GET /api/crires_4858nm_4994nm_vstar_vv_cra/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.857817968750031,
        4.857838497545917,
        4.857859026341801,
        4.857879555137686,
        4.857900083933571,
        4.857920612729456,
        4.85794114152534,
        4.8581977514739005,
        4.858454361422461,
        4.858474890218345,
        4.858495419014231,
        4.858515947810115,
        4.858536476605999,
        4.858557005401885,
        4.85857753419777,
        4.858598062993655,
        4.85861859178954,
        4.8586391205854245,
        4.85865964938131,
        4.8586801781771936,
        4.858700706973079,
        4.858721235768964,
        4.858741764564848,
        4.8587622933607335,
        4.858782822156619,
        4.858803350952503,
        4.858823879748387,
        4.8588444085442735,
        4.858864937340157,
        4.858885466136042,
        4.858905994931928,
        4.8589265237278125,
        4.858947052523696,
        4.858967581319582,
        4.858988110115467,
        4.859008638911351,
        4.859029167707236,
        4.859049696503121,
        4.859070225299006,
        4.859090754094891,
        4.859111282890775,
        4.859131811686661,
        4.859152340482545,
        4.85917286927843,
        4.859193398074314,
        4.8592139268702,
        4.859234455666084,
        4.85925498446197,
        4.859275513257854,
        4.859296042053739,
        4.859316570849624,
        4.859337099645508,
        4.859357628441393,
        4.859378157237279,
        4.859398686033162,
        4.859419214829048,
        4.859439743624933,
        4.859460272420817,
        4.8594808012167015,
        4.859501330012588,
        4.859521858808471,
        4.859542387604356,
        4.859562916400242,
        4.859583445196127,
        4.859603973992011,
        4.859624502787896,
        4.859645031583781,
        4.859665560379666,
        4.8596860891755504,
        4.859706617971435,
        4.85972714676732,
        4.859747675563205,
        4.8597682043590895,
        4.859788733154975,
        4.8598092619508595,
        4.859829790746744,
        4.859850319542629,
        4.859870848338514,
        4.859891377134399,
        4.859911905930284,
        4.8599324347261685,
        4.859952963522053,
        4.8599734923179385,
        4.859994021113822,
        4.860014549909708,
        4.860035078705593,
        4.860055607501477,
        4.860076136297363,
        4.860096665093248,
        4.860117193889131,
        4.860137722685017,
        4.860158251480902,
        4.860178780276786,
        4.860199309072671,
        4.860219837868556,
        4.860240366664441,
        4.860260895460326,
        4.86028142425621,
        4.860301953052096,
        4.86032248184798,
        4.860343010643865,
        4.860363539439749,
        4.860384068235635,
        4.860404597031519,
        4.860425125827404,
        4.860445654623289,
        4.860466183419174,
        4.860486712215058,
        4.860507241010944,
        4.860527769806828,
        4.860548298602713,
        4.860568827398598,
        4.860589356194483,
        4.860609884990368,
        4.860630413786253,
        4.8606509425821365,
        4.860671471378023,
        4.860692000173907,
        4.860712528969791,
        4.860733057765676,
        4.860753586561562,
        4.8607741153574455,
        4.860794644153331,
        4.860815172949216,
        4.860835701745101,
        4.8608562305409855,
        4.86087675933687,
        4.8608972881327555,
        4.86091781692864,
        4.8609383457245245,
        4.86095887452041,
        4.8609794033162945,
        4.860999932112179,
        4.861020460908064,
        4.861040989703949,
        4.861061518499834,
        4.861082047295719,
        4.861102576091604,
        4.861123104887488,
        4.8611436336833735,
        4.861164162479258,
        4.861184691275143,
        4.861205220071028,
        4.861225748866913,
        4.861246277662796,
        4.861266806458683,
        4.861287335254567,
        4.861307864050451,
        4.861328392846337,
        4.861348921642222,
        4.861369450438105,
        4.861389979233991,
        4.861410508029876,
        4.86143103682576,
        4.861451565621645,
        4.861472094417531,
        4.861492623213415,
        4.8615131520093,
        4.861533680805184,
        4.86155420960107,
        4.861574738396954,
        4.861595267192839,
        4.861615795988725,
        4.861636324784609,
        4.861851877141401,
        4.86210848708996,
        4.862129015885845,
        4.86214954468173,
        4.862170073477614,
        4.862190602273499,
        4.862211131069385,
        4.862231659865269,
        4.862252188661153,
        4.8622727174570395,
        4.862293246252923,
        4.862313775048808,
        4.862334303844693,
        4.862354832640578,
        4.862375361436462,
        4.862395890232348,
        4.862416419028231,
        4.862436947824117,
        4.862457476620002,
        4.862478005415887,
        4.862498534211771,
        4.862519063007657,
        4.862539591803541,
        4.862560120599425,
        4.862580649395311,
        4.862601178191196,
        4.86262170698708,
        4.862642235782966,
        4.86266276457885,
        4.862683293374735,
        4.862703822170619,
        4.862724350966505,
        4.862744879762389,
        4.862765408558274,
        4.862785937354159,
        4.862806466150045,
        4.862826994945928,
        4.862847523741813,
        4.862868052537699,
        4.862888581333583,
        4.8629091101294675,
        4.862929638925353,
        4.8629501677212374,
        4.862970696517122,
        4.862991225313007,
        4.863011754108892,
        4.8630322829047765,
        4.863052811700662,
        4.863073340496546,
        4.863093869292432,
        4.8631143980883165,
        4.863134926884201,
        4.8631554556800864,
        4.863175984475971,
        4.8631965132718555,
        4.86321704206774,
        4.8632375708636255,
        4.86325809965951,
        4.863278628455395,
        4.86329915725128,
        4.863319686047165,
        4.863340214843049,
        4.863360743638934,
        4.863381272434819,
        4.863401801230704,
        4.863422330026588,
        4.863442858822473,
        4.863463387618359,
        4.863483916414243,
        4.863504445210127,
        4.863524974006014,
        4.863545502801897,
        4.863566031597782,
        4.863586560393667,
        4.863607089189552,
        4.863627617985437,
        4.863648146781322,
        4.863668675577206,
        4.863689204373092,
        4.863709733168976,
        4.86373026196486,
        4.863750790760746,
        4.863771319556631,
        4.863791848352515,
        4.863812377148401,
        4.863832905944285,
        4.86385343474017,
        4.863873963536054,
        4.86389449233194,
        4.863915021127824,
        4.863935549923709,
        4.8639560787195935,
        4.863976607515479,
        4.863997136311363,
        4.864017665107248,
        4.864038193903133,
        4.864058722699018,
        4.8640792514949025,
        4.864099780290788,
        4.864120309086673,
        4.864140837882557,
        4.8641613666784425,
        4.864181895474328,
        4.8642024242702115,
        4.864222953066097,
        4.8642434818619815,
        4.864264010657866,
        4.8642845394537515,
        4.864305068249636,
        4.864325597045521,
        4.864346125841406,
        4.864366654637291,
        4.864387183433174,
        4.8644077122290605,
        4.864428241024945,
        4.86444876982083,
        4.864469298616715,
        4.8644898274126,
        4.864510356208484,
        4.864530885004369,
        4.864551413800254,
        4.864571942596139,
        4.864592471392023,
        4.864613000187908,
        4.864633528983794,
        4.864654057779678,
        4.864674586575562,
        4.864695115371449,
        4.864715644167333,
        4.864736172963217,
        4.864756701759102,
        4.864777230554988,
        4.864797759350871,
        4.864818288146757,
        4.864838816942642,
        4.864859345738526,
        4.864879874534411,
        4.864900403330296,
        4.86492093212618,
        4.864941460922066,
        4.86496198971795,
        4.864982518513835,
        4.86500304730972,
        4.865023576105605,
        4.865044104901489,
        4.865064633697375,
        4.865085162493259,
        4.865105691289145,
        4.8651262200850285,
        4.865146748880914,
        4.865167277676799,
        4.865187806472683,
        4.865208335268568,
        4.865228864064454,
        4.8652493928603375,
        4.865269921656222,
        4.86546494521713,
        4.865742083961574,
        4.865762612757459,
        4.865783141553343,
        4.865803670349228,
        4.865824199145114,
        4.865844727940997,
        4.865865256736883,
        4.865885785532768,
        4.865906314328652,
        4.865926843124536,
        4.865947371920423,
        4.865967900716306,
        4.865988429512191,
        4.866008958308077,
        4.866029487103962,
        4.866050015899845,
        4.866070544695731,
        4.866091073491616,
        4.8661116022875,
        4.866132131083385,
        4.86615265987927,
        4.866173188675155,
        4.86619371747104,
        4.8662142462669244,
        4.86623477506281,
        4.866255303858694,
        4.866275832654579,
        4.8662963614504635,
        4.866316890246349,
        4.8663374190422335,
        4.866357947838119,
        4.8663784766340035,
        4.866399005429888,
        4.8664195342257734,
        4.866440063021657,
        4.8664605918175425,
        4.866481120613428,
        4.866501649409312,
        4.866522178205197,
        4.8665427070010825,
        4.866563235796966,
        4.866583764592851,
        4.866604293388737,
        4.866624822184621,
        4.866645350980506,
        4.8666658797763915,
        4.866686408572276,
        4.866706937368161,
        4.866727466164045,
        4.866747994959931,
        4.866768523755815,
        4.8667890525517,
        4.866809581347584,
        4.86683011014347,
        4.866850638939354,
        4.866871167735239,
        4.866891696531124,
        4.866912225327009,
        4.866932754122893,
        4.866953282918778,
        4.866973811714663,
        4.866994340510548,
        4.867014869306433,
        4.867035398102318,
        4.867055926898202,
        4.867076455694088,
        4.867096984489971,
        4.867117513285857,
        4.867138042081742,
        4.867158570877626,
        4.867179099673512,
        4.867199628469397,
        4.8672201572652805,
        4.867240686061166,
        4.867261214857051,
        4.867281743652935,
        4.86730227244882,
        4.867322801244705,
        4.86734333004059,
        4.867363858836475,
        4.8673843876323595,
        4.867404916428245,
        4.8674254452241295,
        4.867445974020014,
        4.8674665028158985,
        4.867487031611784,
        4.8675075604076685,
        4.867528089203553,
        4.8675486179994385,
        4.867569146795323,
        4.867589675591208,
        4.867610204387092,
        4.867630733182978,
        4.867651261978863,
        4.8676717907747475,
        4.867692319570632,
        4.8677128483665175,
        4.867733377162402,
        4.867753905958286,
        4.867774434754172,
        4.867794963550057,
        4.86781549234594,
        4.867836021141826,
        4.867856549937711,
        4.867877078733595,
        4.86789760752948,
        4.867918136325366,
        4.867938665121249,
        4.867959193917135,
        4.867979722713019,
        4.868000251508905,
        4.868020780304789,
        4.868041309100674,
        4.868061837896559,
        4.868082366692444,
        4.868102895488328,
        4.868123424284213,
        4.868143953080098,
        4.868164481875983,
        4.868185010671868,
        4.868205539467753,
        4.868226068263637,
        4.868246597059523,
        4.868267125855406,
        4.868287654651292,
        4.868308183447177,
        4.868328712243062,
        4.8683492410389455,
        4.868369769834832,
        4.868390298630716,
        4.8684108274266,
        4.868431356222486,
        4.868451885018371,
        4.8684724138142546,
        4.86849294261014,
        4.868513471406025,
        4.868534000201909,
        4.8685545289977945,
        4.86857505779368,
        4.868595586589564,
        4.868616115385449,
        4.868636644181334,
        4.86865717297722,
        4.8686777017731035,
        4.868698230568988,
        4.868718759364874,
        4.868739288160758,
        4.868759816956643,
        4.868780345752528,
        4.868800874548413,
        4.868821403344297,
        4.868841932140183,
        4.868862460936066,
        4.868882989731952,
        4.868903518527837,
        4.868924047323721,
        4.869098542088742,
        4.869396209629072,
        4.869416738424957,
        4.869437267220842,
        4.869457796016727,
        4.8694783248126114,
        4.869498853608497,
        4.8695193824043805,
        4.869539911200266,
        4.869560439996151,
        4.869580968792036,
        4.8696014975879205,
        4.869622026383806,
        4.8696425551796905,
        4.869663083975575,
        4.8696836127714604,
        4.869704141567345,
        4.8697246703632295,
        4.869745199159115,
        4.8697657279549995,
        4.869786256750884,
        4.869806785546769,
        4.869827314342654,
        4.869847843138539,
        4.869868371934423,
        4.869888900730309,
        4.869909429526194,
        4.869929958322078,
        4.869950487117962,
        4.8699710159138485,
        4.869991544709732,
        4.870012073505617,
        4.870032602301502,
        4.870053131097387,
        4.870073659893271,
        4.870094188689157,
        4.870114717485041,
        4.870135246280926,
        4.870155775076811,
        4.870176303872695,
        4.870196832668581,
        4.870217361464466,
        4.87023789026035,
        4.870258419056236,
        4.87027894785212,
        4.870299476648005,
        4.870320005443889,
        4.870340534239775,
        4.870361063035659,
        4.870381591831544,
        4.870402120627429,
        4.870422649423314,
        4.870443178219198,
        4.870463707015083,
        4.870484235810968,
        4.870504764606853,
        4.870525293402737,
        4.870545822198622,
        4.870566350994508,
        4.870586879790392,
        4.8706074085862765,
        4.870627937382163,
        4.8706484661780465,
        4.870668994973932,
        4.8706895237698165,
        4.870710052565701,
        4.870730581361586,
        4.870751110157471,
        4.8707716389533555,
        4.870792167749241,
        4.8708126965451255,
        4.870833225341009,
        4.8708537541368955,
        4.87087428293278,
        4.870894811728665,
        4.87091534052455,
        4.8709358693204345,
        4.870956398116319,
        4.870976926912204,
        4.870997455708089,
        4.871017984503974,
        4.871038513299858,
        4.871059042095743,
        4.871079570891628,
        4.871100099687513,
        4.871120628483397,
        4.871141157279283,
        4.871161686075167,
        4.871182214871052,
        4.871202743666937,
        4.871223272462823,
        4.871243801258706,
        4.871264330054592,
        4.871284858850477,
        4.871305387646361,
        4.871325916442246,
        4.871346445238131,
        4.871366974034015,
        4.871387502829901,
        4.871408031625785,
        4.87142856042167,
        4.871449089217555,
        4.87146961801344,
        4.8714901468093235,
        4.87151067560521,
        4.871531204401094,
        4.871551733196979,
        4.871572261992864,
        4.871592790788749,
        4.871613319584633,
        4.871633848380518,
        4.871654377176403,
        4.871674905972289,
        4.8716954347681725,
        4.871715963564057,
        4.871736492359943,
        4.871757021155827,
        4.8717775499517115,
        4.871798078747598,
        4.8718186075434815,
        4.871839136339366,
        4.8718596651352515,
        4.871880193931137,
        4.871900722727021,
        4.871921251522906,
        4.871941780318791,
        4.871962309114675,
        4.8719828379105605,
        4.872003366706445,
        4.87202389550233,
        4.872044424298215,
        4.8720649530941,
        4.872085481889983,
        4.87210601068587,
        4.872126539481754,
        4.872147068277638,
        4.872167597073524,
        4.872188125869409,
        4.872208654665294,
        4.872229183461178,
        4.872249712257063,
        4.872270241052949,
        4.872290769848832,
        4.872311298644718,
        4.872331827440603,
        4.872352356236487,
        4.872372885032371,
        4.872393413828258,
        4.872413942624141,
        4.872434471420026,
        4.872455000215912,
        4.872475529011796,
        4.87249605780768,
        4.872516586603566,
        4.872537115399451,
        4.872557644195335,
        4.87257817299122,
        4.872598701787106,
        4.872721874562414,
        4.873009277704801,
        4.873029806500686,
        4.873050335296572,
        4.873070864092456,
        4.87309139288834,
        4.8731119216842265,
        4.87313245048011,
        4.873152979275995,
        4.87317350807188,
        4.8731940368677655,
        4.87321456566365,
        4.873235094459535,
        4.873255623255419,
        4.873276152051305,
        4.873296680847189,
        4.873317209643074,
        4.873337738438959,
        4.873358267234844,
        4.873378796030728,
        4.873399324826613,
        4.873419853622498,
        4.873440382418383,
        4.873460911214267,
        4.873481440010153,
        4.873501968806037,
        4.873522497601923,
        4.873543026397806,
        4.873563555193692,
        4.873584083989577,
        4.873604612785461,
        4.873625141581346,
        4.873645670377232,
        4.873666199173115,
        4.873686727969001,
        4.873707256764886,
        4.87372778556077,
        4.873748314356655,
        4.87376884315254,
        4.873789371948425,
        4.87380990074431,
        4.873830429540194,
        4.87385095833608,
        4.873871487131964,
        4.873892015927849,
        4.8739125447237335,
        4.873933073519619,
        4.8739536023155035,
        4.873974131111388,
        4.873994659907273,
        4.874015188703158,
        4.8740357174990425,
        4.874056246294927,
        4.8740767750908125,
        4.874097303886697,
        4.8741178326825825,
        4.874138361478467,
        4.874158890274352,
        4.874179419070237,
