{
    "title": "Volume Acumulado",
    "xlabel": "PVI",
    "ylabel": "Volume [cm³]",
    "time_simulation": [
        0.0,
        5.36939626501937e-07,
        3.8615272830079555e-06,
        2.444646087615173e-05,
        0.00015190132875372617,
        0.0008958380935301046,
        0.002291010576347546,
        0.00368627556998869,
        0.005081676948263581,
        0.006477195332644826,
        0.007872830723132423,
        0.009268563688305429,
        0.010664384540292083,
        0.012060278635929891,
        0.013456241103444268,
        0.014852257383188856,
        0.016248317648098337,
        0.01764442192601142,
        0.019040565372992226,
        0.020436757788267364,
        0.021832989372610228,
        0.02322926015385952,
        0.024625575059467268,
        0.026021939016885483,
        0.02741834712650086,
        0.028814809159701294,
        0.030211320328228333,
        0.031607890514824724,
        0.033004529463039646,
        0.03440123745126022,
        0.03579803368819769,
        0.03719491845223919,
        0.03859189202177184,
        0.03998892962034198,
        0.04138606576795245,
        0.042783374515577045,
        0.04418089539418675,
        0.045578638704104994,
        0.046976604166944644,
        0.04837479707206098,
        0.049773212408485853,
        0.0511718507329935,
        0.052570707034615756,
        0.053969781313352644,
        0.05536907913694654,
        0.056768594937655056,
        0.0581683345616077,
        0.059568287986868175,
        0.06096846022440462,
        0.06236884626324891,
        0.06376943663823895,
        0.0651702363603429,
        0.06657124069697974,
        0.06797244936976234,
        0.06937386794643309,
        0.07077550115957303,
        0.07217733954402009,
        0.07357939813267872,
        0.07498168193651708,
        0.07638419123392229,
        0.07778693131424962,
        0.07918989688814379,
        0.08059308350141091,
        0.08199649115405096,
        0.08340010481315949,
        0.08480392475712362,
        0.08620794124239417,
        0.08761214897961585,
        0.08901654796878866,
        0.09042112874475057,
        0.0918258963184697,
        0.09323085068994605,
        0.09463598684821148,
        0.09604131008262126,
        0.09744682067156252,
        0.09885251332567996,
        0.10025838832336072,
        0.1016644356426685,
        0.10307065027263512,
        0.10447704279197115,
        0.10588361264390235,
        0.10729037068552638,
        0.10869732693877955,
        0.11010448697140422,
        0.11151186553791777,
        0.11291945818412626,
        0.11432726992099784,
        0.11573531132724306,
        0.1171435721025385,
        0.1185520628255947,
        0.11996078349641166,
        0.12136973968273179,
        0.12277894140649137,
        0.12418837864575409,
        0.12559805696826237,
        0.12700796579530563,
        0.12841811097301342,
        0.12982849250138573,
        0.13123911038042252,
        0.1326499854891578,
        0.13406110752726813,
        0.13547249765217462,
        0.13688415029613485,
        0.13829608188398887,
        0.1397082921373496,
        0.14112076602331255,
        0.14253349825252246,
        0.14394648938175356,
        0.14535973913261876,
        0.14677322245027724,
        0.14818695436763352,
        0.14960093015210651,
        0.1510151656717621,
        0.15242966120498735,
        0.15384441647339517,
        0.15525941644408103,
        0.15667469257478953,
        0.15809022927584196,
        0.15950603712594885,
        0.16092212169285255,
        0.16233846738687444,
        0.1637550744864016,
        0.165171942991434,
        0.1665890472903567,
        0.16800640826220362,
        0.16942401031729612,
        0.17084187489144234,
        0.17226000170625522,
        0.17367839159689605,
        0.17509704400659065,
        0.17651598621727674,
        0.1779352073718566,
        0.17935470774871742,
        0.18077450349431207,
        0.18219458987605955,
        0.183614971904928,
        0.18503564456994928,
        0.1864566190066082,
        0.18787789521490472,
        0.18929946818387067,
        0.19072134877060376,
        0.19214354254284635,
        0.19356607093640665,
        0.19498894508676948,
        0.1964121808620006,
        0.1978358002546825,
        0.1992598196896552,
        0.20068427118143747,
        0.2021091714332565,
        0.20353454744866284,
        0.2049604159308837,
        0.20638677214733805,
        0.20781366481577182,
        0.2092410516213428,
        0.210668965135344,
        0.2120974167716473,
        0.21352636978315298,
        0.2149558458840563,
        0.2163858620559716,
        0.21781641857728595,
        0.21924751656154787,
        0.22067915628714443,
        0.22211137672827244,
        0.22354415617073653,
        0.22497749043872994,
        0.22641141266031983,
        0.2278459289600229,
        0.22928105103009813,
        0.23071679056280456,
        0.23215314282556118,
        0.23359010837514219,
        0.23502769918219374,
        0.23646591580349008,
        0.23790477577741972,
        0.23934429107462885,
        0.24078448953382936,
        0.24222540567502412,
        0.24366706260434406,
        0.24510950542050253,
        0.24655277448963187,
        0.24799689848560538,
        0.24944192891004024,
        0.25088788970422865,
        0.2523348156665606,
        0.25378274215220026,
        0.2552316992269566,
        0.2566817163998642,
        0.2581328070335049,
        0.25958498449046036,
        0.26103824515169805,
        0.26249263634302833,
        0.2639481544454186,
        0.2654047563088653,
        0.26686249510530835,
        0.26832136749410224,
        0.2697813297684692,
        0.2712424014155077,
        0.27270456155618367,
        0.27416780629307747,
        0.2756321322855437,
        0.27709754120390495,
        0.27856405364880826,
        0.28003166321734974,
        0.2815003974698543,
        0.2829702675418066,
        0.2844413207590171,
        0.28591359052794013,
        0.28738710190341643,
        0.2888618799402867,
        0.2903379552611342,
        0.29181533343370125,
        0.29329401724185905,
        0.2947739732791533,
        0.29624911321927905,
        0.29772106005914334,
        0.2991928816248039,
        0.3006659615002448,
        0.30214100957262113,
        0.30361839052905937,
        0.30509886158252475,
        0.3065824115975326,
        0.30806401847044584,
        0.3095465133982705,
        0.31103092084560663,
        0.3125195625610313,
        0.3140072132183103,
        0.31549458270459857,
        0.31698361694586186,
        0.31847548795187347,
        0.31997136773240686,
        0.3214652820998761,
        0.3229593662834883,
        0.32445551053178534,
        0.3259555048739459,
        0.32745718345817987,
        0.3289569634422584,
        0.3304583914780847,
        0.3319631156174067,
        0.3334712694860418,
        0.3349771879061067,
        0.3364849798714863,
        0.3379965885242752,
        0.33951199437737495,
        0.34102483628510355,
        0.34253894207035496,
        0.34405663069783515,
        0.3455789461192425,
        0.34709947429534227,
        0.3486204172682502,
        0.35014474821240327,
        0.35167323269238027,
        0.3531996710270284,
        0.3547282084005581,
        0.35626115264219044,
        0.3577979525454289,
        0.3593351533261195,
        0.3608694254743122,
        0.3624057576871898,
        0.363946396548807,
        0.3654916176624123,
        0.36703782705029203,
        0.3685814446540886,
        0.37012727821935687,
        0.3716774963817584,
        0.373232397015511,
        0.3747899729494826,
        0.3763432812089112,
        0.3778975777426143,
        0.3794557160185675,
        0.3810186481207195,
        0.38258378504885854,
        0.38414500785409644,
        0.38570795944334685,
        0.387275331820056,
        0.3888478794133179,
        0.3904214152808542,
        0.3919924428804432,
        0.3935664881964084,
        0.3951457838934485,
        0.3967265995841615,
        0.3983036876713435,
        0.3998842194071945,
        0.4014706613015939,
        0.40306131240924115,
        0.4046490599392313,
        0.40624157902445085,
        0.40784170086190574,
        0.4094468392352552,
        0.41104953336969485,
        0.41265851348529436,
        0.41427570602092095,
        0.41589379217920147,
        0.41751789428313574,
        0.41914865262309886,
        0.42078058854057776,
        0.4224213966555572,
        0.4240640226384274,
        0.4257103288990183,
        0.4273675590701809,
        0.42903164591609844,
        0.4306987588300057,
        0.4323769766061124,
        0.43406055890201317,
        0.43574718118525957,
        0.4374469795308751,
        0.4391511067961998,
        0.44085888371666204,
        0.4425828432803846,
        0.4443213040291654,
        0.4460653213848528,
        0.44783339138767053,
        0.4496218504631254,
        0.45142439592683026,
        0.4532551698444591,
        0.4550960659177554,
        0.4569552965667463,
        0.45884451786012803,
        0.46074019216694134,
        0.46267207628639656,
        0.4646613387750655,
        0.46669376518662314,
        0.46884312254001215,
        0.47116805864971134,
        0.47378236425084347,
        0.47666003241869853,
        0.4793367886023628,
        0.48183404912294453,
        0.48408438862008485,
        0.48614088159812907,
        0.48813812266164475,
        0.4901842930452954,
        0.4923850044706307,
        0.49485135566932703,
        0.4974963116923234,
        0.5003792135380263,
        0.5032511469312183,
        0.5060902445636575,
        0.5089028926358667,
        0.5116610297261938,
        0.5142205570938089,
        0.5165349562510325,
        0.5187399604057515,
        0.5208409897551838,
        0.5228118313681511,
        0.524659907045261,
        0.526429672425637,
        0.5281185162380975,
        0.5297295619861241,
        0.5312693239283146,
        0.5326990422260119,
        0.5340843884007217,
        0.5354332268885715,
        0.536750231809299,
        0.538040224827815,
        0.5393072926670347,
        0.5405546172917348,
        0.5417845789117876,
        0.5429990093144398,
        0.5441994006546523,
        0.5453870502164023,
        0.5465631884707582,
        0.5477290681597582,
        0.548850840193534,
        0.5499652126976717,
        0.551079320734046,
        0.5521923959542065,
        0.5533044773323503,
        0.5544159462588311,
        0.5555273121820775,
        0.5566391207408441,
        0.5577518953029156,
        0.5588660924231681,
        0.5599821380338945,
        0.561100391254479,
        0.5622211527430109,
        0.5633446841833823,
        0.5644712166369028,
        0.5656009421906847,
        0.566734061283454,
        0.5678707632184522,
        0.5690112289473069,
        0.5701556115829339,
        0.5713040419672795,
        0.5724566453745472,
        0.5736135136724867,
        0.5747746886191659,
        0.575940172998456,
        0.5771100197039097,
        0.5782842454387542,
        0.5794628836094439,
        0.5806459537030769,
        0.5818334445841687,
        0.5830253117107802,
        0.5842214576474193,
        0.5854217793908519,
        0.5866261460991318,
        0.5878344575528959,
        0.5890466023972964,
        0.5902624637097433,
        0.5914818995128053,
        0.5927047065838853,
        0.5939306900519994,
        0.5951595882332554,
        0.5963911422276321,
        0.597625059728654,
        0.5988610595653301,
        0.600098891189253,
        0.6013382984842727,
        0.6025790448213375,
        0.6038208935713957,
        0.6050635858344261,
        0.6063068682781502,
        0.6075504680831904,
        0.6087941347011394,
        0.610037623151332,
        0.6112806940208452,
        0.6125230939774001,
        0.6137645919596878,
        0.6150049429870428,
        0.6162439104304135,
        0.6174812854994604,
        0.6187168761070707,
        0.6199505681145258,
        0.6211822418153639,
        0.6224118164773205,
        0.6236391918810325,
