GET /api/crires_2905nm_2990nm_vstar_cw_tau/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        2.9055967731141035,
        2.9056090573278053,
        2.9056213415415066,
        2.9056336257552076,
        2.9056459099689094,
        2.905658194182611,
        2.905670478396312,
        2.9056827626100135,
        2.905695046823715,
        2.9057073310374166,
        2.905719615251118,
        2.9057318994648194,
        2.9057441836785207,
        2.905756467892222,
        2.9057687521059234,
        2.9057810363196253,
        2.9057933205333266,
        2.905805604747028,
        2.9058178889607293,
        2.9058301731744303,
        2.9058424573881325,
        2.905854741601834,
        2.905867025815535,
        2.905879310029236,
        2.905891594242938,
        2.905903878456639,
        2.9059161626703407,
        2.905928446884042,
        2.9059407310977434,
        2.905953015311445,
        2.905965299525146,
        2.905977583738848,
        2.9059898679525493,
        2.9060021521662507,
        2.9060144363799516,
        2.9060267205936534,
        2.906039004807355,
        2.906051289021056,
        2.9060635732347575,
        2.9060758574484593,
        2.9060881416621602,
        2.9061004258758616,
        2.9061127100895634,
        2.9061249943032648,
        2.906137278516966,
        2.9061495627306675,
        2.9061618469443684,
        2.9061741311580707,
        2.906186415371772,
        2.906198699585473,
        2.9062109837991748,
        2.906223268012876,
        2.906235552226577,
        2.906247836440279,
        2.9062601206539806,
        2.9062724048676816,
        2.906284689081383,
        2.9062969732950843,
        2.906309257508786,
        2.9063215417224875,
        2.906333825936189,
        2.9063461101498897,
        2.9063583943635916,
        2.906370678577293,
        2.9063829627909943,
        2.906395247004696,
        2.9064075312183975,
        2.9064198154320984,
        2.9064320996457997,
        2.906444383859502,
        2.9064566680732034,
        2.9064689522869043,
        2.9064812365006056,
        2.9064935207143074,
        2.906505804928009,
        2.90651808914171,
        2.9065303733554115,
        2.906542657569113,
        2.9065549417828143,
        2.9065672259965156,
        2.906579510210217,
        2.906702352347231,
        2.906714636560933,
        2.9067269207746342,
        2.9067392049883356,
        2.906751489202037,
        2.906763773415738,
        2.90677605762944,
        2.9067883418431415,
        2.9068006260568424,
        2.9068129102705442,
        2.9068251944842456,
        2.9068374786979465,
        2.9068497629116483,
        2.90686204712535,
        2.906874331339051,
        2.9068866155527524,
        2.9068988997664538,
        2.9069111839801556,
        2.906923468193857,
        2.9069357524075583,
        2.9069480366212592,
        2.906960320834961,
        2.906972605048663,
        2.9070954471856765,
        2.9071077313993783,
        2.9071200156130796,
        2.9071322998267806,
        2.9071445840404824,
        2.9071568682541837,
        2.907169152467885,
        2.9071814366815865,
        2.9071937208952883,
        2.9072674261774964,
        2.9072797103911983,
        2.907291994604899,
        2.9073042788186005,
        2.9073165630323023,
        2.9073288472460037,
        2.907341131459705,
        2.9073534156734064,
        2.9073656998871074,
        2.9073779841008096,
        2.907390268314511,
        2.907402552528212,
        2.9074148367419133,
        2.907427120955615,
        2.907439405169316,
        2.907451689383018,
        2.9074639735967196,
        2.9074762578104205,
        2.907488542024122,
        2.9075008262378232,
        2.907513110451525,
        2.9075253946652264,
        2.907537678878928,
        2.9075499630926287,
        2.9075622473063305,
        2.9075745315200323,
        2.9075868157337332,
        2.9075990999474346,
        2.9076113841611364,
        2.9076236683748373,
        2.9076359525885387,
        2.907648236802241,
        2.907660521015942,
        2.907672805229643,
        2.9076850894433446,
        2.907697373657046,
        2.9077096578707478,
        2.907721942084449,
        2.90773422629815,
        2.907746510511852,
        2.907758794725553,
        2.907771078939254,
        2.907783363152956,
        2.9077956473666577,
        2.9078079315803587,
        2.90782021579406,
        2.9078325000077614,
        2.907844784221463,
        2.9078570684351646,
        2.907869352648866,
        2.9078816368625677,
        2.9078939210762687,
        2.9079062052899705,
        2.907918489503672,
        2.907930773717373,
        2.9079430579310745,
        2.907955342144776,
        2.907967626358477,
        2.907979910572179,
        2.9079921947858804,
        2.9080044789995814,
        2.9080167632132827,
        2.9080290474269845,
        2.908041331640686,
        2.9080536158543873,
        2.908065900068089,
        2.90807818428179,
        2.9080904684954914,
        2.9081027527091927,
        2.9081150369228945,
        2.908127321136596,
        2.9081396053502973,
        2.908151889563998,
        2.9081641737777,
        2.908176457991402,
        2.9081887422051027,
        2.908201026418804,
        2.908213310632506,
        2.908225594846207,
        2.908237879059908,
        2.90825016327361,
        2.9082624474873113,
        2.9082747317010127,
        2.908287015914714,
        2.9082993001284154,
        2.9083115843421172,
        2.9083238685558186,
        2.9083361527695195,
        2.9083484369832213,
        2.9083607211969227,
        2.9083730054106236,
        2.9083852896243254,
        2.908397573838027,
        2.908409858051728,
        2.9084221422654295,
        2.908434426479131,
        2.9084467106928327,
        2.908520415975041,
        2.9085327001887427,
        2.908544984402444,
        2.908557268616145,
        2.9085695528298463,
        2.9085818370435486,
        2.90859412125725,
        2.908606405470951,
        2.908704679180562,
        2.9088029528901735,
        2.9088152371038754,
        2.9088275213175763,
        2.9088398055312776,
        2.9088520897449794,
        2.908864373958681,
        2.908876658172382,
        2.9088889423860835,
        2.908901226599785,
        2.9089135108134867,
        2.908925795027188,
        2.908938079240889,
        2.908950363454591,
        2.908962647668292,
        2.9089749318819935,
        2.908987216095695,
        2.9089995003093967,
        2.9090117845230976,
        2.909024068736799,
        2.9090363529505003,
        2.909048637164202,
        2.9090609213779035,
        2.909073205591605,
        2.909085489805306,
        2.9090977740190076,
        2.9091100582327094,
        2.9091223424464103,
        2.909134626660112,
        2.9091469108738135,
        2.9091591950875144,
        2.909171479301216,
        2.909183763514918,
        2.909196047728619,
        2.9092083319423203,
        2.9092206161560217,
        2.909232900369723,
        2.909245184583425,
        2.909257468797126,
        2.9092697530108276,
        2.909282037224529,
        2.9092943214382303,
        2.909343458293036,
        2.909355742506737,
        2.909368026720439,
        2.9093803109341407,
        2.9093925951478417,
        2.909404879361543,
        2.909417163575245,
        2.9094294477889457,
        2.9094417320026476,
        2.909454016216349,
        2.9094663004300503,
        2.9094785846437516,
        2.909490868857453,
        2.909503153071154,
        2.909515437284856,
        2.9095277214985575,
        2.9095400057122585,
        2.9095522899259603,
        2.9095645741396616,
        2.909576858353363,
        2.9095891425670644,
        2.909601426780766,
        2.909613710994467,
        2.9096259952081684,
        2.90963827942187,
        2.9096505636355716,
        2.909662847849273,
        2.9096751320629743,
        2.9096874162766753,
        2.909699700490377,
        2.909711984704079,
        2.90972426891778,
        2.9097365531314816,
        2.909748837345183,
        2.909761121558884,
        2.9097734057725853,
        2.9097856899862875,
        2.9097979741999884,
        2.90981025841369,
        2.909822542627391,
        2.9098348268410925,
        2.9098471110547943,
        2.9098593952684957,
        2.9098716794821966,
        2.9098839636958984,
        2.9098962479095998,
        2.909908532123301,
        2.9099208163370025,
        2.9099331005507043,
        2.9099453847644052,
        2.9099576689781066,
        2.9099699531918084,
        2.90998223740551,
        2.909994521619211,
        2.9100068058329125,
        2.9100190900466143,
        2.910031374260315,
        2.910043658474017,
        2.9100559426877184,
        2.9100682269014198,
        2.910080511115121,
        2.9100927953288225,
        2.9101050795425234,
        2.9101173637562257,
        2.910129647969927,
        2.910141932183628,
        2.9102156374658366,
        2.910227921679538,
        2.9102402058932393,
        2.910252490106941,
        2.9102647743206425,
        2.910277058534344,
        2.9102893427480447,
        2.9103016269617465,
        2.9103384796028506,
        2.9103507638165524,
        2.9103630480302534,
        2.910375332243955,
        2.910387616457657,
        2.910399900671358,
        2.9104121848850593,
        2.9104244690987606,
        2.910436753312462,
        2.910449037526164,
        2.910461321739865,
        2.910473605953566,
        2.910485890167268,
        2.9104981743809692,
        2.9105104585946706,
        2.910522742808372,
        2.910535027022074,
        2.9105473112357747,
        2.910559595449476,
        2.910571879663178,
        2.9105841638768792,
        2.9105964480905806,
        2.910608732304282,
        2.9106210165179833,
        2.9106333007316847,
        2.9106455849453865,
        2.9106578691590874,
        2.9106701533727892,
        2.9106824375864906,
        2.910694721800192,
        2.910707006013893,
        2.910719290227595,
        2.9107315744412965,
        2.9107438586549974,
        2.9107561428686988,
        2.9107684270824006,
        2.910780711296102,
        2.9107929955098033,
        2.910805279723505,
        2.910817563937206,
        2.9108298481509074,
        2.910842132364609,
        2.9108544165783106,
        2.910866700792012,
        2.9108789850057133,
        2.910891269219414,
        2.910903553433116,
        2.910915837646818,
        2.9109281218605187,
        2.91094040607422,
        2.910952690287922,
        2.910964974501623,
        2.9109772587153246,
        2.9109895429290265,
        2.9110018271427274,
        2.9110141113564287,
        2.91102639557013,
        2.9110386797838315,
        2.9110509639975333,
        2.9110632482112346,
        2.9110755324249356,
        2.9110878166386374,
        2.9111001008523387,
        2.91111238506604,
        2.9111246692797415,
        2.9111369534934433,
        2.911149237707144,
        2.9111615219208455,
        2.911173806134547,
        2.9111860903482487,
        2.91119837456195,
        2.9112106587756514,
        2.911222942989353,
        2.911235227203054,
        2.911247511416756,
        2.911259795630457,
        2.9112720798441587,
        2.91128436405786,
        2.911296648271561,
        2.911308932485263,
        2.9113212166989646,
        2.9113335009126655,
        2.911345785126367,
        2.9113580693400682,
        2.9113703535537696,
        2.9113826377674714,
        2.911394921981173,
        2.9114072061948746,
        2.9114194904085755,
        2.911431774622277,
        2.9114440588359787,
        2.91145634304968,
        2.9114686272633814,
        2.9114809114770828,
        2.9114931956907837,
        2.9115054799044855,
        2.9115177641181873,
        2.911530048331888,
        2.9115423325455896,
        2.9115546167592914,
        2.9115669009729923,
        2.911579185186694,
        2.9115914694003955,
        2.911603753614097,
        2.911616037827798,
        2.9116283220414996,
        2.911640606255201,
        2.9116528904689027,
        2.911665174682604,
        2.911677458896305,
        2.911689743110007,
        2.911702027323708,
        2.9117143115374096,
        2.911726595751111,
        2.9117388799648127,
        2.9117511641785137,
        2.911763448392215,
        2.911775732605917,
        2.911788016819618,
        2.9118003010333195,
        2.911812585247021,
        2.9118248694607223,
        2.9118371536744236,
        2.9118494378881254,
        2.9118617221018264,
        2.911874006315528,
        2.9118862905292295,
        2.9118985747429305,
        2.9119108589566323,
        2.911923143170334,
        2.911935427384035,
        2.9119477115977364,
        2.9119599958114377,
        2.911972280025139,
        2.911984564238841,
        2.9119968484525423,
        2.912009132666243,
        2.912021416879945,
        2.9120337010936463,
        2.9120459853073477,
        2.9120582695210495,
        2.912070553734751,
        2.912082837948452,
        2.912095122162153,
        2.912107406375855,
        2.9121196905895568,
        2.9121319748032577,
        2.912144259016959,
        2.912156543230661,
        2.912168827444362,
        2.9121811116580636,
        2.912193395871765,
        2.9122056800854663,
        2.9122179642991677,
        2.912230248512869,
        2.9122425327265704,
        2.912254816940272,
        2.9122671011539736,
        2.9122793853676745,
        2.9122916695813763,
        2.9123039537950777,
        2.912316238008779,
        2.9123285222224804,
        2.912340806436182,
        2.912353090649883,
        2.9123653748635845,
        2.9123776590772863,
        2.9123899432909877,
        2.912402227504689,
        2.9124145117183904,
        2.9124267959320913,
        2.912439080145793,
        2.912451364359495,
        2.912463648573196,
        2.9124759327868976,
        2.912488217000599,
        2.9125005012143,
        2.9125127854280017,
        2.9125250696417035,
        2.9125373538554045,
        2.912549638069106,
        2.912561922282807,
        2.9125742064965086,
        2.9125864907102104,
        2.9125987749239117,
        2.9126110591376126,
        2.9126233433513145,
        2.912635627565016,
        2.912647911778717,
        2.912660195992419,
        2.9126724802061204,
        2.9126847644198213,
        2.9126970486335226,
        2.912709332847225,
        2.912721617060926,
        2.912733901274627,
        2.9127461854883285,
        2.91275846970203,
        2.9127707539157313,
        2.912783038129433,
        2.9127953223431344,
        2.912807606556836,
        2.912819890770537,
        2.9128321749842385,
        2.91284445919794,
        2.9128567434116417,
        2.912869027625343,
        2.912881311839044,
        2.912893596052746,
        2.912905880266447,
        2.9129181644801485,
        2.91293044869385,
        2.9129427329075517,
        2.9129550171212526,
        2.912967301334954,
        2.9129795855486558,
        2.912991869762357,
        2.9130041539760585,
        2.91301643818976,
        2.913028722403461,
        2.9130410066171626,
        2.9130532908308644,
        2.9130655750445653,
        2.913077859258267,
        2.9130901434719685,
        2.9131024276856694,
        2.9132375540363853,
        2.9133972488145035,
        2.9134095330282053,
        2.9134218172419066,
        2.9134341014556075,
        2.9134463856693094,
        2.913458669883011,
        2.913470954096712,
        2.9134832383104134,
        2.9134955225241153,
        2.9135078067378166,
        2.913520090951518,
        2.9135323751652193,
        2.913544659378921,
        2.913556943592622,
        2.9135692278063234,
        2.9135815120200252,
        2.9135937962337266,
        2.913606080447428,
        2.9136183646611293,
        2.9136306488748303,
        2.913642933088532,
        2.913655217302234,
        2.913667501515935,
        2.913679785729636,
        2.913692069943338,
        2.913704354157039,
        2.9137166383707407,
        2.9137289225844425,
        2.9137412067981434,
        2.9137534910118448,
        2.913765775225546,
        2.913778059439248,
        2.9137903436529493,
        2.9138026278666507,
        2.9138149120803516,
        2.9138271962940534,
        2.9138394805077548,
        2.913851764721456,
        2.9138640489351575,
        2.9138763331488593,
        2.91388861736256,
        2.9139009015762616,
        2.9139131857899634,
        2.9139254700036648,
        2.913937754217366,
        2.9139500384310675,
        2.913962322644769,
        2.91397460685847,
        2.913986891072172,
        2.913999175285873,
        2.9140114594995747,
        2.914023743713276,
        2.914036027926977,
        2.914048312140679,
        2.9140605963543806,
        2.9140728805680816,
        2.914085164781783,
        2.9140974489954843,
        2.9141097332091856,
        2.9141220174228875,
        2.914134301636589,
        2.91414658585029,
        2.9141588700639915,
        2.914171154277693,
        2.9141834384913943,
        2.914195722705096,
        2.9142080069187974,
        2.914220291132499,
        2.9142325753461997,
        2.914244859559902,
        2.9142571437736033,
        2.9142694279873043,
        2.9142817122010056,
        2.9142939964147074,
        2.9143062806284084,
        2.91431856484211,
        2.9143308490558115,
        2.914343133269513,
        2.9143554174832143,
        2.9143677016969156,
        2.9143799859106174,
        2.914392270124319,
        2.91440455433802,
        2.914416838551721,
        2.914429122765423,
        2.9144414069791242,
        2.9144536911928256,
        2.914465975406527,
        2.9147362281079583,
        2.915055617664195,
        2.9150679018778964,
        2.9150801860915982,
        2.915092470305299,
        2.9151047545190005,
        2.9151170387327023,
        2.9151293229464037,
        2.915141607160105,
        2.9151538913738064,
        2.9151661755875073,
        2.9151784598012096,
        2.915190744014911,
        2.915203028228612,
        2.9152153124423137,
        2.915227596656015,
        2.915239880869716,
        2.915252165083418,
        2.9152644492971196,
        2.9152767335108205,
        2.915289017724522,
        2.9153013019382232,
        2.915313586151925,
        2.9153258703656264,
        2.9153381545793278,
        2.9153504387930287,
        2.9153627230067305,
        2.915375007220432,
        2.915387291434133,
        2.915399575647835,
        2.9154118598615364,
        2.9154241440752373,
        2.9154364282889387,
        2.915448712502641,
        2.915460996716342,
        2.915473280930043,
        2.9154855651437446,
        2.915497849357446,
        2.9155101335711473,
        2.915522417784849,
        2.91553470199855,
        2.915546986212252,
        2.915559270425953,
        2.915571554639654,
        2.915583838853356,
        2.9155961230670577,
        2.9156084072807587,
        2.91562069149446,
        2.915632975708162,
        2.9156452599218636,
        2.9156575441355645,
        2.915669828349266,
        2.9156821125629677,
        2.9156943967766686,
        2.91570668099037,
        2.915718965204072,
        2.915731249417773,
        2.9157435336314745,
        2.915755817845176,
        2.915768102058877,
        2.915780386272579,
        2.9157926704862804,
        2.9158049546999814,
        2.915817238913683,
        2.9158295231273845,
        2.9158418073410854,
        2.9158540915547873,
        2.915866375768489,
        2.91587865998219,
        2.9158909441958913,
        2.9159032284095927,
        2.9159155126232945,
        2.915927796836996,
        2.9159400810506972,
        2.915952365264398,
        2.9159646494781,
        2.9159769336918013,
        2.9159892179055027,
        2.916001502119204,
        2.916013786332906,
        2.916026070546607,
        2.916038354760308,
        2.9160506389740104,
        2.9160629231877113,
        2.9160752074014127,
        2.916087491615114,
        2.9160997758288154,
        2.916112060042517,
        2.9161243442562186,
        2.9161366284699195,
        2.9161489126836213,
        2.9161611968973227,
        2.9161734811110236,
        2.9161857653247254,
        2.916198049538427,
        2.916210333752128,
        2.9162226179658295,
        2.9162349021795313,
        2.9162471863932327,
        2.916259470606934,
        2.9162717548206354,
        2.9162840390343368,
        2.916296323248038,
        2.9163086074617395,
        2.916320891675441,
        2.9163331758891426,
        2.916345460102844,
        2.9163577443165454,
        2.9163700285302463,
        2.9163823127439485,
        2.91639459695765,
        2.916406881171351,
        2.916419165385052,
        2.916431449598754,
        2.916443733812455,
        2.9164560180261567,
        2.9164683022398585,
        2.9164805864535595,
        2.916492870667261,
        2.916505154880962,
        2.916517439094664,
        2.9165297233083654,
        2.9165420075220667,
        2.9165542917357676,
        2.9165665759494694,
        2.9165788601631712,
        2.916591144376872,
        2.9166034285905735,
        2.9166157128042753,
        2.9166279970179763,
        2.9166402812316776,
        2.91665256544538,
        2.916664849659081,
        2.916677133872782,
        2.9166894180864835,
        2.916701702300185,
        2.9167139865138867,
        2.916726270727588,
        2.916738554941289,
        2.916750839154991,
        2.916763123368692,
        2.916775407582393,
        2.916787691796095,
        2.9167999760097967,
        2.9168122602234976,
        2.916824544437199,
        2.9168368286509003,
        2.916849112864602,
        2.9168613970783035,
        2.916873681292005,
        2.9168859655057062,
        2.9168982497194076,
        2.916910533933109,
        2.9169228181468103,
        2.916935102360512,
        2.9169473865742135,
        2.9169596707879144,
        2.9169719550016158,
        2.916984239215318,
        2.916996523429019,
        2.9170088076427203,
        2.9170210918564217,
        2.9170333760701235,
        2.9170456602838244,
        2.917057944497526,
        2.917070228711228,
        2.917082512924929,
        2.9170947971386303,
        2.9171070813523317,
        2.9171193655660335,
        2.917131649779735,
        2.917143933993436,
        2.917156218207137,
        2.917168502420839,
        2.9171807866345407,
        2.9171930708482416,
        2.917205355061943,
        2.917217639275645,
        2.9172299234893457,
        2.9173896182674643,
        2.917623018327791,
        2.9176353025414925,
        2.9176475867551943,
        2.9176598709688957,
        2.9176721551825966,
        2.9176844393962984,
        2.9176967236099998,
        2.9177090078237007,
        2.917721292037403,
        2.9177335762511043,
        2.9177458604648057,
        2.9177581446785066,
        2.9177704288922084,
        2.91778271310591,
        2.917794997319611,
        2.9178072815333125,
        2.9178195657470143,
        2.917831849960715,
        2.9178441341744166,
        2.9178564183881184,
        2.9178687026018197,
        2.917880986815521,
        2.9178932710292225,
        2.917905555242924,
        2.9179178394566256,
        2.917930123670327,
        2.917942407884028,
        2.9179546920977297,
        2.917966976311431,
        2.917979260525132,
        2.917991544738834,
        2.9180038289525356,
        2.9180161131662365,
        2.918028397379938,
        2.9180406815936393,
        2.918052965807341,
        2.9180652500210424,
        2.918077534234744,
        2.9180898184484447,
        2.9181021026621465,
        2.9181143868758483,
        2.9181266710895493,
        2.918138955303251,
        2.9181512395169524,
        2.9181635237306534,
        2.9181758079443547,
        2.918188092158057,
        2.918200376371758,
        2.9182126605854593,
        2.9182249447991606,
        2.918237229012862,
        2.918249513226564,
        2.918261797440265,
        2.918274081653966,
        2.918286365867668,
        2.9182986500813692,
        2.91831093429507,
        2.9183232185087724,
        2.9183355027224738,
        2.9183477869361747,
        2.918360071149876,
        2.918372355363578,
        2.9183846395772792,
        2.9183969237909806,
        2.918409208004682,
        2.9184214922183833,
        2.9184337764320847,
        2.918446060645786,
        2.918458344859488,
        2.918470629073189,
        2.9184829132868906,
        2.918495197500592,
        2.918507481714293,
        2.918519765927995,
        2.9185320501416965,
        2.9185443343553974,
        2.918556618569099,
        2.9185689027828006,
        2.918581186996502,
        2.9185934712102033,
        2.918605755423905,
        2.918618039637606,
        2.9186303238513074,
        2.9186426080650087,
        2.9186548922787106,
        2.918667176492412,
        2.9186794607061133,
        2.918691744919814,
        2.918704029133516,
        2.918716313347218,
        2.9187285975609187,
        2.9187408817746205,
        2.918753165988322,
        2.918765450202023,
        2.918777734415724,
        2.9187900186294264,
        2.9188023028431274,
        2.9188145870568287,
        2.91882687127053,
        2.9188391554842315,
        2.9188514396979333,
        2.9188637239116346,
        2.9188760081253355,
        2.9188882923390373,
        2.9189005765527387,
        2.9189128607664396,
        2.9189251449801414,
        2.9189374291938432,
        2.918949713407544,
        2.9189619976212455,
        2.9189742818349473,
        2.9189865660486487,
        2.91899885026235,
        2.9190111344760514,
        2.919023418689753,
        2.919035702903454,
        2.919047987117156,
        2.919060271330857,
        2.9190725555445587,
        2.91908483975826,
        2.919097123971961,
        2.9191094081856623,
        2.9191216923993646,
        2.9191339766130655,
        2.919146260826767,
        2.9191585450404687,
        2.91917082925417,
        2.9191831134678714,
        2.9191953976815728,
        2.9192076818952746,
        2.9192199661089755,
        2.919232250322677,
        2.919244534536378,
        2.91925681875008,
        2.9192691029637814,
        2.9192813871774828,
        2.9192936713911837,
        2.9193059556048855,
        2.9193182398185873,
        2.919330524032288,
        2.9193428082459896,
        2.9193550924596914,
        2.9193673766733923,
        2.9193796608870937,
        2.919391945100796,
        2.919404229314497,
        2.919416513528198,
        2.9194287977418996,
        2.919441081955601,
        2.9194533661693027,
        2.919465650383004,
        2.919477934596705,
        2.919490218810407,
        2.919502503024108,
        2.9195147872378095,
        2.919527071451511,
        2.9195393556652127,
        2.9195516398789136,
        2.919563924092615,
        2.919576208306317,
        2.919588492520018,
        2.9196007767337195,
        2.919613060947421,
        2.9196253451611223,
        2.9196376293748236,
        2.9196499135885254,
        2.9196621978022264,
        2.919674482015928,
        2.9196867662296295,
        2.9196990504433304,
        2.919711334657032,
        2.919723618870734,
        2.919735903084435,
        2.9197481872981363,
        2.9197604715118377,
        2.919772755725539,
        2.919785039939241,
        2.9197973241529422,
        2.9198096083666436,
        2.919821892580345,
        2.9198341767940463,
        2.9198464610077473,
        2.9198587452214495,
        2.919871029435151,
        2.9198833136488522,
        2.919895597862553,
        2.919907882076255,
        2.9199201662899568,
        2.9199324505036577,
        2.919944734717359,
        2.919957018931061,
        2.9199693031447618,
        2.9199815873584636,
        2.9199938715721654,
        2.9200061557858663,
        2.9200184399995677,
        2.920030724213269,
        2.9200430084269704,
        2.920055292640672,
        2.9200675768543736,
        2.9200798610680745,
        2.9200921452817763,
        2.9201044294954777,
        2.920116713709179,
        2.9201289979228804,
        2.920141282136582,
        2.920153566350283,
        2.9201658505639845,
        2.920178134777686,
        2.9201904189913876,
        2.920202703205089,
        2.9202149874187904,
        2.9202272716324917,
        2.920239555846193,
        2.920251840059895,
        2.920264124273596,
        2.9202764084872976,
        2.920288692700999,
        2.9203009769147,
        2.9203132611284013,
        2.9203255453421035,
        2.9203378295558045,
        2.920350113769506,
        2.920362397983207,
        2.9203746821969085,
        2.9203869664106104,
        2.9203992506243117,
        2.920411534838013,
        2.9204238190517144,
        2.920436103265416,
        2.9204483874791167,
        2.920460671692819,
        2.9204729559065203,
        2.9204852401202213,
        2.9204975243339226,
        2.9205098085476244,
        2.920522092761326,
        2.920534376975027,
        2.9205466611887285,
        2.9205589454024303,
        2.9205712296161312,
        2.920583513829833,
        2.9205957980435344,
        2.920608082257236,
        2.920620366470937,
        2.9206326506846385,
        2.92064493489834,
        2.9206572191120417,
        2.92073092439425,
        2.9207432086079517,
        2.9207554928216526,
        2.920767777035354,
        2.9207800612490553,
        2.920792345462757,
        2.9208046296764585,
        2.92081691389016,
        2.920829198103861,
        2.9208414823175626,
        2.9208537665312644,
        2.9208660507449653,
        2.920878334958667,
        2.9208906191723685,
        2.9209029033860694,
        2.920915187599771,
        2.920927471813473,
        2.920939756027174,
        2.9209520402408753,
        2.9209643244545767,
        2.920976608668278,
        2.92098889288198,
        2.921001177095681,
        2.921013461309382,
        2.921025745523084,
        2.9210380297367853,
        2.9210503139504866,
        2.9210625981641885,
        2.92107488237789,
        2.9210871665915907,
        2.921099450805292,
        2.921111735018994,
        2.9211240192326953,
        2.9211363034463966,
        2.921148587660098,
        2.9211608718737994,
        2.9211731560875007,
        2.9211854403012025,
        2.9211977245149034,
        2.9212100087286053,
        2.9212222929423066,
        2.9212345771560075,
        2.9212468613697093,
        2.921259145583411,
        2.9212714297971125,
        2.9212837140108134,
        2.9213635613998727,
        2.9215416824985434,
        2.9215539667122448,
        2.921566250925946,
        2.9215785351396475,
        2.9215908193533493,
        2.9216031035670507,
        2.9216153877807516,
        2.9216276719944534,
        2.9216399562081548,
        2.921652240421856,
        2.921664524635558,
        2.9216768088492593,
        2.92168909306296,
        2.9217013772766616,
        2.9217136614903634,
        2.9217259457040647,
        2.921738229917766,
        2.9217505141314675,
        2.921762798345169,
        2.92177508255887,
        2.921787366772572,
        2.921799650986273,
        2.9218119351999747,
        2.921824219413676,
        2.921836503627377,
        2.9218487878410784,
        2.9218610720547806,
        2.9218733562684815,
        2.921885640482183,
        2.9218979246958847,
        2.9219102089095856,
        2.9219224931232874,
        2.9224322879918967,
        2.9227639617618344,
        2.9230649249975196,
        2.9230772092112205,
        2.923089493424922,
        2.9231017776386232,
        2.9248092833431203,
        2.924821567556822,
        2.9248338517705235,
        2.9248461359842244,
        2.924858420197926,
        2.924870704411628,
        2.924882988625329,
        2.9248952728390303,
        2.9249075570527316,
        2.9249198412664335,
        2.924932125480135,
        2.924944409693836,
        2.924956693907537,
        2.924968978121239,
        2.9249812623349403,
        2.9249935465486416,
        2.9250058307623434,
        2.925018114976045,
        2.9250303991897457,
        2.925042683403447,
        2.9250549676171493,
        2.9250672518308503,
        2.9250795360445516,
        2.925091820258253,
        2.9251041044719543,
        2.9251163886856557,
        2.9251286728993575,
        2.9251409571130584,
        2.9251532413267602,
        2.9251655255404616,
        2.9251778097541625,
        2.9251900939678643,
        2.925202378181566,
        2.925214662395267,
        2.9252269466089684,
        2.9252392308226702,
        2.925251515036371,
        2.925263799250073,
        2.9252760834637743,
        2.9252883676774757,
        2.925300651891177,
        2.9253129361048784,
        2.9253252203185798,
        2.9253375045322816,
        2.9254050677076386,
        2.9256446098748166,
        2.925656894088519,
        2.9256691783022197,
        2.925681462515921,
        2.9256937467296225,
        2.925706030943324,
        2.9257183151570256,
        2.925730599370727,
        2.925742883584428,
        2.9257551677981297,
        2.925767452011831,
        2.925779736225532,
        2.925792020439234,
        2.9258043046529356,
        2.9258165888666365,
        2.925828873080338,
        2.9258411572940397,
        2.925853441507741,
        2.9258657257214424,
        2.925878009935144,
        2.925890294148845,
        2.9259025783625465,
        2.925914862576248,
        2.9259271467899493,
        2.925939431003651,
        2.9259517152173524,
        2.9259639994310533,
        2.9259762836447547,
        2.925988567858457,
        2.926000852072158,
        2.9260131362858592,
        2.9260254204995606,
        2.926037704713262,
        2.9260499889269633,
        2.926062273140665,
        2.9260745573543665,
        2.926086841568068,
        2.9260991257817692,
        2.92611140999547,
        2.9261236942091724,
        2.9261359784228738,
        2.9261482626365747,
        2.926160546850276,
        2.926172831063978,
        2.9261851152776788,
        2.9261973994913806,
        2.926209683705082,
        2.9262219679187838,
        2.9262342521324847,
        2.926246536346186,
        2.9262588205598883,
        2.926271104773589,
        2.9262833889872906,
        2.926295673200992,
        2.9263079574146933,
        2.926320241628395,
        2.9263325258420965,
        2.9263448100557974,
        2.926357094269499,
        2.9263693784832006,
        2.9263816626969015,
        2.9263939469106033,
        2.926406231124305,
        2.926418515338006,
        2.9264307995517074,
        2.9264430837654087,
        2.9264553679791105,
        2.926467652192812,
        2.9264799364065133,
        2.9264922206202146,
        2.926504504833916,
        2.9265167890476174,
        2.9265290732613187,
        2.9265413574750205,
        2.926553641688722,
        2.926565925902423,
        2.926578210116124,
        2.9265904943298264,
        2.9266027785435274,
        2.9266150627572287,
        2.92662734697093,
        2.9266396311846314,
        2.926651915398333,
        2.9266641996120346,
        2.9266764838257355,
        2.9266887680394373,
        2.9267010522531387,
        2.9267133364668396,
        2.926725620680542,
        2.9267379048942432,
        2.926750189107944,
        2.9267624733216455,
        2.9267747575353473,
        2.9267870417490487,
        2.92679932596275,
        2.9268116101764514,
        2.926823894390153,
        2.926836178603854,
        2.9268484628175555,
        2.926860747031257,
        2.9268730312449587,
        2.92688531545866,
        2.926897599672361,
        2.9269098838860628,
        2.9269221680997646,
        2.926934452313466,
        2.926946736527167,
        2.9269590207408687,
        2.92697130495457,
        2.926983589168271,
        2.9269958733819728,
        2.9270081575956746,
        2.9270204418093755,
        2.927032726023077,
        2.927045010236778,
        2.92705729445048,
        2.9270695786641814,
        2.9270818628778827,
        2.9270941470915837,
        2.9271064313052855,
        2.9271187155189873,
        2.927130999732688,
        2.92714328394639,
        2.9271555681600914,
        2.9271678523737923,
        2.9271801365874937,
        2.927192420801196,
        2.927204705014897,
        2.927216989228598,
        2.9272292734422996,
        2.927241557656001,
        2.9272538418697027,
        2.927266126083404,
        2.927278410297105,
        2.927290694510807,
        2.927302978724508,
        2.927315262938209,
        2.9273275471519113,
        2.9273398313656127,
        2.9273521155793136,
        2.927364399793015,
        2.927376684006717,
        2.927388968220418,
        2.9274012524341195,
        2.927413536647821,
        2.9274258208615223,
        2.9274381050752236,
        2.927450389288925,
        2.9274626735026263,
        2.927474957716328,
        2.9274872419300295,
        2.9274995261437304,
        2.927511810357432,
        2.927524094571134,
        2.927536378784835,
        2.9275486629985363,
        2.927560947212238,
        2.927573231425939,
        2.9275855156396404,
        2.9275977998533422,
        2.927610084067044,
        2.927622368280745,
        2.9276346524944463,
        2.9276469367081477,
        2.9276592209218495,
        2.927671505135551,
        2.927683789349252,
        2.927696073562953,
        2.927708357776655,
        2.9277206419903568,
        2.9277329262040577,
        2.9277452104177595,
        2.927757494631461,
        2.9277697788451618,
        2.927782063058863,
        2.9277943472725654,
        2.9278066314862663,
        2.9278189156999677,
        2.927831199913669,
        2.9278434841273704,
        2.927855768341072,
        2.9278680525547736,
        2.9278803367684745,
        2.9278926209821763,
        2.9279049051958776,
        2.9279171894095786,
        2.9279294736232804,
        2.927941757836982,
        2.927954042050683,
        2.9279663262643845,
        2.9279786104780863,
        2.9279908946917876,
        2.928003178905489,
        2.9280154631191904,
        2.9280277473328917,
        2.928040031546593,
        2.9280523157602945,
        2.928064599973996,
        2.9280768841876976,
        2.928089168401399,
        2.9281014526151,
        2.9281137368288013,
        2.9281260210425035,
        2.9281383052562044,
        2.928150589469906,
        2.9281628736836076,
        2.9281751578973085,
        2.9281874421110103,
        2.9281997263247117,
        2.928212010538413,
        2.9282242947521144,
        2.928236578965816,
        2.9282488631795167,
        2.928261147393219,
        2.9282734316069203,
        2.9282857158206212,
        2.9282980000343226,
        2.9283102842480244,
        2.9283225684617262,
        2.928334852675427,
        2.9283471368891285,
        2.9283594211028303,
        2.9283717053165312,
        2.9283839895302326,
        2.928396273743935,
        2.9284085579576358,
        2.928420842171337,
        2.9284331263850385,
        2.92844541059874,
        2.9284576948124417,
        2.928469979026143,
        2.928482263239844,
        2.9284945474535458,
        2.928506831667247,
        2.928519115880948,
        2.92853140009465,
        2.9285436843083517,
        2.9285559685220526,
        2.928568252735754,
        2.9285805369494557,
        2.928592821163157,
        2.9286051053768585,
        2.92861738959056,
        2.928629673804261,
        2.9286419580179626,
        2.9286542422316644,
        2.9286665264453653,
        2.928678810659067,
        2.9286910948727685,
        2.9287033790864694,
        2.9287156633001707,
        2.928727947513873,
        2.928740231727574,
        2.9287525159412753,
        2.9287648001549766,
        2.928777084368678,
        2.92878936858238,
        2.928801652796081,
        2.9288139370097825,
        2.928826221223484,
        2.9288385054371853,
        2.928850789650886,
        2.9288630738645884,
        2.92887535807829,
        2.9288876422919907,
        2.928899926505692,
        2.928912210719394,
        2.9289244949330953,
        2.9289367791467966,
        2.928949063360498,
        2.9289613475741993,
        2.9289736317879007,
        2.928985916001602,
        2.928998200215304,
        2.9290104844290052,
        2.9290227686427066,
        2.929035052856408,
        2.9290473370701093,
        2.929059621283811,
        2.9290719054975125,
        2.9290841897112134,
        2.9290964739249152,
        2.9291087581386166,
        2.929121042352318,
        2.9291333265660193,
        2.929145610779721,
        2.929157894993422,
        2.9291701792071234,
        2.929182463420825,
        2.9291947476345266,
        2.929207031848228,
        2.9292193160619293,
        2.9292316002756307,
        2.929243884489332,
        2.929256168703034,
        2.9292684529167348,
        2.9292807371304366,
        2.929293021344138,
        2.929305305557839,
        2.92931758977154,
        2.9293298739852425,
        2.9293421581989434,
        2.9293544424126448,
        2.929366726626346,
        2.9293790108400475,
        2.9293912950537493,
        2.9294035792674507,
        2.929415863481152,
        2.9294281476948534,
        2.9294404319085547,
        2.9294527161222557,
        2.929465000335958,
        2.9294772845496593,
        2.92948956876336,
        2.9295018529770616,
        2.9295141371907634,
        2.9295264214044647,
        2.929538705618166,
        2.9295509898318675,
        2.929563274045569,
        2.92957555825927,
        2.929587842472972,
        2.929600126686673,
        2.9296124109003747,
        2.929624695114076,
        2.929636979327777,
        2.929649263541479,
        2.9296615477551806,
        2.9296738319688815,
        2.929686116182583,
        2.9296984003962847,
        2.929710684609986,
        2.9297229688236874,
        2.929735253037389,
        2.9297475372510906,
        2.9297598214647915,
        2.929772105678493,
        2.9297843898921943,
        2.929796674105896,
        2.9298089583195974,
        2.929821242533299,
        2.929833526747,
        2.9298458109607015,
        2.9298580951744033,
        2.9298703793881042,
        2.929882663601806,
        2.9298949478155074,
        2.9299072320292083,
        2.9299195162429097,
        2.929931800456612,
        2.929944084670313,
        2.9299563688840142,
        2.9299686530977156,
        2.929980937311417,
        2.9300239320593726,
        2.93026347422655,
        2.930275758440251,
        2.9302880426539524,
        2.930300326867654,
        2.930312611081355,
        2.930324895295057,
        2.9303371795087583,
        2.9303494637224596,
        2.930361747936161,
        2.9303740321498624,
        2.9303863163635633,
        2.9303986005772655,
        2.930410884790967,
        2.930423169004668,
        2.930435453218369,
        2.930447737432071,
        2.930460021645773,
        2.9304723058594737,
        2.9304845900731755,
        2.930496874286877,
        2.930509158500578,
        2.9305214427142796,
        2.9305337269279814,
        2.9305460111416823,
        2.9305582953553837,
        2.930570579569085,
        2.9305828637827864,
        2.9305951479964882,
        2.9306074322101896,
        2.9306197164238905,
        2.9306320006375923,
        2.9306442848512937,
        2.930656569064995,
        2.930668853278697,
        2.9306811374923982,
        2.930693421706099,
        2.9307057059198005,
