044680565052609394,
      0.045741956613015264,
      0.04682263527768313,
      0.04792277995434812,
      0.049042566288637165,
      0.05018216649747288,
      0.051341749200769456,
      0.052521479251509025,
      0.053721517564291645,
      0.05494202094245571,
      0.05618314190386805,
      0.05744502850548769,
      0.058727824166809724,
      0.060031667492299746,
      0.061356692092932485,
      0.06270302640695158,
      0.06407079351997094,
      0.06546011098454105,
      0.06687109063930714,
      0.06830383842788905,
      0.06975845421761578,
      0.07123503161825083,
      0.07273365780084667,
      0.07425441331687115,
      0.07579737191774918,
      0.07736260037496785,
      0.07895015830089412,
      0.08056009797045774,
      0.08219246414385387,
      0.08384729389042231,
      0.08552461641386264,
      0.08722445287894573,
      0.08894681623988597,
      0.09069171107053722,
      0.09245913339658068,
      0.09424907052987133,
      0.09606150090511335,
      0.09789639391903429,
      0.09975370977223008,
      0.10163339931385347,
      0.10353540388931906,
      0.10545965519119901,
      0.1074060751134838,
      0.10937457560938271,
      0.11136505855283874,
      0.11337741560393248,
      0.11541152807834995,
      0.11746726682108741,
      0.11954449208456715,
      0.12164305341133681,
      0.12376278952152307,
      0.1259035282052108,
      0.12806508621991586,
      0.1302472691933192,
      0.13244987153142787,
      0.13467267633232616,
      0.13691545530567767,
      0.139177968698139,
      0.1414599652248388,
      0.14376118200707788,
      0.14608134451639956,
      0.1484201665251779,
      0.15077735006386792,
      0.15315258538505755,
      0.15554555093445807,
      0.1579559133289653,
      0.1603833273419196,
      0.16282743589568877,
      0.16528787006169274,
      0.16776424906798407,
      0.17025618031449452,
      0.17276325939605083,
      0.17528507013325925,
      0.17782118461135152,
      0.18037116322708027,
      0.18293455474374534,
      0.18551089635442608,
      0.18809971375348997,
      0.19070052121643927,
      0.19331282168815325,
      0.19593610687957463,
      0.19856985737288413,
      0.2012135427351974,
      0.2038666216408156,
      0.20652854200204832,
      0.2091987411086247,
      0.21187664577569948,
      0.2145616725004518,
      0.21725322762726976,
      0.21995070752150314,
      0.22265349875176116,
      0.22536097828072182,
      0.22807251366441447,
      0.230787463259926,
      0.2335051764414748,
      0.23622499382478912,
      0.2389462474997155,
      0.24166826127097812,
      0.24439035090699954,
      0.24711182439668503,
      0.24983198221406672,
      0.25255011759069224,
      0.2552655167956373,
      0.25797745942301237,
      0.2606852186868241,
      0.2633880617230478,
      0.26608524989875476,
      0.2687760391281341,
      0.2714596801952378,
      0.2741354190832745,
      0.27680249731026274,
      0.2794601522708544,
      0.28210761758412733,
      0.284744123447139,
      0.2873688969940283,
      0.28998116266044277,
      0.2925801425530638,
      0.2951650568239945,
      0.29773512404976943,
      0.30028956161473797,
      0.3028275860985677,
      0.3053484136676088,
      0.30785126046985295,
      0.3103353430332173,
      0.31279987866687675,
      0.3152440858653634,
      0.3176671847151482,
      0.32006839730341363,
      0.32244694812872404,
      0.32480206451329424,
      0.3271329770165544,
      0.3294389198497069,
      0.33171913129096425,
      0.3339728541011584,
      0.3361993359394074,
      0.3383978297785211,
      0.3405675943198307,
      0.3427078944071191,
      0.3448180014393334,
      0.34689719378175604,
      0.3489447571753123,
      0.3509599851436901,
      0.3529421793979503,
      0.35489065023830313,
      0.35680471695272964,
      0.3586837082121253,
      0.36052696246164795,
      0.3623338283079496,
      0.36410366490197615,
      0.3658358423170226,
      0.36752974192172844,
      0.36918475674770956,
      0.37080029185151625,
      0.3723757646706201,
      0.37391060537312837,
      0.3754042572009351,
      0.3768561768060176,
      0.37826583457959656,
      0.3796327149738784,
      0.38095631681610875,
      0.3822361536146673,
      0.38347175385694454,
      0.38466266129874277,
      0.38580843524495545,
      0.38690865082128056,
      0.3879628992367364,
      0.3889707880367494,
      0.3899319413465984,
      0.3908460001050004,
      0.39171262228763765,
      0.39253148312042896,
      0.39330227528236056,
      0.394024709097699,
      0.3946985127174164,
      0.3953234322896713,
      0.39589923211919337,
      0.3964256948154331,
      0.3969026214293456,
      0.39732983157868834,
      0.3977071635617219,
      0.3980344744592142,
      0.3983116402246567,
      0.3985385557626147,
      0.3987151349951413,
      0.3988413109161957,
      0.3989170356340197,
      0.3989422804014327,
      0.3989170356340197,
      0.3988413109161957,
      0.3987151349951413,
      0.3985385557626147,
      0.3983116402246567,
      0.3980344744592142,
      0.397707163561722,
      0.39732983157868834,
      0.3969026214293457,
      0.3964256948154331,
      0.39589923211919337,
      0.3953234322896713,
      0.3946985127174164,
      0.394024709097699,
      0.39330227528236056,
      0.39253148312042896,
      0.39171262228763765,
      0.3908460001050005,
      0.3899319413465984,
      0.3889707880367495,
      0.3879628992367364,
      0.3869086508212806,
      0.38580843524495545,
      0.3846626612987429,
      0.38347175385694454,
      0.3822361536146674,
      0.38095631681610875,
      0.3796327149738785,
      0.37826583457959656,
      0.3768561768060177,
      0.3754042572009351,
      0.3739106053731285,
      0.3723757646706201,
      0.37080029185151636,
      0.36918475674770956,
      0.36752974192172844,
      0.3658358423170226,
      0.36410366490197615,
      0.3623338283079496,
      0.36052696246164795,
      0.3586837082121253,
      0.35680471695272964,
      0.35489065023830324,
      0.3529421793979503,
      0.35095998514369015,
      0.3489447571753123,
      0.34689719378175615,
      0.3448180014393334,
      0.3427078944071192,
      0.3405675943198307,
      0.33839782977852123,
      0.3361993359394074,
      0.3339728541011585,
      0.33171913129096425,
      0.3294389198497071,
      0.3271329770165545,
      0.3248020645132944,
      0.32244694812872415,
      0.32006839730341385,
      0.3176671847151483,
      0.3152440858653634,
      0.31279987866687686,
      0.3103353430332173,
      0.307851260469853,
      0.3053484136676088,
      0.30282758609856786,
      0.30028956161473797,
      0.29773512404976954,
      0.2951650568239945,
      0.29258014255306386,
      0.28998116266044277,
      0.28736889699402846,
      0.284744123447139,
      0.2821076175841274,
      0.2794601522708544,
      0.27680249731026285,
      0.2741354190832745,
      0.2714596801952379,
      0.2687760391281341,
      0.266085249898755,
      0.2633880617230479,
      0.2606852186868243,
      0.2579774594230125,
      0.2552655167956375,
      0.2525501175906923,
      0.2498319822140669,
      0.24711182439668516,
      0.24439035090699954,
      0.24166826127097826,
      0.2389462474997155,
      0.23622499382478923,
      0.2335051764414748,
      0.23078746325992608,
      0.22807251366441447,
      0.2253609782807219,
      0.22265349875176116,
      0.21995070752150325,
      0.21725322762726976,
      0.21456167250045188,
      0.21187664577569948,
      0.20919874110862482,
      0.20652854200204832,
      0.20386662164081568,
      0.2012135427351974,
      0.1985698573728842,
      0.19593610687957472,
      0.19331282168815347,
      0.19070052121643938,
      0.18809971375349016,
      0.1855108963544262,
      0.18293455474374554,
      0.18037116322708038,
      0.17782118461135152,
      0.17528507013325936,
      0.17276325939605083,
      0.1702561803144946,
      0.16776424906798407,
      0.16528787006169282,
      0.16282743589568877,
      0.16038332734191968,
      0.1579559133289653,
      0.15554555093445818,
      0.15315258538505755,
      0.15077735006386803,
      0.1484201665251779,
      0.14608134451639967,
      0.14376118200707788,
      0.14145996522483892,
      0.139177968698139,
      0.13691545530567778,
      0.13467267633232616,
      0.13244987153142807,
      0.13024726919331928,
      0.128065086219916,
      0.1259035282052109,
      0.12376278952152325,
      0.1216430534113369,
      0.11954449208456715,
      0.11746726682108748,
      0.11541152807834995,
      0.11337741560393257,
      0.11136505855283874,
      0.10937457560938281,
      0.1074060751134838,
      0.10545965519119908,
      0.10353540388931906,
      0.10163339931385354,
      0.09975370977223008,
      0.09789639391903435,
      0.09606150090511335,
      0.0942490705298714,
      0.09245913339658068,
      0.09069171107053732,
      0.08894681623988597,
      0.08722445287894581,
      0.08552461641386264,
      0.08384729389042245,
      0.08219246414385394,
      0.08056009797045786,
      0.07895015830089419,
      0.07736260037496799,
      0.07579737191774925,
      0.07425441331687127,
      0.07273365780084674,
      0.07123503161825083,
      0.06975845421761585,
      0.06830383842788905,
      0.06687109063930718,
      0.06546011098454105,
      0.064070793519971,
      0.06270302640695158,
      0.06135669209293254,
      0.060031667492299746,
      0.05872782416680978,
      0.05744502850548769,
      0.0561831419038681,
      0.05494202094245571,
      0.053721517564291686,
      0.052521479251509025,
      0.0513417492007695,
      0.05018216649747288,
      0.04904256628863721,
      0.04792277995434818,
      0.04682263527768321,
      0.0457419566130153,
      0.04468056505260948,
      0.04363827859142358,
      0.04261491229003383,
      0.041610278435603686,
      0.04062418670082333,
      0.03965644430074626,
      0.03870685614745561,
      0.037775225002496304,
      0.03686135162701005,
      0.03596503492951793,
      0.035086072111293866,
      0.03422425880928069,
      0.03337938923649894,
      0.0325512563199067,
      0.03173965183566742,
      0.03094436654179055,
      0.03016519030810847,