        0.6248642622393944,
        0.6260869022782026,
        0.6273069950748669,
        0.6285244097874407,
        0.6297390573320463,
        0.6309509015183576,
        0.6321599117237919,
        0.6333661102193185,
        0.6345695220597783,
        0.635770172300012,
        0.6369680859948603,
        0.6381632770636794,
        0.6393557538580826,
        0.640545544216782,
        0.641732681546232,
        0.642917202036758,
        0.6440991752851399,
        0.6452786541849307,
        0.6464556860619404,
        0.6476303460806914,
        0.6488026871347364,
        0.6499727649014994,
        0.6511406378422753,
        0.6523063477151323,
        0.6534699390620093,
        0.6546314592087169,
        0.6557909749681635,
        0.6569485475855156,
        0.6581042383059393,
        0.6592581222939572,
        0.6604102719302201,
        0.6615607484598943,
        0.662709624263631,
        0.6638569216124,
        0.6650027073191096,
        0.6661470175740855,
        0.6672898969192668,
        0.6684313815449792,
        0.669571507641548,
        0.6707103113992988,
        0.6718478429279133,
        0.672984138417717,
        0.674119231275164,
        0.6752531604744514,
        0.6763859733413894,
        0.6775176921469472,
        0.6786483475137085,
        0.6797779589287714,
        0.6809065625824614,
        0.6820341723941346,
        0.6831608078508892,
        0.6842864856559526,
        0.6854112336480366,
        0.6865350573948837,
        0.6876579708158499,
        0.6887799989657758,
        0.6899011390607902,
        0.6910214078041204,
        0.6921408191151223,
        0.6932593813454094,
        0.6943771000627244,
        0.695493989186423,
        0.6966100459326341,
        0.6977252842207139,
        0.6988397096184044,
        0.6999533249095768,
        0.7010661412297163,
        0.7021781530110802,
        0.7032893686052822,
        0.7043997963639358,
        0.7055094335031697,
        0.7066182828068555,
        0.7077263470588638,
        0.7088336318269375,
        0.7099401371110764,
        0.7110458656951516,
        0.7121508203630346,
        0.7132549955469826,
        0.7143583995986095,
        0.7154610241663015,
        0.7165628748178013,
        0.7176639515531087,
        0.7187642515883524,
        0.7198637749235326,
        0.7209625243425204,
        0.7220604970614446,
        0.7231576930803052,
        0.7242541123991022,
        0.7253497550178356,
        0.7264446209365054,
        0.7275387073712404,
        0.728632019889783,
        0.7297245584921332,
        0.7308163259621622,
        0.7319073167321277,
        0.732997536369772,
        0.7340869876589663,
        0.7351756705997106,
        0.736263587975876,
        0.7373507342197203,
        0.7384371148989857,
        0.7395227272298012,
        0.7406075739960377,
        0.7416916579815668,
        0.7427749680509034,
        0.7438575181234035,
        0.7449392998474538,
        0.7460203048714404,
        0.7471005471147195,
        0.7481800126579349,
        0.7492587070688291,
        0.7503366247796598,
        0.7514137630065557,
        0.7524901217495167,
        0.7535656982246718,
        0.7546404924320209,
        0.755714504371564,
        0.7567877284755588,
        0.7578601591762627,
        0.7589318048252894,
        0.7600026570710254,
        0.7610727103457282,
        0.7621419730010116,
        0.7632104366852619,
        0.7642781041823501,
        0.7653449754922764,
        0.7664110394795559,
        0.7674763044958023,
        0.7685407649732732,
        0.7696044236958396,
        0.7706672750957594,
        0.7717293219569035,
        0.7727905614954009,
        0.773850999278994,
        0.7749106213883268,
        0.7759694445266264,
        0.7770274575584081,
        0.7780846604836718,
        0.7791410560862887,
        0.7801966415823878,
        0.7812514225397112,
        0.7823053961743879,
        0.7833585652702891,
        0.7844109326112859,
        0.7854624954135072,
        0.7865132564608243,
        0.7875632157532367,
        0.7886123677230027,
        0.7896607179378643,
        0.7907082691816927,
        0.791755021454488,
        0.7928009831078636,
        0.7938461430063349,
        0.7948905122853868,
        0.7959340881611477,
        0.7969768762013603,
        0.7980188791898957,
        0.7990600887751403,
        0.8001005216603214,
        0.8011401667099541,
        0.8021790378433944,
        0.8032171239251574,
        0.8042544360907283,
        0.8052909771239779,
        0.8063267470249063,
        0.8073617430096423,
        0.8083959762136707,
        0.8094294466369913,
        0.8104621570634757,
        0.8114941074931236,
        0.8125253034936775,
        0.8135557506328797,
        0.8145854377752454,
        0.8156143899756156,
        0.8166425933146343,
        0.8176700561439147,
        0.8186967840311996,
        0.8197227769764889,
        0.8207480377636536,
        0.8217725719604362,
        0.822796382350708,
        0.8238194661505978,
        0.824841831711719,
        0.8258634846018142,
        0.8268844220370121,
        0.8279046551527974,
        0.8289241839491702,
        0.8299430112100018,
        0.8309611397191633,
        0.8319785750443971,
        0.8329953199695742,
        0.8340113772785661,
        0.8350267525391151,
        0.836041445751221,
        0.8370554652664977,
        0.838068811084945,
        0.8390814859904342,
        0.8400935039023211,
        0.8411048536851212,
        0.8421155436904478,
        0.8431255878376571,
        0.844134986126749,
        0.8451437552609505,
        0.846151881320906,
        0.8471593643066153,
        0.8481662181374343,
        0.8491724288940071,
        0.8501780299827881,
        0.8511829991328077,
        0.8521873502634219,
        0.8531910889423728,
        0.8541942179535321,
        0.8551967345130284,
        0.8561986497563462,
        0.8571999636834859,
        0.8582006818621898,
        0.8592008042924577,
        0.8602003421097745,
        0.8611992925302691,
        0.8621976611216837,
        0.863195456235632,
        0.8641926806559853,
        0.8651893343827435,
        0.8661854285513912,
        0.8671809548103151,
        0.8681759270788711,
        0.8691703481409303,
        0.8701642179964928,
        0.8711575422133009,
        0.8721503291429682,
        0.8731425732177525,
        0.8741342855731383,
        0.8751254717768682,
        0.8761161290450709,
        0.8771062657293599,
        0.8780958846136067,
        0.8790849884816822,
        0.8800735829013288,
        0.8810616706564179,
        0.8820492489630782,
        0.8830363261729232,
        0.884022902285953,
        0.8850089717344253,
        0.8859945456538246,
        0.8869796212602801,
        0.8879642096892763,
        0.8889483081569419,
        0.889931927798762,
        0.890915063046994,
        0.8918977306048651,
        0.8928799332562466,
        0.8938616710011383,
        0.8948429633266388,
        0.8958238018811344,
        0.8968041950162388,
        0.8977841399480806,
        0.8987636505960157,
        0.8997427297439157,
        0.900721374607909,
        0.9016995879718671,
        0.9026773893228883,
        0.9036547675254877,
        0.90463173371515,
        0.9056082878918755,
        0.9065844356234065,
        0.9075601824774853,
        0.9085355284541117,
        0.9095104791210284,
        0.9104850456137203,
        0.9114592195805734,
        0.9124330121570728,
        0.9134064205593472,
        0.9143794531390101,
        0.9153521126799329,
        0.9163244019659866,
        0.917296332132656,
        0.9182679003960701,
        0.9192391123239712,
        0.9202099679163591,
        0.9211804699571052,
        0.9221506212300806,
        0.923120430086899,
        0.9240899020953026,
        0.9250590372552917,
        0.9260278383507372,
        0.9269963137332529,
        0.9279644578350963,
        0.928932279007881,
        0.9298997856032205,
        0.9308669720533727,
        0.9318338522776931,
        0.9328004262761822,
        0.9337666996165821,
        0.9347326667311504,
        0.9356983304037585,
        0.9366636878505351,
        0.9376287613424495,
        0.9385935425278886,
        0.9395580425423369,
        0.9405222586019232,
        0.9414861962743899,
        0.9424498555597371,
        0.9434132448095783,
        0.9443763668077847,
        0.9453392187704852,
        0.946301806265422,
        0.94726414042808,
        0.9482262101229746,
        0.9491880292694613,
        0.950149603435283,
        0.951110927052697,
        0.9520720084733171,
        0.9530328504810142,
        0.9539934502919173,
        0.9549538162576401,
        0.9559139567297958,
        0.9568738661406425,
        0.9578335500579223,
        0.9587930112655064,
        0.9597522497633949,
        0.9607112711193301,
        0.9616700809010544,
        0.962628679108568,
        0.9635870657418705,
        0.964545251936447,
        0.9655032349084263,
        0.9664610174416794,
        0.96741860788782,
        0.9683760006791057,
        0.9693332069510213,
        0.9702902211358245,
        0.971247054369,
        0.9722037038666765,
        0.9731601751965965,
        0.9741164739265024,
        0.9750725917047806,
        0.9760285396669157,
        0.9769843205967791,
        0.9779399400621132,
        0.9788953924951755,
        0.9798506806798375,
        0.9808058157515834,
        0.9817608032781562,
        0.982715637691813,
        0.9836703217764254,
        0.9846248527481221,
        0.9855792500940014,
        0.9865334943269648,
        0.9874875993663684,
        0.9884415735638259,
        0.9893954113515948,
        0.9903491210812887,
        0.9913026999690364,
        0.9922561480148379,
        0.9932094735703068,
        0.9941626794193141,
        0.9951157655618602,
        0.9960687347818161,
        0.9970215898630529,
        0.997974333589442,
        0.9989269687448543,
        0.9998794925454187,
        1.000831913342749,
        1.0017842283529739,
        1.0027364514954493,
        1.0036885716346904,
        1.0046405943384398,
        1.0055925279583107,
        1.0065443724943035,
        1.007496127946418,
        1.0084477943146544,
        1.009399379950626,
        1.0103508820704616,
        1.0113023090257751,
        1.0122536608165662,
        1.0132049346589638,
        1.0141561361207103,
        1.0151072624179347,
        1.016058319118379,
        1.0170093145736572,
        1.0179602459998978,
        1.018911113397101,
        1.0198619195491379,
        1.020812672807622,
        1.0217633648209397,
        1.022714006724576,
        1.0236645929507884,
        1.0246151318511905,
        1.0255656262096533,
        1.0265160760261771,
        1.0274664813007617,
        1.0284168448172784,
        1.0293671721434694,
        1.030317463279335,
        1.031267715441004,
        1.0322179341962185,
        1.03316812232885,
        1.0341182798388981,
        1.0350684122941056,
        1.036018516910601,
        1.036968599256127,
        1.0379186593306835,
        1.0388686999181416,
        1.0398187210185013,
        1.0407687309833762,
        1.0417187214611527,
        1.0426686980195732,
        1.0436186745779938,
        1.044568631649316,
        1.0455185803690246,
        1.0464685263048619,
        1.0474184722406992,
        1.0483684181765365,
        1.0493183668962451,
        1.0502683128320824,
        1.05121825876792,
        1.0521682074876284,
        1.0531181617750793,
        1.0540681383334998,
        1.0550181176757916,
        1.0559681025858256,
        1.0569181125507006,
        1.0578681280833178,
        1.0588181686707758,
        1.0597682231775898,
        1.060718294387631,
        1.061668393436384,
        1.0626185147561067,
        1.0635686611306703,
        1.0645188325600745,
        1.0654690346120619,
        1.0664192672866324,
        1.067369527799915,
        1.0683198217196517,
        1.069270149045843,
        1.0702205125623596,
        1.0711709094853306,
        1.0721213481663696,
        1.0730718313893477,
        1.0740223508026514,
        1.0749729147578941,