        2.9307179901335023,
        2.9307302743472037,
        2.930742558560905,
        2.9307548427746064,
        2.9307671269883078,
        2.930779411202009,
        2.930791695415711,
        2.930803979629412,
        2.9308162638431137,
        2.930828548056815,
        2.930840832270516,
        2.9308531164842173,
        2.9308654006979196,
        2.9308776849116205,
        2.930889969125322,
        2.9309022533390237,
        2.9309145375527246,
        2.9309268217664264,
        2.9309391059801277,
        2.930951390193829,
        2.9309636744075305,
        2.930975958621232,
        2.9309882428349328,
        2.931000527048635,
        2.9310128112623364,
        2.9310250954760373,
        2.9310373796897387,
        2.9310496639034405,
        2.931061948117142,
        2.931074232330843,
        2.931086516544545,
        2.931098800758246,
        2.9311110849719473,
        2.931123369185649,
        2.931135653399351,
        2.931147937613052,
        2.931160221826753,
        2.9311725060404545,
        2.931184790254156,
        2.9311970744678577,
        2.931209358681559,
        2.93122164289526,
        2.931233927108962,
        2.931246211322663,
        2.9312584955363645,
        2.931270779750066,
        2.9312830639637677,
        2.9312953481774686,
        2.93130763239117,
        2.931319916604872,
        2.931332200818573,
        2.9313444850322745,
        2.931356769245976,
        2.9313690534596772,
        2.9313813376733786,
        2.9313936218870804,
        2.9314059061007813,
        2.931418190314483,
        2.9314304745281845,
        2.9314427587418854,
        2.931455042955587,
        2.931467327169289,
        2.93147961138299,
        2.9314918955966913,
        2.931504179810393,
        2.931516464024094,
        2.931528748237796,
        2.931541032451497,
        2.9315533166651986,
        2.9315656008789,
        2.9315778850926013,
        2.9315901693063027,
        2.9316024535200045,
        2.931614737733706,
        2.9316270219474068,
        2.931639306161108,
        2.93165159037481,
        2.9316638745885113,
        2.9316761588022127,
        2.931688443015914,
        2.9317007272296154,
        2.9317130114433168,
        2.9317252956570186,
        2.93173757987072,
        2.9317498640844213,
        2.9317621482981226,
        2.9317744325118236,
        2.9317867167255254,
        2.931799000939227,
        2.931811285152928,
        2.9318235693666295,
        2.9318358535803313,
        2.931848137794032,
        2.931860422007734,
        2.9318727062214354,
        2.931884990435137,
        2.931897274648838,
        2.9319095588625395,
        2.9319218430762417,
        2.9319341272899426,
        2.931946411503644,
        2.9319586957173454,
        2.9319709799310467,
        2.931983264144748,
        2.93199554835845,
        2.932007832572151,
        2.9320201167858526,
        2.932032400999554,
        2.932044685213255,
        2.9320569694269567,
        2.9320692536406585,
        2.9320815378543594,
        2.932093822068061,
        2.932106106281762,
        2.9321183904954635,
        2.9321306747091653,
        2.9321429589228667,
        2.932155243136568,
        2.9321675273502694,
        2.932179811563971,
        2.932192095777672,
        2.932204379991374,
        2.9322166642050753,
        2.9322289484187762,
        2.9322412326324776,
        2.9322535168461794,
        2.9322658010598808,
        2.932278085273582,
        2.9322903694872835,
        2.932302653700985,
        2.9323149379146862,
        2.932327222128388,
        2.9323395063420894,
        2.9323517905557908,
        2.932364074769492,
        2.932376358983193,
        2.932388643196895,
        2.9324009274105967,
        2.9324132116242976,
        2.932425495837999,
        2.9324377800517007,
        2.9324500642654017,
        2.9324623484791035,
        2.932474632692805,
        2.932486916906506,
        2.9324992011202076,
        2.932511485333909,
        2.9325237695476103,
        2.932536053761312,
        2.9325483379750135,
        2.932560622188715,
        2.932572906402416,
        2.9325851906161176,
        2.9325974748298194,
        2.9326097590435203,
        2.932622043257222,
        2.9326343274709235,
        2.9326466116846244,
        2.932658895898326,
        2.932671180112028,
        2.932683464325729,
        2.9326957485394303,
        2.9327080327531316,
        2.932720316966833,
        2.932732601180535,
        2.932744885394236,
        2.9327571696079375,
        2.932769453821639,
        2.9327817380353403,
        2.9327940222490416,
        2.9328063064627434,
        2.932818590676445,
        2.9328308748901457,
        2.932843159103847,
        2.932855443317549,
        2.9328677275312502,
        2.9328800117449516,
        2.932892295958653,
        2.9329045801723543,
        2.9329168643860557,
        2.9329291485997575,
        2.9329414328134584,
        2.9329537170271602,
        2.9329660012408616,
        2.9329782854545625,
        2.9329905696682648,
        2.933002853881966,
        2.933015138095667,
        2.9330274223093684,
        2.9330397065230702,
        2.933051990736771,
        2.933064274950473,
        2.9330765591641743,
        2.9330888433778757,
        2.933101127591577,
        2.9331134118052784,
        2.9331256960189798,
        2.9331379802326816,
        2.933150264446383,
        2.933162548660084,
        2.9331748328737857,
        2.933187117087487,
        2.9331994013011884,
        2.9332116855148898,
        2.9332239697285916,
        2.9332362539422925,
        2.933248538155994,
        2.9332608223696957,
        2.9332731065833975,
        2.9332853907970984,
        2.9332976750107997,
        2.933309959224501,
        2.9333222434382025,
        2.9333345276519043,
        2.9333468118656056,
        2.9333590960793066,
        2.9333713802930084,
        2.9333836645067097,
        2.933395948720411,
        2.933408232934113,
        2.9334205171478143,
        2.933432801361515,
        2.9334450855752165,
        2.933457369788919,
        2.9334696540026197,
        2.933481938216321,
        2.9334942224300224,
        2.933506506643724,
        2.933518790857425,
        2.933531075071127,
        2.933543359284828,
        2.9335556434985297,
        2.933567927712231,
        2.933580211925932,
        2.9335924961396342,
        2.9336047803533356,
        2.9336170645670365,
        2.933635490887589,
        2.9338750330547665,
        2.933887317268468,
        2.933899601482169,
        2.93391188569587,
        2.9339241699095724,
        2.9339364541232738,
        2.9339487383369747,
        2.933961022550676,
        2.933973306764378,
        2.933985590978079,
        2.9339978751917806,
        2.9340101594054824,
        2.9340224436191837,
        2.9340347278328847,
        2.934047012046586,
        2.9340592962602883,
        2.934071580473989,
        2.9340838646876906,
        2.934096148901392,
        2.9341084331150933,
        2.9341207173287946,
        2.9341330015424965,
        2.9341452857561974,
        2.934157569969899,
        2.9341698541836005,
        2.9341821383973015,
        2.9341944226110033,
        2.934206706824705,
        2.934218991038406,
        2.9342312752521074,
        2.934243559465809,
        2.93425584367951,
        2.934268127893212,
        2.9342804121069133,
        2.9342926963206146,
        2.934304980534316,
        2.9343172647480174,
        2.9343295489617187,
        2.9343418331754205,
        2.934354117389122,
        2.934366401602823,
        2.934378685816524,
        2.9343909700302264,
        2.9344032542439273,
        2.9344155384576287,
        2.9344278226713305,
        2.9344401068850314,
        2.934452391098733,
        2.9344646753124346,
        2.934476959526136,
        2.9344892437398373,
        2.9345015279535387,
        2.9345138121672396,
        2.934526096380942,
        2.9345383805946432,
        2.934550664808344,
        2.9345629490220455,
        2.9345752332357473,
        2.9345875174494482,
        2.93459980166315,
        2.9346120858768514,
        2.9346243700905528,
        2.934636654304254,
        2.9346489385179555,
        2.9346612227316573,
        2.9346735069453587,
        2.93468579115906,
        2.9346980753727614,
        2.9347103595864628,
        2.934722643800164,
        2.934734928013866,
        2.934747212227567,
        2.9347594964412687,
        2.93477178065497,
        2.934784064868671,
        2.9347963490823727,
        2.9348086332960746,
        2.9348209175097755,
        2.934833201723477,
        2.9348454859371786,
        2.9348577701508796,
        2.9348700543645814,
        2.9348823385782827,
        2.934894622791984,
        2.9349069070056855,
        2.934919191219387,
        2.934931475433088,
        2.93494375964679,
        2.9349560438604914,
        2.9349683280741923,
        2.9349806122878936,
        2.934992896501596,
        2.935005180715297,
        2.935017464928998,
        2.9350297491426995,
        2.935042033356401,
        2.9350543175701023,
        2.935066601783804,
        2.9350788859975054,
        2.935091170211207,
        2.935103454424908,
        2.935115738638609,
        2.9351280228523113,
        2.9351403070660127,
        2.9351525912797136,
        2.935164875493415,
        2.935177159707117,
        2.9351894439208177,
        2.9352017281345195,
        2.935214012348221,
        2.9352262965619222,
        2.9352385807756236,
        2.935250864989325,
        2.9352631492030268,
        2.935275433416728,
        2.9352877176304295,
        2.9353000018441304,
        2.9353122860578322,
        2.935324570271534,
        2.935336854485235,
        2.9353491386989363,
        2.935361422912638,
        2.9353737071263395,
        2.9353859913400404,
        2.935398275553742,
        2.935410559767444,
        2.935422843981145,
        2.9354351281948463,
        2.9354474124085477,
        2.9354596966222495,
        2.935471980835951,
        2.935484265049652,
        2.9354965492633536,
        2.935508833477055,
        2.9355211176907563,
        2.9355334019044577,
        2.9355456861181595,
        2.935557970331861,
        2.935680812468875,
        2.9356930966825763,
        2.9357053808962776,
        2.9357176651099786,
        2.935729949323681,
        2.935742233537382,
        2.935754517751083,
        2.9357668019647845,
        2.9357790861784863,
        2.935791370392187,
        2.935803654605889,
        2.9358159388195904,
        2.9358282230332917,
        2.935840507246993,
        2.9358527914606944,
        2.935865075674396,
        2.9358773598880976,
        2.935889644101799,
        2.9359019283155,
        2.9359142125292017,
        2.9359264967429035,
        2.9359387809566044,
        2.935951065170306,
        2.9359633493840076,
        2.9359756335977085,
        2.93598791781141,
        2.9360002020251117,
        2.936012486238813,
        2.9360247704525144,
        2.936037054666216,
        2.9360493388799167,
        2.936061623093619,
        2.9360739073073203,
        2.9360861915210217,
        2.936098475734723,
        2.9361107599484244,
        2.9361230441621258,
        2.936135328375827,
        2.936147612589529,
        2.9361598968032303,
        2.9361721810169312,
        2.9361844652306326,
        2.936196749444335,
        2.9362090336580358,
        2.936221317871737,
        2.9362336020854385,
        2.93624588629914,
        2.936258170512841,
        2.936270454726543,
        2.936282738940244,
        2.9362950231539457,
        2.936307307367647,
        2.936319591581348,
        2.9363318757950503,
        2.9363441600087516,
        2.9363564442224526,
        2.936368728436154,
        2.9363810126498557,
        2.936393296863557,
        2.9364055810772585,
        2.93641786529096,
        2.936430149504661,
        2.9364424337183626,
        2.936454717932064,
        2.9364670021457653,
        2.936479286359467,
        2.9364915705731685,
        2.9365038547868694,
        2.936516139000571,
        2.936528423214273,
        2.936540707427974,
        2.9365529916416753,
        2.936565275855377,
        2.936577560069078,
        2.9365898442827794,
        2.936602128496481,
        2.9366144127101825,
        2.936626696923884,
        2.9366389811375853,
        2.936651265351286,
        2.9366635495649884,
        2.93667583377869,
        2.9366881179923907,
        2.936700402206092,
        2.936712686419794,
        2.936724970633495,
        2.9367372548471966,
        2.9367495390608984,
        2.9367618232745993,
        2.9367741074883007,
        2.936786391702002,
        2.9367986759157043,
        2.9368109601294052,
        2.9368232443431066,
        2.936835528556808,
        2.9368478127705093,
        2.936860096984211,
        2.9368723811979125,
        2.9368846654116134,
        2.9368969496253152,
        2.9369092338390166,
        2.9369215180527175,
        2.9369338022664198,
        2.936946086480121,
        2.936958370693822,
        2.9369706549075234,
        2.936982939121225,
        2.9369952233349266,
        2.937007507548628,
        2.9370197917623293,
        2.9370320759760307,
        2.937044360189732,
        2.9370566444034334,
        2.9370689286171348,
        2.9370812128308366,
        2.937093497044538,
        2.937105781258239,
        2.93711806547194,
        2.9371303496856425,
        2.9371426338993434,
        2.9371549181130447,
        2.9371672023267466,
        2.9371794865404475,
        2.937191770754149,
        2.9372040549678506,
        2.937216339181552,
        2.9372286233952534,
        2.9372409076089547,
        2.9372531918226557,
        2.937265476036358,
        2.9372777602500593,
        2.93729004446376,
        2.9373023286774615,
        2.9373146128911634,
        2.9373268971048647,
        2.937339181318566,
        2.937351465532268,
        2.937363749745969,
        2.93737603395967,
        2.9373883181733715,
        2.9374006023870733,
        2.9374128866007747,
        2.937425170814476,
        2.937437455028177,
        2.937449739241879,
        2.9374620234555806,
        2.9374743076692815,
        2.937486591882983,
        2.9374988760966847,
        2.937511160310386,
        2.937523444524087,
        2.937535728737789,
        2.9375480129514906,
        2.9375602971651915,
        2.937572581378893,
        2.9375848655925947,
        2.937597149806296,
        2.9376094340199974,
        2.9376217182336988,
        2.9376340024474,
        2.9376462866611015,
        2.937658570874803,
        2.9376708550885042,
        2.937683139302206,
        2.9376954235159074,
        2.9377077077296083,
        2.9377199919433097,
        2.937732276157012,
        2.937744560370713,
        2.937756844584414,
        2.937830549866623,
        2.937842834080324,
        2.937855118294025,
        2.9378674025077274,
        2.9378796867214287,
        2.9378919709351297,
        2.937904255148831,
        2.937916539362533,
        2.937928823576234,
        2.9379411077899356,
        2.937953392003637,
        2.9379656762173383,
        2.9379779604310396,
        2.937990244644741,
        2.938002528858443,
        2.938199076277665,
        2.938641307970916,
        2.9386535921846177,
        2.9386658763983196,
        2.9386781606120205,
        2.938690444825722,
        2.9387027290394236,
        2.9387150132531246,
        2.9387272974668264,
        2.9387395816805277,
        2.938751865894229,
        2.9387641501079305,
        2.938776434321632,
        2.9387887185353327,
        2.938801002749035,
        2.9388132869627364,
        2.9388255711764373,
        2.938837855390139,
        2.9388501396038405,
        2.938862423817542,
        2.938874708031243,
        2.938886992244945,
        2.938899276458646,
        2.9389115606723473,
        2.9389238448860486,
        2.938936129099751,
        2.938948413313452,
        2.938960697527153,
        2.9389729817408545,
        2.938985265954556,
        2.9389975501682577,
        2.939009834381959,
        2.9390221185956604,
        2.939034402809362,
        2.939046687023063,
        2.939058971236764,
        2.9390712554504663,
        2.9390835396641677,
        2.9390958238778686,
        2.93910810809157,
        2.939120392305272,
        2.939132676518973,
        2.9391449607326745,
        2.939157244946376,
        2.9391695291600772,
        2.9391818133737786,
        2.9391940975874804,
        2.9392063818011813,
        2.939218666014883,
        2.9392309502285845,
        2.9392432344422854,
        2.939255518655987,
        2.939267802869689,
        2.93928008708339,
        2.9392923712970913,
        2.939304655510793,
        2.939316939724494,
        2.939329223938196,
        2.939341508151897,
        2.9393537923655986,
        2.9393660765793,
        2.9393783607930013,
        2.939390645006702,
        2.9394029292204045,
        2.939415213434106,
        2.9394274976478068,
        2.9394397818615086,
        2.9397223187766413,
        2.9397346029903426,
        2.939746887204044,
        2.9397591714177453,
        2.9397714556314467,
        2.939783739845148,
        2.93979602405885,
        2.939808308272551,
        2.9398205924862526,
        2.939832876699954,
        2.939845160913655,
        2.9398574451273563,
        2.9398697293410585,
        2.9398820135547594,
        2.939894297768461,
        2.9399065819821626,
        2.9399188661958635,
        2.9399311504095653,
        2.9399434346232667,
        2.939955718836968,
        2.9399680030506694,
        2.9399802872643708,
        2.9399925714780717,
        2.940004855691774,
        2.9400171399054753,
        2.9400294241191762,
        2.940127697828788,
        2.9401399820424894,
        2.9401522662561907,
        2.940164550469892,
        2.940176834683593,
        2.940189118897295,
        2.9402014031109966,
        2.9402136873246976,
        2.940225971538399,
        2.9402382557521007,
        2.9402505399658017,
        2.9402628241795035,
        2.940275108393205,
        2.940287392606906,
        2.9402996768206076,
        2.940311961034309,
        2.9403242452480107,
        2.940336529461712,
        2.9403488136754135,
        2.940361097889115,
        2.940373382102816,
        2.9403856663165175,
        2.9403979505302194,
        2.9404102347439203,
        2.940520792667233,
        2.940533076880935,
        2.940545361094636,
        2.9405576453083375,
        2.940569929522039,
        2.9405822137357402,
        2.940594497949441,
        2.9406067821631434,
        2.940619066376845,
        2.9406313505905457,
        2.940643634804247,
        2.940655919017949,
        2.9406682032316502,
        2.9406804874453516,
        2.940692771659053,
        2.9407050558727543,
        2.9407173400864557,
        2.9407296243001575,
        2.940741908513859,
        2.9407541927275602,
        2.9407664769412616,
        2.9407787611549625,
        2.9407910453686643,
        2.940803329582366,
        2.94084018222347,
        2.940852466437171,
        2.940864750650873,
        2.9408770348645743,
        2.9408893190782757,
        2.940901603291977,
        2.9409138875056784,
        2.9409261717193798,
        2.9409384559330816,
        2.940950740146783,
        2.940963024360484,
        2.9409753085741857,
        2.940987592787887,
        2.940999877001589,
        2.9410121612152897,
        2.9410244454289916,
        2.941036729642693,
        2.941049013856394,
        2.941061298070095,
        2.9410735822837974,
        2.9410858664974984,
        2.9410981507111997,
        2.941110434924901,
        2.9411227191386025,
        2.9411350033523043,
        2.9411472875660056,
        2.941159571779707,
        2.9411718559934084,
        2.9411841402071097,
        2.941196424420811,
        2.941208708634513,
        2.9412209928482143,
        2.941233277061915,
        2.9412455612756165,
        2.9412578454893183,
        2.9412701297030197,
        2.941282413916721,
        2.9412946981304224,
        2.941306982344124,
        2.941319266557825,
        2.941331550771527,
        2.9413438349852283,
        2.9413561191989297,
        2.941368403412631,
        2.941380687626332,
        2.941392971840034,
        2.9414052560537356,
        2.9414175402674365,
        2.941429824481138,
        2.9414421086948397,
        2.9414543929085406,
        2.9414666771222424,
        2.9414789613359438,
        2.941491245549645,
        2.9415035297633465,
        2.941515813977048,
        2.941528098190749,
        2.941540382404451,
        2.9415526666181524,
        2.9415649508318533,
        2.941577235045555,
        2.9415895192592565,
        2.941601803472958,
        2.941614087686659,
        2.941626371900361,
        2.941638656114062,
        2.9416509403277633,
        2.941663224541465,
        2.9416755087551665,
        2.941687792968868,
        2.941700077182569,
        2.94171236139627,
        2.941724645609972,
        2.9417369298236737,
        2.941749214037375,
        2.9417614982510765,
        2.941773782464778,
        2.941786066678479,
        2.9417983508921806,
        2.9418106351058824,
        2.9418229193195837,
        2.9418352035332846,
        2.941847487746986,
        2.941859771960688,
        2.941872056174389,
        2.9418843403880905,
        2.941896624601792,
        2.9419089088154933,
        2.9419211930291946,
        2.9419334772428964,
        2.9419457614565974,
        2.941958045670299,
        2.9419703298840005,
        2.9419826140977015,
        2.9419948983114033,
        2.942007182525105,
        2.942019466738806,
        2.9420317509525074,
        2.942044035166209,
        2.94205631937991,
        2.942068603593612,
        2.9420808878073132,
        2.9420931720210146,
        2.942105456234716,
        2.9421177404484173,
        2.9421300246621187,
        2.9421423088758205,
        2.942154593089522,
        2.942166877303223,
        2.9421791615169246,
        2.942191445730626,
        2.9422037299443273,
        2.9422160141580287,
        2.9422282983717305,
        2.9422405825854314,
        2.942252866799133,
        2.9422651510128346,
        2.942277435226536,
        2.9422897194402373,
        2.9423020036539387,
        2.9423142878676396,
        2.9423265720813414,
        2.942338856295043,
        2.942351140508744,
        2.9424616984320573,
        2.9424739826457587,
        2.94248626685946,
        2.9424985510731614,
        2.9425108352868627,
        2.942523119500564,
        2.942535403714266,
        2.942547687927967,
        2.9425599721416686,
        2.94257225635537,
        2.942584540569071,
        2.942596824782773,
        2.9426091089964745,
        2.9426213932101755,
        2.942633677423877,
        2.9426459616375786,
        2.9426582458512796,
        2.9426705300649814,
        2.9426828142786827,
        2.942695098492384,
        2.9427073827060855,
        2.942719666919787,
        2.942731951133488,
        2.94274423534719,
        2.9427565195608913,
        2.9427688037745923,
        2.9427810879882936,
        2.9427933722019954,
        2.942805656415697,
        2.942817940629398,
        2.9428302248431,
        2.942842509056801,
        2.9428547932705023,
        2.942867077484204,
        2.9428793616979054,
        2.942891645911607,
        2.942903930125308,
        2.942916214339009,
        2.942928498552711,
        2.9429407827664127,
        2.9429530669801136,
        2.942965351193815,
        2.942977635407517,
        2.9429899196212177,
        2.9430022038349195,
        2.9430144880486213,
        2.9430267722623222,
        2.9430390564760236,
        2.943051340689725,
        2.9430636249034263,
        2.943075909117128,
        2.9430881933308295,
        2.9431004775445304,
        2.943112761758232,
        2.9431250459719336,
        2.9431373301856354,
        2.9431496143993363,
        2.943161898613038,
        2.9431741828267395,
        2.9431864670404404,
        2.943198751254142,
        2.943211035467844,
        2.943223319681545,
        2.9432356038952463,
        2.943247888108948,
        2.943260172322649,
        2.943272456536351,
        2.943284740750052,
        2.9432970249637536,
        2.943309309177455,
        2.9433215933911563,
        2.9433338776048577,
        2.9433461618185595,
        2.943358446032261,
        2.9433707302459617,
        2.943383014459663,
        2.943395298673365,
        2.9434075828870663,
        2.9434198671007676,
        2.943640982947393,
        2.9441569199228526,
        2.944169204136554,
        2.9441814883502557,
        2.9441937725639566,
        2.9442060567776585,
        2.94421834099136,
        2.944230625205061,
        2.9442429094187625,
        2.944255193632464,
        2.9442674778461657,
        2.944279762059867,
        2.9442920462735684,
        2.9443043304872694,
        2.944316614700971,
        2.9443288989146725,
        2.944341183128374,
        2.9443534673420753,
        2.944365751555777,
        2.944378035769478,
        2.9443903199831793,
        2.944402604196881,
        2.9444148884105825,
        2.944427172624284,
        2.9444394568379852,
        2.944451741051686,
        2.944464025265388,
        2.94447630947909,
        2.9444885936927907,
        2.9445008779064925,
        2.944513162120194,
        2.944525446333895,
        2.9445377305475966,
        2.9445500147612984,
        2.9445622989749998,
        2.9445745831887007,
        2.944586867402402,
        2.9445991516161043,
        2.9446114358298052,
        2.9446237200435066,
        2.944636004257208,
        2.9446482884709093,
        2.9447342779668197,
        2.944746562180521,
        2.944758846394222,
        2.9447711306079234,
        2.944783414821625,
        2.944795699035326,
        2.944807983249028,
        2.9448202674627293,
        2.9448325516764307,
        2.944844835890132,
        2.9448571201038334,
        2.9448694043175347,
        2.9448816885312366,
        2.944893972744938,
        2.944906256958639,
        2.9449185411723406,
        2.9449308253860425,
        2.9449431095997434,
        2.9449553938134447,
        2.9449676780271465,
        2.9449799622408475,
        2.944992246454549,
        2.9450045306682506,
        2.945016814881952,
        2.9450290990956534,
        2.9450413833093547,
        2.9450536675230556,
        2.945065951736758,
        2.9450782359504593,
        2.94509052016416,
        2.945102804377862,
        2.9451150885915633,
        2.9451273728052643,
        2.945139657018966,
        2.945151941232668,
        2.945164225446369,
        2.94517650966007,
        2.9451887938737715,
        2.9452010780874733,
        2.9452133623011747,
        2.945225646514876,
        2.9452379307285774,
        2.945250214942279,
        2.94526249915598,
        2.945274783369682,
        2.945287067583383,
        2.9452993517970847,
        2.945311636010786,
        2.945323920224487,
        2.945336204438189,
        2.9453484886518906,
        2.9453607728655915,
        2.945373057079293,
        2.9453853412929947,
        2.9453976255066956,
        2.9454099097203974,
        2.9454221939340988,
        2.9454344781478,
        2.9454467623615015,
        2.945459046575203,
        2.945471330788904,
        2.945483615002606,
        2.9454958992163074,
        2.9455081834300083,
        2.94552046764371,
        2.945532751857412,
        2.945545036071113,
        2.945557320284814,
        2.945569604498516,
        2.945581888712217,
        2.9455941729259183,
        2.94560645713962,
        2.9456187413533215,
        2.945631025567023,
        2.945643309780724,
        2.945655593994425,
        2.9456678782081274,
        2.9456801624218287,
        2.9456924466355296,
        2.945704730849231,
        2.945717015062933,
        2.9457292992766337,
        2.9457415834903355,
        2.9457538677040374,
        2.9457661519177383,
        2.9457784361314396,
        2.945790720345141,
        2.945803004558843,
        2.945815288772544,
        2.9458275729862455,
        2.9458398571999465,
        2.9458521414136483,
        2.9458644256273496,
        2.945876709841051,
        2.9458889940547524,
        2.945901278268454,
        2.945913562482155,
        2.9459258466958564,
        2.9459381309095587,
        2.9459504151232596,
        2.945962699336961,
        2.9459749835506623,
        2.945987267764364,
        2.9459995519780655,
        2.946011836191767,
        2.9460241204054682,
        2.9460364046191696,
        2.946048688832871,
        2.9460609730465723,
        2.9460732572602737,
        2.9460855414739755,
        2.946097825687677,
        2.946110109901378,
        2.946122394115079,
        2.9461346783287814,
        2.9461469625424823,
        2.9461592467561837,
        2.9461715309698855,
        2.9461838151835864,
        2.9461960993972878,
        2.9462083836109896,
        2.946220667824691,
        2.9462329520383923,
        2.9462452362520937,
        2.9462575204657946,
        2.946269804679497,
        2.946282088893198,
        2.946294373106899,
        2.9463066573206005,
        2.9463189415343023,
        2.946331225748003,
        2.946343509961705,
        2.946355794175407,
        2.9463680783891077,
        2.946380362602809,
        2.9463926468165105,
        2.9464049310302123,
        2.9464172152439136,
        2.946429499457615,
        2.946441783671316,
        2.9464540678850177,
        2.9464663520987195,
        2.9464786363124205,
        2.946490920526122,
        2.9465032047398236,
        2.9465154889535246,
        2.946527773167226,
        2.9465400573809277,
        2.946552341594629,
        2.9465646258083305,
        2.946576910022032,
        2.946589194235733,
        2.946601478449435,
        2.9466137626631363,
        2.9466260468768377,
        2.946638331090539,
        2.9466506153042404,
        2.946662899517942,
        2.946675183731643,
        2.946687467945345,
        2.9466997521590463,
        2.9467120363727473,
        2.9467243205864486,
        2.946736604800151,
        2.946748889013852,
        2.946761173227553,
        2.946773457441255,
        2.946785741654956,
        2.9467980258686572,
        2.946810310082359,
        2.9468225942960604,
        2.946834878509762,
        2.946847162723463,
        2.946859446937164,
        2.9468717311508663,
        2.9468840153645677,
        2.9468962995782686,
        2.94690858379197,
        2.9469208680056718,
        2.946933152219373,
        2.9469454364330745,
        2.946957720646776,
        2.946970004860477,
        2.9469822890741786,
        2.94699457328788,
        2.9470068575015818,
        2.947019141715283,
        2.9470314259289845,
        2.9470437101426854,
        2.947055994356387,
        2.947068278570089,
        2.947105131211193,
        2.947117415424894,
        2.9471296996385954,
        2.947141983852297,
        2.9471542680659986,
        2.9471665522797,
        2.9471788364934013,
        2.9471911207071027,
        2.947504368156489,
        2.9481861420169175,
        2.948198426230619,
        2.9482107104443203,
        2.948222994658022,
        2.9482352788717234,
        2.9482475630854243,
        2.948259847299126,
        2.948272131512828,
        2.948284415726529,
        2.9482966999402302,
        2.948308984153932,
        2.948321268367633,
        2.948333552581335,
        2.948345836795036,
        2.9483581210087375,
        2.948370405222439,
        2.9483826894361402,
        2.948394973649841,
        2.9484072578635434,
        2.9484195420772448,
        2.9484318262909457,
        2.9484441105046475,
        2.948456394718349,
        2.9484686789320502,
        2.9484809631457516,
        2.9484932473594534,
        2.9485055315731543,
        2.9485178157868557,
        2.948530100000557,
        2.948542384214259,
        2.94855466842796,
        2.9485669526416616,
        2.9485792368553625,
        2.9485915210690643,
        2.948603805282766,
        2.948616089496467,
        2.9486283737101684,
        2.948763500060884,
        2.9487757842745856,
        2.948788068488287,
        2.948800352701988,
        2.9488126369156897,
        2.9488249211293915,
        2.948837205343093,
        2.948849489556794,
        2.9488617737704956,
        2.9488740579841974,
        2.9488863421978984,
        2.9488986264115997,
        2.9489109106253015,
        2.9489231948390024,
        2.9489354790527043,
        2.9489477632664056,
        2.948960047480107,
        2.9489723316938083,
        2.9489846159075097,
        2.9489969001212106,
        2.949009184334913,
        2.9490214685486142,
        2.949033752762315,
        2.9490460369760165,
        2.9490583211897183,
        2.9490706054034197,
        2.949082889617121,
        2.949095173830823,
        2.949107458044524,
        2.949119742258225,
        2.9491320264719265,
        2.9491443106856283,
        2.9491565948993297,
        2.949168879113031,
        2.949181163326732,
        2.9491934475404338,
        2.9492057317541356,
        2.9492180159678365,
        2.949230300181538,
        2.9492425843952397,
        2.9492548686089406,
        2.949267152822642,
        2.949279437036344,
        2.949291721250045,
        2.9493040054637465,
        2.949316289677448,
        2.949328573891149,
        2.949340858104851,
        2.9493531423185524,
        2.9493654265322533,
        2.949377710745955,
        2.9493899949596565,
        2.949402279173358,
        2.949414563387059,
        2.949426847600761,
        2.949439131814462,
        2.9494514160281633,
        2.9494637002418647,
        2.949475984455567,
        2.949488268669268,
        2.949500552882969,
        2.949512837096671,
        2.949525121310372,
        2.9495374055240737,
        2.949549689737775,
        2.9495619739514765,
        2.949574258165178,
        2.949586542378879,
        2.94959882659258,
        2.9496111108062824,
        2.9496233950199837,
        2.9496356792336846,
        2.949647963447386,
        2.949660247661088,
        2.949672531874789,
        2.9496848160884905,
        2.9496971003021923,
        2.9497093845158933,
        2.9497216687295946,
        2.9497339529432964,
        2.949746237156998,
        2.949758521370699,
        2.9497708055844005,
        2.9497830897981014,
        2.9497953740118033,
        2.949807658225505,
        2.949819942439206,
        2.9498322266529073,
        2.949844510866609,
        2.94985679508031,
        2.949869079294012,
        2.9498813635077132,
        2.9498936477214146,
        2.949905931935116,
        2.9499182161488173,
        2.9499305003625187,
        2.9499427845762205,
        2.949955068789922,
        2.949967353003623,
        2.9499796372173246,
        2.949991921431026,
        2.9500042056447273,
        2.9500164898584287,
        2.9500287740721305,
        2.9500410582858314,
        2.9500533424995328,
        2.950065626713234,
        2.950077910926936,
        2.9500901951406373,
        2.9501024793543387,
        2.95011476356804,
        2.9501270477817414,
        2.950139331995443,
        2.950151616209144,
        2.950163900422846,
        2.9501761846365473,
        2.950188468850248,
        2.9502007530639496,
        2.950213037277652,
        2.950225321491353,
        2.950237605705054,
        2.9502498899187555,
        2.9502621741324573,
        2.9502744583461586,
        2.95028674255986,
        2.9502990267735614,
        2.9503113109872627,
        2.950323595200964,
        2.950335879414666,
        2.9503481636283673,
        2.9503604478420686,
        2.95037273205577,
        2.950385016269471,
        2.9503973004831727,
        2.9504095846968745,
        2.9504218689105755,
        2.950434153124277,
        2.9504464373379786,
        2.9504587215516795,
        2.9504710057653813,
        2.9504832899790827,
        2.950495574192784,
        2.9505078584064854,
        2.950520142620187,
        2.950532426833888,
        2.95054471104759,
        2.9505569952612913,
        2.9505692794749923,
        2.950581563688694,
        2.9505938479023954,
        2.950606132116097,
        2.950618416329798,
        2.9506307005435,
        2.950642984757201,
        2.9506552689709022,
        2.9506675531846036,
        2.9506798373983054,
        2.950692121612007,
        2.950704405825708,
        2.950716690039409,
        2.950728974253111,
        2.9507412584668127,
        2.9507535426805136,
        2.9507658268942154,
        2.9507781111079168,
        2.9507903953216177,
        2.9508026795353195,
        2.9508149637490213,
        2.950827247962722,
        2.9508395321764236,
        2.950851816390125,
        2.9508641006038263,
        2.950876384817528,
        2.9508886690312295,
        2.950900953244931,
        2.950913237458632,
        2.9509255216723336,
        2.9509378058860354,
        2.9509500900997367,
        2.950962374313438,
        2.9509746585271395,
        2.9509869427408404,
        2.950999226954542,
        2.951011511168244,
        2.951023795381945,
        2.9510360795956463,
        2.951048363809348,
        2.951060648023049,
        2.951072932236751,
        2.951085216450452,
        2.9510975006641536,
        2.951109784877855,
        2.9511220690915563,
        2.951134353305257,
        2.9511466375189594,
        2.951158921732661,
        2.9511712059463617,
        2.9511834901600635,
        2.951195774373765,
        2.9512080585874663,
        2.9512203428011676,
        2.9512326270148694,
        2.9512449112285704,
        2.9512571954422717,
        2.9512694796559735,
        2.951281763869675,
        2.9512940480833763,
        2.9513063322970776,
        2.9513186165107785,
        2.9513309007244803,
        2.951343184938182,
        2.951355469151883,
        2.951367753365585,
        2.9513800375792862,
        2.951392321792987,
        2.951404606006689,
        2.9514168902203908,
        2.9514291744340917,
        2.951441458647793,
        2.9514537428614944,
        2.951466027075196,
        2.9514783112888976,
        2.951490595502599,
        2.9515028797163,
        2.9515151639300017,
        2.951527448143703,
        2.9515397323574044,
        2.9515520165711058,
        2.9515643007848076,
        2.9515765849985085,
        2.95158886921221,
        2.9516011534259117,
        2.951613437639613,
        2.9516257218533144,
        2.9516380060670158,
        2.9516502902807176,
        2.9516625744944185,
        2.9516748587081203,
        2.9516871429218217,
        2.951699427135523,
        2.9517117113492244,
        2.9517239955629258,
        2.951736279776627,
        2.951748563990329,
        2.9517608482040303,
        2.951773132417731,
        2.951785416631433,
        2.9517977008451344,
        2.9518099850588357,
        2.951822269272537,
        2.951834553486239,
        2.95184683769994,
        2.951859121913641,
        2.951871406127343,
        2.9518836903410444,
        2.9518959745547457,
        2.951908258768447,
        2.951920542982148,
        2.95193282719585,
        2.9519451114095516,
        2.9519573956232525,
        2.951969679836954,
        2.9519819640506557,
        2.9519942482643566,
        2.9520065324780584,
        2.9520188166917603,
        2.952031100905461,
        2.9520433851191625,
        2.952055669332864,
        2.9520679535465653,
        2.952080237760267,
        2.9520925219739684,
        2.9521048061876694,
        2.952117090401371,
        2.9521293746150725,
        2.952141658828774,
        2.9521539430424752,
        2.952166227256177,
        2.952178511469878,
        2.9521907956835793,
        2.9522030798972816,
        2.9522153641109825,
        2.952227648324684,
        2.9522399325383852,
        2.9522522167520866,
        2.952264500965788,
        2.9522767851794898,
        2.952289069393191,
        2.9523013536068925,
        2.952313637820594,
        2.9523259220342952,
        2.9523382062479966,
        2.9523504904616984,
        2.9523627746753998,
        2.9523750588891007,
        2.952387343102802,
        2.952399627316504,
        2.952411911530205,
        2.9524241957439066,
        2.9524364799576084,
        2.9524487641713093,
        2.9524610483850107,
        2.9524733325987125,
        2.952485616812414,
        2.952497901026115,
        2.9525101852398166,
        2.9525224694535175,
        2.9525347536672193,
        2.952547037880921,
        2.952559322094622,
        2.9525716063083234,
        2.952583890522025,
        2.952596174735726,
        2.952608458949428,
        2.9526207431631293,
        2.9526330273768306,
        2.952645311590532,
        2.9526575958042334,
        2.9526698800179347,
        2.9526821642316365,
        2.952694448445338,
        2.952706732659039,
        2.9527190168727406,
        2.952731301086442,
        2.9527435853001434,
        2.9527558695138447,
        2.9527681537275465,
        2.9527804379412474,
        2.952792722154949,
        2.9528050063686506,
        2.952817290582352,
        2.9528295747960533,
        2.9528418590097547,
        2.952854143223456,
        2.9528664274371574,
        2.9528787116508592,
        2.95289099586456,
        2.952903280078262,
        2.9529155642919633,
        2.9529278485056643,
        2.952940132719366,
        2.952952416933068,
        2.952964701146769,
        2.95297698536047,
        2.9529892695741715,
        2.953001553787873,
        2.9530138380015747,
        2.953026122215276,
        2.9530384064289774,
        2.9530506906426788,
        2.95306297485638,
        2.953075259070082,
        2.9530875432837833,
        2.9530998274974847,
        2.953112111711186,
        2.953124395924887,
        2.953136680138589,
        2.9531489643522906,
        2.9531612485659915,
        2.953173532779693,
        2.9531858169933947,
        2.9531981012070956,
        2.9532103854207974,
        2.9532226696344988,
        2.9532349538482,
        2.9532472380619015,
        2.953259522275603,
        2.9532718064893047,
        2.953284090703006,
        2.9532963749167074,
        2.9533086591304083,
        2.95332094334411,
        2.9533332275578115,
        2.953345511771513,
        2.953357795985214,
        2.953370080198916,
        2.953382364412617,
        2.9533946486263183,
        2.95340693284002,
        2.9534192170537215,
        2.953431501267423,
        2.953443785481124,
        2.953456069694825,
        2.953468353908527,
        2.9534806381222287,
        2.9534929223359296,
        2.9535052065496314,
        2.953517490763333,
        2.9536710434346003,
        2.9541685540895077,
        2.954180838303209,
        2.9541931225169105,
        2.9542054067306123,
        2.9542176909443136,
        2.954229975158015,
        2.954242259371716,
        2.9542545435854177,
        2.954266827799119,
        2.9542791120128205,
        2.954291396226522,
        2.9543036804402236,
        2.9543159646539245,
        2.954328248867626,
        2.954340533081328,
        2.954352817295029,
        2.9543651015087304,
        2.954377385722432,
        2.954389669936133,
        2.9544019541498345,
        2.9544142383635363,
        2.9544265225772377,
        2.954438806790939,
        2.9544510910046404,
        2.954463375218342,
        2.954475659432043,
        2.954487943645745,
        2.9545002278594463,
        2.9545125120731472,
        2.954524796286849,