        4.874199947866121,
        4.874220476662007,
        4.8742410054578915,
        4.874261534253775,
        4.8742820630496615,
        4.874302591845546,
        4.87432312064143,
        4.874343649437315,
        4.874364178233201,
        4.874384707029084,
        4.87440523582497,
        4.874425764620854,
        4.87444629341674,
        4.874466822212624,
        4.874487351008509,
        4.874507879804394,
        4.874528408600279,
        4.874548937396163,
        4.874569466192048,
        4.874589994987933,
        4.874610523783818,
        4.874631052579702,
        4.874651581375588,
        4.874672110171472,
        4.874692638967358,
        4.874713167763241,
        4.874733696559127,
        4.874754225355012,
        4.874774754150897,
        4.874795282946781,
        4.874815811742667,
        4.874836340538551,
        4.874856869334435,
        4.874877398130321,
        4.874897926926206,
        4.8749184557220895,
        4.874938984517975,
        4.87495951331386,
        4.874980042109744,
        4.875000570905629,
        4.875021099701515,
        4.8750416284973985,
        4.875062157293284,
        4.8750826860891685,
        4.875103214885054,
        4.8751237436809385,
        4.875144272476823,
        4.8751648012727085,
        4.875185330068593,
        4.8752058588644775,
        4.875226387660363,
        4.8752469164562475,
        4.875267445252132,
        4.8752879740480175,
        4.875308502843902,
        4.875329031639787,
        4.875349560435672,
        4.875370089231556,
        4.875390618027441,
        4.8754111468233265,
        4.875431675619211,
        4.875452204415095,
        4.875472733210981,
        4.875493262006866,
        4.875513790802749,
        4.875534319598636,
        4.87555484839452,
        4.875575377190404,
        4.875595905986289,
        4.875616434782175,
        4.875636963578058,
        4.875657492373944,
        4.875678021169829,
        4.875698549965714,
        4.875719078761598,
        4.875739607557483,
        4.875760136353369,
        4.875780665149253,
        4.875801193945137,
        4.875821722741024,
        4.875842251536907,
        4.875862780332792,
        4.875883309128677,
        4.875903837924562,
        4.875924366720446,
        4.875944895516332,
        4.8759654243122155,
        4.875985953108101,
        4.876006481903986,
        4.87602701069987,
        4.876047539495755,
        4.876068068291641,
        4.876088597087525,
        4.876109125883409,
        4.876129654679295,
        4.87615018347518,
        4.876170712271064,
        4.87619124106695,
        4.8762117698628344,
        4.876232298658719,
        4.8762528274546035,
        4.876345207036086,
        4.876642874576415,
        4.876663403372301,
        4.876683932168184,
        4.876704460964071,
        4.876724989759955,
        4.87674551855584,
        4.876766047351724,
        4.87678657614761,
        4.876807104943494,
        4.876827633739379,
        4.876848162535264,
        4.876868691331149,
        4.876889220127033,
        4.876909748922918,
        4.876930277718803,
        4.876950806514688,
        4.876971335310572,
        4.876991864106457,
        4.877012392902342,
        4.877032921698227,
        4.877053450494111,
        4.877073979289998,
        4.877094508085881,
        4.877115036881766,
        4.877135565677651,
        4.877156094473536,
        4.8771766232694205,
        4.877197152065306,
        4.8772176808611905,
        4.877238209657076,
        4.87725873845296,
        4.877279267248844,
        4.87729979604473,
        4.877320324840615,
        4.877340853636499,
        4.877361382432385,
        4.8773819112282695,
        4.877402440024154,
        4.877422968820039,
        4.877443497615924,
        4.8774640264118085,
        4.877484555207693,
        4.8775050840035785,
        4.877525612799463,
        4.877546141595348,
        4.877566670391232,
        4.877587199187118,
        4.877607727983002,
        4.877628256778887,
        4.877648785574771,
        4.877669314370657,
        4.877689843166541,
        4.877710371962427,
        4.877730900758312,
        4.877751429554196,
        4.877771958350081,
        4.877792487145966,
        4.87781301594185,
        4.877833544737736,
        4.87785407353362,
        4.877874602329505,
        4.87789513112539,
        4.877915659921275,
        4.877936188717158,
        4.877956717513045,
        4.877977246308929,
        4.877997775104813,
        4.878018303900699,
        4.878038832696584,
        4.878059361492468,
        4.878079890288353,
        4.878100419084238,
        4.878120947880123,
        4.878141476676007,
        4.878162005471892,
        4.878182534267777,
        4.878203063063662,
        4.8782235918595465,
        4.878244120655433,
        4.878264649451316,
        4.878285178247201,
        4.878305707043086,
        4.878326235838972,
        4.8783467646348555,
        4.878367293430741,
        4.878387822226626,
        4.87840835102251,
        4.8784288798183955,
        4.87844940861428,
        4.8784699374101645,
        4.87849046620605,
        4.8785109950019345,
        4.878531523797819,
        4.8785520525937045,
        4.878572581389589,
        4.878593110185473,
        4.878613638981359,
        4.878634167777244,
        4.878654696573128,
        4.878675225369013,
        4.878695754164898,
        4.8787162829607835,
        4.878736811756667,
        4.878757340552553,
        4.878777869348438,
        4.878798398144322,
        4.878818926940206,
        4.878839455736093,
        4.878859984531976,
        4.878880513327861,
        4.878901042123747,
        4.878921570919631,
        4.878942099715515,
        4.878962628511401,
        4.878983157307286,
        4.87900368610317,
        4.879024214899055,
        4.879044743694941,
        4.879065272490824,
        4.87908580128671,
        4.879106330082594,
        4.879126858878479,
        4.879147387674364,
        4.879167916470249,
        4.8791884452661325,
        4.879208974062019,
        4.879229502857903,
        4.879250031653788,
        4.879270560449673,
        4.879291089245558,
        4.879311618041443,
        4.879332146837327,
        4.879352675633212,
        4.879373204429098,
        4.8793937332249815,
        4.879414262020867,
        4.879434790816752,
        4.879455319612636,
        4.8794758484085206,
        4.879496377204407,
        4.8795169060002905,
        4.879537434796175,
        4.879557963592061,
        4.879578492387945,
        4.87959902118383,
        4.879619549979715,
        4.8796400787756005,
        4.879660607571484,
        4.8796811363673696,
        4.879701665163255,
        4.8797221939591395,
        4.879742722755024,
        4.879763251550909,
        4.879783780346794,
        4.879804309142679,
        4.879824837938563,
        4.879845366734448,
        4.879865895530333,
        4.879886424326218,
        4.8799582751118145,
        4.880276471448029,
        4.880297000243915,
        4.880317529039799,
        4.880338057835684,
        4.880358586631568,
        4.880379115427454,
        4.880399644223338,
        4.880420173019223,
        4.880440701815108,
        4.880461230610993,
        4.8804817594068775,
        4.880502288202762,
        4.880522816998647,
        4.880543345794532,
        4.8805638745904165,
        4.880584403386302,
        4.8806049321821865,
        4.880625460978072,
        4.880645989773956,
        4.880666518569841,
        4.8806870473657264,
        4.88070757616161,
        4.880728104957496,
        4.880748633753381,
        4.880769162549265,
        4.88078969134515,
        4.8808102201410355,
        4.880830748936919,
        4.880851277732805,
        4.880871806528689,
        4.880892335324574,
        4.880912864120459,
        4.880933392916344,
        4.880953921712229,
        4.880974450508114,
        4.880994979303998,
        4.881015508099883,
        4.881036036895768,
        4.881056565691653,
        4.881077094487537,
        4.881097623283423,
        4.881118152079307,
        4.881138680875192,
        4.881159209671076,
        4.881179738466962,
        4.881200267262846,
        4.881220796058731,
        4.881241324854616,
        4.881261853650502,
        4.881282382446386,
        4.88130291124227,
        4.881323440038156,
        4.881343968834041,
        4.881364497629924,
        4.881385026425811,
        4.881405555221695,
        4.881426084017579,
        4.881446612813464,
        4.88146714160935,
        4.8814876704052335,
        4.881508199201119,
        4.881528727997003,
        4.881549256792888,
        4.881569785588773,
        4.881590314384658,
        4.881610843180543,
        4.881631371976428,
        4.8816519007723125,
        4.881672429568197,
        4.8816929583640825,
        4.881713487159967,
        4.881734015955852,
        4.881754544751737,
        4.8817750735476215,
        4.881795602343507,
        4.881816131139391,
        4.881836659935276,
        4.8818571887311615,
        4.881877717527045,
        4.88189824632293,
        4.881918775118816,
        4.8819393039147005,
        4.881959832710584,
        4.8819803615064705,
        4.882000890302355,
        4.882021419098239,
        4.882041947894124,
        4.88206247669001,
        4.882083005485893,
        4.882103534281779,
        4.882124063077664,
        4.882144591873548,
        4.882165120669433,
        4.882185649465318,
        4.882206178261202,
        4.882226707057088,
        4.882247235852972,
        4.882267764648859,
        4.882288293444742,
        4.882308822240627,
        4.882329351036512,
        4.882349879832397,
        4.882370408628281,
        4.882390937424167,
        4.882411466220051,
        4.882431995015936,
        4.882452523811821,
        4.882473052607705,
        4.88249358140359,
        4.882514110199476,
        4.882534638995359,
        4.882555167791244,
        4.88257569658713,
        4.882596225383015,
        4.8826167541788985,
        4.882637282974785,
        4.882657811770669,
        4.882678340566553,
        4.8826988693624385,
        4.882719398158324,
        4.882739926954208,
        4.882760455750093,
        4.882780984545978,
        4.882801513341863,
        4.8828220421377475,
        4.882842570933632,
        4.882863099729518,
        4.882883628525402,
        4.882904157321287,
        4.882924686117173,
        4.8829452149130566,
        4.882965743708941,
        4.8829862725048265,
        4.883006801300711,
        4.883027330096596,
        4.883047858892481,
        4.883068387688365,
        4.88308891648425,
        4.883109445280136,
        4.883129974076019,
        4.883150502871905,
        4.88317103166779,
        4.883191560463675,
        4.883212089259558,
        4.883232618055445,
        4.883253146851329,
        4.883273675647214,
        4.883294204443099,
        4.883314733238984,
        4.883335262034868,
        4.883355790830753,
        4.883376319626638,
        4.883396848422523,
        4.883417377218407,
        4.883437906014293,
        4.883458434810177,
        4.883478963606062,
        4.883499492401946,
        4.883520021197833,
        4.883540549993716,
        4.883561078789601,
        4.8838690107278735,
        4.883889539523759,
        4.8839100683196435,
        4.883930597115528,
        4.8839511259114134,
        4.883971654707298,
        4.8839921835031825,
        4.884012712299067,
        4.8840332410949525,
        4.884053769890837,
        4.884074298686722,
        4.884094827482606,
        4.884115356278492,
        4.884135885074376,
        4.884156413870261,
        4.884176942666147,
        4.884197471462031,
        4.884218000257915,
        4.884238529053801,
        4.884259057849685,
        4.884279586645571,
        4.884300115441455,
        4.88432064423734,
        4.884341173033225,
        4.88436170182911,
        4.884382230624993,
        4.88440275942088,
        4.884423288216764,
        4.884443817012648,
        4.884464345808534,
        4.884484874604419,
        4.884505403400303,
        4.884525932196188,
        4.884546460992073,
        4.884566989787958,
        4.884587518583842,
        4.884608047379728,
        4.884628576175612,
        4.884649104971497,
        4.884669633767381,
        4.884690162563267,
        4.884710691359151,
        4.884731220155036,
        4.884751748950921,
        4.884772277746806,
        4.88479280654269,
        4.884813335338576,
        4.884833864134461,
        4.884854392930345,
        4.88487492172623,
        4.884895450522115,
        4.8849159793179995,
        4.884936508113885,
        4.8849570369097695,
        4.884977565705654,
        4.884998094501539,
        4.885018623297424,
        4.885039152093308,
        4.885059680889194,
        4.8850802096850785,
        4.885100738480962,
        4.8851212672768485,
        4.885141796072733,
        4.885162324868618,
        4.885182853664502,
        4.8852033824603875,
        4.885223911256272,
        4.885244440052157,
        4.885264968848041,
        4.8852854976439275,
        4.885306026439811,
        4.885326555235696,
        4.885347084031582,
        4.885367612827466,
        4.88538814162335,
        4.885408670419236,
        4.88542919921512,
        4.885449728011005,
        4.88547025680689,
        4.885490785602776,
        4.885511314398659,
        4.885531843194545,
        4.885552371990429,
        4.885572900786314,
        4.885593429582199,
        4.885613958378084,
        4.885634487173968,
        4.885655015969854,
        4.885675544765738,
        4.885696073561622,
        4.885716602357508,
        4.885737131153393,
        4.885757659949277,
        4.885778188745162,
        4.885798717541047,
        4.885819246336933,
        4.885839775132816,
        4.885860303928702,
        4.885880832724587,
        4.885901361520471,
        4.885911625918414,
        4.8862503510505135,
        4.886270879846398,
        4.8862914086422835,
        4.886311937438168,
        4.886332466234053,
        4.886352995029937,
        4.886373523825823,
        4.886394052621707,
        4.886414581417592,
        4.886435110213476,
        4.886455639009362,
        4.886476167805247,
        4.886496696601131,
        4.886517225397016,
        4.886537754192902,
        4.886558282988785,
        4.88657881178467,
        4.886599340580556,
        4.88661986937644,
        4.886640398172324,
        4.886660926968211,
        4.886681455764094,
        4.886701984559979,
        4.886722513355864,
        4.886743042151749,
        4.886763570947633,
        4.886784099743519,
        4.886804628539403,
        4.886825157335289,
        4.886845686131173,
        4.886866214927058,
        4.886886743722943,
        4.886907272518828,
        4.886927801314712,
        4.886948330110597,
        4.886968858906482,
        4.886989387702367,
        4.8870099164982514,
        4.887030445294137,
        4.887050974090021,
        4.887071502885906,
        4.8870920316817905,
        4.887112560477676,
        4.887133089273561,
        4.887153618069445,
        4.8871741468653305,
        4.89134149242995,
        4.895878356320496,
        4.895898885116381,
        4.8959194139122655,
        4.895939942708151,
        4.8959604715040355,
        4.89598100029992,
        4.896001529095805,
        4.896022057891689,
        4.8960425866875745,
        4.89606311548346,
        4.896083644279344,
        4.896104173075228,
        4.8961247018711145,
        4.896145230666998,
        4.896165759462883,
        4.896186288258769,
        4.8962068170546535,
        4.896227345850537,
        4.896247874646423,
        4.896268403442308,
        4.896288932238192,
        4.896309461034077,
        4.896329989829963,
        4.896350518625846,
        4.896371047421732,
        4.896391576217616,
        4.896412105013502,
        4.896432633809386,
        4.896453162605271,
        4.896473691401157,
        4.896494220197041,
        4.896514748992925,
        4.896535277788811,
        4.896555806584695,
        4.89657633538058,
        4.896596864176465,
        4.896617392972349,
        4.896637921768234,
        4.89665845056412,
        4.896678979360003,
        4.896699508155889,
        4.896720036951774,
        4.896740565747658,
        4.8967610945435425,
        4.896781623339429,
        4.896802152135313,
        4.896822680931197,
        4.896843209727083,
        4.896863738522968,
        4.896884267318852,
        4.896904796114737,
        4.896925324910622,
        4.896945853706507,
        4.8969663825023915,
        4.896986911298277,
        4.8970074400941614,
        4.897027968890046,
        4.8970484976859305,
        4.897069026481816,
        4.8970895552777005,
        4.897110084073585,
        4.897130612869471,
        4.897151141665355,
        4.89717167046124,
        4.897192199257125,
        4.89721272805301,
        4.897233256848894,
        4.8972537856447795,
        4.897274314440663,
        4.897294843236549,
        4.897315372032434,
        4.897335900828318,
        4.897356429624203,
        4.897376958420089,
        4.897397487215972,
        4.897418016011858,
        4.897438544807743,
        4.897459073603628,
        4.897479602399512,
        4.897500131195398,
        4.897520659991282,
        4.897541188787167,
        4.897561717583051,
        4.897582246378937,
        4.897602775174821,
        4.897623303970706,
        4.897643832766591,
        4.898249432245194,
        4.899265607641492,
        4.899286136437377,
        4.899306665233261,
        4.899327194029147,
        4.8993477228250315,
        4.899368251620915,
        4.899388780416801,
        4.899409309212686,
        4.8994298380085715,
        4.899450366804455,
        4.89947089560034,
        4.899491424396226,
        4.89951195319211,
        4.899532481987994,
        4.8995530107838805,
        4.899573539579764,
        4.899594068375649,
        4.899614597171534,
        4.899635125967419,
        4.899655654763303,
        4.899676183559189,
        4.899696712355073,
        4.899717241150958,
        4.899737769946843,
        4.899758298742728,
        4.899778827538612,
        4.899799356334498,
        4.899819885130382,
        4.899840413926266,
        4.899860942722152,
        4.899881471518037,
        4.899902000313921,
        4.899922529109807,
        4.899943057905691,
        4.899963586701576,
        4.89998411549746,
        4.900004644293346,