        1.0759235232550761,
        1.0768741790780685,
        1.077824882226871,
        1.0787756299176128,
        1.0797264305019072,
        1.0806772811958831,
        1.0816281819995406,
        1.0825791440483643,
        1.083530161774612,
        1.0844812323944124,
        1.085432364259379,
        1.0863835545856408,
        1.0873348089409403,
        1.0882861245414057,
        1.0892375013870377,
        1.090188942261707,
        1.0911404527331565,
        1.0920920300175145,
        1.0930436741147813,
        1.0939953905926991,
        1.094947179451268,
        1.0958990351227456,
        1.0968509715264878,
        1.09780297752701,
        1.0987550614759256,
        1.0997072233732346,
        1.100659463218937,
        1.1016117837969044,
        1.102564179539394,
        1.103516667149633,
        1.104469238276008,
        1.105421884566905,
        1.106374628293294,
        1.1073274499680765,
        1.1082803635106084,
        1.1092333661370186,
        1.110186457847307,
        1.1111396386414738,
        1.112092914087261,
        1.113046284184669,
        1.1139997489336977,
        1.114953308334347,
        1.1159069651704883,
        1.1168607194421212,
        1.117814571149246,
        1.1187685230757338,
        1.1197225724377136,
        1.1206767248029277,
        1.121630982955247,
        1.1225853496785432,
        1.1235398110534598,
        1.124494380999353,
        1.1254490623000941,
        1.1264038466040696,
        1.1273587394790217,
        1.1283137409249504,
        1.129268856509598,
        1.1302240806652224,
        1.1311794189595656,
        1.132134868608757,
        1.133090432396667,
        1.1340461158910387,
        1.135001907956387,
        1.1359578225120677,
        1.1369138567742099,
        1.1378700051750712,
        1.1388262788501362,
        1.1397826722316626,
        1.1407391825357793,
        1.1416958153302288,
        1.1426525706150108,
        1.1436094483901253,
        1.144566454223315,
        1.1455235853307082,
        1.1464808389284342,
        1.1474382233681064,
        1.1483957358658534,
        1.1493533764216757,
        1.1503111478194439,
        1.151269044491416,
        1.1522270720053343,
        1.1531852331450698,
        1.1541435223428806,
        1.1551019479503801,
        1.156060507183697,
        1.157019200042831,
        1.1579780265277826,
        1.1589369894224226,
        1.1598960942944938,
        1.160855332792382,
        1.1618147104838303,
        1.1627742273688384,
        1.163733883447406,
        1.1646936787195334,
        1.1656536159690922,
        1.1666136924122106,
        1.1675739080488887,
        1.1685342712307403,
        1.1694947736061516,
        1.1704554263106075,
        1.1714162182086232,
        1.172377157651812,
        1.1733382446401746,
        1.174299476389839,
        1.175260855684677,
        1.1762223853085594,
        1.1771840596937442,
        1.1781458816241022,
        1.179107853883505,
        1.1800699820396945,
        1.1810322493894438,
        1.1819946809875936,
        1.1829572573470457,
        1.1839199840355423,
        1.1848828749724394,
        1.1858459078867674,
        1.1868090939140115,
        1.1877724469735271,
        1.1887359392266026,
        1.189699587376465,
        1.1906634025585991,
        1.1916273764213916,
        1.1925914922616148,
        1.1935557695663674,
        1.1945202111195206,
        1.1954848169210741,
        1.1964495647000586,
        1.1974144739435728,
        1.1983795474354875,
        1.1993447879596737,
        1.2003101927322606,
        1.2012757561855056,
        1.2022414616161816,
        1.2032073340791294,
        1.2041733735743487,
        1.2051395801018399,
        1.2061059536616028,
        1.2070724942536373,
        1.2080392018779438,
        1.209006076534522,
        1.2099731098717583,
        1.2109402907541682,
        1.2119076331011072,
        1.212875145264189,
        1.2138428272434139,
        1.2148106734710393,
        1.2157786895148075,
        1.216746875374719,
        1.2177152282669021,
        1.2186837509752282,
        1.219652440715826,
        1.2206213002725668,
        1.221590326861579,
        1.2225595232667343,
        1.2235288894880327,
        1.2244984255254738,
        1.2254681285951867,
        1.2264380042649137,
        1.2274080469669126,
        1.2283782622689254,
        1.2293486780096645,
        1.2303192635665465,
        1.2312900217234426,
        1.2322609469126105,
        1.2332320447017924,
        1.2342033123071172,
        1.2351747525124561,
        1.236146359750067,
        1.237118139587692,
        1.2380900920253313,
        1.2390622142791132,
        1.2400345258361365,
        1.241007026696401,
        1.2419796945889374,
        1.242952537865359,
        1.2439255509579235,
        1.2448987338666309,
        1.245872092159224,
        1.2468456202679596,
        1.2478193460315503,
        1.248793252746769,
        1.2497673320620013,
        1.250741583977248,
        1.2517160084925087,
        1.2526906083916547,
        1.253665380890815,
        1.2546403538287014,
        1.2556155049343443,
        1.2565908286400014,
        1.2575663277295437,
        1.2585419994191,
        1.2595178464925418,
        1.2604938912208385,
        1.2614701169007627,
        1.2624465207484437,
        1.2634230944122673,
        1.2643998462438477,
        1.2653767762431847,
        1.266353898329634,
        1.2673312069354536,
        1.2683086909251584,
        1.2692863502987486,
        1.2702641822723528,
        1.271242200765327,
        1.272220411345414,
        1.273198805661,
        1.2741773753604713,
        1.2751561204438278,
        1.2761350436949408,
        1.277114159033166,
        1.2780934636746328,
        1.2790729492677273,
        1.2800526074608358,
        1.2810324466055725,
        1.2820124694858075,
        1.282992678885413,
        1.283973080372131,
        1.2849536600266054,
        1.285934415064965,
        1.2869153538388236,
        1.2878964819159235,
        1.2888777881607798,
        1.2898592892766199,
        1.2908409685602167,
        1.29182282601157,
        1.2928048671984222,
        1.2937870976885155,
        1.2947695091302367,
        1.2957521098751992,
        1.2967348943556605,
        1.2977178570038783,
        1.2987010089553375,
        1.2996843474261666,
        1.3006678640647524,
        1.301651561654966,
        1.3026354541161633,
        1.3036195275289881,
        1.3046037874611833,
        1.3055882366966196,
        1.3065728668836836,
        1.3075576780223752,
        1.308542670112695,
        1.3095278515062558,
        1.3105132194191869,
        1.311498787770844,
        1.3124845342902574,
        1.3134704645451698,
        1.3144565729678388,
        1.3154428651260066,
        1.316429338235802,
        1.3174159950810964,
        1.318402863500602,
        1.3193899156556064,
        1.3203771487622384,
        1.3213645656043693,
        1.3223521633981279,
        1.3233399449273855,
        1.3243279074082708,
        1.3253160536246549,
        1.32630438914428,
        1.3272929167510183,
        1.3282816280932552,
        1.3292705426580895,
        1.3302596381745513,
        1.331248917426512,
        1.3322383776301008,
        1.3332280243530592,
        1.3342178548115167,
        1.3352078690054734,
        1.3361980641510576,
        1.3371884541676256,
        1.338179039055177,
        1.3391698048943566,
        1.340160760036777,
        1.3411518961308253,
        1.3421432187442437,
        1.3431347250931613,
        1.344126417961449,
        1.3451182945652354,
        1.346110357688392,
        1.3471026045470473,
        1.348095037925073,
        1.3490876578224684,
        1.350080461455363,
        1.3510734516076275,
        1.3520666282792622,
        1.3530599942541384,
        1.3540535439645134,
        1.3550472801942586,
        1.3560412029433737,
        1.357035312211859,
        1.3580296079997145,
        1.359024093090811,
        1.3600187619174067,
        1.3610136228311147,
        1.3620086674803216,
        1.3630038819456716,
        1.363999285714263,
        1.3649948760022244,
        1.3659906555934271,
        1.3669866217039999,
        1.367982777117814,
        1.3689791134832558,
        1.3699756280164541,
        1.3709723290690223,
        1.3719692082893475,
        1.3729662712451713,
        1.3739635207203653,
        1.374960962282672,
        1.3759585903643485,
        1.3769564105331376,
        1.3779544172212967,
        1.3789525770223716,
        1.3799509289105594,
        1.3809494701019882,
        1.3819482005966583,
        1.382947123178441,
        1.38394622392798,
        1.3849454972775332,
        1.3859449543625855,
        1.3869446007508788,
        1.3879444392262847,
        1.388944455869447,
        1.3899446534642375,
        1.3909450292267842,
        1.3919455942925723,
        1.3929463375261169,
        1.3939472700629028,
        1.394948380767445,
        1.3959496779913574,
        1.396951147815284,
        1.3979528125101943,
        1.398954655372861,
        1.3999566764032845,
        1.4009588811692066,
        1.4019612752383703,
        1.4029638474752903,
        1.4039665895283535,
        1.4049695292362714,
        1.405972652679688,
        1.4069759403715054,
        1.4079794201504354,
        1.4089830892326067,
        1.4099869197793071,
        1.4109909451969915,
        1.4119951543501748,
        1.4129995305356295,
        1.4140041015920681,
        1.4150088424646494,
        1.4160137670727302,
        1.4170188809840516,
        1.4180241619276452,
        1.4190296321744802,
        1.4200352805890715,
        1.4210411043875482,
        1.4220471147053948,
        1.4230533004071269,
        1.4240596670604866,
        1.4250662118816029,
        1.426072937654347,
        1.4270798415948476,
        1.428086926486976,
        1.4290941895468607,
        1.4301016335583734,
        1.4311092501698999,
        1.4321170533007967,
        1.4331250290317075,
        1.4341331884981172,
        1.435141520564541,
        1.4361500363664639,
        1.4371587219845299,
        1.4381675941219658,
        1.4391766360755447,
        1.4401858645484935,
        1.4411952628375853,
        1.442204844862176,
        1.4432146022706522,
        1.4442245294952711,
        1.4452346460231313,
        1.446244924015521,
        1.4472553940950232,
        1.4482660312067972,
        1.449276849270199,
        1.450287845501357,
        1.451299008764787,
        1.452310361331458,
        1.4533218781465298,
        1.4543335759132292,
        1.4553454546315565,
        1.4563574975982843,
        1.457369724300511,
        1.458382126386623,
        1.4593946927211356,
        1.460407442791147,
        1.4614203682450437,
        1.4624334607312122,
        1.4634467369528794,
        1.4644601857745612,
        1.4654738044123856,
        1.4664875956502244,
        1.4675015678396908,
        1.4685157098453,
        1.4695300244509235,
        1.470544511656561,
        1.4715591742460838,
        1.472574012219492,
        1.4735890144413004,
        1.474604194830866,
        1.4756195506043166,
        1.4766350734100389,
        1.4776507715996465,
        1.4786666396053971,
        1.4796826774272906,
        1.4806988906330694,
        1.4817152792227335,
        1.4827318376285405,
        1.4837485658504905,
        1.4847654638885837,
        1.485782537310562,
        1.4867997749809407,
        1.4878171824674626,
        1.4888347653378697,
        1.4898525180244198,
        1.4908704405271127,
        1.4918885300620774,
        1.4929067894131849,
        1.4939252241481777,
        1.4949438231315715,
        1.495962591931108,
        1.4969815305467873,
        1.4980006361947384,
        1.4990199144427039,
        1.5000393597229407,
        1.5010589720354495,
        1.502078754164101,
        1.5030987061088956,
        1.504118827869833,
        1.5051391138791712,
        1.506159566920781,
        1.5071801869946628,
        1.508200974100816,
        1.5092219282392412,