        2.954537080500551,
        2.954549364714252,
        2.954561648927953,
        2.954573933141655,
        2.954586217355356,
        2.9545985015690572,
        2.954610785782759,
        2.9546230699964604,
        2.9546353542101618,
        2.954647638423863,
        2.954659922637564,
        2.9546722068512663,
        2.9546844910649677,
        2.954758196347176,
        2.9552004280404267,
        2.9552127122541285,
        2.95522499646783,
        2.9552372806815312,
        2.9552495648952326,
        2.9552618491089335,
        2.9552741333226358,
        2.955286417536337,
        2.955298701750038,
        2.9553109859637394,
        2.9553232701774412,
        2.955335554391142,
        2.955347838604844,
        2.9553601228185458,
        2.9553724070322467,
        2.955384691245948,
        2.9553969754596494,
        2.955409259673351,
        2.9554215438870526,
        2.955433828100754,
        2.955446112314455,
        2.9554583965281567,
        2.955470680741858,
        2.9554829649555594,
        2.9554952491692608,
        2.9555075333829626,
        2.9555198175966635,
        2.955532101810365,
        2.9555443860240667,
        2.955556670237768,
        2.9555689544514694,
        2.9555812386651708,
        2.955593522878872,
        2.955605807092574,
        2.9556180913062753,
        2.955630375519976,
        2.955642659733678,
        2.9556549439473794,
        2.9556672281610803,
        2.955679512374782,
        2.955691796588484,
        2.955704080802185,
        2.955716365015886,
        2.9557286492295876,
        2.9557409334432894,
        2.9557532176569907,
        2.955765501870692,
        2.9557777860843935,
        2.955790070298095,
        2.955802354511796,
        2.9558146387254975,
        2.9558269229391994,
        2.9558392071529007,
        2.955851491366602,
        2.955863775580303,
        2.9558760597940053,
        2.9558883440077066,
        2.955894486114557,
        2.9559006282214075,
        2.955912912435109,
        2.9559251966488107,
        2.9559374808625116,
        2.9559497650762134,
        2.9562323019913457,
        2.9562445862050475,
        2.956256870418749,
        2.9562691546324498,
        2.9562814388461516,
        2.9562937230598534,
        2.9563060072735543,
        2.9563182914872557,
        2.956330575700957,
        2.956342859914659,
        2.95635514412836,
        2.9563674283420616,
        2.9563797125557625,
        2.9563919967694643,
        2.9564042809831657,
        2.956416565196867,
        2.956428849410569,
        2.95644113362427,
        2.956453417837971,
        2.9564657020516725,
        2.9564779862653747,
        2.9564902704790756,
        2.956502554692777,
        2.9565148389064784,
        2.9565271231201797,
        2.9565394073338815,
        2.956551691547583,
        2.9565639757612843,
        2.9565762599749856,
        2.956588544188687,
        2.9566008284023884,
        2.95661311261609,
        2.9566253968297915,
        2.956637681043493,
        2.956649965257194,
        2.9566622494708956,
        2.9566745336845974,
        2.9566868178982983,
        2.9566991021119997,
        2.9567113863257015,
        2.9567236705394024,
        2.956735954753104,
        2.9567482389668056,
        2.956760523180507,
        2.9567728073942083,
        2.9567850916079097,
        2.9567973758216106,
        2.956809660035313,
        2.9568219442490142,
        2.956834228462715,
        2.956846512676417,
        2.9568587968901183,
        2.9568710811038192,
        2.956883365317521,
        2.956895649531223,
        2.9569079337449238,
        2.956920217958625,
        2.9569325021723265,
        2.9569447863860283,
        2.9569570705997297,
        2.956969354813431,
        2.956981639027132,
        2.9569939232408338,
        2.9570062074545356,
        2.9570184916682365,
        2.9570307758819383,
        2.9570369179887885,
        2.9570430600956397,
        2.9570553443093406,
        2.9570553443093406,
        2.957067628523042,
        2.957079912736744,
        2.957092196950445,
        2.9571044811641465,
        2.957116765377848,
        2.957129049591549,
        2.9573624496518764,
        2.957374733865578,
        2.957387018079279,
        2.9575835654985014,
        2.9575958497122032,
        2.957608133925905,
        2.957620418139606,
        2.9576327023533073,
        2.957644986567009,
        2.95765727078071,
        2.9576695549944114,
        2.9576818392081137,
        2.9576941234218146,
        2.957706407635516,
        2.9577186918492173,
        2.9577309760629187,
        2.9577432602766205,
        2.957755544490322,
        2.9577678287040228,
        2.9577801129177246,
        2.957792397131426,
        2.957804681345127,
        2.9578169655588287,
        2.9578292497725305,
        2.9578415339862314,
        2.9578538181999328,
        2.9578661024136346,
        2.957878386627336,
        2.9578906708410373,
        2.9579029550547387,
        2.95791523926844,
        2.9579275234821414,
        2.957939807695843,
        2.9579520919095446,
        2.957964376123246,
        2.9579766603369473,
        2.9579889445506486,
        2.9580012287643496,
        2.958013512978052,
        2.958025797191753,
        2.958038081405454,
        2.9580503656191555,
        2.9580626498328573,
        2.9580749340465586,
        2.95808721826026,
        2.958099502473962,
        2.9581117866876627,
        2.958124070901364,
        2.9581363551150655,
        2.9581486393287673,
        2.9581609235424686,
        2.95817320775617,
        2.958185491969871,
        2.9581977761835727,
        2.9582100603972745,
        2.9582223446109754,
        2.958234628824677,
        2.9582469130383786,
        2.9582591972520795,
        2.958271481465781,
        2.958283765679483,
        2.958296049893184,
        2.9584557446713022,
        2.9584680288850036,
        2.9584803130987054,
        2.9584925973124068,
        2.958504881526108,
        2.9585171657398095,
        2.958529449953511,
        2.9585417341672127,
        2.9585540183809136,
        2.9585663025946154,
        2.9585785868083168,
        2.9585908710220177,
        2.958603155235719,
        2.9586154394494213,
        2.958627723663122,
        2.9586400078768236,
        2.958652292090525,
        2.9586645763042267,
        2.958676860517928,
        2.9586891447316295,
        2.9587014289453313,
        2.958713713159032,
        2.9587259973727336,
        2.958738281586435,
        2.9587505658001367,
        2.958762850013838,
        2.9587751342275395,
        2.9587874184412404,
        2.958799702654942,
        2.958811986868644,
        2.958824271082345,
        2.9588365552960463,
        2.958848839509748,
        2.958861123723449,
        2.9588734079371504,
        2.958885692150852,
        2.9588979763645535,
        2.958910260578255,
        2.9589225447919563,
        2.9589348290056576,
        2.9589471132193594,
        2.958959397433061,
        2.9589716816467617,
        2.9589839658604635,
        2.958996250074165,
        2.9590085342878663,
        2.9590208185015676,
        2.9590331027152694,
        2.9590453869289703,
        2.9590576711426717,
        2.959069955356373,
        2.959082239570075,
        2.9590945237837762,
        2.9591068079974776,
        2.959119092211179,
        2.9591313764248803,
        2.959143660638582,
        2.959155944852283,
        2.959168229065985,
        2.9591805132796862,
        2.959192797493387,
        2.9592050817070885,
        2.9592173659207908,
        2.9592296501344917,
        2.959241934348193,
        2.9592542185618944,
        2.9592665027755958,
        2.9592787869892976,
        2.959291071202999,
        2.9593033554167,
        2.9593156396304017,
        2.959327923844103,
        2.959340208057804,
        2.959352492271506,
        2.9593647764852076,
        2.959377060698909,
        2.95938934491261,
        2.9594016291263117,
        2.9594139133400135,
        2.9594261975537144,
        2.9594384817674158,
        2.9594507659811176,
        2.9594630501948185,
        2.9594753344085203,
        2.9594876186222216,
        2.959499902835923,
        2.9595981765455344,
        2.9596104607592357,
        2.959622744972937,
        2.959635029186639,
        2.95964731340034,
        2.959659597614041,
        2.9596718818277425,
        2.9596841660414444,
        2.9596964502551457,
        2.959708734468847,
        2.959721018682548,
        2.95973330289625,
        2.9597455871099516,
        2.9597578713236525,
        2.9597701555373543,
        2.9597824397510557,
        2.9597947239647566,
        2.959807008178458,
        2.9598192923921602,
        2.959831576605861,
        2.9598438608195625,
        2.959856145033264,
        2.9598684292469652,
        2.959880713460667,
        2.9598929976743684,
        2.9599052818880693,
        2.959917566101771,
        2.9599298503154725,
        2.959942134529174,
        2.9599544187428757,
        2.959966702956577,
        2.959978987170278,
        2.9599912713839793,
        2.960003555597681,
        2.9600158398113825,
        2.960028124025084,
        2.9600404082387852,
        2.9600526924524866,
        2.960064976666188,
        2.9600772608798898,
        2.960089545093591,
        2.9601018293072925,
        2.960114113520994,
        2.960126397734695,
        2.960138681948396,
        2.9601509661620984,
        2.9601632503757997,
        2.9601755345895007,
        2.9601878188032025,
        2.960200103016904,
        2.960212387230605,
        2.9602246714443066,
        2.9602369556580084,
        2.9602492398717093,
        2.9602615240854107,
        2.960273808299112,
        2.960286092512814,
        2.960298376726515,
        2.9603106609402166,
        2.9603229451539175,
        2.9603352293676193,
        2.960347513581321,
        2.960359797795022,
        2.960372082008724,
        2.960384366222425,
        2.960396650436126,
        2.960408934649828,
        2.9604212188635297,
        2.9604335030772306,
        2.960445787290932,
        2.9604580715046334,
        2.960507208359439,
        2.9605194925731406,
        2.960531776786842,
        2.9605440610005433,
        2.9605563452142447,
        2.9605686294279465,
        2.9605809136416474,
        2.960593197855349,
        2.9606054820690506,
        2.960617766282752,
        2.9606300504964533,
        2.9606423347101547,
        2.960654618923856,
        2.9606669031375574,
        2.9606791873512592,
        2.96069147156496,
        2.960703755778662,
        2.9607160399923633,
        2.9607283242060642,
        2.9607406084197656,
        2.960752892633468,
        2.9607651768471692,
        2.96077746106087,
        2.960789745274572,
        2.9608020294882733,
        2.9608143137019747,
        2.960826597915676,
        2.960838882129378,
        2.9608511663430788,
        2.96086345055678,
        2.960875734770482,
        2.960974008480093,
        2.9609862926937947,
        2.9609985769074956,
        2.9610108611211974,
        2.961023145334899,
        2.9610354295486,
        2.9610477137623015,
        2.961059997976003,
        2.961072282189704,
        2.961084566403406,
        2.9610968506171074,
        2.9611091348308083,
        2.96112141904451,
        2.9611337032582115,
        2.961145987471913,
        2.961158271685614,
        2.961170555899316,
        2.961182840113017,
        2.9611951243267183,
        2.96120740854042,
        2.9612196927541214,
        2.961231976967823,
        2.961244261181524,
        2.9612565453952255,
        2.961268829608927,
        2.9612811138226287,
        2.9612933980363296,
        2.9613056822500314,
        2.961317966463733,
        2.9613302506774337,
        2.9613425348911355,
        2.9613548191048373,
        2.9613671033185383,
        2.9613793875322396,
        2.961391671745941,
        2.9614039559596423,
        2.961416240173344,
        2.9614285243870455,
        2.961440808600747,
        2.9614530928144482,
        2.9614653770281496,
        2.961477661241851,
        2.9614899454555528,
        2.961502229669254,
        2.9615145138829555,
        2.9615267980966564,
        2.9615390823103582,
        2.96155136652406,
        2.961563650737761,
        2.9615759349514623,
        2.961588219165164,
        2.961600503378865,
        2.961612787592567,
        2.9616250718062687,
        2.9616373560199696,
        2.961649640233671,
        2.9616619244473723,
        2.9616742086610737,
        2.9616864928747755,
        2.961698777088477,
        2.9617110613021778,
        2.9617233455158796,
        2.961735629729581,
        2.9617479139432823,
        2.9617601981569837,
        2.9617724823706855,
        2.9617847665843864,
        2.9617970507980877,
        2.9618093350117896,
        2.961821619225491,
        2.9618339034391923,
        2.9618461876528936,
        2.961858471866595,
        2.9618707560802964,
        2.961883040293998,
        2.961895324507699,
        2.961907608721401,
        2.9619198929351023,
        2.961932177148803,
        2.961944461362505,
        2.961956745576207,
        2.9619690297899077,
        2.961981314003609,
        2.9619935982173105,
        2.962005882431012,
        2.9620181666447136,
        2.962030450858415,
        2.9620427350721164,
        2.9620550192858177,
        2.962067303499519,
        2.9620795877132204,
        2.9620918719269222,
        2.9621041561406236,
        2.9621164403543245,
        2.962128724568026,
        2.9621410087817277,
        2.9621532929954295,
        2.9621655772091304,
        2.962177861422832,
        2.9621901456365336,
        2.9622024298502345,
        2.9622147140639363,
        2.9622269982776377,
        2.962239282491339,
        2.9622515667050404,
        2.962263850918742,
        2.962276135132443,
        2.962288419346145,
        2.9623007035598463,
        2.9623129877735472,
        2.962325271987249,
        2.9623375562009504,
        2.9623498404146518,
        2.962362124628353,
        2.962374408842055,
        2.962386693055756,
        2.9623989772694572,
        2.962411261483159,
        2.9624235456968604,
        2.9624358299105618,
        2.962448114124263,
        2.9624603983379645,
        2.962472682551666,
        2.9624849667653677,
        2.9624972509790686,
        2.9625095351927704,
        2.9625218194064717,
        2.9625341036201727,
        2.9625463878338745,
        2.9625586720475763,
        2.962570956261277,
        2.9625832404749786,
        2.96259552468868,
        2.9626078089023813,
        2.962620093116083,
        2.9626323773297845,
        2.9626446615434854,
        2.962656945757187,
        2.9626692299708886,
        2.96268151418459,
        2.9626937983982917,
        2.962706082611993,
        2.962718366825694,
        2.9627306510393954,
        2.9627429352530976,
        2.9627552194667985,
        2.9627675036805,
        2.9627797878942013,
        2.9627920721079026,
        2.962804356321604,
        2.962816640535306,
        2.9628289247490067,
        2.9628412089627085,
        2.96285349317641,
        2.962865777390111,
        2.962878061603813,
        2.9628903458175144,
        2.962902630031216,
        2.9629149142449167,
        2.9629271984586185,
        2.96293948267232,
        2.9629517668860212,
        2.9629640510997226,
        2.9629763353134244,
        2.9629886195271253,
        2.9630009037408267,
        2.9630131879545285,
        2.96302547216823,
        2.9630377563819312,
        2.9630500405956326,
        2.9630623248093335,
        2.9630746090230353,
        2.963086893236737,
        2.963099177450438,
        2.96311146166414,
        2.963123745877841,
        2.963136030091542,
        2.963148314305244,
        2.9631605985189458,
        2.9631728827326467,
        2.963185166946348,
        2.9631974511600494,
        2.9632097353737508,
        2.9632220195874526,
        2.963234303801154,
        2.963246588014855,
        2.9632588722285567,
        2.963271156442258,
        2.9632834406559594,
        2.963295724869661,
        2.9633080090833626,
        2.9633202932970635,
        2.963332577510765,
        2.963344861724467,
        2.963357145938168,
        2.9633694301518694,
        2.963529124929988,
        2.963541409143689,
        2.9635536933573907,
        2.963565977571092,
        2.963578261784794,
        2.963590545998495,
        2.963602830212196,
        2.963615114425898,
        2.9636273986395993,
        2.9636396828533007,
        2.963651967067002,
        2.963664251280703,
        2.963676535494405,
        2.9636888197081066,
        2.9637011039218075,
        2.9637133881355093,
        2.9637256723492107,
        2.9637379565629116,
        2.9637502407766134,
        2.9637625249903152,
        2.963774809204016,
        2.9637870934177175,
        2.963799377631419,
        2.9638116618451207,
        2.963823946058822,
        2.9638362302725234,
        2.9638485144862243,
        2.963860798699926,
        2.9638730829136275,
        2.963885367127329,
        2.9638976513410302,
        2.963909935554732,
        2.963922219768433,
        2.9639345039821343,
        2.9639467881958366,
        2.9639590724095375,
        2.963971356623239,
        2.96398364083694,
        2.9639959250506416,
        2.964008209264343,
        2.9640204934780447,
        2.9640327776917457,
        2.9640450619054475,
        2.964057346119149,
        2.9640696303328498,
        2.9640819145465516,
        2.9640941987602534,
        2.9641064829739543,
        2.9641187671876557,
        2.9641310514013575,
        2.9641433356150584,
        2.96415561982876,
        2.9641679040424616,
        2.964180188256163,
        2.9641924724698643,
        2.9642047566835656,
        2.964217040897267,
        2.964229325110969,
        2.96424160932467,
        2.964253893538371,
        2.9642661777520725,
        2.9642784619657747,
        2.9642907461794756,
        2.964303030393177,
        2.9643153146068784,
        2.96432759882058,
        2.964339883034281,
        2.964352167247983,
        2.9643644514616847,
        2.9643767356753856,
        2.964389019889087,
        2.9644013041027883,
        2.96441358831649,
        2.9644258725301915,
        2.964438156743893,
        2.964450440957594,
        2.9644627251712956,
        2.964475009384997,
        2.9644872935986983,
        2.9644995778123997,
        2.9645118620261015,
        2.9645241462398024,
        2.964536430453504,
        2.964548714667206,
        2.964560998880907,
        2.9645732830946083,
        2.9645855673083097,
        2.964597851522011,
        2.9646101357357124,
        2.9646224199494142,
        2.964634704163115,
        2.964646988376817,
        2.9646592725905183,
        2.9646715568042192,
        2.964683841017921,
        2.964696125231623,
        2.9647084094453238,
        2.964720693659025,
        2.9647329778727265,
        2.9647452620864283,
        2.9647575463001297,
        2.964769830513831,
        2.9647821147275324,
        2.9647943989412338,
        2.964806683154935,
        2.9648189673686365,
        2.9648312515823383,
        2.9648435357960397,
        2.9648558200097406,
        2.964868104223442,
        2.964880388437144,
        2.964892672650845,
        2.9649049568645465,
        2.964917241078248,
        2.964929525291949,
        2.9649418095056506,
        2.9649540937193524,
        2.964966377933054,
        2.964978662146755,
        2.9649909463604565,
        2.965003230574158,
        2.9650155147878596,
        2.965027799001561,
        2.9650400832152624,
        2.9650523674289633,
        2.965064651642665,
        2.9650769358563664,
        2.965089220070068,
        2.965101504283769,
        2.965113788497471,
        2.965126072711172,
        2.9651383569248733,
        2.965150641138575,
        2.9651629253522764,
        2.965175209565978,
        2.965187493779679,
        2.9651997779933805,
        2.9652120622070823,
        2.9652243464207837,
        2.9652366306344846,
        2.9652489148481864,
        2.965261199061888,
        2.9652734832755887,
        2.9652857674892905,
        2.9652980517029923,
        2.9653103359166932,
        2.9653226201303946,
        2.965334904344096,
        2.9653471885577978,
        2.965359472771499,
        2.9653717569852005,
        2.965384041198902,
        2.9653963254126032,
        2.9654086096263046,
        2.965420893840006,
        2.9654331780537078,
        2.965445462267409,
        2.96545774648111,
        2.9654700306948114,
        2.9654823149085137,
        2.9654945991222146,
        2.965506883335916,
        2.9655191675496173,
        2.9655314517633187,
        2.96554373597702,
        2.965556020190722,
        2.9655683044044228,
        2.9655805886181246,
        2.965592872831826,
        2.965605157045527,
        2.965617441259229,
        2.9656297254729305,
        2.9656420096866314,
        2.9656542939003327,
        2.9656665781140346,
        2.9656788623277355,
        2.9656911465414373,
        2.9657034307551386,
        2.96571571496884,
        2.9657279991825414,
        2.9657402833962427,
        2.9657525676099445,
        2.965764851823646,
        2.9657771360373473,
        2.9657894202510486,
        2.9658017044647496,
        2.965813988678452,
        2.965826272892153,
        2.965838557105854,
        2.965850841319556,
        2.9658631255332573,
        2.965875409746958,
        2.96588769396066,
        2.965899978174362,
        2.9659122623880627,
        2.965924546601764,
        2.9659368308154654,
        2.9659491150291672,
        2.9659613992428686,
        2.96597368345657,
        2.965985967670271,
        2.9659982518839727,
        2.966010536097674,
        2.9660228203113754,
        2.9660351045250772,
        2.9660473887387786,
        2.9660596729524795,
        2.966071957166181,
        2.966084241379883,
        2.966096525593584,
        2.9661088098072854,
        2.966121094020987,
        2.966133378234688,
        2.96614566244839,
        2.9661579466620913,
        2.9661702308757922,
        2.966182515089494,
        2.9661947993031954,
        2.9662070835168963,
        2.966219367730598,
        2.9662316519443,
        2.966243936158001,
        2.9662562203717022,
        2.966268504585404,
        2.9662807887991054,
        2.9662930730128068,
        2.966305357226508,
        2.9663176414402095,
        2.966329925653911,
        2.966342209867612,
        2.9663544940813136,
        2.9663667782950154,
        2.9663790625087167,
        2.966391346722418,
        2.966403630936119,
        2.9664159151498213,
        2.9664281993635226,
        2.9664404835772236,
        2.9664527677909254,
        2.9664650520046267,
        2.9664773362183277,
        2.9664896204320295,
        2.9665019046457313,
        2.966514188859432,
        2.9665264730731336,
        2.966538757286835,
        2.9665510415005367,
        2.966563325714238,
        2.9665756099279394,
        2.9665878941416404,
        2.9666984520649535,
        2.966710736278655,
        2.9667230204923563,
        2.9667353047060576,
        2.9667475889197594,
        2.966759873133461,
        2.9667721573471617,
        2.9667844415608635,
        2.966796725774565,
        2.966809009988266,
        2.9668212942019676,
        2.9668335784156694,
        2.9668458626293703,
        2.9668581468430717,
        2.9668704310567735,
        2.966882715270475,
        2.9668949994841762,
        2.9669072836978776,
        2.966919567911579,
        2.9669318521252803,
        2.9669441363389817,
        2.966956420552683,
        2.966968704766385,
        2.966980988980086,
        2.966993273193787,
        2.9670055574074885,
        2.9670178416211908,
        2.9670301258348917,
        2.967042410048593,
        2.9670546942622944,
        2.9670669784759958,
        2.967079262689697,
        2.967091546903399,
        2.9671038311171003,
        2.9671161153308017,
        2.967128399544503,
        2.967140683758204,
        2.967152967971906,
        2.9671652521856076,
        2.967177536399309,
        2.96718982061301,
        2.9672021048267117,
        2.9672143890404135,
        2.9672266732541144,
        2.9672389574678157,
        2.9672512416815175,
        2.9672635258952185,
        2.96727581010892,
        2.967288094322622,
        2.967300378536323,
        2.9673126627500244,
        2.9673249469637257,
        2.967337231177427,
        2.967349515391129,
        2.9673617996048303,
        2.967374083818531,
        2.967386368032233,
        2.9673986522459344,
        2.9674109364596353,
        2.967423220673337,
        2.967435504887039,
        2.96744778910074,
        2.967460073314441,
        2.9674723575281425,
        2.9674846417418443,
        2.9674969259555457,
        2.967509210169247,
        2.9675214943829484,
        2.96753377859665,
        2.9675460628103516,
        2.9675583470240525,
        2.9675706312377543,
        2.9675829154514557,
        2.9675951996651566,
        2.967607483878858,
        2.9676197680925602,
        2.967632052306261,
        2.9676443365199625,
        2.967656620733664,
        2.9676689049473652,
        2.967681189161067,
        2.9676934733747684,
        2.9677057575884698,
        2.967718041802171,
        2.9677303260158725,
        2.9677426102295734,
        2.9677548944432757,
        2.967767178656977,
        2.967779462870678,
        2.9677917470843793,
        2.967804031298081,
        2.967816315511783,
        2.967828599725484,
        2.967840883939185,
        2.967853168152887,
        2.967865452366588,
        2.9678777365802893,
        2.967890020793991,
        2.9679023050076925,
        2.967914589221394,
        2.967926873435095,
        2.9679391576487966,
        2.9679514418624984,
        2.9679637260761997,
        2.9679760102899007,
        2.9679882945036025,
        2.968000578717304,
        2.9680128629310047,
        2.9680251471447066,
        2.9680374313584084,
        2.9680497155721093,
        2.9680619997858106,
        2.968074283999512,
        2.968086568213214,
        2.968098852426915,
        2.9681111366406165,
        2.968123420854318,
        2.9681357050680193,
        2.968147989281721,
        2.968160273495422,
        2.968172557709124,
        2.968184841922825,
        2.968197126136526,
        2.9682094103502275,
        2.9682216945639297,
        2.9682339787776306,
        2.968246262991332,
        2.9682524050981827,
        2.9683813893420474,
        2.968393673555749,
        2.9684059577694506,
        2.968418241983152,
        2.9684305261968533,
        2.9684428104105547,
        2.968455094624256,
        2.9684673788379574,
        2.968479663051659,
        2.96849194726536,
        2.968725347325687,
        2.9687376315393887,
        2.9687499157530906,
        2.9687621999667915,
        2.9687744841804933,
        2.9687867683941946,
        2.9687990526078956,
        2.968811336821597,
        2.968823621035299,
        2.968835905249,
        2.9688481894627015,
        2.968860473676403,
        2.968872757890104,
        2.968885042103806,
        2.9688973263175074,
        2.9689096105312083,
        2.96892189474491,
        2.9689341789586114,
        2.9689464631723124,
        2.9689587473860146,
        2.968971031599716,
        2.968983315813417,
        2.9689956000271183,
        2.96900788424082,
        2.9690201684545214,
        2.969032452668223,
        2.969044736881924,
        2.9690570210956255,
        2.969069305309327,
        2.9690815895230287,
        2.9690938737367296,
        2.9691061579504314,
        2.969118442164133,
        2.9691307263778337,
        2.969143010591535,
        2.9691552948052373,
        2.9691675790189382,
        2.9691798632326396,
        2.9691921474463414,
        2.9692044316600423,
        2.969216715873744,
        2.9692290000874455,
        2.9692412843011473,
        2.9692535685148482,
        2.9692658527285496,
        2.969278136942251,
        2.9692904211559528,
        2.969302705369654,
        2.9693149895833555,
        2.9693272737970564,
        2.969339558010758,
        2.96935184222446,
        2.969364126438161,
        2.9693764106518628,
        2.969388694865564,
        2.969400979079265,
        2.9694132632929664,
        2.969419405399817,
        2.9694255475066687,
        2.9694378317203696,
        2.969450115934071,
        2.96988006341362,
        2.9698923476273222,
        2.9699046318410236,
        2.9699169160547245,
        2.969929200268426,
        2.9699414844821277,
        2.969953768695829,
        2.9699660529095304,
        2.969978337123232,
        2.9699906213369336,
        2.9700029055506345,
        2.9700151897643363,
        2.970027473978038,
        2.970039758191739,
        2.9700520424054404,
        2.9700643266191418,
        2.970076610832843,
        2.970088895046545,
        2.9701011792602463,
        2.9701134634739472,
        2.970125747687649,
        2.9701380319013504,
        2.9701503161150518,
        2.970162600328753,
        2.970174884542455,
        2.970187168756156,
        2.970199452969857,
        2.970211737183559,
        2.9702240213972604,
        2.9702363056109617,
        2.970248589824663,
        2.9702608740383645,
        2.970273158252066,
        2.9702854424657676,
        2.9702977266794686,
        2.9703100108931704,
        2.9703222951068717,
        2.9703345793205727,
        2.970346863534274,
        2.9703591477479763,
        2.970371431961677,
        2.970371431961677,
        2.9703837161753786,
        2.97039600038908,
        2.9704082846027813,
        2.970420568816483,
        2.9704328530301845,
        2.970445137243886,
        2.970457421457587,
        2.9704697056712885,
        2.9704819898849895,
        2.9704942740986917,
        2.970506558312393,
        2.970518842526094,
        2.9705311267397954,
        2.9707276741590185,
        2.97073995837272,
        2.9707522425864212,
        2.9707645268001226,
        2.9707768110138244,
        2.9707890952275253,
        2.9708013794412267,
        2.970813663654928,
        2.97082594786863,
        2.970838232082331,
        2.9708505162960326,
        2.970862800509734,
        2.9708750847234353,
        2.970887368937137,
        2.970899653150838,
        2.97091193736454,
        2.970924221578241,
        2.970936505791942,
        2.970948790005644,
        2.9709610742193457,
        2.9709733584330467,
        2.970985642646748,
        2.9709979268604494,
        2.971053205822106,
        2.9716489901866243,
        2.971661274400326,
        2.9716735586140275,
        2.971685842827729,
        2.9716981270414307,
        2.971710411255132,
        2.971722695468833,
        2.9717349796825343,
        2.971747263896236,
        2.9717595481099375,
        2.971771832323639,
        2.97178411653734,
        2.9717964007510416,
        2.971808684964743,
        2.971814827071594,
        2.9718209691784447,
        2.9718332533921457,
        2.9718455376058475,
        2.971857821819549,
        2.9718701060332497,
        2.9718823902469516,
        2.9718946744606534,
        2.9719069586743543,
        2.9719192428880556,
        2.9719315271017575,
        2.9719438113154584,
        2.97195609552916,
        2.9719683797428615,
        2.971980663956563,
        2.9720666534524733,
        2.9722140640168897,
        2.9722263482305915,
        2.972238632444293,
        2.972250916657994,
        2.9722632008716956,
        2.972275485085397,
        2.9722877692990983,
        2.9723000535128,
        2.9723123377265015,
        2.9723246219402024,
        2.972815990488259,
        2.972828274701961,
        2.9728405589156623,
        2.9728528431293633,
        2.972865127343065,
        2.9728774115567664,
        2.972889695770468,
        2.972901979984169,
        2.972914264197871,
        2.972926548411572,
        2.9729388326252733,
        2.9729511168389755,
        2.9729634010526764,
        2.972975685266378,
        2.972987969480079,
        2.9730002536937805,
        2.973012537907482,
        2.9730248221211837,
        2.9730371063348846,
        2.9730493905485864,
        2.9730616747622878,
        2.9730739589759887,
        2.9730862431896905,
        2.9730985274033923,
        2.9731108116170932,
        2.9731230958307946,
        2.9731353800444964,
        2.9731476642581973,
        2.973159948471899,
        2.9731722326856005,
        2.973184516899302,
        2.973196801113003,
        2.9732090853267046,
        2.973221369540406,
        2.9732336537541078,
        2.973245937967809,
        2.97325822218151,
        2.9732705063952114,
        2.973282790608913,
        2.9732950748226146,
        2.973307359036316,
        2.9733196432500173,
        2.9733319274637187,
        2.97334421167742,
        2.973356495891122,
        2.973368780104823,
        2.9733810643185246,
        2.973393348532226,
        2.973405632745927,
        2.973417916959629,
        2.9734302011733305,
        2.973442485387032,
        2.9734547696007327,
        2.9734670538144345,
        2.973479338028136,
        2.9734916222418373,
        2.9735039064555386,
        2.9735161906692404,
        2.9735284748829414,
        2.9735407590966427,
        2.973553043310345,
        2.973565327524046,
        2.9735776117377473,
        2.9735898959514486,
        2.97360218016515,
        2.9736144643788514,
        2.973626748592553,
        2.973639032806254,
        2.973651317019956,
        2.9736636012336572,
        2.973675885447358,
        2.97368816966106,
        2.973700453874762,
        2.9737127380884627,
        2.973725022302164,
        2.9737373065158654,
        2.973749590729567,
        2.9738478644391786,
        2.9738601486528795,
        2.973872432866581,
        2.973884717080283,
        2.973897001293984,
        2.9739092855076854,
        2.9739215697213868,
        2.973933853935088,
        2.9739461381487895,
        2.9739584223624913,
        2.9739707065761927,
        2.973982990789894,
        2.9739952750035954,
        2.9740075592172963,
        2.9740198434309986,
        2.9740321276447,
        2.974044411858401,
        2.974056696072102,
        2.9740689802858036,
        2.974068980285804,
        2.974081264499505,
        2.9740935487132067,
        2.974105832926908,
        2.9741181171406095,
        2.974130401354311,
        2.974142685568012,
        2.9741549697817136,
        2.9741672539954154,
        2.9741795382091167,
        2.9741918224228177,
        2.9742041066365195,
        2.974216390850221,
        2.9742286750639226,
        2.9742409592776236,
        2.9742655277050267,
        2.974394511948891,
        2.974511211979055,
        2.9745234961927562,
        2.9745357804064576,
        2.974548064620159,
        2.974560348833861,
        2.9745726330475617,
        2.9745849172612635,
        2.974597201474965,
        2.974609485688666,
        2.974621769902368,
        2.9746340541160694,
        2.9746463383297703,
        2.9746586225434717,
        2.9746709067571735,
        2.9746831909708744,
        2.974695475184576,
        2.9747077593982776,
        2.9752114121600353,
        2.9752236963737375,
        2.97542024379296,
        2.975432528006661,
        2.9754448122203625,
        2.9754570964340643,
        2.9754693806477652,
        2.9754816648614666,
        2.9754939490751684,
        2.9755062332888698,
        2.975518517502571,
        2.9755308017162725,
        2.9755430859299734,
        2.9755553701436757,
        2.975567654357377,
        2.975579938571078,
        2.9755922227847793,
        2.975604506998481,
        2.9756167912121825,
        2.975629075425884,
        2.9756413596395856,
        2.975653643853287,
        2.975665928066988,
        2.9756782122806893,
        2.9756904964943915,
        2.9757027807080925,
        2.975715064921794,
        2.975727349135495,
        2.9757396333491966,
        2.9757519175628984,
        2.9757642017765997,
        2.9757764859903006,
        2.9757887702040025,
        2.975801054417704,
        2.9758133386314047,
        2.9758256228451065,
        2.9758379070588084,
        2.9758501912725093,
        2.9758624754862106,
        2.9758747596999124,
        2.975887043913614,
        2.9758870439136142,
        2.975899328127315,
        2.9759116123410165,
        2.975923896554718,
        2.9759361807684193,
        2.9759484649821206,
        2.975960749195822,
        2.975973033409524,
        2.975985317623225,
        2.975997601836926,
        2.9760098860506274,
        2.9760221702643297,
        2.9760344544780306,
        2.976046738691732,
        2.976059022905434,
        2.9760713071191347,
        2.976083591332836,
        2.976095875546538,
        2.9761081597602392,
        2.976243286110955,
        2.976353844034268,
        2.976366128247969,
        2.97637841246167,
        2.976390696675372,
        2.9764029808890733,
        2.976415265102774,
        2.976427549316476,
        2.976439833530178,
        2.9764521177438787,
        2.97646440195758,
        2.976476686171282,
        2.9764889703849833,
        2.9765012545986846,
        2.976513538812386,
        2.9765258230260874,
        2.9765381072397887,
        2.97655039145349,
        2.9765626756671915,
        2.9765749598808933,
        2.9765872440945946,
        2.9765995283082956,
        2.976611812521997,
        2.976624096735699,
        2.9766363809494,
        2.9766486651631014,
        2.976660949376803,
        2.976673233590504,
        2.9766855178042055,
        2.9769557705056373,
        2.9769680547193382,
        2.9769803389330396,
        2.9769926231467414,
        2.9770049073604423,
        2.9770171915741437,
        2.9770294757878455,
        2.9770417600015473,
        2.977054044215248,
        2.9770663284289496,
        2.977078612642651,
        2.9770908968563528,
        2.977103181070054,
        2.9771154652837555,
        2.977127749497457,
        2.977140033711158,
        2.97715231792486,
        2.977164602138561,
        2.9771768863522627,
        2.977189170565964,
        2.977201454779665,
        2.9772137389933664,
        2.9772260232070686,
        2.9772383074207696,
        2.977250591634471,
        2.9772628758481723,
        2.9772751600618736,
        2.9772874442755755,
        2.977299728489277,
        2.977312012702978,
        2.9773242969166795,
        2.977336581130381,
        2.977348865344082,
        2.977361149557784,
        2.9773734337714854,
        2.9773857179851864,
        2.9773980021988877,
        2.9774102864125895,
        2.977422570626291,
        2.9774348548399923,
        2.9774471390536936,
        2.977459423267395,
        2.9774717074810964,
        2.9774839916947977,
        2.977496275908499,
        2.977508560122201,
        2.9775208443359023,
        2.977533128549603,
        2.977545412763305,
        2.977557696977007,
        2.9775699811907077,
        2.977582265404409,
        2.977594549618111,
        2.977606833831812,
        2.977619118045513,
        2.977631402259215,
        2.9776436864729163,
        2.9776559706866177,
        2.977668254900319,
        2.9776805391140204,
        2.9776928233277222,
        2.9777051075414236,
        2.977717391755125,
        2.9777296759688263,
        2.9777419601825277,
        2.9777542443962295,
        2.9777665286099304,
        2.977778812823632,
        2.9777910970373336,
        2.9778033812510345,
        2.977815665464736,
        2.977827949678438,
        2.977840233892139,
        2.9778525181058404,
        2.9778648023195418,
        2.977877086533243,
        2.977889370746945,
        2.9779016549606463,
        2.977913939174347,
        2.977926223388049,
        2.9779385076017504,
        2.9779507918154513,
        2.9779630760291536,
        2.977975360242855,
        2.977987644456556,
        2.977999928670257,
        2.978012212883959,
        2.9780244970976604,
        2.9780367813113617,
        2.978049065525063,
        2.9780613497387645,
        2.978073633952466,
        2.978085918166167,
        2.9780982023798686,
        2.9781104865935704,
        2.9781227708072717,
        2.9781350550209726,
        2.9781473392346745,
        2.9781596234483763,
        2.978171907662077,
        2.9781841918757785,
        2.9781964760894803,
        2.9782087603031813,
        2.978221044516883,
        2.9782333287305844,
        2.978245612944286,
        2.978257897157987,
        2.9782701813716885,
        2.9782824655853894,
        2.9782947497990917,
        2.978307034012793,
        2.978319318226494,
        2.9783316024401953,
        2.978343886653897,
        2.9783561708675985,
        2.9783684550813,
        2.9783807392950017,
        2.9783930235087026,
        2.978405307722404,
        2.9784175919361053,
        2.978429876149807,
        2.9784421603635085,
        2.97845444457721,
        2.9784667287909112,
        2.9784790130046126,
        2.9784912972183144,
        2.9785035814320158,
        2.9785158656457167,
        2.9785281498594185,
        2.97854043407312,
        2.9785527182868208,
        2.9785650025005226,
        2.9785772867142244,
        2.9785895709279253,
        2.9786018551416267,
        2.9786141393553285,
        2.97862642356903,
        2.978638707782731,
        2.978644849889582,
        2.9786509919964326,
        2.978663276210134,
        2.9786755604238353,
        2.978687844637537,
        2.978700128851238,
        2.97871241306494,
        2.978724697278641,
        2.978736981492342,
        2.9787492657060435,
        2.9787615499197457,
        2.9787738341334467,
        2.978786118347148,
        2.97879840256085,
        2.9788106867745507,
        2.979216065826698,
        2.9792283500403993,
        2.9792406342541007,
        2.979252918467802,
        2.9792652026815034,
        2.9792774868952048,
        2.9792897711089066,
        2.9793020553226075,
        2.9793143395363093,
        2.9793266237500107,
        2.9793389079637116,
        2.979351192177413,
        2.979363476391115,
        2.979375760604816,
        2.9793880448185175,
        2.979400329032219,
        2.97941261324592,
        2.979424897459622,
        2.9794371816733234,
        2.9794494658870248,
        2.979461750100726,
        2.9794740343144275,
        2.9794863185281284,
        2.9794986027418306,
        2.979510886955532,
        2.979523171169233,
        2.9795354553829343,
        2.979547739596636,
        2.9795600238103375,
        2.979572308024039,
        2.97958459223774,
        2.9795968764514416,
        2.979609160665143,
        2.9796214448788447,
        2.979633729092546,
        2.9796460133062475,
        2.979658297519949,
        2.9796705817336497,
        2.9796828659473515,
        2.9796951501610534,
        2.9797074343747543,
        2.9797197185884556,
        2.9797320028021574,
        2.9797442870158584,
        2.97975657122956,
        2.9797688554432615,
        2.979781139656963,
        2.9797934238706643,
        2.9798057080843656,
        2.9798179922980665,
        2.9798241344049172,
        2.979830276511769,
        2.97984256072547,
        2.979854844939171,
        2.979867129152873,
        2.9798794133665742,
        2.979891697580276,
        2.979903981793977,
        2.979916266007679,
        2.97992855022138,
        2.979940834435081,
        2.9799531186487824,
        2.9799654028624847,
        2.9799776870761856,