      0.02940191224356085,
      0.028654320820756266,
      0.0279222039977885,
      0.027205349337283552,
      0.02650354412266036,
      0.02581657547158769,
      0.025144230446625643,
      0.024486296163039965,
      0.023842559893783175,
      0.023212809171636133,
      0.022596831888509243,
      0.02199441639190209,
      0.021405351578525838,
      0.020829426985092204,
      0.020266432876277118,
      0.01971616032986922,
      0.019178401319114153,
      0.018652948792269922,
      0.018139596749388375,
      0.017638140316341946,
      0.017148375816114784,
      0.016670100837381078,
      0.016203114300393225,
      0.015747216520206334,
      0.015302209267264777,
      0.014867895825380653,
      0.014444081047132771,
      0.014030571406718902,
      0.01362717505029286,
      0.013233701843821387,
      0.012849963418495203,
      0.01247577321373136,
      0.012110946517803436,
      0.011755300506138789,
      0.011408654277321332,
      0.011070828886840786,
      0.010741647378628543,
      0.010420934814422614,
      0.010108518301003169,
      0.009804227015342377,
      0.009507892227711456,
      0.009219347322788991,
      0.008938427818815329,
      0.008664971384836987,
      0.008398817856087058,
      0.008139809247546021,
      0.007887789765729288,
      0.0076426058187464025,
      0.007404106024678377,
      0.007172141218318287,
      0.006946564456321589,
      0.006727231020811393,
      0.006513998421484878,
      0.0063067263962659275,
      0.006105276910549957,
      0.005909514155085483,
      0.00571930454253804,
      0.005534516702780502,
      0.005355021476954693,
      0.005180691910347761,
      0.005011403244127462,
      0.004847032905978953,
      0.004687460499686448,
      0.004532567793701425,
      0.0043822387087396305,
      0.0042363593044477945,
      0.0040948177651808654,
      0.003957504384929981,
      0.0038243115514404666,
      0.0036951337295590384,
      0.0035698674438482277,
      0.0034484112605059295,
      0.0033306657686267864,
      0.003216533560841929,
      0.0031059192133724525,
      0.0029987292655317722,
      0.0028948721987107667,
      0.0027942584148794524,
      0.0026968002146376493,
      0.002602411774846879,
      0.0025110091258744986,
      0.0024225101284807912,
      0.002336834450378551,
      0.00225390354249433,
      0.002173640614959381,
      0.0020959706128579492,
      0.0020208201917594273,
      0.0019481176930604865,
      0.001877793119162191,
      0.0018097781085066817,
      0.0017440059104969572,
      0.0016804113603227347,
      0.0016189308537145912,
      0.0015595023216476915,
      0.0015020652050159581,
      0.0014465604292964633,
      0.001392930379223455,
      0.0013411188734903778,
      0.0012910711394978518,
      0.0012427337881645783,
      0.001196054788817736,
      0.0011509834441784845,
      0.00110747036545776,
      0.0010654674475766705,
      0.0010249278445253552,
      0.0009858059448733156,
      0.0009480573474438356,
      0.0009116388371642391,
      0.0008765083611033766,
      0.0008426250047069028,
      0.0008099489682405473,
      0.0007784415434508256,
      0.0007480650904521743,
      0.0007187830148490046,
      0.0006905597451004611,
      0.0006633607101353428,
      0.0006371523172240297,
      0.0006119019301137731,
      0.000587577847433312,
      0.0005641492813721653,
      0.0005415863366396406,
      0.0005198599897080565,
      0.000498942068344346,
      0.0004788052314336637,
      0.0004594229490983527,
      0.00044076948311513333,
      0.0004228198676330976,
      0.0004055498901946135,
      0.0003889360730610045,
      0.0003729556548444472,
      0.00035758657244728534,
      0.0003428074433095406,
      0.00032859754796520416,
      0.00031493681290752236,
      0.0003018057937632844,
      0.00028918565877576475,
      0.00027705817259580815,
      0.00026540568038022923,
      0.00025421109219653096,
      0.00024345786773264608,
      0.00023313000131026967,
      0.00022321200720010285,
      0.00021368890523714375,
      0.00020454620673400925,
      0.0001957699006900444,
      0.00018734644029387302,
      0.00017926272971684364,
      0.0001715061111947235,
      0.0001640643523948074,
      0.00015692563406553283,
      0.00015007853796553485,
      0.00014351203506900024,
      0.00013721547404403536,
      0.00013117857000071126,
      0.00012539139350532759,
      0.00011984435985739001,
      0.00011452821862568391,
      0.00010943404343980095,
      0.00010455322203338269,
      9.987744653532194e-05,
      9.539870400508429e-05,
      9.110926720829993e-05,
      8.700168562871609e-05,
      8.306877671259647e-05,
      7.930361734159742e-05,
      7.569953553016094e-05,
      7.225010234343034e-05,
      6.894912403168848e-05,
      6.579063437732386e-05,
      6.27688872503043e-05,
      5.987834936816648e-05,
      5.7113693256515304e-05,
      5.446979040605383e-05,
      5.1941704622159776e-05,
      4.952468556305837e-05,
      4.7214162462647934e-05,
      4.500573803407033e-05,
      4.2895182550127204e-05,
      4.0878428096688657e-05,
      3.8951562995258195e-05,
      3.711082639090183e-05,
      3.5352603001773097e-05,
      3.367341802651365e-05,
      3.2069932205840794e-05,
      3.053893703468084e-05,
      2.9077350121242514e-05,
      2.7682210689475324e-05,
      2.6350675221399518e-05,
      2.508001323584517e-05,
      2.38676032001796e-05,
      2.271092857165879e-05,
      2.1607573965082868e-05,
      2.0555221443491716e-05,
      1.9551646928683098e-05,
      1.8594716728392726e-05,
      1.7682384177026543e-05,
      1.681268638688876e-05,
      1.5983741106905478e-05
    ],
    "student_density": [
      0.001052817571510999,
      0.0010666753007989172,
      0.001080741695962776,
      0.0010950202724283938,
      0.0011095146107048131,
      0.0011242283576880518,
      0.0011391652279926718,
      0.0011543290053118692,
      0.0011697235438066385,
      0.0011853527695247408,
      0.0012012206818500875,
      0.0012173313549832833,
      0.0012336889394539614,
      0.0012502976636656954,
      0.001267161835474167,
      0.0012842858437993852,
      0.0013016741602726843,
      0.0013193313409193355,
      0.0013372620278775127,
      0.0013554709511545077,
      0.0013739629304209823,
      0.001392742876844138,
      0.0014118157949607002,
      0.001431186784590592,
      0.0014508610427922352,
      0.0014708438658604373,
      0.0014911406513677915,
      0.00151175690025063,
      0.0015326982189404943,
      0.0015539703215421933,
      0.0015755790320595012,
      0.0015975302866695384,
      0.0016198301360470413,
      0.0016424847477395184,
      0.0016655004085946038,
      0.0016888835272406508,
      0.0017126406366219198,
      0.0017367783965894722,
      0.0017613035965491565,
      0.0017862231581678952,
      0.0018115441381396722,
      0.0018372737310125473,
      0.0018634192720780964,
      0.001889988240324695,
      0.0019169882614561474,
      0.0019444271109770699,
      0.001972312717346635,
      0.0020006531652022024,
      0.0020294566986544162,
      0.002058731724655427,
      0.0020884868164419085,
      0.0021187307170545573,
      0.002149472342935832,
      0.0021807207876077253,
      0.002212485325431389,
      0.002244775415450461,
      0.002277600705320064,
      0.0023109710353233465,
      0.0023448964424776088,
      0.002379387164732107,
      0.0024144536452594847,
      0.0024501065368431264,
      0.0024863567063624827,
      0.0025232152393787175,
      0.0025606934448228185,
      0.002598802859788665,
      0.0026375552544332867,
      0.0026769626369868467,
      0.0027170372588748025,
      0.0027577916199547923,
      0.0027992384738708396,
      0.0028413908335275457,
      0.0028842619766870025,
      0.0029278654516911285,
      0.0029722150833123673,
      0.003017324978735542,
      0.0030632095336738862,
      0.003109883438622277,
      0.0031573616852506757,
      0.0032056595729410345,
      0.003254792715470811,
      0.003304777047846433,
      0.0033556288332899525,
      0.0034073646703825116,
      0.0034600015003679145,
      0.0035135566146199727,
      0.0035680476622772864,
      0.003623492658049121,
      0.0036799099901961554,
      0.0037373184286900833,
      0.003795737133555879,
      0.0038551856634008222,
      0.003915683984134384,
      0.003977252477883145,
      0.004039911952105028,
      0.004103683648907162,
      0.004168589254571899,
      0.0042346509092953365,
      0.0043018912171431745,
      0.004370333256228391,
      0.004440000589115665,
      0.004510917273457304,
      0.004583107872865736,
      0.004656597468027509,
      0.0047314116680640134,
      0.004807576622144121,
      0.004885119031354065,
      0.004964066160829954,
      0.0050444458521584495,
      0.005126286536051193,
      0.005209617245298619,
      0.005294467628009079,
      0.005380867961138897,
      0.005468849164319609,
      0.005558442813988185,
      0.005649681157826607,
      0.005742597129516798,
      0.005837224363817482,
      0.0059335972119691546,
      0.006031750757433885,
      0.006131720831976349,
      0.006233544032092914,
      0.006337257735795436,
      0.006442900119756702,
      0.006550510176824352,
      0.006660127733910334,
      0.0067717934702629665,
      0.006885548936128748,
      0.007001436571811102,
      0.007119499727133373,
      0.007239782681313431,
      0.007362330663257283,
      0.0074871898722790285,
      0.00761440749925492,
      0.007744031748218785,
      0.007876111858406627,
      0.008010698126757873,
      0.008147841930880972,
      0.00828759575249104,
      0.008430013201327111,
      0.008575149039556829,
      0.008723059206676003,
      0.008873800844911038,
      0.00902743232513142,
      0.009184013273280328,
      0.009343604597330385,
      0.009506268514772645,
      0.009672068580645543,
      0.009841069716111785,
      0.010013338237589845,
      0.010188941886447651,
      0.010367949859265063,
      0.010550432838672172,
      0.010736463024770024,
      0.010926114167140287,
      0.011119461597449991,
      0.011316582262657554,
      0.011517554758825854,
      0.011722459365547576,
      0.011931378080988563,
      0.012144394657553537,
      0.012361594638179086,