        1.510243052193809,
        1.5112643403967776,
        1.5122857928481466,
        1.5133074151156585,
        1.5143292044154424,
        1.5153511551797556,
        1.5163732757602117,
        1.5173955605890683,
        1.5184180096663253,
        1.5194406285597255,
        1.5204634089176547,
        1.521486356307856,
        1.5225094623787152,
        1.5235327382657173,
        1.5245561756172488,
        1.5255797744333097,
        1.5266035430655138,
        1.527627473162247,
        1.528651570291252,
        1.5296758344525287,
        1.5307002545105923,
        1.5317248388170566,
        1.5327495873719212,
        1.5337744946074439,
        1.5347995716591096,
        1.5358248073914338,
        1.5368502073721584,
        1.5378757632496698,
        1.5389014833755819,
        1.5399273705337657,
        1.5409534135887364,
        1.5419796208921077,
        1.543005986876137,
        1.5440325143246958,
        1.5450592032377837,
        1.5460860536154013,
        1.5471130626736769,
        1.548140235980353,
        1.5491675679676875,
        1.5501950530679376,
        1.5512227052004595,
        1.552250510445897,
        1.553278479939735,
        1.5543066108981025,
        1.5553348949693857,
        1.556363340505198,
        1.55739194750554,
        1.558420707618798,
        1.559449631980456,
        1.56047870945503,
        1.5615079428263912,
        1.5625373376622813,
        1.5635668883949587,
        1.5645965978082939,
        1.5656264631184162,
        1.5666564843253254,
        1.567686666996764,
        1.5687170027811186,
        1.5697474972461312,
        1.5707781476079308,
        1.571808951082646,
        1.5728399104541484,
        1.5738710285063087,
        1.574902302455256,
        1.5759337267332478,
        1.5769653096918979,
        1.5779970429795924,
        1.5790289377318163,
        1.5800609800292138,
        1.5810931810072695,
        1.5821255295304983,
        1.5831580423021279,
        1.5841906998350594,
        1.5852235188325203,
        1.5862564853751546,
        1.5872896078145757,
        1.5883228833669127,
        1.5893563092482943,
        1.5903898882425915,
        1.591423623133676,
        1.5924575055699337,
        1.5934915411191073,
        1.5945257297811966,
        1.5955600715562015,
        1.596594563660251,
        1.5976292005256028,
        1.5986639960716125,
        1.5996989419466667,
        1.6007340325830233,
        1.6017692819000382,
        1.6028046787622265,
        1.6038402259534592,
        1.6048759234737364,
        1.605911765755316,
        1.606947761149811,
        1.6079839040894797,
        1.609020200142064,
        1.6100566409559505,
        1.611093226531139,
        1.6121299652192433,
        1.613166845884779,
        1.6142038824471014,
        1.6152410721223396,
        1.6162784037750089,
        1.6173158829728513,
        1.6183535041481247,
        1.6193912812201852,
        1.6204292002696765,
        1.6214672724320838,
        1.6225054810041795,
        1.623543845473062,
        1.6245823574871183,
        1.6256210059108627,
        1.6266598074475234,
        1.6276987593132284,
        1.6287378503724932,
        1.62977708619306,
        1.6308164667749292,
        1.6318559949019718,
        1.6328956650064452,
        1.633935482656092,
        1.6349754450670408,
        1.6360155494554207,
        1.6370557958212315,
        1.6380961869483448,
        1.6391367228367602,
        1.6401774007026066,
        1.6412182233297552,
        1.6422591907182058,
        1.6433003000840873,
        1.6443415458596575,
        1.6453829419642723,
        1.6464244772624468,
        1.6474661573219236,
        1.64850797657496,
        1.6495499378054272,
        1.650592041013326,
        1.6516342834147841,
        1.6526766705775446,
        1.653719196933865,
        1.6547618652676161,
        1.6558046727949272,
        1.6568476195157977,
        1.6578907109979708,
        1.6589339416737034,
        1.6599773115429959,
        1.6610208206058479,
        1.6620644688622601,
        1.6631082590961033,
        1.6641521885235062,
        1.6651962515767265,
        1.6662404566073776,
        1.6672847952638463,
        1.668329275897746,
        1.6693738845897204,
        1.670418638042997,
        1.6714635279059624,
        1.672508551394745,
        1.6735537140770873,
        1.6745990103852475,
        1.6756444431030957,
        1.6766900094467618,
        1.6777357205517298,
        1.6787815597147728,
        1.6798275325036334,
        1.6808736472699248,
        1.6819198928781625,
        1.6829662776799597,
        1.6840127933237032,
        1.6850594509448777,
        1.6861062394079984,
        1.6871531587130653,
        1.6882002172116921,
        1.6892474121200076,
        1.6902947323025268,
        1.691342194462477,
        1.6923897874643734,
        1.6934375113082158,
        1.694485374345618,
        1.6955333654410953,
        1.6965814957301324,
        1.6976297540772445,
        1.6986781460501739,
        1.6997266716489206,
        1.7007753253057423,
        1.7018241209399954,
        1.7028730390645808,
        1.7039220935988548,
        1.704971276191204,
        1.7060205924093705,
        1.707070036685612,
        1.7081196173715418,
        1.709169326115547,
        1.7102191601337555,
        1.7112691361293955,
        1.7123192290476252,
        1.7133694695110289,
        1.7144198296808935,
        1.7154703179088333,
        1.716520945330333,
        1.7175716896744229,
        1.71862256764433,
        1.7196735792400548,
        1.7207247133261119,
        1.7217759782541153,
        1.722827376807936,
        1.7238788978520894,
        1.7249305413865754,
        1.72598232133075,
        1.7270342321168706,
        1.7280862626094529,
        1.7291384155923677,
        1.7301907022011,
        1.7312431252195208,
        1.732295667944403,
        1.733348333159618,
        1.7344011236490364,
        1.7354540338449165,
        1.73650709158597,
        1.737560271817356,
        1.7386135745390745,
        1.7396669997511256,
        1.7407205474535092,
        1.7417742176462259,
        1.742828010329275,
        1.7438819282865279,
        1.7449359687341135,
        1.7459901316720317,
        1.7470444254518958,
        1.748098861209191,
        1.749153419456819,
        1.7502081001947793,
        1.7512629034230724,
        1.7523178319255692,
        1.7533728829183988,
        1.7544280508338184,
        1.7554833245363433,
        1.7565387235130723,
        1.7575942477640052,
        1.7586498945052706,
        1.7597056665207398,
        1.7607615638104128,
        1.7618175835904184,
        1.7628737286446279,
        1.763929998973041,
        1.764986394575658,
        1.7660428987492516,
        1.7670995170615642,
        1.7681562606480805,
        1.7692131295088007,
        1.7702701236437246,
        1.7713272402689815,
        1.7723844654652148,
        1.7734418103679095,
        1.774499280544808,
        1.7755568787797817,
        1.7766145800179896,
        1.77767240374653,
        1.778730352749274,
        1.7797884214584796,
        1.7808466015225328,
        1.7819049040769188,
        1.7829633263377662,
        1.784021865521204,
        1.7850805216272316,
        1.786139297439721,
        1.7871981901748006,
        1.7882572026163415,
        1.7893163319804728,
        1.7903755754833228,
        1.7914349414765056,
        1.7924944188245362,
        1.793554010311286,
        1.7946137270722393,
        1.7956735551880405,
        1.796733500226432,
        1.7977935621874135,
        1.7988537410709853,
        1.799914034093276,
        1.8009744440381574,
        1.8020349653378864,
        1.8030956063440768,
        1.804156358705115,
        1.8052172224210012,
        1.8062782058433486,
        1.8073393061882863,
        1.8084005151042006,
        1.8094618437265764,
        1.8105232837037997,
        1.811584835035871,
        1.8126465032905326,
        1.813708282900042,
        1.8147701766482702,
        1.8158321873190888,
        1.8168943093447554,
        1.8179565427252697,
        1.819018890244503,
        1.8200813463347132,
        1.821143916563642,
        1.82220660093129,
        1.8232693966537858,
        1.8243323037311296,
        1.8253953249471921,
        1.8264584547342315,
        1.827521701443861,
        1.828585053940596,
        1.829648523359921,
        1.8307120985663514,
        1.8317757795598877,
        1.832839577476014,
        1.833903483963117,
        1.8349674962373252,
        1.8360316226502527,
        1.8370958604180279,
        1.8381602067567797,
        1.8392246700181218,
        1.840289236282698,
        1.8413539083343797,
        1.8424186945247802,
        1.8434835865022865,
        1.8445485898346403,
        1.8456137017379708,
        1.8466789194284068,
        1.8477442456898194,
        1.8488096805222085,
        1.8498752239255747,
        1.8509408758999173,
        1.852006630877494,
        1.85307249999379,
        1.85413847211332,
        1.8552045583715693,
        1.8562707476330524,
        1.8573370454655125,
        1.8584034490850778,
        1.8594699584917487,
        1.8605365736855248,
        1.8616032946664065,
        1.8626701214343935,
        1.863737056773357,
        1.8648040978994265,
        1.8658712392448589,
        1.8669384891612677,
        1.8680058448647823,
        1.8690733091392733,
        1.8701408764169984,
        1.8712085494818291,
        1.8722763227660226,
        1.8733442018373219,
        1.8744121894795975,
        1.8754802801251074,
        1.8765484709899805,
        1.87761677042583,
        1.8786851700810425,
        1.8797536727394895,
        1.8808222839689128,
        1.8818909982015708,
        1.882959815437463,
        1.8840287273249756,
        1.8850977477834652,
        1.8861668768129312,
        1.8872361032778888,
        1.8883054327460809,
        1.8893748652175073,
        1.8904443951244254,
        1.8915140252507066,
        1.8925837667318355,
        1.8936536056484563,
        1.8947235475683113,
        1.8957935869236582,
        1.8968637320661104,
        1.8979339774279258,
        1.8990043174413618,
        1.9000747660257746,
        1.901145312045679,
        1.9022159610688179,
        1.9032867047435773,
        1.9043575569893134,
        1.90542850388667,
        1.906499553787261,
        1.9075707011233438,
        1.9086419486787898,
        1.9097132936697274,
        1.9107847444477706,
        1.9118562870935631,
        1.912927935526461,
        1.9139996813948508,
        1.9150715219148613,
        1.9161434682219771,
        1.9172155063968424,
        1.918287644791071,
        1.9193598806207914,
        1.920432219453746,
        1.92150465015445,
        1.9225771810745171,
        1.923649809430076,
        1.9247225352211268,
        1.9257953584476695,
        1.9268682763258327,
        1.92794129720723,
        1.929014409956377,
        1.930087622924887,
        1.9311609305450175,
        1.9322343328167688,
        1.933307835307883,
        1.9343814324506179,
        1.9354551298127158,
        1.9365289162586923,
        1.9376027973562893,
        1.9386767758893781,
        1.93975085464183,
        1.9408250252620314,
        1.9418992988854669,
        1.9429736699443942,
        1.9440481273033288,
        1.945122682097755,
        1.946197331543802,
        1.9472720728575983,
        1.9483469088230154,
        1.949421839440053,
        1.9504968591409688,
        1.9515719762773767,
        1.9526471908492762,
        1.953722494505054,
        1.9547978928124528,
        1.955873388555343,
        1.956948976165983,
        1.9580246584282432,
        1.9591004353421246,
        1.9601763069076266,
        1.961252273124749,
        1.9623283339934923,
        1.9634044755945,
        1.9644807146309997,
        1.9655570399675064,
        1.9666334599556337,
        1.967709977379253,
        1.9687865866706216,
        1.9698632906136109,
        1.9709400836404785,
        1.9720169601834818,
        1.9730939341619769,
        1.9741710000082215,
        1.9752481632899583,