        2.979989971289887,
        2.980419918769436,
        2.9804322029831383,
        2.9804444871968396,
        2.9804567714105406,
        2.9804690556242424,
        2.9804813398379437,
        2.9804936240516455,
        2.9805059082653464,
        2.9805181924790483,
        2.9805304766927496,
        2.9805427609064505,
        2.9805550451201523,
        2.980567329333854,
        2.980579613547555,
        2.980628750402361,
        2.9807024556845696,
        2.980714739898271,
        2.980727024111972,
        2.9807393083256732,
        2.980751592539375,
        2.9807638767530764,
        2.9807761609667778,
        2.980788445180479,
        2.9808007293941805,
        2.980813013607882,
        2.9808252978215837,
        2.9808375820352846,
        2.9808498662489864,
        2.9808621504626878,
        2.9808744346763887,
        2.9808867188900905,
        2.9808990031037923,
        2.980911287317493,
        2.9809235715311946,
        2.9809358557448964,
        2.9809481399585973,
        2.980960424172299,
        2.9809727083860005,
        2.980984992599702,
        2.980997276813403,
        2.9810095610271046,
        2.9810218452408055,
        2.9810341294545077,
        2.981046413668209,
        2.98105869788191,
        2.9810709820956114,
        2.981083266309313,
        2.9810955505230146,
        2.981107834736716,
        2.9811201189504177,
        2.9811324031641186,
        2.98114468737782,
        2.981156971591522,
        2.981169255805223,
        2.9811815400189245,
        2.981193824232626,
        2.981206108446327,
        2.9812183926600286,
        2.9812306768737304,
        2.9812429610874314,
        2.9813166663696404,
        2.9813289505833414,
        2.9813412347970427,
        2.9813535190107445,
        2.981365803224446,
        2.9813780874381473,
        2.9813903716518486,
        2.98140265586555,
        2.9814149400792513,
        2.981427224292953,
        2.981439508506654,
        2.981451792720356,
        2.9814640769340572,
        2.981476361147758,
        2.9814886453614595,
        2.9815009295751618,
        2.9815132137888627,
        2.981525498002564,
        2.981537782216266,
        2.981550066429967,
        2.9815623506436686,
        2.98157463485737,
        2.9815869190710713,
        2.9815992032847727,
        2.981611487498474,
        2.9816237717121754,
        2.9816299138190265,
        2.981636055925877,
        2.9816483401395786,
        2.9816606243532795,
        2.981672908566981,
        2.9816851927806827,
        2.981697476994384,
        2.9817097612080854,
        2.981722045421787,
        2.981734329635488,
        2.9817466138491895,
        2.9817588980628913,
        2.9817711822765927,
        2.981783466490294,
        2.9817957507039954,
        2.9818080349176963,
        2.981820319131398,
        2.9818326033451,
        2.981844887558801,
        2.981857171772502,
        2.981869455986204,
        2.981881740199905,
        2.9818940244136067,
        2.981906308627308,
        2.9821397086876353,
        2.9821519929013363,
        2.982164277115038,
        2.9821765613287394,
        2.982188845542441,
        2.982201129756142,
        2.9822134139698435,
        2.982225698183545,
        2.9822379823972467,
        2.982250266610948,
        2.982262550824649,
        2.9822748350383503,
        2.982287119252052,
        2.9822994034657535,
        2.982311687679455,
        2.9823239718931562,
        2.9823362561068576,
        2.982348540320559,
        2.9823608245342608,
        2.982373108747962,
        2.9824468140301703,
        2.9824590982438717,
        2.9824713824575735,
        2.9824836666712744,
        2.982495950884976,
        2.9825082350986776,
        2.982520519312379,
        2.9825328035260803,
        2.9825450877397817,
        2.9825573719534835,
        2.982569656167185,
        2.982581940380886,
        2.982594224594587,
        2.982606508808289,
        2.9826187930219903,
        2.9826310772356917,
        2.982643361449393,
        2.982655645663095,
        2.9826679298767957,
        2.982680214090497,
        2.982692498304199,
        2.9827047825179007,
        2.9827170667316016,
        2.982729350945303,
        2.9827416351590044,
        2.9827539193727057,
        2.9827662035864075,
        2.982778487800109,
        2.9827907720138103,
        2.9828030562275116,
        2.982815340441213,
        2.9828276246549144,
        2.982833766761765,
        2.982839908868616,
        2.9828521930823175,
        2.9828644772960184,
        2.98287676150972,
        2.9828890457234216,
        2.982901329937123,
        2.9829136141508243,
        2.9829258983645257,
        2.982938182578227,
        2.9829504667919284,
        2.9829627510056302,
        2.9829750352193316,
        2.982987319433033,
        2.9829996036467343,
        2.9830118878604353,
        2.9830241720741375,
        2.983036456287839,
        2.98304874050154,
        2.983061024715241,
        2.983073308928943,
        2.983085593142644,
        2.9830978773563457,
        2.983110161570047,
        2.9831224457837484,
        2.9831347299974498,
        2.983343561630374,
        2.983355845844075,
        2.983368130057777,
        2.9833804142714784,
        2.9833926984851797,
        2.983404982698881,
        2.9834172669125825,
        2.983429551126284,
        2.9834418353399856,
        2.983454119553687,
        2.983466403767388,
        2.9834786879810893,
        2.9834909721947915,
        2.9835032564084925,
        2.983515540622194,
        2.983527824835895,
        2.9835401090495965,
        2.983552393263298,
        2.9835646774769997,
        2.9835769616907006,
        2.9835892459044024,
        2.983601530118104,
        2.9836138143318047,
        2.983626098545507,
        2.9836383827592083,
        2.9836506669729093,
        2.9836629511866106,
        2.9836752354003124,
        2.9836875196140134,
        2.983699803827715,
        2.9837120880414165,
        2.983724372255118,
        2.9837366564688192,
        2.9837489406825206,
        2.983761224896222,
        2.983773509109924,
        2.983785793323625,
        2.983798077537326,
        2.983810361751028,
        2.9838226459647292,
        2.9838349301784306,
        2.983847214392132,
        2.9838594986058338,
        2.9838717828195347,
        2.983884067033236,
        2.983896351246938,
        2.9839086354606392,
        2.9839209196743406,
        2.983933203888042,
        2.983945488101743,
        2.983957772315445,
        2.9839700565291465,
        2.9839823407428474,
        2.9839946249565488,
        2.9840069091702506,
        2.9840191933839515,
        2.9840314775976533,
        2.984043761811355,
        2.9840560460250565,
        2.9840683302387574,
        2.9840806144524588,
        2.9842280250168765,
        2.984240309230578,
        2.9842525934442787,
        2.98426487765798,
        2.984277161871682,
        2.984289446085383,
        2.9843017302990846,
        2.984314014512786,
        2.9843262987264874,
        2.9843385829401887,
        2.98435086715389,
        2.9843631513675914,
        2.9843754355812933,
        2.9843877197949946,
        2.9844000040086955,
        2.984412288222397,
        2.984424572436099,
        2.9844368566498,
        2.9844491408635014,
        2.9844614250772032,
        2.984473709290904,
        2.9844859935046055,
        2.9844982777183073,
        2.9845105619320087,
        2.98452284614571,
        2.9845351303594114,
        2.9845474145731123,
        2.9845596987868146,
        2.984571983000516,
        2.984584267214217,
        2.9845965514279182,
        2.98460883564162,
        2.984621119855321,
        2.9846334040690228,
        2.9846456882827246,
        2.9846579724964255,
        2.984670256710127,
        2.9846825409238282,
        2.98469482513753,
        2.9847071093512314,
        2.9847193935649328,
        2.9847316777786337,
        2.9847439619923355,
        2.984756246206037,
        2.9847685304197387,
        2.9847808146334396,
        2.9847930988471414,
        2.9848053830608428,
        2.9848176672745437,
        2.9848299514882455,
        2.9848422357019473,
        2.984854519915648,
        2.9848668041293496,
        2.9848790883430514,
        2.9848913725567523,
        2.984903656770454,
        2.9849159409841555,
        2.984928225197857,
        2.984940509411558,
        2.9849527936252596,
        2.984965077838961,
        2.9849773620526627,
        2.984989646266364,
        2.985001930480065,
        2.9850142146937664,
        2.9850264989074686,
        2.9850387831211695,
        2.985051067334871,
        2.9850633515485727,
        2.9850756357622736,
        2.985087919975975,
        2.985100204189677,
        2.9851923357924375,
        2.9852107621129895,
        2.9852230463266904,
        2.9852353305403923,
        2.9852476147540936,
        2.985259898967795,
        2.9852721831814963,
        2.9852844673951977,
        2.9852967516088995,
        2.985309035822601,
        2.9853213200363022,
        2.985333604250003,
        2.985345888463705,
        2.9853581726774068,
        2.9853704568911077,
        2.985382741104809,
        2.985395025318511,
        2.985407309532212,
        2.985419593745913,
        2.985431877959615,
        2.9854441621733163,
        2.9854564463870177,
        2.985468730600719,
        2.985481014814421,
        2.985493299028122,
        2.9855055832418236,
        2.9859109622939703,
        2.9859232465076717,
        2.9859355307213726,
        2.9859478149350744,
        2.9859600991487762,
        2.985972383362477,
        2.9859846675761785,
        2.9859969517898803,
        2.9860092360035813,
        2.9860215202172826,
        2.9860338044309844,
        2.986046088644686,
        2.986058372858387,
        2.9860706570720885,
        2.9860829412857894,
        2.9860952254994917,
        2.986107509713193,
        2.9861197939268944,
        2.986132078140596,
        2.986144362354297,
        2.9861566465679985,
        2.9861689307817,
        2.9861812149954017,
        2.986193499209103,
        2.986205783422804,
        2.9862180676365053,
        2.9862303518502076,
        2.9862426360639085,
        2.98625492027761,
        2.9862672044913112,
        2.9862794887050126,
        2.986291772918714,
        2.9863040571324158,
        2.986316341346117,
        2.9863286255598185,
        2.98634090977352,
        2.9863531939872208,
        2.986365478200923,
        2.9863777624146244,
        2.9863900466283253,
        2.9864023308420267,
        2.9864146150557285,
        2.98642689926943,
        2.986439183483131,
        2.9864514676968326,
        2.986463751910534,
        2.9864760361242353,
        2.9864883203379367,
        2.986500604551638,
        2.98651288876534,
        2.986525172979041,
        2.986537457192742,
        2.986549741406444,
        2.9865620256201457,
        2.9865743098338466,
        2.986586594047548,
        2.98659887826125,
        2.9866111624749507,
        2.986623446688652,
        2.986635730902354,
        2.9866480151160553,
        2.9866602993297566,
        2.986672583543458,
        2.986684867757159,
        2.986697151970861,
        2.9867094361845625,
        2.9867217203982634,
        2.9867340046119653,
        2.9867462888256666,
        2.9867585730393675,
        2.9867708572530693,
        2.986783141466771,
        2.986795425680472,
        2.9868077098941734,
        2.986819994107875,
        2.9868322783215766,
        2.986844562535278,
        2.9868568467489793,
        2.9868691309626803,
        2.986881415176382,
        2.986893699390084,
        2.9869059836037852,
        2.986918267817486,
        2.986930552031188,
        2.9869428362448893,
        2.9869551204585902,
        2.9869674046722925,
        2.986979688885994,
        2.9869919730996948,
        2.987004257313396,
        2.987016541527098,
        2.9870288257407993,
        2.9870411099545007,
        2.987053394168202,
        2.9870656783819034,
        2.9870779625956048,
        2.987090246809306,
        2.9871025310230075,
        2.9871148152367093,
        2.9871270994504107,
        2.9871393836641116,
        2.9871516678778134,
        2.987163952091515,
        2.987176236305216,
        2.9871885205189175,
        2.9872008047326193,
        2.98721308894632,
        2.9872253731600216,
        2.9872376573737234,
        2.9872499415874247,
        2.987262225801126,
        2.9872745100148275,
        2.9872867942285284,
        2.9872990784422306,
        2.987311362655932,
        2.987323646869633,
        2.9873359310833343,
        2.987348215297036,
        2.9873604995107375,
        2.987372783724439,
        2.9873850679381406,
        2.9873973521518415,
        2.987409636365543,
        2.9874219205792443,
        2.987434204792946,
        2.9874464890066474,
        2.987458773220349,
        2.9874710574340497,
        2.9874833416477515,
        2.9874956258614533,
        2.9875079100751543,
        2.9875201942888556,
        2.9875324785025574,
        2.987544762716259,
        2.9875570469299597,
        2.987569331143662,
        2.9875816153573633,
        2.9875938995710642,
        2.9876061837847656,
        2.9876184679984674,
        2.987630752212169,
        2.9876307522121692,
        2.98764303642587,
        2.9876553206395715,
        2.987667604853273,
        2.9876798890669742,
        2.9876921732806756,
        2.987704457494377,
        2.9877167417080788,
        2.98772902592178,
        2.987741310135481,
        2.9877535943491824,
        2.9877658785628847,
        2.9877781627765856,
        2.987790446990287,
        2.9878027312039888,
        2.9878150154176897,
        2.9878272996313915,
        2.987839583845093,
        2.987851868058794,
        2.9878641522724956,
        2.987876436486197,
        2.987888720699898,
        2.9879010049136,
        2.9879132891273015,
        2.9879255733410024,
        2.9881958260424337,
        2.988208110256135,
        2.9882203944698364,
        2.9882326786835383,
        2.9882449628972396,
        2.9882572471109405,
        2.9882695313246423,
        2.9882818155383437,
        2.9882940997520446,
        2.9883063839657464,
        2.9883186681794482,
        2.9883309523931496,
        2.9883432366068505,
        2.988355520820552,
        2.988367805034254,
        2.988380089247955,
        2.9883923734616564,
        2.9884046576753582,
        2.988416941889059,
        2.988429226102761,
        2.9884415103164623,
        2.988447652423313,
        2.9884537945301637,
        2.988466078743865,
        2.9884783629575664,
        2.9884906471712673,
        2.9885029313849696,
        2.988515215598671,
        2.988527499812372,
        2.9885397840260732,
        2.988552068239775,
        2.9885643524534764,
        2.9885766366671778,
        2.988588920880879,
        2.9886012050945805,
        2.988613489308282,
        2.988625773521983,
        2.988638057735685,
        2.9886503419493864,
        2.9886626261630878,
        2.9886749103767887,
        2.9886871945904905,
        2.9886994788041923,
        2.988711763017893,
        2.9887240472315946,
        2.9887363314452964,
        2.9887486156589973,
        2.988760899872699,
        2.9890188683604286,
        2.9890311525741304,
        2.989043436787832,
        2.989055721001533,
        2.9890680052152345,
        2.989080289428936,
        2.989092573642637,
        2.989104857856339,
        2.9891171420700404,
        2.9891294262837413,
        2.9891417104974427,
        2.9891539947111445,
        2.989166278924846,
        2.9891785631385472,
        2.9891908473522486,
        2.98920313156595,
        2.9892154157796513,
        2.989227699993353,
        2.9892399842070545,
        2.989252268420756,
        2.9892645526344572,
        2.989276836848158,
        2.98928912106186,
        2.9893014052755618,
        2.9893136894892627,
        2.989325973702964,
        2.989338257916666,
        2.9893505421303668,
        2.9893628263440686,
        2.98937511055777,
        2.9893873947714713,
        2.9893996789851727,
        2.989411963198874,
        2.989424247412575,
        2.989436531626277,
        2.9894488158399786,
        2.9894611000536795,
        2.9894733842673813,
        2.9894856684810827,
        2.989497952694784,
        2.9895102369084854,
        2.989522521122187,
        2.989534805335888,
        2.9895470895495895,
        2.989559373763291,
        2.9895716579769926,
        2.989583942190694,
        2.9895962264043954,
        2.9896085106180963,
        2.989620794831798,
        2.9896330790455,
        2.989645363259201,
        2.9896576474729026,
        2.989669931686604,
        2.989682215900305,
        2.9896945001140063,
        2.9897067843277085,
        2.9897190685414095,
        2.989731352755111,
        2.989743636968812,
        2.989755921182514,
        2.9897682053962154,
        2.9897804896099167,
        2.989792773823618,
        2.9898050580373194,
        2.989817342251021,
        2.9898296264647226,
        2.9898419106784235,
        2.9898541948921253,
        2.9898664791058267,
        2.9898787633195276,
        2.9898910475332294,
        2.9899033317469312,
        2.989915615960632,
        2.9899279001743335,
        2.9899401843880353,
        2.9899524686017362,
        2.989964752815438,
        2.9899770370291394,
        2.989989321242841
    ],
    "flux": [
        1.02025,
        1.02098,
        1.03153,
        1.02547,
        1.02424,
        1.0271,
        1.03021,
        1.02287,
        1.02708,
        1.03708,
        1.05302,
        1.07543,
        1.07741,
        1.07949,
        1.08273,
        1.08378,
        1.07346,
        1.06655,
        1.05468,
        1.04378,
        1.0378,
        1.03484,
        1.02818,
        1.03298,
        1.03872,
        1.03127,
        1.0303,
        1.02548,
        1.02833,
        1.03545,
        1.03154,
        1.02812,
        1.0314,
        1.03634,
        1.03996,
        1.04276,
        1.03609,
        1.03492,
        1.03909,
        1.04463,
        1.03536,
        1.02946,
        1.03332,
        1.03847,
        1.03024,
        1.03312,
        1.03451,
        1.03609,
        1.03749,
        1.03527,
        1.0335,
        1.03257,
        1.03271,
        1.0349,
        1.04392,
        1.03974,
        1.03501,
        1.03411,
        1.03927,
        1.04683,
        1.03913,
        1.03388,
        1.03388,
        1.03034,
        1.02768,
        1.02855,
        1.03167,
        1.0349,
        1.03347,
        1.03131,
        1.03167,
        1.03388,
        1.03629,
        1.0352,
        1.03427,
        1.05043,
        1.07363,
        1.07928,
        1.08193,
        1.08199,
        1.08233,
        1.07891,
        1.06421,
        1.05872,
        1.05314,
        1.0544,
        1.06004,
        1.06018,
        1.06066,
        1.07532,
        1.08699,
        1.08909,
        1.09708,
        1.08667,
        1.08181,
        1.07342,
        1.05444,
        1.05184,
        1.04569,
        1.04333,
        1.04204,
        1.03631,
        1.04618,
        1.04634,
        1.06469,
        1.05292,
        1.04545,
        1.04212,
        1.04069,
        1.03776,
        1.03672,
        1.04422,
        1.05033,
        1.07057,
        1.05604,
        1.04594,
        1.0477,
        1.03431,
        1.02711,
        1.0261,
        1.025,
        1.00581,
        0.995503,
        1.00438,
        1.02159,
        1.02169,
        1.01683,
        1.02506,
        1.03356,
        1.03671,
        1.03815,
        1.04261,
        1.0457,
        1.05,
        1.05641,
        1.05745,
        1.06079,
        1.06009,
        1.05433,
        1.04476,
        1.04325,
        1.03924,
        1.03497,
        1.03302,
        1.03672,
        1.03871,
        1.03958,
        1.03925,
        1.03902,
        1.04308,
        1.03802,
        1.04052,
        1.04582,
        1.04839,
        1.04562,
        1.04776,
        1.05349,
        1.06403,
        1.07998,
        1.0893,
        1.0952,
        1.10229,
        1.1066,
        1.09854,
        1.07137,
        1.06369,
        1.0601,
        1.05386,
        1.05013,
        1.04874,
        1.05176,
        1.05281,
        1.04852,
        1.04776,
        1.05016,
        1.05213,
        1.05285,
        1.05201,
        1.04771,
        1.04347,
        1.03972,
        1.03751,
        1.03829,
        1.04317,
        1.03696,
        1.03395,
        1.03757,
        1.03813,
        1.04209,
        1.03784,
        1.03546,
        1.04026,
        1.04055,
        1.03654,
        1.02718,
        1.0197,
        1.02024,
        1.0141,
        0.991408,
        0.96147,
        0.956337,
        1.01379,
        0.988854,
        0.96121,
        0.962282,
        0.988134,
        0.999238,
        0.987594,
        0.981741,
        0.97087,
        1.0073,
        0.999492,
        1.00367,
        1.00549,
        1.00466,
        1.00569,
        1.01262,
        1.00725,
        null,
        1.04598,
        1.04461,
        1.04026,
        1.04848,
        1.05366,
        1.0566,
        1.06497,
        1.06751,
        1.07479,
        1.07719,
        1.06985,
        1.05181,
        1.04704,
        1.04285,
        1.03685,
        1.02889,
        1.0227,
        1.01989,
        1.014,
        1.00971,
        1.00935,
        0.997468,
        1.00483,
        1.01067,
        1.01427,
        1.01968,
        1.01631,
        1.01954,
        1.02098,
        1.01889,
        1.01519,
        1.01561,
        1.01518,
        1.01409,
        1.01093,
        1.00187,
        0.998113,
        0.99794,
        0.993754,
        0.9813,
        0.963049,
        1.0155,
        1.02344,
        1.02647,
        1.03656,
        1.04747,
        1.04771,
        1.03867,
        1.03445,
        1.03128,
        1.02943,
        1.0317,
        1.02854,
        1.0318,
        1.03306,
        1.02911,
        1.02265,
        1.02778,
        1.02878,
        1.02929,
        1.03184,
        1.03312,
        1.03611,
        1.03433,
        1.03369,
        1.03891,
        1.03844,
        1.04028,
        1.04146,
        1.04201,
        1.04251,
        1.03868,
        1.03793,
        1.03858,
        1.0403,
        1.04335,
        1.04047,
        1.04071,
        1.04007,
        1.03849,
        1.04099,
        1.04316,
        1.03882,
        1.03578,
        1.03846,
        1.04268,
        1.04271,
        1.04691,
        1.04968,
        1.04736,
        1.05321,
        1.06031,
        1.06749,
        1.07025,
        1.06358,
        1.04561,
        1.04144,
        1.03773,
        1.03342,
        1.03293,
        1.02478,
        1.01632,
        1.01168,
        1.00985,
        1.00466,
        0.997325,
        0.989088,
        0.991602,
        0.986148,
        0.981754,
        0.97773,
        0.983026,
        0.990307,
        0.989501,
        0.971012,
        1.01242,
        1.02011,
        1.01297,
        1.01372,
        1.01667,
        1.01814,
        1.01531,
        1.01858,
        1.01808,
        1.0191,
        1.02102,
        1.01658,
        1.01203,
        1.0072,
        1.006,
        1.00839,
        1.00601,
        1.00373,
        1.00131,
        1.00161,
        1.00608,
        1.01114,
        1.01908,
        1.01801,
        1.01409,
        1.01532,
        1.01662,
        1.01947,
        1.02125,
        1.02285,
        1.02595,
        1.02481,
        1.02438,
        1.02394,
        1.02196,
        1.0163,
        1.0174,
        1.01703,
        1.01863,
        1.02246,
        1.0254,
        1.02488,
        1.02576,
        1.02781,
        1.0287,
        1.02138,
        1.02352,
        1.02483,
        1.02534,
        1.02675,
        1.03373,
        1.03239,
        1.03515,
        1.03868,
        1.03898,
        1.04433,
        1.05101,
        1.05498,
        1.0562,
        1.05549,
        1.04643,
        1.04378,
        1.04225,
        1.03973,
        1.03567,
        1.03193,
        1.0282,
        1.02739,
        1.02847,
        1.02672,
        1.02821,
        1.02642,
        1.02501,
        1.02511,
        1.02397,
        1.0252,
        1.02946,
        1.03286,
        1.03532,
        1.04672,
        1.03931,
        1.03068,
        1.02497,
        1.02381,
        1.0263,
        1.02291,
        1.02132,
        1.02206,
        1.02383,
        1.02389,
        1.02812,
        1.02686,
        1.02487,
        1.0307,
        1.03105,
        1.03153,
        1.02948,
        1.02794,
        1.0328,
        1.02965,
        1.0259,
        1.02399,
        1.02519,
        1.02985,
        1.02604,
        1.02895,
        1.02795,
        1.02302,
        1.02973,
        1.02589,
        1.0264,
        1.02499,
        1.02032,
        1.0241,
        1.02733,
        1.02671,
        1.0256,
        1.02676,
        1.02891,
        1.02581,
        1.02427,
        1.02498,
        1.02695,
        1.02599,
        1.02654,
        1.02697,
        1.02552,
        1.02143,
        1.02304,
        1.022,
        1.02394,
        1.02786,
        1.0298,
        1.02927,
        1.02726,
        1.02644,
        1.0283,
        1.03353,
        1.02886,
        1.02536,
        1.02716,
        1.03288,
        1.03563,
        1.0414,
        1.04589,
        1.0473,
        1.04541,
        1.04226,
        1.04066,
        1.03858,
        1.03569,
        1.03015,
        1.01538,
        1.01746,
        1.02749,
        1.03493,
        1.03326,
        1.03116,
        1.02571,
        1.02584,
        1.02753,
        1.02594,
        1.02457,
        1.02224,
        1.02134,
        1.02144,
        1.02111,
        1.01744,
        1.02218,
        1.02322,
        1.02313,
        1.02945,
        1.03798,
        1.03925,
        1.03786,
        1.03563,
        1.03323,
        1.03138,
        1.02798,
        1.02524,
        1.02434,
        1.02572,
        1.02402,
        1.02459,
        1.02508,
        1.02232,
        1.01138,
        1.02896,
        1.0271,
        1.02178,
        1.023,
        1.03012,
        1.02774,
        1.02804,
        1.02903,
        1.02801,
        1.02186,
        1.02201,
        1.02157,
        1.02015,
        1.01913,
        1.02354,
        1.02225,
        1.02357,
        1.02455,
        1.02311,
        1.02937,
        1.02948,
        1.02532,
        1.0205,
        1.01775,
        1.00912,
        1.01419,
        1.01591,
        1.01473,
        1.0156,
        1.01394,
        1.01396,
        1.01326,
        1.01185,
        1.0103,
        1.00067,
        0.997837,
        0.995692,
        0.992863,
        0.990915,
        null,
        1.00906,
        1.00856,
        1.01503,
        1.01639,
        1.01721,
        1.02028,
        1.0172,
        1.01744,
        1.01526,
        1.01562,
        1.02167,
        1.02074,
        1.0213,
        1.0203,
        1.02039,
        1.02339,
        1.02071,
        1.02192,
        1.02132,
        1.0174,
        1.01094,
        1.01013,
        1.01411,
        1.01703,
        1.01747,
        1.01586,
        1.01622,
        1.01525,
        1.01469,
        1.01576,
        1.01915,
        1.02145,
        1.02149,
        1.01935,
        1.01806,
        1.02181,
        1.02336,
        1.02176,
        1.01985,
        1.0188,
        1.0186,
        1.01389,
        1.01541,
        1.02026,
        1.02511,
        1.02617,
        1.02246,
        1.02183,
        1.02035,
        1.01731,
        1.01528,
        1.01869,
        1.02174,
        1.0219,
        1.02033,
        1.02314,
        1.02535,
        1.02717,
        1.02607,
        1.02292,
        1.02389,
        1.02451,
        1.02536,
        1.02688,
        1.02739,
        1.02045,
        1.02104,
        1.02091,
        1.02124,
        1.02258,
        1.0222,
        1.02236,
        1.02692,
        1.02913,
        1.02679,
        1.03199,
        1.03458,
        1.03155,
        1.02559,
        1.01985,
        1.01721,
        1.01566,
        1.01268,
        1.01065,
        1.01054,
        1.00362,
        0.998259,
        1.00076,
        null,
        1.01246,
        1.0134,
        1.01619,
        1.01806,
        1.01422,
        1.01471,
        1.02018,
        1.02067,
        1.01903,
        1.02594,
        1.02187,
        1.02075,
        1.02033,
        1.01927,
        1.01711,
        1.02522,
        1.02827,
        1.0301,
        1.03394,
        1.04245,
        1.03759,
        1.031,
        1.02675,
        1.02698,
        1.03216,
        1.02664,
        1.02595,
        1.02737,
        1.02817,
        1.02553,
        1.02502,
        1.02383,
        1.02211,
        1.02259,
        1.03107,
        1.03335,
        1.03177,
        1.02674,
        1.02158,
        1.02252,
        1.02331,
        1.02041,
        1.01757,
        1.01703,
        1.01948,
        1.01953,
        1.0154,
        1.01632,
        1.02196,
        1.02001,
        1.01628,
        1.01573,
        1.01727,
        1.01752,
        1.00975,
        1.01282,
        1.01149,
        1.00941,
        1.00953,
        1.01336,
        1.01255,
        1.01174,
        1.01269,
        1.0149,
        1.01495,
        1.01542,
        1.0119,
        1.01073,
        1.01352,
        1.01454,
        1.01321,
        1.01254,
        1.01392,
        1.01653,
        1.01664,
        1.01383,
        1.01309,
        1.01203,
        1.01097,
        1.01454,
        1.01668,
        1.01643,
        1.01666,
        1.0164,
        1.00961,
        1.01153,
        1.01086,
        1.01194,
        1.01611,
        1.02022,
        1.01864,
        1.02059,
        1.0239,
        1.02621,
        1.02553,
        1.02287,
        1.02162,
        1.01881,
        1.01542,
        1.01806,
        1.02111,
        1.02554,
        1.0289,
        1.0294,
        1.02595,
        1.02292,
        1.02109,
        1.02061,
        1.02043,
        1.01792,
        1.02089,
        1.02119,
        1.01967,
        1.01866,
        1.0219,
        1.02539,
        1.02017,
        1.01884,
        1.02311,
        1.02093,
        1.02338,
        1.0255,
        1.02893,
        1.03191,
        1.02879,
        1.02983,
        1.02685,
        1.02613,
        1.02742,
        1.02398,
        1.0248,
        1.02237,
        1.02043,
        1.01899,
        1.01432,
        1.01705,
        1.01698,
        1.01699,
        1.01742,
        1.01625,
        1.0188,
        1.02007,
        1.01963,
        1.01571,
        1.00575,
        1.01395,
        1.01786,
        1.01701,
        1.01588,
        1.02209,
        1.0193,
        1.01912,
        1.01763,
        1.01639,
        1.0205,
        1.01374,
        1.01454,
        1.01846,
        1.02017,
        1.01403,
        1.01222,
        1.01068,
        1.01248,
        1.01561,
        1.01486,
        1.00719,
        1.01016,
        1.01182,
        1.00885,
        1.00301,
        1.00841,
        1.00317,
        1.00326,
        1.00698,
        1.00463,
        0.992421,
        0.989257,
        0.989841,
        null,
        0.998939,
        0.995793,
        0.998171,
        1.00322,
        1.00764,
        1.01073,
        1.02064,
        1.01564,
        1.01662,
        1.02127,
        1.02438,
        1.02068,
        1.0164,
        1.01477,
        1.0166,
        1.01926,
        1.01248,
        1.0091,
        1.01539,
        1.02247,
        1.02468,
        1.02503,
        1.02109,
        1.02211,
        1.0226,
        1.02047,
        1.02089,
        1.01906,
        1.02052,
        1.02101,
        1.01879,
        1.01586,
        1.01632,
        1.02028,
        1.02168,
        1.02019,
        1.02191,
        1.0196,
        1.0244,
        1.02869,
        1.03082,
        1.03449,
        1.03631,
        1.03076,
        1.02493,
        1.02187,
        1.02131,
        1.02671,
        1.02477,
        1.02067,
        1.01798,
        1.01865,
        1.01252,
        1.00867,
        1.0056,
        1.00383,
        1.00421,
        1.00075,
        0.997041,
        0.999241,
        1.00148,
        0.99504,
        0.989808,
        0.996108,
        1.00897,
        1.01886,
        1.01754,
        1.01469,
        1.01761,
        1.02003,
        1.02139,
        1.02271,
        1.02568,
        1.02388,
        1.02215,
        1.02179,
        1.02287,
        1.02354,
        1.02442,
        1.02564,
        1.02563,
        1.02374,
        1.02212,
        1.02189,
        1.02329,
        1.02389,
        1.02269,
        1.0224,
        1.02455,
        1.0261,
        1.02839,
        1.03033,
        1.02613,
        1.02066,
        1.01571,
        1.01308,
        1.01298,
        1.01369,
        1.01397,
        1.01284,
        1.011,
        1.00939,
        1.00919,
        1.0141,
        1.01145,
        1.01191,
        1.01664,
        1.01931,
        1.01308,
        1.01411,
        1.01752,
        1.02019,
        1.02043,
        1.02178,
        1.02191,
        1.02133,
        1.02107,
        1.02213,
        1.02313,
        1.02285,
        1.02225,
        1.02227,
        1.02344,
        1.02397,
        1.02703,
        1.02789,
        1.02722,
        1.0263,
        1.02288,
        1.02869,
        1.03047,
        1.02649,
        1.01958,
        1.02141,
        1.02525,
        1.02688,
        1.02573,
        1.02311,
        1.02336,
        1.02135,
        1.0224,
        1.02444,
        1.0259,
        1.02678,
        1.02554,
        1.02207,
        1.02008,
        1.02047,
        1.02373,
        1.02578,
        1.02539,
        1.02438,
        1.02311,
        1.02062,
        1.02178,
        1.02453,
        1.02159,
        1.02306,
        1.02424,
        1.02163,
        1.02034,
        1.02025,
        1.02523,
        1.02763,
        1.02422,
        1.01973,
        1.02123,
        1.02032,
        1.02142,
        1.02492,
        1.02815,
        1.02536,
        1.02483,
        1.0263,
        1.02704,
        1.02364,
        1.01936,
        1.02019,
        1.02379,
        1.0235,
        1.02764,
        1.02913,
        1.02593,
        1.02092,
        1.01704,
        1.01695,
        1.01461,
        1.01363,
        1.01488,
        1.01771,
        1.02357,
        1.02276,
        1.02356,
        1.02611,
        1.02803,
        1.02977,
        1.03009,
        1.02942,
        1.02729,
        1.02267,
        1.02276,
        1.02386,
        1.02108,
        1.01836,
        1.02228,
        1.0147,
        1.01853,
        1.01863,
        1.01692,
        1.0205,
        1.02267,
        1.02286,
        1.02172,
        1.02034,
        1.02301,
        1.02375,
        1.02298,
        1.01914,
        1.01658,
        1.01773,
        1.02413,
        1.03919,
        1.03702,
        1.01836,
        1.01524,
        1.02109,
        1.0217,
        1.02067,
        1.0186,
        1.02068,
        1.01757,
        1.01417,
        1.01359,
        1.01299,
        1.01334,
        1.01589,
        1.01234,
        1.01417,
        1.01554,
        1.01548,
        1.01413,
        1.01226,
        1.01372,
        1.01306,
        1.0144,
        1.01623,
        0.986954,
        1.00356,
        1.00388,
        1.01499,
        1.00658,
        1.00576,
        1.00839,
        1.01015,
        1.0129,
        1.01653,
        1.01774,
        1.01631,
        1.01286,
        1.01622,
        1.01634,
        1.01864,
        1.01848,
        1.02016,
        1.01928,
        1.02159,
        1.02297,
        1.02448,
        1.02163,
        1.01839,
        1.01835,
        1.01926,
        1.01933,
        1.01727,
        1.02107,
        1.02029,
        1.02036,
        1.02177,
        1.02657,
        1.02091,
        1.02528,
        1.0296,
        1.03081,
        1.02714,
        1.02256,
        1.02357,
        1.01795,
        1.01255,
        1.01472,
        1.01517,
        1.01744,
        1.01421,
        1.01368,
        1.02354,
        null,
        0.972929,
        0.982088,
        0.990277,
        0.996189,
        1.00143,
        1.00661,
        1.00473,
        1.01017,
        1.01861,
        1.02226,
        1.02561,
        1.02545,
        1.02334,
        1.02135,
        1.02181,
        1.02748,
        1.03559,
        1.03566,
        1.03118,
        1.02857,
        1.02769,
        1.02939,
        1.03091,
        1.02951,
        1.02531,
        1.03608,
        1.03651,
        1.04009,
        1.04517,
        1.04751,
        1.05106,
        1.05077,
        null,
        null,
        1.01866,
        1.02764,
        1.02821,
        1.03429,
        1.00829,
        1.00594,
        1.00307,
        0.998239,
        0.997775,
        1.00237,
        1.009,
        1.00618,
        1.00759,
        0.999143,
        0.994962,
        1.00091,
        0.998543,
        0.99818,
        1.0008,
        1.00455,
        1.00609,
        1.00034,
        1.00129,
        1.0021,
        1.0014,
        1.00212,
        1.0111,
        1.01186,
        1.00571,
        1.00038,
        0.999673,
        1.00369,
        1.00337,
        1.00182,
        1.00022,
        1.00199,
        1.00994,
        1.01055,
        1.00775,
        1.0053,
        1.0025,
        0.999272,
        1.00966,
        1.02024,
        1.01893,
        1.01751,
        1.02682,
        1.03496,
        null,
        1.02234,
        1.01924,
        1.02156,
        1.01811,
        1.01868,
        1.02452,
        1.02242,
        1.01419,
        1.01184,
        1.00935,
        1.00772,
        1.00496,
        1.00341,
        1.00324,
        1.0024,
        1.00259,
        1.00463,
        1.0021,
        1.00608,
        1.00996,
        1.01211,
        1.01063,
        1.00627,
        1.00931,
        1.01076,
        1.00823,
        1.00443,
        1.00976,
        1.00604,
        1.00475,
        1.00413,
        1.0042,
        1.00455,
        1.00518,
        1.00465,
        1.0044,
        1.00484,
        1.00481,
        1.00382,
        1.00449,
        1.0046,
        1.00431,
        1.00265,
        1.00284,
        0.996841,
        0.999217,
        1.00432,
        1.00297,
        1.00313,
        1.00344,
        1.00373,
        1.00623,
        1.00742,
        1.00845,
        1.00398,
        1.00068,
        1.00118,
        1.00426,
        1.00267,
        1.00182,
        1.00755,
        1.01188,
        1.00952,
        1.00614,
        1.00819,
        1.00923,
        1.00696,
        1.00212,
        1.00559,
        1.00351,
        1.00667,
        1.00964,
        1.0121,
        1.01181,
        1.01791,
        1.02385,
        1.02967,
        1.03544,
        1.03887,
        1.03113,
        1.02493,
        1.0188,
        1.0117,
        1.00693,
        1.00589,
        1.00474,
        1.00164,
        1.00092,
        1.00345,
        1.00398,
        1.00213,
        1.00204,
        1.0034,
        1.00337,
        1.00389,
        1.0057,
        1.00632,
        1.00677,
        1.01076,
        1.01344,
        1.01153,
        1.00628,
        1.00435,
        1.00623,
        1.00769,
        1.01257,
        1.01219,
        1.01102,
        1.01246,
        1.01429,
        1.01219,
        1.0129,
        1.01685,
        1.01933,
        1.02018,
        1.01743,
        1.01167,
        1.01093,
        1.01409,
        1.01607,
        1.0151,
        1.01227,
        1.01688,
        1.01472,
        1.01349,
        1.01501,
        1.01096,
        1.01189,
        1.01131,
        1.0062,
        1.00475,
        1.01057,
        1.00669,
        1.00382,
        1.00456,
        1.00577,
        1.00741,
        1.00314,
        1.00156,
        1.0011,
        0.998229,
        0.996152,
        0.997891,
        0.999164,
        0.998729,
        0.997667,
        1.00092,
        1.00043,
        0.981749,
        0.974251,
        0.980734,
        0.995679,
        0.996604,
        0.997666,
        0.999957,
        1.00364,
        1.00686,
        1.00587,
        1.01015,
        1.0119,
        1.01401,
        1.0143,
        1.0147,
        1.01648,
        1.02056,
        1.02078,
        1.01683,
        1.01509,
        1.01115,
        1.00688,
        1.00992,
        1.01033,
        1.01099,
        1.00991,
        1.00686,
        1.00532,
        1.00457,
        1.0025,
        1.00186,
        0.999665,
        0.997003,
        0.99434,
        0.991065,
        0.988298,
        0.992236,
        0.989291,
        0.989274,
        0.988866,
        0.987891,
        0.989568,
        0.990127,
        0.989245,
        0.985649,
        0.98314,
        0.98203,
        0.989623,
        0.996353,
        1.00423,
        1.01351,
        1.01557,
        1.01309,
        1.01152,
        1.01158,
        1.00934,
        1.00655,
        1.00597,
        1.00601,
        1.00895,
        1.00839,
        1.00975,
        1.00884,
        1.00532,
        1.00452,
        1.00388,
        1.00654,
        1.00872,
        1.01103,
        1.01121,
        1.00965,
        1.00885,
        1.01116,
        1.00827,
        1.00583,
        1.00639,
        1.00585,
        1.00744,
        1.00458,
        1.00625,
        1.0073,
        1.00598,
        1.00455,
        1.00339,
        1.00271,
        1.0029,
        1.00509,
        1.00275,
        1.00337,
        1.00245,
        1.00235,
        1.00194,
        1.0013,
        1.00146,
        1.00145,
        1.00376,
        1.00469,
        1.00146,
        1.00383,
        1.00155,
        1.00003,
        1.00067,
        1.00048,
        0.997533,
        0.998365,
        0.999192,
        0.999507,
        0.999127,
        0.997004,
        1.00054,
        1.00186,
        1.00085,
        0.998745,
        0.998295,
        1.00003,
        1.00025,
        0.998635,
        0.99878,
        1.00252,
        1.00399,
        0.999397,
        0.996184,
        0.996492,
        0.998257,
        0.998241,
        0.997047,
        0.998768,
        1.00009,
        1.00048,
        0.999474,
        0.999236,
        0.999132,
        0.995507,
        0.993809,
        0.996001,
        0.994833,
        0.995757,
        0.995212,
        0.992719,
        0.990684,
        0.992175,
        0.993116,
        0.992671,
        0.988591,
        0.98699,
        0.986849,
        0.988403,
        0.98705,
        0.984806,
        0.982703,
        0.975362,
        0.965169,
        0.95485,
        0.960511,
        0.968481,
        0.975102,
        0.976392,
        0.968086,
        0.959183,
        0.96042,
        0.968536,
        0.974418,
        0.973943,
        0.976861,
        0.986165,
        0.991743,
        0.993046,
        0.995228,
        0.993377,
        0.995997,
        1.00022,
        1.00106,
        1.00067,
        1.00394,
        1.00127,
        1.00216,
        1.0005,
        1.00334,
        1.00113,
        1.00279,
        1.00085,
        0.998178,
        0.997093,
        0.99858,
        0.998771,
        0.998227,
        0.99764,
        0.999493,
        1.00087,
        1.00227,
        1.00427,
        1.00484,
        1.00185,
        0.999835,
        0.996138,
        0.987241,
        0.98799,
        0.987498,