        4.90002517308923,
        4.900045701885115,
        4.900066230681,
        4.900086759476886,
        4.900107288272769,
        4.900127817068654,
        4.90014834586454,
        4.900168874660424,
        4.9001894034563085,
        4.900209932252195,
        4.9002304610480785,
        4.900250989843963,
        4.9002715186398484,
        4.900292047435733,
        4.9003125762316175,
        4.900333105027503,
        4.9003536338233875,
        4.900374162619272,
        4.9003946914151575,
        4.900415220211042,
        4.9004357490069275,
        4.900456277802812,
        4.9004768065986966,
        4.900497335394581,
        4.9005178641904665,
        4.900538392986351,
        4.900558921782236,
        4.900579450578121,
        4.900599979374006,
        4.90062050816989,
        4.900641036965775,
        4.90066156576166,
        4.9006820945575456,
        4.900702623353429,
        4.900723152149315,
        4.9007436809452,
        4.900764209741084,
        4.900784738536968,
        4.900805267332855,
        4.900825796128738,
        4.900846324924623,
        4.900866853720509,
        4.900887382516393,
        4.900907911312278,
        4.900928440108163,
        4.900948968904047,
        4.900969497699933,
        4.900990026495817,
        4.901010555291702,
        4.901031084087587,
        4.901051612883472,
        4.901072141679356,
        4.901092670475242,
        4.901113199271126,
        4.901133728067011,
        4.901154256862895,
        4.901174785658781,
        4.901195314454665,
        4.90121584325055,
        4.901236372046435,
        4.90125690084232,
        4.9012774296382045,
        4.901297958434089,
        4.901318487229974,
        4.90133901602586,
        4.9013595448217435,
        4.901380073617629,
        4.901400602413514,
        4.901421131209398,
        4.9014416600052835,
        4.901462188801169,
        4.901482717597053,
        4.901503246392938,
        4.9015237751888225,
        4.901544303984707,
        4.9015648327805925,
        4.901585361576477,
        4.901605890372362,
        4.901626419168247,
        4.901646947964132,
        4.901667476760016,
        4.901688005555902,
        4.901708534351786,
        4.901729063147671,
        4.901749591943556,
        4.901770120739441,
        4.901790649535325,
        4.90181117833121,
        4.901831707127095,
        4.90185223592298,
        4.901872764718864,
        4.90189329351475,
        4.901913822310635,
        4.901934351106519,
        4.901954879902403,
        4.90197540869829,
        4.901995937494174,
        4.902016466290058,
        4.902036995085944,
        4.902057523881829,
        4.902078052677712,
        4.902098581473598,
        4.902119110269483,
        4.902139639065367,
        4.902160167861252,
        4.902180696657137,
        4.902201225453021,
        4.902221754248907,
        4.902242283044791,
        4.902262811840676,
        4.902283340636561,
        4.902303869432446,
        4.90232439822833,
        4.902344927024216,
        4.9023654558201,
        4.902385984615985,
        4.90240651341187,
        4.902427042207755,
        4.90244757100364,
        4.902468099799524,
        4.9024886285954095,
        4.902509157391295,
        4.9025296861871785,
        4.902550214983064,
        4.902570743778949,
        4.902591272574833,
        4.902611801370718,
        4.902632330166604,
        4.9026528589624885,
        4.902673387758372,
        4.902693916554258,
        4.902714445350143,
        4.902734974146027,
        4.902755502941912,
        4.9027760317377975,
        4.902796560533681,
        4.902817089329567,
        4.902837618125451,
        4.902858146921336,
        4.902878675717221,
        4.902899204513106,
        4.902919733308991,
        4.902940262104876,
        4.90296079090076,
        4.902981319696646,
        4.90300184849253,
        4.903022377288415,
        4.9030429060843,
        4.903063434880185,
        4.903083963676069,
        4.903104492471955,
        4.903125021267838,
        4.903145550063724,
        4.903166078859609,
        4.903186607655493,
        4.903207136451377,
        4.903227665247264,
        4.903248194043147,
        4.903268722839032,
        4.903289251634918,
        4.903309780430803,
        4.9033303092266864,
        4.903350838022572,
        4.903371366818457,
        4.903391895614341,
        4.903412424410226,
        4.903432953206112,
        4.903453482001996,
        4.903474010797881,
        4.9034945395937655,
        4.903515068389651,
        4.903535597185535,
        4.90355612598142,
        4.903576654777305,
        4.90359718357319,
        4.9036177123690745,
        4.90363824116496,
        4.9036587699608445,
        4.903679298756729,
        4.9036998275526145,
        4.903720356348498,
        4.9037408851443836,
        4.903761413940269,
        4.903781942736153,
        4.903802471532038,
        4.9038230003279235,
        4.903843529123807,
        4.903864057919692,
        4.903884586715578,
        4.903905115511462,
        4.903925644307347,
        4.9039461731032326,
        4.903966701899117,
        4.903987230695002,
        4.904007759490886,
        4.904028288286772,
        4.904048817082656,
        4.904069345878541,
        4.904089874674426,
        4.904110403470311,
        4.904130932266195,
        4.90415146106208,
        4.904171989857965,
        4.90419251865385,
        4.904213047449734,
        4.90423357624562,
        4.904254105041504,
        4.904274633837389,
        4.904295162633274,
        4.904315691429159,
        4.904336220225043,
        4.904356749020929,
        4.904377277816812,
        4.904397806612698,
        4.904418335408583,
        4.904438864204467,
        4.904459393000353,
        4.904479921796238,
        4.9045004505921215,
        4.904520979388007,
        4.904541508183892,
        4.904562036979776,
        4.904582565775661,
        4.904603094571547,
        4.904623623367431,
        4.904644152163316,
        4.9046646809592005,
        4.904685209755086,
        4.9047057385509705,
        4.904726267346855,
        4.90474679614274,
        4.904767324938625,
        4.9047878537345095,
        4.904808382530394,
        4.9048289113262795,
        4.904849440122164,
        4.904869968918049,
        4.904890497713933,
        4.904911026509819,
        4.904931555305704,
        4.904952084101589,
        4.904972612897473,
        4.9049931416933585,
        4.905013670489243,
        4.905034199285127,
        4.905054728081013,
        4.905075256876898,
        4.905095785672781,
        4.905116314468668,
        4.905136843264552,
        4.905157372060436,
        4.905177900856321,
        4.905198429652207,
        4.905218958448091,
        4.905239487243976,
        4.905260016039861,
        4.905280544835746,
        4.90530107363163,
        4.905321602427515,
        4.9053421312234,
        4.905362660019285,
        4.905383188815169,
        4.905403717611054,
        4.905424246406939,
        4.905444775202824,
        4.905465303998709,
        4.905485832794594,
        4.905506361590478,
        4.905526890386364,
        4.905547419182248,
        4.905567947978133,
        4.905588476774018,
        4.905609005569903,
        4.905629534365787,
        4.905650063161673,
        4.905670591957557,
        4.905691120753441,
        4.905711649549327,
        4.905732178345212,
        4.905752707141096,
        4.905773235936982,
        4.905793764732866,
        4.90581429352875,
        4.9058348223246355,
        4.905855351120521,
        4.9058758799164055,
        4.90589640871229,
        4.905916937508175,
        4.905937466304061,
        4.905957995099945,
        4.905978523895829,
        4.905999052691715,
        4.906019581487599,
        4.906040110283484,
        4.906060639079369,
        4.906081167875254,
        4.906101696671138,
        4.906122225467024,
        4.906142754262908,
        4.906163283058793,
        4.906183811854678,
        4.906204340650563,
        4.906224869446447,
        4.906245398242333,
        4.906265927038217,
        4.906286455834102,
        4.906306984629987,
        4.906327513425872,
        4.906348042221755,
        4.906368571017642,
        4.906389099813526,
        4.90640962860941,
        4.906430157405295,
        4.906450686201181,
        4.906471214997065,
        4.90649174379295,
        4.906512272588835,
        4.906532801384721,
        4.906553330180604,
        4.906573858976489,
        4.906594387772375,
        4.906614916568259,
        4.906635445364143,
        4.90665597416003,
        4.906676502955913,
        4.906697031751798,
        4.906717560547683,
        4.906738089343568,
        4.9067586181394525,
        4.906779146935338,
        4.906799675731222,
        4.906820204527107,
        4.906840733322992,
        4.906861262118877,
        4.9068817909147615,
        4.906902319710647,
        4.9069228485065315,
        4.906943377302417,
        4.9069639060983015,
        4.906984434894186,
        4.9070049636900706,
        4.907025492485956,
        4.9070460212818405,
        4.907066550077725,
        4.90708707887361,
        4.907107607669495,
        4.90712813646538,
        4.907148665261264,
        4.90716919405715,
        4.907189722853035,
        4.907210251648919,
        4.907230780444803,
        4.9072513092406895,
        4.907271838036573,
        4.907292366832458,
        4.907312895628344,
        4.907333424424228,
        4.907353953220112,
        4.907374482015998,
        4.907395010811882,
        4.907415539607767,
        4.907436068403652,
        4.907436068403653,
        4.907456597199537,
        4.907477125995422,
        4.907846644321349,
        4.907867173117233,
        4.9078877019131175,
        4.907908230709004,
        4.9079287595048875,
        4.907949288300773,
        4.907969817096658,
        4.907990345892542,
        4.9080108746884274,
        4.908031403484312,
        4.9080519322801965,
        4.908072461076082,
        4.9080929898719665,
        4.90811351866785,
        4.9081340474637365,
        4.908154576259621,
        4.908175105055506,
        4.908195633851391,
        4.908216162647276,
        4.90823669144316,
        4.908257220239045,
        4.90827774903493,
        4.908298277830815,
        4.908318806626699,
        4.908339335422585,
        4.908359864218469,
        4.908380393014354,
        4.908400921810238,
        4.908421450606124,
        4.908441979402008,
        4.908462508197893,
        4.908483036993779,
        4.908503565789664,
        4.908524094585547,
        4.908544623381433,
        4.908565152177318,
        4.908585680973202,
        4.908606209769087,
        4.908626738564972,
        4.908647267360856,
        4.908667796156742,
        4.908688324952626,
        4.908708853748511,
        4.908729382544396,
        4.908749911340281,
        4.9087704401361645,
        4.908790968932051,
        4.908811497727935,
        4.90883202652382,
        4.908852555319705,
        4.90887308411559,
        4.908893612911474,
        4.908914141707359,
        4.908934670503244,
        4.90895519929913,
        4.9089757280950135,
        4.908996256890899,
        4.909016785686784,
        4.909037314482668,
        4.9090578432785525,
        4.909078372074439,
        4.9090989008703225,
        4.909119429666207,
        4.909139958462093,
        4.909160487257978,
        4.909181016053862,
        4.909201544849747,
        4.9092220736456325,
        4.909242602441516,
        4.9092631312374015,
        4.909283660033286,
        4.909304188829171,
        4.909324717625056,
        4.909345246420941,
        4.909365775216825,
        4.909386304012711,
        4.909406832808595,
        4.909427361604479,
        4.909447890400365,
        4.90946841919625,
        4.909488947992135,
        4.90950947678802,
        4.909530005583904,
        4.90955053437979,
        4.909571063175673,
        4.909591591971559,
        4.909612120767444,
        4.909632649563328,
        4.909653178359212,
        4.909673707155099,
        4.909694235950982,
        4.909714764746867,
        4.909735293542753,
        4.909755822338638,
        4.909776351134521,
        4.909796879930407,
        4.909817408726292,
        4.909837937522176,
        4.909858466318061,
        4.909878995113947,
        4.90989952390983,
        4.909920052705716,
        4.9099405815016,
        4.909961110297486,
        4.90998163909337,
        4.910002167889255,
        4.91002269668514,
        4.910043225481025,
        4.910063754276909,
        4.910084283072795,
        4.910104811868679,
        4.910125340664564,
        4.910145869460449,
        4.910166398256334,
        4.9101869270522185,
        4.910207455848104,
        4.910227984643988,
        4.910248513439873,
        4.910269042235758,
        4.910289571031642,
        4.910310099827527,
        4.910330628623413,
        4.910351157419297,
        4.910371686215181,
        4.9103922150110675,
        4.910412743806952,
        4.910433272602836,
        4.910453801398721,
        4.9104743301946066,
        4.910494858990491,
        4.910515387786376,
        4.910535916582261,
        4.910556445378146,
        4.91057697417403,
        4.910597502969915,
        4.9106180317658,
        4.910638560561685,
        4.910659089357569,
        4.910679618153455,
        4.910700146949339,
        4.910720675745224,
        4.910741204541109,
        4.910761733336994,
        4.910782262132878,
        4.910802790928764,
        4.910823319724647,
        4.910843848520533,
        4.910864377316418,
        4.910884906112302,
        4.910905434908187,
        4.910925963704073,
        4.910946492499956,
        4.910967021295842,
        4.910987550091727,
        4.911008078887611,
        4.911028607683496,
        4.911049136479382,
        4.911069665275266,
        4.911090194071151,
        4.911110722867035,
        4.911131251662921,
        4.911151780458805,
        4.91117230925469,
        4.911192838050575,
        4.91121336684646,
        4.9112338956423445,
        4.911254424438229,
        4.9112749532341144,
        4.911295482029999,
        4.9113160108258835,
        4.911336539621768,
        4.9113570684176535,
        4.911377597213538,
        4.9113981260094235,
        4.911418654805308,
        4.911439183601193,
        4.911459712397078,
        4.911480241192962,
        4.911500769988848,
        4.9115212987847325,
        4.911541827580616,
        4.9115623563765025,
        4.911582885172387,
        4.911603413968271,
        4.911623942764156,
        4.911644471560042,
        4.911665000355925,
        4.911685529151811,
        4.911706057947696,
        4.911726586743581,
        4.911747115539465,
        4.91176764433535,
        4.911788173131235,
        4.91180870192712,
        4.911829230723004,
        4.911849759518889,
        4.911870288314774,
        4.911890817110659,
        4.911911345906543,
        4.911931874702429,
        4.911952403498313,
        4.911972932294199,
        4.911993461090082,
        4.912013989885968,
        4.912034518681853,
        4.912055047477738,
        4.912075576273622,
        4.912096105069508,
        4.912116633865392,
        4.912137162661276,
        4.912157691457162,
        4.912178220253047,
        4.9121987490489305,
        4.912219277844817,
        4.912239806640701,
        4.912260335436585,
        4.9122808642324705,
        4.912301393028356,
        4.9123219218242395,
        4.912342450620125,
        4.91236297941601,
        4.912383508211895,
        4.9124040370077795,
        4.912424565803664,
        4.9124450945995495,
        4.912465623395434,
        4.912486152191319,
        4.912506680987204,
        4.9125272097830885,
        4.912547738578973,
        4.9125682673748585,
        4.912588796170743,
        4.912609324966628,
        4.912629853762513,
        4.912650382558397,
        4.912670911354282,
        4.912691440150168,
        4.912711968946052,
        4.912732497741937,
        4.912753026537822,
        4.912773555333707,
        4.91279408412959,
        4.912814612925477,
        4.912835141721361,
        4.912855670517245,
        4.912876199313131,
        4.912896728109016,
        4.912917256904899,
        4.912937785700785,
        4.91295831449667,
        4.912978843292555,
        4.912999372088439,
        4.913019900884324,
        4.91304042968021,
        4.913060958476094,
        4.913081487271978,
        4.913102016067865,
        4.913122544863748,
        4.913143073659633,
        4.913163602455518,
        4.913184131251403,
        4.913204660047287,
        4.913225188843173,
        4.913245717639057,
        4.913266246434942,
        4.913286775230827,
        4.913307304026711,
        4.913327832822596,
        4.913348361618482,
        4.913368890414366,
        4.913389419210251,
        4.913409948006136,
        4.913430476802021,
        4.913451005597905,
        4.913471534393791,
        4.9134920631896755,
        4.91351259198556,
        4.9135331207814446,
        4.91355364957733,
        4.9135741783732145,
        4.913594707169099,
        4.9136152359649845,
        4.913635764760869,
        4.913656293556754,
        4.913676822352638,
        4.9136973511485245,
        4.913717879944408,
        4.913738408740293,
        4.913758937536179,
        4.913779466332063,
        4.913799995127947,
        4.913820523923833,
        4.913841052719717,
        4.913861581515602,
        4.913882110311487,
        4.913902639107372,
        4.913923167903256,
        4.913943696699142,
        4.913964225495025,
        4.913984754290912,
        4.914005283086796,
        4.914025811882681,
        4.914046340678566,
        4.914066869474451,
        4.914087398270335,
        4.91410792706622,
        4.914128455862105,
        4.91414898465799,
        4.914169513453874,
        4.914190042249759,
        4.914210571045644,
        4.914231099841529,
        4.914251628637413,
        4.914272157433299,
        4.914292686229184,
        4.914313215025068,
        4.9143337438209524,
        4.914354272616839,
        4.914374801412722,
        4.914395330208607,
        4.914415859004493,
        4.914436387800377,
        4.9144569165962615,
        4.914477445392147,
        4.9144979741880315,
        4.914518502983917,
        4.9145390317798014,
        4.914559560575685,
        4.914580089371571,
        4.914600618167456,
        4.9146211469633405,
        4.914641675759226,