        1.976325412871702,
        1.977402748753453,
        1.9784801820706956,
        1.9795577016879453,
        1.9806353159568157,
        1.981713013741822,
        1.9827908089623199,
        1.983868690482825,
        1.9849466583033373,
        1.9860247235593411,
        1.9871028695476098,
        1.9881811157552416,
        1.9892594454790091,
        1.9903378698543972,
        1.9914163749620502,
        1.9924949775051948,
        1.9935736691322177,
        1.9946524442753768,
        1.9957313140701565,
        1.996810267381072,
        1.9978893097758657,
        1.9989684412545377,
        2.0000476673848304
    ],
    "simulation_data": [
        0.0,
        3.215077057308548e-06,
        2.312050659347267e-05,
        0.00014636612541300687,
        0.0009094549632715796,
        0.005363437524420578,
        0.013715937532276574,
        0.022068099848695125,
        0.0304201271608593,
        0.03877197007930247,
        0.0471237168901045,
        0.05547534223722967,
        0.06382687675467169,
        0.07217831875151001,
        0.08052972141440276,
        0.08888107046340768,
        0.09723236400220357,
        0.10558364219673355,
        0.1139349001272793,
        0.12228620843012815,
        0.1306375112846538,
        0.13898880753986384,
        0.1473401252989254,
        0.15569149406676486,
        0.16404288547666676,
        0.17239435574351453,
        0.18074586587953292,
        0.18909745640489828,
        0.19744916143053565,
        0.20580095695428588,
        0.21415293682783088,
        0.2225050921851448,
        0.23085753348834312,
        0.2392101089099523,
        0.24756265262302457,
        0.2559153002781053,
        0.2642681554934588,
        0.2726212442067605,
        0.2809745719884475,
        0.28932819500565177,
        0.2976821128158903,
        0.30603635645020427,
        0.31439091646310807,
        0.322745804608974,
        0.3311010621231821,
        0.3394566666665928,
        0.34781267028861873,
        0.35616903459286386,
        0.36452581485788993,
        0.3728830092724375,
        0.3812405887641478,
        0.38959860482613806,
        0.3979570444811589,
        0.4063159195765605,
        0.41467527598210724,
        0.423035150655772,
        0.4313954903900299,
        0.4397563831983265,
        0.44811785514466085,
        0.45647990638396974,
        0.46484257218418257,
        0.473205829583605,
        0.4815696655005723,
        0.4899340967415065,
        0.49829905320325396,
        0.5066645596357372,
        0.5150305839059883,
        0.5233971232692337,
        0.5317642069159197,
        0.5401318012029188,
        0.5484999489015511,
        0.5568686553640163,
        0.5652378931709889,
        0.5736076972156916,
        0.58197807764351,
        0.5903490195259878,
        0.5987205462522068,
        0.6070926157463393,
        0.6154652015905785,
        0.6238383508906213,
        0.6322120270615896,
        0.6405862510927338,
        0.6489610385670448,
        0.6573363867637994,
        0.6657123604546767,
        0.6740889201813859,
        0.6824660902930618,
        0.6908439334160247,
        0.6992223929996362,
        0.7076015404139536,
        0.7159813859116743,
        0.7243619723112877,
        0.7327433693252482,
        0.7411255318073587,
        0.7495085108845492,
        0.7578922530642667,
        0.7662767849048011,
        0.7746620813750693,
        0.7830481054731309,
        0.7914349387682136,
        0.7998224770932804,
        0.8082108093225155,
        0.8165998808684395,
        0.8249897914590553,
        0.8333805697567277,
        0.8417721802765886,
        0.850164656532826,
        0.8585580632569885,
        0.8669524468510013,
        0.8753476857687105,
        0.8837438736854945,
        0.8921409715428339,
        0.9005390577370378,
        0.9089381146128837,
        0.9173381167263339,
        0.9257389460421672,
        0.9341407594553272,
        0.9425434446432678,
        0.9509470657246507,
        0.9593516873803948,
        0.9677572750433043,
        0.976163904291375,
        0.984571646953771,
        0.9929804005790985,
        1.00139030867793,
        1.0098012719487313,
        1.0182133939624474,
        1.0266266377706412,
        1.035040963891453,
        1.043456324407785,
        1.0518728422645345,
        1.0602904209236306,
        1.0687090393160392,
        1.077128784179758,
        1.085549635710194,
        1.0939716489797477,
        1.1023948308775773,
        1.1108192870084126,
        1.1192450538613141,
        1.12767212654991,
        1.1361005721024364,
        1.1445303974248207,
        1.1529616719220457,
        1.161394380122273,
        1.1698285233292467,
        1.1782641348498872,
        1.1867012211283232,
        1.195139898663485,
        1.2035802210740758,
        1.2120223327057738,
        1.2204663375247966,
        1.2289122231455452,
        1.2373603024835689,
        1.2458103618826788,
        1.254262638162744,
        1.2627172447024662,
        1.271174002240375,
        1.2796330617030751,
        1.2880945265348742,
        1.2965583885359986,
        1.3050246447963183,
        1.3134932964016144,
        1.3219645797455586,
        1.3304383659083248,
        1.3389146207642657,
        1.347393522472925,
        1.3558750885809825,
        1.3643593827664637,
        1.3728464925590524,
        1.3813364243526485,
        1.3898292174037719,
        1.398324965506144,
        1.4068236740956093,
        1.4153254363902632,
        1.4238302905928797,
        1.4323383415283246,
        1.4408497063881842,
        1.4493644246063322,
        1.457882669802749,
        1.4664045955904272,
        1.4749302932618187,
        1.4834599973129217,
        1.4919937968162449,
        1.5005318520716722,
        1.5090743316746025,
        1.5176213712710729,
        1.5261731174200175,
        1.5347296511366675,
        1.5432910567420588,
        1.5518572956213996,
        1.5604286232647129,
        1.5690049880313313,
        1.5775860871873508,
        1.5861721807722011,
        1.594763232149809,
        1.6033590144626937,
        1.6119596987893858,
        1.6205652261613275,
        1.6291756285021257,
        1.6377909208992345,
        1.6464111218999111,
        1.6550363383879056,
        1.663666503920027,
        1.6723017270048548,
        1.6809419884554222,
        1.6895874738352004,
        1.6982383054686,
        1.706894585112721,
        1.7155564483335772,
        1.7242240921190188,
        1.7328976177268332,
        1.7415771457788378,
        1.7502769263463867,
        1.7589866498850075,
        1.7676899876258167,
        1.7763939052741617,
        1.7851010741890507,
        1.793812929964561,
        1.8025302590241234,
        1.8112368558424612,
        1.8199840679735808,
        1.8287260389804785,
        1.8374706449348315,
        1.8462200472017545,
        1.8549822843363246,
        1.8637553740659143,
        1.8725278714891278,
        1.88130456824316,
        1.8900881429446592,
        1.8988917094807025,
        1.9076989556146722,
        1.9165068456088574,
        1.9253174255804042,
        1.9341269707862216,
        1.9429747466015186,
        1.9518163998326983,
        1.960662251683269,
        1.9694948789165065,
        1.9783790701525266,
        1.9872554771017408,
        1.996134038414645,
        2.0050248902070904,
        2.013943528334898,
        2.022859520269767,
        2.031778821406663,
        2.040705591161604,
        2.049653106982953,
        2.0586110250633642,
        2.0675692598843676,
        2.0765353080939453,
        2.0855323304687703,
        2.0945251006317567,
        2.103520051995101,
        2.1125294307632023,
        2.1215512367571745,
        2.130604656013546,
        2.139650149512928,
        2.1487003659642214,
        2.1577584577965045,
        2.166832592555903,
        2.1759391641992507,
        2.185038760974893,
        2.194143059476482,
        2.203254396644157,
        2.2123816697771375,
        2.2215403957953876,
        2.2306974515196525,
        2.2398552961328018,
        2.2490178177983564,
        2.258192321750265,
        2.2674014806620364,
        2.2766046516528493,
        2.2858097106717126,
        2.2950211424681934,
        2.3042460987130284,
        2.3135055132386957,
        2.3227569996997026,
        2.3320135239269613,
        2.3412789016399014,
        2.3505859035574757,
        2.3598835190027336,
        2.369188222637411,
        2.378501607318822,
        2.3878647224603036,
        2.3972252945628494,
        2.4065986002088864,
        2.4159878220829394,
        2.425437004711359,
        2.43488340430441,
        2.444348208676011,
        2.4538314009629723,
        2.4633549114389695,
        2.4728964640009625,
        2.482485528165049,
        2.492086491043733,
        2.5017153671702768,
        2.5113993045980414,
        2.5210917174685235,
        2.5308192055412047,
        2.5406083927714125,
        2.550410335738011,
        2.5602494351965372,
        2.570159361054567,
        2.580079147473448,
        2.590045007644097,
        2.6000990217975666,
        2.610159164733359,
        2.6202776929899736,
        2.6304956787298317,
        2.6407529977542765,
        2.6511158890775084,
        2.6616435323945673,
        2.6722438772491564,
        2.6829649307275334,
        2.6938085556101656,
        2.704719356965458,
        2.7157486502577446,
        2.726932864354598,
        2.7382727309265364,
        2.7498796996658292,
        2.761863292971715,
        2.7744501969087074,
        2.788231296276747,
        2.8036029146199,
        2.8203471300026206,
        2.8361246249502683,
        2.850682588300308,
        2.86407461345122,
        2.8761843827642952,
        2.887846578593685,
        2.900026185908908,
        2.912972483911559,
        2.9273114277781636,
        2.943095080225394,
        2.96004812529855,
        2.9769376202946196,
        2.9936138006740727,
        3.0101146742666534,
        3.0261836838093275,
        3.041582101456682,
        3.0552462768034343,
        3.0681123420870695,
        3.080270846095441,
        3.092005322580146,
        3.1028549161662426,
        3.1131481189305346,
        3.122902977415277,
        3.132157725384651,
        3.140962616642209,
        3.149356470484246,
        3.1574046045946895,
        3.1651803583937035,
        3.1727257423448973,
        3.1800773556801527,
        3.187264030595854,
        3.194307380646364,
        3.201223196137401,
        3.208023379214759,
        3.2147175860800665,
        3.2213142305138103,
        3.2278209846078014,
        3.234245139418508,
        3.240616502841886,
        3.2468739783096723,
        3.253073926058677,
        3.259219640459515,
        3.265315410846994,
        3.271365596904688,
        3.277374302034261,
        3.283345343840886,
        3.2892821169139963,
        3.2951876070193795,
        3.30106461263628,
        3.306915595313813,
        3.312742697850404,
        3.3185477464578375,
        3.324332246517503,
        3.3300972802472035,
        3.3358436640925615,
        3.3415718397772016,
        3.3472819268238214,
        3.352973685160929,
        3.358646621694378,
        3.364300357772491,
        3.3699346108554997,
        3.37554921876414,
        3.381143973769913,
        3.386718911155392,
        3.3922738445587894,
        3.397808658265599,
        3.4033232285634334,
        3.408817459481743,
        3.41429131084025,
        3.419744687034752,
        3.425177253893498,
        3.4305881101182236,
        3.43597606387866,
        3.4413396091209703,
        3.4466771329949433,
        3.4519869136622043,
        3.457266964848065,
        3.4625153342420676,
        3.4677298092377753,
        3.4729083013989968,
        3.4780487172265953,
        3.4831491131802284,
        3.4882077500221347,
        3.4932231084776175,
        3.4981941357928803,
        3.503120193702916,
        3.5080009326402766,
        3.512836376053511,
        3.5176266515882904,
        3.5223721423688246,
        3.5270733209710214,
        3.5317306621227367,
        3.5363445732579897,