        0.986414,
        0.984881,
        0.981615,
        0.978119,
        0.980686,
        0.984105,
        0.985885,
        0.986527,
        null,
        0.99924,
        0.997988,
        1.00067,
        0.9945,
        0.995488,
        0.995268,
        0.993292,
        0.993237,
        0.991051,
        0.993002,
        0.995108,
        0.993472,
        0.990706,
        0.992834,
        0.994258,
        0.996087,
        0.998633,
        0.99835,
        0.994843,
        0.996929,
        0.995989,
        0.992268,
        0.992175,
        0.998318,
        0.999615,
        0.9933,
        1.00371,
        1.00923,
        1.00826,
        1.0109,
        1.01369,
        1.01211,
        1.01107,
        1.00564,
        0.999311,
        1.00104,
        1.00074,
        0.999463,
        0.997322,
        0.995533,
        0.997606,
        0.997843,
        0.999684,
        1.00102,
        1.00189,
        1.00096,
        0.998769,
        0.999397,
        1.00057,
        1.00098,
        1.00047,
        0.999509,
        0.997212,
        0.998164,
        0.997489,
        0.999167,
        0.999142,
        0.999317,
        0.997406,
        0.993095,
        0.994033,
        0.996399,
        0.997067,
        0.993576,
        0.986389,
        0.985905,
        0.987069,
        0.989633,
        0.98969,
        0.990644,
        0.988293,
        0.986266,
        0.982447,
        0.976728,
        0.97756,
        0.980157,
        0.985114,
        0.988373,
        0.991354,
        0.993376,
        0.989066,
        0.988175,
        0.991392,
        0.99452,
        0.996357,
        1.00004,
        1.00366,
        0.999255,
        0.998252,
        1.00191,
        1.00113,
        0.999053,
        0.999698,
        1.00057,
        1.00362,
        1.00068,
        1.00098,
        1.00214,
        1.00037,
        0.99442,
        0.997388,
        0.999696,
        0.997792,
        0.996603,
        0.997441,
        0.999801,
        1.00208,
        1.00131,
        1.0008,
        1.0001,
        1.0012,
        0.996725,
        0.998368,
        0.997721,
        0.996225,
        0.99613,
        0.995477,
        0.993712,
        0.99625,
        0.999058,
        0.999006,
        0.998911,
        0.995616,
        0.995922,
        0.998026,
        0.999396,
        0.99833,
        1.00266,
        1.00124,
        0.999232,
        0.999249,
        1.00088,
        0.998678,
        0.994748,
        0.997436,
        1.00095,
        1.00206,
        1.00071,
        0.999682,
        0.99982,
        1.00039,
        1.00134,
        1.00143,
        1.00001,
        0.994945,
        0.996997,
        0.998496,
        0.998229,
        0.998104,
        0.998286,
        1.00068,
        0.999345,
        1.0,
        1.00075,
        1.00165,
        1.00298,
        1.00396,
        1.00406,
        1.00352,
        1.00486,
        1.00379,
        1.00001,
        1.00047,
        1.00078,
        1.00115,
        1.00162,
        1.00283,
        1.00219,
        0.998918,
        0.996905,
        0.999094,
        0.998921,
        0.998198,
        0.999791,
        0.999286,
        1.00115,
        1.00274,
        1.00199,
        1.00405,
        1.00307,
        1.00136,
        1.00042,
        0.996339,
        0.996777,
        0.996355,
        0.997513,
        1.00013,
        0.997395,
        0.996361,
        0.995222,
        0.996231,
        0.995234,
        0.994097,
        0.993235,
        0.995388,
        0.996954,
        0.99771,
        0.99786,
        0.997988,
        0.995377,
        0.996832,
        0.997069,
        0.997935,
        0.997568,
        0.995701,
        0.997321,
        0.99919,
        0.995274,
        0.99397,
        0.998028,
        0.997797,
        0.997521,
        0.999974,
        1.0003,
        0.994419,
        0.996227,
        0.998514,
        0.99903,
        0.99611,
        0.998006,
        1.00134,
        0.998803,
        0.9958,
        0.993593,
        0.992902,
        0.993466,
        0.992836,
        0.99255,
        0.992456,
        0.993994,
        0.996578,
        0.994832,
        0.994724,
        0.995143,
        0.994295,
        0.996045,
        0.994015,
        0.992134,
        0.990034,
        0.99127,
        0.997284,
        1.00131,
        1.0027,
        0.997682,
        0.996756,
        0.998849,
        0.998263,
        0.998804,
        0.997437,
        0.996491,
        0.996063,
        0.995925,
        0.998202,
        0.999774,
        0.997966,
        0.996472,
        0.996375,
        0.99764,
        0.998277,
        0.999146,
        1.0016,
        1.00229,
        1.00228,
        1.00299,
        1.00475,
        1.00304,
        1.00713,
        1.01073,
        1.01058,
        1.00757,
        1.01648,
        1.02309,
        1.02823,
        1.03742,
        null,
        1.0332,
        1.02681,
        1.02195,
        1.01808,
        1.015,
        1.01866,
        1.01505,
        1.01271,
        1.01219,
        1.01283,
        1.01438,
        1.01295,
        1.01009,
        1.01077,
        1.01295,
        1.01185,
        1.0122,
        1.01453,
        1.0133,
        1.01628,
        1.01266,
        1.01221,
        1.01464,
        1.01626,
        1.01518,
        1.018,
        1.01692,
        1.0158,
        1.01585,
        1.01662,
        1.01836,
        1.01908,
        1.02186,
        1.02224,
        1.0199,
        1.01975,
        1.02193,
        1.02098,
        1.02026,
        1.02237,
        1.02261,
        1.0201,
        1.01959,
        1.01699,
        1.01642,
        1.01755,
        1.01386,
        1.01287,
        1.01209,
        1.01223,
        1.01261,
        1.01341,
        1.01393,
        1.01592,
        1.01513,
        1.01625,
        1.01858,
        1.01904,
        1.02224,
        1.02389,
        1.02157,
        1.01999,
        1.02047,
        1.01994,
        1.02163,
        1.02098,
        1.02052,
        1.0204,
        1.0195,
        1.01609,
        1.01406,
        1.01144,
        1.01133,
        1.0118,
        1.0087,
        1.00731,
        1.00539,
        1.00382,
        1.00429,
        1.00377,
        1.00196,
        1.00369,
        1.00409,
        1.00494,
        1.00568,
        1.00611,
        1.00587,
        1.01331,
        1.00748,
        1.00388,
        1.00698,
        1.0126,
        1.01077,
        1.00651,
        1.00883,
        1.00876,
        1.00938,
        1.01071,
        1.00744,
        1.00631,
        1.00802,
        1.00693,
        1.0048,
        1.00423,
        1.006,
        1.00587,
        0.999744,
        0.997647,
        0.995589,
        0.993482,
        1.00308,
        0.999434,
        1.0006,
        1.0027,
        1.00262,
        1.00052,
        1.00192,
        1.00291,
        1.00944,
        1.00599,
        0.999378,
        0.999908,
        1.00071,
        0.995634,
        0.994891,
        0.996522,
        0.997208,
        0.994516,
        0.989666,
        0.986317,
        0.984881,
        0.989633,
        0.992639,
        0.985334,
        0.982285,
        0.997952,
        1.02854,
        1.03337,
        0.993932,
        1.00262,
        0.99638,
        0.988112,
        0.986056,
        0.987563,
        0.987085,
        0.988206,
        0.987765,
        0.986464,
        0.988361,
        0.991878,
        0.991075,
        0.991149,
        0.993128,
        0.994782,
        0.993179,
        0.998634,
        0.996839,
        0.992288,
        0.993032,
        0.99545,
        0.986962,
        0.99431,
        0.990181,
        1.00137,
        1.02144,
        1.02901,
        1.00179,
        0.990729,
        0.987741,
        0.991204,
        0.994343,
        0.994093,
        0.99322,
        0.990368,
        0.989767,
        0.988111,
        0.986416,
        0.986657,
        0.989733,
        0.985008,
        0.986709,
        0.988224,
        0.989015,
        0.989353,
        0.988922,
        0.993559,
        0.988462,
        0.987127,
        0.989034,
        0.990766,
        0.991022,
        0.990099,
        0.993354,
        0.991582,
        0.988906,
        0.989109,
        0.989356,
        0.994125,
        0.990564,
        0.987826,
        0.991379,
        0.998045,
        0.994375,
        0.99519,
        0.989907,
        0.987414,
        0.98735,
        0.987433,
        0.987271,
        0.989303,
        0.996329,
        0.994571,
        0.991689,
        0.994287,
        0.995449,
        0.99055,
        0.992403,
        0.992434,
        0.990912,
        0.990502,
        0.992535,
        0.994346,
        0.990867,
        0.990203,
        0.993191,
        0.996594,
        0.995538,
        0.993042,
        0.99284,
        0.992073,
        0.993214,
        0.995941,
        0.99363,
        0.991308,
        0.993681,
        0.995811,
        0.994959,
        0.991577,
        0.989668,
        0.990912,
        0.994822,
        0.991856,
        0.990527,
        0.994865,
        0.994141,
        0.995517,
        0.990859,
        0.992163,
        0.995079,
        0.995719,
        0.997239,
        0.995462,
        0.992058,
        0.996071,
        0.999001,
        0.995748,
        0.992631,
        0.996694,
        0.996298,
        0.994635,
        0.992953,
        0.993232,
        0.997828,
        0.995953,
        0.994102,
        0.993116,
        0.992235,
        0.992076,
        0.994924,
        0.998766,
        0.996584,
        0.992606,
        0.990009,
        0.99118,
        0.996008,
        0.992397,
        0.993464,
        0.996195,
        0.997648,
        0.997163,
        0.996562,
        0.997076,
        0.995742,
        0.994715,
        0.995286,
        0.99649,
        0.995605,
        0.992357,
        0.994903,
        0.995693,
        0.997201,
        0.997322,
        0.992498,
        0.999596,
        0.995049,
        0.998209,
        0.996439,
        0.993367,
        1.00157,
        0.999059,
        0.99562,
        0.995572,
        0.993701,
        0.98924,
        0.985502,
        0.986704,
        0.994081,
        1.0041,
        1.02979,
        1.0105,
        0.997281,
        0.995269,
        0.993064,
        0.990452,
        0.990811,
        0.988128,
        0.987256,
        0.99262,
        0.994028,
        0.995005,
        1.00369,
        1.00872,
        1.00617,
        null,
        1.00055,
        1.00563,
        1.00401,
        0.998146,
        0.994844,
        0.996796,
        0.999427,
        0.997766,
        0.998659,
        1.00018,
        1.00048,
        1.0013,
        0.997367,
        0.997646,
        0.997795,
        0.997396,
        0.997941,
        1.00089,
        1.00031,
        1.00144,
        0.998867,
        0.999661,
        1.003,
        1.00167,
        0.997442,
        1.0016,
        1.00136,
        1.00052,
        1.00293,
        1.00907,
        1.01089,
        1.01078,
        1.01491,
        1.0202,
        1.02181,
        1.01692,
        1.00898,
        1.00985,
        0.999962,
        1.00186,
        1.00715,
        1.00616,
        1.0114,
        1.01395,
        1.00784,
        1.00416,
        1.00386,
        1.00506,
        1.00609,
        1.00121,
        1.01007,
        1.00817,
        1.00283,
        1.00131,
        1.00245,
        0.994186,
        1.00027,
        1.0036,
        1.0063,
        1.0094,
        1.01285,
        1.01369,
        1.01592,
        1.02126,
        1.02693,
        null,
        1.03903,
        1.03164,
        1.02694,
        1.02094,
        1.0178,
        1.01419,
        1.00973,
        1.00358,
        0.9988,
        0.998085,
        1.00028,
        0.998976,
        1.00132,
        1.00241,
        1.00033,
        1.00181,
        0.998133,
        0.994651,
        0.991343,
        0.989871,
        0.988983,
        0.989655,
        0.990241,
        0.990341,
        0.992324,
        0.994123,
        1.00824,
        0.991845,
        0.991548,
        0.99146,
        0.993716,
        0.990881,
        0.994609,
        0.997712,
        0.99486,
        0.992469,
        0.992632,
        0.992674,
        0.994248,
        0.991305,
        0.988827,
        0.992921,
        0.995142,
        0.995688,
        0.997178,
        0.994659,
        0.988596,
        0.987459,
        0.995614,
        1.02974,
        0.989213,
        0.981844,
        0.984051,
        0.983898,
        0.987364,
        0.990146,
        0.991203,
        0.989773,
        0.989417,
        0.990906,
        0.993678,
        0.99271,
        0.990372,
        0.991618,
        0.996421,
        0.992755,
        0.990452,
        0.988577,
        0.989022,
        0.992765,
        0.996621,
        1.01001,
        1.02135,
        1.03424,
        1.01204,
        0.998544,
        0.991518,
        0.984072,
        0.981702,
        0.985865,
        0.985353,
        0.982987,
        0.982561,
        0.985635,
        0.988763,
        0.989213,
        0.989321,
        0.994134,
        0.994673,
        0.995298,
        0.995602,
        0.99427,
        0.99344,
        0.997242,
        1.00021,
        1.00051,
        0.999042,
        0.997934,
        0.998476,
        1.00416,
        1.00118,
        1.00042,
        1.00392,
        1.00719,
        1.0051,
        1.00336,
        1.00286,
        1.0018,
        1.00185,
        1.00496,
        1.00307,
        0.998238,
        1.00225,
        1.0047,
        1.00647,
        1.01616,
        1.02503,
        1.02058,
        1.01717,
        1.01236,
        1.00646,
        1.00275,
        0.993694,
        0.993163,
        0.990736,
        0.987545,
        0.986673,
        0.989735,
        0.988648,
        0.992387,
        0.99064,
        0.989197,
        0.988936,
        0.983008,
        0.981349,
        0.979746,
        0.981776,
        0.981394,
        0.978182,
        0.980789,
        0.988554,
        1.0297,
        1.04271,
        1.02759,
        1.00507,
        0.997356,
        0.993638,
        0.995612,
        0.999038,
        1.00021,
        0.99942,
        1.00237,
        1.00491,
        1.00052,
        1.00048,
        1.00341,
        1.0043,
        1.00001,
        1.00157,
        1.00226,
        1.00347,
        1.00409,
        1.0048,
        1.01031,
        0.989926,
        0.969889,
        0.976522,
        0.993305,
        1.00009,
        1.0022,
        1.00219,
        1.00059,
        0.999434,
        0.997552,
        0.994718,
        0.995676,
        0.994877,
        0.993728,
        0.996448,
        0.997981,
        0.994469,
        0.993584,
        0.989053,
        0.990735,
        0.992693,
        0.992922,
        0.992823,
        0.996646,
        0.995361,
        0.996445,
        0.992017,
        0.9882,
        0.991644,
        0.992177,
        0.997549,
        1.00724,
        1.02041,
        1.03599,
        1.03192,
        1.01805,
        1.00954,
        1.00343,
        0.998144,
        0.994303,
        0.992656,
        0.993541,
        0.993629,
        0.992406,
        0.991452,
        0.993514,
        0.99539,
        0.994621,
        0.99495,
        0.994909,
        0.992409,
        0.992347,
        0.991898,
        0.992729,
        0.990394,
        0.988159,
        0.990715,
        0.993714,
        0.991191,
        0.989662,
        0.987975,
        0.988232,
        0.990908,
        0.987184,
        0.985255,
        0.986642,
        0.989089,
        0.990337,
        0.98969,
        0.989709,
        0.991163,
        0.988423,
        0.983854,
        0.982335,
        0.986124,
        0.987554,
        0.987228,
        0.990377,
        0.992926,
        0.992786,
        0.990248,
        0.988629,
        0.984195,
        0.986286,
        0.989985,
        0.993411,
        0.995701,
        0.993448,
        0.991683,
        0.987693,
        0.984661,
        0.985078,
        0.98816,
        0.987078,
        0.990731,
        0.994426,
        0.996052,
        0.995305,
        0.993705,
        0.995076,
        0.994504,
        0.993127,
        0.992893,
        0.992945,
        0.991799,
        0.989533,
        0.988473,
        0.989097,
        0.992639,
        0.992515,
        0.987192,
        0.991534,
        0.994645,
        null,
        1.00973,
        0.997469,
        0.99431,
        0.992103,
        0.987983,
        0.986042,
        0.994153,
        0.991171,
        0.99044,
        0.99273,
        0.992813,
        0.988304,
        0.991237,
        0.993394,
        0.991314,
        0.989935,
        0.990628,
        0.991471,
        0.98843,
        0.988994,
        0.984988,
        0.98601,
        0.988634,
        0.987974,
        0.987729,
        0.986317,
        0.984136,
        0.98362,
        0.985854,
        0.988265,
        0.984623,
        0.987206,
        0.988319,
        0.990507,
        0.993062,
        0.992836,
        0.986884,
        0.999254,
        1.01503,
        1.02462,
        1.04046,
        1.02822,
        1.00821,
        1.00714,
        0.998483,
        0.991713,
        0.988489,
        0.990542,
        0.988468,
        0.992005,
        0.988419,
        0.987718,
        0.984761,
        0.985182,
        0.988839,
        0.98911,
        0.986389,
        0.987032,
        0.988452,
        0.988393,
        0.989754,
        0.986911,
        0.987358,
        0.987123,
        0.986105,
        0.988352,
        0.9899,
        0.987837,
        0.99041,
        0.989125,
        0.989484,
        0.990144,
        0.98752,
        0.985759,
        0.991757,
        0.991934,
        0.991691,
        0.989497,
        0.986296,
        0.984724,
        0.987647,
        0.989655,
        0.989909,
        0.989683,
        0.988025,
        0.986301,
        0.987466,
        0.990185,
        0.988437,
        0.987061,
        0.990164,
        0.99087,
        0.994886,
        0.992189,
        0.98946,
        0.987443,
        0.98747,
        0.986688,
        0.988013,
        0.989254,
        0.989533,
        0.989055,
        0.989027,
        0.988399,
        0.988432,
        0.989719,
        0.989933,
        0.989401,
        0.989079,
        0.986921,
        0.987201,
        0.990958,
        0.986893,
        0.986755,
        0.988078,
        0.987311,
        0.985403,
        0.988852,
        0.989332,
        0.989626,
        0.98963,
        0.989293,
        0.989371,
        0.990425,
        0.987843,
        0.984775,
        0.986709,
        0.989978,
        0.988638,
        0.987271,
        0.987926,
        0.990895,
        0.988847,
        0.988555,
        0.992543,
        0.987925,
        0.988313,
        0.988278,
        0.988402,
        0.987501,
        0.986459,
        0.991536,
        0.993045,
        0.986807,
        0.98751,
        0.987585,
        0.986804,
        0.987945,
        0.99244,
        0.990856,
        0.991555,
        0.992087,
        0.99106,
        0.992712,
        0.989929,
        0.990002,
        0.988522,
        0.989441,
        0.992261,
        0.994746,
        0.993359,
        0.992393,
        0.99439,
        0.994408,
        0.990932,
        0.991954,
        0.990743,
        0.986848,
        0.987759,
        0.990222,
        0.994555,
        0.99848,
        0.996089,
        0.991305,
        0.993832,
        0.994748,
        0.994003,
        0.994253,
        0.993778,
        0.991728,
        0.989523,
        0.989356,
        0.990238,
        0.989761,
        0.990124,
        0.993387,
        0.992281,
        0.994464,
        0.996334,
        0.992636,
        0.98858,
        0.989551,
        0.989668,
        0.991961,
        0.992289,
        0.994291,
        0.997222,
        0.993222,
        0.992807,
        0.992394,
        0.994114,
        0.99472,
        0.994646,
        0.98916,
        0.983706,
        0.982954,
        0.983217,
        0.983496,
        0.984318,
        0.984455,
        0.981836,
        0.979811,
        0.97582,
        0.969513,
        0.970349,
        0.983617,
        0.978328,
        0.978943,
        0.982768,
        0.986066,
        0.987438,
        0.989545,
        0.991479,
        0.994482,
        0.992202,
        0.990647,
        0.990663,
        0.992885,
        0.999823,
        1.00854,
        1.01725,
        1.0308,
        1.01878,
        1.01096,
        1.00066,
        0.998691,
        0.99502,
        0.996344,
        0.996488,
        0.983379,
        null,
        1.00519,
        1.00203,
        0.998049,
        0.998259,
        1.00058,
        1.00217,
        1.0007,
        1.00101,
        0.999851,
        0.998342,
        1.00216,
        1.00215,
        1.00009,
        0.998837,
        0.99863,
        0.995809,
        0.995556,
        0.998555,
        0.996697,
        0.997233,
        0.996897,
        0.998697,
        0.994736,
        0.99332,
        0.99249,
        0.995162,
        0.996086,
        0.992166,
        0.992477,
        0.987659,
        0.983635,
        0.979946,
        0.981429,
        0.985871,
        0.985398,
        0.988719,
        1.00516,
        0.985954,
        0.98546,
        0.984926,
        0.982618,
        0.974806,
        0.97863,
        0.983248,
        0.98792,
        0.984395,
        0.987702,
        0.989437,
        0.987096,
        0.99225,
        0.992069,
        0.989366,
        0.988706,
        0.989698,
        0.993666,
        0.992962,
        0.990845,
        0.990116,
        0.992702,
        0.993261,
        0.990372,
        0.991985,
        0.993383,
        0.993509,
        0.991244,
        0.989637,
        0.99179,
        0.997291,
        0.993444,
        0.991164,
        0.992281,
        0.991953,
        0.992526,
        0.994135,
        0.990755,
        0.992097,
        0.984988,
        0.987845,
        0.992872,
        0.994925,
        0.996487,
        0.991171,
        0.993562,
        0.994985,
        0.991908,
        0.989289,
        0.990945,
        0.996365,
        0.999854,
        0.998,
        0.996018,
        0.998205,
        0.999931,
        0.999822,
        1.00039,
        1.00421,
        0.99933,
        0.998383,
        0.993513,
        0.992413,
        0.995029,
        0.995486,
        0.989478,
        0.993996,
        0.994594,
        0.993872,
        0.994162,
        0.992623,
        0.989083,
        0.990477,
        0.986375,
        0.995474,
        0.994708,
        0.992357,
        0.991801,
        0.988337,
        0.988582,
        0.987512,
        0.986053,
        0.986913,
        0.98746,
        0.987087,
        0.986624,
        0.987899,
        0.98804,
        0.990716,
        0.987647,
        0.986879,
        0.985948,
        0.985816,
        0.986357,
        0.987143,
        0.98575,
        0.984126,
        0.986987,
        0.989643,
        0.993059,
        0.99394,
        0.99357,
        0.992541,
        0.992681,
        0.993218,
        0.993139,
        0.991753,
        0.989765,
        0.989582,
        0.988932,
        0.990652,
        0.99362,
        0.994329,
        0.993263,
        0.996959,
        1.00231,
        1.00139,
        1.00131,
        1.00573,
        1.00729,
        1.00082,
        0.999093,
        0.993757,
        0.990487,
        0.989502,
        0.988364,
        0.987256,
        0.987269,
        0.986428,
        0.987144,
        0.986988,
        0.986759,
        0.989154,
        0.991218,
        0.984878,
        0.985933,
        0.985877,
        0.988421,
        0.988639,
        0.991232,
        0.996095,
        0.994892,
        0.995474,
        0.997593,
        1.00097,
        1.0025,
        1.00288,
        1.00641,
        1.00149,
        0.999297,
        0.996607,
        0.997503,
        0.997036,
        0.997854,
        0.998465,
        0.992164,
        0.990994,
        0.992652,
        0.994282,
        0.991566,
        0.989252,
        0.990237,
        0.990458,
        0.990567,
        0.987897,
        0.989693,
        0.99315,
        0.991105,
        0.991082,
        0.989958,
        0.990581,
        0.99141,
        0.991152,
        0.98984,
        0.992425,
        0.99413,
        0.992542,
        0.993031,
        0.992735,
        0.991809,
        0.993735,
        0.99266,
        0.992075,
        0.99323,
        0.993183,
        0.992441,
        0.993986,
        0.995497,
        0.993949,
        0.995596,
        0.996479,
        0.997372,
        1.00452,
        1.00609,
        1.00436,
        1.00361,
        1.00244,
        0.998442,
        0.993358,
        0.992229,
        0.990128,
        0.994116,
        0.994768,
        0.994574,
        0.994639,
        0.995086,
        0.993684,
        0.98989,
        0.991989,
        0.993152,
        0.99562,
        1.0,
        0.997859,
        0.996616,
        0.993835,
        0.991362,
        0.990635,
        0.990738,
        0.993242,
        0.989894,
        0.989494,
        0.990578,
        0.990526,
        0.991059,
        0.992032,
        0.994314,
        0.997782,
        0.996401,
        0.996452,
        0.99609,
        0.997199,
        0.993961,
        0.991263,
        0.995184,
        0.991588,
        0.992695,
        0.998174,
        1.00266,
        1.00236,
        1.00892,
        1.00838,
        1.00926,
        1.00788,
        1.00253,
        1.00032,
        0.996898,
        0.994113,
        0.994463,
        0.996634,
        0.997105,
        0.995006,
        0.993822,
        0.994004,
        0.994402,
        0.99302,
        0.993265,
        0.993535,
        0.994816,
        0.996631,
        0.994811,
        0.995472,
        0.994323,
        0.993656,
        0.990546,
        0.987825,
        0.993739,
        1.00172,
        1.00036,
        0.999086,
        1.00222,
        1.00409,
        0.996283,
        0.997457,
        0.996729,
        0.999262,
        1.0011,
        1.00224,
        1.00097,
        0.992382,
        0.992222,
        0.994717,
        0.995193,
        0.994723,
        0.993608,
        0.993347,
        0.997901,
        1.00059,
        1.00199,
        1.00406,
        1.00404,
        1.00204,
        0.995795,
        0.992656,
        0.995133,
        0.990373,
        0.991641,
        0.991722,
        0.991246,
        0.990315,
        0.985998,
        0.992172,
        0.992413,
        0.988874,
        0.987813,
        0.990575,
        0.995551,
        0.991982,
        0.991688,
        0.993551,
        0.994754,
        0.994807,
        0.995089,
        0.99779,
        0.997015,
        0.994606,
        0.99486,
        0.989568,
        0.992783,
        0.995649,
        0.993588,
        0.991911,
        0.991927,
        0.993096,
        0.992444,
        0.992674,
        0.994994,
        0.995306,
        0.992122,
        0.995539,
        0.996729,
        0.995259,
        0.99528,
        0.993346,
        0.999615,
        1.00645,
        1.01038,
        1.01119,
        1.01251,
        1.01047,
        1.00332,
        0.995122,
        0.996414,
        0.99662,
        0.992822,
        0.997048,
        0.99322,
        0.992092,
        0.993831,
        0.995187,
        0.996247,
        0.997203,
        0.996101,
        0.997601,
        0.99779,
        0.994317,
        0.993299,
        1.00078,
        0.997017,
        0.997244,
        0.99501,
        1.00161,
        0.999056,
        0.99774,
        0.999572,
        1.00214,
        1.00263,
        1.00078,
        0.996905,
        0.996505,
        0.999158,
        1.0004,
        1.00029,
        0.998261,
        0.998206,
        1.00047,
        1.0041,
        1.00774,
        1.01297,
        1.01792,
        1.01891,
        1.01923,
        1.02506,
        1.02756,
        1.03354,
        1.03328,
        1.02967,
        1.03748,
        1.02996,
        null,
        1.02095,
        1.02058,
        1.01652,
        1.01048,
        1.00457,
        0.990091,
        0.989913,
        0.994011,
        0.992825,
        0.992798,
        0.992043,
        0.991815,
        0.99382,
        0.994925,
        0.99341,
        0.993271,
        0.995564,
        0.991015,
        0.986842,
        0.9842,
        0.985508,
        0.987943,
        0.986339,
        0.985113,
        0.99504,
        0.994973,
        0.999273,
        0.994501,
        0.990567,
        0.994639,
        0.989024,
        0.985999,
        0.98701,
        0.992166,
        0.991836,
        0.99005,
        0.991172,
        0.991837,
        0.983298,
        0.991229,
        0.995229,
        0.99406,
        0.999567,
        null,
        0.974705,
        0.983558,
        0.982471,
        0.984058,
        0.988638,
        0.991962,
        0.993099,
        0.997724,
        0.999596,
        1.00062,
        1.00141,
        0.999075,
        0.993013,
        0.987935,
        0.989061,
        0.988383,
        0.9854,
        0.984997,
        0.983562,
        0.984009,
        0.987839,
        0.991824,
        0.98964,
        0.982315,
        0.971587,
        0.989979,
        0.999337,
        0.996958,
        0.992328,
        0.991208,
        0.994166,
        0.989556,
        0.98838,
        0.984273,
        0.982664,
        0.98893,
        0.996816,
        0.993366,
        0.991193,
        0.988953,
        0.987305,
        0.986586,
        0.983998,
        0.983531,
        0.988186,
        0.990673,
        0.987057,
        0.987072,
        0.986558,
        0.98771,
        0.991004,
        0.992768,
        0.990394,
        0.990133,
        0.994605,
        0.996976,
        0.998008,
        null,
        1.00328,
        1.00618,
        1.00058,
        0.990968,
        0.987643,
        0.997774,
        0.987346,
        0.979792,
        0.984444,
        0.985615,
        0.98634,
        0.98932,
        0.987108,
        0.986509,
        0.994311,
        0.992738,
        0.991197,
        0.989609,
        0.987999,
        0.988503,
        0.992242,
        0.991008,
        0.996048,
        0.996738,
        0.994902,
        0.99642,
        0.999292,
        0.999651,
        1.00173,
        1.00337,
        1.01535,
        1.01078,
        1.00349,
        0.996663,
        0.991792,
        0.989305,
        0.982411,
        0.986546,
        0.987751,
        0.989792,
        0.988132,
        0.986191,
        0.98637,
        0.986788,
        0.988475,
        0.989725,
        0.99292,
        0.992626,
        0.991168,
        0.992675,
        0.995135,
        0.992223,
        0.990524,
        0.99672,
        0.994338,
        0.988273,
        0.986782,
        0.990302,
        0.993133,
        0.991025,
        0.991009,
        0.988858,
        0.992246,
        0.993415,
        0.994339,
        0.995008,
        0.994036,
        0.993306,
        0.994196,
        0.991643,
        0.991939,
        null,
        0.991355,
        0.990665,
        null,
        0.991177,
        0.993037,
        0.996169,
        1.00416,
        1.00039,
        1.00472,
        0.992879,
        0.993628,
        0.991498,
        0.98759,
        0.982408,
        0.989428,
        0.989619,
        0.994143,
        0.996551,
        0.991336,
        0.988893,
        0.99154,
        0.988182,
        0.99085,
        0.996135,
        0.998794,
        1.00058,
        1.00485,
        1.0106,
        1.01409,
        1.02128,
        1.01615,
        1.01073,
        1.00572,
        1.00209,
        0.999858,
        0.99676,
        0.99506,
        0.988174,
        0.987866,
        0.990924,
        0.987891,
        0.984371,
        0.986211,
        0.986968,
        0.984844,
        0.98733,
        0.992125,
        0.991659,
        0.989831,
        0.98849,
        0.987996,
        0.989665,
        0.991826,
        0.983577,
        0.986374,
        0.987682,
        0.985269,
        0.984851,
        0.988247,
        0.989604,
        0.992039,
        0.990632,
        0.987221,
        0.982932,
        0.981991,
        0.983666,
        0.98413,
        0.982179,
        0.983084,
        0.990384,
        0.999654,
        1.02171,
        0.987627,
        0.988224,
        0.982111,
        0.979091,
        0.979304,
        0.979364,
        0.983359,
        0.983752,
        0.982935,
        0.986266,
        0.983736,
        0.98606,
        0.988707,
        0.988221,
        0.988063,
        0.987737,
        0.986651,
        0.987339,
        0.991904,
        0.995081,
        0.997497,
        0.995799,
        0.995263,
        0.993518,
        0.991319,
        0.995244,
        0.990206,
        0.992283,
        0.99015,
        0.98926,
        0.988677,
        0.989184,
        0.994462,
        0.989477,
        0.992176,
        0.997903,
        0.998511,
        0.994695,
        0.9952,
        0.997241,
        0.992801,
        0.994007,
        0.993787,
        0.999125,
        0.999683,
        1.00401,
        1.01063,
        1.01325,
        1.01206,
        1.00324,
        0.992346,
        0.991422,
        0.995455,
        0.998182,
        0.997419,
        0.996707,
        0.993723,
        0.995805,
        0.995154,
        0.994082,
        0.994128,
        0.997257,
        1.00156,
        0.998685,
        0.995943,
        0.989982,
        0.989509,
        0.990407,
        0.992637,
        0.991008,
        0.988676,
        0.989609,
        0.984387,
        0.986831,
        0.988862,
        0.991344,
        0.99048,
        0.98321,
        0.983817,
        0.983177,
        0.986918,
        0.984148,
        0.983747,
        0.98681,
        0.992415,
        0.983251,
        0.983667,
        0.983606,
        0.975607,
        0.98097,
        0.987913,
        0.99187,
        1.00007,
        1.01121,
        1.0067,
        0.993767,
        0.975552,
        0.971346,
        0.979018,
        0.986804,
        0.991292,
        0.995328,
        0.992199,
        0.988639,
        0.99402,
        1.00008,
        1.00132,
        1.0015,
        1.00348,
        0.994328,
        0.993286,
        0.999247,
        1.00152,
        0.998919,
        0.998392,
        1.005,
        1.00464,
        1.00398,
        1.00741,
        1.0096,
        1.00789,
        1.00756,
        1.01416,
        1.00577,
        1.0061,
        0.996752,
        0.997818,
        0.995943,
        0.992202,
        0.990573,
        0.965058,
        0.940924,
        0.95735,
        0.971063,
        0.981113,
        0.99034,
        1.00001,
        1.00933,
        1.01233,
        1.00728,
        1.01238,
        1.01646,
        1.02239,
        1.02915,
        1.03277,
        1.04143,
        1.04374,
        1.03758,
        1.03218,
        1.02784,
        1.02335,
        1.01965,
        1.01907,
        1.01242,
        1.01313,
        1.01141,
        0.974533,
        0.987774,
        0.992578,
        0.997005,
        1.00187,
        1.00425,
        1.00458,
        1.00482,
        1.00493,
        1.00626,
        1.00605,
        1.00865,
        1.00974,
        1.00911,
        1.00966,
        1.01241,
        1.011,
        1.0147,
        1.0108,
        1.00718,
        1.00835,
        1.01036,
        1.00904,
        1.00754,
        1.01075,
        1.01008,
        1.00983,
        1.00135,
        0.996962,
        0.996544,
        0.992979,
        1.00354,
        1.0048,
        1.01344,
        1.01721,
        1.01642,
        1.01284,
        1.00808,
        1.00431,
        1.0055,
        1.00015,
        0.998776,
        0.999853,
        0.997146,
        0.99429,
        0.996015,
        0.999039,
        0.99778,
        1.00381,
        0.998375,
        0.995993,
        0.997613,
        1.00249,
        1.00761,
        1.00118,
        0.999974,
        0.998962,
        0.99637,
        1.00209,
        1.00754,
        1.00714,
        1.01001,
        1.01115,
        1.0199,
        1.01825,
        1.01131,
        1.00608,
        1.0034,
        0.999574,
        0.993798,
        1.00103,
        1.00116,
        1.00014,
        0.997972,
        0.999558,
        1.0031,
        1.00152,
        1.00078,
        1.00037,
        1.00051,
        1.00158,
        1.00233,
        1.00468,
        1.01071,
        1.01808,
        1.02215,
        1.03828,
        1.04485,
        1.04958,
        1.0491,
        1.04359,
        1.03764,
        1.0302,
        1.01936,
        1.0156,
        1.00666,
        1.00146,
        0.999482,
        0.999177,
        1.00287,
        1.00179,
        1.00123,
        0.997649,
        0.994576,
        0.996886,
        1.00119,
        1.00209,
        1.0018,
        1.00051,
        0.998694,
        0.99547,
        0.996812,
        0.999707,
        1.0013,
        1.00214,
        1.00209,
        1.00356,
        0.996123,
        1.00087,
        1.00079,
        0.999402,
        0.999418,
        0.991613,
        0.994322,
        0.995345,
        0.99816,
        0.999219,
        0.996387,
        0.994591,
        0.995691,
        0.99084,
        0.993459,
        0.991722,
        0.995768,
        0.997721,
        0.997191,
        0.998857,
        1.00512,
        1.00888,
        1.01185,
        1.01807,
        1.02566,
        1.02598,
        1.02142,
        1.01541,
        1.00607,
        0.996778,
        1.00401,
        0.998021,
        1.00189,
        1.0006,
        0.996255,
        0.998413,
        0.998584,
        0.993235,
        0.995551,
        0.994915,
        0.990788,
        0.990684,
        0.990588,
        0.986356,
        0.994651,
        0.992045,
        0.996926,
        0.999113,
        0.999346,
        0.999981,
        0.999437,
        0.996929,
        1.00533,
        1.00707,
        0.997138,
        0.998381,
        1.00199,
        1.00019,
        0.994291,
        0.991591,
        0.998667,
        0.988658,
        0.992266,
        0.988392,
        0.988754,
        0.994042,
        0.995639,
        0.994812,
        0.997451,
        0.99255,
        0.994226,
        0.998525,
        1.00017,
        1.00011,
        1.00323,
        1.01009,
        1.01106,
        1.01605,
        1.02646,
        1.02896,
        1.02754,
        1.0241,
        1.01425,
        1.00443,
        1.00205,
        1.00222,
        0.998183,
        1.00082,
        0.99971,
        0.990279,
        0.987382,
        0.990736,
        0.998503,
        0.994999,
        0.991923,
        0.989507,
        0.990958,
        0.994986,
        0.992378,
        0.989655,
        0.981322,
        0.982648,
        0.980065,
        0.979894,
        0.982163,
        0.981652,
        0.978791,
        0.970024,
        0.975055,
        0.979077,
        0.98132,
        0.975279,
        0.976996,
        0.982876,
        0.986064,
        0.988798,
        0.99315,
        0.995755,
        0.993942,
        1.00565,
        1.01534,
        1.02457,
        1.02733,
        1.02567,
        1.02121,
        1.01212,
        1.00478,
        1.00309,
        0.997497,
        0.99889,
        1.00331,
        1.00174,
        0.996566,
        0.998317,
        0.994073,
        0.999721,
        0.997014,
        0.996179,
        0.994171,
        0.993121,
        0.991919,
        0.994039,
        0.997776,
        0.991235,
        0.998434,
        0.99551,
        0.996969,
        0.996341,
        1.00065,
        1.00682,
        1.00465,
        0.999137,
        0.991063,
        0.991185,
        0.989658,
        0.985801,
        0.980778,
        0.978066,
        0.980714,
        0.983058,
        0.984624,
        0.979913,
        0.981476,
        0.984234,
        0.98782,
        0.9862,
        0.993879,
        0.992932,
        0.990831,
        0.994071,
        0.995197,
        1.00168,
        0.999964,
        1.0018,
        1.00937,
        1.01871,
        1.02547,
        1.02815,
        1.02402,
        1.01867,
        1.01386,
        1.00543,
        0.997526,
        0.99773,
        0.997021,
        0.997245,
        0.995304,
        0.994362,
        0.992519,
        0.995528,
        0.994313,
        0.994267,
        0.994091,
        0.99257,
        0.991502,
        0.992523,
        0.995347,
        0.985099,
        0.98839,
        0.998474,
        0.997645,
        0.996685,
        0.996201,
        0.988695,
        0.986866,
        0.990843,
        0.987402,
        0.98907,
        0.993061,
        0.995679,
        0.993006,
        0.992732,
        0.9938,
        0.99188,
        0.991785,
        0.990024,
        0.991933,
        0.992374,
        0.994633,
        0.994863,
        0.997339,
        0.995431,
        0.993255,
        0.995491,
        0.996882,
        0.995182,
        0.994189,
        0.995473,
        0.998394,
        1.00632,
        1.01148,
        1.01949,
        1.02655,
        1.02521,
        1.02395,
        1.01722,
        1.00913,
        1.00242,
        0.996597,
        0.99967,
        1.00137,
        1.00037,
        0.998453,
        1.00103,
        0.997466,
        1.00024,
        0.998276,
        0.997362,
        1.00156,
        1.00239,
        1.00028,
        0.99766,
        1.00323,
        1.00289,
        1.00526,
        1.0061,
        1.01583,
        1.02455,
        1.0256,
        1.02525,
        1.01453,
        1.00985,
        1.00492,
        1.00606,
        1.00254,
        1.00244,
        1.00193,
        1.00028,
        0.998254,
        0.990284,
        0.991238,
        0.99005,
        0.997227,
        0.997232,
        0.99941,
        1.00189,
        1.00091,
        1.00616,
        1.00788,
        1.00201,
        0.997884,
        1.00241,
        1.00559,
        1.0083,
        1.0072,
        1.00725,
        1.0162,
        1.01963,
        1.02613,
        1.02613,
        1.0268,
        1.01866,
        1.01089,
        1.00769,
        1.00641,
        1.00526,
        1.00376,
        0.99941,
        1.00101,
        1.00486,
        0.999686,
        1.00061,
        1.00098,
        1.00117,
        0.997355,
        0.992094,
        0.993057,
        0.993515,
        0.999267,
        0.998183,
        0.997811,
        0.996513,
        0.998067,
        1.00281,
        0.999405,
        0.995865,
        0.995313,
        0.999236,
        0.997712,
        0.998822,
        0.996645,
        0.998062,
        0.998101,
        0.997476,
        0.998473,
        0.994391,
        0.996566,
        0.997737,
        0.995446,
        0.995117,
        0.996928,
        0.997747,
        0.996824,
        0.99736,
        0.996126,
        1.00014,
        0.993808,
        1.00007,
        0.999332,
        1.00068,
        1.00222,
        1.00339,
        1.00632,
        1.01196,
        1.02236,
        1.02192,
        1.02533,
        1.01459,
        1.00494,
        0.998789,
        0.996992,
        0.997709,
        0.991497,
        0.990011,
        0.994448,
        0.999349,
        1.0005,
        1.0048,
        1.01082,
        1.0416,
        1.0528,
        1.02716,
        1.01193,
        1.00045,
        0.99423,
        0.994664,
        0.987708,
        0.992677,
        0.994113,