        4.9146622045551105,
        4.914682733350995,
        4.91470326214688,
        4.914723790942765,
        4.91474431973865,
        4.914764848534534,
        4.9147853773304195,
        4.914805906126304,
        4.914826434922189,
        4.914846963718073,
        4.914867492513959,
        4.914888021309843,
        4.914908550105728,
        4.914929078901613,
        4.914949607697499,
        4.914970136493382,
        4.914990665289268,
        4.915011194085153,
        4.915031722881037,
        4.915052251676922,
        4.915072780472808,
        4.915093309268691,
        4.915113838064577,
        4.915134366860461,
        4.915154895656346,
        4.915175424452231,
        4.915195953248116,
        4.915216482043999,
        4.915237010839886,
        4.91525753963577,
        4.915278068431655,
        4.91529859722754,
        4.915319126023425,
        4.915339654819309,
        4.915360183615194,
        4.915380712411079,
        4.915401241206964,
        4.915421770002848,
        4.915442298798734,
        4.915462827594618,
        4.915483356390503,
        4.9155038851863875,
        4.915524413982274,
        4.9155449427781575,
        4.915565471574042,
        4.915586000369928,
        4.915606529165813,
        4.9156270579616965,
        4.915647586757582,
        4.915668115553467,
        4.915688644349351,
        4.9157091731452365,
        4.915729701941121,
        4.915750230737006,
        4.915770759532891,
        4.9157912883287755,
        4.91581181712466,
        4.9158323459205455,
        4.91585287471643,
        4.915873403512314,
        4.9158939323082,
        4.915914461104085,
        4.915934989899969,
        4.915955518695855,
        4.915976047491739,
        4.9159965762876245,
        4.916017105083508,
        4.916037633879394,
        4.916058162675279,
        4.916078691471163,
        4.916099220267048,
        4.916119749062934,
        4.916140277858817,
        4.916160806654702,
        4.916181335450588,
        4.916201864246472,
        4.916222393042356,
        4.916242921838242,
        4.916263450634127,
        4.916283979430011,
        4.916304508225896,
        4.916325037021782,
        4.916345565817665,
        4.916366094613551,
        4.916386623409435,
        4.91640715220532,
        4.916427681001205,
        4.91644820979709,
        4.916468738592974,
        4.91648926738886,
        4.916509796184744,
        4.916530324980629,
        4.916550853776514,
        4.916571382572399,
        4.916591911368284,
        4.916612440164169,
        4.916632968960053,
        4.916653497755939,
        4.9166740265518225,
        4.916694555347708,
        4.916715084143593,
        4.916735612939477,
        4.916756141735362,
        4.916776670531248,
        4.9167971993271316,
        4.916817728123016,
        4.916838256918902,
        4.916858785714786,
        4.916879314510671,
        4.916899843306556,
        4.9169203721024415,
        4.916940900898325,
        4.916961429694211,
        4.916981958490096,
        4.9170024872859805,
        4.917023016081865,
        4.91704354487775,
        4.917064073673635,
        4.91708460246952,
        4.917105131265404,
        4.91712566006129,
        4.917146188857174,
        4.917166717653059,
        4.917187246448943,
        4.917207775244829,
        4.917228304040713,
        4.917248832836599,
        4.917269361632483,
        4.917289890428368,
        4.917310419224253,
        4.917330948020137,
        4.917351476816022,
        4.917372005611908,
        4.917392534407791,
        4.917413063203676,
        4.917433591999562,
        4.917454120795446,
        4.91747464959133,
        4.917495178387217,
        4.9175157071831,
        4.917536235978986,
        4.91755676477487,
        4.917577293570756,
        4.91759782236664,
        4.917618351162525,
        4.91763887995841,
        4.917659408754295,
        4.917679937550179,
        4.917700466346064,
        4.917720995141949,
        4.917741523937834,
        4.9177620527337185,
        4.917782581529604,
        4.9178031103254884,
        4.917823639121373,
        4.9178441679172575,
        4.917864696713143,
        4.9178852255090275,
        4.917905754304913,
        4.917926283100797,
        4.917946811896682,
        4.9179673406925675,
        4.917987869488451,
        4.918008398284337,
        4.918028927080222,
        4.918049455876106,
        4.918069984671991,
        4.9180905134678765,
        4.91811104226376,
        4.918131571059646,
        4.918152099855531,
        4.918172628651415,
        4.9181931574473,
        4.918213686243185,
        4.91823421503907,
        4.918254743834955,
        4.918275272630839,
        4.918295801426725,
        4.918316330222609,
        4.918336859018494,
        4.918357387814378,
        4.918377916610264,
        4.918398445406148,
        4.918418974202033,
        4.918439502997917,
        4.918460031793803,
        4.918480560589687,
        4.918501089385572,
        4.918521618181457,
        4.918542146977343,
        4.918562675773227,
        4.918583204569111,
        4.918603733364997,
        4.918624262160882,
        4.918644790956765,
        4.918665319752652,
        4.918685848548536,
        4.91870637734442,
        4.918726906140305,
        4.918747434936191,
        4.9187679637320745,
        4.91878849252796,
        4.918809021323845,
        4.91882955011973,
        4.918850078915614,
        4.918870607711499,
        4.918891136507384,
        4.918911665303269,
        4.9189321940991535,
        4.918952722895038,
        4.9189732516909235,
        4.918993780486808,
        4.919014309282693,
        4.919034838078578,
        4.9190553668744625,
        4.919075895670348,
        4.919096424466232,
        4.919116953262117,
        4.9191374820580025,
        4.919158010853887,
        4.919178539649772,
        4.919199068445657,
        4.919219597241542,
        4.919240126037425,
        4.9192606548333115,
        4.919281183629196,
        4.91930171242508,
        4.919322241220966,
        4.919342770016851,
        4.919363298812734,
        4.91938382760862,
        4.919404356404505,
        4.919424885200389,
        4.919445413996274,
        4.919465942792159,
        4.919486471588044,
        4.919507000383929,
        4.919527529179813,
        4.9195480579757,
        4.919568586771583,
        4.919589115567468,
        4.919609644363353,
        4.919630173159238,
        4.919650701955122,
        4.919671230751008,
        4.919691759546892,
        4.919712288342777,
        4.919732817138662,
        4.919753345934546,
        4.919773874730431,
        4.919794403526317,
        4.919814932322201,
        4.919835461118086,
        4.919855989913971,
        4.919876518709856,
        4.9198970475057395,
        4.919917576301626,
        4.91993810509751,
        4.919958633893394,
        4.91997916268928,
        4.919999691485165,
        4.920020220281049,
        4.920040749076934,
        4.920061277872819,
        4.920081806668704,
        4.920184450648128,
        4.920779785728787,
        4.920800314524674,
        4.920820843320557,
        4.920841372116442,
        4.920861900912328,
        4.920882429708212,
        4.920902958504096,
        4.920923487299982,
        4.920944016095866,
        4.920964544891751,
        4.920985073687636,
        4.921005602483521,
        4.9210261312794055,
        4.921046660075291,
        4.921067188871175,
        4.921087717667061,
        4.921108246462945,
        4.92112877525883,
        4.9211493040547145,
        4.9211698328506,
        4.9211903616464845,
        4.921210890442369,
        4.9212314192382545,
        4.921251948034139,
        4.921272476830024,
        4.921293005625908,
        4.9213135344217935,
        4.921334063217678,
        4.921354592013563,
        4.921375120809448,
        4.921395649605333,
        4.921416178401217,
        4.921436707197102,
        4.921457235992988,
        4.921477764788872,
        4.921498293584756,
        4.9215188223806425,
        4.921539351176526,
        4.921559879972412,
        4.921580408768296,
        4.921600937564181,
        4.921621466360066,
        4.921641995155951,
        4.921662523951834,
        4.921683052747721,
        4.921703581543605,
        4.921724110339489,
        4.921744639135375,
        4.92176516793126,
        4.921785696727144,
        4.921806225523029,
        4.921826754318914,
        4.921847283114799,
        4.921867811910683,
        4.921878076308626,
        4.921888340706569,
        4.921908869502453,
        4.922381031807803,
        4.9224015606036895,
        4.922422089399574,
        4.922442618195459,
        4.922463146991343,
        4.922483675787229,
        4.922504204583113,
        4.922524733378998,
        4.922545262174883,
        4.9225657909707685,
        4.922586319766652,
        4.922606848562537,
        4.922627377358423,
        4.922647906154307,
        4.922668434950191,
        4.922688963746078,
        4.922709492541961,
        4.922730021337846,
        4.922750550133731,
        4.922771078929617,
        4.9227916077255,
        4.922812136521386,
        4.92283266531727,
        4.922853194113155,
        4.92287372290904,
        4.922894251704925,
        4.922914780500809,
        4.922935309296695,
        4.922955838092579,
        4.922976366888463,
        4.922996895684349,
        4.923017424480234,
        4.923037953276118,
        4.923058482072004,
        4.923079010867888,
        4.923099539663774,
        4.923120068459657,
        4.923140597255543,
        4.923161126051428,
        4.923181654847312,
        4.923202183643197,
        4.923222712439083,
        4.9232432412349665,
        4.923263770030851,
        4.923284298826737,
        4.923304827622621,
        4.9233253564185055,
        4.923345885214391,
        4.923366414010276,
        4.92338694280616,
        4.9234074716020455,
        4.923428000397931,
        4.923448529193815,
        4.9234690579897,
        4.923489586785585,
        4.923510115581469,
        4.9235306443773545,
        4.923551173173239,
        4.9235717019691245,
        4.923592230765009,
        4.923612759560894,
        4.923633288356778,
        4.923653817152664,
        4.923674345948548,
        4.923694874744434,
        4.923715403540318,
        4.923735932336203,
        4.923756461132088,
        4.923776989927972,
        4.923797518723857,
        4.923818047519743,
        4.923838576315626,
        4.923859105111511,
        4.923879633907397,
        4.923900162703281,
        4.923920691499165,
        4.923941220295052,
        4.923961749090935,
        4.92398227788682,
        4.924002806682705,
        4.924023335478591,
        4.924043864274475,
        4.92406439307036,
        4.924084921866245,
        4.92410545066213,
        4.924125979458014,
        4.924146508253899,
        4.924167037049784,
        4.924187565845669,
        4.924208094641553,
        4.924228623437439,
        4.924249152233323,
        4.924269681029208,
        4.9242902098250925,
        4.924310738620978,
        4.9243312674168624,
        4.924351796212748,
        4.9243723250086315,
        4.924392853804517,
        4.924413382600402,
        4.924433911396286,
        4.9244544401921715,
        4.928088037063786,
        4.932296440220175,
        4.932316969016059,
        4.932337497811944,
        4.9323580266078295,
        4.932378555403713,
        4.932399084199599,
        4.932419612995483,
        4.932440141791369,
        4.932460670587253,
        4.932481199383138,
        4.932501728179022,
        4.932522256974908,
        4.932542785770792,
        4.932563314566677,
        4.932583843362562,
        4.932604372158447,
        4.932624900954331,
        4.932645429750216,
        4.932665958546101,
        4.932686487341987,
        4.93270701613787,
        4.932727544933756,
        4.932748073729641,
        4.932768602525526,
        4.932789131321409,
        4.932809660117296,
        4.93283018891318,
        4.932850717709064,
        4.93287124650495,
        4.932891775300835,
        4.932912304096718,
        4.932932832892604,
        4.932953361688489,
        4.933220236034992,
        4.9332407648308765,
        4.933261293626761,
        4.9332818224226465,
        4.93330235121853,
        4.9333228800144155,
        4.933343408810301,
        4.933363937606185,
        4.93338446640207,
        4.9334049951979555,
        4.93342552399384,
        4.933446052789724,
        4.93346658158561,
        4.933487110381495,
        4.933507639177378,
        4.9335281679732645,
        4.933548696769149,
        4.933569225565033,
        4.933589754360918,
        4.933610283156804,
        4.933630811952687,
        4.933651340748573,
        4.933671869544457,
        4.933692398340343,
        4.933712927136227,
        4.933733455932112,
        4.933753984727998,
        4.933774513523882,
        4.933784777921823,
        4.933795042319766,
        4.933815571115652,
        4.9343698486045415,
        4.934390377400426,
        4.934410906196312,
        4.934431434992196,
        4.934451963788081,
        4.934472492583966,
        4.934493021379851,
        4.934513550175735,
        4.9345340789716206,
        4.934554607767505,
        4.93457513656339,
        4.934595665359275,
        4.934616194155159,
        4.934636722951044,
        4.93465725174693,
        4.934677780542813,
        4.9346983093387,
        4.934718838134584,
        4.934739366930469,
        4.934759895726353,
        4.934780424522239,
        4.934800953318123,
        4.934821482114008,
        4.934842010909892,
        4.934862539705778,
        4.934883068501662,
        4.934903597297547,
        4.934924126093432,
        4.934944654889317,
        4.934965183685201,
        4.934985712481086,
        4.935006241276971,
        4.935026770072856,
        4.93504729886874,
        4.935067827664627,
        4.93508835646051,
        4.935108885256395,
        4.93512941405228,
        4.935149942848165,
        4.93517047164405,
        4.935191000439935,
        4.935211529235819,
        4.935232058031705,
        4.935252586827589,
        4.935273115623473,
        4.935293644419359,
        4.935314173215244,
        4.935334702011128,
        4.935355230807013,
        4.935375759602898,
        4.935396288398783,
        4.9354168171946675,
        4.935437345990553,
        4.9354578747864375,
        4.935478403582322,
        4.935498932378207,
        4.935519461174092,
        4.935539989969977,
        4.935560518765861,
        4.9355810475617465,
        4.935601576357631,
        4.935622105153516,
        4.9356426339494,
        4.935663162745286,
        4.93568369154117,
        4.935704220337056,
        4.935724749132941,
        4.935745277928825,
        4.93576580672471,
        4.935786335520595,
        4.935806864316479,
        4.935827393112365,
        4.935847921908249,
        4.935868450704133,
        4.935888979500019,
        4.935909508295904,
        4.935930037091787,
        4.935950565887674,
        4.935971094683558,
        4.935991623479442,
        4.936012152275327,
        4.936032681071213,
        4.936053209867097,
        4.936073738662982,
        4.936094267458867,
        4.936114796254752,
        4.936135325050636,
        4.936155853846521,
        4.936176382642407,
        4.936196911438291,
        4.936217440234175,
        4.936237969030062,
        4.936258497825945,
        4.93627902662183,
        4.936299555417715,
        4.9363200842136,
        4.9363406130094845,
        4.93636114180537,
        4.936381670601254,
        4.936402199397139,
        4.936422728193024,
        4.936443256988909,
        4.9364637857847935,
        4.936484314580679,
        4.9365048433765635,
        4.936525372172447,
        4.9365459009683335,
        4.936566429764218,
        4.936586958560102,
        4.936607487355988,
        4.9366280161518725,
        4.936648544947757,
        4.936669073743642,
        4.936689602539527,
        4.9367101313354125,
        4.936730660131296,
        4.936751188927182,
        4.936771717723067,
        4.936792246518951,
        4.936812775314835,
        4.9368333041107215,
        4.936853832906605,
        4.93687436170249,
        4.936894890498376,
        4.93691541929426,
        4.936935948090144,
        4.93695647688603,
        4.936977005681915,
        4.936997534477799,
        4.937018063273684,
        4.937038592069569,
        4.937059120865453,
        4.937079649661339,
        4.937100178457223,
        4.937120707253108,
        4.937141236048993,
        4.937161764844878,
        4.937182293640762,
        4.937202822436648,
        4.937223351232532,
        4.937243880028417,
        4.937264408824302,
        4.937284937620187,
        4.937305466416072,
        4.937325995211956,
        4.937346524007841,
        4.937367052803727,
        4.93738758159961,
        4.937408110395495,
        4.937428639191381,
        4.937449167987265,
        4.9374696967831495,
        4.937490225579036,
        4.9375107543749195,
        4.937531283170804,
        4.9375518119666895,
        4.937572340762574,
        4.9375928695584586,
        4.937613398354344,
        4.937633927150229,
        4.937654455946113,
        4.9376749847419985,
        4.937695513537883,
        4.9377160423337685,
        4.937736571129653,
        4.937757099925538,
        4.937777628721423,
        4.9377981575173076,
        4.937818686313192,
        4.937839215109077,
        4.937859743904962,
        4.937880272700847,
        4.937900801496731,
        4.937921330292617,
        4.937941859088501,
        4.937962387884387,
        4.93798291668027,
        4.938003445476156,
        4.938023974272041,
        4.938044503067925,
        4.938065031863809,
        4.938085560659696,
        4.938106089455579,
        4.938126618251464,
        4.93814714704735,
        4.938167675843234,
        4.938188204639119,
        4.938208733435004,
        4.938229262230888,
        4.938249791026774,
        4.938270319822658,
        4.938290848618544,
        4.938311377414428,
        4.938331906210313,
        4.938352435006197,
        4.938372963802083,
        4.938393492597967,
        4.938414021393852,
        4.938434550189737,
        4.938455078985622,
        4.938475607781506,
        4.938496136577391,
        4.938516665373276,
        4.938537194169161,
        4.9385577229650455,
        4.93857825176093,
        4.9385987805568154,