      0.012583065393257787,
      0.01280889615819749,
      0.013039178071618605,
      0.0132740042141928,
      0.01351346964812462,
      0.013757671457278605,
      0.01400670878795207,
      0.01426068289029497,
      0.014519697160375962,
      0.014783857182893899,
      0.015053270774533311,
      0.015328048027960995,
      0.015608301356460267,
      0.015894145539198993,
      0.01618569776712533,
      0.01648307768948535,
      0.01678640746095476,
      0.017095811789375828,
      0.017411417984089975,
      0.01773335600485438,
      0.018061758511329858,
      0.01839676091312626,
      0.018738501420388937,
      0.019087121094909617,
      0.01944276390174213,
      0.019805576761301874,
      0.020175709601926762,
      0.020553315412874123,
      0.020938550297726694,
      0.021331573528178695,
      0.02173254759817017,
      0.022141638278335336,
      0.02255901467072877,
      0.02298484926378971,
      0.023419317987502315,
      0.023862600268707013,
      0.024314879086514463,
      0.024776341027770574,
      0.02524717634251809,
      0.025727578999395935,
      0.026217746740914438,
      0.026717881138540546,
      0.02722818764752281,
      0.027748875661382337,
      0.028280158565991073,
      0.02882225379315409,
      0.029375382873608802,
      0.029939771489347903,
      0.030515649525168276,
      0.031103251119343273,
      0.03170281471330963,
      0.03231458310025451,
      0.03293880347248299,
      0.03357572746743982,
      0.03422561121225237,
      0.03488871536665624,
      0.03556530516415752,
      0.03625565045127877,
      0.0369600257247292,
      0.03767871016633063,
      0.03841198767552524,
      0.039160146899281746,
      0.03992348125920851,
      0.04070228897567471,
      0.04149687308873185,
      0.04230754147561808,
      0.043134606864620284,
      0.0439783868450593,
      0.04483920387315255,
      0.04571738527350256,
      0.04661326323594502,
      0.047527174807484765,
      0.048459461879034514,
      0.04941047116666293,
      0.050380554187046775,
      0.05137006722681204,
      0.05237937130543802,
      0.05340883213138748,
      0.0544588200511145,
      0.05552970999059187,
      0.05662188138898724,
      0.057735718124108,
      0.058871608429221754,
      0.06002994480084968,
      0.06121112389711952,
      0.06241554642625192,
      0.06364361702474537,
      0.0648957441248139,
      0.06617233981062033,
      0.06747381966283972,
      0.06880060259107665,
      0.07015311065365046,
      0.07153176886425568,
      0.07293700498499463,
      0.07436924930527118,
      0.0758289344060303,
      0.07731649490881805,
      0.07883236720913417,
      0.08037698919354111,
      0.08195079993999414,
      0.08355423940085062,
      0.08518774806801573,
      0.08685176661968275,
      0.08854673554812563,
      0.09027309476800516,
      0.09203128320465101,
      0.0938217383617924,
      0.09564489586821237,
      0.09750118900281174,
      0.09939104819758293,
      0.10131490051800003,
      0.10327316912035608,
      0.10526627268558715,
      0.10729462482915152,
      0.1093586334865493,
      0.11145870027409717,
      0.1135952198246001,
      0.11576857909759443,
      0.11797915666387207,
      0.12022732196403271,
      0.12251343454085432,
      0.1248378432453168,
      0.12720088541616326,
      0.1296028860329356,
      0.1320441568424808,
      0.13452499545898025,
      0.1370456844376262,
      0.13960649032213363,
      0.14220766266635318,
      0.14484943303032757,
      0.1475320139512165,
      0.15025559788960507,
      0.15302035615179907,
      0.1558264377888107,
      0.15867396847283624,
      0.16156304935213747,
      0.1644937558853424,
      0.16746613665630314,
      0.1704802121707623,
      0.17353597363620554,
      0.17663338172640367,
      0.17977236533228133,
      0.18295282030088192,
      0.18617460816433856,
      0.1894375548609015,
      0.1927414494502178,
      0.19608604282520498,
      0.19947104642301047,
      0.20289613093769754,
      0.20636092503745204,
      0.20986501408925512,
      0.21340793889411894,
      0.21698919443613657,
      0.22060822864874402,
      0.22426444120174371,
      0.2279571823127817,
      0.23168575158711704,
      0.23544939688965286,
      0.23924731325333928,
      0.24307864182817696,
      0.24694246887517388,
      0.2508378248097191,
      0.25476368329893523,
      0.25871896041766734,
      0.2627025138678445,
      0.266713142266019,
      0.27074958450394365,
      0.2748105191870847,
      0.27889456415599967,
      0.28300027609550826,
      0.2871261502365844,
      0.29127062015586047,
      0.29543205767759445,
      0.29960877288287385,
      0.3037990142307473,
      0.30800096879585526,
      0.312212762626998,
      0.316432461230917,
      0.32065807018538145,
      0.32488753588545805,
      0.3291187464266094,
      0.33334953262800093,
      0.33757766919910814,
      0.34180087605240084,
      0.3460168197645407,
      0.35022311518815813,
      0.35441732721588737,
      0.3585969726979122,
      0.36275952251384225,
      0.3669024037992682,
      0.3710230023268564,
      0.37511866504134367,
      0.37918670274725014,
      0.38322439294760074,
      0.38722898283136964,
      0.39119769240679564,
      0.3951277177771295,
      0.3990162345547733,
      0.40286040140917984,
      0.4066573637432656,
      0.41040425749248727,
      0.41409821304013283,
      0.41773635924176894,
      0.4213158275512095,
      0.4248337562397767,
      0.4282872947000789,
      0.43167360782497,
      0.4349898804518466,
      0.4382333218619297,
      0.4414011703237234,
      0.4444906976693939,
      0.44749921389242675,
      0.45042407175454485,
      0.4532626713895657,
      0.4560124648915872,
      0.45867096087467824,
      0.4612357289910601,
      0.46370440439465216,
      0.4660746921367712,
      0.46834437148077024,
      0.4705113001224345,
      0.4725734183030577,
      0.4745287528022766,
      0.4763754207979605,
      0.4781116335807292,
      0.47973570011100314,
      0.48124603040689207,
      0.4826411387516655,
      0.483919646710065,
      0.4850802859432673,
      0.4861219008129223,
      0.48704345076534467,
      0.4878440124876426,
      0.48852278182831066,
      0.489079075475601,
      0.489512332387802,
      0.4898221149704073,
      0.4900081099960294,
      0.4900701292638151,
      0.4900081099960294,
      0.4898221149704073,
      0.48951233238780206,
      0.489079075475601,
      0.48852278182831066,
      0.4878440124876426,
      0.48704345076534467,
      0.4861219008129223,
      0.48508028594326735,
      0.483919646710065,
      0.4826411387516655,
      0.48124603040689207,
      0.47973570011100314,
      0.4781116335807292,
      0.4763754207979605,
      0.4745287528022766,
      0.4725734183030577,
      0.47051130012243464,
      0.46834437148077024,
      0.46607469213677144,
      0.46370440439465216,
      0.4612357289910603,
      0.45867096087467824,
      0.4560124648915874,
      0.4532626713895657,
      0.45042407175454513,
      0.44749921389242675,
      0.4444906976693941,
      0.4414011703237234,
      0.4382333218619299,
      0.4349898804518466,
      0.4316736078249703,
      0.4282872947000789,
      0.424833756239777,
      0.4213158275512095,
      0.41773635924176894,
      0.41409821304013283,
      0.41040425749248727,
      0.4066573637432656,
      0.40286040140917984,
      0.3990162345547733,
      0.3951277177771295,
      0.3911976924067959,
      0.38722898283136964,
      0.38322439294760097,
      0.37918670274725014,
      0.3751186650413438,
      0.3710230023268564,
      0.3669024037992683,
      0.36275952251384225,
      0.3585969726979124,
      0.35441732721588737,
      0.3502231151881583,
      0.3460168197645407,
      0.34180087605240117,
      0.33757766919910837,
      0.3333495326280013,
      0.3291187464266095,
      0.3248875358854584,
      0.32065807018538167,
      0.316432461230917,
      0.31221276262699815,
      0.30800096879585526,
      0.30379901423074746,
      0.29960877288287385,
      0.29543205767759456,
      0.29127062015586047,
      0.28712615023658444,
      0.28300027609550826,
      0.27889456415599984,
      0.2748105191870847,
      0.27074958450394376,
      0.266713142266019,
      0.2627025138678446,
      0.25871896041766734,
      0.2547636832989354,
      0.2508378248097191,
      0.24694246887517401,
      0.24307864182817696,
      0.23924731325333962,
      0.23544939688965305,
      0.23168575158711732,
      0.22795718231278192,
      0.22426444120174396,
      0.22060822864874427,
      0.2169891944361368,
      0.21340793889411902,
      0.20986501408925512,
      0.20636092503745226,
      0.20289613093769754,
      0.19947104642301058,
      0.19608604282520498,
      0.19274144945021787,
      0.1894375548609015,
      0.1861746081643387,
      0.18295282030088192,
      0.17977236533228147,
      0.17663338172640367,
      0.17353597363620568,
      0.1704802121707623,
      0.16746613665630328,
      0.1644937558853424,
      0.16156304935213747,
      0.15867396847283624,
      0.15582643778881075,
      0.1530203561517992,
      0.15025559788960532,
      0.1475320139512167,
      0.14484943303032777,
      0.1422076626663533,
      0.13960649032213387,
      0.13704568443762633,
      0.13452499545898025,
      0.13204415684248094,
      0.1296028860329356,
      0.12720088541616326,
      0.1248378432453168,
      0.12251343454085444,
      0.12022732196403271,
      0.11797915666387218,
      0.11576857909759443,
      0.1135952198246002,
      0.11145870027409717,
      0.10935863348654941,
      0.10729462482915152,
      0.10526627268558723,
      0.10327316912035608,
      0.10131490051800011,
      0.09939104819758293,
      0.09750118900281184,
      0.09564489586821237,
      0.09382173836179258,
      0.09203128320465101,
      0.09027309476800523,
      0.0885467355481257,
      0.08685176661968282,
      0.08518774806801582,
      0.08355423940085062,
      0.08195079993999421,
      0.08037698919354111,
      0.07883236720913424,
      0.07731649490881805,
      0.0758289344060303,
      0.07436924930527118,
      0.07293700498499466,
      0.07153176886425568,
      0.07015311065365051,