        0.994549,
        0.99158,
        0.996098,
        0.993921,
        0.992979,
        0.99788,
        0.995492,
        0.997634,
        0.99902,
        1.00382,
        0.998522,
        0.994372,
        0.998614,
        1.00185,
        1.00012,
        0.9918,
        0.997357,
        0.997789,
        0.999834,
        1.00101,
        1.00521,
        1.00948,
        1.01219,
        1.01798,
        1.02065,
        1.0245,
        1.02385,
        1.01736,
        1.00652,
        1.00459,
        1.00588,
        1.00241,
        0.998733,
        0.995627,
        0.994308,
        0.99369,
        0.996428,
        0.993951,
        0.993926,
        0.995566,
        0.996744,
        0.999409,
        0.995931,
        0.997602,
        0.995574,
        0.995105,
        0.995127,
        0.99592,
        0.99404,
        0.99091,
        0.990568,
        0.993389,
        0.991774,
        0.989571,
        0.992065,
        0.98646,
        0.989132,
        0.988722,
        0.99125,
        0.990735,
        0.991471,
        0.989046,
        0.985399,
        0.990232,
        0.989723,
        0.992419,
        0.990338,
        0.99683,
        1.00828,
        1.01221,
        1.01656,
        1.01649,
        1.01339,
        1.00288,
        0.997972,
        0.994455,
        0.995712,
        1.00612,
        1.00574,
        0.991392,
        0.995526,
        1.00778,
        1.00162,
        1.00814,
        1.00868,
        1.00033,
        0.993368,
        0.988769,
        0.986229,
        0.985371,
        0.993432,
        0.992956,
        0.998871,
        0.998805,
        0.99186,
        0.990882,
        0.997225,
        1.00769,
        1.02298,
        1.03443,
        1.02835,
        1.03006,
        1.01838,
        1.00984,
        0.999132,
        0.992571,
        0.986076,
        0.98427,
        0.985455,
        0.984406,
        0.98745,
        0.981665,
        0.985398,
        0.984367,
        0.990006,
        0.991619,
        0.980051,
        1.00924,
        null,
        1.00099,
        0.962863,
        0.957317,
        0.959959,
        0.96681,
        0.961412,
        0.960905,
        0.966041,
        0.967534,
        0.96648,
        0.992054,
        0.967997,
        0.96591,
        0.964064,
        0.966219,
        0.968078,
        0.973292,
        0.974146,
        0.972778,
        0.974155,
        0.973407,
        0.973445,
        0.976616,
        0.974862,
        0.975125,
        0.974563,
        0.98135,
        0.979322,
        0.982988,
        0.983777,
        0.982938,
        0.9822,
        0.97987,
        0.98485,
        0.980446,
        0.987178,
        0.98415,
        0.986674,
        0.983097,
        0.979952,
        0.983427,
        0.987957,
        0.990268,
        0.990379,
        0.990247,
        0.985902,
        0.993527,
        0.997886,
        0.996841,
        0.998396,
        0.999018,
        1.00192,
        1.00276,
        1.00386,
        0.997774,
        0.992162,
        0.992003,
        0.992136,
        0.991698,
        0.992214,
        0.999065,
        1.01458,
        1.02643,
        1.01617,
        1.00915,
        0.998819,
        0.984442,
        null,
        0.972533,
        0.964551,
        0.957442,
        0.988272,
        0.968137,
        0.977983,
        0.980641,
        0.989316,
        0.987943,
        0.988158,
        0.99586,
        0.995851,
        0.995517,
        0.992194,
        0.995324,
        0.995127,
        0.998671,
        0.995533,
        0.993754,
        0.99147,
        0.98424,
        0.994343,
        0.997104,
        0.996349,
        0.995421,
        0.996125,
        0.997581,
        0.993467,
        0.991724,
        0.998036,
        0.997977,
        0.997516,
        1.00167,
        1.004,
        1.00079,
        0.998572,
        1.00178,
        0.996617,
        1.00372,
        1.00476,
        1.00065,
        1.00255,
        1.00639,
        1.00916,
        null,
        1.00844,
        1.01555,
        1.01487,
        1.0171,
        1.00592,
        1.01194,
        1.00707,
        1.0051,
        1.01216,
        1.01246,
        1.01346,
        1.01533,
        1.02821,
        1.08065,
        1.07037,
        1.04063,
        1.02326,
        1.01267,
        1.00611,
        1.00082,
        0.993244,
        0.995854,
        0.995897,
        0.99482,
        0.992926,
        0.993272,
        0.990666,
        0.990847,
        0.998562,
        0.986069,
        0.989056,
        0.988979,
        0.984743,
        0.98524,
        0.990691,
        0.986864,
        null,
        1.01992,
        0.987593,
        0.988255,
        0.991116,
        0.990282,
        0.977768,
        0.98296,
        0.980511,
        0.987672,
        0.99151,
        0.987164,
        0.985914,
        0.987693,
        0.992815,
        null,
        0.985379,
        0.985528,
        0.977764,
        0.974998,
        0.978999,
        0.981093,
        0.981291,
        0.980378,
        0.984949,
        0.989503,
        0.982372,
        0.979334,
        0.985153,
        0.992273,
        null,
        1.01067,
        0.956452,
        0.964446,
        0.971058,
        0.96595,
        0.963233,
        0.973209,
        0.978784,
        0.975869,
        0.973139,
        1.01203,
        1.01071,
        1.0036,
        0.997087,
        0.997616,
        1.00531,
        1.00598,
        1.013,
        1.01574,
        1.03315,
        1.04063,
        1.05034,
        1.05777,
        1.05489,
        1.04343,
        1.02934,
        1.01784,
        1.00831,
        1.00005,
        1.00903,
        0.997557,
        0.995537,
        0.995418,
        0.993784,
        0.993613,
        0.994639,
        0.993404,
        0.990145,
        0.988767,
        0.988038,
        0.993463,
        0.99118,
        0.995598,
        0.996249,
        0.995598,
        0.994119,
        0.993155,
        0.99305,
        0.987676,
        1.00563,
        0.996815,
        1.00063,
        0.997933,
        1.00104,
        1.00702,
        1.01246,
        1.01649,
        1.03149,
        1.05918,
        1.07405,
        1.08514,
        1.07421,
        1.06113,
        1.04114,
        1.02456,
        1.01,
        1.00482,
        1.00131,
        0.999971,
        1.00257,
        0.995331,
        0.991083,
        0.991636,
        0.987811,
        0.993845,
        0.994307,
        0.993241,
        0.993836,
        0.992123,
        0.99258,
        0.999466,
        1.00578,
        1.00808,
        1.00367,
        1.01128,
        1.0284,
        1.05325,
        1.04448,
        1.02811,
        1.01365,
        1.00963,
        1.0002,
        1.00084,
        0.999119,
        0.995692,
        0.994878,
        0.992709,
        0.989264,
        0.986152,
        0.989661,
        0.986477,
        0.987781,
        0.982433,
        0.984499,
        0.986242,
        null,
        0.984976,
        0.982267,
        0.981382,
        0.982564,
        0.977868,
        0.978549,
        0.982334,
        0.979683,
        0.969284,
        0.967679,
        0.966296,
        0.973852,
        0.972266,
        0.9631,
        0.96669,
        null,
        null,
        0.95632,
        0.962086,
        0.969949,
        0.965845,
        0.974965,
        0.962817,
        0.973713,
        0.968157,
        0.971409,
        0.972696,
        0.975204,
        0.984973,
        0.989861,
        0.979847,
        0.973913,
        0.981436,
        0.989077,
        0.977099,
        0.974456,
        0.981196,
        0.979366,
        0.985931,
        0.986201,
        0.984233,
        0.984551,
        0.99151,
        0.989691,
        0.983312,
        0.981842,
        0.978852,
        0.988299,
        0.987378,
        0.991637,
        0.989663,
        0.987622,
        0.987285,
        0.988415,
        0.98279,
        0.984328,
        0.990483,
        0.990059,
        0.990788,
        0.988129,
        0.987372,
        0.983998,
        0.985756,
        0.983132,
        0.994689,
        0.990972,
        0.985741,
        0.987395,
        0.993055,
        0.995268,
        0.989226,
        0.988186,
        0.992037,
        1.00328,
        0.990635,
        null,
        0.995131,
        0.990958,
        0.993244,
        0.991112,
        0.991608,
        0.993464,
        0.991524,
        0.993136,
        0.992082,
        0.99329,
        0.995157,
        0.994116,
        0.996157,
        1.00044,
        1.00327,
        1.01126,
        1.01043,
        1.0155,
        null,
        0.99677,
        0.988185,
        0.987395,
        0.986697,
        0.987141,
        0.986296,
        0.982638,
        0.986259,
        0.980457,
        0.985321,
        0.979845,
        0.981002,
        0.976311,
        0.98694,
        0.985245,
        0.980326,
        0.982173,
        0.981926,
        0.973202,
        0.9722,
        0.993793,
        0.995354,
        0.994251,
        0.99453,
        0.983067,
        0.979373,
        0.986399,
        0.983852,
        0.967481,
        0.973368,
        0.975258,
        0.97691,
        0.973741,
        0.973463,
        0.977666,
        0.977645,
        0.986175,
        0.992987,
        0.983827,
        0.979417,
        0.978162,
        0.980902,
        0.983058,
        0.986253,
        0.985146,
        0.987009,
        0.987174,
        0.989097,
        0.99162,
        0.993345,
        0.996194,
        0.996835,
        0.992776,
        0.98829,
        0.989431,
        0.993394,
        0.997537,
        0.994526,
        0.997623,
        1.00697,
        1.0086,
        1.01139,
        1.01531,
        1.01607,
        1.01432,
        1.01311,
        1.02624,
        1.02569,
        1.02439,
        1.03751,
        1.05321,
        1.07285,
        1.08902,
        1.08958,
        1.07426,
        1.0569,
        1.0425,
        1.02968,
        1.01877,
        1.02002,
        1.01822,
        1.01508,
        1.00978,
        1.00809,
        1.00904,
        1.00486,
        1.00667,
        1.00294,
        1.00056,
        1.00839,
        1.00637,
        1.00458,
        1.00536,
        1.00575,
        1.00545,
        1.00663,
        1.00805,
        1.00872,
        1.0103,
        1.00412,
        1.00699,
        1.01275,
        1.0135,
        1.00957,
        1.00716,
        1.00696,
        1.00366,
        1.00248,
        1.00673,
        1.01113,
        1.00848,
        1.00753,
        1.00912,
        1.00783,
        1.00641,
        1.00756,
        1.00858,
        1.01044,
        1.0106,
        1.00521,
        1.00923,
        1.01265,
        1.01615,
        1.02143,
        1.02381,
        1.02433,
        1.02485,
        1.02008,
        1.01372,
        1.00886,
        1.00548,
        1.00197,
        1.00864,
        1.01068,
        1.00757,
        1.00571,
        1.00675,
        1.0057,
        1.0001,
        1.0064,
        1.00896,
        1.00993,
        1.00362,
        1.00737,
        1.00457,
        1.00068,
        1.00317,
        1.00712,
        1.00757,
        1.00365,
        1.00089,
        1.00561,
        1.00342,
        1.00126,
        0.996218,
        0.996592,
        0.999546,
        0.999243,
        0.998767,
        1.00207,
        1.00504,
        1.00434,
        0.990187,
        0.993189,
        0.994948,
        0.989508,
        null,
        0.988365,
        0.989786,
        0.986623,
        0.982215,
        0.976725,
        0.980309,
        0.978269,
        0.969656,
        0.965633,
        0.964826,
        0.964381,
        0.96713,
        0.968907,
        0.965367,
        0.890259,
        0.905686,
        0.915198,
        0.926182,
        0.928602,
        0.935389,
        0.941041,
        0.945844,
        0.948525,
        0.949846,
        0.952469,
        0.955555,
        0.955718,
        0.957319,
        0.961564,
        0.96542,
        0.967461,
        0.969719,
        0.974002,
        0.97016,
        0.962723,
        0.960447,
        0.955941,
        0.957498,
        0.960305,
        0.970104,
        0.96809,
        0.966182,
        0.972812,
        0.978471,
        0.978341,
        0.978855,
        0.981654,
        0.979574,
        0.984809,
        0.986453,
        0.994502,
        0.997404,
        1.001,
        1.00318,
        1.00527,
        1.00241,
        0.993838,
        0.987298,
        0.985254,
        0.979695,
        0.982703,
        0.977945,
        0.977702,
        0.976807,
        null,
        0.97464,
        0.975257,
        0.974323,
        0.973056,
        0.973065,
        0.964992,
        0.957709,
        0.951192,
        0.951251,
        0.946643,
        0.93842,
        0.92912,
        0.928947,
        0.933021,
        0.908614,
        0.914085,
        0.919927,
        0.941229,
        0.949726,
        0.960679,
        0.966226,
        0.962676,
        0.963431,
        0.963879,
        0.967984,
        0.976585,
        0.982368,
        0.983857,
        0.940558,
        0.917657,
        0.944635,
        0.95786,
        0.971539,
        0.978676,
        0.978655,
        0.982629,
        0.983447,
        0.984129,
        0.98778,
        0.98959,
        0.988268,
        0.990702,
        0.995348,
        0.993125,
        0.994326,
        1.00147,
        1.00107,
        1.00223,
        1.00517,
        1.00261,
        0.998583,
        0.998699,
        0.998967,
        0.997868,
        1.00042,
        0.997628,
        0.99327,
        0.997819,
        0.997496,
        1.00114,
        1.00351,
        1.00242,
        0.997985,
        0.99432,
        0.997832,
        0.999866,
        0.997018,
        0.997826,
        0.995336,
        0.994484,
        0.994273,
        1.00246,
        1.01336,
        1.02171,
        0.978494,
        0.981697,
        0.983315,
        0.982571,
        0.977382,
        0.977635,
        0.981216,
        0.983347,
        0.990109,
        0.986942,
        0.984969,
        0.976725,
        0.969077,
        0.95631,
        0.96141,
        0.97347,
        0.992178,
        1.00182,
        1.00232,
        1.01053,
        1.01763,
        1.03145,
        1.04692,
        1.06991,
        1.09052,
        1.07663,
        null,
        1.05376,
        1.05009,
        1.04264,
        1.02789,
        1.02143,
        1.01295,
        1.00479,
        1.01331,
        1.00442,
        1.0024,
        1.00673,
        1.00849,
        1.00661,
        0.997047,
        0.993119,
        0.997594,
        0.998066,
        0.995654,
        0.997733,
        0.998746,
        0.995075,
        0.995782,
        0.990863,
        0.966283,
        0.968626,
        0.976215,
        0.969998,
        0.980968,
        0.981216,
        0.984346,
        0.985256,
        0.985527,
        0.986305,
        0.986188,
        0.987974,
        0.99126,
        0.984998,
        0.985184,
        0.988977,
        0.989381,
        0.996882,
        1.00087,
        1.01731,
        0.93447,
        0.945066,
        0.958889,
        0.960915,
        0.972575,
        0.982354,
        0.990583,
        0.995847,
        0.997328,
        0.998374,
        1.0009,
        1.00298,
        1.00656,
        0.996506,
        1.00581,
        1.00378,
        1.00361,
        1.00944,
        1.01249,
        1.01,
        1.01142,
        1.01521,
        1.01124,
        1.01573,
        1.01957,
        1.01484,
        1.01705,
        1.01911,
        1.01861,
        1.02073,
        1.02173,
        1.02241,
        null,
        1.02732,
        1.03635,
        1.04244,
        1.04054,
        1.04015,
        1.03348,
        1.03378,
        1.02864,
        1.03142,
        1.04228,
        1.06025,
        1.08073,
        1.09152,
        1.08382,
        1.0659,
        1.05365,
        1.03771,
        1.03234,
        1.02783,
        1.02775,
        1.0235,
        1.01806,
        1.01727,
        1.01761,
        1.01446,
        1.02013,
        1.02012,
        1.01377,
        1.01445,
        1.0226,
        1.02079,
        1.01882,
        1.01982,
        1.01809,
        1.01425,
        1.01507,
        1.01952,
        1.01929,
        1.01879,
        1.01231,
        1.01523,
        1.01338,
        1.01363,
        1.0176,
        1.02172,
        1.0218,
        1.02164,
        1.02356,
        1.02016,
        1.0222,
        1.0329,
        1.04236,
        1.04034,
        1.03548,
        1.0316,
        1.02656,
        1.01528,
        1.011,
        1.01315,
        1.01017,
        1.00593,
        1.00466,
        1.00933,
        1.00523,
        1.01101,
        1.00519,
        1.00725,
        1.00571,
        1.00928,
        1.01051,
        1.00841,
        1.00592,
        1.00233,
        1.00206,
        0.997036,
        0.999351,
        0.998469,
        1.00097,
        0.996386,
        0.995036,
        0.991802,
        0.991815,
        0.991764,
        0.99097,
        0.991255,
        0.993933,
        0.936372,
        0.952798,
        0.962798,
        0.960447,
        0.973594,
        0.977962,
        0.990092,
        1.0052,
        1.01521,
        1.03181,
        1.05315,
        1.06786,
        1.06599,
        1.05068,
        1.0412,
        1.03985,
        1.02864,
        1.02411,
        1.03269,
        1.03369,
        1.04004,
        1.04415,
        1.03365,
        1.02592,
        1.02768,
        1.029,
        1.02588,
        1.01895,
        1.01714,
        1.01502,
        1.01563,
        1.0144,
        1.01567,
        1.01672,
        1.02061,
        1.01821,
        1.01797,
        1.01903,
        1.0175,
        1.02086,
        1.02266,
        1.01856,
        1.01551,
        1.01573,
        1.01964,
        1.01863,
        1.02193,
        1.02115,
        1.02085,
        1.02003,
        1.01696,
        1.01408,
        1.01444,
        1.01931,
        1.01443,
        1.01163,
        1.01431,
        1.02328,
        1.01966,
        1.01467,
        1.01348,
        1.01538,
        1.01384,
        1.01207,
        1.01604,
        1.01887,
        1.01358,
        1.01003,
        1.01223,
        1.01748,
        1.01626,
        1.01613,
        null,
        1.02129,
        1.01169,
        1.01361,
        1.01805,
        1.0211,
        1.02809,
        1.03551,
        1.03347,
        1.02656,
        1.01974,
        1.014,
        1.0119,
        1.01346,
        1.01628,
        1.02325,
        1.01316,
        0.991581,
        0.988718,
        0.974864,
        0.97775,
        0.981861,
        0.983791,
        0.986205,
        0.9917,
        0.997387,
        1.01968,
        1.01454,
        1.01281,
        1.01582,
        1.01875,
        1.02092,
        1.02316,
        1.02463,
        1.02474,
        1.02402,
        1.02343,
        1.02418,
        1.02041,
        1.03188,
        1.03532,
        1.03728,
        1.04632,
        1.04634,
        1.03953,
        1.03376,
        1.03062,
        1.02565,
        1.01755,
        1.02268,
        1.01883,
        1.01695,
        1.02111,
        1.01987,
        1.02018,
        1.01908,
        1.01762,
        1.01873,
        1.02147,
        1.0198,
        1.01536,
        1.01565,
        1.0176,
        1.01737,
        1.01416,
        1.02292,
        1.02166,
        1.0166,
        1.01536,
        1.00967,
        1.009,
        1.01026,
        1.00919,
        1.00995,
        1.0104,
        1.00605,
        1.00677,
        1.00124,
        1.00214,
        1.00152,
        1.00175,
        1.00076,
        0.993004,
        0.990263,
        0.987769,
        0.987658,
        0.98396,
        0.970838,
        0.954419,
        0.946361,
        0.953998,
        0.959238,
        0.955571,
        0.962976,
        0.971379,
        0.973834,
        0.983501,
        0.986916,
        0.990422,
        0.99309,
        0.994258,
        0.995391,
        0.999277,
        1.00639,
        1.0079,
        1.01046,
        1.00894,
        1.012,
        1.01385,
        1.01586,
        1.01658,
        1.01712,
        1.01183,
        1.0092,
        1.01179,
        1.0196,
        1.0238,
        1.0117,
        1.00193,
        1.00276,
        1.00707,
        1.01309,
        1.0195,
        1.03074,
        1.05033,
        1.05232,
        1.04772,
        1.0422,
        1.03805,
        1.03523,
        1.03351,
        1.03082,
        1.02192,
        1.02154,
        1.01488,
        1.02141,
        1.01665,
        1.02642,
        1.02027,
        1.01953,
        1.01858,
        1.02088,
        1.01937,
        1.01763,
        1.01675,
        1.01339,
        1.01882,
        1.01478,
        1.01994,
        1.0127,
        1.01673,
        1.01412,
        1.01856,
        1.01309,
        1.01297,
        1.01504,
        1.01971,
        1.02117,
        1.01871,
        1.01657,
        1.01252,
        1.01431,
        1.01328,
        1.01668,
        1.00742,
        1.00739,
        1.00938,
        null,
        1.01343,
        1.01828,
        1.01842,
        1.01706,
        1.01695,
        1.01613,
        1.01658,
        1.01944,
        1.02221,
        1.03946,
        1.03657,
        1.03514,
        1.02877,
        1.02304,
        1.02099,
        1.02419,
        1.02307,
        1.02144,
        1.02102,
        1.02087,
        1.01952,
        1.01613,
        1.01413,
        1.01723,
        1.0107,
        1.01294,
        1.01841,
        1.01675,
        1.0155,
        1.01748,
        1.01581,
        1.02119,
        1.01623,
        1.01759,
        1.0138,
        1.01371,
        1.01378,
        1.01625,
        1.02222,
        1.02249,
        1.02052,
        1.0199,
        1.01951,
        1.02155,
        1.02408,
        null,
        1.02473,
        1.03052,
        1.03188,
        1.04266,
        1.04881,
        1.05536,
        1.04441,
        1.03831,
        1.03632,
        1.0342,
        1.03708,
        1.04352,
        1.03944,
        1.03169,
        1.02664,
        1.01808,
        1.01666,
        1.01024,
        1.0079,
        1.00687,
        1.00014,
        0.996559,
        0.999827,
        1.00039,
        1.00056,
        1.00064,
        1.00475,
        1.00396,
        1.00782,
        1.01414,
        1.01044,
        1.00819,
        1.01187,
        1.01175,
        1.01108,
        1.00658,
        1.0082,
        1.01239,
        1.01412,
        1.01149,
        1.01318,
        1.0204,
        1.01478,
        1.01704,
        1.01896,
        1.01226,
        1.01523,
        1.01696,
        1.01399,
        1.01281,
        1.01795,
        1.01517,
        1.01184,
        1.01149,
        1.01217,
        1.01521,
        1.01669,
        1.01556,
        1.02575,
        1.0312,
        1.03072,
        1.02859,
        1.0225,
        1.0208,
        1.01936,
        1.01311,
        1.01644,
        1.01857,
        1.01458,
        1.01367,
        1.01504,
        1.0139,
        1.01325,
        1.01237,
        1.01076,
        1.01533,
        1.01965,
        1.01919,
        1.0117,
        1.01676,
        1.01871,
        1.01538,
        1.01598,
        1.01476,
        1.01245,
        1.01546,
        1.01372,
        1.01178,
        1.01608,
        1.00862,
        1.02142,
        1.01514,
        1.02257,
        1.01139,
        1.02248,
        1.01953,
        1.02697,
        1.03447,
        1.03766,
        1.03275,
        1.02516,
        1.01933,
        1.02028,
        1.02132,
        1.0137,
        1.00872
    ],
    "flux_error": [
        0.00460264,
        0.00417262,
        0.004458,
        0.00390732,
        0.00407563,
        0.00443161,
        0.00443865,
        0.00411932,
        0.00363583,
        0.00326764,
        0.00309739,
        0.00315118,
        0.0035817,
        0.00372033,
        0.00367108,
        0.00342115,
        0.00283443,
        0.00251601,
        0.00241172,
        0.00246766,
        0.00259267,
        0.00256646,
        0.00242346,
        0.002155,
        0.00207512,
        0.00246653,
        0.00217405,
        0.0021431,
        0.00211708,
        0.00213138,
        0.00243699,
        0.00220894,
        0.00227489,
        0.00235387,
        0.00235254,
        0.00255339,
        0.00282778,
        0.0029791,
        0.00295502,
        0.00275034,
        0.00250122,
        0.00239009,
        0.00217351,
        0.00192068,
        0.00183,
        0.00178822,
        0.00182904,
        0.00187686,
        0.00186032,
        0.00168218,
        0.00186117,
        0.00179946,
        0.00166981,
        0.00163633,
        0.00155853,
        0.0020183,
        0.00204395,
        0.00182702,
        0.00185314,
        0.00194515,
        0.00173747,
        0.00165571,
        0.00176585,
        0.0018519,
        0.00172203,
        0.00186658,
        0.00189949,
        0.00171777,
        0.00193148,
        0.00207036,
        0.00215346,
        0.00215762,
        0.00214114,
        0.00276255,
        0.00326894,
        0.00370628,
        0.00398955,
        0.00396911,
        0.00391669,
        0.00365066,
        0.00384968,
        0.00495786,
        0.00353097,
        0.00278688,
        0.00274104,
        0.00272275,
        0.00258099,
        0.00252244,
        0.00278649,
        0.00320057,
        0.00369564,
        0.00415388,
        0.0043147,
        0.0041374,
        0.00349559,
        0.00275315,
        0.0023028,
        0.00240654,
        0.00247902,
        0.00252677,
        0.00256605,
        0.00264192,
        0.00341983,
        0.00410661,
        0.00405963,
        0.00294133,
        0.00274563,
        0.00261567,
        0.0025885,
        0.00242702,
        0.00233099,
        0.00271539,
        0.00335104,
        0.00440308,
        0.00381824,
        0.00304523,
        0.00225708,
        0.00208792,
        0.00212417,
        0.00214147,
        0.00199513,
        0.00209373,
        0.00218295,
        0.00218576,
        0.00205185,
        0.0017529,
        0.00179804,
        0.00184526,
        0.00184007,
        0.0017915,
        0.00181303,
        0.00225173,
        0.00221209,
        0.00219546,
        0.00255348,
        0.00270172,
        0.00225517,
        0.00197695,
        0.00189071,
        0.00184331,
        0.00162482,
        0.00157522,
        0.00155522,
        0.00153715,
        0.0015509,
        0.00163996,
        0.001648,
        0.00151848,
        0.00134969,
        0.00153353,
        0.00149479,
        0.00142994,
        0.00137973,
        0.00138944,
        0.00159194,
        0.0016518,
        0.00170692,
        0.00183508,
        0.00208709,
        0.00229479,
        0.00240873,
        0.00258902,
        0.00268467,
        0.00234387,
        0.00187168,
        0.00174728,
        0.00170707,
        0.00158463,
        0.00131816,
        0.00138988,
        0.00148765,
        0.00152842,
        0.00149373,
        0.00152439,
        0.00150292,
        0.00147971,
        0.0014291,
        0.00133289,
        0.001423,
        0.00147177,
        0.00146943,
        0.00144953,
        0.00147191,
        0.00131829,
        0.00133446,
        0.00135614,
        0.00137499,
        0.00158988,
        0.00177883,
        0.00192953,
        0.00195925,
        0.00189761,
        0.00213883,
        0.00205692,
        0.00205747,
        0.0020995,
        0.00208639,
        0.0021167,
        0.00296054,
        0.00378075,
        0.00402162,
        0.00327833,
        0.00290283,
        0.00263156,
        0.00226349,
        0.00187739,
        0.00185554,
        0.00185619,
        0.00200938,
        0.00231334,
        0.00328989,
        0.00244654,
        0.00213191,
        0.00206744,
        0.00217624,
        0.00240932,
        0.00242467,
        0.00243251,
        null,
        0.00274706,
        0.00238957,
        0.00201043,
        0.00196757,
        0.00189961,
        0.00184977,
        0.00202922,
        0.00201875,
        0.00200769,
        0.0020812,
        0.00209853,
        0.00163421,
        0.00157148,
        0.00153423,
        0.001533,
        0.00158608,
        0.0017139,
        0.00171316,
        0.00181803,
        0.00201563,
        0.00224717,
        0.00240009,
        0.00228007,
        0.00206933,
        0.00186439,
        0.00172946,
        0.00154142,
        0.00136473,
        0.00132568,
        0.00136929,
        0.00133022,
        0.00133527,
        0.00139527,
        0.00156067,
        0.00175928,
        0.00174608,
        0.00192385,
        0.00184008,
        0.00186997,
        0.00228098,
        0.00309932,
        0.00329896,
        0.00369732,
        0.00359244,
        0.00334765,
        0.00299863,
        0.00251702,
        0.00227808,
        0.00185702,
        0.00158615,
        0.00147343,
        0.00131637,
        0.00140307,
        0.0013368,
        0.00123536,
        0.00118587,
        0.00125432,
        0.00129229,
        0.00128138,
        0.00126092,
        0.00125579,
        0.00124506,
        0.00125029,
        0.00124672,
        0.00117019,
        0.00101159,
        0.00108246,
        0.00104984,
        0.00108155,
        0.00110607,
        0.00101835,
        0.00123237,
        0.00122604,
        0.00114994,
        0.0010984,
        0.00114497,
        0.00120084,
        0.00116939,
        0.00114373,
        0.00116915,
        0.00123946,
        0.00122597,
        0.00123079,
        0.00129056,
        0.00139382,
        0.00142135,
        0.0012586,
        0.00119508,
        0.00122157,
        0.00127171,
        0.0011986,
        0.00128149,
        0.00136238,
        0.0013736,
        0.00129188,
        0.00131391,
        0.00129107,
        0.00127935,
        0.00131615,
        0.00142664,
        0.00143403,
        0.00137582,
        0.00139236,
        0.00150752,
        0.00163689,
        0.00196266,
        0.00239201,
        0.00260559,
        0.00195664,
        0.00166146,
        0.00148283,
        0.00140781,
        0.00152164,
        0.00192718,
        0.00281783,
        0.00205818,
        0.00166747,
        0.00145392,
        0.00127249,
        0.00115999,
        0.00113872,
        0.00121982,
        0.00127796,
        0.00135809,
        0.00130423,
        0.00119616,
        0.00138839,
        0.00119969,
        0.00137749,
        0.00166202,
        0.00187763,
        0.00206291,
        0.00233262,
        0.00263841,
        0.00292099,
        0.00300052,
        0.00220836,
        0.00191964,
        0.00167375,
        0.00151928,
        0.00153843,
        0.00140189,
        0.00137332,
        0.00140969,
        0.00142298,
        0.00133519,
        0.0014831,
        0.00142334,
        0.00135722,
        0.00137487,
        0.00150499,
        0.00140508,
        0.00147028,
        0.00150685,
        0.0014896,
        0.00156912,
        0.00144727,
        0.00137757,
        0.00126383,
        0.00113117,
        0.001287,
        0.00133755,
        0.00120227,
        0.00111522,
        0.00120834,
        0.00120272,
        0.00118928,
        0.00116623,
        0.00125849,
        0.00151264,
        0.00140755,
        0.00139844,
        0.00144885,
        0.00148972,
        0.00143841,
        0.00122082,
        0.00127691,
        0.0012861,
        0.00123077,
        0.00123719,
        0.00123493,
        0.00119827,
        0.00118173,
        0.00118536,
        0.00116098,
        0.00107349,
        0.00102445,
        0.00103944,
        0.00110533,
        0.00114973,
        0.00116788,
        0.00117465,
        0.00119952,
        0.00124379,
        0.00123868,
        0.00116551,
        0.0011322,
        0.00115033,
        0.00121466,
        0.00131612,
        0.00121464,
        0.00108604,
        0.00104095,
        0.00114632,
        0.00123967,
        0.00123697,
        0.00115768,
        0.00109437,
        0.00115327,
        0.00120727,
        0.00125671,
        0.00117075,
        0.00103719,
        0.00106588,
        0.00124564,
        0.0012039,
        0.00125161,
        0.00139414,
        0.00136921,
        0.00137083,
        0.00126415,
        0.0011722,
        0.00117466,
        0.00129622,
        0.0012309,
        0.00108447,
        0.00107771,
        0.00125348,
        0.00127326,
        0.00110519,
        0.00110098,
        0.00115255,
        0.00115709,
        0.00119054,
        0.0012284,
        0.00128071,
        0.00125921,
        0.00112149,
        0.00119305,
        0.00123578,
        0.00119523,
        0.0011358,
        0.00115335,
        0.00124012,
        0.001202,
        0.00123967,
        0.00129869,
        0.00123288,
        0.0013494,
        0.00129309,
        0.00124629,
        0.00126454,
        0.00132322,
        0.00148799,
        0.00136212,
        0.00127601,
        0.00130511,
        0.00127984,
        0.00139391,
        0.00147409,
        0.00144259,
        0.00135244,
        0.00147566,
        0.00148881,
        0.00168018,
        0.00184992,
        0.00191995,
        0.00213878,
        0.00186818,
        0.00167918,
        0.00165027,
        0.00171074,
        0.00143629,
        0.0013388,
        0.00133533,
        0.00132151,
        0.00123536,
        0.00128771,
        0.00133015,
        0.00129281,
        0.00130198,
        0.00149343,
        0.00160253,
        0.00163961,
        0.00177536,
        0.00195,
        0.00201147,
        0.00185038,
        0.00189779,
        0.00171997,
        0.0014575,
        0.00155639,
        0.00151215,
        0.00144618,
        0.00140099,
        0.00138196,
        0.00136597,
        0.00144369,
        0.0012952,
        0.00123227,
        0.00130855,
        0.00128421,
        0.00142003,
        0.00139683,
        0.00134429,
        0.00133388,
        0.00133409,
        0.00140162,
        0.00131962,
        0.00125919,
        0.00130431,
        0.00128805,
        0.00142064,
        0.00135141,
        0.00133817,
        0.00149175,
        0.00126338,
        0.00133545,
        0.00132577,
        0.0013361,
        0.00144838,
        0.00129815,
        0.00125707,
        0.00135146,
        0.0015133,
        0.00163312,
        0.00153699,
        0.00171531,
        0.00168206,
        0.00156786,
        0.00165791,
        0.00172101,
        0.00196392,
        0.00207638,
        0.00200351,
        0.00182026,
        0.00203784,
        0.00200461,
        0.00238352,
        0.00300206,
        0.00322616,
        null,
        0.00356121,
        0.00302592,
        0.00292871,
        0.00306556,
        0.00301194,
        0.00260045,
        0.00249503,
        0.00215207,
        0.00212834,
        0.00223542,
        0.00223176,
        0.00224039,
        0.00190749,
        0.00187429,
        0.00202462,
        0.00208784,
        0.00178665,
        0.00165137,
        0.00168648,
        0.00173258,
        0.00161365,
        0.0014477,
        0.00142778,
        0.00145414,
        0.00147695,
        0.00145968,
        0.00134908,
        0.00135614,
        0.00145066,
        0.00150653,
        0.00137408,
        0.00133868,
        0.00138659,
        0.00143325,
        0.00146012,
        0.00148006,
        0.00144629,
        0.00144655,
        0.00142925,
        0.00137655,
        0.00129807,
        0.00132909,
        0.00139533,
        0.00148374,
        0.00151859,
        0.00137268,
        0.00134622,
        0.0013835,
        0.0013802,
        0.00133683,
        0.00136671,
        0.00158342,
        0.00156583,
        0.00148146,
        0.00141893,
        0.0013486,
        0.00140455,
        0.00153831,
        0.00158411,
        0.0015006,
        0.00143052,
        0.00153495,
        0.00151553,
        0.00150653,
        0.00157945,
        0.00164177,
        0.00172321,
        0.001748,
        0.00170515,
        0.0016168,
        0.00156678,
        0.00149688,
        0.00155254,
        0.00164292,
        0.00172248,
        0.00192922,
        0.00197763,
        0.00196676,
        0.00200937,
        0.00218125,
        0.00247177,
        0.0022641,
        0.00232244,
        0.00245856,
        0.00243055,
        0.00247641,
        0.00325816,
        0.00344542,
        null,
        0.00336602,
        0.00282892,
        0.00254123,
        0.00242282,
        0.00231472,
        0.0020617,
        0.00199493,
        0.00187666,
        0.00171235,
        0.00166805,
        0.00186845,
        0.00185626,
        0.00176129,
        0.00169686,
        0.0017663,
        0.00182581,
        0.00181278,
        0.00181404,
        0.00176248,
        0.00147499,
        0.00188399,
        0.00185109,
        0.00167099,
        0.00155724,
        0.00165648,
        0.00150468,
        0.00136584,
        0.001306,
        0.00133317,
        0.00139625,
        0.00129374,
        0.00131248,
        0.00135968,
        0.00139057,
        0.00141674,
        0.00148107,
        0.00144023,
        0.00137697,
        0.00133527,
        0.00130806,
        0.00131548,
        0.00137028,
        0.00124398,
        0.00105523,
        0.00131578,
        0.00122854,
        0.00135491,
        0.00138359,
        0.00124252,
        0.00116422,
        0.00124253,
        0.00131035,
        0.00131695,
        0.00126626,
        0.00123226,
        0.00118587,
        0.00119235,
        0.00124348,
        0.0013107,
        0.00134468,
        0.00124254,
        0.00119983,
        0.00117441,
        0.00115518,
        0.00117897,
        0.00110613,
        0.00117199,
        0.00118316,
        0.00109124,
        0.00107687,
        0.0011771,
        0.00126131,
        0.00130942,
        0.0012911,
        0.00115427,
        0.00117313,
        0.00110307,
        0.00106996,
        0.00114259,
        0.00130163,
        0.00125027,
        0.00124783,
        0.00119797,
        0.00109471,
        0.00106043,
        0.00118337,
        0.00118592,
        0.00110461,
        0.0010317,
        0.00113316,
        0.0013155,
        0.00133238,
        0.00129756,
        0.00125492,
        0.00113266,
        0.00107702,
        0.00115192,
        0.00125643,
        0.00127091,
        0.00104426,
        0.0011582,
        0.00120799,
        0.00119294,
        0.00115705,
        0.00118131,
        0.00133269,
        0.00128218,
        0.00115484,
        0.00107567,
        0.00116705,
        0.00106951,
        0.00111811,
        0.0012194,
        0.00128397,
        0.0012397,
        0.00120792,
        0.0011487,
        0.00112917,
        0.00116398,
        0.00120079,
        0.00110935,
        0.00114165,
        0.00115627,
        0.00116228,
        0.00133836,
        0.00114762,
        0.00124208,
        0.00123395,
        0.00110389,
        0.00120337,
        0.00122461,
        0.00121881,
        0.00136379,
        0.00156185,
        0.00143361,
        0.00135826,
        0.00130137,
        0.00121345,
        0.00112922,
        0.00116196,
        0.00114937,
        0.00110087,
        0.0011592,
        0.00127831,
        0.0012586,
        0.00116941,
        0.00118409,
        0.00120978,
        0.00122647,
        0.0012718,
        0.00129091,
        0.00127166,
        0.00126784,
        0.00129155,
        0.00131933,
        0.00126108,
        0.00129671,
        0.00131479,
        0.0013078,
        0.00133569,
        0.00136438,
        0.00149683,
        0.00159423,
        0.00156625,
        0.00138424,
        0.00170286,
        0.00159804,
        0.00157452,
        0.00166542,
        0.00168088,
        0.00176408,
        0.00176427,
        0.00177477,
        0.00189296,
        0.00217659,
        0.00214018,
        0.00241746,
        0.00278814,
        null,
        0.00318417,
        0.00312953,
        0.00269329,
        0.00240416,
        0.00223885,
        0.00211476,
        0.00203397,
        0.0017524,
        0.00175873,
        0.00185482,
        0.00183269,
        0.00168858,
        0.00178352,
        0.00162144,
        0.0014765,
        0.00155621,
        0.00173684,
        0.00155697,
        0.00135564,
        0.00132713,
        0.00147262,
        0.00145996,
        0.00142803,
        0.00140702,
        0.00137411,
        0.00131987,
        0.00126173,
        0.00137748,
        0.00141153,
        0.00134572,
        0.00127084,
        0.00141051,
        0.00142323,
        0.00142288,
        0.00134693,
        0.00127286,
        0.0014329,
        0.00137667,
        0.00128856,
        0.0013294,
        0.00142683,
        0.00131456,
        0.00133179,
        0.00140707,
        0.00149439,
        0.00148928,
        0.00126677,
        0.00131058,
        0.00133118,
        0.00128918,
        0.00121967,
        0.00120455,
        0.00129984,
        0.00124127,
        0.00118591,
        0.00121685,
        0.00135096,
        0.00127269,
        0.0014927,
        0.00156838,
        0.00155657,
        0.00167426,
        0.00170469,
        0.00167225,
        0.00159584,
        0.00151634,
        0.00145742,
        0.00128402,
        0.00132976,
        0.00127457,
        0.00119163,
        0.00122016,
        0.00136336,
        0.00123477,
        0.00117159,
        0.00120634,
        0.00127147,
        0.00113941,
        0.00109301,
        0.0012102,
        0.00131053,
        0.0012927,
        0.00136034,
        0.00127422,
        0.00116328,
        0.00113634,
        0.00122417,
        0.00129074,
        0.001322,
        0.00125839,
        0.00113945,
        0.00105799,
        0.00119161,
        0.00116596,
        0.00112126,
        0.00117958,
        0.00134199,
        0.0014634,
        0.0013823,
        0.001355,
        0.00141769,
        0.00155289,
        0.00169459,
        0.00170445,
        0.0017954,
        0.00171184,
        0.00151908,
        0.00150948,
        0.00136652,
        0.0013459,
        0.0012939,
        0.00122298,
        0.00122538,
        0.0010928,
        0.00114822,
        0.00113845,
        0.00111879,
        0.00123308,
        0.00121361,
        0.00125235,
        0.00129822,
        0.00131892,
        0.00130711,
        0.00136932,
        0.00126405,
        0.00123704,
        0.00123897,
        0.00118235,
        0.00114199,
        0.00120991,
        0.00119138,
        0.00112129,
        0.00108262,
        0.00119505,
        0.00137851,
        0.00138862,
        0.00132558,
        0.00127351,
        0.0011761,
        0.00119214,
        0.00124014,
        0.00124693,
        0.00121311,
        0.00125927,
        0.00125224,
        0.00120829,
        0.00121373,
        0.00128361,
        0.001321,
        0.00129341,
        0.00129562,
        0.00125234,
        0.00118497,
        0.00122844,
        0.0012829,
        0.00113547,
        0.00111207,
        0.00111815,
        0.0011931,
        0.00122332,
        0.00122409,
        0.00124663,
        0.00121866,
        0.00114149,
        0.00112768,
        0.00106716,
        0.00111622,
        0.0011444,
        0.00117017,
        0.00114666,
        0.00132094,
        0.00124855,
        0.00121727,
        0.0012232,
        0.0011214,
        0.00117902,
        0.00112599,
        0.00111851,
        0.00118909,