        3.540915551359272,
        3.5454440252260953,
        3.5499304171293784,
        3.554375031221174,
        3.5587779603713896,
        3.5631393152689967,
        3.5674590785043714,
        3.571737396731231,
        3.5759744127911537,
        3.5801702867357705,
        3.5843250775894844,
        3.5884387843600805,
        3.592511158198524,
        3.5965417591250355,
        3.6005300628166546,
        3.6044752714240405,
        3.6083766616085726,
        3.6122335491827777,
        3.616045354704393,
        3.6198116513096164,
        3.6235320657812897,
        3.6272062508677236,
        3.6308339359480186,
        3.634414847527818,
        3.637948743901934,
        3.641435547408281,
        3.644875218619121,
        3.6482678599108715,
        3.6516138421417406,
        3.6549136838983762,
        3.658168138184725,
        3.661378191997508,
        3.6645449686544587,
        3.667669772967255,
        3.6707540164653905,
        3.6737992221694467,
        3.6768069187603247,
        3.6797786353546096,
        3.682715916995873,
        3.685620270607082,
        3.6884931507697867,
        3.6913360177924575,
        3.694150184799711,
        3.6969370377554993,
        3.6996978359296797,
        3.702433783987944,
        3.705145963820828,
        3.707835342859158,
        3.710502757365542,
        3.713148939426559,
        3.715774472244769,
        3.7183798228054363,
        3.7209653839624974,
        3.723531497763721,
        3.726078397045167,
        3.728606303975789,
        3.7311153990908585,
        3.733605897061025,
        3.736077981426692,
        3.738531877065099,
        3.740967839129589,
        3.7433861857992627,
        3.7457872277945676,
        3.748171335934885,
        3.750538941463329,
        3.75289045748137,
        3.7552263775804566,
        3.7575472301275097,
        3.7598535738543446,
        3.762145998457127,
        3.764425141443151,
        3.7666916302554334,
        3.7689461388604117,
        3.7711893351834784,
        3.773421884132379,
        3.7756444647081824,
        3.7778577175625,
        3.7800623041572847,
        3.782258875745039,
        3.7844480505560245,
        3.7866304449181594,
        3.788806659574276,
        3.790977280928831,
        3.7931428623911847,
        3.795303938537669,
        3.797461021757243,
        3.7996145818448777,
        3.801765090391936,
        3.803912961196788,
        3.8060586097973204,
        3.80820241431389,
        3.810344722102922,
        3.81248586195233,
        3.814626145498715,
        3.8167658514058362,
        3.8189052429390267,
        3.821044563893122,
        3.823184039968427,
        3.8253238798195004,
        3.8274642702926633,
        3.829605398668201,
        3.8317474257444735,
        3.833890502776431,
        3.8360347501722494,
        3.8381802965005574,
        3.840327251394001,
        3.8424757060596404,
        3.844625744823449,
        3.846777423958351,
        3.8489308110058302,
        3.851085946978433,
        3.8532428747024445,
        3.85540162851393,
        3.8575622071562243,
        3.8597246520177206,
        3.861888953691147,
        3.8640550966927942,
        3.866223104665271,
        3.8683929403582384,
        3.870564601071489,
        3.872738057576484,
        3.874913282424095,
        3.8770902503616718,
        3.879268927339011,
        3.8814492820875683,
        3.883631280788626,
        3.885814875930032,
        3.888000017827238,
        3.890186683225372,
        3.8923748130400035,
        3.8945643521913507,
        3.8967552726434067,
        3.8989475108216096,
        3.9011410247501455,
        3.9033357656463434,
        3.9055316607947606,
        3.9077286767021517,
        3.9099267503421276,
        3.912125835183076,
        3.9143258667495,
        3.9165267972188946,
        3.9187285667059575,
        3.92093113217259,
        3.923134409621202,
        3.9253383783746707,
        3.9275429594789566,
        3.9297480968400555,
        3.9319537399064006,
        3.934159826291481,
        3.9363663108592357,
        3.9385731308621197,
        3.9407802350823524,
        3.942987572218374,
        3.9451950792040673,
        3.9474027045959668,
        3.9496103910814506,
        3.9518180696024525,
        3.9540256945251553,
        3.9562332144068373,
        3.958440571981986,
        3.960647727658881,
        3.962854600794209,
        3.9650611578128587,
        3.9672673358364965,
        3.969473089737481,
        3.971678368618361,
        3.973883098110074,
        3.9760872570093824,
        3.978290765298963,
        3.98049359620599,
        3.9826956699665668,
        3.9848969542065578,
        3.987097399016819,
        3.989296948775263,
        3.991495542108636,
        3.9936931473962547,
        3.9958897095608195,
        3.9980851796337187,
        4.000279502931838,
        4.002472636851114,
        4.00466453900842,
        4.006855131715617,
        4.00904441453864,
        4.011232304358366,
        4.013418765689567,
        4.015603757414081,
        4.017787226830672,
        4.019969127430215,
        4.022149418924022,
        4.024328055393229,
        4.026504979368532,
        4.028680157396935,
        4.030853550422873,
        4.033025101949561,
        4.03519478543348,
        4.03736255098525,
        4.039528355001352,
        4.041692154241228,
        4.043853911747983,
        4.046013585053768,
        4.048171132066836,
        4.0503265170013085,
        4.0524796926742725,
        4.0546306300504344,
        4.056779282832644,
        4.058925611096864,
        4.061069599042925,
        4.063211178506714,
        4.065350323542063,
        4.067487020177608,
        4.0696212201725634,
        4.071752910616386,
        4.073882020460004,
        4.076008509306948,
        4.0781323661410855,
        4.080253521299632,
        4.082372005151638,
        4.084487731077021,
        4.086600689115966,
        4.088710852173231,
        4.090818187805009,
        4.092922652325414,
        4.095024231802733,
        4.097122889461254,
        4.0992186007043685,
        4.101311329799317,
        4.103401064799809,
        4.105487765170613,
        4.107571408352931,
        4.109651978116492,
        4.111729447123041,
        4.113803782739518,
        4.1158749760263165,
        4.117942978026929,
        4.120007786589915,
        4.122069376930417,
        4.124127719013643,
        4.126182794820077,
        4.128234592599518,
        4.130283072360607,
        4.132328229115992,
        4.134370046888373,
        4.136408493087361,
        4.138443558662699,
        4.140475223827852,
        4.142503469683785,
        4.144528284188446,
        4.146549651123561,
        4.148567544749166,
        4.1505819639780315,
        4.152592891806755,
        4.154600299572794,
        4.156604190835097,
        4.158604538559557,
        4.16060134231914,
        4.162594572738285,
        4.164584228676156,
        4.166570275746713,
        4.168552725328191,
        4.17053156143212,
        4.172506763281056,
        4.174478350034435,
        4.176446285573558,
        4.17841056804331,
        4.1803711738732,
        4.182328113489026,
        4.184281375515,
        4.186230938009255,
        4.188176790635934,
        4.190118956668113,
        4.192057398966589,
        4.193992125017571,
        4.195923120610805,
        4.197850382914488,
        4.199773909452579,
        4.201693687130586,
        4.203609714196919,
        4.205522000125002,
        4.207430516479414,
        4.20933527338974,
        4.211236254033679,
        4.213133463682057,
        4.215026897025988,
        4.216916549059781,
        4.218802431260835,
        4.220684528368151,
        4.22256284158833,
        4.224437361672461,
        4.22630808499798,
        4.228175008258901,
        4.230038139109266,
        4.23189748005895,
        4.233753023185831,
        4.235604766170791,
        4.23745271756586,
        4.239296859604625,
        4.241137201299941,
        4.242973751827584,
        4.244806494191089,
        4.246635448517556,
        4.2484606088010874,
        4.250281979746561,
        4.252099545342455,
        4.253913305552144,
        4.255723250093987,
        4.2575294158027175,
        4.259331782356822,
        4.2611303660585005,
        4.26292515740801,
        4.264716162685269,
        4.266503377983134,
        4.268286815074641,
        4.270066475564849,
        4.271842350973261,
        4.27361444841404,
        4.275382785366034,
        4.277147338539923,
        4.278908130836165,
        4.280665169920615,
        4.282418443292755,
        4.284167964006382,
        4.285913735105606,
        4.287655749684107,
        4.2893940211776265,
        4.2911285631102105,
        4.2928593639995105,
        4.294586432593843,
        4.296309772774962,
        4.29802938356198,
        4.299745274058201,
        4.301457453458644,
        4.303165921143907,
        4.304870676630234,
        4.306571739338164,
        4.308269104048243,
        4.309962775571587,
        4.311652768641162,
        4.313339073517237,
        4.315021709980806,
        4.316700668537708,
        4.31837596913553,
        4.320047607393182,
        4.321715593623166,
        4.323379938238042,
        4.32504062750495,
        4.3266976816679135,
        4.328351106540678,
        4.330000912799869,
        4.331647092032562,
        4.333289650347198,
        4.334928608243056,
        4.336563976660719,
        4.338195747558527,
        4.339823927306069,
        4.341448512870225,
        4.343069539145547,
        4.344686974922369,
        4.346300845770274,
        4.347911167786262,
        4.349517933624493,
        4.351121159488402,
        4.352720842905676,
        4.354316986182017,
        4.355909605646619,
        4.357498708330733,
        4.359084296686791,
        4.360666377867015,
        4.362244959048738,
        4.3638200474344035,
        4.36539165027895,
        4.366959765692977,
        4.368524410153311,
        4.370085581873079,
        4.371643306455781,
        4.373197568517813,
        4.374748380060968,
        4.376295757594856,
        4.37783970403954,
        4.379380222372556,
        4.380917315615218,
        4.38245100030669,
        4.383981275027904,
        4.3855081563234055,
        4.387031647310887,
        4.388551746740914,
        4.390068466760231,
        4.3915818062206196,
        4.3930917773229945,
        4.394598396661788,
        4.396101663210074,
        4.397601580414869,
        4.39909815615223,
        4.400591407092357,
        4.402081323683322,
        4.403567926986271,
        4.405051211956329,
        4.406531195307905,
        4.408007885081231,
        4.409481285026765,
        4.41095139894569,
        4.412418235000317,
        4.413881805632088,
        4.415342114734553,
        4.416799162000528,
        4.41825295995205,
        4.419703516852475,
        4.421150836743989,
        4.422594932161472,
        4.4240358029691285,
        4.425473461737357,
        4.426907912604642,
        4.428339163967974,
        4.429767220035448,
        4.431192097585481,
        4.432613788360416,
        4.434032305011117,
        4.435447672569041,
        4.4368598663441094,
        4.438268907288706,
        4.439674808014756,
        4.4410775769988176,
        4.442477218625722,
        4.443873741410416,
        4.44526714162423,
        4.446657427857183,
        4.448044608692386,
        4.449428692699304,
        4.4508097086723275,
        4.452187632817601,
        4.453562473766323,
        4.454934264245048,
        4.456302980694032,
        4.457668655781995,
        4.459031278085066,
        4.460390856264626,
        4.4617474108524995,
        4.463100938522431,
        4.4644514478934845,
        4.465798943634173,
        4.467143438301748,
        4.468484936567414,
        4.469823439202066,
        4.471158958764747,
        4.472491499975198,
        4.473821071468837,
        4.475147674093666,
        4.476471324239625,
        4.477792030498575,
        4.479109786039929,
        4.480424607206456,
        4.481736498771125,
        4.483045469344177,