        4.938619309352701,
        4.9386398381485845,
        4.93866036694447,
        4.938680895740355,
        4.938701424536239,
        4.9387219533321245,
        4.93874248212801,
        4.938763010923894,
        4.938783539719779,
        4.9388040685156644,
        4.938824597311548,
        4.9388451261074335,
        4.938865654903318,
        4.938886183699203,
        4.938906712495088,
        4.938927241290973,
        4.938947770086858,
        4.938968298882743,
        4.938988827678627,
        4.939009356474512,
        4.939029885270397,
        4.939050414066282,
        4.939070942862166,
        4.939091471658051,
        4.939112000453936,
        4.939132529249821,
        4.939153058045705,
        4.939173586841591,
        4.939194115637476,
        4.93921464443336,
        4.939235173229244,
        4.939255702025131,
        4.939276230821015,
        4.939296759616899,
        4.939317288412785,
        4.93933781720867,
        4.939358346004553,
        4.939378874800439,
        4.939399403596324,
        4.939419932392208,
        4.939440461188093,
        4.939460989983979,
        4.939481518779862,
        4.939502047575748,
        4.939522576371632,
        4.939543105167517,
        4.939563633963402,
        4.939584162759287,
        4.9396046915551715,
        4.939625220351057,
        4.939645749146941,
        4.939666277942826,
        4.939686806738711,
        4.939707335534596,
        4.939727864330481,
        4.939748393126365,
        4.9397689219222505,
        4.939789450718136,
        4.93980997951402,
        4.939830508309905,
        4.93985103710579,
        4.939871565901674,
        4.939892094697559,
        4.939912623493445,
        4.9399331522893295,
        4.939953681085213,
        4.9399742098810995,
        4.939994738676984,
        4.940015267472868,
        4.940035796268753,
        4.9400563250646385,
        4.940076853860522,
        4.940097382656408,
        4.940117911452293,
        4.940138440248177,
        4.940158969044062,
        4.940179497839947,
        4.940200026635832,
        4.940220555431717,
        4.940241084227601,
        4.940261613023487,
        4.940282141819371,
        4.940302670615256,
        4.940323199411141,
        4.940343728207026,
        4.94036425700291,
        4.940384785798796,
        4.940405314594679,
        4.940425843390565,
        4.94044637218645,
        4.940466900982334,
        4.940487429778219,
        4.940507958574105,
        4.940528487369988,
        4.940549016165873,
        4.940569544961759,
        4.940590073757644,
        4.9406106025535275,
        4.940631131349414,
        4.940651660145298,
        4.940672188941182,
        4.940692717737067,
        4.940713246532953,
        4.940733775328837,
        4.940754304124722,
        4.9407748329206065,
        4.940795361716492,
        4.9408158905123765,
        4.940836419308261,
        4.940856948104146,
        4.940877476900031,
        4.9408980056959155,
        4.940918534491801,
        4.9409390632876855,
        4.94095959208357,
        4.9409801208794555,
        4.94100064967534,
        4.941021178471225,
        4.94104170726711,
        4.941062236062994,
        4.941082764858879,
        4.9411032936547645,
        4.941123822450648,
        4.941144351246534,
        4.941164880042419,
        4.941185408838304,
        4.941205937634188,
        4.941226466430074,
        4.941246995225958,
        4.941267524021843,
        4.941288052817727,
        4.941308581613613,
        4.941329110409497,
        4.941349639205382,
        4.941370168001267,
        4.941390696797152,
        4.941411225593036,
        4.941431754388921,
        4.941452283184806,
        4.941472811980691,
        4.941493340776575,
        4.941513869572462,
        4.941534398368345,
        4.94155492716423,
        4.941575455960115,
        4.941595984756,
        4.941616513551884,
        4.94163704234777,
        4.941657571143654,
        4.941678099939539,
        4.941698628735424,
        4.941719157531308,
        4.941739686327194,
        4.941760215123079,
        4.9417807439189625,
        4.941801272714849,
        4.941821801510733,
        4.941842330306618,
        4.9418628591025024,
        4.941883387898388,
        4.941903916694272,
        4.941924445490157,
        4.9419449742860415,
        4.941965503081927,
        4.9419860318778115,
        4.942006560673696,
        4.9420270894695815,
        4.942047618265466,
        4.942068147061351,
        4.942088675857235,
        4.9421092046531205,
        4.942129733449005,
        4.94215026224489,
        4.942170791040776,
        4.94219131983666,
        4.942211848632545,
        4.94223237742843,
        4.942252906224314,
        4.9422734350202,
        4.942293963816084,
        4.942314492611968,
        4.942335021407854,
        4.942355550203739,
        4.942376078999622,
        4.942396607795509,
        4.942417136591393,
        4.942437665387277,
        4.942458194183162,
        4.942478722979048,
        4.942499251774932,
        4.942499251774933,
        4.9431561732432465,
        4.943176702039131,
        4.9431972308350165,
        4.943217759630902,
        4.943238288426786,
        4.94325881722267,
        4.9432793460185565,
        4.94329987481444,
        4.943320403610325,
        4.943340932406211,
        4.943361461202095,
        4.943381989997979,
        4.943402518793865,
        4.943423047589749,
        4.943443576385634,
        4.943464105181519,
        4.943484633977404,
        4.943505162773288,
        4.943525691569174,
        4.943546220365058,
        4.943566749160943,
        4.943587277956828,
        4.943607806752713,
        4.943628335548596,
        4.943648864344483,
        4.943669393140367,
        4.943689921936251,
        4.943710450732137,
        4.943730979528022,
        4.943751508323906,
        4.943772037119791,
        4.943792565915676,
        4.943813094711562,
        4.943833623507445,
        4.943854152303331,
        4.943874681099216,
        4.9438952098951,
        4.943915738690984,
        4.943936267486871,
        4.943956796282754,
        4.943977325078639,
        4.943997853874524,
        4.944018382670409,
        4.9440389114662935,
        4.944059440262179,
        4.9440799690580635,
        4.944100497853948,
        4.944121026649833,
        4.944141555445718,
        4.9441620842416025,
        4.944182613037488,
        4.9442031418333725,
        4.944223670629258,
        4.9442441994251425,
        4.944264728221027,
        4.944285257016912,
        4.944305785812797,
        4.9443263146086815,
        4.944346843404566,
        4.9443673722004515,
        4.944387900996336,
        4.944408429792221,
        4.944428958588105,
        4.944449487383991,
        4.944470016179876,
        4.94449054497576,
        4.944511073771644,
        4.9445316025675305,
        4.944552131363414,
        4.944572660159299,
        4.944593188955185,
        4.944613717751069,
        4.944634246546953,
        4.944654775342839,
        4.944675304138723,
        4.944695832934608,
        4.944716361730493,
        4.944736890526378,
        4.944757419322263,
        4.944777948118148,
        4.944798476914032,
        4.944819005709918,
        4.944839534505802,
        4.944860063301687,
        4.944880592097572,
        4.944901120893457,
        4.944921649689341,
        4.944942178485226,
        4.944962707281111,
        4.944983236076996,
        4.94500376487288,
        4.945024293668766,
        4.94504482246465,
        4.945065351260535,
        4.9450858800564195,
        4.945106408852305,
        4.94512693764819,
        4.945147466444074,
        4.9451679952399585,
        4.945188524035845,
        4.9452090528317285,
        4.945229581627614,
        4.945250110423499,
        4.945270639219383,
        4.9452911680152685,
        4.945311696811153,
        4.945332225607038,
        4.945352754402923,
        4.9453732831988075,
        4.945393811994692,
        4.9454143407905775,
        4.945434869586462,
        4.945455398382347,
        4.945475927178232,
        4.945496455974117,
        4.945516984770001,
        4.945537513565887,
        4.945558042361771,
        4.945578571157656,
        4.94559909995354,
        4.945619628749426,
        4.94564015754531,
        4.945660686341195,
        4.945681215137079,
        4.945701743932965,
        4.94572227272885,
        4.945742801524734,
        4.94576333032062,
        4.945783859116505,
        4.945804387912388,
        4.945824916708274,
        4.945845445504159,
        4.945865974300043,
        4.945886503095928,
        4.945907031891814,
        4.945927560687697,
        4.945948089483583,
        4.945968618279467,
        4.945989147075352,
        4.946009675871237,
        4.946030204667122,
        4.946050733463007,
        4.946071262258892,
        4.946091791054776,
        4.946112319850661,
        4.946132848646546,
        4.946153377442431,
        4.946173906238315,
        4.9461944350342,
        4.946214963830085,
        4.946235492625971,
        4.9462560214218545,
        4.94627655021774,
        4.946297079013625,
        4.946317607809509,
        4.946338136605394,
        4.94635866540128,
        4.946379194197164,
        4.946399722993048,
        4.946420251788934,
        4.946440780584819,
        4.946461309380703,
        4.946481838176588,
        4.9465023669724735,
        4.946522895768357,
        4.946543424564243,
        4.946563953360128,
        4.946584482156012,
        4.946605010951897,
        4.946625539747782,
        4.946646068543666,
        4.946666597339552,
        4.946687126135436,
        4.946707654931321,
        4.946728183727206,
        4.946748712523091,
        4.946769241318976,
        4.946789770114861,
        4.946810298910745,
        4.946830827706631,
        4.946851356502514,
        4.9468718852984,
        4.946892414094285,
        4.946912942890169,
        4.946933471686054,
        4.94695400048194,
        4.946974529277823,
        4.946995058073708,
        4.947015586869594,
        4.947036115665479,
        4.947056644461362,
        4.947077173257249,
        4.947097702053133,
        4.947118230849017,
        4.947138759644902,
        4.947159288440788,
        4.947179817236671,
        4.947200346032557,
        4.947220874828441,
        4.947241403624327,
        4.947261932420211,
        4.947282461216096,
        4.947302990011981,
        4.947323518807866,
        4.9473440476037505,
        4.947364576399636,
        4.94738510519552,
        4.947405633991405,
        4.94742616278729,
        4.947446691583175,
        4.9474672203790595,
        4.947487749174945,
        4.947508277970829,
        4.947528806766714,
        4.9475493355625995,
        4.947569864358483,
        4.9475903931543685,
        4.947610921950254,
        4.947631450746138,
        4.947651979542022,
        4.9476725083379085,
        4.947693037133793,
        4.947713565929677,
        4.947734094725563,
        4.947754623521448,
        4.947775152317332,
        4.947795681113217,
        4.947816209909102,
        4.947836738704987,
        4.947857267500871,
        4.947877796296756,
        4.947898325092641,
        4.947918853888526,
        4.94793938268441,
        4.947959911480296,
        4.94798044027618,
        4.948000969072065,
        4.94802149786795,
        4.948042026663835,
        4.948062555459719,
        4.948083084255605,
        4.948103613051489,
        4.948124141847374,
        4.948144670643259,
        4.948165199439143,
        4.948185728235028,
        4.948206257030914,
        4.948226785826797,
        4.948247314622684,
        4.948267843418568,
        4.948288372214452,
        4.948308901010337,
        4.948329429806223,
        4.948349958602107,
        4.948370487397992,
        4.9483910161938764,
        4.948411544989762,
        4.948432073785646,
        4.948452602581531,
        4.948473131377416,
        4.948493660173301,
        4.9485141889691855,
        4.94853471776507,
        4.9485552465609555,
        4.94857577535684,
        4.948596304152725,
        4.94861683294861,
        4.9486373617444945,
        4.948657890540379,
        4.9486784193362645,
        4.948698948132149,
        4.948719476928034,
        4.948740005723919,
        4.948760534519804,
        4.948781063315689,
        4.9488015921115736,
        4.948822120907457,
        4.9488426497033435,
        4.948863178499228,
        4.948883707295112,
        4.948904236090997,
        4.948924764886883,
        4.948945293682766,
        4.948965822478652,
        4.948986351274537,
        4.949006880070422,
        4.949027408866306,
        4.949047937662191,
        4.949068466458076,
        4.949088995253961,
        4.949109524049845,
        4.949130052845731,
        4.949150581641615,
        4.9491711104375,
        4.949191639233384,
        4.94921216802927,
        4.949232696825154,
        4.94925322562104,
        4.949273754416924,
        4.949294283212809,
        4.949314812008694,
        4.949335340804579,
        4.949355869600463,
        4.949376398396349,
        4.949396927192233,
        4.949417455988117,
        4.949437984784003,
        4.949458513579888,
        4.9494790423757715,
        4.949499571171658,
        4.949520099967542,
        4.949540628763426,
        4.9495611575593115,
        4.949581686355197,
        4.949602215151081,
        4.949622743946966,
        4.949643272742851,
        4.949663801538736,
        4.9496843303346205,
        4.949704859130505,
        4.9497253879263905,
        4.949745916722275,
        4.94976644551816,
        4.949786974314046,
        4.94980750310993,
        4.949828031905814,
        4.9498485607016995,
        4.949869089497584,
        4.949889618293469,
        4.949910147089354,
        4.949930675885239,
        4.949951204681123,
        4.949971733477009,
        4.949992262272893,
        4.950012791068778,
        4.950033319864663,
        4.950053848660548,
        4.950074377456431,
        4.950094906252318,
        4.950115435048202,
        4.950135963844086,
        4.950156492639972,
        4.950177021435857,
        4.95019755023174,
        4.950218079027626,
        4.950238607823511,
        4.950259136619396,
        4.95027966541528,
        4.950300194211166,
        4.950320723007051,
        4.950341251802935,
        4.950361780598819,
        4.950382309394706,
        4.950402838190589,
        4.950423366986474,
        4.95044389578236,
        4.950464424578244,
        4.950484953374128,
        4.950505482170014,
        4.950526010965898,
        4.950546539761783,
        4.950567068557668,
        4.950587597353553,
        4.9506081261494375,
        4.950628654945323,
        4.950649183741207,
        4.950669712537092,
        4.950690241332977,
        4.950710770128862,
        4.950731298924746,
        4.950751827720632,
        4.9507723565165165,
        4.950792885312401,
        4.9508134141082865,
        4.950833942904171,
        4.9508544717000555,
        4.95087500049594,
        4.9508955292918255,
        4.950916058087711,
        4.950936586883595,
        4.95095711567948,
        4.9509776444753655,
        4.950998173271249,
        4.951018702067134,
        4.95103923086302,
        4.951059759658904,
        4.951080288454788,
        4.951100817250674,
        4.951121346046558,
        4.951141874842443,
        4.951162403638328,
        4.951182932434213,
        4.951203461230097,
        4.951223990025983,
        4.951244518821867,
        4.951265047617752,
        4.951285576413637,
        4.951306105209522,
        4.951326634005407,
        4.951347162801292,
        4.951367691597176,
        4.951388220393061,
        4.951408749188946,
        4.951429277984831,
        4.951449806780715,
        4.951470335576601,
        4.951490864372485,
        4.95151139316837,
        4.951531921964254,
        4.95155245076014,
        4.951572979556025,
        4.951593508351909,
        4.9516140371477935,
        4.95163456594368,
        4.9516550947395634,
        4.951675623535448,
        4.951696152331334,
        4.951716681127218,
        4.9517372099231025,
        4.951757738718988,
        4.9517782675148725,
        4.951798796310758,
        4.9518193251066425,
        4.951839853902527,
        4.951860382698412,
        4.951880911494297,
        4.9519014402901815,
        4.951921969086067,
        4.9519424978819515,
        4.951963026677836,
        4.9519835554737215,
        4.952004084269606,
        4.952024613065491,
        4.952178579034626,
        4.953030524063847,
        4.953051052859732,
        4.953071581655617,
        4.953092110451501,
        4.9531126392473865,
        4.953133168043271,
        4.953153696839156,
        4.953174225635041,
        4.953194754430926,
        4.95321528322681,
        4.953235812022696,
        4.95325634081858,
        4.953276869614465,
        4.953297398410349,
        4.953317927206235,
        4.95333845600212,
        4.953358984798004,
        4.953379513593889,
        4.953400042389775,
        4.953420571185658,
        4.953441099981543,
        4.953461628777429,
        4.953482157573313,
        4.953502686369197,
        4.953523215165084,
        4.953543743960968,
        4.953564272756852,
        4.953584801552737,
        4.953605330348623,
        4.953625859144506,
        4.953646387940392,
        4.953666916736277,
        4.953687445532161,
        4.953707974328046,
        4.95393379108278,
        4.954898644489366,
        4.954919173285251,
        4.954939702081136,
        4.95496023087702,
        4.954980759672905,
        4.95500128846879,
        4.955021817264675,
        4.9550423460605595,
        4.955062874856445,
        4.9550834036523295,
        4.955103932448214,
        4.955124461244099,
        4.955144990039984,
        4.9551655188358685,
        4.955186047631754,
        4.9552065764276385,
        4.955227105223523,
        4.9552476340194085,
        4.955268162815292,
        4.955288691611178,
        4.955309220407063,
        4.955329749202947,
        4.955350277998833,
        4.9553708067947175,
        4.955391335590601,
        4.955411864386487,
        4.955432393182372,
        4.955452921978257,
        4.955473450774141,
        4.955493979570026,
        4.955514508365911,
        4.955535037161796,
        4.95555556595768,
        4.955576094753566,
        4.955586359151509,
        4.95559662354945,
        4.955617152345335,
