# HG changeset patch # User sybila # Date 1664889348 0 # Node ID 179d32e79968addadc776593bffb42a274e47156 planemo upload for repository https://github.com/sybila/galaxytools/tree/master/tools/ebcsgen commit 33b83dc8c71401922b087400fa1f4080e9abe170 diff -r 000000000000 -r 179d32e79968 ebcsgen_simulate.py --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ebcsgen_simulate.py Tue Oct 04 13:15:48 2022 +0000 @@ -0,0 +1,51 @@ +import argparse + +from eBCSgen.Errors import UnspecifiedParsingError +from eBCSgen.Errors.InvalidInputError import InvalidInputError +from eBCSgen.Errors.ModelParsingError import ModelParsingError +from eBCSgen.Errors.RatesNotSpecifiedError import RatesNotSpecifiedError +from eBCSgen.Parsing.ParseBCSL import Parser + + +args_parser = argparse.ArgumentParser(description='Simulation') + +args_parser._action_groups.pop() +required = args_parser.add_argument_group('required arguments') + +required.add_argument('--model', type=str, required=True) +required.add_argument('--output', type=str, required=True) +required.add_argument('--deterministic', required=True) +required.add_argument('--direct', required=True) +required.add_argument('--runs', type=int, required=True) +required.add_argument('--max_time', type=float, required=True) +required.add_argument('--volume', type=float, required=True) +required.add_argument('--step', type=float, required=True) + +args = args_parser.parse_args() + +model_parser = Parser("model") +model_str = open(args.model, "r").read() + +model = model_parser.parse(model_str) + +if model.success: + if len(model.data.params) != 0: + raise InvalidInputError("Provided model is parametrised - simulation cannot be executed.") + if not model.data.all_rates: + raise RatesNotSpecifiedError("Some rules do not have rates specified - simulation cannot be executed.") + + if eval(args.deterministic): + vm = model.data.to_vector_model() + df = vm.deterministic_simulation(args.max_time, args.volume, args.step) + else: + if eval(args.direct): + df = model.data.network_free_simulation(args.max_time) + else: + vm = model.data.to_vector_model() + df = vm.stochastic_simulation(args.max_time, args.runs) + + df.to_csv(args.output, index=None, header=True) +else: + if "error" in model.data: + raise UnspecifiedParsingError(model.data["error"]) + raise ModelParsingError(model.data, model_str) diff -r 000000000000 -r 179d32e79968 ebcsgen_simulate.xml --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ebcsgen_simulate.xml Tue Oct 04 13:15:48 2022 +0000 @@ -0,0 +1,96 @@ + + - simulate given model + + macros.xml + + + + sybila/ebcsgen:v@TOOL_VERSION@ + + + python3 ${__tool_directory__}/ebcsgen_simulate.py + --model '$model' + --output '$output' + --deterministic '$type.deterministic_choice' + #if $type.deterministic_choice == "True": + --direct False + --runs 1 + --volume '$type.volume' + --step '$type.step' + #else: + --direct '$type.network_free_choice' + --runs '$type.num_of_runs' + --volume 1 + --step 0.01 + #end if + --max_time '$max_time' + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + +
+ + +
+ + +
+ + + +
+ + + + + + + +
+ + +
+ + + +
+ + + + + + + +
+
+
diff -r 000000000000 -r 179d32e79968 macros.xml --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/macros.xml Tue Oct 04 13:15:48 2022 +0000 @@ -0,0 +1,17 @@ + + 2.0.3 + + + + + + + + diff -r 000000000000 -r 179d32e79968 test-data/repressilator.bcsl.model --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/test-data/repressilator.bcsl.model Tue Oct 04 13:15:48 2022 +0000 @@ -0,0 +1,15 @@ +#! rules +X()::rep => @ k1*[X()::rep] +Y()::rep => @ k2*[Y()::rep] +Z()::rep => @ k1*[Z()::rep] + => X()::rep @ 5**4/(5**4+[Z()::rep]**4) + => Y()::rep @ 5**4/(5**4+[X()::rep]**4) + => Z()::rep @ 5**4/(5**4+[Y()::rep]**4) + +#! inits +1 X()::rep +1 Y()::rep + +#! definitions +k1 = 0.05 +k2 = 0.12 diff -r 000000000000 -r 179d32e79968 test-data/simulation_determ.csv --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/test-data/simulation_determ.csv Tue Oct 04 13:15:48 2022 +0000 @@ -0,0 +1,1002 @@ +times,X()::rep,Y()::rep,Z()::rep +0.0,1.660577881102624e-24,1.660577881102624e-24,0.0 +0.1,0.09975040973417111,0.0994023743454972,0.09975040978871946 +0.2,0.19900321952224012,0.19761896848213056,0.19900322194212805 +0.30000000000000004,0.29776044327163925,0.29466344696781566,0.2977604695417275 +0.4,0.3960233643763112,0.3905486081281696,0.3960235085544767 +0.5,0.49379219513463746,0.48528603408302895,0.4937927343225291 +0.6000000000000001,0.5910657630920478,0.5788857899063484,0.5910673445054847 +0.7000000000000001,0.6878412256547439,0.6713561514239588,0.6878451448970779 +0.8,0.7841137861192045,0.7627033346514935,0.7841223741070018 +0.9,0.8798764673171539,0.8529312845833213,0.8798935819268642 +1.0,0.9751198454396034,0.9420414300686308,0.9751515072281924 +1.1,1.0698318691670239,1.0300325226192328,1.0698870182641491 +1.2000000000000002,1.163997704129399,1.1169005032796013,1.1640890847991983 +1.3,1.2575995735788295,1.202638370335216,1.2577447605595704 +1.4000000000000001,1.3506166591584503,1.2872361098976837,1.350839213281081 +1.5,1.4430250343269566,1.3706806627510018,1.4433557824235845 +1.6,1.5347976454599621,1.452955944146904,1.535276074352049 +1.7000000000000002,1.6259043145793752,1.5340428876521435,1.6265800730128377 +1.8,1.7163118266205561,1.613919583645189,1.7172463062077241 +1.9000000000000001,1.8059840731911676,1.6925614801282753,1.8072520573054225 +2.0,1.894882179754882,1.769941566902923,1.8965735361588831 +2.1,1.982964757601512,1.8460306974766743,1.9851861530300985 +2.2,2.0701881679152514,1.920797925753584,2.0730647665687307 +2.3000000000000003,2.1565068509963226,1.994210913467299,2.1601839809709493 +2.4000000000000004,2.241873691282169,2.0662363761467715,2.246518436795396 +2.5,2.3262404196486823,2.1368405671057196,2.3320431184468564 +2.6,2.409558053273066,2.2059897998826776,2.4167336632681806 +2.7,2.4917773436764246,2.2736509700255993,2.5005666562500357 +2.8000000000000003,2.572849262469355,2.3397921156916963,2.583519931914766 +2.9000000000000004,2.6527254547822188,2.4043829232893774,2.665572830159637 +3.0,2.731358730862418,2.4673952729231092,2.7467064615530266 +3.1,2.8087034915219635,2.5288036844258506,2.8269039075045304 +3.2,2.8847161736157805,2.5885857799285645,2.906150418510457 +3.3000000000000003,2.9593556263598955,2.646722644493166,2.9844335513392193 +3.4000000000000004,3.0325834610234628,2.7031991448689916,3.0617432800949356 +3.5,3.1043643639707152,2.7580041886324618,3.1380720658583465 +3.6,3.174666348666379,2.81113090221466,3.2134148886220095 +3.7,3.2434609156562777,2.8625766857919506,3.287769222371925 +3.8000000000000003,3.3107232068624732,2.912343252586385,3.3611349894620903 +3.9000000000000004,3.376432145438176,2.96043666334358,3.433514521240825 +4.0,3.440570387193621,3.0068671047010502,3.5049124007706394 +4.1000000000000005,3.5031243905100506,3.051648841981867,3.575335384066715 +4.2,3.5640842996788447,3.0947999286360717,3.644792219903103 +4.3,3.6234438862765366,3.1363420076221615,3.713293507200042 +4.4,3.6812004057284984,3.1763000151740566,3.7808515196571753 +4.5,3.7373544453866536,3.2147018844688975,3.8474800295787652 +4.6000000000000005,3.7919097514412736,3.2515782408018765,3.9131941341700025 +4.7,3.8448730269519267,3.286962074356005,3.9780100775654272 +4.800000000000001,3.8962537331921245,3.320888427916325,4.041945078375687 +4.9,3.946063871106428,3.353394085710731,4.105017169409771 +5.0,3.994317764469119,3.384517262881094,4.167245032677979 +5.1000000000000005,4.041031846695479,3.4142973319997223,4.228647861567375 +5.2,4.086224437959434,3.442774530867417,4.289245211575076 +5.300000000000001,4.129915551510313,3.4699897416013665,4.349056890615491 +5.4,4.1721266886262915,3.4959842503430987,4.408102839618599 +5.5,4.21288062741608,3.5207994965950404,4.466403008045017 +5.6000000000000005,4.252201275897644,3.5444769473424094,4.523977292745336 +5.7,4.290113474559335,3.5670578821100802,4.580845434838383 +5.800000000000001,4.326642846079101,3.5885832559569635,4.637026952876818 +5.9,4.361815663143073,3.609093591481544,4.69254108983582 +6.0,4.395658684693883,3.628628826110191,4.747406742378118 +6.1000000000000005,4.4281990569312155,3.647228249046649,4.801642428562017 +6.2,4.459464194164425,3.664930413200162,4.855266246790142 +6.300000000000001,4.489481666265276,3.6817730566482574,4.908295839956584 +6.4,4.518279124418599,3.697793066747822,4.960748376334029 +6.5,4.545884206079683,3.7130264267106385,5.012640526403314 +6.6000000000000005,4.572324466059174,3.7275081860855206,5.063988448540458 +6.7,4.597627315376113,3.7412724400179482,5.114807779009524 +6.800000000000001,4.621819957450336,3.7543523118313864,5.165113625282672 +6.9,4.644929343618818,3.7667799448268546,5.214920561624462 +7.0,4.66698212835255,3.7785865009583035,5.264242629337085 +7.1000000000000005,4.68800463093862,3.7898021644296986,5.3130933392856186 +7.2,4.708022804899789,3.8004561457840667,5.361485673991 +7.300000000000001,4.727062211052025,3.8105766998566843,5.40943209724445 +7.4,4.745147994313752,3.820191132453243,5.456944557670516 +7.5,4.762304864444164,3.82932581218039,5.504034494950245 +7.6000000000000005,4.778557082076845,3.838006194952664,5.5507128525324 +7.7,4.793928450510846,3.8462568638106887,5.596990098168346 +7.800000000000001,4.808442300367148,3.8541015196658415,5.642876219540965 +7.9,4.822121483181468,3.8615630081152954,5.688380738339695 +8.0,4.834988375083356,3.8686633623031708,5.7335127316452645 +8.1,4.847064871426703,3.875423819021115,5.778280840765919 +8.200000000000001,4.858372380327439,3.881864828533812,5.82269327718585 +8.3,4.868931826086388,3.8880060843330724,5.8667578379532035 +8.4,4.878763661931239,3.8938665664571532,5.910481927502785 +8.5,4.887887861687646,3.8994645433314004,5.953872560045815 +8.6,4.896323924562259,3.9048175962407434,5.996936372657111 +8.700000000000001,4.904090885816587,3.909942650476442,6.03967964142951 +8.8,4.911207325625662,3.9148560020512035,6.082108295616392 +8.9,4.917691366761654,3.9195733266203048,6.1242279236618025 +9.0,4.923560684092222,3.9241097045581084,6.166043786645161 +9.1,4.928832519018745,3.928479650573735,6.2075608338151875 +9.200000000000001,4.9335236817633366,3.93269712694164,6.248783710648352 +9.3,4.937650558036087,3.9367755614127806,6.289716769052995 +9.4,4.941229119530885,3.9407278687240823,6.330364079243316 +9.5,4.944274936587991,3.9445664734397408,6.370729442254999 +9.600000000000001,4.946803180538338,3.948303321078252,6.410816396999899 +9.700000000000001,4.94882863356542,3.951949896607651,6.450628230757674 +9.8,4.950365700498587,3.9555172437673236,6.490167990088252 +9.9,4.951428416364445,3.9590159799631146,6.529438489632214 +10.0,4.952030453028487,3.9624563098020817,6.568442320259194 +10.100000000000001,4.952185128927903,3.9658480407819376,6.607181858251576 +10.200000000000001,4.9519054207804984,3.969200599777002,6.645659274904733 +10.3,4.951203967482533,3.972523043316177,6.683876543043288 +10.4,4.95009307869468,3.975824070864082,6.721835445028721 +10.5,4.948584742477424,3.9791120369945165,6.759537580212503 +10.600000000000001,4.946690639370791,3.982394967457899,6.7969843744114025 +10.700000000000001,4.944422148224649,3.9856805693573905,6.834177086340652 +10.8,4.941790349521138,3.9889762393060995,6.87111681300312 +10.9,4.93880603493441,3.992289075447778,6.907804497071395 +11.0,4.935479715388001,3.9956258878453212,6.944240933459992 +11.100000000000001,4.931821631690047,3.9989932094395404,6.980426776288184 +11.200000000000001,4.927841757021549,4.00239730373896,7.016362543858374 +11.3,4.923549804944148,4.005844174179808,7.0520486246960905 +11.4,4.918955236182815,4.009339572743965,7.087485283160184 +11.5,4.914067267723802,4.0128890088982265,7.122672665378144 +11.600000000000001,4.908894878008478,4.016497757179752,7.157610804227894 +11.700000000000001,4.903446812137242,4.020170864524053,7.192299624186282 +11.8,4.89773158866653,4.023913157790351,7.22673894638094 +11.9,4.891757505980731,4.027729250701367,7.260928493373747 +12.0,4.885532649254362,4.031623550346775,7.29486789385763 +12.100000000000001,4.879064894558942,4.0356002640086075,7.328556686980901 +12.200000000000001,4.872361914917624,4.039663405289691,7.3619943267155366 +12.3,4.8654311857553525,4.043816800092656,7.395180186046826 +12.4,4.858279990891663,4.048064091801979,7.428113560796432 +12.5,4.850915427231948,4.052408747156316,7.460793673685609 +12.600000000000001,4.843344409606594,4.056854061689141,7.493219678188168 +12.700000000000001,4.835573675793523,4.061403164724663,7.525390662168783 +12.8,4.8276097914255685,4.06605902409928,7.557305651442367 +12.9,4.819459154908843,4.070824450538196,7.588963613215474 +13.0,4.811128001458761,4.075702102772087,7.620363459535729 +13.100000000000001,4.802622407655572,4.0806944917304895,7.651504050568681 +13.200000000000001,4.79394829572398,4.085803984748695,7.68238419779775 +13.3,4.785111437829841,4.091032809026906,7.713002666877784 +13.4,4.776117460015877,4.096383056014379,7.743358180870322 +13.5,4.76697184612264,4.10185668525096,7.77344942322605 +13.600000000000001,4.757679941639064,4.107455527928011,7.803275040628848 +13.700000000000001,4.748246957456151,4.113181290072176,7.832833645678735 +13.8,4.738677973511389,4.11903555569958,7.862123819544006 +13.9,4.728977942241349,4.125019790896585,7.891144114952488 +14.0,4.7191516920364585,4.13113534671963,7.919893058711184 +14.100000000000001,4.709203930572682,4.137383462343751,7.948369154306686 +14.200000000000001,4.699139248052252,4.143765268102437,7.97657088444706 +14.3,4.688962120375377,4.150281786673526,8.004496712764414 +14.4,4.678676912196122,4.15693393710828,8.032145086783496 +14.5,4.668287879902964,4.1637225381667875,8.059514440572533 +14.600000000000001,4.657799174532272,4.17064831046707,8.086603196856446 +14.700000000000001,4.647214844600105,4.177711879105926,8.113409769336151 +14.8,4.636538838821358,4.184913775974095,8.139932564840896 +14.9,4.625775008576427,4.192254440831764,8.166169984803451 +15.0,4.614927110776396,4.199734225426238,8.192120428397681 +15.100000000000001,4.603998810336899,4.207353395430227,8.217782294485813 +15.200000000000001,4.59299368262067,4.215112132563344,8.243153983666353 +15.3,4.5819152158402545,4.223010536828704,8.268233900385532 +15.4,4.5707668132647985,4.231048628081349,8.293020454613288 +15.5,4.559551795369088,4.2392263475706775,8.317512063505701 +15.600000000000001,4.548273402336639,4.2475435613844015,8.341707154321343 +15.700000000000001,4.536934796080397,4.256000061858212,8.365604166001924 +15.8,4.525539062331737,4.264595569531071,8.38920155111388 +15.9,4.514089212674699,4.273329735069764,8.412497777768728 +16.0,4.502588186256743,4.282202140284321,8.435491330830619 +16.1,4.491038851876275,4.291212300500928,8.45818071419608 +16.2,4.479444009957663,4.300359666702834,8.480564452892365 +16.3,4.467806394284748,4.309643627017785,8.502641094661186 +16.400000000000002,4.456128673774844,4.319063508462728,8.524409211744413 +16.5,4.444413454168146,4.3286185785480535,8.545867402543795 +16.6,4.432663279457748,4.338308046218603,8.56701429268436 +16.7,4.420880633818081,4.348131064382833,8.587848537499315 +16.8,4.409067943131065,4.358086731348106,8.608368823529526 +16.900000000000002,4.397227576502225,4.36817409232597,8.628573870079958 +17.0,4.385361847768215,4.378392141009051,8.648462430833117 +17.1,4.37347301685411,4.388739820845187,8.668033295149442 +17.2,4.36156329107547,4.399216026248034,8.687285289294474 +17.3,4.349634826795715,4.40981960478463,8.7062172786417 +17.400000000000002,4.337689730659929,4.420549358359964,8.724828168850145 +17.5,4.325730060904346,4.4314040446643475,8.743116907293055 +17.6,4.313757828634738,4.442382378610883,8.761082484460559 +17.7,4.301774998893202,4.453483033332382,8.778723934893648 +17.8,4.28978349196552,4.464704641808858,8.79604033874456 +17.900000000000002,4.277785184639278,4.476045798436085,8.813030823255742 +18.0,4.265781911288164,4.4875050602379405,8.829694563851307 +18.1,4.253775464989563,4.4990809482121215,8.846030785340496 +18.2,4.241767598569899,4.51077194856807,8.862038762996102 +18.3,4.229760025388493,4.522576513452253,8.877717823139607 +18.400000000000002,4.217754420775035,4.53449306311019,8.893067344996862 +18.5,4.205752422946283,4.546519986980076,8.908086761553967 +18.6,4.19375563394971,4.558655644884196,8.922775560467889 +18.7,4.181765620627706,4.570898368303015,8.937133285016523 +18.8,4.169783915561806,4.5832464616440864,8.951159535007067 +18.900000000000002,4.1578120179981735,4.595698203506892,8.964853967642059 +19.0,4.145851394627785,4.608251847681148,8.978216298138697 +19.1,4.13390347941199,4.620905622207635,8.991246298807642 +19.200000000000003,4.121969675827729,4.6336577334609705,9.003943801972275 +19.3,4.110051357455993,4.646506366843669,9.016308700222176 +19.400000000000002,4.098149868592781,4.6594496875542175,9.028340946677424 +19.5,4.086266525031652,4.672485841735378,9.0400405554991 +19.6,4.07440261483074,4.685612957615259,9.051407602344877 +19.700000000000003,4.062559399065225,4.6988291466418035,9.06244222476876 +19.8,4.050738112483417,4.712132504465815,9.073144622546488 +19.900000000000002,4.038939963273783,4.725521110378511,9.0835150577575 +20.0,4.027166134908208,4.738993030413157,9.093553855250489 +20.1,4.015417786708924,4.752546318218517,9.103261402781182 +20.200000000000003,4.00369605429646,4.766179015736783,9.11263815106637 +20.3,3.9920020502262195,4.779889154225342,9.121684613818182 +20.400000000000002,3.9803368646127137,4.793674755268233,9.130401367714878 +20.5,3.9687015657423013,4.8075338317775955,9.138789052307192 +20.6,3.9570972006273535,4.8214643889172875,9.146848369943873 +20.700000000000003,3.9455247948010244,4.835464423949482,9.15458008695738 +20.8,3.933985353751516,4.84953192842062,9.161985031863999 +20.900000000000002,3.922479863481308,4.863664889103982,9.169064095029622 +21.0,3.9110092908371827,4.877861288618006,9.175818228658454 +21.1,3.899574584029387,4.89211910631547,9.18224844636457 +21.200000000000003,3.8881766731408924,4.906436319159161,9.188355822679089 +21.3,3.876816470627373,4.920810902584093,9.194141492492227 +21.400000000000002,3.8654948717841244,4.935240831322436,9.19960665053061 +21.5,3.854212754607201,4.94972407962943,9.204752553242596 +21.6,3.8429709808619066,4.964258622686256,9.209580515587747 +21.700000000000003,3.8317703966270518,4.978842437482697,9.214091909900528 +21.8,3.8206118325422875,4.993473503401771,9.21828816588915 +21.900000000000002,3.8094961042329416,5.008149802970614,9.222170769807503 +22.0,3.7984240127268256,5.0228693225952785,9.225741263570097 +22.1,3.7873963448634926,5.037630053279378,9.229001243809927 +22.200000000000003,3.7764138736860766,5.052429991323692,9.231952360951542 +22.3,3.7654773583883254,5.067267138890803,9.234596321287126 +22.400000000000002,3.754587545073795,5.0821395047749505,9.236934883281114 +22.5,3.743745167267768,5.097045105089983,9.238969855505058 +22.6,3.7329509461130788,5.111981963856611,9.240703096686566 +22.700000000000003,3.72220559072011,5.126948113616055,9.242136514591616 +22.8,3.7115097985103462,5.1419415960264345,9.243272064865193 +22.900000000000002,3.7008642555538667,5.15696046244178,9.244111749830827 +23.0,3.6902696368971153,5.17200277447403,9.24465761727822 +23.1,3.6797266065263448,5.187066604578512,9.244911761743195 +23.200000000000003,3.6692358179338123,5.2021500365522995,9.244876321462757 +23.3,3.6587979146112346,5.217251166022613,9.244553475772655 +23.400000000000002,3.648413530186188,5.232368100957708,9.243945444955935 +23.5,3.6380832887106895,5.247498962141988,9.243054488954378 +23.6,3.627807804944441,5.2626418836333,9.24188290605695 +23.700000000000003,3.617587684633055,5.277795013202322,9.240433031566495 +23.8,3.6074235247807036,5.2929565127546505,9.23870723645127 +23.900000000000002,3.5973159136622317,5.3081245589427235,9.236707927619843 +24.0,3.5872654312136034,5.323297343449113,9.234437545724697 +24.1,3.5772726494831977,5.338473073199074,9.23189856253398 +24.200000000000003,3.567338132738019,5.353649970832052,9.229093480478381 +24.3,3.5574624377022728,5.368826275044707,9.226024831313719 +24.400000000000002,3.5476461137915076,5.38400024091669,9.222695174779844 +24.5,3.537889703342565,5.399170140219103,9.21910709725748 +24.6,3.5281937418395617,5.414334261705657,9.215263210424617 +24.700000000000003,3.518558757955624,5.429490911619613,9.211166150452039 +24.8,3.5089852738141825,5.444638413895273,9.206818576536891 +24.900000000000002,3.499473805398981,5.459775110145804,9.202223168987707 +25.0,3.4900248626350523,5.474899360054655,9.197382628287007 +25.1,3.4806389495855226,5.490009541596324,9.19229967380799 +25.200000000000003,3.4713165646446114,5.505104051241241,9.186977042544168 +25.3,3.4620582007270073,5.520181304144829,9.181417487853725 +25.400000000000002,3.4528643454533783,5.535239734321436,9.175623778219096 +25.5,3.4437354811896825,5.550277795029741,9.16959869560469 +25.6,3.4346720852931085,5.565293958809077,9.163345034450991 +25.700000000000003,3.4256746303975656,5.580286717432609,9.156865600815165 +25.8,3.416743584502081,5.595254582153879,9.150163210963935 +25.900000000000002,3.4078794111329307,5.610196083816503,9.143240690215931 +26.0,3.3990825695025104,5.625109772949789,9.136100871808418 +26.1,3.3903535146650756,5.639994219850337,9.128746595790066 +26.200000000000003,3.3816926976682273,5.654848014652089,9.121180707930545 +26.3,3.373100565572438,5.669669767616858,9.113406057565397 +26.400000000000002,3.364577561681726,5.684458109023161,9.105425497283882 +26.5,3.356124125755623,5.699211689070773,9.097241882512575 +26.6,3.347740694086423,5.713929178011869,9.088858070012193 +26.700000000000003,3.3394276996313135,5.728609266165098,9.080276916894551 +26.8,3.3311855721416013,5.743250663917781,9.071501279670562 +26.900000000000002,3.3230147382891517,5.757852101716405,9.06253401333067 +27.0,3.314915621787984,5.772412330048959,9.053377970425803 +27.1,3.3068886434088096,5.786930119580072,9.044035998580688 +27.200000000000003,3.298934221181458,5.801404260975828,9.034510940963676 +27.3,3.2910527705456727,5.815833564794958,9.024805636038643 +27.400000000000002,3.2832447044201833,5.830216861494015,9.014922916136776 +27.5,3.2755104333085967,5.844553001360621,9.004865606666591 +27.6,3.267850365402664,5.8588408544370845,8.994636525356793 +27.700000000000003,3.2602649066830054,5.873079310434585,8.984238481532905 +27.8,3.252754461014341,5.887267278641842,8.973674275368598 +27.900000000000002,3.2453194301527972,5.901403687928333,8.962946695482774 +28.0,3.2379602139200054,5.9154874865339835,8.952058519913622 +28.1,3.2306772103089623,5.929517641930175,8.94101251582609 +28.200000000000003,3.2234708155412264,5.943493140728734,8.92981143833842 +28.3,3.2163414241492596,5.957412988549792,8.918458029925437 +28.400000000000002,3.2092894290563247,5.97127620988224,8.906955019852973 +28.5,3.2023152216540165,5.985081847936992,8.895305123644048 +28.6,3.1954191918737767,5.9988289644951305,8.883511042493952 +28.700000000000003,3.1886017281890786,6.012516639782627,8.871575461205206 +28.8,3.1818632177583366,6.02614397226762,8.859501049379068 +28.900000000000002,3.1752040464955,6.039710078486283,8.847290461057986 +29.0,3.1686245991144797,6.053214092874597,8.834946333859012 +29.1,3.162125259189915,6.066655167585238,8.822471288555914 +29.200000000000003,3.1557064092156315,6.080032472299048,8.809867928688597 +29.3,3.149368430660833,6.093345194031359,8.797138840200006 +29.400000000000002,3.1431117040197414,6.10659253693106,8.784286591007309 +29.5,3.13693660880529,6.119773722045848,8.771313729443486 +29.6,3.130843523663981,6.132887987149807,8.758222785380823 +29.700000000000003,3.124832826418117,6.1459345865285675,8.74501626986415 +29.8,3.1189048940955093,6.158912790754823,8.731696674546694 +29.900000000000002,3.1130601029699365,6.171821886467028,8.718266471428826 +30.0,3.107298828599366,6.1846611761444095,8.7047281126192 +30.1,3.101621445861961,6.197429977878582,8.691084030118134 +30.200000000000003,3.0960283289853594,6.21012762513408,8.677336635537397 +30.3,3.0905198515339958,6.222753466437162,8.663488319091337 +30.400000000000002,3.0850963864928573,6.235306865232091,8.649541450468131 +30.5,3.0797583062860454,6.247787199625886,8.635498378532896 +30.6,3.0745059827916004,6.260193862127876,8.621361431020754 +30.700000000000003,3.0693397873625434,6.272526259401417,8.607132914406813 +30.8,3.064260090845709,6.284783812013403,8.592815113793483 +30.900000000000002,3.059267263598391,6.296965954181769,8.578410292814837 +31.0,3.054361675495644,6.309072133498442,8.56392069346393 +31.1,3.049543695894005,6.321101810519434,8.54934853539516 +31.200000000000003,3.044813693715844,6.33305445874247,8.534696016846725 +31.3,3.040172037439516,6.344929564291655,8.519965314375591 +31.400000000000002,3.0356190950954365,6.356726625626521,8.505158582712598 +31.5,3.0311552342688164,6.368445153277932,8.490277954746746 +31.6,3.0267808221002674,6.380084669583161,8.475325541523338 +31.700000000000003,3.0224962252843106,6.391644708420354,8.460303432255696 +31.8,3.0183018100658003,6.4031248149425775,8.44521369435013 +31.900000000000002,3.014197942234283,6.414524545311644,8.430058373443837 +32.0,3.0101849871132647,6.425843466420737,8.414839493427266 +32.1,3.0062633094144466,6.437081155128786,8.399559055250302 +32.2,3.002433273357296,6.448237198476962,8.384219038209633 +32.300000000000004,2.998695242694461,6.459311193567287,8.368821400396438 +32.4,2.995049580638448,6.470302747086672,8.353368078261674 +32.5,2.9914966498404527,6.481211475030632,8.337860986692075 +32.6,2.9880368123669974,6.492037002427187,8.322302019094376 +32.7,2.9846704296743747,6.502778963061129,8.306693047487295 +32.800000000000004,2.981397862580909,6.513436999198794,8.291035922600896 +32.9,2.9782194712370504,6.524010761313544,8.275332473982925 +33.0,2.9751356150933055,6.534499907812089,8.259584510111724 +33.1,2.972146652819643,6.544904104447814,8.24379381857781 +33.2,2.969252942263833,6.555223024013426,8.227962166215862 +33.300000000000004,2.966454840501385,6.56545634666955,8.212091299115775 +33.4,2.963752703744819,6.575603759336799,8.196182942825375 +33.5,2.9611468872986064,6.585664955413018,8.180238802493305 +33.6,2.9586377455123145,6.595639634494424,8.164260563015663 +33.7,2.9562256317315048,6.605527502097738,8.148249889186603 +33.800000000000004,2.9539108982463937,6.615328269383427,8.132208425852498 +33.9,2.951693896238286,6.625041652880204,8.11613779806927 +34.0,2.949574975723774,6.634667374210896,8.100039611262494 +34.1,2.9475544854763918,6.644205159679038,8.083915451583616 +34.2,2.9456327729103573,6.653654739609847,8.067766886608304 +34.300000000000004,2.9438101841307702,6.663015848861357,8.051595464428907 +34.4,2.942087063826202,6.672288226260978,8.035402714229178 +34.5,2.9404637551939308,6.681471614285521,8.019190146527608 +34.6,2.9389405998689937,6.690565758785019,8.002959253363908 +34.7,2.937517937850899,6.699570408707863,7.986711508486864 +34.800000000000004,2.9361961074280027,6.708485315827337,7.970448367543209 +34.9,2.93497544509955,6.717310234469657,7.954171268267199 +35.0,2.933856285495378,6.726044921243611,7.937881630670492 +35.1,2.9328389612900603,6.734689134737041,7.921580857321711 +35.2,2.9319238030791173,6.743242634830263,7.905270334615954 +35.300000000000004,2.931111139342797,6.751705182983407,7.888951431542411 +35.4,2.9304012963504236,6.760076541908423,7.87262550003936 +35.5,2.9297945980581095,6.768356475196733,7.85629387546731 +35.6,2.9292913660134703,6.776544747049994,7.8399578768206695 +35.7,2.9288919192579286,6.784641122012333,7.823618806939383 +35.800000000000004,2.9285965742266025,6.792645364704142,7.807277952720275 +35.9,2.928405644645781,6.800557239557466,7.790936585327822 +36.0,2.9283194414279805,6.808376510553095,7.774595960404063 +36.1,2.9283382725646248,6.81610294095867,7.758257318281557 +36.2,2.9284624430265542,6.823736292904638,7.74192188513458 +36.300000000000004,2.928692254644787,6.83127632723918,7.725590872540887 +36.4,2.9290280059887213,6.838722803387228,7.709265477029417 +36.5,2.929469992255116,6.84607547900023,7.69294688083643 +36.6,2.9300185051488836,6.8533341097,7.676636252132022 +36.7,2.930673832761474,6.860498448824385,7.6603347452459785 +36.800000000000004,2.931436259446844,6.86756824717478,7.644043500892793 +36.9,2.9323060656950104,6.8745432527655534,7.627763646395633 +37.0,2.9332835280031864,6.881423210575459,7.611496295909052 +37.1,2.9343689187444997,6.888207862301056,7.595242550640257 +37.2,2.9355625060391235,6.894896946088795,7.579003499508586 +37.300000000000004,2.9368645536222098,6.901490196272992,7.56278021973273 +37.4,2.938275320691028,6.907987343205086,7.546573775743729 +37.5,2.9397950617709934,6.914388112981794,7.53038522003576 +37.6,2.9414240265727796,6.920692227207044,7.514215593423956 +37.7,2.9431624598467647,6.926899402757443,7.498065925277645 +37.800000000000004,2.9450106012350616,6.9330093515500675,7.4819372337526024 +37.9,2.9469686851211443,6.939021780312644,7.465830526022197 +38.0,2.949036940477057,6.944936390356154,7.449746798507256 +38.1,2.951215590708215,6.950752877349931,7.433687037104564 +38.2,2.9535048535053043,6.956470931142735,7.417652217563947 +38.300000000000004,2.9559049407296407,6.962090235750154,7.401643306429701 +38.400000000000006,2.958416058174382,6.967610468789025,7.385661260059492 +38.5,2.9610384054228174,6.973031301368686,7.369707025211175 +38.6,2.9637721756890523,6.978352397915672,7.353781539387859 +38.7,2.9666175556495933,6.983573415970706,7.337885731075353 +38.800000000000004,2.96957472527261,6.988694005989016,7.322020519978788 +38.900000000000006,2.972643857644883,6.993713811144032,7.306186817258347 +39.0,2.9758251187964286,6.998632467134518,7.290385525764001 +39.1,2.9791186675228185,7.003449601995247,7.274617540269185 +39.2,2.9825246552081186,7.008164835932962,7.258883747729387 +39.300000000000004,2.9860432257134892,7.012777781667939,7.243185028141743 +39.400000000000006,2.989674515111799,7.01728804365907,7.227522254059203 +39.5,2.9934186514947485,7.021695217885296,7.21189629076629 +39.6,2.997275754808584,7.025998891859014,7.196307996727053 +39.7,3.001245936664125,7.030198644470733,7.180758223824277 +39.800000000000004,3.005329300144612,7.034294045838599,7.165247817598021 +39.900000000000006,3.009525939611381,7.038284657162843,7.149777617483466 +40.0,3.0138359405073634,7.042170030585291,7.134348457048015 +40.1,3.018259379158424,7.045949709054006,7.1189611642275725 +40.2,3.022796322572542,7.049623226193163,7.103616561561994 +40.300000000000004,3.027446828254307,7.053190106331646,7.088315466523448 +40.400000000000006,3.0322109441119696,7.056649865368543,7.07305869235257 +40.5,3.037088708073483,7.060002009107827,7.057847047341744 +40.6,3.042080147921892,7.063246033543279,7.042681335307139 +40.7,3.047185281106448,7.066381424954743,7.0275623559406935 +40.800000000000004,3.052404114531566,7.069407659834199,7.012490905053239 +40.900000000000006,3.0577366443438514,7.072324204819423,6.9974677748174425 +41.0,3.0631828557172205,7.075130516635387,6.982493754010533 +41.1,3.068742722636119,7.077826042043549,6.967569628256795 +41.2,3.0744162076768533,7.0804102177991854,6.9526961802698235 +41.300000000000004,3.0802032617870507,7.082882470616921,6.937874190094503 +41.400000000000006,3.086103824105213,7.0852422175720395,6.923104435444331 +41.5,3.0921178218202074,7.087488866936028,6.908387692133673 +41.6,3.098245169750452,7.089621816183783,6.893724733875056 +41.7,3.1044857701969693,7.091640452818348,6.879116332704441 +41.800000000000004,3.1108395127243753,7.093544154488811,6.86456325924603 +41.900000000000006,3.1173062739322037,7.095332289037249,6.850066282958774 +42.0,3.123885917224657,7.097004214557062,6.835626172382973 +42.1,3.1305782925787944,7.098559279462891,6.821243695386957 +42.2,3.137383236311177,7.099996822572366,6.806919619413842 +42.300000000000004,3.144300570842999,7.1013161731998835,6.79265471172836 +42.400000000000006,3.1513301044637076,7.102516651262653,6.7784497396637695 +42.5,3.158471631188831,7.103597568258516,6.7643054709514026 +42.6,3.1657249305329036,7.1045582275071695,6.750222673978283 +42.7,3.1730897670789506,7.1053979225902735,6.736202117870473 +42.800000000000004,3.180565890343207,7.1061159384688635,6.722244572832516 +42.900000000000006,3.1881530345360676,7.106711551694853,6.708350810398592 +43.0,3.1958509183207937,7.107184030628443,6.6945216036829915 +43.1,3.203659244571123,7.107532635671738,6.680757727630881 +43.2,3.2115777001277994,7.107756619518862,6.667059959269356 +43.300000000000004,3.2196059555540657,7.107855227422885,6.653429077958789 +43.400000000000006,3.2277436648901356,7.1078276974798325,6.639865865644484 +43.5,3.235990465408304,7.107673260939728,6.626371107107822 +43.6,3.2443459775403922,7.107391143557375,6.612945590131926 +43.7,3.2528098044859663,7.106980565083918,6.599590105825232 +43.800000000000004,3.2613815318704837,7.106440739076426,6.586305448920192 +43.900000000000006,3.270060727586919,7.105770873813482,6.573092417981051 +44.0,3.278846941548931,7.104970172712902,6.559951815655322 +44.1,3.287739705443515,7.104037834770488,6.5468844489254385 +44.2,3.296738532483188,7.1029730550201755,6.5338911293606 +44.300000000000004,3.3058429171577424,7.101775025015951,6.520972673368781 +44.400000000000006,3.315052334985603,7.10044293333589,6.508129902448934 +44.5,3.324366242264835,7.098975966108668,6.495363643443363 +44.6,3.333784075841223,7.097373307571846,6.4826747287653195 +44.7,3.3433052530981073,7.0956341407671335,6.470063996308199 +44.800000000000004,3.3529291713954343,7.093757647977064,6.457532290144862 +44.900000000000006,3.3626552078466894,7.0917430113588535,6.445080460742046 +45.0,3.372482719136508,7.089589413623489,6.432709365116337 +45.1,3.382411041275546,7.087296038707356,6.4204198670801755 +45.2,3.3924394893556356,7.084862072469068,6.408212837487498 +45.300000000000004,3.402567357305299,7.082286703411869,6.396089154478981 +45.400000000000006,3.412793917645657,7.0795691234319555,6.38404970372688 +45.5,3.4231184212467816,7.076708528593111,6.372095378679445 +45.6,3.43354009708456,7.073704119927995,6.360227080804883 +45.7,3.444058152069129,7.0705551038995145,6.348445719708899 +45.800000000000004,3.454671771102912,7.067260691706562,6.336752212845642 +45.900000000000006,3.4653801163060396,7.0638201029223575,6.325147486705906 +46.0,3.4761823269477032,7.06023256551755,6.313632476754121 +46.1,3.4870775192564163,7.056497316541338,6.302208127580914 +46.2,3.498064786188536,7.052613603051215,6.290875393130551 +46.300000000000004,3.509143197198208,7.048580683069065,6.279635236926815 +46.400000000000006,3.5203117980087866,7.044397826563894,6.268488632297275 +46.5,3.5315696103858105,7.040064316461464,6.257436562595895 +46.6,3.5429156319116006,7.035579449681098,6.246480021423931 +46.7,3.5543488357615445,7.0309425381999375,6.2356200128490595 +46.800000000000004,3.5658681706785167,7.026152908238094,6.2248575512261 +46.900000000000006,3.5774725609763656,7.02120989920732,6.214193660960858 +47.0,3.589160905642806,7.016112871451264,6.203629378094744 +47.1,3.600932078439958,7.010861204346102,6.193165749876542 +47.2,3.6127849277168353,7.005454297246701,6.1828038349180074 +47.300000000000004,3.6247182762078425,6.9998915706182325,6.172544703379932 +47.400000000000006,3.636730920834215,6.994172467189657,6.162389437154522 +47.5,3.648821632508497,6.98829645312911,6.152339130044007 +47.6,3.6609891559421612,6.982263019241219,6.1423948879353745 +47.7,3.6732322094564442,6.97607168218636,6.13255782897112 +47.800000000000004,3.685549484796517,6.969721985721921,6.122829083715919 +47.900000000000006,3.697939647377047,6.963213497141074,6.11320979446933 +48.0,3.710401335991356,6.956545809819885,6.103701115646252 +48.1,3.7229331620761235,6.949718550837435,6.09430421504269 +48.2,3.7355337098995154,6.942731378250115,6.085020273270805 +48.300000000000004,3.748201536409841,6.935583982257719,6.075850483870991 +48.400000000000006,3.760935171089195,6.928276086379254,6.066796053417069 +48.5,3.773733115812438,6.920807448635686,6.0578582016140095 +48.6,3.7865938447116543,6.91317786273912,6.049038161387981 +48.7,3.799515804046225,6.905387159287926,6.040337178968534 +48.800000000000004,3.8124974120786645,6.897435206967296,6.031756513962736 +48.900000000000006,3.8255370593605864,6.889321910118016,6.023297438811801 +49.0,3.83863310849025,6.881047211118053,6.0149612390448 +49.1,3.8517838935149844,6.87261109601858,6.006749214068254 +49.2,3.8649877201557388,6.8640135928440005,5.998662676717366 +49.300000000000004,3.878242865728818,6.855254772677362,5.9907029532643525 +49.400000000000006,3.891547579075392,6.846334750737751,5.982871383415789 +49.5,3.90490008049899,6.8372536874484675,5.975169320298673 +49.6,3.918298561711173,6.828011789495053,5.967598130434928 +49.7,3.931741185785561,6.818609310872336,5.9601591937041025 +49.800000000000004,3.9452260871204072,6.809046553919547,5.952853903293988 +49.900000000000006,3.9587513720668017,6.7993238653022425,5.94568366449161 +50.0,3.9723151186586723,6.789441638940802,5.938649895045921 +50.1,3.9859153758624606,6.779400322679871,5.931754026372488 +50.2,3.9995501640778164,6.769200415414283,5.924997502576268 +50.300000000000004,4.0132174751693235,6.758842467869776,5.918381780296648 +50.400000000000006,4.026915272509771,6.74832708335194,5.911908328535544 +50.5,4.040641491035219,6.737654918461963,5.905578628468181 +50.6,4.054394037312122,6.72682668377779,5.899394173236167 +50.7,4.068170789616748,6.715843144499269,5.893356467722505 +50.800000000000004,4.081969598027301,6.704705121055526,5.887467028307991 +50.900000000000006,4.095788285307417,6.693413487581669,5.881727381773988 +51.0,4.109624646684133,6.681969173360657,5.87613906538536 +51.1,4.123476449168504,6.670373165488121,5.8707036274584645 +51.2,4.137341432267665,6.658626507792071,5.865422626431805 +51.300000000000004,4.1512173081707475,6.646730301158945,5.860297630495286 +51.400000000000006,4.1651017619510595,6.634685703807892,5.855330217196408 +51.5,4.178992451784856,6.622493931511712,5.850521973022913 +51.6,4.19288700918704,6.61015625776279,5.845874492961445 +51.7,4.206783039264111,6.597674013882459,5.841389380031742 +51.800000000000004,4.220678120985335,6.585048589072716,5.83706824479551 +51.900000000000006,4.234569808526104,6.572281431387503,5.832912704175259 +52.0,4.2484556310592705,6.559374047183807,5.828924381237255 +52.1,4.2623330920660765,6.546328000046124,5.825104905262747 +52.2,4.276199670413817,6.533144911269962,5.821455910690522 +52.300000000000004,4.29005282075551,6.519826459631309,5.817979036471791 +52.400000000000006,4.303889973952031,6.506374381090888,5.8146759253955596 +52.5,4.3177085375171576,6.492790468431669,5.811548223383944 +52.6,4.3315058960859645,6.479076570828125,5.808597578756908 +52.7,4.345279411906979,6.465234593345714,5.805825641465898 +52.800000000000004,4.359026425359506,6.4512664963754185,5.803234062295835 +52.900000000000006,4.37274425624166,6.437174300057377,5.800824492033982 +53.0,4.386430203934951,6.422960080837742,5.798598580607616 +53.1,4.400081547332984,6.40862596617604,5.796557976188833 +53.2,4.4136955459552905,6.394174137040079,5.794704324264093 +53.300000000000004,4.427269440616396,6.379606827125175,5.793039266670109 +53.400000000000006,4.440800454123706,6.364926322006618,5.7915644405949465 +53.5,4.454285792004727,6.350134958224336,5.790281477543782 +53.6,4.467722643264138,6.335235122298714,5.789192002268819 +53.7,4.4811081811711935,6.320229249676563,5.788297631662822 +53.800000000000004,4.494439564079323,6.305119823624719,5.787599973619246 +53.900000000000006,4.5077139368974395,6.289909382727528,5.787100627496841 +54.0,4.520928431608581,6.274600514542464,5.786801181940513 +54.1,4.534080167675269,6.259195847144672,5.786703212278184 +54.2,4.547166253381297,6.243698053232955,5.78680828027009 +54.300000000000004,4.56018378683234,6.228109848921167,5.787117932827146 +54.400000000000006,4.5731298569920815,6.212433992475429,5.787633700693566 +54.5,4.5860015447544455,6.196673282996984,5.788357097093398 +54.6,4.598795924052483,6.180830559050444,5.789289616340561 +54.7,4.611510063004488,6.16490869723725,5.790432732412054 +54.800000000000004,4.624141025095357,6.148910610744484,5.791787897495526 +54.900000000000006,4.636685869612504,6.132839257246329,5.793356544089409 +55.0,4.649141653400321,6.116697631390993,5.795140081203884 +55.1,4.661505432752695,6.100488756049001,5.797139890072084 +55.2,4.673774264275285,6.0842156863518,5.799357324724829 +55.300000000000004,4.685945206241426,6.067881508236797,5.801793710451275 +55.400000000000006,4.69801531998719,6.051489336960508,5.804450342229432 +55.5,4.709981671346074,6.035042315580466,5.807328483126496 +55.6,4.721841332123816,6.018543613406546,5.8104293626689705 +55.7,4.7335913816138335,6.001996424422367,5.813754175182517 +55.800000000000004,4.745228908141058,5.985403965711938,5.817304078129057 +55.900000000000006,4.756751007842785,5.968769483474188,5.821080196491232 +56.0,4.768154788192926,5.952096246242067,5.825083616938481 +56.1,4.779437371632033,5.935387537902835,5.829315381825848 +56.2,4.790595895650497,5.918646660440789,5.8337764909417436 +56.300000000000004,4.801627514468629,5.901876932435707,5.838467899859169 +56.400000000000006,4.812529400753652,5.885081687555382,5.843390518271885 +56.5,4.823298747373822,5.868264273043608,5.848545208316069 +56.6,4.833932769189953,5.851428048204957,5.85393278287796 +56.7,4.844428704884551,5.834576382887714,5.859554003888002 +56.800000000000004,4.854783818793275,5.817712655988332,5.8654095806503666 +56.900000000000006,4.8649953968862985,5.8008402576099645,5.871500176174802 +57.0,4.875060752906389,5.7839625849454235,5.8778263997237445 +57.1,4.884977234101009,5.767083038439485,5.884388799953089 +57.2,4.89474221993014,5.750205022338255,5.891187867656018 +57.300000000000004,4.904353123941238,5.733331943303991,5.898224034238582 +57.400000000000006,4.913807395668689,5.716467209046705,5.905497670205492 +57.5,4.923102522557457,5.699614226974189,5.913009083657362 +57.6,4.932236031910657,5.6827764028621655,5.920758518800617 +57.7,4.941205492860745,5.665957139546226,5.928746154471322 +57.800000000000004,4.950008518310408,5.6491598356311465,5.936972102720421 +57.900000000000006,4.9586427597415526,5.632387883413612,5.945436413589499 +58.0,4.9671059137431115,5.615644668158693,5.9541390698113545 +58.1,4.9753957282817405,5.598933567373092,5.963079981770673 +58.2,4.983510000990665,5.582257949200506,5.972258989391568 +58.300000000000004,4.991446580886749,5.565621171235278,5.981675861107022 +58.400000000000006,4.999203370072343,5.5490265793654,5.991330292882613 +58.5,5.006778325420092,5.532477506646361,6.001221907297069 +58.6,5.014169460238853,5.515977272207348,6.011350252682245 +58.7,5.0213748459008825,5.499529179348864,6.021714801078106 +58.800000000000004,5.028392613447271,5.483136513713284,6.032314946307887 +58.900000000000006,5.035220955236048,5.466802544627345,6.043150006760821 +59.0,5.041858126489833,5.4505305230124135,6.054219223107463 +59.1,5.0483024468372095,5.434323680352545,6.065521757593964 +59.2,5.054552301824867,5.418185227734843,6.077056693456908 +59.300000000000004,5.060606144397844,5.402118354924319,6.08882303440316 +59.400000000000006,5.066462496346024,5.386126229474439,6.100819704156765 +59.5,5.072119948629261,5.370211995377308,6.113045546487052 +59.6,5.077577157012292,5.354378769621312,6.125499327073746 +59.7,5.082832851886774,5.338629645302299,6.138179730046096 +59.800000000000004,5.087885837113739,5.322967689766252,6.15108535874869 +59.900000000000006,5.092734990212898,5.307395943429866,6.1642147360571675 +60.0,5.097379263271125,5.291917418993583,6.177566304483406 +60.1,5.101817683776844,5.276535100685852,6.191138426372611 +60.2,5.106049355377342,5.261251943539278,6.204929384194781 +60.300000000000004,5.110073458567743,5.246070872644532,6.2189373807697415 +60.400000000000006,5.113889251644091,5.2309947808123605,6.233160534742303 +60.5,5.117496070879824,5.216026529502377,6.247596885806586 +60.6,5.120893330880628,5.201168948534745,6.262244396300046 +60.7,5.124080525044148,5.186424834915733,6.277100950155389 +60.800000000000004,5.127057225809875,5.171796952236851,6.292164353566832 +60.900000000000006,5.129823084812797,5.157288030102697,6.307432335745288 +61.0,5.132377832937876,5.142900763587816,6.3229025497640094 +61.1,5.13472128027248,5.128637812722906,6.338572573496242 +61.2,5.136853317596437,5.114501800813028,6.354439908020854 +61.300000000000004,5.138773916320242,5.100495313838648,6.370501978431104 +61.400000000000006,5.140483125424799,5.08662090199246,6.386756139355699 +61.5,5.14198107254616,5.0728810781417435,6.4031996737708665 +61.6,5.143267963503133,5.0592783173720015,6.419829794214705 +61.7,5.14434408170954,5.045815056558863,6.436643644096072 +61.800000000000004,5.145209787476144,5.032493693962767,6.45363829908693 +61.900000000000006,5.1458655171998435,5.0193165888464195,6.47081076859887 +62.0,5.146311784139362,5.006286060835935,6.488157995301934 +62.1,5.146549182226234,4.993404388787682,6.505676850944528 +62.2,5.146578376196162,4.9806738119012275,6.523364148536392 +62.300000000000004,5.1464001036134,4.968096528884659,6.541216640195758 +62.400000000000006,5.146015174188189,4.9556746975659145,6.559231018183975 +62.5,5.145424468540002,4.943410434596664,6.577403916541316 +62.6,5.144628936858833,4.931305815174161,6.595731912778994 +62.7,5.143629597463261,4.919362872780861,6.614211529626745 +62.800000000000004,5.142427535902102,4.907583598893384,6.632839236442436 +62.900000000000006,5.141023911781405,4.895969942126704,6.651611445927886 +63.0,5.1394199471826925,4.8845238087558,6.670524521995031 +63.1,5.137616925671651,4.873247062458931,6.689574781198381 +63.2,5.135616192610758,4.862141523972482,6.708758493362908 +63.300000000000004,5.133419153472362,4.851208970902632,6.728071883408966 +63.400000000000006,5.131027272077001,4.84045113755043,6.747511133205807 +63.5,5.12844206875725,4.829869714749974,6.767072383452128 +63.6,5.125665118461558,4.81946634971922,6.786751735574751 +63.7,5.122698055324636,4.809242645875941,6.806545250255103 +63.800000000000004,5.119542567585075,4.799200162735002,6.826448950951993 +63.900000000000006,5.116200390149867,4.789340415833849,6.846458828628919 +64.0,5.112673306444156,4.779664876601761,6.866570841641393 +64.10000000000001,5.108963146513672,4.770174972266724,6.886780917549927 +64.2,5.105071785090547,4.760872085772787,6.907084954930501 +64.3,5.101001139624323,4.75175755570752,6.927478825180202 +64.4,5.096753168279907,4.742832676239265,6.947958374315651 +64.5,5.09232987021819,4.734098697062516,6.968519424398699 +64.60000000000001,5.087733286741956,4.725556823351836,6.989157774809851 +64.7,5.08296549151389,4.717208215730708,7.009869205218326 +64.8,5.078028591963245,4.7090539902424045,7.030649476775383 +64.9,5.0729247275969875,4.701095218330643,7.051494333770802 +65.0,5.06765606812274,4.693332926828026,7.072399505294179 +65.10000000000001,5.062224811577308,4.685768097951799,7.093360706868569 +65.2,5.056633182463642,4.678401669306605,7.114373642053922 +65.3,5.0508834301847,4.671234533959646,7.135434004243788 +65.4,5.044977829133855,4.664267540900526,7.1565374797259595 +65.5,5.03891867421116,4.657501494449315,7.177679747073789 +65.60000000000001,5.03270827967128,4.650937154433181,7.198856479117016 +65.7,5.0263489777396675,4.644575236309628,7.220063344668532 +65.8,5.019843116955641,4.638416411225842,7.241296009969768 +65.9,5.013193060552769,4.632461306084609,7.262550140095338 +66.0,5.006401184879728,4.626710503616569,7.2838214003147455 +66.10000000000001,4.999469877831535,4.621164542464037,7.305105457475241 +66.2,4.992401535736108,4.615823917534776,7.326397984503266 +66.3,4.985198563242251,4.610689079871501,7.347694658985736 +66.4,4.977863372455967,4.605760436660267,7.368991163300874 +66.5,4.970398380925488,4.601038351444298,7.390283187097657 +66.60000000000001,4.962806010291024,4.59652314424216,7.4115664285157346 +66.7,4.955088684989886,4.592215091671704,7.432836595362112 +66.8,4.947248831019822,4.588114427079519,7.454089406243123 +66.9,4.939288874763507,4.584221340675736,7.4753205916500285 +67.0,4.931211239654359,4.580535979939365,7.496525897212996 +67.10000000000001,4.923018344127449,4.577058449883071,7.517701085690943 +67.2,4.914712605172545,4.573788812662015,7.5388419333939565 +67.3,4.906296434978236,4.570727088020883,7.559944233514562 +67.4,4.897772239868057,4.567873253480534,7.581003797194788 +67.5,4.889142419327505,4.565227244527233,7.602016454525068 +67.60000000000001,4.880409365091395,4.562788954808256,7.622978055506802 +67.7,4.871575460293589,4.560558236333762,7.643884470977798 +67.8,4.862643076557613,4.558534899831302,7.664731595017665 +67.9,4.853614572219592,4.5567187150328685,7.685515346552869 +68.0,4.844492296134008,4.555109410587495,7.706231666981406 +68.10000000000001,4.835278584701507,4.553706674452115,7.726876522652244 +68.2,4.825975761126195,4.552510154139368,7.7474459057624925 +68.3,4.816586134763189,4.551519456969947,7.767935835202036 +68.4,4.807112000522189,4.550734150331897,7.788342357370804 +68.5,4.79755563832819,4.550153761946801,7.808661546968624 +68.60000000000001,4.787919310501695,4.5497777802764015,7.828889509078327 +68.7,4.778205260171445,4.549605654875263,7.849022380620358 +68.8,4.768415715536999,4.549636796388616,7.869056328204849 +68.9,4.758552887113064,4.54987057699911,7.888987550327882 +69.0,4.748618967249143,4.550306330742051,7.908812278173753 +69.10000000000001,4.738616129733605,4.550943353825999,7.928526776376755 +69.2,4.728546529442062,4.551780904961245,7.948127343767852 +69.3,4.718412302030304,4.552818205696189,7.967610314106781 +69.4,4.708215562250397,4.554054440845501,7.986972057335059 +69.5,4.697958402890522,4.555488758892063,8.006208980597524 +69.60000000000001,4.687642897767353,4.557120272160377,8.025317527742363 +69.7,4.677271099935245,4.558948057282841,8.044294180625881 +69.8,4.666845041438233,4.560971155585643,8.063135459841568 +69.9,4.656366733124975,4.563188573481616,8.081837925430962 +70.0,4.6458381644960625,4.565599282871882,8.100398177588417 +70.10000000000001,4.635261303583338,4.568202221556338,8.118812857360494 +70.2,4.624638095983204,4.57099629364751,8.13707864739112 +70.3,4.6139704642355595,4.573980369995302,8.155192272644628 +70.4,4.603260309807975,4.577153288636882,8.173150500977167 +70.5,4.592509512052311,4.580513855236372,8.190950143881514 +70.60000000000001,4.581719928132147,4.584060843539498,8.208588057175762 +70.7,4.570893392992801,4.58779299583742,8.226061141689906 +70.8,4.560031719352278,4.5917090234396545,8.243366343952308 +70.9,4.549136697712473,4.595807607156117,8.260500656876712 +71.0,4.538210096050444,4.600087397710071,8.27746111995743 +71.10000000000001,4.527253659633123,4.6045470161844,8.294244819618397 +71.2,4.516269111885299,4.609185054715738,8.310848891067945 +71.3,4.505258154061998,4.614000076918253,8.32727051839528 +71.4,4.49422246530764,4.6189906184020355,8.343506935208254 +71.5,4.483163702737011,4.624155187302177,8.359555425284087 +71.60000000000001,4.472083501528163,4.629492264816469,8.37541332322051 +71.7,4.460983475026458,4.635000305751706,8.391078015087707 +71.8,4.449865214870448,4.640677738957708,8.406546938369448 +71.9,4.438730291124246,4.64652296780103,8.421817582089027 +72.0,4.4275802523818415,4.6525343710303,8.436887489192943 +72.10000000000001,4.416416625921596,4.658710303207227,8.451754256328584 +72.2,4.405240917854893,4.665049095280225,8.466415534414113 +72.3,4.3940546132806455,4.671549055169072,8.48086902922604 +72.4,4.382859176445234,4.678208468356957,8.495112501983572 +72.5,4.371656050907014,4.6850255984899025,8.509143769929901 +72.60000000000001,4.360446659920035,4.6919986878155555,8.522960706067995 +72.7,4.349232406776552,4.6991259576636555,8.536561239066295 +72.8,4.3380146744432935,4.706405609485761,8.549943355931983 +72.9,4.326794826007972,4.713835825271672,8.563105101518248 +73.0,4.3155742048836405,4.721414768162047,8.576044578978017 +73.10000000000001,4.3043541350078165,4.729140583071881,8.588759950234662 +73.2,4.293135921042699,4.737011397319216,8.601249436441853 +73.3,4.281920848575723,4.745025321258989,8.613511318432364 +73.4,4.270710184626612,4.753180448752084,8.625543936436067 +73.5,4.259505178100929,4.7614748576682455,8.637345689909289 +73.60000000000001,4.248307059198269,4.769906610971154,8.648915039799586 +73.7,4.237117040002577,4.778473757152625,8.660250508020539 +73.8,4.225936314715146,4.787174330867213,8.671350677744648 +73.9,4.214766059875429,4.796006353575719,8.682214193703084 +74.0,4.203607434580188,4.804967834191264,8.692839762465704 +74.10000000000001,4.1924615807003365,4.814056769727743,8.703226152700866 +74.2,4.181329623320978,4.823271145841689,8.713372195073736 +74.3,4.170212671512169,4.832608937215314,8.723276781619534 +74.4,4.159111817488784,4.842068108714488,8.732938867517259 +74.5,4.148028137229295,4.851646615844092,8.742357470634834 +74.60000000000001,4.136962690754361,4.861342405365931,8.751531671556354 +74.7,4.125916522355936,4.87115341593883,8.760460613651782 +74.8,4.114890660823442,4.881077578758065,8.769143503117515 +74.9,4.103886119666588,4.891112818193811,8.777579608987043 +75.0,4.092903897441404,4.901257052387205,8.78576826309183 +75.10000000000001,4.081944978566337,4.911508193654784,8.793708859902493 +75.2,4.0710103326656455,4.9218641494558195,8.80140085660035 +75.3,4.060100915015649,4.9323228229314475,8.80884377291807 +75.4,4.049217666858194,4.942882113490418,8.816037190969492 +75.5,4.038361515625932,4.953539917423888,8.822980755059877 +75.60000000000001,4.027533375164077,4.9642941285162525,8.829674171460635 +75.7,4.016734145948312,4.975142638651693,8.836117208147742 +75.8,4.005964715339613,4.986083338407778,8.842309694562122 +75.9,3.9952259583377576,4.99711411754166,8.848251522054047 +76.0,3.984518737163138,5.008232865708735,8.853942642615143 +76.10000000000001,3.973843901509326,5.019437473038119,8.85938306854074 +76.2,3.9632022888845477,5.030725830683029,8.864572872187582 +76.3,3.9525947248265783,5.042095831389655,8.869512185517529 +76.4,3.9420220231140517,5.053545370059015,8.874201199603407 +76.5,3.931484985973957,5.065072344301514,8.87864016409638 +76.60000000000001,3.920984404293563,5.076674654984634,8.882829386687721 +76.7,3.910521058199164,5.088350206806389,8.886769233996446 +76.80000000000001,3.900095716937875,5.100096908797474,8.890460129681815 +76.9,3.8897091389554834,5.1119126748330155,8.893902553307775 +77.0,3.8793620722380604,5.1237954241598,8.897097040227196 +77.10000000000001,3.8690552545118164,5.135743081901755,8.900044180884404 +77.2,3.858789413439495,5.14775357955594,8.902744620082569 +77.30000000000001,3.848565266813148,5.159824855478754,8.90519905621565 +77.4,3.838383522743285,5.171954855362044,8.907408240465275 +77.5,3.828244880066522,5.1841415328346026,8.909372977479961 +77.60000000000001,3.818150028453522,5.196382849872282,8.911094123999334 +77.7,3.808099648368298,5.208676777108776,8.912572586455484 +77.80000000000001,3.798094411393958,5.221021294361394,8.913809321068621 +77.9,3.7881349804152094,5.233414391060274,8.914805332957942 +78.0,3.7782220097976356,5.245854066666368,8.915561675224478 +78.10000000000001,3.768356145563692,5.258338331077877,8.916079448006045 +78.2,3.75853802556533,5.270865205024846,8.916359797504409 +78.30000000000001,3.748768279756664,5.283432720602351,8.916403916029685 +78.4,3.7390475304190254,5.296038921727057,8.916213041572057 +78.5,3.72937639209189,5.30868186415818,8.91578845441389 +78.60000000000001,3.719755471852726,5.321359616018778,8.915131477273787 +78.7,3.710185369483186,5.334070258143807,8.914243474314377 +78.80000000000001,3.700666677630133,5.346811884412724,8.91312585011005 +78.9,3.6911999819637002,5.359582602069603,8.911780048597409 +79.0,3.681785861332298,5.372380532030556,8.91020755200896 +79.10000000000001,3.672424887957489,5.38520380929827,8.908409880316874 +79.2,3.6631176276703648,5.398050583488159,8.906388591208103 +79.30000000000001,3.65386463988115,5.410919018603801,8.904145276812141 +79.4,3.6446664777957585,5.423807293498353,8.90168156348106 +79.5,3.6355236885675093,5.436713602149863,8.898999110800336 +79.60000000000001,3.6264368134396814,5.449636153905987,8.89609961051374 +79.7,3.6174063878853553,5.462573173716057,8.89298478544266 +79.80000000000001,3.6084329417445127,5.475522902350401,8.889656388400603 +79.9,3.599516999377244,5.488483596703781,8.88611620132335 +80.0,3.590659079879362,5.5014535304220304,8.882366035156233 +80.10000000000001,3.5818596970704006,5.514430993355595,8.87840772711699 +80.2,3.5731193596637927,5.527414291953738,8.874243140114254 +80.30000000000001,3.564438571404367,5.540401749491167,8.869874161817256 +80.4,3.5558178311916007,5.553391706221877,8.865302703592347 +80.5,3.547257633200234,5.566382519520274,8.860530699443224 +80.60000000000001,3.5387584669982783,5.579372564009423,8.855560104955805 +80.7,3.5303208176623837,5.592360231676315,8.850392896248641 +80.80000000000001,3.521945165890562,5.605343931974041,8.84503106892984 +80.9,3.5136319881933957,5.618322092453106,8.839476637655572 +81.0,3.5053817570543577,5.631293159190801,8.833731635490276 +81.10000000000001,3.497194940822662,5.6442555954365,8.827798111336433 +81.2,3.48907200392272,5.657207882378154,8.821678129713211 +81.30000000000001,3.481013406961154,5.670148519228103,8.81537376981551 +81.4,3.4730196068285992,5.683076023278155,8.80888712456657 +81.5,3.465091056799202,5.695988929943459,8.80222029968651 +81.60000000000001,3.4572282066278364,5.708885792795102,8.795375412777851 +81.7,3.4494315026450386,5.721765183581428,8.788354592429025 +81.80000000000001,3.4417013878498826,5.734625692245294,8.781159977323382 +81.9,3.4340383020225285,5.747465927624476,8.773793714065762 +82.0,3.4264426817950824,5.7602845168926455,8.766257957370899 +82.10000000000001,3.4189149607262066,5.773080105179175,8.758554869917235 +82.2,3.4114555693959376,5.7858513558886,8.750686620890363 +82.30000000000001,3.404064935487762,5.798596950676791,8.742655385173045 +82.4,3.396743483868528,5.811315589417552,8.73446334255698 +82.5,3.3894916366661683,5.824005990159716,8.726112676977117 +82.60000000000001,3.382309813345265,5.836666889074772,8.717605575769502 +82.7,3.375198430780463,5.849297040395059,8.708944228953511 +82.80000000000001,3.3681579033304074,5.86189521642039,8.700130828249293 +82.9,3.361188642930569,5.874460208122527,8.691167563857308 +83.0,3.3542910591272896,5.886990824103525,8.68205662736857 +83.10000000000001,3.347465559148844,5.899485890675882,8.672800210485343 +83.2,3.34071254797363,5.911944251911749,8.663400503851847 +83.30000000000001,3.3340324283915175,5.924364769546278,8.653859696424615 +83.4,3.327425601063161,5.936746322873507,8.644179974867356 +83.5,3.320892464577271,5.949087808634953,8.634363522970936 +83.60000000000001,3.3144334155058743,5.961388140900979,8.624412521099215 +83.7,3.3080488484575588,5.9736462509450305,8.614329145661381 +83.80000000000001,3.30173915612403,5.985861087258814,8.604115567508531 +83.9,3.2955047293206143,5.998031615689464,8.593773949396864 +84.0,3.2893459570535155,6.010156818661142,8.583306450255836 +84.10000000000001,3.2832632265566657,6.022235695289121,8.572715222780811 +84.2,3.2772569233339395,6.034267261255696,8.562002412782336 +84.30000000000001,3.2713274312001235,6.046250548657233,8.551170158733207 +84.4,3.2654751323199203,6.058184605845854,8.540220591338906 +84.5,3.2597004072449804,6.070068497265996,8.529155833131822 +84.60000000000001,3.254003634948983,6.081901303285923,8.517977998089622 +84.7,3.2483851928607774,6.093682120024343,8.506689191278209 +84.80000000000001,3.242845456861525,6.105410059266842,8.49529150636049 +84.9,3.23738480132419,6.1170842482548125,8.483787025937222 +85.0,3.2320035991824243,6.128703829382991,8.472177823900296 +85.10000000000001,3.2267022219287487,6.140267960083681,8.460465963448994 +85.2,3.2214810396367186,6.151775812634934,8.448653496774309 +85.30000000000001,3.2163404209810826,6.163226573965061,8.43674246476321 +85.4,3.211280733255948,6.174619445453536,8.424734896722844 +85.5,3.206302342390945,6.185953642728551,8.412632810124727 +85.60000000000001,3.201405612965406,6.197228395461303,8.400438210369105 +85.7,3.196590908219853,6.208442947159232,8.388153090455116 +85.80000000000001,3.191858590052397,6.219596554994039,8.375779428546862 +85.9,3.1872090190427103,6.230688489541917,8.363319190349932 +86.0,3.182642554458596,6.241718034565564,8.350774329007168 +86.10000000000001,3.1781595542558643,6.252684486807326,8.338146784248586 +86.2,3.1737603750802656,6.263587155768487,8.325438482212943 +86.30000000000001,3.1694453722674263,6.274425363486507,8.312651335284961 +86.4,3.165214899840809,6.285198444310344,8.299787241948172 +86.5,3.1610693105076817,6.295905744674063,8.286848086653293 +86.60000000000001,3.1570089556531147,6.306546622868834,8.273835739702095 +86.7,3.153034185324153,6.317120448778916,8.260752056818323 +86.80000000000001,3.149145348189519,6.327626603517247,8.247598877793068 +86.9,3.1453427915808585,6.338064479427948,8.234378028638229 +87.0,3.1416268614610545,6.3484334797751325,8.221091320786957 +87.10000000000001,3.1379979024035234,6.358733018487948,8.207740550850518 +87.2,3.1344562575733517,6.368962519921697,8.19432750054886 +87.30000000000001,3.1310022687063856,6.3791214186181175,8.180853936652584 +87.4,3.1276362760862915,6.389209159064946,8.167321610936185 +87.5,3.1243586185195715,6.399225195454934,8.153732260142311 +87.60000000000001,3.12116963330855,6.409168991444438,8.140087605956888 +87.7,3.118069656210355,6.419040019782901,8.126389354550659 +87.80000000000001,3.115059021401514,6.428837762024617,8.11263919641527 +87.9,3.11213806147299,6.438561708590111,8.098838807415166 +88.0,3.1093071073799896,6.4482113583626575,8.084989848246044 +88.10000000000001,3.1065664884040443,6.4577862184391135,8.071093964434208 +88.2,3.1039165321133084,6.467285803883922,8.05715278635505 +88.30000000000001,3.101357564320793,6.476709637483367,8.043167929259717 +88.4,3.098889909040532,6.486057249500176,8.029140993309817 +88.5,3.096513888441682,6.495328177428637,8.015073563619882 +88.60000000000001,3.094229822800552,6.5045219657503495,8.00096721030737 +88.7,3.09203803045057,6.513638165690733,7.986823488549971 +88.80000000000001,3.089938827709968,6.522676334706148,7.972643938242596 +88.9,3.087932528822317,6.531636036171499,7.95843008396185 +89.0,3.086019445944851,6.540516839736163,7.944183435942492 +89.10000000000001,3.0841998890658426,6.5493183207596495,7.929905489671452 +89.2,3.0824741659431227,6.558040060059283,7.9155977259560295 +89.30000000000001,3.0808425820408414,6.566681643663729,7.901261611004425 +89.4,3.079305440464114,6.575242662567473,7.886898596510851 +89.5,3.077863041891525,6.5837227124863835,7.8725101197449066 +89.60000000000001,3.076515684505513,6.5921213936144465,7.8580976036449774 +89.7,3.0752636639206092,6.600438310381794,7.843662456915388 +89.80000000000001,3.074107273109554,6.6086730712141355,7.829206074127009 +89.9,3.0730468023305924,6.616825288076861,7.81472983612669 +90.0,3.0720825390498687,6.624894576201216,7.800235110195294 +90.10000000000001,3.071214767854236,6.632880554296174,7.785723249526357 +90.2,3.0704437703726337,6.640782844065005,7.7711955936896535 +90.30000000000001,3.0697698251916448,6.648601069962838,7.756653468759968 +90.4,3.0691932077688664,6.65633485895874,7.742098187444301 +90.5,3.0687141903441386,6.663983840299398,7.72753104921145 +90.60000000000001,3.068333041848623,6.671547645274486,7.712953340423753 +90.7,3.068050027811744,6.679025906983805,7.69836633447076 +90.80000000000001,3.0678654102659704,6.6864182601063105,7.683771291904552 +90.9,3.0677794476494555,6.693724340671082,7.669169460576515 +91.0,3.067792394712178,6.700943785674679,7.654562076249969 +91.10000000000001,3.0679045024147085,6.708076232844267,7.639950362775819 +91.2,3.068116017813477,6.715121320715063,7.62533553131727 +91.30000000000001,3.0684271839610076,6.7220786882389385,7.610718781011715 +91.4,3.0688382397980147,6.728947974559796,7.596101299131673 +91.5,3.069349420043302,6.735728818792658,7.581484261242032 +91.60000000000001,3.069960955081501,6.742420859804956,7.566868831358251 +91.7,3.0706730708486663,6.749023736000107,7.552256162105288 +91.80000000000001,3.071485988715713,6.755537085103453,7.537647394877043 +91.9,3.0723999253697003,6.761960543950637,7.523043659996138 +92.0,3.073415092692962,6.768293748278509,7.508446076873801 +92.10000000000001,3.0745316976669796,6.774536332487831,7.4938557547891484 +92.2,3.075749942246949,6.7806879294397335,7.479273793042968 +92.30000000000001,3.077070023186127,6.786748170309951,7.464701280004674 +92.4,3.078492131934536,6.7927166843582905,7.450139293920212 +92.5,3.0800164545083457,6.798593098732116,7.435588903093816 +92.60000000000001,3.0816431713569696,6.804377038272963,7.42105116606581 +92.7,3.0833724572280534,6.810068125326141,7.406527131790621 +92.80000000000001,3.085204481030374,6.81566597955343,7.392017839814817 +92.9,3.0871394056946286,6.821170217748901,7.377524320455091 +93.0,3.0891773880321356,6.826580453657992,7.363047594975942 +93.10000000000001,3.09131857859143,6.831896297799856,7.348588675766972 +93.2,3.0935631215712456,6.8371173574741935,7.334148567120477 +93.30000000000001,3.095911154667516,6.842243236573706,7.319728265351883 +93.4,3.098362808826157,6.847273535114865,7.305328757972903 +93.5,3.100918208149683,6.852207849255086,7.290951024465645 +93.60000000000001,3.103577469745419,6.857045771139236,7.276596036477032 +93.7,3.1063407035714885,6.861786888749498,7.262264758010511 +93.80000000000001,3.1092080122808463,6.866430785759505,7.247958145617679 +93.9,3.112179491063358,6.870977041392824,7.233677148589743 +94.0,3.115255227485944,6.875425230285909,7.219422709148667 +94.10000000000001,3.1184353013307766,6.8797749223555735,7.205195762637928 +94.2,3.1217197844315447,6.884025682671102,7.190997237712761 +94.30000000000001,3.1251087405671187,6.888177071669432,7.176828057024295 +94.4,3.1286022252837338,6.892228644978475,7.162689137323217 +94.5,3.132200285633875,6.896179952781168,7.148581388884076 +94.60000000000001,3.135902960061184,6.900030540028258,7.134505716161942 +94.7,3.139710278229083,6.903779946346068,7.120463017994706 +94.80000000000001,3.1436222608474718,6.907427705949272,7.106454187803961 +94.9,3.1476389194976577,6.910973347559711,7.092480113795773 +95.0,3.151760256455539,6.91441639433137,7.0785416791611935 +95.10000000000001,3.15598626451304,6.917756363781626,7.0646397622765 +95.2,3.1603169267978104,6.920992767728873,7.050775236903064 +95.30000000000001,3.1647522165912125,6.924125112236662,7.036948972386757 +95.4,3.1692920972393375,6.927152898122922,7.023161834241743 +95.5,3.173936521943959,6.930075620778293,7.009414684252886 +95.60000000000001,3.1786854334403514,6.932892769334583,6.995708380124904 +95.7,3.183538763893857,6.935603827139345,6.982043776026129 +95.80000000000001,3.188496434712295,6.938208271751346,6.968421722796367 +95.9,3.193558356356762,6.940705574943695,6.95484306815422 +96.0,3.198724428151008,6.943095202715518,6.9413086569042735 +96.10000000000001,3.2039945380893573,6.945376615312345,6.927819331144154 +96.2,3.209368562643234,6.947549267255356,6.914375930471387 +96.30000000000001,3.214846366566277,6.949612607379642,6.900979292189988 +96.4,3.2204278026980777,6.951566078881638,6.887630251516799 +96.5,3.2261127118682325,6.95340911995944,6.8743296420032936 +96.60000000000001,3.2319009226697673,6.955141163720702,6.861078295682608 +96.7,3.237792251125931,6.956761637495809,6.847877042992604 +96.80000000000001,3.243786500574125,6.958269963414591,6.834726713162164 +96.9,3.2498834614667214,6.9596655585235,6.821628134423342 +97.0,3.256082911170856,6.96094783491431,6.808582134223439 +97.10000000000001,3.262384613767245,6.962116199864834,6.795589539437127 +97.2,3.2687883198480687,6.963170055991845,6.782651176578579 +97.30000000000001,3.2752937663139483,6.964108801416443,6.769767872013557 +97.4,3.281900676170026,6.964931829942069,6.756940452171485 +97.5,3.288608758367834,6.965638531386782,6.74416974373244 +97.60000000000001,3.295417707617975,6.966228291842683,6.731456573829255 +97.7,3.3023272040766463,6.9667004935684735,6.718801770316655 +97.80000000000001,3.3093369131954007,6.967054515392891,6.706206161952375 +97.9,3.3164464855164377,6.967289732968992,6.693670578606899 +98.0,3.3236555564663264,6.967405519039791,6.681195851473441 +98.10000000000001,3.330963746149205,6.967401243718592,6.66878281327763 +98.2,3.3383706591394957,6.967276274784269,6.656432298486849 +98.30000000000001,3.3458758842741787,6.967029977991714,6.644145143519184 +98.4,3.3534789944446324,6.966661717397684,6.631922186952006 +98.5,3.3611795464629193,6.966170855803801,6.6197642697291945 +98.60000000000001,3.3689770809521042,6.965556755248527,6.607672235367651 +98.7,3.376871121866579,6.964818777013651,6.595646930167719 +98.80000000000001,3.384861176405487,6.963956282180867,6.583689203418397 +98.9,3.3929467348151214,6.962968632054637,6.5717999076033555 +99.0,3.4011272701840958,6.961855188592343,6.559979898606439 +99.10000000000001,3.4094022382387092,6.960615314852003,6.5482300359165935 +99.2,3.4177710771385685,6.959248375457816,6.5365511828321585 +99.30000000000001,3.4262332072725146,6.957753737083789,6.5249442066644905 +99.4,3.4347880310548837,6.956130768955695,6.513409978940925 +99.5,3.4434349327708658,6.9543788431819324,6.50194937552932 +99.60000000000001,3.4521732785060646,6.952497334776885,6.490563276628219 +99.7,3.461002415678205,6.950485623255075,6.479252567391758 +99.80000000000001,3.469921672936583,6.948343092814243,6.468018137967923 +99.9,3.4789303599793704,6.9460691328601945,6.45686088366796 +100.0,3.4880277673576505,6.943663138605678,6.445781705157098