        4.484351523699617,
        4.4856546628374865,
        4.4869549029887965,
        4.48825224516848,
        4.489546694194328,
        4.490838269995245,
        4.492126969814393,
        4.493412794714825,
        4.494695760813635,
        4.495975869172174,
        4.497253132112862,
        4.498527550719557,
        4.499799129854406,
        4.50106787809286,
        4.502333807679357,
        4.503596919756725,
        4.504857219181197,
        4.506114718173588,
        4.507369421579038,
        4.508621326944987,
        4.509870457421084,
        4.511116803258039,
        4.512360380268819,
        4.513601193308715,
        4.514839247241167,
        4.51607455055571,
        4.517307100909887,
        4.51853692474417,
        4.5197640161199955,
        4.520988369192028,
        4.5222100174050075,
        4.523428940648303,
        4.524645161588972,
        4.525858681533564,
        4.527069505354909,
        4.528277637930775,
        4.529483091170794,
        4.5306858699436745,
        4.531885979106037,
        4.533083423512692,
        4.534278211524958,
        4.535470347991528,
        4.5366598377696095,
        4.5378466891747475,
        4.539030903619883,
        4.540212492868983,
        4.541391465186434,
        4.542567828834946,
        4.543741571517825,
        4.544912715217985,
        4.546081268153418,
        4.54724722494238,
        4.5484105972415225,
        4.549571389887449,
        4.550729614456642,
        4.551885269028793,
        4.553038365159535,
        4.554188904319569,
        4.555336894676819,
        4.55648234771778,
        4.557625254917788,
        4.558765637723654,
        4.559903497584203,
        4.561038832685189,
        4.56217166103073,
        4.563301980800371,
        4.564429793507868,
        4.565555110519775,
        4.566677936610727,
        4.56779827655745,
        4.568916141638928,
        4.5700315333579775,
        4.571144453242412,
        4.57225491575403,
        4.5733629224029,
        4.574468477941294,
        4.575571590323108,
        4.576672257885458,
        4.577770491767573,
        4.578866299885499,
        4.5799596805958025,
        4.5810506481498106,
        4.582139204084931,
        4.583225353117163,
        4.584309099957885,
        4.585390452459914,
        4.586469421574193,
        4.587546002594565,
        4.588620206461893,
        4.589692037848927,
        4.590761501434219,
        4.59182860189178,
        4.592893346985796,
        4.593955738292989,
        4.595015780490993,
        4.596073487437237,
        4.5971288545735245,
        4.598181898763416,
        4.599232612441489,
        4.60028100937441,
        4.601327094176486,
        4.602370868441569,
        4.603412339794803,
        4.604451515856212,
        4.605488395208443,
        4.606522985476458,
        4.607555294245699,
        4.608585332045991,
        4.609613085608472,
        4.6106385862463455,
        4.611661817754505,
        4.612682790644666,
        4.613701524193917,
        4.614717999409869,
        4.615732232622311,
        4.616744242976997,
        4.617754005800001,
        4.618761543166642,
        4.619766871195343,
        4.620769985653227,
        4.621770873725951,
        4.62276956016855,
        4.623766052326357,
        4.624760354653881,
        4.625752448737251,
        4.626742359140311,
        4.627730093160553,
        4.628715658084781,
        4.629699055496895,
        4.630680284191969,
        4.631659331742932,
        4.632636228028323,
        4.633610977457655,
        4.634583584432731,
        4.635554053361523,
        4.636522388640817,
        4.6374885946700894,
        4.638452675841092,
        4.639414628261373,
        4.640374445348042,
        4.641332145362825,
        4.642287740958664,
        4.643241236492765,
        4.644192630855426,
        4.645141933891894,
        4.646089149957055,
        4.647034280680955,
        4.647977333137016,
        4.648918308963124,
        4.649857215211251,
        4.6507940535235655,
        4.651728830934112,
        4.652661551771376,
        4.653592220359562,
        4.6545208383457,
        4.655447415377259,
        4.6563719504428915,
        4.657294453149198,
        4.65821495414081,
        4.659133428592659,
        4.660049883427123,
        4.6609643176778315,
        4.661876740867207,
        4.662787154658114,
        4.663695565934227,
        4.664601973758161,
        4.665506387592306,
        4.666408811684758,
        4.667309247704208,
        4.668207717874624,
        4.669104226333275,
        4.669998756762916,
        4.670891321066475,
        4.671781918361405,
        4.6726705528742505,
        4.673557233902599,
        4.674441960580209,
        4.675324762321194,
        4.676205628089464,
        4.677084554506008,
        4.677961545759202,
        4.678836606033043,
        4.679709741994188,
        4.680580955314375,
        4.6814502749408735,
        4.682317685094168,
        4.683183184968542,
        4.684046781179279,
        4.684908475409342,
        4.685768274249972,
        4.68662620136425,
        4.687482246115997,
        4.688336410163772,
        4.689188690316579,
        4.690039097977226,
        4.6908876372170525,
        4.691734324150244,
        4.692579157965423,
        4.693422133093833,
        4.6942632536148095,
        4.695102521210353,
        4.695939951863197,
        4.696775554318377,
        4.697609325431373,
        4.698441262121812,
        4.699271368428376,
        4.700099650740748,
        4.700926124809223,
        4.701750792219535,
        4.702573649924128,
        4.703394694907143,
        4.704213938177882,
        4.7050313860225135,
        4.705847044709709,
        4.706660922777098,
        4.70747301262499,
        4.708283315917744,
        4.709091843516967,
        4.7098986039097746,
        4.7107035918723295,
        4.711506824988776,
        4.712308293499035,
        4.713108001337013,
        4.713905956945554,
        4.71470216872363,
        4.715496633787701,
        4.716289362752422,
        4.71708035499454,
        4.717869609921882,
        4.718657140328195,
        4.719442947822829,
        4.720227029594899,
        4.721009391736416,
        4.721790049115446,
        4.722568994516294,
        4.723346236175227,
        4.724121780081794,
        4.724895623478517,
        4.725667770191288,
        4.726438224048483,
        4.7272069953626215,
        4.727974085737023,
        4.728739509744047,
        4.729503253852365,
        4.730265326167093,
        4.731025726171311,
        4.731784461936863,
        4.73254153509092,
        4.733296951530561,
        4.7340507362277515,
        4.73480287161464,
        4.735553359313145,
        4.736302205178128,
        4.7370494108322525,
        4.737794982111027,
        4.738538920641338,
        4.7392812322464675,
        4.740021924795146,
        4.740761004040361,
        4.741498467417011,
        4.742234333093619,
        4.742968588156625,
        4.743701238360995,
        4.744432285321552,
        4.745161736822428,
        4.745889594476147,
        4.746615861950898,
        4.747340540851421,
        4.748063645001813,
        4.748785177981975,
        4.749505133284519,
        4.750223520603867,
        4.75094033750641,
        4.751655591639788,
        4.752369284613887,
        4.753081422035624,
        4.753792005504202,
        4.754501040611114,
        4.755208528951927,
        4.755914476102739,
        4.756618885638106,
        4.757321759156933,
        4.7580231021997985,
        4.758722918326946,
        4.759421213050782,
        4.760117986008097,
        4.760813242698155,
        4.761506986651338,
        4.762199221396794,
        4.762889950451716,
        4.7635791792614155,
        4.764266907474716,
        4.764953144364231,
        4.765637887658949,
        4.766321131329964,
        4.767002892259357,
        4.767683172008499,
        4.768361975949974,
        4.769039305644446,
        4.769715166438677,
        4.770389556131078,
        4.771062476325683,
        4.771733936118746,
        4.772403933346345,
        4.773072475194511,
        4.773739566959248,
        4.774405215772705,
        4.7750694213184435,
        4.775732190690559,
        4.7763935235802935,
        4.77705340133908,
        4.777711853156962,
        4.778368880560948,
        4.779024486906347,
        4.7796786773774445,
        4.780331446234751,
        4.7809827932489375,
        4.781632729058755,
        4.782281260623859,
        4.782928393075191,
        4.783574120754845,
        4.784218448805564,
        4.784861378791998,
        4.785502921189572,
        4.786143072186515,
        4.786781842210996,
        4.787419227474592,
        4.78805523660088,
        4.788689864075951,
        4.789323127286813,
        4.789955018952096,
        4.790585542377245,
        4.791214704339856,
        4.7918425115805965,
        4.792468960395267,
        4.793094048855282,
        4.793717797549308,
        4.794340201036983,
        4.794961250515877,
        4.795580966450263,
        4.796199350318397,
        4.79681638822995,
        4.797432103935422,
        4.798046493795742,
        4.7986595508341,
        4.799271295231748,
        4.799881714932598,
        4.800490821594345,
        4.8010986217455685,
        4.8017051051163415,
        4.802310288316911,
        4.80291416780545,
        4.8035167450923115,
        4.80411802999566,
        4.804718019016104,
        4.80531671861793,
        4.8059141302909065,
        4.806510258820752,
        4.807105105687127,
        4.807698675653864,
        4.808290970197686,
        4.808881994060557,
        4.8094717454682945,
        4.810060235654917,
        4.810647459592303,
        4.811233426847954,
        4.811818134046225,
        4.812401590710202,
        4.812983791880343,
        4.813564750252708,
        4.814144459283881,
        4.814722931603636,
        4.815300160705967,
        4.8158761575844204,
        4.816450920509558,
        4.8170244493678105,
        4.817596758224974,
        4.818167834356574,
        4.818737698075504,
        4.819306338267498,
        4.8198737657636945,
        4.820439981995275,
        4.821004983743132,
        4.82156878641999,
        4.822131379054092,
        4.822692773925621,
        4.823252973983182,
        4.823811972962136,
        4.824369784577938,
        4.824926407171259,
        4.8254818375965725,
        4.826036089482166,
        4.826589161180345,
        4.827141051094931,
        4.827691771240289,
        4.828241318477783,
        4.828789694226896,
        4.8293369029171975,
        4.829882951953382,
        4.830427838233394,
        4.83097156616334,
        4.831514138633626,
        4.832055560014528,
        4.832595833178438,
        4.833134955084812,
        4.8336729359947155,
        4.834209777285097,
        4.834745477404051,
        4.835280043615303,
        4.835813475841322,
        4.836345776928662,
        4.836876952624827,
        4.837407005751728,
        4.837935936221367,
        4.838463746857631,
        4.83899044048237,
        4.83951602278162,
        4.84004049081513,
        4.840563850257536,
        4.8410861067581274,
        4.841607260238876,
        4.842127313487423,
        4.842646267866655,
        4.84316412757503,
        4.8436808981935355,
        4.844196576836558,
        4.84471116908458,
        4.845224677679852,
        4.845737103970066,
        4.846248453489193,
        4.846758726172648,
        4.847267924756947,
        4.847776053352611,
        4.848283114674609,
        4.848789111428463,
        4.849294043565806,
        4.849797915167656,
        4.850300728935701,
        4.850802487554802,
        4.851303193711322,
        4.851802851451666,
        4.8523014607224395,
        4.8527990242023025,
        4.8532955472663755,
        4.853791031208398,
        4.854285475985841,
        4.854778888291545,
        4.855271268080978,
        4.85576261799385,
        4.8562529433335895,
        4.8567422427243345,
        4.857230521451705,
        4.857717778152009,
        4.85820402074239,