      0.06880060259107665,
      0.06747381966283977,
      0.06617233981062033,
      0.0648957441248139,
      0.06364361702474537,
      0.062415546426251974,
      0.06121112389711952,
      0.06002994480084973,
      0.058871608429221754,
      0.057735718124108104,
      0.056621881388987286,
      0.05552970999059192,
      0.05445882005111455,
      0.05340883213138753,
      0.052379371305438065,
      0.05137006722681209,
      0.05038055418704682,
      0.04941047116666293,
      0.04845946187903455,
      0.047527174807484765,
      0.04661326323594506,
      0.04571738527350256,
      0.04483920387315259,
      0.0439783868450593,
      0.04313460686462037,
      0.04230754147561808,
      0.041496873088731887,
      0.04070228897567471,
      0.03992348125920851,
      0.039160146899281746,
      0.038411987675525276,
      0.03767871016633063,
      0.036960025724729235,
      0.03625565045127877,
      0.03556530516415752,
      0.03488871536665627,
      0.034225611212252434,
      0.033575727467439885,
      0.03293880347248305,
      0.03231458310025451,
      0.031702814713309685,
      0.03110325111934333,
      0.030515649525168276,
      0.02993977148934793,
      0.029375382873608802,
      0.02882225379315409,
      0.028280158565991073,
      0.027748875661382386,
      0.02722818764752281,
      0.026717881138540574,
      0.026217746740914438,
      0.025727578999395956,
      0.02524717634251809,
      0.024776341027770616,
      0.024314879086514463,
      0.023862600268707037,
      0.023419317987502315,
      0.02298484926378973,
      0.02255901467072877,
      0.022141638278335356,
      0.02173254759817017,
      0.021331573528178733,
      0.020938550297726694,
      0.020553315412874158,
      0.0201757096019268,
      0.01980557676130189,
      0.01944276390174213,
      0.019087121094909617,
      0.01873850142038895,
      0.01839676091312626,
      0.018061758511329892,
      0.01773335600485438,
      0.017411417984089975,
      0.017095811789375828,
      0.01678640746095477,
      0.01648307768948535,
      0.016185697767125345,
      0.015894145539198993,
      0.015608301356460267,
      0.015328048027960995,
      0.015053270774533339,
      0.014783857182893899,
      0.014519697160375976,
      0.01426068289029497,
      0.014006708787952083,
      0.013757671457278605,
      0.013513469648124658,
      0.0132740042141928,
      0.01303917807161863,
      0.01280889615819749,
      0.01258306539325781,
      0.012361594638179086,
      0.012144394657553556,
      0.011931378080988563,
      0.011722459365547576,
      0.011517554758825854,
      0.011316582262657554,
      0.011119461597449991,
      0.010926114167140287,
      0.010736463024770042,
      0.010550432838672172,
      0.010367949859265072,
      0.010188941886447651,
      0.010013338237589854,
      0.009841069716111785,
      0.00967206858064556,
      0.009506268514772645,
      0.009343604597330402,
      0.009184013273280328,
      0.009027432325131436,
      0.008873800844911038,
      0.008723059206676011,
      0.008575149039556829,
      0.008430013201327125,
      0.00828759575249104,
      0.00814784193088098,
      0.008010698126757873,
      0.007876111858406632,
      0.007744031748218785,
      0.00761440749925492,
      0.007487189872279035,
      0.007362330663257283,
      0.007239782681313445,
      0.007119499727133373,
      0.007001436571811108,
      0.006885548936128748,
      0.006771793470262973,
      0.006660127733910334,
      0.006550510176824352,
      0.006442900119756702,
      0.006337257735795447,
      0.006233544032092914,
      0.006131720831976355,
      0.006031750757433885,
      0.00593359721196916,
      0.005837224363817482,
      0.005742597129516803,
      0.005649681157826607,
      0.005558442813988195,
      0.005468849164319609,
      0.005380867961138906,
      0.005294467628009079,
      0.005209617245298628,
      0.005126286536051193,
      0.0050444458521584495,
      0.004964066160829958,
      0.004885119031354065,
      0.0048075766221441244,
      0.0047314116680640134,
      0.004656597468027509,
      0.004583107872865736,
      0.004510917273457309,
      0.004440000589115665,
      0.004370333256228391,
      0.0043018912171431745,
      0.0042346509092953365,
      0.004168589254571899,
      0.00410368364890717,
      0.004039911952105028,
      0.0039772524778831485,
      0.003915683984134384,
      0.0038551856634008257,
      0.003795737133555879,
      0.0037373184286900894,
      0.0036799099901961554,
      0.003623492658049121,
      0.003568047662277293,
      0.0035135566146199753,
      0.0034600015003679145,
      0.0034073646703825116,
      0.0033556288332899495,
      0.0033047770478464356,
      0.003254792715470817,
      0.0032056595729410345,
      0.0031573616852506757,
      0.0031098834386222847,
      0.0030632095336738945,
      0.003017324978735542,
      0.0029722150833123673,
      0.0029278654516911315,
      0.0028842619766870025,
      0.0028413908335275457,
      0.0027992384738708366,
      0.002757791619954797,
      0.0027170372588748055,
      0.0026769626369868467,
      0.0026375552544332867,
      0.00259880285978867,
      0.0025606934448228207,
      0.0025232152393787175,
      0.0024863567063624827,
      0.002450106536843131,
      0.002414453645259489,
      0.0023793871647321096,
      0.0023448964424776088,
      0.002310971035323342,
      0.00227760070532007,
      0.002244775415450463,
      0.002212485325431389,
      0.0021807207876077253,
      0.0021494723429358355,
      0.0021187307170545573,
      0.0020884868164419085,
      0.0020587317246554254,
      0.0020294566986544184,
      0.0020006531652022046,
      0.001972312717346635,
      0.0019444271109770681,
      0.001916988261456151,
      0.0018899882403246985,
      0.0018634192720780964,
      0.0018372737310125473,
      0.0018115441381396753,
      0.0017862231581678952,
      0.0017613035965491565,
      0.0017367783965894722,
      0.0017126406366219213,
      0.0016888835272406526,
      0.0016655004085946038,
      0.0016424847477395184,
      0.0016198301360470385,
      0.0015975302866695399,
      0.0015755790320595012,
      0.0015539703215421933,
      0.0015326982189404917,
      0.0015117569002506316,
      0.0014911406513677915,
      0.0014708438658604373,
      0.0014508610427922352,
      0.0014311867845905935,
      0.0014118157949607013,
      0.001392742876844138,
      0.0013739629304209823,
      0.001355470951154509,
      0.0013372620278775127,
      0.0013193313409193355,
      0.0013016741602726843,
      0.0012842858437993852,
      0.0012671618354741692,
      0.0012502976636656954,
      0.0012336889394539614,
      0.0012173313549832842,
      0.0012012206818500883,
      0.0011853527695247408,
      0.0011697235438066385,
      0.0011543290053118713,
      0.0011391652279926737,
      0.0011242283576880518,
      0.0011095146107048131,
      0.001095020272428393,
      0.001080741695962778,
      0.0010666753007989172,
      0.001052817571510999
    ],
    "normal_survival": [
      0.9999966023268753,
      0.999996417884317,
      0.9999962238886193,
      0.9999960198708028,
      0.9999958053402622,
      0.9999955797838416,
      0.9999953426648736,
      0.9999950934221813,
      0.9999948314690428,
      0.9999945561921142,
      0.9999942669503132,
      0.9999939630736597,
      0.999993643862072,
      0.9999933085841186,
      0.999992956475723,
      0.9999925867388199,
      0.9999921985399619,
      0.9999917910088751,
      0.9999913632369611,
      0.9999909142757442,
      0.9999904431352628,
      0.9999899487824024,
      0.9999894301391686,
      0.9999888860808979,
      0.9999883154344053,
      0.9999877169760661,
      0.9999870894298304,
      0.9999864314651672,
      0.9999857416949378,
      0.9999850186731951,
      0.9999842608929065,
      0.9999834667835994,
      0.9999826347089263,
      0.9999817629641471,
      0.9999808497735257,
      0.9999798932876416,
      0.999978891580609,
      0.9999778426472059,
      0.999976744399907,
      0.9999755946658209,
      0.9999743911835259,
      0.9999731315998048,
      0.9999718134662735,
      0.999970434235902,
      0.9999689912594257,
      0.9999674817816417,
      0.9999659029375905,
      0.9999642517486165,
      0.999962525118309,
      0.9999607198283154,
      0.9999588325340284,
      0.9999568597601411,
      0.9999547978960678,
      0.9999526431912275,
      0.9999503917501874,
      0.9999480395276622,
      0.9999455823233663,
      0.9999430157767161,
      0.9999403353613788,
      0.9999375363796644,
      0.9999346139567573,
      0.9999315630347845,
      0.9999283783667171,
      0.9999250545101015,
      0.9999215858206164,
      0.999917966445453,
      0.9999141903165147,
      0.9999102511434326,
      0.9999061424063929,
      0.9999018573487743,
      0.9998973889695904,
      0.9998927300157333,
      0.9998878729740177,
      0.999882810063018,
      0.9998775332246983,
      0.99987203411583,
      0.9998663040991952,
      0.9998603342345697,
      0.9998541152694855,
      0.9998476376297678,
      0.9998408914098424,
      0.9998338663628128,
      0.9998265518903,
      0.9998189370320466,
      0.9998110104552771,
      0.9998027604438156,
      0.9997941748869545,
      0.9997852412680744,
      0.999775946653009,
      0.9997662776781552,
      0.9997562205383247,
      0.999745760974333,
      0.9997348842603256,
      0.9997235751908382,
      0.9997118180675874,
      0.9996995966859915,
      0.9996868943214188,
      0.9996736937151607,
      0.9996599770601288,
      0.9996457259862738,
      0.999630921545725,
      0.9996155441976491,
      0.9995995737928273,
      0.999582989557948,
      0.9995657700796183,
      0.9995478932880887,
      0.999529336440694,
      0.99951007610501,
      0.9994900881417235,
      0.9994693476872193,
      0.9994478291358816,
      0.999425506122112,
      0.9994023515020656,
      0.9993783373351046,
      0.9993534348649724,
      0.9993276145006891,
      0.9993008457971705,
      0.9992730974355738,
      0.9992443372033708,
      0.999214531974153,
      0.9991836476871715,
      0.9991516493266143,
      0.9991185009006266,
      0.999084165420076,
      0.9990486048770698,