        0.00121609,
        0.00117997,
        0.00117167,
        0.00119766,
        0.00124882,
        0.00132694,
        0.0013017,
        0.00136365,
        0.00133014,
        0.00123091,
        0.00123174,
        0.00113345,
        0.00114768,
        0.00120708,
        0.0012769,
        0.00132527,
        0.00115262,
        0.00113712,
        0.00122254,
        0.00127203,
        0.00115279,
        0.00131098,
        0.00125773,
        0.00121401,
        0.00121628,
        0.00123122,
        0.00129509,
        0.00123685,
        0.00119825,
        0.00116292,
        0.00116462,
        0.00127109,
        0.001263,
        0.00123617,
        0.00118543,
        0.00119021,
        0.00126857,
        0.00120085,
        0.00116813,
        0.00119459,
        0.00130529,
        0.00122712,
        0.00128572,
        0.00130095,
        0.00133002,
        0.00137625,
        0.00136936,
        0.00138326,
        0.00138699,
        0.00131103,
        0.00136581,
        0.00124062,
        0.00129303,
        0.00131658,
        0.00131287,
        0.00120291,
        0.00135623,
        0.00143909,
        0.00144894,
        0.00137211,
        0.00136037,
        0.00137389,
        0.00143172,
        0.00148374,
        0.00164382,
        0.00186405,
        0.0023279,
        0.00261491,
        0.00365516,
        0.00336791,
        0.00246484,
        0.00192627,
        0.00171899,
        0.00160229,
        0.00151872,
        0.00142605,
        0.00142528,
        0.00135846,
        0.00131397,
        0.00120146,
        0.00122229,
        0.00118838,
        0.00123485,
        0.0013204,
        0.00134527,
        0.0013491,
        0.00128548,
        0.0013325,
        0.00138879,
        0.00137666,
        0.00127279,
        0.00120441,
        0.0013014,
        0.00139676,
        0.0012692,
        0.00127542,
        0.00128199,
        0.00132723,
        0.00134488,
        0.00126825,
        0.00132017,
        0.00137551,
        0.00146447,
        0.00147303,
        0.00137548,
        0.00135982,
        0.00141261,
        0.00134541,
        0.0013106,
        0.00146314,
        0.00163517,
        0.00162909,
        0.00189161,
        0.00228827,
        0.00261525,
        null,
        0.00267593,
        0.00214617,
        0.00193423,
        0.00186335,
        0.00176508,
        0.00182107,
        0.00182751,
        0.00168766,
        0.00152974,
        0.00152072,
        0.0016561,
        0.00156829,
        0.00146696,
        0.00141758,
        0.00143461,
        0.00150721,
        0.00149931,
        0.00155047,
        0.00163981,
        0.00171855,
        0.00184131,
        0.00182277,
        0.00185987,
        0.0020374,
        0.00231905,
        0.00214088,
        0.00223785,
        0.00220148,
        0.00230889,
        0.00283493,
        0.00298172,
        0.00338515,
        null,
        null,
        0.00295804,
        0.00272313,
        0.00307821,
        0.00347099,
        0.00250612,
        0.00237044,
        0.00207908,
        0.00195321,
        0.00194349,
        0.00191543,
        0.00177255,
        0.00158005,
        0.00166155,
        0.00182814,
        0.00182597,
        0.00161455,
        0.00162235,
        0.00146122,
        0.00150864,
        0.00155666,
        0.00153004,
        0.00160331,
        0.00149088,
        0.00131595,
        0.00126668,
        0.00136914,
        0.00147074,
        0.0013468,
        0.00126977,
        0.00132203,
        0.0014307,
        0.00142191,
        0.00154311,
        0.00150741,
        0.00150044,
        0.00148747,
        0.00136215,
        0.00145185,
        0.00141754,
        0.0015833,
        0.00173009,
        0.00156942,
        0.00162801,
        0.00163956,
        0.00186552,
        0.00219858,
        0.00247916,
        0.00265171,
        null,
        0.00269122,
        0.00229848,
        0.00227204,
        0.00212448,
        0.00188899,
        0.00177334,
        0.00181571,
        0.00172338,
        0.00162177,
        0.00150613,
        0.0014666,
        0.00140419,
        0.00143374,
        0.00149629,
        0.00146726,
        0.00132863,
        0.00127966,
        0.0013427,
        0.00129816,
        0.00124564,
        0.00120293,
        0.00114374,
        0.00121558,
        0.00126557,
        0.00124926,
        0.00120413,
        0.00119019,
        0.00123211,
        0.00126402,
        0.00122932,
        0.00121845,
        0.00126506,
        0.00126782,
        0.00127646,
        0.00124551,
        0.00131579,
        0.0013677,
        0.00130525,
        0.00125399,
        0.00113513,
        0.00110899,
        0.00116004,
        0.00116172,
        0.00117118,
        0.00116706,
        0.00112772,
        0.00120985,
        0.00124628,
        0.00116541,
        0.00118661,
        0.00118427,
        0.00119731,
        0.00124013,
        0.00116909,
        0.00107678,
        0.00116274,
        0.00121387,
        0.00121496,
        0.00122512,
        0.00121657,
        0.00119813,
        0.00121995,
        0.00123237,
        0.00125333,
        0.00118825,
        0.00116509,
        0.00116286,
        0.00124706,
        0.0012527,
        0.0012736,
        0.00132344,
        0.00131128,
        0.00125803,
        0.00134482,
        0.00153846,
        0.00166462,
        0.0017482,
        0.00186738,
        0.00197056,
        0.00171943,
        0.00156834,
        0.00143567,
        0.00129276,
        0.00131768,
        0.00117648,
        0.00116806,
        0.00119784,
        0.00111903,
        0.0011616,
        0.00116725,
        0.0011553,
        0.0011655,
        0.00121221,
        0.00120065,
        0.00113284,
        0.00118103,
        0.00117448,
        0.00117983,
        0.00116407,
        0.00128816,
        0.00128392,
        0.00129387,
        0.00129181,
        0.00125224,
        0.00124495,
        0.00118785,
        0.00114088,
        0.00111934,
        0.0011001,
        0.00115196,
        0.00122334,
        0.00119375,
        0.00117802,
        0.00119042,
        0.00128602,
        0.00128321,
        0.00116766,
        0.00103873,
        0.00103172,
        0.00104949,
        0.00110197,
        0.00118068,
        0.00104486,
        0.00110784,
        0.00121042,
        0.00118643,
        0.00118396,
        0.00119547,
        0.00118734,
        0.00118282,
        0.00130628,
        0.00122574,
        0.00119638,
        0.00118069,
        0.00115326,
        0.00111916,
        0.00123113,
        0.0012988,
        0.00120871,
        0.0011363,
        0.00112644,
        0.00112228,
        0.00114723,
        0.00116799,
        0.00119045,
        0.00120447,
        0.00121894,
        0.00142102,
        0.00153938,
        0.00148493,
        0.00130697,
        0.00120966,
        0.00115832,
        0.00119994,
        0.00120337,
        0.00113524,
        0.00108797,
        0.00115784,
        0.00112606,
        0.00111951,
        0.00116816,
        0.0011971,
        0.00112733,
        0.00111749,
        0.00115182,
        0.00115319,
        0.00114819,
        0.00119908,
        0.00117819,
        0.00113807,
        0.0011408,
        0.00113294,
        0.00114087,
        0.00109047,
        0.00116047,
        0.00117891,
        0.00115249,
        0.00113243,
        0.00128566,
        0.00122758,
        0.0012113,
        0.00126154,
        0.00125658,
        0.00127085,
        0.00120208,
        0.00124184,
        0.00120127,
        0.00128193,
        0.00134251,
        0.00151056,
        0.00155697,
        0.00164587,
        0.0017736,
        0.00174832,
        0.00160968,
        0.00150199,
        0.00153241,
        0.00151223,
        0.0014603,
        0.00145884,
        0.00144955,
        0.00131889,
        0.00120846,
        0.0012198,
        0.00116246,
        0.00108932,
        0.00111199,
        0.00117864,
        0.00116458,
        0.00111774,
        0.00115181,
        0.00114006,
        0.00105702,
        0.00104197,
        0.00108431,
        0.00105406,
        0.00109347,
        0.00109398,
        0.0011531,
        0.00115395,
        0.00111075,
        0.00116237,
        0.00114752,
        0.00116298,
        0.00117029,
        0.00107675,
        0.00104108,
        0.00109073,
        0.00118647,
        0.00124456,
        0.00109782,
        0.000980318,
        0.00100941,
        0.00112264,
        0.00116965,
        0.00117182,
        0.00107554,
        0.00106102,
        0.00111766,
        0.00108608,
        0.00104664,
        0.001088,
        0.00110392,
        0.00108883,
        0.00106288,
        0.00104636,
        0.00106173,
        0.00110018,
        0.00107675,
        0.00105037,
        0.00106014,
        0.00107812,
        0.00109449,
        0.00110685,
        0.00113472,
        0.00115018,
        0.00110811,
        0.00113585,
        0.00111599,
        0.0010883,
        0.00107279,
        0.00109591,
        0.00112716,
        0.00113082,
        0.00114808,
        0.00111491,
        0.0010335,
        0.00109794,
        0.00112084,
        0.00109198,
        0.00109139,
        0.00113306,
        0.00113142,
        0.00115584,
        0.00111839,
        0.0011228,
        0.00114121,
        0.00108961,
        0.0011206,
        0.0010871,
        0.00108653,
        0.00111765,
        0.00115238,
        0.00112354,
        0.00111043,
        0.00108987,
        0.00105784,
        0.00101991,
        0.00102092,
        0.00100927,
        0.00101348,
        0.0010182,
        0.00107168,
        0.00110602,
        0.00118582,
        0.00117431,
        0.0011786,
        0.00125591,
        0.00143849,
        0.00146385,
        0.00137437,
        0.00141699,
        0.0013017,
        0.00121472,
        0.0012786,
        0.00142779,
        0.00155807,
        0.00148435,
        0.00151419,
        0.00137377,
        0.0012419,
        0.00125662,
        0.00124678,
        0.0011786,
        0.00111337,
        0.00107444,
        0.0010984,
        0.00103734,
        0.00106773,
        0.00110044,
        0.00116102,
        0.00111866,
        0.00106095,
        0.0010505,
        0.00107799,
        0.00107975,
        0.00108024,
        0.00121554,
        0.00132421,
        0.00125294,
        0.00123002,
        0.00116931,
        0.00122224,
        0.00122948,
        0.00122896,
        0.00116568,
        0.0011348,
        0.00108977,
        0.00120806,
        0.00125645,
        0.00118039,
        0.00125555,
        0.00127782,
        0.00122332,
        0.00120198,
        0.00125845,
        0.00140029,
        0.00144754,
        0.0016024,
        0.00185873,
        0.00174411,
        0.00185814,
        0.0021959,
        0.00238365,
        null,
        0.00186597,
        0.00188654,
        0.001673,
        0.00170046,
        0.00148934,
        0.00141121,
        0.00137674,
        0.00127914,
        0.0012214,
        0.00127552,
        0.00127006,
        0.00122072,
        0.00119675,
        0.00127104,
        0.00128407,
        0.00125441,
        0.00119296,
        0.00116166,
        0.00118176,
        0.00111696,
        0.00119814,
        0.00122004,
        0.00127173,
        0.00132254,
        0.00153226,
        0.00157893,
        0.00152261,
        0.00166239,
        0.00196911,
        0.00204174,
        0.00189508,
        0.00171132,
        0.00160227,
        0.00149327,
        0.00134668,
        0.00119335,
        0.00107134,
        0.00102955,
        0.00104948,
        0.00106761,
        0.00104774,
        0.000915599,
        0.00105304,
        0.00111589,
        0.00108344,
        0.00106313,
        0.00102172,
        0.00101283,
        0.00101478,
        0.00102819,
        0.00106314,
        0.00110455,
        0.00108271,
        0.00105039,
        0.0010118,
        0.000968568,
        0.00100055,
        0.00100396,
        0.00103067,
        0.00101855,
        0.00097979,
        0.000964042,
        0.00101212,
        0.00102958,
        0.00105111,
        0.00111159,
        0.00113329,
        0.00110461,
        0.00102553,
        0.00102382,
        0.00110638,
        0.00125312,
        0.00122839,
        0.00140805,
        0.00144674,
        0.00143885,
        0.00125179,
        0.00116823,
        0.00111395,
        0.00106482,
        0.0010842,
        0.00105015,
        0.0010359,
        0.00103375,
        0.00114373,
        0.00114073,
        0.0011253,
        0.00112941,
        0.00107054,
        0.00100781,
        0.000962499,
        0.00102538,
        0.00100525,
        0.000999131,
        0.00105935,
        0.000980995,
        0.000963409,
        0.000980697,
        0.00104101,
        0.00100727,
        0.00101719,
        0.0010055,
        0.00100232,
        0.000964673,
        0.00104025,
        0.00106128,
        0.00108591,
        0.0010641,
        0.00104812,
        0.00106857,
        0.0010397,
        0.00102162,
        0.00103386,
        0.00108057,
        0.00108835,
        0.00117602,
        0.00104291,
        0.00106414,
        0.00107262,
        0.00107578,
        0.00114739,
        0.00117445,
        0.00115045,
        0.00113452,
        0.00118727,
        0.00116261,
        0.00105264,
        0.0011222,
        0.00111412,
        0.00111099,
        0.00110178,
        0.00108171,
        0.00107748,
        0.00110274,
        0.00107511,
        0.0010386,
        0.00104242,
        0.00109946,
        0.0011173,
        0.00101689,
        0.000956893,
        0.000977516,
        0.0010496,
        0.0010304,
        0.00104142,
        0.0010844,
        0.00109146,
        0.00107195,
        0.00108098,
        0.00110814,
        0.00104534,
        0.00104484,
        0.00106608,
        0.00110655,
        0.00101075,
        0.00106017,
        0.00108443,
        0.00111084,
        0.00111165,
        0.00110835,
        0.00107962,
        0.00108377,
        0.00108272,
        0.00109339,
        0.00112041,
        0.00105408,
        0.00108058,
        0.00107309,
        0.00109171,
        0.00111142,
        0.00109732,
        0.00113766,
        0.00105601,
        0.00105767,
        0.00110779,
        0.00113698,
        0.00115419,
        0.00112269,
        0.00109935,
        0.00111437,
        0.0011574,
        0.00104838,
        0.00112559,
        0.0012004,
        0.00120309,
        0.00117307,
        0.00117579,
        0.00122739,
        0.00116503,
        0.00111864,
        0.00116921,
        0.00118494,
        0.00115353,
        0.00111015,
        0.00111003,
        0.00118636,
        0.00112984,
        0.0011168,
        0.00118418,
        0.00109957,
        0.00106065,
        0.00113411,
        0.00119681,
        0.0011948,
        0.00116248,
        0.0011911,
        0.0011809,
        0.00108217,
        0.00110796,
        0.00107888,
        0.00107838,
        0.00111672,
        0.00111213,
        0.00111117,
        0.00109354,
        0.00112225,
        0.00111703,
        0.00105869,
        0.00106855,
        0.00117582,
        0.00112157,
        0.00116016,
        0.00115655,
        0.00113982,
        0.00110961,
        0.00122227,
        0.00128495,
        0.00121967,
        0.00113806,
        0.0010878,
        0.0010919,
        0.00111545,
        0.00117789,
        0.00118115,
        0.00112738,
        0.001134,
        0.00112496,
        0.00109146,
        0.00115284,
        0.0011982,
        0.00119905,
        0.00114127,
        0.001072,
        0.00119831,
        0.00127843,
        0.00127101,
        0.00123097,
        0.00118292,
        0.00121554,
        0.00122962,
        0.00118279,
        0.00110239,
        0.00105456,
        0.00113338,
        0.00124026,
        0.00127003,
        0.00125064,
        0.00124908,
        0.0013641,
        0.00127449,
        0.00130714,
        0.00135938,
        0.00137137,
        0.00138689,
        0.00133052,
        0.00133951,
        0.00150254,
        0.00157461,
        0.00153533,
        0.00164778,
        0.00196344,
        0.00213549,
        0.00241361,
        0.00279564,
        null,
        0.00230482,
        0.00195016,
        0.00181378,
        0.00174645,
        0.00162622,
        0.00150826,
        0.00153152,
        0.0014299,
        0.00129655,
        0.0012743,
        0.00123628,
        0.00120047,
        0.00120828,
        0.00116859,
        0.00121903,
        0.00125492,
        0.00121225,
        0.0012509,
        0.001243,
        0.00115181,
        0.00108699,
        0.00112855,
        0.001148,
        0.00118174,
        0.00117117,
        0.00118591,
        0.00120841,
        0.00123699,
        0.00117313,
        0.00111402,
        0.00108711,
        0.00109485,
        0.0011716,
        0.00117499,
        0.00116213,
        0.00114045,
        0.00109861,
        0.00108679,
        0.00105208,
        0.00102939,
        0.00101141,
        0.00117592,
        0.0011824,
        0.00115292,
        0.00113273,
        0.00111945,
        0.00117834,
        0.00122047,
        0.00125754,
        0.00128414,
        0.00128626,
        0.00119167,
        0.00112942,
        0.00106627,
        0.00110708,
        0.00109405,
        0.00104804,
        0.00112168,
        0.00114259,
        0.00112896,
        0.00109455,
        0.00107994,
        0.0010852,
        0.00104968,
        0.00104245,
        0.0009887,
        0.0010427,
        0.00109575,
        0.00105006,
        0.00113828,
        0.00106571,
        0.00104969,
        0.00110487,
        0.00117825,
        0.00118585,
        0.00129027,
        0.00121588,
        0.00113793,
        0.00109881,
        0.00108842,
        0.0010549,
        0.00111479,
        0.00112077,
        0.00110588,
        0.00113266,
        0.00114921,
        0.00115244,
        0.00119096,
        0.00117474,
        0.00125543,
        0.00125728,
        0.00118326,
        0.00121036,
        0.00106692,
        0.00108261,
        0.00118765,
        0.00122561,
        0.00117437,
        0.00118868,
        0.0012874,
        0.00114478,
        0.00112732,
        0.00118698,
        0.00120158,
        0.00110448,
        0.00104422,
        0.00115708,
        0.00115454,
        0.00110536,
        0.00110326,
        0.00109874,
        0.0010925,
        0.0010418,
        0.00101983,
        0.00100346,
        0.000952838,
        0.000873731,
        0.00104144,
        0.00111437,
        0.00113311,
        0.00107424,
        0.000995607,
        0.00120552,
        0.00111768,
        0.00107293,
        0.00113308,
        0.00122862,
        0.00124901,
        0.00115316,
        0.00124029,
        0.00125521,
        0.00123592,
        0.00126503,
        0.00141176,
        0.00164651,
        0.00176118,
        0.00181651,
        0.00219465,
        0.00242132,
        0.0020909,
        0.00186916,
        0.00164094,
        0.0015282,
        0.00155417,
        0.0012575,
        0.0012508,
        0.00125373,
        0.00120908,
        0.00129624,
        0.00121415,
        0.00117233,
        0.00110842,
        0.00113036,
        0.00116952,
        0.00103119,
        0.00104806,
        0.00118087,
        0.00126337,
        0.00122608,
        0.00116008,
        0.00124612,
        0.00111821,
        0.00110979,
        0.00109352,
        0.00110836,
        0.00115825,
        0.0011609,
        0.000989183,
        0.000979774,
        0.00109529,
        0.00112412,
        0.00103953,
        0.00107101,
        0.00124363,
        0.00108872,
        0.000990919,
        0.00103895,
        0.00112393,
        0.00101306,
        0.00100972,
        0.00109207,
        0.00107987,
        0.00103177,
        0.0010354,
        0.00110785,
        0.000961943,
        0.00104605,
        0.00113538,
        0.00117382,
        0.00116634,
        0.00114161,
        0.00120026,
        0.00115261,
        0.00115255,
        0.00113201,
        0.00107003,
        0.00110131,
        0.000953098,
        0.000932881,
        0.00106463,
        0.00118618,
        0.0011641,
        0.0010234,
        0.00100943,
        0.000920667,
        0.000948321,
        0.00103804,
        0.00107574,
        0.00100259,
        0.00114628,
        0.00107842,
        0.00107513,
        0.00111305,
        0.00109089,
        0.000958181,
        0.000976994,
        0.00105163,
        0.00105056,
        0.00104296,
        0.00106432,
        0.000997485,
        0.000837045,
        0.000979354,
        0.00109343,
        0.00113425,
        0.00113932,
        0.00111406,
        0.00100574,
        0.000976665,
        0.00107188,
        0.00113761,
        0.00109544,
        0.0010821,
        0.000977046,
        0.00130414,
        0.00149796,
        0.00164968,
        0.00176838,
        0.00148027,
        0.00123018,
        0.00110701,
        0.00106751,
        0.00107681,
        0.00111376,
        0.00117647,
        0.00130647,
        0.00113417,
        0.00112131,
        0.0011501,
        0.00114372,
        0.00130074,
        0.00160559,
        0.00149506,
        0.00129275,
        0.00116039,
        0.00113667,
        0.00115525,
        0.00121857,
        0.00114985,
        0.00116347,
        0.00122482,
        0.00125598,
        0.00122382,
        0.00118278,
        0.00119618,
        0.00109717,
        0.00101594,
        0.00100723,
        0.000973662,
        0.00108621,
        0.00109191,
        0.00109845,
        0.00114977,
        0.00120149,
        0.00115794,
        0.00115856,
        0.0012465,
        0.00123031,
        0.00113062,
        0.00106901,
        0.00118035,
        0.00122821,
        0.00121604,
        0.00117512,
        0.00113426,
        0.00109705,
        0.00106645,
        0.00121144,
        0.00129038,
        0.00117803,
        0.00106853,
        0.00107531,
        0.00115301,
        0.00113489,
        0.0011989,
        0.00120734,
        0.00120707,
        0.00120164,
        0.0011638,
        0.00118086,
        0.00134957,
        0.00137627,
        0.00130492,
        0.00130011,
        0.00145516,
        0.00138206,
        0.00182417,
        0.00257928,
        0.00248014,
        0.00197055,
        0.0016809,
        0.00172277,
        0.0019049,
        0.00161492,
        0.00164602,
        0.00184129,
        0.0019243,
        0.00179584,
        0.00189194,
        0.00240164,
        0.00224907,
        0.00238034,
        0.00262055,
        null,
        0.00165765,
        0.00180893,
        0.00178762,
        0.00182567,
        0.00200102,
        0.00186924,
        0.0018484,
        0.00223494,
        0.00227887,
        0.00206415,
        0.00184769,
        0.00175869,
        0.00191082,
        0.00177429,
        0.00159702,
        0.001636,
        0.00177565,
        0.00162315,
        0.00174801,
        0.00162658,
        0.00146024,
        0.00138838,
        0.00137329,
        0.00130082,
        0.00136632,
        0.00141933,
        0.0014167,
        0.00142044,
        0.00137428,
        0.00125907,
        0.00151499,
        0.00155954,
        0.00161746,
        0.0016812,
        0.00173555,
        0.0017505,
        0.00165567,
        0.00151232,
        0.00129868,
        0.00169409,
        0.00196112,
        0.00157623,
        0.00147988,
        0.00143544,
        0.00144443,
        0.00133967,
        0.00136951,
        0.00156561,
        0.00154529,
        0.00146236,
        0.00140069,
        0.00137644,
        0.00135295,
        0.00133468,
        0.00134572,
        0.00127349,
        0.00141374,
        0.00153236,
        0.00154734,
        0.00155022,
        0.00173493,
        0.00184615,
        0.0019428,
        0.00205128,
        0.00226325,
        null,
        0.00288638,
        0.00259728,
        0.00230889,
        0.00202868,
        0.00184046,
        0.00178844,
        0.00174614,
        0.00165684,
        0.00159969,
        0.00159553,
        0.00139514,
        0.00133308,
        0.00133432,
        0.00132499,
        0.00133397,
        0.00137018,
        0.00131521,
        0.00136635,
        0.00130585,
        0.00125063,
        0.00124068,
        0.00135221,
        0.00143594,
        0.00151018,
        0.00177837,
        0.00219024,
        0.00282597,
        0.00229269,
        0.00194133,
        0.00166469,
        0.00152819,
        0.00153938,
        0.00140227,
        0.00125786,
        0.00129411,
        0.00122087,
        0.00121578,
        0.00129518,
        0.00125463,
        0.00125476,
        0.00124383,
        0.00114791,
        0.0012203,
        0.00129465,
        0.0013675,
        0.00131972,
        0.00137716,
        0.00167376,
        0.00204681,
        0.00272926,
        0.00196434,
        0.00170449,
        0.0015828,
        0.00137496,
        0.0013465,
        0.00131417,
        0.00122822,
        0.00120231,
        0.001176,
        0.0012598,
        0.00119361,
        0.00114711,
        0.00111719,
        0.00109429,
        0.00105675,
        0.00119637,
        0.00110492,
        0.00116086,
        0.00127733,
        0.00137479,
        0.00143892,
        0.00147168,
        0.00175399,
        0.00289148,
        0.00260206,
        0.00218533,
        0.00169376,
        0.00146641,
        0.00137172,
        0.00127615,
        0.00127147,
        0.00116549,
        0.00112088,
        0.00113533,
        0.0011766,
        0.00119905,
        0.00114908,
        0.00112353,
        0.00118399,
        0.00113799,
        0.00107595,
        0.00111536,
        0.00111973,
        0.00107609,
        0.0010394,
        0.00107547,
        0.00116361,
        0.00122129,
        0.00112839,
        0.00104547,
        0.00102784,
        0.00100276,
        0.000975006,
        0.000990236,
        0.00104448,
        0.00109873,
        0.00114063,
        0.00111145,
        0.0010621,
        0.00109246,
        0.00116171,
        0.00122948,
        0.00128493,
        0.00129274,
        0.0012708,
        0.00131535,
        0.00170007,
        0.00177983,
        0.00176287,
        0.00159371,
        0.00136968,
        0.00128779,
        0.00111488,
        0.00105894,
        0.00100389,
        0.000994398,
        0.00103547,
        0.00107436,
        0.00118383,
        0.00107955,
        0.00109276,
        0.00110256,
        0.00107673,
        0.00116589,
        0.00129686,
        0.00144377,
        0.00140592,
        0.0013157,
        0.00126657,
        0.00120855,
        0.00116569,
        0.00130269,
        0.00142099,
        0.00133366,
        0.001098,
        0.00106469,
        0.00112032,
        0.0011886,
        0.00113744,
        0.00108452,
        0.00107922,
        0.000970357,
        0.00101631,
        0.00096564,
        0.000963039,
        0.00101532,
        0.00106715,
        0.00104728,
        0.00101585,
        0.00103431,
        0.000998632,
        0.000951104,
        0.000954709,
        0.00100172,
        0.00107638,
        0.00112358,
        0.00113978,
        0.00113692,
        0.00112453,
        0.00109806,
        0.00102594,
        0.00116944,
        0.00118327,
        0.00113162,
        0.00116041,
        0.0011938,
        0.00104199,
        0.00115173,
        0.00116541,
        0.0010982,
        0.00109941,
        0.00123079,
        0.00120239,
        0.00112539,
        0.00107484,
        0.00110716,
        0.00120448,
        0.00119407,
        0.00117936,
        0.00125006,
        0.00135178,
        0.00139978,
        0.00136313,
        0.00137654,
        0.00172197,
        0.00204904,
        0.00218322,
        0.00239519,
        0.00253721,
        0.00216899,
        0.00202833,
        0.00179233,
        0.00139863,
        0.00147147,
        0.00144034,
        0.00136385,
        0.00132265,
        0.0012862,
        0.00122517,
        0.00128227,
        0.00111255,
        0.0011741,
        0.00116513,
        0.00109936,
        0.00111039,
        0.00111334,
        0.00120046,
        0.00109336,
        0.00105609,
        0.00113123,
        0.00120259,
        0.00110662,
        0.00116349,
        0.00112298,
        0.00106137,
        0.00105725,
        0.00113686,
        0.00122537,
        0.0011915,
        0.00118426,
        0.0011752,
        0.00117371,
        0.00118007,
        0.00109822,
        0.0010593,
        0.001107,
        0.00113754,
        0.00115572,
        0.00117834,
        0.00108565,
        0.00122094,
        0.00132014,
        0.00130111,
        0.00124317,
        0.00125954,
        0.00134216,
        0.00131242,
        0.00128268,
        0.00117483,
        0.00115393,
        0.00132879,
        0.00138768,
        0.00123234,
        0.0010823,
        0.00107549,
        0.00125299,
        0.00143378,
        0.00109519,
        0.00129322,
        0.00162713,
        0.00160704,
        0.00154812,
        0.00170762,
        0.00133563,
        0.00162598,
        0.00147951,
        0.00151645,
        0.00166844,
        0.00173901,
        0.00193007,
        0.00208632,
        0.00234449,
        0.00234758,
        0.00221077,
        0.00225242,
        0.00275643,
        0.0025122,
        null,
        0.0025432,
        0.00236777,
        0.00239944,
        0.00235102,
        0.00225991,
        0.00231231,
        0.00234887,
        0.00188064,
        0.00190921,
        0.0018322,
        0.00173759,
        0.00187525,
        0.00172282,
        0.0014742,
        0.00156547,
        0.00146342,
        0.0013546,
        0.00149729,
        0.00146127,
        0.00156534,
        0.00149572,
        0.00144019,
        0.00137699,
        0.00125945,
        0.00118633,
        0.00147191,
        0.00135811,
        0.00120441,
        0.00120108,
        0.00136674,
        0.00155045,
        0.00144822,
        0.0014693,
        0.00148254,
        0.00147654,
        0.00147916,
        0.00152545,
        0.00161791,
        0.00173381,
        0.00230937,
        0.00308453,
        0.0029785,
        0.00212104,
        0.00193762,
        0.00159525,
        0.00145023,
        0.00147508,
        0.00171414,
        0.00157726,
        0.00158639,
        0.00156512,
        0.0014489,
        0.00141598,
        0.00133772,
        0.00127332,
        0.00126715,
        0.00119149,
        0.00123181,
        0.00119506,
        0.00117272,
        0.00117702,
        0.00119794,
        0.00118679,
        0.00126789,
        0.00133381,
        0.00131625,
        0.00121846,
        0.00112838,
        0.00114,
        0.00125994,
        0.00124533,
        0.00112361,
        0.00110235,
        0.00107521,
        0.0010291,
        0.00109774,
        0.00111574,
        0.00117607,
        0.00120451,
        0.00111947,
        0.00110777,
        0.00117837,
        0.00117547,
        0.00115622,
        0.00110781,
        0.00113302,
        0.00124617,
        0.00121485,
        0.00123062,
        0.00119029,
        0.00116458,
        0.00119976,
        0.00119398,
        0.00113845,
        0.00115211,
        0.00114014,
        0.00112876,
        0.00116168,
        0.00148366,
        0.00121065,
        0.00116083,
        0.00120429,
        0.00120763,
        0.00131676,
        0.00122726,
        0.00115945,
        0.00115708,
        0.00112142,
        0.00109496,
        0.00113227,
        0.00120499,
        0.00116427,
        0.00117243,
        0.00117678,
        0.00118672,
        0.00119701,
        0.00118013,
        0.00108577,
        0.00112023,
        0.00113529,
        0.00112823,
        0.0011274,
        0.00114441,
        0.00114607,
        0.00111714,
        0.00112224,
        0.00114608,
        0.00115067,
        0.00112534,
        0.00117168,
        0.00115439,
        0.00120334,
        0.00127547,
        0.00128334,
        0.00120471,
        0.00107246,
        0.00109863,
        0.00117652,
        0.00118091,
        0.00116788,
        0.00113941,
        0.0011856,
        0.00134314,
        0.00127261,
        0.00123738,
        0.00123377,
        0.00120995,
        0.00123325,
        0.00123454,
        0.00119129,
        0.00122143,
        0.00127192,
        0.00130274,
        0.00125466,
        0.00131949,
        0.00126636,
        0.00115341,
        0.00113196,
        0.00123736,
        0.0012509,
        0.0011153,
        0.00116896,
        0.00122571,
        0.0011799,
        0.00123219,
        0.00127997,
        0.00116236,
        0.00116108,
        0.00119246,
        0.00116602,
        0.00114693,
        0.00127682,
        0.00125651,
        0.00119856,
        0.0012407,
        0.00124536,
        0.00122988,
        0.00127171,
        0.00127275,
        0.0012011,
        0.00126533,
        0.00120474,
        0.00119521,
        0.00123026,
        0.00128492,
        0.00129757,
        0.00122663,
        0.00121094,
        0.00128172,
        0.00132606,
        0.00130329,
        0.0013069,
        0.00130852,
        0.00127259,
        0.00121911,
        0.00124746,
        0.00129039,
        0.00137631,
        0.00138224,
        0.00134007,
        0.00129376,
        0.00131655,
        0.00132829,
        0.00134236,
        0.00131823,
        0.0014376,
        0.00149862,
        0.00143178,
        0.00131878,
        0.00131676,
        0.00157878,
        0.00154738,
        0.00162946,
        0.00154714,
        0.00144319,
        0.00168803,
        0.00175538,
        0.00187854,
        0.00186731,
        0.00159779,
        0.00157448,
        0.001575,
        0.00159557,
        0.00173377,
        0.00179321,
        0.00187852,
        0.00193762,
        0.00205964,
        0.00237151,
        0.00265288,
        0.0029616,
        0.00384977,
        0.00418125,
        0.00377969,
        0.00344287,
        0.00306245,
        0.00288299,
        0.00303672,
        0.00328122,
        0.00376293,
        null,
        0.00277514,
        0.00276558,
        0.00266846,
        0.00255625,
        0.00242054,
        0.0023093,
        0.00224421,
        0.00231222,
        0.00206913,
        0.00190354,
        0.00205642,
        0.00191732,
        0.00175529,
        0.00179893,
        0.00189308,
        0.00176616,
        0.00189057,
        0.00174761,
        0.0017801,
        0.00180651,
        0.00169567,
        0.00160286,
        0.00169879,
        0.00156029,
        0.00155851,
        0.0017043,
        0.00175309,
        0.0017121,
        0.0016822,
        0.00175527,
        0.00175871,
        0.00170134,
        0.00187282,
        0.00194757,
        0.0020393,
        0.00231125,
        0.00277478,
        0.00267752,
        0.00242355,
        0.00227273,
        0.00208988,
        0.00186278,
        0.00173855,
        0.0016968,
        0.00158931,
        0.0018173,
        0.00159645,
        0.00156394,
        0.00153844,
        0.00144515,
        0.00143622,
        0.00143954,
        0.00142309,
        0.00144034,
        0.00130187,
        0.00128958,
        0.0012194,
        0.00121695,
        0.00126554,
        0.00123657,
        0.0011278,
        0.00121812,
        0.00111225,
        0.0012255,
        0.00122013,
        0.00115604,
        0.00114667,
        0.00120226,
        0.00112854,
        0.00116636,
        0.00116407,
        0.00122801,
        0.00126442,
        0.00121389,
        0.00117516,
        0.00108277,
        0.0010593,
        0.00111437,
        0.00119995,
        0.00119989,
        0.00106938,
        0.00108555,
        0.00110993,
        0.00119873,
        0.0012277,
        0.00113395,
        0.00113455,
        0.0012889,
        0.00127176,
        0.0013024,
        0.00131087,
        0.00136169,
        0.00135528,
        0.00131822,
        0.00131342,
        0.00132173,
        0.00121907,
        0.00119333,
        0.00133224,
        0.00135374,
        0.00123741,
        0.00115361,
        0.00126806,
        0.0013874,
        0.00122292,
        0.00133286,
        0.0013981,
        0.00136013,
        0.00132591,
        0.00130952,
        0.00129459,
        0.00129025,
        0.00120683,
        0.00126061,
        0.00132509,
        0.00106096,
        0.00111071,
        0.00104175,
        0.00101514,
        0.000949771,
        0.00101013,
        0.00106841,
        0.00115288,
        0.00114022,
        0.00110874,
        0.00119796,
        0.00110075,
        0.00107221,
        0.00109998,
        0.00112589,
        0.00114025,
        0.00114671,
        0.0011481,
        0.00115647,
        0.00116428,
        0.00110989,
        0.00108407,
        0.00116639,
        0.00117372,
        0.00110108,
        0.00110464,
        0.00113487,
        0.0011253,
        0.00109407,
        0.00112046,
        0.00107275,
        0.00112298,
        0.00107931,
        0.00119387,
        0.00126925,
        0.00124638,
        0.00117788,
        0.00121624,
        0.00135521,
        0.00136229,
        0.00127751,
        0.00119421,
        0.00119961,
        0.00104428,
        0.00110054,
        0.00106685,
        0.0011467,
        0.00115762,
        0.00107958,
        0.00109787,
        0.00109508,
        0.00109975,
        0.00119769,
        0.00115492,
        0.00111338,
        0.00113124,
        0.00115282,
        0.000984099,
        0.00115592,
        0.00124607,
        0.00133076,
        0.00128094,
        0.00120214,
        0.00105364,
        0.00122961,
        0.00118092,
        0.00118985,
        0.00122116,
        0.00129127,
        0.00128162,
        0.0013035,
        0.00116493,
        0.0010627,
        0.00116948,
        0.00122113,
        0.00129498,
        0.00137512,
        0.00120708,
        0.00121458,
        0.00119279,
        0.00121359,
        0.00115277,
        0.00114358,
        0.00115178,
        0.00112977,
        0.00113142,
        0.00109663,
        0.0010736,
        0.00101108,
        0.00102226,
        0.000954514,
        0.00100345,
        0.00111123,
        0.00113826,
        0.00111047,
        0.00112959,
        0.00112087,
        0.00111605,
        0.0011386,
        0.00112396,
        0.00111104,
        0.00109031,
        0.00114965,
        0.00109588,
        0.00106832,
        0.00108916,
        0.00106992,
        0.00105195,
        0.00101645,
        0.0010858,
        0.0011029,
        0.00113503,
        0.00115869,
        0.00114326,
        0.00113732,
        0.00123641,
        0.0011805,
        0.00110214,
        0.00109938,
        0.00114144,
        0.00114898,
        0.0011074,
        0.00114086,
        0.00116464,
        0.00112917,
        0.00113631,
        0.0011408,
        0.00109612,
        0.00103032,
        0.0010227,
        0.00108306,
        0.00111876,
        0.00109484,
        0.00104155,
        0.00109668,
        0.00112357,
        0.00109049,
        0.00115539,
        0.00110777,
        0.00110015,
        0.00112425,
        0.00112141,
        0.00123061,
        0.00110729,
        0.00106965,
        0.00113233,
        0.00120055,
        0.00116344,
        0.00125209,
        0.00114698,
        0.00115285,
        0.00117498,
        0.00112525,
        0.00112157,
        0.00118434,
        0.00112234,
        0.00115201,
        0.00128405,
        0.00120305,
        0.00110119,
        0.00118006,
        0.00118264,
        0.00127542,
        0.0011623,
        0.00113299,
        0.00117519,
        0.00116902,
        0.00111223,
        0.00111339,
        0.00112947,
        0.00113709,
        0.00109597,
        0.00111123,
        0.00111696,
        0.00114168,
        0.00113995,
        0.00117351,
        0.00116652,
        0.00120832,
        0.00128875,
        0.00121959,
        0.00121192,
        0.00126438,
        0.00128825,
        0.00128498,
        0.00134384,
        0.00141495,
        0.00157013,
        0.0015229,
        0.00157286,
        0.00171122,
        0.00174949,
        0.00156343,
        0.00131294,
        0.00134597,
        0.00148819,
        0.00141165,
        0.00125242,
        0.0012298,
        0.00132782,
        0.00125658,
        0.00128928,
        0.00126341,
        0.00118972,
        0.0013076,
        0.00134962,
        0.00134816,
        0.00136485,
        0.00136476,
        0.00137307,
        0.00134483,
        0.00132495,
        0.00141233,
        0.00155806,
        0.00135261,
        0.00139894,
        0.00140546,
        0.00133629,
        0.0012867,
        0.00121723,
        0.00118625,
        0.00121698,
        0.00123294,
        0.00116963,
        0.00117824,
        0.00127807,
        0.00125208,
        0.00116112,
        0.00116221,
        0.00120098,
        0.00121446,
        0.00119533,
        0.00119294,
        0.00119694,
        0.00122925,
        0.00120838,
        0.00114063,
        0.00125886,
        0.00126907,
        0.00123846,
        0.00127376,
        0.00121724,
        0.00124483,
        0.00119108,
        0.00116437,
        0.0011753,
        0.00122589,
        0.00120196,
        0.00125079,
        0.00129105,
        0.00131838,
        0.00134649,
        0.00139201,
        0.00127115,
        0.00131601,
        0.00131076,
        0.00132024,
        0.00127333,
        0.00122526,
        0.00120434,
        0.00120676,
        0.00125901,
        0.00131591,
        0.00124172,
        0.00130584,
        0.00139391,
        0.00130719,
        0.00134393,
        0.0014035,
        0.00132017,
        0.0012357,
        0.00123829,
        0.00129243,
        0.00131056,
        0.0014866,
        0.00149461,
        0.00142084,
        0.00143145,
        0.00142635,
        0.0014424,
        0.00150044,
        0.00149657,
        0.00167361,
        0.00176404,
        0.00184817,
        0.00196465,
        0.00192554,
        0.00182266,
        0.00209081,
        0.0022635,
        0.00205581,
        0.00192958,
        0.00192283,
        0.00190507,
        0.00196809,
        0.00186782,
        0.00175012,
        0.00198833,
        0.0019105,
        0.00190826,
        0.00193444,
        0.0020298,
        0.00216021,
        0.0024015,
        0.00239993,
        0.00270143,
        0.00297713,
        0.00312698,
        0.00310175,
        0.00340143,
        null,
        0.00298423,
        0.00242331,
        0.00215813,
        0.00206171,
        0.0019597,
        0.0022319,
        0.00207842,
        0.00216835,
        0.00225675,
        0.00181912,
        0.00185873,
        0.00201244,
        0.00198439,
        0.00191566,
        0.00199164,
        0.00206413,
        0.00182273,
        0.00173197,
        0.00174057,
        0.00181108,
        0.00190379,
        0.00196514,
        0.00190386,
        0.00159699,
        0.00154732,
        0.0018444,
        0.0020749,
        0.00201785,
        0.001968,
        0.00209219,
        0.00204426,
        0.00215188,
        0.00193384,
        0.00218278,
        0.00217955,
        0.00215917,
        0.00225632,
        0.00232848,
        0.00258291,
        0.00296386,
        0.0028719,
        0.00338456,
        0.00384578,
        null,
        0.00364689,
        0.00377997,
        0.00332795,
        0.00275928,
        0.00249577,
        0.00257371,
        0.00264389,
        0.00230697,