        4.955637681141219,
        4.956315131405419,
        4.956335660201304,
        4.956356188997189,
        4.9563767177930735,
        4.956397246588958,
        4.9564177753848435,
        4.956438304180728,
        4.956458832976613,
        4.956479361772498,
        4.956499890568383,
        4.956520419364266,
        4.956540948160153,
        4.956561476956037,
        4.956582005751921,
        4.956602534547807,
        4.956623063343692,
        4.956643592139575,
        4.956664120935461,
        4.956684649731346,
        4.95670517852723,
        4.956725707323115,
        4.956746236119001,
        4.956766764914885,
        4.95678729371077,
        4.956807822506654,
        4.95682835130254,
        4.956848880098424,
        4.956869408894309,
        4.956889937690195,
        4.956910466486079,
        4.956930995281963,
        4.956951524077849,
        4.956972052873733,
        4.956992581669618,
        4.957013110465503,
        4.9576289743420485,
        4.959065990053985,
        4.959086518849871,
        4.959107047645755,
        4.95912757644164,
        4.959148105237524,
        4.95916863403341,
        4.959189162829294,
        4.959209691625179,
        4.959230220421063,
        4.959250749216949,
        4.959271278012833,
        4.959291806808718,
        4.959312335604603,
        4.959332864400489,
        4.9593533931963725,
        4.959373921992258,
        4.959394450788143,
        4.959414979584027,
        4.959435508379912,
        4.959456037175798,
        4.9594765659716815,
        4.959497094767567,
        4.9595176235634515,
        4.959538152359336,
        4.9595586811552215,
        4.959579209951106,
        4.959599738746991,
        4.959620267542876,
        4.9596407963387605,
        4.959661325134645,
        4.9596818539305305,
        4.959702382726415,
        4.9597229115223,
        4.959743440318185,
        4.95976396911407,
        4.959784497909954,
        4.959805026705839,
        4.959825555501724,
        4.959846084297609,
        4.959866613093493,
        4.963695233526014,
        4.968386063385696,
        4.968406592181581,
        4.9684271209774655,
        4.96844764977335,
        4.9684681785692355,
        4.96848870736512,
        4.968509236161005,
        4.968529764956889,
        4.968550293752775,
        4.968570822548659,
        4.968591351344544,
        4.968611880140429,
        4.968632408936314,
        4.968652937732198,
        4.968673466528083,
        4.968693995323968,
        4.968714524119853,
        4.968735052915738,
        4.968755581711623,
        4.968776110507507,
        4.968796639303393,
        4.968817168099276,
        4.968837696895162,
        4.968858225691047,
        4.968878754486931,
        4.968899283282816,
        4.968919812078702,
        4.968940340874585,
        4.968960869670471,
        4.968981398466356,
        4.96900192726224,
        4.969022456058125,
        4.96904298485401,
        4.969063513649895,
        4.96908404244578,
        4.969104571241664,
        4.96912510003755,
        4.969145628833434,
        4.969166157629319,
        4.9691866864252034,
        4.969207215221089,
        4.969227744016973,
        4.969248272812858,
        4.969268801608743,
        4.969289330404628,
        4.9693098592005125,
        4.969330387996397,
        4.9693509167922825,
        4.969371445588167,
        4.9693919743840524,
        4.969412503179937,
        4.969433031975822,
        4.969453560771707,
        4.969474089567591,
        4.969494618363477,
        4.9695151471593615,
        4.969535675955245,
        4.9695562047511315,
        4.969576733547016,
        4.9695972623429,
        4.969617791138785,
        4.9696383199346705,
        4.969658848730554,
        4.96967937752644,
        4.969699906322324,
        4.96972043511821,
        4.969740963914094,
        4.969761492709979,
        4.969782021505864,
        4.969802550301749,
        4.969823079097633,
        4.969843607893518,
        4.969864136689403,
        4.969884665485288,
        4.969905194281172,
        4.969925723077058,
        4.969946251872942,
        4.969966780668828,
        4.969987309464711,
        4.970007838260597,
        4.970028367056482,
        4.970048895852367,
        4.97006942464825,
        4.970089953444137,
        4.970110482240021,
        4.970131011035905,
        4.970151539831791,
        4.970172068627676,
        4.9701925974235595,
        4.970213126219445,
        4.97023365501533,
        4.970254183811214,
        4.970274712607099,
        4.970295241402985,
        4.9703157701988685,
        4.970336298994754,
        4.9703568277906385,
        4.970377356586524,
        4.9703978853824085,
        4.970418414178293,
        4.970438942974179,
        4.970459471770063,
        4.9704800005659475,
        4.970500529361833,
        4.9705210581577175,
        4.970541586953602,
        4.9705621157494875,
        4.970582644545372,
        4.970603173341257,
        4.970623702137142,
        4.970644230933026,
        4.970664759728911,
        4.9706852885247965,
        4.970705817320681,
        4.970726346116565,
        4.970746874912451,
        4.970767403708336,
        4.970787932504219,
        4.970808461300106,
        4.97082899009599,
        4.970849518891874,
        4.970870047687759,
        4.970890576483645,
        4.970911105279528,
        4.970931634075414,
        4.970952162871299,
        4.970972691667184,
        4.970993220463068,
        4.971013749258953,
        4.971034278054839,
        4.971054806850723,
        4.971075335646607,
        4.971095864442494,
        4.971116393238377,
        4.971136922034262,
        4.971157450830147,
        4.971177979626032,
        4.971198508421916,
        4.971219037217802,
        4.971239566013685,
        4.971260094809571,
        4.971280623605456,
        4.97130115240134,
        4.971321681197225,
        4.971342209993111,
        4.971362738788995,
        4.971383267584879,
        4.971403796380765,
        4.97142432517665,
        4.971444853972534,
        4.97146538276842,
        4.971485911564304,
        4.971506440360189,
        4.9715269691560735,
        4.971547497951959,
        4.9715680267478435,
        4.971588555543728,
        4.9716090843396135,
        4.971629613135498,
        4.9716501419313825,
        4.971670670727267,
        4.971691199523153,
        4.971711728319037,
        4.971732257114922,
        4.971752785910807,
        4.971773314706692,
        4.971793843502576,
        4.971814372298462,
        4.971834901094346,
        4.971855429890231,
        4.971875958686116,
        4.971896487482,
        4.971917016277885,
        4.971937545073771,
        4.971958073869654,
        4.971978602665541,
        4.971999131461425,
        4.97201966025731,
        4.972040189053194,
        4.97206071784908,
        4.972081246644964,
        4.972101775440849,
        4.972122304236734,
        4.972142833032619,
        4.972163361828503,
        4.972183890624388,
        4.972204419420273,
        4.972224948216158,
        4.972245477012042,
        4.972266005807927,
        4.972286534603812,
        4.972307063399697,
        4.972327592195581,
        4.972348120991468,
        4.972368649787351,
        4.972389178583236,
        4.972409707379121,
        4.972430236175006,
        4.972450764970891,
        4.972471293766776,
        4.97249182256266,
        4.972512351358546,
        4.97253288015443,
        4.972553408950314,
        4.9725739377462,
        4.972594466542085,
        4.9726149953379695,
        4.972635524133855,
        4.9726560529297394,
        4.972676581725624,
        4.9726971105215085,
        4.972717639317394,
        4.9727381681132785,
        4.972758696909163,
        4.9727792257050485,
        4.972799754500933,
        4.972820283296818,
        4.972840812092702,
        4.9728613408885876,
        4.972881869684472,
        4.972902398480357,
        4.972922927276241,
        4.9729434560721275,
        4.972963984868011,
        4.972984513663897,
        4.973005042459782,
        4.973025571255666,
        4.973046100051551,
        4.973066628847436,
        4.97308715764332,
        4.973107686439206,
        4.97312821523509,
        4.973148744030975,
        4.97316927282686,
        4.973189801622745,
        4.973210330418628,
        4.973230859214515,
        4.973251388010399,
        4.973271916806284,
        4.973292445602169,
        4.973312974398054,
        4.973333503193938,
        4.973354031989823,
        4.973374560785708,
        4.973395089581593,
        4.973415618377477,
        4.973436147173362,
        4.973456675969248,
        4.973477204765132,
        4.973497733561016,
        4.973518262356903,
        4.973538791152786,
        4.973559319948671,
        4.973579848744556,
        4.973600377540442,
        4.9736209063363255,
        4.973641435132211,
        4.973661963928096,
        4.97368249272398,
        4.973703021519865,
        4.97372355031575,
        4.9737440791116345,
        4.97376460790752,
        4.9737851367034045,
        4.973805665499289,
        4.9738261942951745,
        4.973846723091059,
        4.973867251886943,
        4.973887780682829,
        4.9739083094787135,
        4.973928838274598,
        4.973949367070483,
        4.973969895866368,
        4.9739904246622535,
        4.974010953458137,
        4.974031482254023,
        4.974052011049908,
        4.974072539845792,
        4.974093068641676,
        4.9741135974375625,
        4.974134126233446,
        4.974154655029331,
        4.974175183825217,
        4.974195712621101,
        4.974216241416985,
        4.974236770212871,
        4.974257299008756,
        4.97427782780464,
        4.974298356600525,
        4.974318885396411,
        4.974339414192294,
        4.97435994298818,
        4.974380471784064,
        4.974401000579949,
        4.974421529375834,
        4.974442058171719,
        4.974462586967604,
        4.974483115763489,
        4.974503644559373,
        4.974524173355258,
        4.974544702151143,
        4.974565230947028,
        4.974585759742913,
        4.974606288538797,
        4.974626817334682,
        4.974647346130568,
        4.9746678749264515,
        4.974688403722337,
        4.974708932518222,
        4.974729461314106,
        4.9747499901099905,
        4.974770518905877,
        4.9747910477017605,
        4.974811576497645,
        4.974832105293531,
        4.974852634089415,
        4.9748731628853,
        4.974893691681185,
        4.97491422047707,
        4.974934749272954,
        4.9749552780688395,
        4.974975806864724,
        4.9749963356606095,
        4.975016864456494,
        4.975037393252379,
        4.975057922048264,
        4.975078450844149,
        4.975098979640033,
        4.975119508435918,
        4.975140037231803,
        4.975160566027688,
        4.975181094823572,
        4.975201623619458,
        4.975222152415342,
        4.975242681211228,
        4.975263210007111,
        4.975283738802997,
        4.975304267598882,
        4.975324796394766,
        4.975345325190651,
        4.975365853986537,
        4.97538638278242,
        4.975406911578305,
        4.975427440374191,
        4.975447969170075,
        4.97546849796596,
        4.975489026761846,
        4.975509555557729,
        4.975530084353615,
        4.975550613149499,
        4.975571141945385,
        4.975591670741269,
        4.975612199537154,
        4.975632728333038,
        4.975653257128924,
        4.975673785924808,
        4.975694314720693,
        4.975714843516578,
        4.975735372312463,
        4.975755901108347,
        4.975776429904232,
        4.975796958700117,
        4.975817487496002,
        4.9758380162918865,
        4.975858545087772,
        4.9758790738836565,
        4.975899602679542,
        4.975920131475426,
        4.975940660271311,
        4.975961189067196,
        4.97598171786308,
        4.976002246658966,
        4.976022775454851,
        4.976043304250735,
        4.976063833046619,
        4.97606383304662,
        4.9760843618425055,
        4.976104890638389,
        4.9761254194342746,
        4.976145948230159,
        4.976166477026044,
        4.976187005821929,
        4.976207534617814,
        4.976228063413699,
        4.976802869698473,
        4.976823398494358,
        4.976843927290243,
        4.976864456086128,
        4.976884984882013,
        4.976905513677898,
        4.9769260424737825,
        4.976946571269667,
        4.976967100065552,
        4.976987628861437,
        4.977008157657322,
        4.977028686453207,
        4.9770492152490915,
        4.977069744044977,
        4.977090272840861,
        4.977110801636746,
        4.9771313304326315,
        4.977151859228516,
        4.9771723880244,
        4.977192916820286,
        4.9772134456161705,
        4.977233974412054,
        4.9772545032079405,
        4.977275032003825,
        4.977295560799709,
        4.977316089595594,
        4.97733661839148,
        4.977357147187363,
        4.977377675983249,
        4.977398204779134,
        4.977418733575018,
        4.977439262370903,
        4.977459791166788,
        4.977480319962674,
        4.977500848758558,
        4.977521377554442,
        4.977541906350329,
        4.977562435146212,
        4.977582963942097,
        4.977603492737982,
        4.977624021533867,
        4.977644550329751,
        4.977665079125637,
        4.977685607921521,
        4.977706136717406,
        4.977726665513291,
        4.977747194309175,
        4.97776772310506,
        4.977788251900946,
        4.97780878069683,
        4.977829309492714,
        4.9778498382886,
        4.977870367084485,
        4.9778908958803685,
        4.977911424676255,
        4.977931953472139,
        4.977952482268023,
        4.977973011063908,
        4.977993539859794,
        4.978014068655678,
        4.978034597451563,
        4.978055126247448,
        4.978075655043333,
        4.9780961838392175,
        4.978116712635102,
        4.978137241430988,
        4.978157770226872,
        4.9781782990227565,
        4.978198827818643,
        4.9782193566145265,
        4.978239885410411,
        4.9782604142062965,
        4.978280943002181,
        4.978301471798066,
        4.978322000593951,
        4.978342529389835,
        4.97836305818572,
        4.9783835869816055,
        4.978404115777489,
        4.978424644573375,
        4.97844517336926,
        4.978465702165145,
        4.978486230961029,
        4.978506759756915,
        4.978527288552799,
        4.978547817348684,
        4.978568346144569,
        4.978588874940454,
        4.978609403736338,
        4.978629932532223,
        4.978650461328108,
        4.978670990123993,
        4.978691518919877,
        4.978712047715763,
        4.978732576511647,
        4.978753105307532,
        4.978773634103416,
        4.978794162899303,
        4.978814691695186,
        4.978835220491071,
        4.978855749286956,
        4.978876278082841,
        4.978896806878725,
        4.978917335674611,
        4.978937864470495,
        4.97895839326638,
        4.978978922062265,
        4.978999450858149,
        4.979019979654035,
        4.97904050844992,
        4.9790610372458035,
        4.97908156604169,
        4.979102094837574,
        4.979122623633459,
        4.9791431524293435,
        4.979163681225229,
        4.979184210021113,
        4.979204738816998,
        4.979225267612883,
        4.979245796408768,
        4.9792663252046525,
        4.979286854000537,
        4.9793073827964225,
        4.979327911592307,
        4.979348440388192,
        4.979368969184076,
        4.9793894979799616,
        4.979410026775846,
        4.979430555571731,
        4.979451084367617,
        4.979471613163501,
        4.979492141959386,
        4.979512670755271,
        4.979533199551155,
        4.979553728347041,
        4.979574257142925,
        4.97959478593881,
        4.979615314734695,
        4.97963584353058,
        4.979656372326463,
        4.97967690112235,
        4.979697429918234,
        4.979717958714118,
        4.979738487510004,
        4.979759016305889,
        4.979779545101773,
        4.979800073897658,
        4.979820602693543,
        4.979841131489428,
        4.979861660285312,
        4.979882189081197,
        4.979902717877082,
        4.979923246672967,
        4.979943775468851,
        4.979964304264737,
        4.979984833060621,
        4.980005361856506,
        4.980025890652391,
        4.980046419448276,
        4.98006694824416,
        4.980087477040045,
        4.980087477040046,
        4.980108005835931,
        4.980128534631815,
        4.9801490634277,
        4.980169592223585,
        4.9801901210194695,
        4.980929157671324,
        4.980949686467208,
        4.980970215263092,
        4.980990744058978,
        4.981011272854863,
        4.981031801650747,
        4.981052330446632,
        4.981072859242517,
        4.981093388038403,
        4.981113916834286,
        4.981134445630172,
        4.981154974426057,
        4.981175503221941,
        4.9811960320178255,
        4.981216560813712,
        4.981237089609595,
        4.98125761840548,
        4.981278147201366,
        4.98129867599725,
        4.9813192047931345,
        4.98133973358902,
        4.9813602623849045,
        4.981380791180789,
        4.9814013199766745,
        4.98142184877256,
        4.9814423775684435,
        4.981462906364329,
        4.9814834351602135,
        4.981503963956099,
        4.9815244927519835,
        4.981545021547868,
        4.981565550343753,
        4.981586079139638,
        4.981606607935523,
        4.981627136731407,
        4.9816476655272925,
        4.981668194323177,
        4.9816887231190625,
        4.981709251914946,
        4.981729780710832,
        4.981750309506717,
        4.981770838302601,
        4.981791367098486,
        4.981811895894372,
        4.981832424690255,
        4.98185295348614,
        4.981873482282026,
        4.98189401107791,
        4.981914539873794,
        4.981935068669681,
        4.981955597465564,
        4.981976126261449,
        4.981996655057334,
        4.98201718385322,
        4.982037712649104,
        4.982058241444989,
        4.982078770240873,
        4.982099299036759,
        4.982119827832643,
        4.982140356628528,
        4.982160885424413,
        4.982181414220298,
        4.982201943016182,
        4.982222471812067,
        4.982243000607952,
        4.982263529403837,
        4.982284058199721,
        4.982304586995607,