      0.9990117802232263,
      0.9989736513477083,
      0.9989341770550224,
      0.9988933150425907,
      0.9988510218781019,
      0.9988072529766473,
      0.9987619625776503,
      0.9987151037215961,
      0.99866662822657,
      0.9986164866646126,
      0.9985646283379004,
      0.9985110012547626,
      0.9984555521055419,
      0.9983982262383114,
      0.9983389676344561,
      0.9982777188841324,
      0.9982144211616167,
      0.9981490142005537,
      0.9980814362691186,
      0.9980116241451057,
      0.9979395130909576,
      0.9978650368287478,
      0.9977881275151322,
      0.9977087157162847,
      0.9976267303828319,
      0.9975420988248033,
      0.9974547466866138,
      0.9973645979220951,
      0.997271574769594,
      0.9971755977271562,
      0.9970765855278131,
      0.9969744551149913,
      0.9968691216180656,
      0.9967604983280743,
      0.9966484966736172,
      0.9965330261969594,
      0.996413994530361,
      0.9962913073726558,
      0.9961648684661009,
      0.9960345795735209,
      0.9959003404557717,
      0.9957620488495448,
      0.9956196004455405,
      0.9954728888670327,
      0.9953218056488513,
      0.9951662402168094,
      0.9950060798676001,
      0.9948412097491911,
      0.9946715128417433,
      0.9944968699390824,
      0.9943171596307506,
      0.9941322582846674,
      0.9939420400304274,
      0.9937463767432657,
      0.9935451380287199,
      0.9933381912080173,
      0.9931254013042197,
      0.9929066310291541,
      0.9926817407711609,
      0.9924505885836908,
      0.9922130301747807,
      0.9919689188974402,
      0.9917181057409808,
      0.991460439323318,
      0.9911957658842797,
      0.9909239292799512,
      0.99064477097809,
      0.9903581300546417,
      0.9900638431913881,
      0.9897617446747616,
      0.9894516663958565,
      0.9891334378516673,
      0.9888068861475906,
      0.9884718360012164,
      0.9881281097474445,
      0.9877755273449553,
      0.9874139063840671,
      0.9870430620960089,
      0.9866628073636413,
      0.9862729527336547,
      0.9858733064302735,
      0.9854636743704978,
      0.98504386018091,
      0.9846136652160745,
      0.9841728885785609,
      0.9837213271406136,
      0.9832587755674994,
      0.9827850263425566,
      0.9822998697939708,
      0.9818030941233037,
      0.9812944854357982,
      0.9807738277724828,
      0.9802409031440976,
      0.9796954915668652,
      0.9791373711001241,
      0.978566317885847,
      0.9779821061900617,
      0.9773845084461915,
      0.9767732953003342,
      0.9761482356584915,
      0.9755090967357667,
      0.9748556441075422,
      0.9741876417626487,
      0.9735048521585372,
      0.9728070362784634,
      0.9720939536906928,
      0.9713653626097316,
      0.9706210199595906,
      0.9698606814390858,
      0.9690841015891766,
      0.9682910338623437,
      0.9674812306940062,
      0.9666544435759743,
      0.9658104231319359,
      0.9649489191949687,
      0.9640696808870742,
      0.9631724567007206,
      0.9622569945823882,
      0.9613230420181013,
      0.9603703461209354,
      0.9593986537204818,
      0.9584077114542522,
      0.9573972658610045,
      0.9563670634759681,
      0.9553168509279445,
      0.9542463750382589,
      0.9531553829215349,
      0.9520436220882643,
      0.9509108405491401,
      0.9497567869211191,
      0.9485812105351815,
      0.9473838615457479,
      0.9461644910417171,
      0.9449228511590817,
      0.9436586951950815,
      0.942371777723847,
      0.9410618547134882,
      0.9397286836445808,
      0.9383720236299953,
      0.9369916355360216,
      0.9355872821047313,
      0.9341587280775218,
      0.9327057403197853,
      0.9312280879466408,
      0.929725542449669,
      0.9281978778245837,
      0.926644870699778,
      0.925066300465673,
      0.9234619494048046,
      0.9218316028225747,
      0.9201750491785947,
      0.9184920802185487,
      0.9167824911064975,
      0.9150460805575503,
      0.9132826509708224,
      0.911492008562598,
      0.9096739634996196,
      0.9078283300324186,
      0.905954926628602,
      0.9040535761060124,
      0.9021241057656725,
      0.9001663475244255,
      0.8981801380471846,
      0.8961653188786995,
      0.8941217365747505,
      0.8920492428326754,
      0.889947694621142,
      0.8878169543090658,
      0.8856568897935848,
      0.8834673746269923,
      0.8812482881425352,
      0.8789995155789818,
      0.8767209482038605,
      0.8744124834352769,
      0.8720740249622099,
      0.8697054828631912,
      0.8673067737232711,
      0.8648778207491759,
      0.8624185538825551,
      0.859928909911231,
      0.8574088325783444,
      0.8548582726893095,
      0.8522771882164778,
      0.8496655444014185,
      0.8470233138547221,
      0.8443504766532315,
      0.8416470204346126,
      0.8389129404891691,
      0.8361482398488145,
      0.8333529293731095,
      0.8305270278322803,
      0.8276705619871282,
      0.8247835666657468,
      0.821866084836964,
      0.8189181676804256,
      0.8159398746532407,
      0.8129312735531107,
      0.8098924405778658,
      0.8068234603813311,
      0.8037244261254556,
      0.8005954395286272,
      0.797436610910111,
      0.7942480592305399,
      0.7910299121283983,
      0.7877823059524349,
      0.7845053857899458,
      0.7811993054908752,
      0.7778642276876762,
      0.7745003238108829,
      0.7711077741003471,
      0.7676867676120933,
      0.7642375022207488,
      0.7607601846175149,
      0.7572550303036361,
      0.753722263579341,
      0.7501621175282231,
      0.7465748339970324,
      0.7429606635708603,
      0.7393198655436934,
      0.7356527078843226,
      0.7319594671975923,
      0.7282404286809839,
      0.7244958860765243,
      0.720726141618017,
      0.7169315059736004,
      0.7131122981836349,
      0.7092688455939262,
      0.705401483784302,
      0.70151055649255,
      0.6975964155337436,
      0.6936594207149733,
      0.6896999397455122,
      0.6857183481424454,
      0.6817150291317956,
      0.6776903735451868,
      0.67364477971208,
      0.6695786533476299,
      0.6654924074362125,
      0.6613864621106686,
      0.6572612445273263,
      0.6531171887368532,
      0.6489547355510088,
      0.6447743324053532,
      0.6405764332179914,
      0.6363614982444142,
      0.6321299939285231,
      0.6278823927499048,
      0.6236191730674515,
      0.619340818959398,
      0.6150478200598753,
      0.6107406713920627,
      0.6064198731980397,
      0.6020859307654272,
      0.5977393542509258,
      0.5933806585008439,
      0.5890103628687298,
      0.5846289910302069,
      0.5802370707951291,
      0.57583513391716,
      0.5714237159009006,
      0.5670033558066719,
      0.5625745960530757,
      0.5581379822174571,
      0.5536940628343816,
      0.549243389192263,
      0.5447865151282549,
      0.5403239968215455,
      0.535856392585172,
      0.5313842626564967,
      0.5269081689864634,
      0.5224286750277787,
      0.517946345522139,
      0.5134617462866493,
      0.5089754439995559,
      0.5044880059854403,
      0.5,
      0.49551199401456003,
      0.49102455600044415,
      0.48653825371335097,
      0.48205365447786097,
      0.4775713249722217,
      0.47309183101353663,
      0.46861573734350365,
      0.46414360741482796,
      0.4596760031784548,
      0.45521348487174507,
      0.450756610807737,
      0.4463059371656184,
      0.4418620177825429,
      0.43742540394692425,
      0.43299664419332806,
      0.4285762840990994,
      0.42416486608284,
      0.41976292920487124,
      0.41537100896979307,
      0.4109896371312705,
      0.40661934149915613,
      0.4022606457490745,
      0.3979140692345728,
      0.39358012680196064,
      0.38925932860793727,
      0.384952179940125,
      0.38065918104060203,
      0.3763808269325488,
      0.37211760725009524,
      0.36787000607147724,
      0.36363850175558576,
      0.359423566782009,
      0.3552256675946468,
      0.35104526444899153,
      0.3468828112631468,
      0.3427387554726737,
      0.33861353788933135,
      0.3345075925637874,
      0.3304213466523701,
      0.32635522028791997,
      0.3223096264548132,
      0.3182849708682044,
      0.314281651857555,
      0.31030006025448775,
      0.3063405792850268,
      0.30240358446625637,
      0.29848944350745016,
      0.294598516215698,
      0.2907311544060739,
      0.2868877018163652,
      0.28306849402639966,
      0.27927385838198304,
      0.2755041139234759,
      0.27175957131901607,
      0.26804053280240797,
      0.2643472921156776,
      0.2606801344563068,
      0.25703933642913984,
      0.25342516600296794,
      0.24983788247177707,
      0.24627773642065892,
      0.2427449696963641,
      0.23923981538248507,
      0.23576249777925123,
      0.23231323238790674,
      0.22889222589965297,
      0.22549967618911715,
      0.22213577231232395,
      0.21880069450912476,
      0.21549461421005428,
      0.21221769404756508,
      0.2089700878716017,
      0.20575194076946007,
      0.2025633890898892,
      0.19940456047137278,
      0.19627557387454453,
      0.19317653961866882,
      0.19010755942213425,
      0.18706872644688927,
      0.18406012534675964,
      0.1810818323195747,
      0.17813391516303628,
      0.1752164333342533,
      0.17232943801287198,
      0.16947297216771978,
      0.16664707062689077,
      0.1638517601511857,
      0.1610870595108309,
      0.15835297956538746,
      0.15564952334676851,
      0.15297668614527798,
      0.15033445559858144,
      0.1477228117835223,
      0.14514172731069053,
      0.14259116742165573,
      0.140071090088769,
      0.137581446117445,
      0.1351221792508242,
      0.13269322627672892,
      0.13029451713680879,
      0.12792597503779013,
      0.1255875165647231,
      0.12327905179613963,
      0.12100048442101824,
      0.11875171185746491,
      0.11653262537300785,
      0.11434311020641535,
      0.11218304569093435,
      0.11005230537885835,
      0.10795075716732477,
      0.10587826342524975,
      0.10383468112130045,
      0.1018198619528154,
      0.09983365247557457,
      0.09787589423432752,
      0.09594642389398772,
      0.094045073371398,
      0.09217166996758153,
      0.0903260365003804,
      0.08850799143740212,
      0.0867173490291776,