        0.00232037,
        0.0020332,
        0.00219276,
        0.00207911,
        0.00194638,
        0.00193025,
        0.0016994,
        0.00186017,
        0.00169284,
        0.00164478,
        0.00172389,
        0.00178495,
        0.00176583,
        0.00174396,
        0.00192368,
        0.00271465,
        0.00290342,
        0.00224382,
        0.00175586,
        0.00166271,
        0.00164751,
        0.00143628,
        0.00135234,
        0.00144721,
        0.00151039,
        0.00154531,
        0.00147886,
        0.00147768,
        0.00156992,
        0.00154105,
        0.00153582,
        0.00149111,
        0.00151126,
        0.0014845,
        0.00142145,
        0.00143857,
        0.00156685,
        0.00164369,
        0.0017635,
        0.00161613,
        0.00153685,
        0.00164233,
        0.0016885,
        0.00174274,
        0.0019855,
        0.00200279,
        0.0019115,
        0.00187839,
        0.00201977,
        null,
        0.00240606,
        0.0026672,
        0.00259698,
        0.00249426,
        0.00277026,
        0.00319068,
        0.00241595,
        0.00228714,
        0.00211702,
        0.00206037,
        0.00212954,
        0.0021128,
        0.00183867,
        0.00157281,
        0.00168527,
        0.00156721,
        0.0014519,
        0.00151087,
        0.00153765,
        0.00144547,
        0.00154302,
        0.00150149,
        0.00142105,
        0.00136364,
        0.00136461,
        0.00142796,
        0.00145824,
        0.00141372,
        0.00144256,
        0.00145399,
        0.00155489,
        0.00156195,
        0.0014588,
        0.00138497,
        0.00141588,
        0.00146279,
        0.00134122,
        0.00130073,
        0.00154424,
        0.00144804,
        0.00140585,
        0.0014036,
        0.00135976,
        0.00134348,
        0.00132626,
        0.00130796,
        0.00115762,
        0.00122332,
        0.0012453,
        0.00124587,
        0.00130465,
        0.00131114,
        0.00120001,
        0.00129012,
        0.00122412,
        0.00117292,
        0.00118793,
        0.00123099,
        0.00121801,
        0.00113296,
        0.00127394,
        0.00119292,
        0.00114713,
        0.00128589,
        0.00130262,
        0.00123777,
        0.00123787,
        0.00114325,
        0.00132927,
        0.00122912,
        0.001137,
        null,
        0.0011254,
        0.00115046,
        null,
        0.00123308,
        0.00135468,
        0.00133148,
        0.00136959,
        0.001314,
        0.00120994,
        0.00117921,
        0.00120555,
        0.001232,
        0.0012492,
        0.00135237,
        0.00134752,
        0.00137969,
        0.00135943,
        0.00128696,
        0.00123809,
        0.00124505,
        0.00120363,
        0.00134965,
        0.00133329,
        0.00135729,
        0.00126743,
        0.00121535,
        0.00127986,
        0.00126408,
        0.00129795,
        0.00151112,
        0.00130717,
        0.00121144,
        0.00122786,
        0.00127327,
        0.00129862,
        0.00128112,
        0.00119654,
        0.0011392,
        0.00121826,
        0.00126321,
        0.00125993,
        0.00118621,
        0.00114789,
        0.00129033,
        0.00116844,
        0.00129207,
        0.00115149,
        0.00130851,
        0.00139482,
        0.00140687,
        0.0014305,
        0.00134507,
        0.00153247,
        0.00138288,
        0.00158139,
        0.00145927,
        0.00137857,
        0.00141241,
        0.00145492,
        0.00155961,
        0.00168941,
        0.00150516,
        0.0015601,
        0.00175604,
        0.00174806,
        0.00169852,
        0.00183794,
        0.00205815,
        0.00233524,
        0.00285475,
        0.00338822,
        0.00378958,
        0.00293109,
        0.00248136,
        0.00207349,
        0.00190334,
        0.00169383,
        0.00164155,
        0.00170101,
        0.00166101,
        0.0014618,
        0.00129278,
        0.00127216,
        0.00132854,
        0.0014386,
        0.00139513,
        0.00136908,
        0.00137111,
        0.00137338,
        0.00136541,
        0.00133133,
        0.00128316,
        0.00131298,
        0.00137482,
        0.00138524,
        0.00131218,
        0.00127855,
        0.00130573,
        0.00130418,
        0.00129331,
        0.00126908,
        0.00123009,
        0.00116945,
        0.00113502,
        0.0012684,
        0.00122447,
        0.00121965,
        0.00122993,
        0.0012059,
        0.00119717,
        0.00121194,
        0.00122541,
        0.00126932,
        0.00132098,
        0.00127953,
        0.00120574,
        0.00122461,
        0.00125884,
        0.00134529,
        0.00155687,
        0.00184173,
        0.00206723,
        0.00214755,
        0.00169697,
        0.00149741,
        0.00138192,
        0.00129813,
        0.00125448,
        0.00119672,
        0.00127266,
        0.00129447,
        0.00122571,
        0.00120327,
        0.00119489,
        0.00127689,
        0.00133681,
        0.00131435,
        0.00120089,
        0.00127822,
        0.00126869,
        0.00126001,
        0.0012897,
        0.00130493,
        0.00123054,
        0.00126521,
        0.00133318,
        0.00130925,
        0.00131838,
        0.00133303,
        0.00124554,
        0.00127018,
        0.0015243,
        0.00182531,
        0.00199134,
        0.00207033,
        0.00229339,
        0.00292567,
        0.00437601,
        0.00343696,
        0.00264729,
        0.00240076,
        0.00205745,
        0.00170517,
        0.00156977,
        0.00168134,
        0.00181833,
        0.00203399,
        0.00231995,
        0.00230756,
        0.00203455,
        0.00166494,
        0.001407,
        0.00139614,
        0.00139021,
        0.00121177,
        0.00117562,
        0.00134745,
        0.00138177,
        0.00123331,
        0.00118865,
        0.00119014,
        0.00115319,
        0.00125638,
        0.00126072,
        0.00128451,
        0.00126251,
        0.00114762,
        0.00118303,
        0.0012219,
        0.00125266,
        0.00127683,
        0.00128308,
        0.00131561,
        0.00136644,
        0.00136929,
        0.00138217,
        0.00135134,
        0.00140381,
        0.00152041,
        0.00172479,
        0.00205618,
        0.00278733,
        0.00446031,
        0.00423523,
        0.00267771,
        0.00190154,
        0.0015544,
        0.00141935,
        0.00137102,
        0.00120679,
        0.00133709,
        0.00123764,
        0.00122308,
        0.00130737,
        0.00131222,
        0.00125803,
        0.00130759,
        0.00137826,
        0.00140491,
        0.00133354,
        0.00131648,
        0.00125762,
        0.00123233,
        0.00129225,
        0.00131348,
        0.0014489,
        0.00156866,
        0.00212758,
        0.00235255,
        0.00164168,
        0.00141668,
        0.00122094,
        0.00115982,
        0.00117432,
        0.00124955,
        0.001311,
        0.00119073,
        0.00123469,
        0.00120332,
        0.00117004,
        0.00122239,
        0.00123925,
        0.00118862,
        0.0011792,
        0.00123039,
        0.00121554,
        0.00117572,
        0.00118746,
        0.00122756,
        0.00126429,
        0.00133873,
        0.00149586,
        0.00130772,
        0.00128167,
        0.0013417,
        0.00137762,
        0.00154428,
        0.00178888,
        0.0020694,
        0.00433364,
        0.00339319,
        0.0022458,
        0.00193198,
        0.00175709,
        0.00164855,
        0.00154846,
        0.00134179,
        0.00132242,
        0.00135815,
        0.00127598,
        0.00123178,
        0.00124149,
        0.00128589,
        0.00128813,
        0.00116764,
        0.00114366,
        0.00113002,
        0.0011382,
        0.00119457,
        0.00127362,
        0.00121296,
        0.00100427,
        0.00113832,
        0.00123237,
        0.00124719,
        0.00119151,
        0.00121147,
        0.00126056,
        0.0012377,
        0.00116607,
        0.00123533,
        0.00126232,
        0.00112609,
        0.00125072,
        0.00127654,
        0.00113824,
        0.00107942,
        0.00119571,
        0.00117878,
        0.00110893,
        0.00111429,
        0.00110437,
        0.00116829,
        0.00125635,
        0.00120508,
        0.00121611,
        0.00112534,
        0.00124933,
        0.00141841,
        0.00136774,
        0.00125224,
        0.00127652,
        0.00129487,
        0.00145089,
        0.00154994,
        0.00163051,
        0.00192974,
        0.00199945,
        0.00180395,
        0.00167149,
        0.00146371,
        0.00141018,
        0.00139024,
        0.001247,
        0.00128474,
        0.00139795,
        0.00136232,
        0.00122951,
        0.00134145,
        0.00123022,
        0.00128557,
        0.00123033,
        0.00115688,
        0.00114582,
        0.00116345,
        0.00112682,
        0.00106427,
        0.00122341,
        0.00116575,
        0.00122896,
        0.0012274,
        0.00112307,
        0.00113421,
        0.00121264,
        0.00120829,
        0.00125251,
        0.00121697,
        0.00121681,
        0.00121922,
        0.00117569,
        0.00114284,
        0.00116931,
        0.00112948,
        0.00107929,
        0.00115584,
        0.00124263,
        0.00134474,
        0.00145523,
        0.00139859,
        0.0015949,
        0.00125622,
        0.00118862,
        0.00120804,
        0.0011793,
        0.00116169,
        0.00121649,
        0.00108927,
        0.00124631,
        0.0013178,
        0.00136576,
        0.00125725,
        0.00116502,
        0.00118372,
        0.00116634,
        0.00124328,
        0.00114768,
        0.0011638,
        0.00109743,
        0.00114752,
        0.00118196,
        0.00110102,
        0.00124733,
        0.00134714,
        0.0012141,
        0.00118693,
        0.00119793,
        0.00123349,
        0.00136852,
        0.00159832,
        0.00169607,
        0.00200498,
        0.00249936,
        0.0028709,
        0.0028022,
        0.00258358,
        0.00240394,
        0.00209583,
        0.00170283,
        0.00156742,
        0.00151019,
        0.00149163,
        0.00144783,
        0.00140939,
        0.00138848,
        0.00133484,
        0.0013703,
        0.00146296,
        0.00135508,
        0.00137224,
        0.00137433,
        0.00134524,
        0.00130758,
        0.00113388,
        0.0011755,
        0.00115614,
        0.00123867,
        0.00123865,
        0.00125402,
        0.00129794,
        0.00127647,
        0.00123056,
        0.00133304,
        0.00137358,
        0.0014186,
        0.00144729,
        0.00146144,
        0.00139478,
        0.00124522,
        0.00136574,
        0.00131011,
        0.00128637,
        0.00129066,
        0.00135089,
        0.00129356,
        0.00118056,
        0.00131121,
        0.00134978,
        0.00142094,
        0.00136477,
        0.00123406,
        0.00120566,
        0.00129425,
        0.00141395,
        0.00150255,
        0.00150347,
        0.00147107,
        0.00152394,
        0.00165455,
        0.00172315,
        0.00177766,
        0.00191868,
        0.00210012,
        0.00254375,
        0.00319032,
        0.0037458,
        0.00349925,
        0.00280624,
        0.00254626,
        0.00224908,
        0.00207524,
        0.00191795,
        0.00169961,
        0.00153761,
        0.00150145,
        0.00151398,
        0.00149471,
        0.00141648,
        0.001482,
        0.00146878,
        0.00136987,
        0.00150166,
        0.00143362,
        0.00141404,
        0.00135467,
        0.00129314,
        0.00129966,
        0.00130852,
        0.00127474,
        0.0012819,
        0.00131945,
        0.00130492,
        0.00128438,
        0.0013221,
        0.00133685,
        0.00129684,
        0.00124273,
        0.00127493,
        0.00126839,
        0.00134671,
        0.00137471,
        0.0013284,
        0.00127693,
        0.00127925,
        0.00143016,
        0.00166627,
        0.0017924,
        0.00178446,
        0.00164779,
        0.00146477,
        0.00133502,
        0.00136332,
        0.00136228,
        0.001331,
        0.00120738,
        0.00120377,
        0.00123941,
        0.00130021,
        0.0012352,
        0.00120814,
        0.00119813,
        0.00117191,
        0.00118604,
        0.00119852,
        0.00118601,
        0.00118777,
        0.00113603,
        0.00116584,
        0.00116479,
        0.00116458,
        0.00119804,
        0.00122605,
        0.00125397,
        0.00121303,
        0.00122289,
        0.00132221,
        0.00132184,
        0.00129104,
        0.00119404,
        0.00105146,
        0.00109056,
        0.00116732,
        0.00114265,
        0.00114061,
        0.00120208,
        0.0011322,
        0.00114425,
        0.00114275,
        0.00117952,
        0.00116381,
        0.00115671,
        0.00118585,
        0.00117361,
        0.00114865,
        0.00112401,
        0.00124088,
        0.00113186,
        0.00118858,
        0.00116922,
        0.00111612,
        0.00113036,
        0.00106171,
        0.00104459,
        0.00105183,
        0.00112393,
        0.00109517,
        0.00105313,
        0.00112875,
        0.00119114,
        0.0011585,
        0.00114308,
        0.00110625,
        0.00122901,
        0.00118694,
        0.00119664,
        0.00119402,
        0.00110369,
        0.00109512,
        0.00113165,
        0.00115094,
        0.00118339,
        0.0011646,
        0.00114164,
        0.00123343,
        0.00124838,
        0.00120181,
        0.00128682,
        0.00128388,
        0.00130051,
        0.0013184,
        0.00137989,
        0.0013572,
        0.00121627,
        0.00121764,
        0.00114179,
        0.0011047,
        0.00114335,
        0.00118774,
        0.00113895,
        0.00115911,
        0.001192,
        0.00122894,
        0.00119944,
        0.00120789,
        0.00119307,
        0.0011326,
        0.00115669,
        0.00115343,
        0.00118003,
        0.00121305,
        0.00121713,
        0.00116702,
        0.00127851,
        0.00128303,
        0.001238,
        0.00122387,
        0.00129202,
        0.00129787,
        0.00133647,
        0.00129484,
        0.00120309,
        0.00116474,
        0.00114004,
        0.00114468,
        0.00121143,
        0.00124037,
        0.00121609,
        0.00110543,
        0.00114741,
        0.00133476,
        0.00129371,
        0.00118573,
        0.00120204,
        0.00119053,
        0.00113809,
        0.00116475,
        0.00116971,
        0.00121197,
        0.00117819,
        0.00122015,
        0.00122791,
        0.00120622,
        0.00113034,
        0.00131305,
        0.0013114,
        0.00126416,
        0.00129258,
        0.00124704,
        0.00126322,
        0.00120956,
        0.00109969,
        0.00124413,
        0.00130462,
        0.001318,
        0.00127437,
        0.00123507,
        0.00118766,
        0.00118569,
        0.00111578,
        0.00116153,
        0.00121328,
        0.00112325,
        0.00108939,
        0.00111039,
        0.00116065,
        0.0011642,
        0.00111086,
        0.00119588,
        0.00139837,
        0.00141222,
        0.00131494,
        0.00123191,
        0.00115534,
        0.00116673,
        0.00114447,
        0.00111972,
        0.00110694,
        0.00117613,
        0.00117644,
        0.0011371,
        0.00113723,
        0.00120997,
        0.00116835,
        0.00116292,
        0.00115189,
        0.00110435,
        0.00118977,
        0.00118879,
        0.00111809,
        0.00114663,
        0.00124043,
        0.0012958,
        0.00125432,
        0.00120664,
        0.00123896,
        0.00122295,
        0.00118105,
        0.00123347,
        0.0013583,
        0.00137151,
        0.00128365,
        0.00129912,
        0.00144478,
        0.00145029,
        0.00137508,
        0.00137143,
        0.00148167,
        0.00156916,
        0.00151369,
        0.00161551,
        0.00185666,
        0.00176204,
        0.00219958,
        0.00278882,
        0.0034587,
        0.00427087,
        0.00459497,
        0.00339566,
        0.00253801,
        0.00212494,
        0.00190514,
        0.00174171,
        0.00163918,
        0.00154631,
        0.00147971,
        0.00144936,
        0.00136724,
        0.00122329,
        0.00133994,
        0.00134797,
        0.00143,
        0.00133624,
        0.00121106,
        0.00127488,
        0.00121367,
        0.00133319,
        0.0012735,
        0.00132129,
        0.00132404,
        0.00121979,
        0.00123145,
        0.00126502,
        0.00121242,
        0.00122182,
        0.00124329,
        0.0012669,
        0.00128089,
        0.00129562,
        0.00129628,
        0.0013445,
        0.00148393,
        0.00146159,
        0.00133498,
        0.00120756,
        0.00118664,
        0.00122062,
        0.00125711,
        0.00130305,
        0.00132557,
        0.00118229,
        0.0012537,
        0.00119823,
        0.00119478,
        0.00127197,
        0.00130948,
        0.00127749,
        0.00122791,
        0.0013179,
        0.00122889,
        0.00123871,
        0.00112576,
        0.00109418,
        0.00111929,
        0.0011735,
        0.00128772,
        0.00137782,
        0.00132019,
        0.00126068,
        0.00105884,
        0.00118732,
        0.00126507,
        0.00126684,
        0.00123756,
        0.00125304,
        0.00123629,
        0.00123799,
        0.00131034,
        0.00125212,
        0.00119498,
        0.00129866,
        0.00135647,
        0.00155722,
        0.00175836,
        0.00202869,
        0.00228798,
        0.0025423,
        0.00254894,
        0.00227311,
        0.00205918,
        0.0018881,
        0.00182551,
        0.00171741,
        0.00199737,
        0.00284517,
        0.00349568,
        0.00352351,
        0.00303322,
        0.00245648,
        0.00183785,
        0.00160402,
        0.00131323,
        0.00123885,
        0.0011934,
        0.00120122,
        0.00128443,
        0.00126752,
        0.00122405,
        0.0012875,
        0.00124545,
        0.00111388,
        0.00114937,
        0.00122314,
        0.00131907,
        0.00137541,
        0.00143997,
        0.0016637,
        0.00162853,
        0.0015527,
        0.00140373,
        0.00149798,
        0.00136143,
        0.00139153,
        0.00154656,
        0.00161356,
        0.00165125,
        0.0017822,
        0.00190808,
        0.00175569,
        0.00211935,
        0.00243893,
        0.00271372,
        0.00341402,
        0.00466683,
        null,
        0.00426797,
        0.00347896,
        0.0033021,
        0.00290645,
        0.00289064,
        0.00296055,
        0.00295641,
        0.00310241,
        0.00350018,
        0.00391475,
        0.00510413,
        0.00393099,
        0.00315189,
        0.0024541,
        0.00222189,
        0.00186793,
        0.00194639,
        0.00180808,
        0.00169244,
        0.00163355,
        0.00162767,
        0.00160759,
        0.00154668,
        0.001495,
        0.00159312,
        0.0015111,
        0.0014589,
        0.0015756,
        0.00150824,
        0.00141344,
        0.0014008,
        0.00138258,
        0.0014936,
        0.00154588,
        0.00139867,
        0.00144195,
        0.00140559,
        0.00139859,
        0.00142329,
        0.00143228,
        0.00143168,
        0.00145302,
        0.00148628,
        0.0014304,
        0.00151302,
        0.00138105,
        0.00139653,
        0.00162496,
        0.00159849,
        0.0015833,
        0.00149135,
        0.00158288,
        0.00164686,
        0.00179021,
        0.0017238,
        0.00168202,
        0.00162273,
        0.00172671,
        0.00178978,
        0.00197485,
        0.00216793,
        0.00222087,
        0.00235456,
        0.00276542,
        0.00298718,
        0.00281112,
        0.00310685,
        null,
        0.0030081,
        0.00340892,
        0.00380625,
        0.00435283,
        0.00361093,
        0.00309987,
        0.00283833,
        0.00287734,
        0.00275143,
        0.00258653,
        0.00242464,
        0.00229841,
        0.00216609,
        0.00201232,
        0.00193795,
        0.00195206,
        0.00193812,
        0.00185767,
        0.00171641,
        0.00163069,
        0.00171117,
        0.00170447,
        0.00167538,
        0.00169095,
        0.0018266,
        0.00195595,
        0.00186353,
        0.00165338,
        0.00184158,
        0.00169557,
        0.00182007,
        0.00173526,
        0.00170829,
        0.00179538,
        0.00178898,
        0.00163961,
        0.00172299,
        0.00156101,
        0.00157857,
        0.00146394,
        0.00150716,
        0.00147386,
        0.00158632,
        0.00174289,
        null,
        0.00156642,
        0.00174919,
        0.00194412,
        0.00183369,
        0.00182993,
        0.00181959,
        0.00203479,
        0.0023948,
        0.0025219,
        0.00238716,
        0.0026421,
        0.00365998,
        0.00413302,
        0.00554742,
        0.00397243,
        0.0030757,
        0.00280827,
        0.00280658,
        0.00242375,
        0.00223318,
        0.00240868,
        0.00239698,
        0.0025272,
        0.00257019,
        0.00279723,
        0.00286869,
        0.00266758,
        0.00248527,
        0.0027604,
        0.00313972,
        0.00306752,
        0.00326396,
        0.00321809,
        0.00350999,
        0.00431404,
        0.00450179,
        null,
        0.00505634,
        0.00441485,
        0.00413475,
        0.00369545,
        0.00379299,
        0.00352996,
        0.00319317,
        0.00295639,
        0.00302808,
        0.00292709,
        0.00270402,
        0.00250178,
        0.0026211,
        0.00262439,
        null,
        0.00246657,
        0.00253803,
        0.00264605,
        0.00234156,
        0.00241753,
        0.00251518,
        0.00260426,
        0.00261882,
        0.00274953,
        0.00303352,
        0.00322525,
        0.00374328,
        0.0038318,
        0.00450069,
        null,
        0.00544463,
        0.00383412,
        0.00362047,
        0.003492,
        0.00354151,
        0.00378539,
        0.00389421,
        0.00393559,
        0.00444709,
        0.00467757,
        0.00395909,
        0.00369276,
        0.00312098,
        0.00276776,
        0.0031391,
        0.00304176,
        0.00287825,
        0.00296987,
        0.00335908,
        0.00309803,
        0.00322753,
        0.0035549,
        0.0033884,
        0.00295246,
        0.0027378,
        0.0025193,
        0.00217449,
        0.00197755,
        0.00189704,
        0.00200495,
        0.0018344,
        0.00170345,
        0.00162427,
        0.00162896,
        0.00173405,
        0.00169454,
        0.0013849,
        0.00135853,
        0.00157787,
        0.00154221,
        0.00145765,
        0.00146297,
        0.00148499,
        0.00147262,
        0.00146993,
        0.00148431,
        0.00146531,
        0.0014826,
        0.00164448,
        0.00144011,
        0.00155088,
        0.00160262,
        0.00147161,
        0.00152542,
        0.00143019,
        0.00142277,
        0.00146352,
        0.0015453,
        0.00183412,
        0.00214446,
        0.00243779,
        0.00217618,
        0.00207357,
        0.0018313,
        0.00151864,
        0.00149074,
        0.00155847,
        0.00156472,
        0.00152461,
        0.00153185,
        0.0015884,
        0.0013886,
        0.0014556,
        0.00152468,
        0.00168954,
        0.00151131,
        0.00150243,
        0.00168171,
        0.00177513,
        0.00180502,
        0.00196876,
        0.00217786,
        0.00218029,
        0.00242011,
        0.00299154,
        0.00382264,
        0.00464322,
        0.00453741,
        0.00301756,
        0.00276981,
        0.00245371,
        0.00198858,
        0.0019142,
        0.0018567,
        0.00168582,
        0.0016925,
        0.00174138,
        0.00146075,
        0.0015653,
        0.00159384,
        0.00154908,
        0.00154283,
        0.00157178,
        0.0015131,
        0.00146199,
        null,
        0.00161507,
        0.00166016,
        0.00147525,
        0.00145097,
        0.00142789,
        0.00166882,
        0.00168662,
        0.00186261,
        0.00177373,
        0.00198066,
        0.00218974,
        0.0022253,
        0.00261753,
        0.00327116,
        0.0036292,
        null,
        null,
        0.00366228,
        0.00346556,
        0.00369351,
        0.00315439,
        0.00332297,
        0.00266017,
        0.00253234,
        0.0028326,
        0.00339873,
        0.0031919,
        0.00320429,
        0.00359662,
        0.00384156,
        0.00386868,
        0.00348781,
        0.00377388,
        0.00540443,
        0.0021825,
        0.00199461,
        0.0013398,
        0.00153422,
        0.00148388,
        0.00142417,
        0.00149229,
        0.0014037,
        0.00138723,
        0.00142445,
        0.00146221,
        0.00145873,
        0.00134418,
        0.00135258,
        0.0012317,
        0.00120456,
        0.00139621,
        0.00132622,
        0.00137767,
        0.0012484,
        0.00122811,
        0.00124584,
        0.00124797,
        0.00131371,
        0.00135569,
        0.00141269,
        0.00138036,
        0.00124372,
        0.0013431,
        0.0013456,
        0.00152851,
        0.00141141,
        0.001358,
        0.00141394,
        0.00138067,
        0.00130373,
        0.00131723,
        0.00133601,
        0.00136263,
        0.0014576,
        0.00157574,
        null,
        0.00141762,
        0.00142269,
        0.00134429,
        0.00131393,
        0.00139859,
        0.00155288,
        0.00158051,
        0.00149554,
        0.00177039,
        0.00174502,
        0.0017658,
        0.00172915,
        0.00196195,
        0.00218069,
        0.00248077,
        0.00245007,
        0.00252754,
        0.00306466,
        null,
        0.0032357,
        0.00315511,
        0.00291458,
        0.00272489,
        0.00256163,
        0.00233739,
        0.00227946,
        0.00226103,
        0.00187853,
        0.00191501,
        0.00186573,
        0.00190947,
        0.00212541,
        0.00209321,
        0.00187774,
        0.00193341,
        0.00222106,
        0.00239455,
        0.00233078,
        0.00223086,
        0.00237226,
        0.00261418,
        0.00294238,
        0.0030672,
        0.00277234,
        0.00301944,
        0.00397147,
        0.00466981,
        0.00417652,
        0.00332778,
        0.00316738,
        0.00321905,
        0.00279176,
        0.00228783,
        0.00222054,
        0.00221457,
        0.00191731,
        0.00200358,
        0.0017943,
        0.00201902,
        0.0016738,
        0.00160383,
        0.00147182,
        0.0014333,
        0.0014595,
        0.001501,
        0.00137989,
        0.00147572,
        0.0016122,
        0.00143654,
        0.0013019,
        0.00128724,
        0.00127531,
        0.00130614,
        0.00143536,
        0.00136312,
        0.00132347,
        0.00132029,
        0.00126616,
        0.00127581,
        0.00135947,
        0.00133592,
        0.00134183,
        0.00140003,
        0.00136459,
        0.00137982,
        0.00130697,
        0.0012854,
        0.00141905,
        0.00146678,
        0.00149667,
        0.00156073,
        0.00179506,
        0.00198675,
        0.00191351,
        0.00177045,
        0.00150915,
        0.00128642,
        0.00131526,
        0.00121553,
        0.00116846,
        0.00119886,
        0.00118231,
        0.00113724,
        0.00114271,
        0.00117278,
        0.00122489,
        0.00134411,
        0.00124222,
        0.00116297,
        0.00126971,
        0.00121099,
        0.00113757,
        0.00110628,
        0.00108236,
        0.00107432,
        0.00108003,
        0.00125504,
        0.00129658,
        0.00120284,
        0.00122515,
        0.00124775,
        0.00125532,
        0.00120349,
        0.00116905,
        0.00122348,
        0.00124933,
        0.00116925,
        0.00125044,
        0.00120207,
        0.0010943,
        0.0012373,
        0.0012816,
        0.00121108,
        0.00115988,
        0.00117615,
        0.00121827,
        0.0012451,
        0.00126247,
        0.0012544,
        0.00119785,
        0.00112508,
        0.00120521,
        0.00123427,
        0.00125412,
        0.00130452,
        0.00140679,
        0.00159882,
        0.00150488,
        0.00142642,
        0.00145223,
        0.0013133,
        0.00124099,
        0.00123268,
        0.00125734,
        0.0012018,
        0.00114065,
        0.00120349,
        0.00118461,
        0.00124965,
        0.00135327,
        0.00125626,
        0.00120822,
        0.00119785,
        0.00119596,
        0.00120561,
        0.00122641,
        0.00125875,
        0.00132068,
        0.00138771,
        0.0013607,
        0.001301,
        0.00139831,
        0.00126121,
        0.00135578,
        0.00142733,
        0.00135988,
        0.00134244,
        0.00143689,
        0.00141528,
        0.00117219,
        0.00132649,
        0.00141104,
        0.00141921,
        0.00147444,
        0.00135637,
        null,
        0.00149,
        0.0016728,
        0.00156152,
        0.00152167,
        0.00168907,
        0.00173591,
        0.00164408,
        0.00194485,
        0.00180165,
        0.00177734,
        0.00194591,
        0.00218787,
        0.00237754,
        0.00256291,
        0.00258882,
        0.00215529,
        0.00215158,
        0.00172046,
        0.00157556,
        0.00177149,
        0.00184208,
        0.00182372,
        0.00169638,
        0.0016006,
        0.00161634,
        0.00154314,
        0.0014931,
        0.00145969,
        0.00165822,
        0.00157659,
        0.00165987,
        0.00173189,
        0.00228221,
        0.00265083,
        0.00259144,
        0.00262033,
        0.00259358,
        0.00197836,
        0.0016606,
        0.00194625,
        0.00159163,
        0.00134147,
        0.00135203,
        0.0014417,
        0.00146133,
        0.00145364,
        0.00149468,
        0.00156169,
        0.00172392,
        0.00160375,
        0.00169025,
        0.00161559,
        0.0015489,
        0.00158386,
        0.00158772,
        0.00161795,
        0.00166627,
        0.00162505,
        0.00159865,
        0.00171422,
        0.00157949,
        0.00138903,
        0.00141383,
        0.00144754,
        null,
        0.00158052,
        0.00173082,
        0.00171177,
        0.00163092,
        0.00178604,
        0.00208862,
        0.0020067,
        0.00186534,
        0.00205046,
        0.00216107,
        0.00219075,
        0.00250461,
        0.00285677,
        0.00320084,
        0.00324494,
        0.00268816,
        0.0026545,
        0.00266011,
        0.00249091,
        0.00203255,
        0.00260125,
        0.00233254,
        0.00214127,
        0.00193551,
        0.00185364,
        0.0020836,
        0.00233892,
        0.00277927,
        0.00384348,
        0.00232154,
        0.00181144,
        0.00156658,
        0.00143057,
        0.00139987,
        0.00138342,
        0.00132989,
        0.00120604,
        0.00117449,
        0.00121971,
        0.00123008,
        0.00123539,
        0.00128543,
        0.00118553,
        0.00104937,
        0.00103504,
        0.00122618,
        0.00117849,
        0.00119257,
        0.0012139,
        0.0012404,
        0.00124243,
        0.00119527,
        0.00116682,
        0.0012088,
        0.00120856,
        0.00108511,
        0.00126786,
        0.00117365,
        0.00124813,
        0.00125113,
        0.00124626,
        0.00124952,
        0.00126489,
        0.00135206,
        0.00146175,
        0.00141767,
        0.00136529,
        0.00145456,
        0.00150931,
        0.00163705,
        0.00184003,
        0.00211507,
        0.00247537,
        0.00298682,
        0.0025704,
        0.00218982,
        0.00188715,
        0.00171431,
        0.00165173,
        0.00158634,
        0.0015803,
        0.00158185,
        0.00140896,
        0.00152857,
        0.00172026,
        0.00180932,
        0.00175447,
        0.00169022,
        0.00168487,
        0.00155827,
        0.00147257,
        0.00136286,
        0.00125763,
        0.00132778,
        0.00135328,
        0.00135391,
        0.00155839,
        0.00188504,
        0.00204601,
        0.00217087,
        null,
        0.00205569,
        0.0017725,
        0.0016529,
        0.00161163,
        0.00147037,
        0.00140356,
        0.00137877,
        0.00158419,
        0.00172737,
        0.00148029,
        0.00176349,
        0.00171063,
        0.00143729,
        0.00143048,
        0.00158009,
        0.00167293,
        0.00192827,
        0.00229062,
        0.00190355,
        0.00222667,
        0.00244492,
        0.0025147,
        0.00300719,
        0.00241309,
        0.00221656,
        0.00217885,
        0.00212077,
        0.00202863,
        0.0015793,
        0.00149724,
        0.00163491,
        0.00165298,
        0.00156147,
        0.00146086,
        0.00135818,
        0.00141087,
        0.00149886,
        0.00162203,
        0.00168347,
        0.00184031,
        0.00190919,
        0.00239176,
        0.00331922,
        0.00378054,
        0.00268965,
        0.00199159,
        0.00166468,
        0.00152675,
        0.00145772,
        0.00138579,
        0.00144051,
        0.0014527,
        0.00125905,
        0.00112097,
        0.00114105,
        0.00115366,
        0.00113704,
        0.00113539,
        0.00125366,
        0.00122119,
        0.00114993,
        0.00115777,
        0.00119076,
        0.00120302,
        0.00123602,
        0.00121973,
        0.00100059,
        0.000990026,
        0.0011581,
        0.00124502,
        0.00135495,
        0.0012732,
        0.00123267,
        0.0012173,
        0.00125913,
        null,
        0.00123082,
        0.00116657,
        0.00128362,
        0.00133331,
        0.00138258,
        0.00115984,
        0.00126653,
        0.00132372,
        0.00135243,
        0.00130734,
        0.00145299,
        0.00161579,
        0.0016829,
        0.00174552,
        0.00170303,
        0.00141792,
        0.00137462,
        0.0012518,
        0.00116195,
        0.00132926,
        0.00124304,
        0.0012586,
        0.00123654,
        0.00114424,
        0.00118384,
        0.00132197,
        0.0012399,
        0.00107664,
        0.00123521,
        0.00123039,
        0.00114476,
        0.00115282,
        0.00118533,
        0.00119944,
        0.001219,
        0.00120773,
        0.00117654,
        0.00112072,
        0.00115546,
        0.00115412,
        0.00105769,
        0.00115417,
        0.0011819,
        0.00112822,
        0.00107965,
        0.00109374,
        0.00111797,
        0.00109513,
        0.00113491,
        0.00132095,
        0.0013241,
        0.00131877,
        0.0012297,
        0.00121116,
        0.0011459,
        0.00114617,
        0.00118372,
        0.00119055,
        0.00119513,
        0.00120721,
        0.00115772,
        0.00108461,
        0.00104385,
        0.0011495,
        0.00120119,
        0.00121078,
        0.00120515,
        0.00119067,
        0.00102925,
        0.00111696,
        0.00122201,
        0.00110998,
        0.00113675,
        0.00125786,
        0.00120931,
        0.00110294,
        0.00120877,
        0.00162828,
        0.00132802,
        0.00127516,
        0.00143281,
        0.00175334,
        0.00187762,
        0.00188706,
        0.00212744,
        0.00255339,
        0.0035526,
        0.00279657,
        0.00228943,
        0.0022053,
        0.00184425,
        0.00164245,
        0.00139609,
        0.00120477,
        0.00134371,
        0.0014962,
        0.00172489,
        0.00170433,
        0.00153045,
        0.00155912,
        0.00136302,
        0.00151682,
        0.00158086,
        0.0013235,
        0.00147898,
        0.00137306,
        0.0014429,
        0.0013826,
        0.00126954,
        0.00122136,
        0.00123459,
        0.0011842,
        0.00105393,
        0.00112097,
        0.00135686,
        0.00123549,
        0.00130182,
        0.00117998,
        0.00116423,
        0.001098,
        0.0010812,
        0.00113696,
        0.00117529,
        0.00118297,
        0.00120393,
        0.00122142,
        0.00122382,
        0.00126556,
        0.00126247,
        0.00126579,
        0.00140437,
        0.00133584,
        0.00118216,
        0.00126819,
        0.00138889,
        0.00138817,
        0.00131805,
        0.0012223,
        0.00112645,
        0.0011143,
        0.00107268,
        0.00116666,
        0.00112383,
        0.00127037,
        0.00130132,
        0.00118065,
        0.00113449,
        0.00124428,
        0.00121771,
        0.00118019,
        0.00126831,
        0.00119463,
        0.00111578,
        0.00114101,
        0.00121697,
        0.00121123,
        0.00114108,
        0.00110851,
        null,
        0.00121745,
        0.00122586,
        0.00128639,
        0.00129741,
        0.00127204,
        0.00137406,
        0.00152628,
        0.00150421,
        0.00159917,
        0.00163568,
        0.00153739,
        0.00165137,
        0.00176055,
        0.00186948,
        0.00199114,
        0.00233644,
        0.00264361,
        0.00243645,
        0.00211678,
        0.00176933,
        0.00161316,
        0.00144367,
        0.00141988,
        0.00146481,
        0.00127795,
        0.00117032,
        0.0011927,
        0.00116873,
        0.00119792,
        0.00119229,
        0.00114416,
        0.00108989,
        0.00107765,
        0.00118071,
        0.00126192,
        0.00109053,
        0.00107981,
        0.0011344,
        0.00128553,
        0.00134156,
        0.00127769,
        0.00123441,
        0.00126099,
        0.00124826,
        0.00125398,
        0.00125452,
        0.00116667,
        0.0011481,
        0.00117851,
        0.00128768,
        0.00120631,
        0.00134801,
        0.0012182,
        0.00119729,
        0.00121794,
        0.00123478,
        0.00127495,
        0.00125875,
        0.00125172,
        0.00124089,
        0.00116191,
        0.00123517,
        0.00122824,
        0.00128182,
        0.00116958,
        0.00115615,
        0.00121472,
        0.00116715,
        0.00118866,
        0.00116469,
        0.00116495,
        0.0011903,
        0.00120257,
        0.00126286,
        0.00133949,
        0.00130922,
        0.00145098,
        0.00123741,
        0.00162298,
        0.00151118,
        0.00161169,
        0.00172327,
        0.00184441,
        0.00207686,
        0.00234785,
        0.00273495,
        0.00304263,
        0.00306382,
        0.00292259,
        0.00248843,
        0.00217659,
        0.00177236,
        0.00139051,
        0.00151197,
        0.0013717,
        0.00140523,
        0.00139761,
        0.00138119,
        0.00135604,
        0.00131111,
        0.00128877,
        0.00135786,
        0.00145728,
        0.00142152,
        0.00151671,
        0.00137067,
        0.00144487,
        0.00151778,
        0.00142392,
        0.00138081,
        0.00127707,
        0.00117631,
        0.00117452,
        0.00130568,
        0.00143351,
        0.00146802,
        0.00161461,
        0.00184062,
        0.00142997,
        0.00140478,
        0.00117675,
        0.00119605,
        0.00134345,
        0.00144504,
        0.00135078,
        0.0013582,
        0.00126699,
        0.00117087,
        0.00116463,
        0.00112502,
        0.0010711,
        0.00113121,
        0.00130056,
        0.00117442,
        0.00113494,
        0.00118098,
        0.00111359,
        0.00126226,
        0.00122033,
        0.0011395,
        0.00109412,
        0.00109933,
        0.00107832,
        0.00103733,
        0.00105692,
        0.00105908,
        0.00106332,
        0.000966332,
        0.00100011,
        0.00113813,
        0.00119723,
        0.00110745,
        0.00113058,
        0.00109699,
        0.0010744,
        0.00114123,
        0.0012094,
        0.00119381,
        0.00111682,
        0.00107614,
        0.00117647,
        0.00121895,
        0.00115708,
        0.00108484,
        0.00122718,
        0.00107629,
        null,
        0.00111908,
        0.00122255,
        0.00115187,
        0.0011648,
        0.0012315,
        0.00122032,
        0.00122129,
        0.00141361,
        0.00171995,
        0.00143542,
        0.00149445,
        0.00161566,
        0.00124828,
        0.00130211,
        0.00120771,
        0.00125854,
        0.00128817,
        0.00122483,
        0.00115402,
        0.00108362,
        0.00112814,
        0.00125737,
        0.00121528,
        0.00120859,
        0.00117424,
        0.00125828,
        0.0012327,
        0.00117466,
        0.00113872,
        0.00112607,
        0.00111721,
        0.00111025,
        0.00116367,
        0.00109924,
        0.000964873,
        0.00115302,
        0.00102268,
        0.00113188,
        0.00107831,
        0.00105627,
        0.00111666,
        0.00109933,
        0.00111704,
        0.00120785,
        0.0012045,
        null,
        0.00115153,
        0.001212,
        0.00115666,
        0.00105672,
        0.00137193,
        0.00137159,
        0.00120462,
        0.00131182,
        0.00130687,
        0.00126357,
        0.00118639,
        0.00120158,
        0.00133704,
        0.0014249,
        0.00137589,
        0.00128822,
        0.0012402,
        0.00129201,
        0.00131438,
        0.00132902,
        0.00145809,
        0.00142302,
        0.00158699,
        0.00161236,
        0.00195155,
        0.00245176,
        0.00126129,
        0.00119191,
        0.00118892,
        0.00110425,
        0.00125026,
        0.00109371,
        0.0010738,
        0.00126556,
        0.0011516,
        0.00110794,
        0.00117679,
        0.00121428,
        0.00115257,
        0.00110915,
        0.00115915,
        0.00120944,
        0.00123979,
        0.00126345,
        0.00112785,
        0.00110377,
        0.00103079,
        0.00117994,
        0.00119257,
        0.00117137,
        0.00111027,
        0.00111272,
        0.00117967,
        0.00119929,
        0.00112401,
        0.00109192,
        0.00114729,
        0.0011535,
        0.00120856,
        0.00129371,
        0.00139927,
        0.00125201,
        0.00145187,
        0.00128806,
        0.00129271,
        0.0012288,
        0.00112421,
        0.00111814,
        0.00119516,
        0.00111481,
        0.00109146,
        0.00119527,
        0.00121329,
        0.00129598,
        0.00120388,
        0.00126789,
        0.00132273,
        0.00138418,
        0.00129828,
        0.00126765,
        0.00129657,
        0.0013214,
        0.00121027,
        0.00123331,
        0.00119626,
        0.00119902,
        0.00121597,
        0.00121222,
        0.00127871,
        0.0011753,
        0.00122236,
        0.00116622,
        0.00127629,
        0.00123841,
        0.00129336,
        0.00110856,
        0.0013252,
        0.00129543,
        0.00158427,
        0.00167628,
        0.00158808,
        0.00154116,
        0.00142825,
        0.00130729,
        0.00136075,
        0.00139204
    ]
}