        4.982325115791491,
        4.982345644587377,
        4.9823661733832605,
        4.982386702179146,
        4.982407230975031,
        4.982427759770915,
        4.9824482885668,
        4.982468817362686,
        4.9824893461585695,
        4.982509874954455,
        4.98253040375034,
        4.982550932546224,
        4.9825714613421095,
        4.982591990137995,
        4.982612518933879,
        4.982633047729764,
        4.9826535765256486,
        4.982674105321534,
        4.9826946341174185,
        4.982715162913303,
        4.982735691709188,
        4.982756220505073,
        4.982776749300958,
        4.982797278096842,
        4.982817806892728,
        4.982838335688612,
        4.982858864484497,
        4.982879393280381,
        4.982899922076267,
        4.982920450872151,
        4.982940979668036,
        4.982961508463921,
        4.982982037259806,
        4.983002566055691,
        4.983023094851575,
        4.983043623647461,
        4.983064152443346,
        4.983084681239229,
        4.983105210035116,
        4.983125738831,
        4.983146267626884,
        4.983166796422769,
        4.983187325218655,
        4.983207854014538,
        4.983228382810424,
        4.983248911606308,
        4.983269440402193,
        4.983289969198078,
        4.983310497993963,
        4.983331026789848,
        4.983351555585733,
        4.983372084381617,
        4.983392613177502,
        4.983413141973387,
        4.983433670769272,
        4.9834541995651565,
        4.983474728361042,
        4.983495257156926,
        4.983515785952812,
        4.9835363147486955,
        4.983556843544581,
        4.983577372340466,
        4.98359790113635,
        4.9836184299322355,
        4.983638958728121,
        4.9836594875240054,
        4.983680016319889,
        4.983700545115775,
        4.98372107391166,
        4.983741602707544,
        4.983762131503429,
        4.9837826602993145,
        4.983803189095198,
        4.983823717891084,
        4.983844246686969,
        4.983864775482853,
        4.983885304278738,
        4.983905833074623,
        4.983926361870507,
        4.983946890666393,
        4.983967419462277,
        4.983987948258163,
        4.984008477054047,
        4.984029005849932,
        4.984049534645817,
        4.984070063441702,
        4.984090592237586,
        4.984111121033472,
        4.984131649829356,
        4.984152178625241,
        4.984172707421126,
        4.98419323621701,
        4.984213765012895,
        4.984234293808781,
        4.984254822604664,
        4.984275351400549,
        4.984295880196435,
        4.98431640899232,
        4.984336937788203,
        4.98435746658409,
        4.984377995379974,
        4.984398524175858,
        4.984419052971743,
        4.984439581767629,
        4.9844601105635125,
        4.984480639359398,
        4.984501168155283,
        4.984521696951168,
        4.984542225747052,
        4.984562754542937,
        4.984583283338822,
        4.984603812134707,
        4.9846243409305915,
        4.984644869726478,
        4.9846653985223615,
        4.984685927318246,
        4.984706456114131,
        4.984726984910016,
        4.9847475137059005,
        4.984768042501786,
        4.98478857129767,
        4.984809100093555,
        4.9848296288894405,
        4.984850157685324,
        4.98487068648121,
        4.984891215277095,
        4.984911744072979,
        4.984932272868863,
        4.9849528016647495,
        4.984973330460634,
        4.984993859256518,
        4.985014388052404,
        4.985034916848289,
        4.985055445644173,
        4.985075974440058,
        4.985096503235943,
        4.985117032031828,
        4.985137560827712,
        4.985158089623598,
        4.985178618419482,
        4.985199147215367,
        4.985219676011251,
        4.985240204807137,
        4.985260733603021,
        4.985281262398906,
        4.985301791194792,
        4.985322319990676,
        4.98534284878656,
        4.985363377582446,
        4.98538390637833,
        4.985404435174215,
        4.9854249639701,
        4.985445492765984,
        4.985466021561869,
        4.985486550357755,
        4.985507079153638,
        4.985527607949525,
        4.985548136745409,
        4.985568665541293,
        4.985589194337178,
        4.985609723133064,
        4.985630251928948,
        4.985650780724833,
        4.985671309520718,
        4.985691838316603,
        4.985712367112487,
        4.985732895908372,
        4.985753424704257,
        4.985773953500142,
        4.9857944822960265,
        4.985815011091912,
        4.9858355398877965,
        4.985856068683681,
        4.985876597479566,
        4.985897126275451,
        4.9859176550713356,
        4.98593818386722,
        4.9859587126631055,
        4.98597924145899,
        4.985999770254875,
        4.98602029905076,
        4.986040827846645,
        4.98606135664253,
        4.986081885438415,
        4.986102414234298,
        4.9861229430301846,
        4.986143471826069,
        4.986164000621953,
        4.986184529417839,
        4.986205058213724,
        4.986225587009608,
        4.986246115805493,
        4.986266644601378,
        4.986287173397263,
        4.986307702193147,
        4.986328230989033,
        4.986348759784917,
        4.986369288580802,
        4.986389817376686,
        4.986410346172572,
        4.986430874968456,
        4.986451403764341,
        4.986471932560225,
        4.986492461356111,
        4.986512990151995,
        4.986533518947881,
        4.986554047743766,
        4.98657457653965,
        4.986595105335535,
        4.98661563413142,
        4.986636162927304,
        4.98665669172319,
        4.986677220519074,
        4.986697749314959,
        4.986718278110844,
        4.986738806906729,
        4.9867593357026125,
        4.986779864498499,
        4.986800393294383,
        4.986820922090267,
        4.986841450886153,
        4.986861979682038,
        4.9868825084779225,
        4.986903037273807,
        4.9869235660696924,
        4.986944094865577,
        4.9869646236614615,
        4.986985152457346,
        4.9870056812532315,
        4.987026210049116,
        4.987046738845001,
        4.987067267640886,
        4.987087796436771,
        4.987108325232655,
        4.987128854028541,
        4.987149382824425,
        4.98716991162031,
        4.987190440416195,
        4.9872109692120805,
        4.987231498007964,
        4.98725202680385,
        4.987272555599734,
        4.987293084395619,
        4.987313613191504,
        4.987334141987389,
        4.987354670783273,
        4.987375199579159,
        4.987395728375043,
        4.987416257170927,
        4.987436785966813,
        4.987457314762698,
        4.987477843558581,
        4.987498372354468,
        4.987518901150352,
        4.987539429946238,
        4.987559958742121,
        4.987580487538007,
        4.987601016333892,
        4.987621545129776,
        4.98764207392566,
        4.987662602721547,
        4.98768313151743,
        4.987703660313315,
        4.987724189109201,
        4.987744717905085,
        4.987765246700969,
        4.987785775496855,
        4.987806304292739,
        4.987826833088624,
        4.987847361884509,
        4.987867890680395,
        4.9878884194762785,
        4.987908948272164,
        4.9879294770680485,
        4.987950005863933,
        4.987970534659818,
        4.987991063455703,
        4.988011592251587,
        4.988032121047473,
        4.9880526498433575,
        4.988073178639241,
        4.9880937074351275,
        4.988114236231012,
        4.988134765026897,
        4.988155293822781,
        4.9881758226186665,
        4.988196351414552,
        4.988216880210436,
        4.988237409006321,
        4.9882579378022065,
        4.98827846659809,
        4.988298995393975,
        4.988319524189861,
        4.988340052985745,
        4.988360581781629,
        4.9883811105775155,
        4.988401639373399,
        4.988422168169284,
        4.988442696965169,
        4.988463225761054,
        4.988483754556938,
        4.988504283352824,
        4.988524812148709,
        4.988545340944594,
        4.988565869740478,
        4.988586398536363,
        4.988606927332248,
        4.988627456128133,
        4.988647984924017,
        4.988668513719902,
        4.988689042515787,
        4.988709571311672,
        4.988730100107556,
        4.988750628903442,
        4.988771157699326,
        4.988791686495211,
        4.988812215291095,
        4.988832744086981,
        4.988853272882866,
        4.98887380167875,
        4.988894330474635,
        4.988914859270521,
        4.9889353880664045,
        4.988955916862289,
        4.988976445658175,
        4.988996974454059,
        4.9890175032499435,
        4.98903803204583,
        4.9890585608417135,
        4.989079089637598,
        4.9890996184334835,
        4.989120147229368,
        4.9891406760252535,
        4.989161204821138,
        4.9891817336170226,
        4.989202262412908,
        4.9892227912087925,
        4.989243320004677,
        4.9892638488005625,
        4.989284377596447,
        4.989304906392332,
        4.989325435188216,
        4.989345963984102,
        4.989366492779986,
        4.989387021575871,
        4.989407550371756,
        4.989428079167641,
        4.989448607963525,
        4.98946913675941,
        4.989489665555295,
        4.989510194351181,
        4.989530723147064,
        4.989530723147065,
        4.989551251942951,
        4.989571780738835,
        4.989592309534719,
        4.989612838330604,
        4.98963336712649,
        4.989653895922373,
        4.989674424718259,
        4.989694953514143,
        4.990351874982458,
        4.990372403778342,
        4.990392932574228,
        4.990413461370112,
        4.990433990165997,
        4.990454518961882,
        4.990475047757767,
        4.990495576553651,
        4.990516105349537,
        4.990536634145421,
        4.990557162941307,
        4.990577691737191,
        4.990598220533076,
        4.990618749328961,
        4.990639278124845,
        4.99065980692073,
        4.990680335716616,
        4.990700864512499,
        4.990721393308385,
        4.99074192210427,
        4.990762450900155,
        4.990782979696038,
        4.990803508491925,
        4.990824037287809,
        4.990844566083693,
        4.990865094879578,
        4.990885623675464,
        4.990906152471347,
        4.990926681267233,
        4.990947210063118,
        4.990967738859002,
        4.990988267654887,
        4.991008796450772,
        4.991029325246656,
        4.991049854042542,
        4.991070382838426,
        4.991090911634312,
        4.991090911634312,
        4.991111440430196,
        4.991131969226081,
        4.991152498021966,
        4.991173026817851,
        4.9911935556137355,
        4.991214084409621,
        4.991234613205505,
        4.99125514200139,
        4.991275670797275,
        4.991296199593159,
        4.9913167283890445,
        4.99133725718493,
        4.991357785980814,
        4.991378314776698,
        4.991829948286165,
        4.99185047708205,
        4.991871005877935,
        4.991891534673819,
        4.991912063469704,
        4.99193259226559,
        4.991953121061473,
        4.991973649857359,
        4.991994178653244,
        4.992014707449128,
        4.992035236245012,
        4.992055765040899,
        4.992076293836783,
        4.992096822632667,
        4.992117351428553,
        4.992137880224438,
        4.992158409020322,
        4.992178937816207,
        4.992199466612092,
        4.992219995407977,
        4.992240524203861,
        4.992261052999747,
        4.992281581795631,
        4.992302110591516,
        4.9923226393874005,
        4.992343168183286,
        4.9923636969791705,
        4.992384225775055,
        4.992404754570941,
        4.992425283366825,
        4.9924458121627096,
        4.992466340958595,
        4.9924868697544795,
        4.992507398550364,
        4.9925279273462495,
        4.992548456142133,
        4.9925689849380195,
        4.992589513733904,
        4.992610042529788,
        4.992630571325674,
        4.9926511001215585,
        4.992671628917442,
        4.992692157713328,
        4.992712686509213,
        4.992733215305098,
        4.992753744100982,
        4.992774272896868,
        4.992794801692752,
        4.992815330488637,
        4.992835859284521,
        4.992856388080407,
        4.992876916876291,
        4.992897445672176,
        4.99291797446806,
        4.992938503263946,
        4.99295903205983,
        4.992979560855715,
        4.9930000896516,
        4.993020618447485,
        4.993041147243369,
        4.993061676039255,
        4.993082204835139,
        4.993102733631024,
        4.993123262426909,
        4.993143791222794,
        4.993164320018679,
        4.993184848814564,
        4.9932053776104475,
        4.993225906406334,
        4.993246435202218,
        4.993266963998102,
        4.993287492793988,
        4.993308021589873,
        4.9933285503857565,
        4.993349079181642,
        4.993369607977527,
        4.993390136773412,
        4.9934106655692965,
        4.993431194365182,
        4.9934517231610664,
        4.993472251956951,
        4.9934927807528355,
        4.993513309548721,
        4.9935338383446055,
        4.99355436714049,
        4.9935748959363755,
        4.99359542473226,
        4.993615953528145,
        4.99363648232403,
        4.993657011119915,
        4.993677539915799,
        4.9936980687116845,
        4.993718597507569,
        4.993739126303454,
        4.993759655099339
    ],
    "flux": [
        1.06166,
        1.0536,
        1.04553,
        1.03746,
        1.0294,
        1.01325,
        0.97209,
        null,
        0.97992,
        0.9934,
        0.997202,
        0.999818,
        1.00264,
        0.996163,
        0.994786,
        0.997281,
        0.99929,
        1.01275,
        1.02502,
        1.01741,
        1.00565,
        1.00179,
        1.01329,
        1.00593,
        0.993756,
        0.980248,
        1.00666,
        1.00338,
        0.985987,
        0.991287,
        0.976061,
        0.951224,
        0.921349,
        0.915276,
        0.934443,
        0.982983,
        1.00469,
        1.01925,
        1.02597,
        1.01168,
        1.01263,
        1.0194,
        1.01937,
        1.01911,
        1.01092,
        0.98769,
        0.952655,
        0.879433,
        0.762694,
        0.611024,
        0.555361,
        0.586596,
        0.72701,
        0.867928,
        0.982016,
        1.02457,
        1.03109,
        1.02936,
        1.02611,
        1.02314,
        1.0227,
        1.0241,
        1.01959,
        1.01186,
        1.00649,
        1.01616,
        1.02108,
        1.01892,
        1.00553,
        1.0087,
        1.01102,
        1.00998,
        1.00732,
        1.00643,
        1.00766,
        1.01417,
        1.01543,
        1.01523,
        1.01682,
        1.0187,
        1.02004,
        1.02046,
        1.01858,
        1.0204,
        1.02454,
        1.01454,
        1.01397,
        1.01826,
        1.02178,
        1.02557,
        1.02793,
        1.0273,
        1.024,
        1.02173,
        1.02066,
        1.0093,
        1.0111,
        1.01927,
        1.01223,
        1.01054,
        1.00988,
        1.00637,
        1.00869,
        1.00941,
        1.00628,
        1.00713,
        1.00621,
        1.00557,
        1.02209,
        1.02661,
        1.02369,
        1.01585,
        1.01388,
        1.01274,
        1.01017,
        1.0142,
        1.01308,
        1.006,
        1.00298,
        1.00349,
        1.00574,
        1.00575,
        1.0117,
        1.01376,
        1.00187,
        0.998409,
        0.997772,
        0.999033,
        0.996973,
        1.00591,
        1.02104,
        1.01786,
        1.02459,
        1.02935,
        1.01484,
        1.00946,
        1.00803,
        1.00973,
        1.00564,
        1.00881,
        1.01821,
        1.01756,
        1.02182,
        1.02603,
        1.01979,
        1.01096,
        1.00552,
        1.00833,
        1.01026,
        1.01265,
        1.01539,
        1.00887,
        1.00249,
        0.997066,
        0.995993,
        0.991157,
        0.990903,
        1.00483,
        0.9968,
        0.982545,
        0.964547,
        0.976912,
        0.974189,
        0.964987,
        null,
        1.00783,
        0.981232,
        0.986308,
        0.998691,
        1.00209,
        1.00386,
        1.00958,
        1.02039,
        1.0112,
        1.01652,
        1.03005,
        1.02996,
        1.02271,
        1.01739,
        1.02487,
        1.02457,
        1.02306,
        1.02185,
        1.02023,
        1.0194,
        1.0192,
        1.01847,
        1.01904,
        1.02159,
        1.02827,
        1.02504,
        1.0266,
        1.03972,
        1.03556,
        1.03742,
        1.04416,
        1.03353,
        1.03384,
        1.03702,
        1.02972,
        1.03841,
        1.04106,
        1.02401,
        1.03033,
        1.03257,
        1.028,
        1.01705,
        1.01288,
        1.01378,
        1.01926,
        1.02836,
        1.03476,
        1.03341,
        1.0297,
        1.03077,
        1.03722,
        1.03257,
        1.03124,
        1.03128,
        1.02732,
        1.03308,
        1.03933,
        1.03937,
        1.03492,
        1.03403,
        1.0384,
        1.03465,
        1.03205,
        1.03102,
        1.03425,
        1.02991,
        1.02805,
        1.04039,
        1.05146,
        1.05363,
        1.04418,
        1.0382,
        1.03949,
        1.04508,
        1.04147,
        1.0392,
        1.03762,
        1.03634,
        1.03474,
        1.0312,
        1.02501,
        1.03002,
        1.02829,
        1.02081,
        1.01547,
        1.01583,
        1.01789,
        1.01719,
        1.0224,
        1.02395,
        1.01825,
        1.01349,
        1.00915,
        1.00614,
        1.01228,
        1.01717,
        1.02011,
        1.01885,
        1.01409,
        1.01227,
        1.01631,
        1.00954,
        1.00148,
        0.993966,
        1.00033,
        0.9946,
        0.985576,
        0.986648,
        0.986741,
        0.987857,
        0.991069,
        0.97822,
        0.973509,
        0.977089,
        0.981155,
        0.993493,
        1.00512,
        0.997718,
        0.998483,
        1.00139,
        1.00425,
        1.00891,
        1.01088,
        1.01124,
        1.02405,
        1.02525,
        1.01953,
        1.01112,
        1.01394,
        1.01584,
        1.01054,
        1.01052,
        1.00687,
        0.998966,