      0.08495391944244968,
      0.0832175088935026,
      0.08150791978145144,
      0.07982495082140523,
      0.07816839717742542,
      0.07653805059519542,
      0.0749336995343271,
      0.07335512930022199,
      0.07180212217541626,
      0.07027445755033102,
      0.06877191205335925,
      0.06729425968021485,
      0.0658412719224784,
      0.06441271789526881,
      0.0630083644639785,
      0.061627976370004785,
      0.06027131635541917,
      0.05893814528651179,
      0.05762822227615311,
      0.056341304804918564,
      0.05507714884091828,
      0.05383550895828295,
      0.05261613845425206,
      0.05141878946481857,
      0.0502432130788809,
      0.04908915945085994,
      0.04795637791173565,
      0.046844617078465156,
      0.045753624961741096,
      0.0446831490720555,
      0.0436329365240319,
      0.04260273413899556,
      0.04159228854574783,
      0.04060134627951816,
      0.039629653879064544,
      0.03867695798189877,
      0.03774300541761186,
      0.03682754329927943,
      0.03593031911292581,
      0.03505108080503131,
      0.03418957686806418,
      0.033345556424025764,
      0.03251876930599388,
      0.03170896613765628,
      0.03091589841082342,
      0.0301393185609142,
      0.02937898004040945,
      0.02863463739026844,
      0.027906046309307157,
      0.027192963721536536,
      0.02649514784146288,
      0.02581235823735128,
      0.02514435589245776,
      0.02449090326423327,
      0.023851764341508534,
      0.023226704699665788,
      0.0226154915538085,
      0.022017893809938394,
      0.021433682114153012,
      0.020862628899875897,
      0.0203045084331348,
      0.019759096855902405,
      0.019226172227517314,
      0.01870551456420181,
      0.018196905876696347,
      0.017700130206029254,
      0.01721497365744343,
      0.01674122443250061,
      0.016278672859386473,
      0.015827111421439128,
      0.015386334783925445,
      0.014956139819090108,
      0.014536325629502212,
      0.014126693569726541,
      0.013727047266345301,
      0.013337192636358684,
      0.012956937903991148,
      0.012586093615932936,
      0.012224472655044696,
      0.011871890252555575,
      0.011528163998783614,
      0.011193113852409392,
      0.010866562148332686,
      0.010548333604143591,
      0.01023825532523835,
      0.009936156808611981,
      0.00964186994535833,
      0.009355229021909972,
      0.009076070720048844,
      0.008804234115720361,
      0.008539560676681998,
      0.008281894259019214,
      0.008031081102559793,
      0.007786969825219329,
      0.007549411416309213,
      0.007318259228839116,
      0.0070933689708459246,
      0.006874598695780277,
      0.006661808791982705,
      0.00645486197128011,
      0.006253623256734263,
      0.0060579599695725975,
      0.005867741715332565,
      0.005682840369249373,
      0.0055031300609176825,
      0.005328487158256768,
      0.005158790250808891,
      0.004993920132399806,
      0.0048337597831905575,
      0.004678194351148691,
      0.004527111132967328,
      0.004380399554459478,
      0.004237951150455219,
      0.004099659544228316,
      0.003965420426479083,
      0.0038351315338991656,
      0.0037086926273441805,
      0.003586005469639001,
      0.003466973803040676,
      0.0033515033263828466,
      0.0032395016719256914,
      0.003130878381934362,
      0.0030255448850087514,
      0.002923414472186928,
      0.0028244022728437248,
      0.0027284252304059843,
      0.0026354020779049527,
      0.0025452533133862084,
      0.0024579011751966868,
      0.002373269617168098,
      0.002291284283715272,
      0.0022118724848677763,
      0.002134963171252183,
      0.002060486909042383,
      0.0019883758548943256,
      0.0019185637308814537,
      0.0018509857994462658,
      0.001785578838383259,
      0.0017222811158676254,
      0.0016610323655439898,
      0.001601773761688574,
      0.0015444478944580437,
      0.001488998745237466,
      0.0014353716620996576,
      0.0013835133353874163,
      0.0013333717734299133,
      0.0012848962784038618,
      0.0012380374223497127,
      0.0011927470233527144,
      0.0011489781218980803,
      0.001106684957409247,
      0.0010658229449775772,
      0.0010263486522916526,
      0.0009882197767736567,
      0.0009513951229301517,
      0.0009158345799239256,
      0.0008814990993734317,
      0.0008483506733857176,
      0.0008163523128285641,
      0.0007854680258470065,
      0.0007556627966292179,
      0.0007269025644261876,
      0.0006991542028294957,
      0.000672385499310932,
      0.0006465651350275645,
      0.0006216626648953731,
      0.0005976484979344169,
      0.0005744938778880399,
      0.0005521708641184593,
      0.0005306523127806828,
      0.0005099118582765196,
      0.0004899238949900858,
      0.0004706635593060228,
      0.0004521067119113568,
      0.0004342299203816554,
      0.00041701044205197526,
      0.00040042620717278143,
      0.0003844558023508741,
      0.0003690784542750669,
      0.0003542740137262525,
      0.0003400229398711933,
      0.00032630628483927316,
      0.00031310567858119963,
      0.00030040331400852424,
      0.0002881819324126332,
      0.0002764248091617578,
      0.00026511573967434425,
      0.0002542390256670335,
      0.00024377946167531095,
      0.00023372232184481226,
      0.00022405334699109302,
      0.0002147587319255999,
      0.00020582511304543657,
      0.0001972395561844232,
      0.00018898954472288193,
      0.00018106296795341993,
      0.000173448109699972,
      0.00016613363718722912,
      0.00015910859015753396,
      0.0001523623702322479,
      0.00014588473051452218,
      0.00013966576543035844,
      0.00013369590080478482,
      0.0001279658841699329,
      0.00012246677530173788,
      0.00011718993698197057,
      0.0001121270259822471,
      0.0001072699842666698,
      0.00010261103040967404,
      9.814265122568736e-05,
      9.385759360714458e-05,
      8.974885656742683e-05,
      8.580968348523986e-05,
      8.203355454697753e-05,
      7.84141793835852e-05,
      7.494548989845504e-05,
      7.162163328286975e-05,
      6.843696521553088e-05,
      6.538604324270721e-05,
      6.2463620335554e-05,
      5.966463862116044e-05,
      5.698422328390273e-05,
      5.441767663369991e-05,
      5.1960472337778926e-05,
      4.9608249812596116e-05,
      4.735680877256111e-05,
      4.520210393225961e-05,
      4.314023985888116e-05,
      4.1167465971599265e-05,
      3.928017168467243e-05,
      3.7474881691073525e-05,
      3.5748251383486215e-05,
      3.409706240954357e-05,
      3.2518218358216446e-05,
      3.100874057429988e-05,
      2.956576409798361e-05,
      2.8186533726531935e-05,
      2.6868400195135197e-05,
      2.5608816474041594e-05,
      2.4405334179112575e-05,
      2.3255600092996785e-05,
      2.215735279414814e-05,
      2.1108419390968346e-05,
      2.01067123583889e-05,
      1.9150226474260242e-05,
      1.823703585294952e-05,
      1.7365291073603978e-05,
      1.6533216400573306e-05,
      1.573910709353409e-05,
      1.4981326804903046e-05,
      1.4258305062169654e-05,
      1.3568534832826035e-05,
      1.2910570169614415e-05,
      1.2283023933861451e-05,
      1.1684565594707383e-05,
      1.1113919102089182e-05,
      1.0569860831375796e-05,
      1.0051217597602574e-05,
      9.556864737290947e-06,
      9.085724255887358e-06,
      8.636763038896002e-06,
      8.208991124824275e-06,
      7.80146003810134e-06,
      7.413261180172913e-06,
      7.043524277017193e-06,
      6.6914158813678235e-06,
      6.356137927970276e-06,
      6.03692634023886e-06,
      5.733049686720891e-06,
      5.443807885814525e-06,
      5.168530957224129e-06,
      4.90657781867658e-06,
      4.6573351264587836e-06,
      4.420216158374127e-06,
      4.194659737751314e-06,
      3.980129197175984e-06,
      3.7761113806496687e-06,
      3.5821156829163197e-06,
      3.397673124730054e-06
    ],
    "student_survival": [
      0.9989340470293848,
      0.9989221250759736,
      0.9989100460526278,
      0.9988978075921426,
      0.9988854072873997,
      0.9988728426906276,
      0.9988601113126478,
      0.9988472106221052,
      0.9988341380446829,
      0.9988208909623016,
      0.9988074667123031,
      0.9987938625866166,
      0.9987800758309083,
      0.9987661036437148,
      0.9987519431755574,
      0.99873759152804,
      0.9987230457529269,
      0.9987083028512039,
      0.9986933597721186,
      0.9986782134122018,
      0.998662860614269,
      0.9986472981664021,
      0.9986315228009082,
      0.9986155311932594,
      0.9985993199610101,
      0.998582885662691,
      0.998566224796682,
      0.9985493338000607,
      0.998532209047428,
      0.9985148468497087,
      0.9984972434529277,
      0.9984793950369613,
      0.9984612977142618,
      0.9984429475285566,
      0.9984243404535186,
      0.9984054723914119,
      0.9983863391717063,
      0.9983669365496645,
      0.9983472602048996,
      0.9983273057399027,
      0.9983070686785392,
      0.9982865444645138,
      0.9982657284598037,
      0.9982446159430585,
      0.9982232021079668,
      0.9982014820615883,
      0.9981794508226511,
      0.9981571033198124,
      0.9981344343898835,
      0.9981114387760164,
      0.9980881111258532,
      0.9980644459896351,
      0.9980404378182719,
      0.9980160809613711,
      0.9979913696652244,
      0.9979662980707518,
      0.9979408602114015,
      0.9979150500110062,
      0.9978888612815925,
      0.9978622877211445,
      0.9978353229113187,
      0.9978079603151114,
      0.9977801932744748,
      0.997752015007883,
      0.9977234186078456,
      0.9976943970383679,
      0.9976649431323564,
      0.997635049588969,
      0.9976047089709077,
      0.997573913701654,
      0.997542656062643,
      0.9975109281903786,
      0.9974787220734843,
      0.9974460295496932,
      0.9974128423027693,
      0.9973791518593654,
      0.9973449495858114,
      0.9973102266848329,
      0.9972749741921996,
      0.9972391829733,
      0.997202843719643,
      0.997165946945281,
      0.9971284829831593,
      0.9970904419813812,
      0.997051813899396,
      0.9970125885041016,
      0.9969727553658626,
      0.9969323038544416,
      0.9968912231348427,
      0.9968495021630622,
      0.9968071296817481,