        4.858689247859243,
        4.859173462110487,
        4.859656670039952,
        4.8601388702855655,
        4.860620068053524,
        4.861100265912503,
        4.861579461227418,
        4.862057660476312,
        4.862534866226886,
        4.863011078446521,
        4.863486304857604,
        4.86396054284381,
        4.86443379752278,
        4.864906067586396,
        4.865377359413628,
        4.865847676802864,
        4.866317017170863,
        4.866785386856528,
        4.86725278583214,
        4.867719217872009,
        4.868184685481195,
        4.868649191147656,
        4.869112736107853,
        4.869575325354353,
        4.870036958856881,
        4.870497636599471,
        4.8709573672907425,
        4.8714161471765145,
        4.871873983682024,
        4.872330878015128,
        4.872786828920743,
        4.873241842552263,
        4.873695921338201,
        4.874149064029691,
        4.874601277957058,
        4.875052560649223,
        4.875502915759342,
        4.87595234812698,
        4.8764008577295375,
        4.876848448184574,
        4.877295120680648,
        4.8777408776092015,
        4.87818572376342,
        4.878629657924509,
        4.879072684868014,
        4.879514805768586,
        4.879956021802569,
        4.880396336529588,
        4.8808357534878235,
        4.881274273841324,
        4.881711897581969,
        4.882148630589042,
        4.882584471674846,
        4.883019427864142,
        4.883453495625343,
        4.883886681962735,
        4.884318984528716,
        4.884750412621068,
        4.885180960407842,
        4.885610637152618,
        4.886039439362694,
        4.886467372798119,
        4.886894438591316,
        4.887320637879661,
        4.887745974092954,
        4.888170450639791,
        4.88859406635988,
        4.889016825803479,
        4.889438731224578,
        4.889859784874575,
        4.890279987867766,
        4.890699340198567,
        4.891117849743566,
        4.8915355153524445,
        4.891952337015198,
        4.892368322556609,
        4.892783469716729,
        4.893197781827186,
        4.8936112610983455,
        4.894023907512477,
        4.894435726604055,
        4.894846718347362,
        4.895256887135745,
        4.895666231855627,
        4.896074754696,
        4.896482461120049,
        4.896889348927531,
        4.897295425739583,
        4.89770069260931,
        4.898105147349053,
        4.898508794287546,
        4.898911633409993,
        4.899313672254669,
        4.899714907568216,
        4.90011534578283,
        4.90051498258827,
        4.900913827602552,
        4.9013118797302075,
        4.901709136825045,
        4.902105607386557,
        4.902501292441644,
        4.902896189854775,
        4.903290303837888,
        4.9036836364871546,
        4.904076190932313,
        4.904467967154004,
        4.904858969323247,
        4.905249198464906,
        4.905638655600245,
        4.906027342798284,
        4.906415263155767,
        4.906802418720521,
        4.907188810507704,
        4.907574441591624,
        4.907959314007992,
        4.90834342875888,
        4.908726785832581,
        4.909109392368307,
        4.9094912462956515,
        4.909872351666904,
        4.9102527084569845,
        4.910632319689734,
        4.911011187367659,
        4.911389312476701,
        4.911766699022432,
        4.9121433469830835,
        4.912519259342688,
        4.912894437076728,
        4.9132688821639565,
        4.913642598567936,
        4.9140155862552275,
        4.9143878471873546,
        4.914759383320337,
        4.915130196607687,
        4.915500289982973,
        4.9158696644183175,
        4.916238319929378,
        4.9166062616052715,
        4.916973488711433,
        4.917340006251987,
        4.917705811125522,
        4.918070911042579,
        4.918435304855131,
        4.918798993497061,
        4.919161980705228,
        4.919524266464547,
        4.919885853553143,
        4.920246742935242,
        4.920606940258432,
        4.9209664416963665,
        4.921325250983018,
        4.921683372897696,
        4.922040805431618,
        4.922397553353758,
        4.922753615613811,
        4.923108997905009,
        4.9234636982329345,
        4.923817718510686,
        4.924171063334743,
        4.924523733656789,
        4.9248757275044,
        4.9252270523740265,
        4.9255777062911115,
        4.9259276911398935,
        4.9262770114562695,
        4.926625665400261,
        4.926973658416595,
        4.927320988671712,
        4.927667659747846,
        4.928013673495403,
        4.928359029805358,
        4.928703735096065,
        4.929047784684276,
        4.929391184972714,
        4.929733934938473,
        4.930076038229641,
        4.9304174947327715,
        4.930758308981247,
        4.931098479952876,
        4.931438008566108,
        4.931776901899094,
        4.932115153673653,
        4.9324527754177145,
        4.932789759977912,
        4.9331261117055645,
        4.933461835943533,
        4.933796927240076,
        4.9341313927043355,
        4.934465233976226,
        4.934798449292831,
        4.935131042942701,
        4.935463017558722,
        4.935794371262895,
        4.936125105817564,
        4.9364552272182145,
        4.936784735453501,
        4.937113628655196,
        4.9374419094429465,
        4.937769582893418,
        4.938096651583917,
        4.938423111925569,
        4.938748966509186,
        4.939074217794818,
        4.939398865777941,
        4.939722920606462,
        4.9400463762640765,
        4.940369234330609,
        4.94069149650644,
        4.941013164362787,
        4.941334239590316,
        4.9416547237520065,
        4.941974619375676,
        4.94229392716753,
        4.942612648800286,
        4.942930788335657,
        4.943248350771357,
        4.943565331767194,
        4.943881732975291,
        4.944197555926776,
        4.944512803096677,
        4.94482747517469,
        4.945141572143608,
        4.945455092221002,
        4.9457680428325625,
        4.946080425478289,
        4.946392240952128,
        4.946703491569678,
        4.947014178938159,
        4.947324303723821,
        4.947633868343601,
        4.947942874272993,
        4.948251323100768,
        4.948559211435155,
        4.948866542496659,
        4.949173320993403,
        4.949479548493737,
        4.949785226451576,
        4.950090355627218,
        4.950394933464195,
        4.950698964739453,
        4.951002452492689,
        4.951305399066229,
        4.951607798731751,
        4.951909658611609,
        4.95221098092369,
        4.952511765614156,
        4.952812011737118,
        4.95311172398322,
        4.953410902976398,
        4.953709549450151,
        4.954007664817397,
        4.954305251371002,
        4.954602309728823,
        4.954898842177659,
        4.9551948493294695,
        4.955490331905371,
        4.955785293618853,
        4.956079732861327,
        4.956373651790197,
        4.956667054969899,
        4.956959939919448,
        4.957252309651891,
        4.95754416553112,
        4.957835509019772,
        4.958126340714577,
        4.9584166628343125,
        4.958706475210405,
        4.958995781572171,
        4.959284580987393,
        4.959572874900709,
        4.95986066691744,
        4.960147957710398,
        4.960434746353702,
        4.960721037279891,
        4.96100682955817,
        4.961292124609381,
        4.961576925247759,
        4.96186123138769,
        4.962145045087165,
        4.962428368484448,
        4.96271120140097,
        4.962993545231029,
        4.963275402011835,
        4.963556771654536,
        4.9638376569255165,
        4.964118059198001,
        4.964397979023907,
        4.964677417772436,
        4.964956377451394,
        4.965234857962538,
        4.96551286276271,
        4.96579039029531,
        4.96606744472847,
        4.966344024511319,
        4.96662013090724,
        4.96689576814364,
        4.967170935305463,
        4.967445633009406,
        4.96771986465444,
        4.967993630844834,
        4.968266932102397,
        4.9685397718819875,
        4.968812147850033,
        4.969084062033876,
        4.969355517788527,
        4.9696265142868326,
        4.969897054163319,
        4.970167138003711,
        4.970436766316833,
        4.97070594109557,
        4.970974663545028,
        4.971242934942288,
        4.971510756487145,
        4.971778128054954,
        4.972045053630361,
        4.972311531688113,
        4.972577566196861,
        4.972843155633616,
        4.973108302566605,
        4.973373007553751,
        4.973637271769841,
        4.973901096458239,
        4.974164482787219,
        4.97442743199211,
        4.974689945919626,
        4.974952025111279,
        4.975213669358342,
        4.975474881930458,
        4.975735663293387,
        4.9759960153380645,
        4.976255937848313,
        4.976515432710074,
        4.976774499709639,
        4.9770331413975875,
        4.977291359575306,
        4.977549154088591,
        4.977806525393464,
        4.978063476684921,
        4.978320007073229,
        4.978576118406085,
        4.978831813128178,
        4.979087091077657,
        4.979341953360393,
        4.979596399154848,
        4.979850432874824,
        4.980104055669911,
        4.980357265995401,
        4.9806100663208,
        4.980862457734472,
        4.9811144400682945,
        4.981366015064804,
        4.981617186472079,
        4.981867952098218,
        4.982118314377472,
        4.9823682730811925,
        4.982617831280981,
        4.982866988741846,
        4.983115745288792,
        4.983364105212364,
        4.983612067036047,
        4.983859633102916,
        4.984106802587465,
        4.984353579747003,
        4.984599962470632,
        4.98484595372056,
        4.98509155330618,
        4.985336762903405,
        4.98558158295679,
        4.985826016403605,
        4.986070061146183,
        4.986313721376977,
        4.986556996263001,
        4.986799886196228,
        4.987042394758441,
        4.987284519817237,
        4.98752626431369,
        4.987767628628449,
        4.98800861506058,
        4.988249222114525,
        4.988489452704252,
        4.988729307203061,
        4.9889687866472725,
        4.989207892028034,
        4.989446623753967,
        4.9896849846686795,
        4.989922973321008,
        4.990160592544895,
        4.990397842122172,
        4.990634723030407,
        4.9908712375061395,
        4.9911073852937875,
        4.991343168616804,
        4.991578585998119,
        4.991813639659816,
        4.992048331169041,
        4.992282662121102,
        4.992516631647667,
        4.99275024315578,
        4.992983496378298,
        4.993216389880225,
        4.99344892702104,
        4.99368110816808,
        4.993912933660226,
        4.994144405065216,
        4.994375523313689,
        4.994606288171488,
        4.994836702359262,
        4.995066766826603,
        4.995296480710279,
        4.995525846148646,
        4.99575486464857,
        4.995983535965813,
        4.996211861603898,
        4.996439842495446,
        4.996667479546287,
        4.996894773684921,
        4.997121725809191,
        4.997348333914737,
        4.997574602414729,
        4.997800529888212,
        4.998026118980212,
        4.998251371180835,
        4.998476286209351,
        4.998700865551733,
        4.998925108927853,
        4.9991490160845915,
        4.999372590789791,
        4.9995958327797005,
        4.999818744076302,
        5.000041323263002,
        5.000263571211346,
        5.0004854910975265,
        5.00070708149017,
        5.000928344981349,
        5.0011492801436965,
        5.0013698907011666,
        5.001590175223686,
        5.0018101345812855,
        5.002029771888097,
        5.002249084604798,
        5.002468077532468,
        5.0026867481325175,
        5.002905099499542,
        5.0031231296667595,
        5.00334084284083,
        5.0035582381759545,
        5.003775315379818,
        5.003992077528806,
        5.004208523209849,
        5.004424654371469,
        5.004640471831742,
        5.004855977526571
    ],
    "time_compare": [],
    "compare_data": []
}