      0.9967640942157644,
      0.9967203840676578,
      0.9966759873130258,
      0.996630891795783,
      0.9965850851233242,
      0.996538554661581,
      0.9964912875299704,
      0.996443270596232,
      0.996394490471153,
      0.996344933503177,
      0.9962945857728932,
      0.9962434330874074,
      0.9961914609745858,
      0.9961386546771759,
      0.9960849991467957,
      0.9960304790377914,
      0.9959750787009612,
      0.9959187821771395,
      0.9958615731906408,
      0.9958034351425601,
      0.9957443511039247,
      0.9956843038086962,
      0.9956232756466185,
      0.9955612486559086,
      0.9954982045157863,
      0.9954341245388406,
      0.995368989663227,
      0.9953027804446943,
      0.9952354770484363,
      0.9951670592407637,
      0.9950975063805936,
      0.9950267974107528,
      0.9949549108490893,
      0.9948818247793885,
      0.9948075168420921,
      0.9947319642248121,
      0.9946551436526369,
      0.9945770313782261,
      0.9944976031716887,
      0.9944168343102386,
      0.9943346995676262,
      0.9942511732033377,
      0.9941662289515593,
      0.9940798400099015,
      0.993991979027877,
      0.9939026180951291,
      0.9938117287294037,
      0.9937192818642598,
      0.9936252478365147,
      0.9935295963734169,
      0.9934322965795416,
      0.9933333169234035,
      0.9932326252237806,
      0.9931301886357436,
      0.9930259736363858,
      0.9929199460102456,
      0.9928120708344176,
      0.9927023124633445,
      0.9925906345132857,
      0.992476999846453,
      0.9923613705548114,
      0.9922437079435344,
      0.9921239725141099,
      0.9920021239470889,
      0.9918781210844714,
      0.9917519219117216,
      0.991623483539406,
      0.9914927621844482,
      0.9913597131509927,
      0.9912242908108706,
      0.9910864485836609,
      0.9909461389163404,
      0.9908033132625135,
      0.990657922061217,
      0.9905099147152905,
      0.9903592395693077,
      0.9902058438870583,
      0.9900496738285762,
      0.9898906744267039,
      0.9897287895631891,
      0.9895639619443029,
      0.9893961330759743,
      0.9892252432384342,
      0.9890512314603593,
      0.9888740354925118,
      0.9886935917808652,
      0.9885098354392107,
      0.9883227002212368,
      0.9881321184920757,
      0.9879380211993085,
      0.9877403378434235,
      0.9875389964477216,
      0.9873339235276613,
      0.9871250440596372,
      0.9869122814491882,
      0.986695557498625,
      0.9864747923740772,
      0.9862499045719493,
      0.9860208108847844,
      0.9857874263665285,
      0.9855496642971923,
      0.9853074361469059,
      0.9850606515393618,
      0.9848092182146456,
      0.984553041991448,
      0.9842920267286576,
      0.9840260742863327,
      0.9837550844860504,
      0.9834789550706311,
      0.9831975816632398,
      0.9829108577258632,
      0.9826186745171646,
      0.9823209210497177,
      0.9820174840466221,
      0.9817082478975042,
      0.9813930946139064,
      0.9810719037840722,
      0.9807445525271297,
      0.980410915446684,
      0.9800708645838256,
      0.9797242693695618,
      0.9793709965766851,
      0.9790109102710886,
      0.9786438717625403,
      0.9782697395549337,
      0.9778883692960276,
      0.9774996137266938,
      0.9771033226296928,
      0.9766993427779955,
      0.976287517882676,
      0.9758676885403983,
      0.9754396921805236,
      0.9750033630118662,
      0.974558531969129,
      0.9741050266590495,
      0.9736426713062938,
      0.9731712866991327,
      0.9726906901349421,
      0.9722006953655692,
      0.9717011125426083,
      0.9711917481626356,
      0.9706724050124539,
      0.9701428821143983,
      0.9696029746717636,
      0.9690524740144099,
      0.9684911675446122,
      0.9679188386832204,
      0.9673352668161994,
      0.9667402272416254,
      0.9661334911172141,
      0.9655148254084656,
      0.9648839928375098,
      0.9642407518327452,
      0.9635848564793629,
      0.9629160564708587,
      0.9622340970616329,
      0.9615387190207914,
      0.9608296585872567,
      0.9601066474263104,
      0.9593694125876892,
      0.9586176764653637,
      0.9578511567591339,
      0.9570695664381803,
      0.9562726137067155,
      0.9554600019718877,
      0.9546314298140914,
      0.9537865909598476,
      0.9529251742574202,
      0.9520468636553451,
      0.9511513381840484,
      0.9502382719407423,
      0.9493073340777873,
      0.948358188794723,
      0.9473904953341671,
      0.9464039079817954,
      0.9453980760706181,
      0.944372643989775,
      0.9433272511980775,
      0.9422615322425315,
      0.9411751167820815,
      0.9400676296168221,
      0.9389386907229265,
      0.9377879152935508,
      0.9366149137859748,
      0.9354192919752468,
      0.9342006510146026,
      0.9329585875029387,
      0.9316926935596155,
      0.9304025569068777,
      0.9290877609601789,
      0.9277478849267016,
      0.9263825039123648,
      0.9249911890376152,
      0.9235735075623015,
      0.9221290230199256,
      0.9206572953615715,
      0.9191578811098117,
      0.9176303335228853,
      0.9160742027694447,
      0.9144890361141644,
      0.9128743781145002,
      0.9112297708288845,
      0.9095547540366383,
      0.9078488654698726,
      0.9061116410576453,
      0.9043426151826327,
      0.9025413209505633,
      0.9007072904726485,
      0.8988400551612419,
      0.8969391460389314,
      0.895004094061267,
      0.8930344304533013,
      0.8910296870601088,
      0.8889893967114255,
      0.886913093600534,
      0.884800313677494,
      0.8826505950567951,
      0.8804634784394858,
      0.8782385075497996,
      0.8759752295862764,
      0.8736731956873446,
      0.8713319614112927,
      0.8689510872305349,
      0.8665301390400291,
      0.8640686886796739,
      0.8615663144704738,
      0.859022601764215,
      0.8564371435063558,
      0.8538095408117945,
      0.8511394035531233,
      0.8484263509609405,
      0.8456700122357372,
      0.8428700271708264,
      0.8400260467857384,
      0.8371377339694421,
      0.8342047641327113,
      0.8312268258688938,
      0.8282036216222898,
      0.8251348683632885,
      0.8220202982693628,
      0.8188596594109558,
      0.8156527164412497,
      0.8123992512887438,
      0.8090990638515142,
      0.8057519726919802,
      0.80235781573094,
      0.7989164509395936,
      0.7954277570282159,
      0.791891634130095,
      0.7883080044793058,
      0.7846768130808385,
      0.7809980283715673,
      0.7772716428704979,
      0.773497673816699,
      0.7696761637932905,
      0.7658071813358315,
      0.7618908215234229,
      0.7579272065508249,
      0.7539164862798633,
      0.7498588387683993,
      0.7457544707751185,
      0.7416036182384018,
      0.7374065467275437,
      0.7331635518645889,
      0.728874959715085,
      0.7245411271460555,
      0.7201624421495454,
      0.7157393241301082,
      0.7112722241546625,
      0.7067616251631779,
      0.702208042138722,
      0.697612022235452,
      0.6929741448632045,
      0.68829502172742,
      0.6835752968232114,
      0.678815646382485,
      0.6740167787731088,
      0.6691794343492334,
      0.6643043852519694,
      0.6593924351597529,
      0.6544444189878273,
      0.6494612025364246,
      0.6444436820873218,
      0.6393927839486202,
      0.6343094639476917,
      0.6291947068724193,
      0.6240495258609576,
      0.6188749617404279,
      0.6136720823150701,
      0.6084419816045566,
      0.6031857790332914,
      0.5979046185716931,
      0.5925996678305847,
      0.5872721171099811,
      0.5819231784036882,
      0.5765540843612866,
      0.5711660872092037,
      0.5657604576327041,
      0.5603384836207784,
      0.5549014692760057,
      0.5494507335916123,
      0.5439876091980346,
      0.5385134410814199,
      0.533029585276576,
      0.5275374075369877,
      0.5220382819845767,
      0.516533589741978,
      0.511024717550137,
      0.5055130563741147,
      0.5,
      0.4944869436258857,
      0.4889752824498631,
      0.48346641025802245,
      0.4779617180154233,
      0.4724625924630128,
      0.466970414723424,
      0.4614865589185806,
      0.45601239080196554,
      0.4505492664083881,
      0.4450985307239943,
      0.4396615163792215,
      0.43423954236729595,
      0.4288339127907963,
      0.42344591563871337,
      0.4180768215963117,
      0.41272788289001894,
      0.4074003321694152,
      0.40209538142830736,
      0.3968142209667086,
      0.39155801839544374,
      0.3863279176849299,
      0.3811250382595725,
      0.3759504741390424,
      0.37080529312758115,
      0.3656905360523083,
      0.3606072160513803,
      0.35555631791267805,
      0.35053879746357586,
      0.3455555810121727,
      0.34060756484024757,
      0.33569561474803056,
      0.330820565650767,
      0.32598322122689105,
      0.3211843536175153,
      0.3164247031767887,
      0.3117049782725799,
      0.3070258551367956,
      0.30238797776454795,
      0.29779195786127804,
      0.293238374836822,
      0.2887277758453376,
      0.2842606758698917,
      0.27983755785045494,
      0.27545887285394455,
      0.2711250402849153,
      0.2668364481354111,
      0.26259345327245653,
      0.25839638176159807,
      0.2542455292248816,
      0.2501411612316007,
      0.24608351372013693,
      0.24207279344917507,
      0.23810917847657706,
      0.23419281866416852,
      0.2303238362067096,
      0.22650232618330118,
      0.2227283571295023,
      0.21900197162843277,
      0.21532318691916189,
      0.2116919955206943,
      0.20810836586990497,
      0.20457224297178433,
      0.20108354906040632,
      0.1976421842690602,
      0.19424802730801985,
      0.190900936148486,
      0.18760074871125618,
      0.1843472835587504,
      0.18114034058904419,
      0.17797970173063726,
      0.17486513163671144,
      0.1717963783777103,
      0.16877317413110615,
      0.16579523586728884,
      0.16286226603055784,
      0.15997395321426167,
      0.1571299728291736,
      0.15432998776426296,
      0.15157364903905943,
      0.14886059644687688,
      0.14619045918820567,
      0.1435628564936443,
      0.14097739823578515,
      0.1384336855295264,
      0.13593131132032626,
      0.13346986095997118,
      0.13104891276946518,
      0.12866803858870732,
      0.12632680431265556,
      0.12402477041372356,
      0.12176149245020061,
      0.11953652156051421,
      0.11734940494320488,
      0.115199686322506,
      0.11308690639946607,
      0.11101060328857447,
      0.10897031293989132,
      0.10696556954669872,
      0.10499590593873312,
      0.10306085396106855,
      0.10115994483875818,
      0.09929270952735153,
      0.09745867904943681,
      0.09565738481736723,
      0.09388835894235487,
      0.09215113453012753,
      0.09044524596336177,
      0.08877022917111556,
      0.08712562188549985,
      0.08551096388583554,
      0.08392579723055538,
      0.08236966647711474,
      0.08084211889018832,
      0.0793427046384286,
      0.07787097698007442,
      0.07642649243769845,
      0.07500881096238483,
      0.07361749608763533,
      0.07225211507329836,
      0.07091223903982116,
      0.06959744309312232,
      0.06830730644038452,
      0.06704141249706129,
      0.0657993489853975,
      0.06458070802475331,
      0.06338508621402518,
      0.06221208470644922,
      0.061061309277073574,
      0.059932370383177926,
      0.05882488321791846,
      0.05773846775746851,
      0.05667274880192256,
      0.05562735601022501,
      0.054601923929381985,
      0.05359609201820462,
      0.05260950466583291,
      0.05164181120527695,
      0.05069266592221267,
      0.049761728059257763,
      0.04884866181595154,
      0.04795313634465497,
      0.04707482574257984,
      0.04621340904015249,
      0.045368570185908556,
      0.04453999802811238,
      0.043727386293284556,
      0.042930433561819734,
      0.04214884324086609,
      0.041382323534636375,
      0.04063058741231088,
      0.0398933525736897,
      0.03917034141274331,
      0.03846128097920867,
      0.037765902938367193,
      0.03708394352914146,
      0.0364151435206371,
      0.035759248167254884,
      0.03511600716249022,
      0.034485174591534516,
      0.03386650888278592,
      0.033259772758374634,
      0.032664733183800594,
      0.03208116131677971,
      0.03150883245538783,
      0.030947525985590113,
      0.030397025328236436,
      0.02985711788560171,
      0.029327594987546213,
      0.02880825183736441,
      0.02829888745739177,
      0.02779930463443075,
      0.027309309865057863,
      0.02682871330086735,
      0.02635732869370621,
      0.025894973340950447,
      0.025441468030871023,
      0.024996636988133748,
      0.02456030781947644,
      0.024132311459601707,
      0.02371248211732401,
      0.023300657222004462,
      0.02289667737030718,
      0.022500386273306163,
      0.022111630703972446,
      0.021730260445066287,
      0.021356128237459696,
      0.020989089728911395,
      0.020629003423314838,
      0.02027573063043818,
      0.019929135416174335,
      0.019589084553315962,
      0.019255447472870404,
      0.01892809621592783,
      0.018606905386093525,
      0.01829175210249583,
      0.017982515953377867,
      0.017679078950282326,
      0.017381325482835403,
      0.017089142274136833,
      0.01680241833676022,
      0.016521044929368928,
      0.016244915513949614,
      0.015973925713667302,
      0.015707973271342417,
      0.015446958008551942,
      0.015190781785354317,
      0.014939348460638234,
      0.014692563853094203,
      0.014450335702807685,
      0.014212573633471493,
      0.013979189115215616,
      0.013750095428050698,
      0.013525207625922834,
      0.013304442501375018,
      0.013087718550811872,
      0.012874955940362795,
      0.01266607647233881,
      0.012461003552278405,
      0.01225966215657649,
      0.012061978800691497,
      0.011867881507924257,
      0.011677299778763243,
      0.011490164560789388,
      0.011306408219134801,
      0.011125964507488116,
      0.010948768539640646,
      0.01077475676156582,
      0.010603866924025727,
      0.010436038055697183,
      0.010271210436810901,
      0.010109325573296071,
      0.009950326171423808,
      0.009794156112941628,
      0.009640760430692317,
      0.009490085284709533,
      0.00934207793878308,
      0.009196686737486465,
      0.009053861083659586,
      0.008913551416339085,
      0.008775709189129472,
      0.008640286849007328,
      0.008507237815551813,
      0.008376516460594082,
      0.008248078088278467,
      0.00812187891552861,
      0.007997876052911109,
      0.007876027485890086,
      0.007756292056465514,
      0.007638629445188549,
      0.007523000153547009,
      0.007409365486714378,
      0.007297687536655456,
      0.007187929165582426,
      0.007080053989754357,
      0.0069740263636141825,
      0.0068698113642563854,
      0.006767374776219433,
      0.006666683076596445,
      0.0065677034204583646,
      0.006470403626583122,
      0.006374752163485334,
      0.006280718135740195,
      0.006188271270596235,
      0.006097381904870795,
      0.006008020972123043,
      0.005920159990098613,
      0.005833771048440729,
      0.005748826796662309,
      0.005665300432373757,
      0.00558316568976142,
      0.0055023968283113905,
      0.005422968621773908,
      0.005344856347363158,
      0.005268035775187883,
      0.005192483157907819,
      0.005118175220611517,
      0.00504508915091074,
      0.004973202589247098,
      0.004902493619406386,
      0.004832940759236387,
      0.0047645229515637,
      0.004697219555305669,
      0.004631010336773004,
      0.004565875461159355,
      0.00450179548421364,
      0.004438751344091443,
      0.004376724353381519,
      0.004315696191303823,
      0.0042556488960752955,
      0.004196564857439873,
      0.004138426809359191,
      0.004081217822860549,
      0.004024921299038768,
      0.003969520962208567,
      0.003915000853204355,
      0.0038613453228240895,
      0.003808539025414235,
      0.003756566912592691,
      0.0037054142271067373,
      0.0036550664968230335,
      0.0036055095288469205,
      0.0035567294037680192,
      0.00350871247002961,
      0.0034614453384189093,
      0.003414914876675754,
      0.003369108204217003,
      0.003324012686974232,
      0.0032796159323421827,
      0.003235905784235565,
      0.003192870318251856,
      0.0031504978369377968,
      0.003108776865157257,
      0.0030676961455583344,
      0.0030272446341374584,
      0.0029874114958983594,
      0.0029481861006039286,
      0.0029095580186187966,
      0.002871517016840737,
      0.0028340530547189217,
      0.0027971562803571076,
      0.002760817026699927,
      0.002725025807800435,
      0.0026897733151671067,
      0.0026550504141885987,
      0.002620848140634549,
      0.00258715769723071,
      0.0025539704503068274,
      0.002521277926515645,
      0.0024890718096215038,
      0.002457343937356959,
      0.00242608629834599,
      0.00239529102909225,
      0.002364950411031057,
      0.002335056867643593,
      0.0023056029616320495,
      0.0022765813921543105,
      0.002247984992116957,
      0.002219806725525201,
      0.0021920396848886096,
      0.002164677088681307,
      0.0021377122788555684,
      0.0021111387184075086,
      0.002084949988993846,
      0.0020591397885985356,
      0.0020337019292482367,
      0.002008630334775538,
      0.0019839190386288707,
      0.0019595621817281284,
      0.0019355540103649545,
      0.0019118888741467765,
      0.0018885612239835843,
      0.0018655656101165604,
      0.0018428966801875902,
      0.001820549177348875,
      0.001798517938411649,
      0.0017767978920332334,
      0.0017553840569415457,
      0.0017342715401963311,
      0.0017134555354861958,
      0.0016929313214607883,
      0.001672694260097267,
      0.0016527397951004153,
      0.0016330634503355658,
      0.0016136608282937156,
      0.0015945276085880696,
      0.0015756595464814056,
      0.0015570524714435122,
      0.0015387022857381273,
      0.0015206049630386864,
      0.0015027565470722946,
      0.0014851531502913106,
      0.0014677909525719303,
      0.0014506661999392173,
      0.0014337752033179748,
      0.0014171143373089695,
      0.0014006800389898873,
      0.0013844688067405548,
      0.0013684771990918592,
      0.0013527018335979172,
      0.001337139385730925,
      0.0013217865877982783,
      0.0013066402278814242,
      0.0012916971487960452,
      0.0012769542470730546,
      0.0012624084719600245,
      0.0012480568244425628,
      0.0012338963562852545,
      0.0012199241690917283,
      0.0012061374133834452,
      0.0011925332876968231,
      0.0011791090376983289,
      0.0011658619553170909,
      0.0011527893778947584,
      0.0011398886873521517,
      0.0011271573093724252,
      0.001114592712600348,
      0.00110219240785738,
      0.0010899539473722185,
      0.0010778749240264716,
      0.0010659529706151826
    ],
    "normal_var": 2.3263478740408408,
    "student_var": 2.606463569384323,
    "normal_es": 2.665214220345806,
    "student_es": 3.448836760047854
  },
  "risk_contributions": {
    "weights": [
      0.3333333333333333,
      0.3333333333333333,
      0.3333333333333333
    ],
    "covariance": [
      [
        0.010000000000000002,
        0.0,
        0.0
      ],
      [
        0.0,
        0.04000000000000001,
        0.0
      ],
      [
        0.0,
        0.0,
        0.09
      ]
    ],
    "portfolio_volatility": 0.12472191289246472,
    "component_volatilities": [
      0.00890870806374748,
      0.03563483225498992,
      0.0801783725737273
    ],
    "shares": [
      0.07142857142857144,
      0.28571428571428575,
      0.6428571428571427
    ],
    "convention": "Annual model volatility; partial derivatives hold other weights fixed, not a funded rebalance."
  },
  "checks": {
    "holm_adjustments": true,
    "holm_two_rejections": true,
    "cost_ratios": true,
    "direct_charges": true,
    "drawdown_worst_local": true,
    "drawdown_linked": true,
    "drawdown_boundary_peak_retained": true,
    "gbm_paths_positive": true,
    "gbm_initial_values": true,
    "gbm_terminal_quantiles": true,
    "gbm_band_mass": true,
    "gbm_mean_and_median": true,
    "factor_storage": true,
    "tail_variance_matching": true,
    "tail_var_probabilities": true,
    "tail_es_values": true,
    "tail_curves_monotone": true,
    "risk_contributions_sum_to_volatility": true,
    "risk_contributions_match_derivatives": true,
    "risk_shares_equal_1_4_9": true,
    "risk_shares_sum_to_one": true
  }
}