        0.989744,
        0.990587,
        0.997532,
        1.00625,
        0.995833,
        0.978281,
        0.957215,
        0.933339,
        0.920672,
        0.917697,
        0.898385,
        0.818655,
        0.682869,
        0.460805,
        0.319287,
        0.26618,
        0.334979,
        0.460357,
        0.581492,
        0.68885,
        0.734186,
        null,
        1.00156,
        0.98584,
        0.99723,
        1.03745,
        1.01733,
        1.00123,
        0.993921,
        1.00914,
        1.026,
        1.04078,
        1.04669,
        1.04789,
        1.04585,
        1.04039,
        1.03322,
        1.02642,
        1.021,
        1.02374,
        1.03019,
        1.03412,
        1.02571,
        1.03293,
        1.03492,
        1.02428,
        1.02976,
        1.03176,
        1.03044,
        1.02824,
        1.0286,
        1.02868,
        1.02488,
        1.02702,
        1.02759,
        1.02432,
        1.02151,
        1.0238,
        1.02698,
        1.00941,
        1.00976,
        1.01605,
        1.01814,
        1.01653,
        1.01041,
        0.999037,
        0.994677,
        1.00185,
        1.01518,
        1.0131,
        1.00802,
        1.00598,
        1.01447,
        1.01633,
        1.01762,
        1.0195,
        1.01834,
        1.01629,
        1.01615,
        1.02756,
        1.02502,
        1.02212,
        1.0283,
        1.02539,
        1.01814,
        1.00801,
        1.01708,
        1.01725,
        1.0141,
        1.02076,
        1.01112,
        1.00578,
        1.01928,
        1.01498,
        1.01685,
        1.0262,
        1.02432,
        1.02901,
        1.03516,
        1.03396,
        1.03186,
        1.03335,
        1.04142,
        1.02692,
        1.01999,
        1.02284,
        1.03923,
        1.04669,
        1.04633,
        1.03585,
        1.04191,
        1.04343,
        1.03317,
        1.03363,
        1.03516,
        1.03587,
        1.02583,
        1.02133,
        1.02086,
        1.02478,
        1.02818,
        1.02829,
        1.02405,
        1.02126,
        1.02367,
        1.02913,
        1.03084,
        1.02705,
        1.01939,
        1.00753,
        1.00692,
        1.01297,
        1.02407,
        1.0147,
        1.00635,
        1.00313,
        1.01896,
        1.01673,
        1.01521,
        1.02615,
        1.02942,
        1.0295,
        1.02613,
        1.01189,
        1.00493,
        0.999306,
        0.98484,
        0.966559,
        0.952611,
        0.94765,
        0.976967,
        0.998658,
        1.01136,
        1.01582,
        1.02348,
        1.03123,
        1.03511,
        1.0383,
        1.0383,
        1.03397,
        1.02687,
        1.01692,
        1.00649,
        1.00549,
        1.01251,
        1.02038,
        1.0231,
        0.989737,
        0.936669,
        0.862994,
        0.71228,
        0.617087,
        0.591621,
        0.710603,
        0.834381,
        0.942705,
        1.02014,
        1.04266,
        null,
        1.01803,
        1.01674,
        1.01823,
        1.01965,
        1.02009,
        1.01832,
        1.01435,
        1.00914,
        1.00959,
        1.01254,
        1.01363,
        1.01611,
        1.0167,
        1.01391,
        1.01526,
        1.0192,
        1.0248,
        1.02805,
        1.02699,
        1.02717,
        1.03511,
        1.03709,
        1.0341,
        1.02653,
        1.03229,
        1.03754,
        1.04106,
        1.03879,
        1.03507,
        1.02889,
        1.01877,
        1.02979,
        1.03579,
        1.03558,
        1.03949,
        1.03626,
        1.02929,
        1.02204,
        1.03147,
        1.03592,
        1.02791,
        1.01504,
        1.01713,
        1.02776,
        1.02065,
        1.01896,
        1.02011,
        1.02295,
        1.02361,
        1.01996,
        1.01274,
        1.02472,
        1.02727,
        1.0238,
        1.01882,
        1.02373,
        1.02937,
        1.03193,
        1.02683,
        1.01757,
        1.00639,
        1.00586,
        1.01604,
        1.027,
        1.02777,
        1.02233,
        1.02175,
        1.02877,
        1.03261,
        1.03735,
        1.039,
        1.02367,
        1.02799,
        1.03437,
        1.03308,
        1.0435,
        1.04484,
        1.03679,
        1.03269,
        1.03615,
        1.04189,
        1.04297,
        1.04106,
        1.0387,
        1.03653,
        1.03053,
        1.02926,
        1.03223,
        1.03892,
        1.04744,
        1.05247,
        1.04861,
        1.05037,
        1.05598,
        1.06298,
        1.04512,
        1.04784,
        1.05866,
        1.05943,
        1.06414,
        1.06231,
        1.04902,
        1.05587,
        1.05645,
        1.05273,
        1.05518,
        1.05613,
        1.05612,
        1.05519,
        1.05247,
        1.05214,
        1.05402,
        1.04382,
        1.0456,
        1.04901,
        1.03434,
        1.02862,
        1.02603,
        1.02483,
        1.03396,
        1.03734,
        1.03498,
        1.02709,
        1.02459,
        1.02598,
        1.0317,
        1.02803,
        1.02833,
        1.03353,
        1.01888,
        1.01304,
        1.01515,
        1.02767,
        1.02453,
        1.01981,
        1.01855,
        1.01636,
        1.01919,
        1.02481,
        1.02178,
        1.02332,
        1.02519,
        1.0237,
        1.03031,
        1.03553,
        1.03764,
        1.03283,
        1.02523,
        1.01906,
        1.02412,
        1.02762,
        1.0227,
        1.00491,
        1.01238,
        1.00773,
        0.997633,
        1.01702,
        null,
        1.01038,
        1.02506,
        1.03585,
        1.03829,
        1.01656,
        1.01807,
        1.02822,
        1.02994,
        1.02488,
        1.02648,
        1.03886,
        1.03125,
        1.02186,
        1.01399,
        1.01874,
        1.02788,
        1.03521,
        1.03656,
        1.02928,
        1.02705,
        1.03031,
        1.03513,
        1.04142,
        1.047,
        1.0488,
        1.04946,
        1.04762,
        1.04322,
        1.04949,
        1.05001,
        1.04863,
        1.05337,
        1.05896,
        1.06175,
        1.05952,
        1.04961,
        1.04692,
        1.05024,
        1.05183,
        1.04831,
        1.04816,
        1.05998,
        1.05239,
        1.04741,
        1.04769,
        1.04956,
        1.04893,
        1.04804,
        1.05058,
        1.04247,
        1.03789,
        1.04145,
        1.03376,
        1.02647,
        1.02003,
        1.01625,
        1.02121,
        1.02434,
        1.01867,
        1.02511,
        1.02621,
        1.02109,
        1.01199,
        1.01239,
        1.01646,
        1.01915,
        1.01198,
        1.00589,
        1.0033,
        1.00829,
        1.01595,
        1.02189,
        1.01599,
        1.01045,
        1.00225,
        0.989861,
        0.999967,
        1.00059,
        0.993486,
        0.985581,
        0.992414,
        0.999683,
        0.997949,
        0.990673,
        0.994325,
        1.00716,
        1.00018,
        1.001,
        1.00362,
        1.0014,
        1.00172,
        0.999017,
        0.992519,
        0.99612,
        0.999765,
        1.00139,
        0.995032,
        0.982702,
        0.978784,
        0.99041,
        0.997511,
        0.993781,
        0.984829,
        0.9918,
        0.991441,
        0.990844,
        0.994991,
        1.00252,
        1.00605,
        1.00622,
        1.0142,
        1.02143,
        1.02719,
        1.02988,
        1.02769,
        1.02943,
        1.03633,
        1.0318,
        1.03243,
        1.03585,
        1.03862,
        1.04032,
        1.04427,
        1.05197,
        1.04151,
        1.02974,
        1.01987,
        1.02359,
        1.02773,
        1.02756,
        1.01861,
        1.01542,
        1.0162,
        1.01756,
        0.999439,
        0.982405,
        0.965631,
        0.948365,
        0.957849,
        0.950815,
        0.913946,
        0.774146,
        0.582378,
        0.396841,
        0.32429,
        0.379692,
        0.496258,
        0.658656,
        0.744909,
        0.78592,
        0.807258,
        0.875187,
        0.949781,
        0.996867,
        0.992124,
        1.01005,
        1.0207,
        1.02076,
        0.996973,
        null,
        1.00888,
        1.01954,
        1.01872,
        1.03052,
        1.04344,
        1.02211,
        1.01511,
        1.01669,
        1.02576,
        1.02654,
        1.025,
        1.02255,
        1.02471,
        1.03242,
        1.03356,
        1.01741,
        1.02327,
        1.02745,
        1.0281,
        1.02944,
        1.03087,
        1.03394,
        1.04089,
        1.04469,
        1.04199,
        1.03289,
        1.03507,
        1.03371,
        1.03142,
        1.03191,
        1.02836,
        1.02598,
        1.02628,
        1.02627,
        1.02571,
        1.02686,
        1.03566,
        1.03615,
        1.03226,
        1.02465,
        1.03153,
        1.02934,
        1.02194,
        1.02308,
        1.02245,
        1.02007,
        1.0155,
        1.02295,
        1.02447,
        1.02062,
        1.01995,
        1.01872,
        1.01727,
        1.0158,
        1.00312,
        0.985737,
        0.967221,
        0.97436,
        0.986428,
        1.00072,
        1.01499,
        1.01793,
        1.01972,
        1.02164,
        1.01981,
        1.01531,
        1.01509,
        1.03259,
        1.02727,
        1.02337,
        1.02625,
        1.01408,
        1.01186,
        1.01557,
        1.01973,
        1.02167,
        1.02104,
        1.01737,
        1.00659,
        1.00191,
        0.999822,
        0.990738,
        0.909001,
        0.792771,
        0.652888,
        0.646727,
        0.717835,
        0.844044,
        0.960255,
        1.01283,
        1.03738,
        1.04987,
        1.05004,
        1.05388,
        1.05797,
        1.03828,
        1.03731,
        1.04163,
        1.04247,
        1.03689,
        1.02944,
        1.02209,
        1.02818,
        1.02386,
        1.01639,
        1.01281,
        1.02661,
        1.03741,
        1.04148,
        1.03386,
        1.03411,
        1.03747,
        1.03888,
        1.04285,
        1.03878,
        1.02562,
        1.02392,
        1.02463,
        1.02414,
        1.01608,
        1.01721,
        1.02197,
        1.02894,
        1.02973,
        1.02877,
        1.02637,
        1.02272,
        1.03953,
        1.05337,
        1.05584,
        1.05709,
        1.04584,
        1.02897,
        1.02311,
        1.0246,
        1.02237,
        1.01133,
        1.00911,
        1.0131,
        1.01971,
        1.01852,
        1.02236,
        1.0223,
        1.01331,
        1.00955,
        1.01236,
        1.0206,
        1.03145,
        1.03226,
        1.02465,
        1.00758,
        1.0151,
        1.01816,
        1.0184,
        1.02874,
        1.03213,
        1.0236,
        0.996653,
        1.00877,
        null,
        0.97362,
        0.981722,
        0.995977,
        1.01635,
        1.04055,
        1.04455,
        1.04502,
        1.04329,
        1.04012,
        1.04839,
        1.0487,
        1.0387,
        1.03614,
        1.03455,
        1.03662,
        1.04769,
        1.05376,
        1.05055,
        1.03752,
        1.03077,
        1.03295,
        1.04351,
        1.0649,
        1.06196,
        1.05907,
        1.0609,
        1.0452,
        1.04329,
        1.04872,
        1.05437,
        1.05729,
        1.05717,
        1.05383,
        1.04964,
        1.0519,
        1.05505,
        1.04926,
        1.03923,
        1.04037,
        1.05703,
        1.05622,
        1.05425,
        1.05226,
        1.05275,
        1.04859,
        1.04916,
        1.05663,
        1.0507,
        1.04351,
        1.03928,
        1.04769,
        1.04586,
        1.04441,
        1.04632,
        1.03888,
        1.03792,
        1.03985,
        1.03732,
        1.04131,
        1.04091,
        1.03275,
        1.02694,
        1.03339,
        1.04289,
        1.03659,
        1.03277,
        1.03421,
        1.04227,
        1.0377,
        1.03483,
        1.03195,
        1.02536,
        1.01708,
        1.01287,
        1.01491,
        1.02283,
        1.03152,
        1.03702,
        1.0287,
        1.02825,
        1.02931,
        1.0301,
        1.03489,
        1.03088,
        1.02402,
        1.02643,
        1.02932,
        1.03304,
        1.0376,
        1.02952,
        1.0316,
        1.03592,
        1.0272,
        1.02681,
        1.02556,
        1.02076,
        1.02766,
        1.03241,
        1.03518,
        1.0358,
        1.0271,
        1.0221,
        1.02461,
        1.02345,
        1.02139,
        1.01827,
        1.0134,
        1.01063,
        1.00951,
        1.01007,
        1.01281,
        1.01252,
        1.01139,
        1.01347,
        1.01968,
        1.02546,
        1.02935,
        1.02368,
        1.01673,
        1.01097,
        1.01131,
        1.01171,
        1.01772,
        1.02996,
        1.02796,
        1.02154,
        1.01661,
        1.02377,
        1.02201,
        1.01813,
        1.01393,
        1.0182,
        1.02984,
        1.03999,
        1.03415,
        1.03053,
        1.031,
        1.03542,
        1.03408,
        1.04076,
        1.0472,
        1.0425,
        1.04904,
        1.05367,
        1.05311,
        1.03776,
        1.04169,
        1.04853,
        1.04074,
        1.03639,
        1.03305,
        1.03051,
        1.02978,
        1.03157,
        1.02953,
        1.01555,
        1.01448,
        1.0195,
        1.02731,
        1.02135,
        null,
        1.0119,
        1.02495,
        1.02026,
        1.02723,
        1.04162,
        1.04073,
        1.03689,
        1.03928,
        1.05392,
        1.06356,
        1.06004,
        1.05049,
        1.06085,
        1.05383,
        1.04765,
        1.0509,
        1.0628,
        1.06211,
        1.05283,
        1.04394,
        1.05276,
        1.06097,
        1.06177,
        1.05745,
        1.05262,
        1.05051,
        1.05901,
        1.05997,
        1.05384,
        1.04047,
        1.03,
        1.03556,
        1.0459,
        1.042,
        1.04463,
        1.04674,
        1.04651,
        1.04108,
        1.04211,
        1.04115,
        1.02538,
        1.02824,
        1.02882,
        1.02471,
        1.03166,
        1.02386,
        1.01526,
        1.0214,
        1.02852,
        1.03121,
        1.02943,
        1.02886,
        1.0296,
        1.02973,
        1.02725,
        1.03321,
        1.03483,
        1.03271,
        1.03567,
        1.03874,
        1.03776,
        1.02885,
        1.03126,
        1.03617,
        1.04217,
        1.04536,
        1.04295,
        1.03859,
        1.03382,
        1.0391,
        1.04005,
        1.03857,
        1.04068,
        1.03808,
        1.03833,
        1.04435,
        1.03798,
        1.03519,
        1.03312,
        1.02553,
        1.02748,
        1.02837,
        1.02444,
        1.0025,
        1.00799,
        1.0213,
        1.01227,
        1.01151,
        1.01073,
        1.00816,
        1.00318,
        1.00513,
        1.00572,
        0.994212,
        1.0069,
        1.00215,
        0.978763,
        0.971443,
        0.971846,
        0.973572,
        null,
        0.984867,
        0.979818,
        0.983997,
        0.987355,
        0.995318,
        1.00954,
        1.02119,
        1.0184,
        1.00902,
        1.00338,
        1.00853,
        1.01417,
        1.01859,
        1.02458,
        1.02247,
        1.01323,
        0.995648,
        0.996708,
        1.00096,
        1.00354,
        0.985934,
        0.971657,
        0.963248,
        0.964193,
        0.956798,
        0.914131,
        0.823594,
        0.631929,
        0.466813,
        0.379215,
        0.406709,
        0.546135,
        0.678349,
        0.785795,
        0.819159,
        0.860011,
        0.904539,
        0.951359,
        0.988124,
        1.00618,
        1.01042,
        1.00385,
        0.993092,
        0.988179,
        0.990938,
        0.99792,
        null,
        0.930477,
        0.94479,
        0.959103,
        0.973415,
        0.987727,
        0.981528,
        0.970367,
        0.979705,
        0.983783,
        0.988348,
        0.992643,
        0.977916,
        0.972105,
        0.975177,
        0.989074,
        0.994537,
        0.993657,
        0.98677,
        0.972731,
        0.977504,
        0.981275,
        0.974714,
        0.98682,
        0.993649,
        0.99407,
        0.98433,
        0.978498,
        0.975414,
        0.975399,
        0.985213,
        0.982973,
        0.977888,
        0.979029,
        0.980109,
        0.979048,
        0.976722,
        0.978402,
        0.981408,
        0.979965,
        0.96992,
        0.985562,
        0.984853,
        0.976425,
        0.979735,
        0.976167,
        0.97157,
        0.967059,
        0.957888,
        0.965957,
        0.973305,
        0.959777,
        0.955876,
        0.954381,
        0.951356,
        0.931397,
        0.916406,
        0.907353,
        0.906077,
        0.924775,
        0.927963,
        0.92626,
        0.945382,
        0.9511,
        0.954845,
        0.96075,
        0.987331,
        0.971398,
        0.947565,
        0.953799,
        0.963279,
        0.973798,
        0.983703,
        0.985754,
        1.00114,
        1.00927,
        0.997783,
        1.01129,
        1.0099,
        1.00176,
        1.00787,
        1.01154,
        1.00512,
        0.989163,
        1.01419,
        1.01911,
        1.0058,
        0.972118,
        null,
        0.982904,
        0.992189,
        0.967937,
        0.956143,
        1.00513,
        1.03876,
        1.03609,
        1.00613,
        0.981877,
        0.999747,
        1.02347,
        1.03947,
        1.02882,
        1.00834,
        0.997864,
        1.03423,
        1.025,
        1.01518,
        1.01174,
        1.00929,
        1.0121,
        1.00874,
        0.990653,
        0.97797,
        0.983552,
        0.997163,
        0.995237,
        0.995174,
        1.00073,
        1.01204,
        1.00387,
        1.0017,
        1.00042,
        0.994281,
        1.00312,
        0.996104,
        0.979173,
        0.989233,
        0.996612,
        0.999351,
        0.996132,
        0.988032,
        0.988754,
        0.993565,
        0.995804,
        0.994269,
        0.992053,
        0.991358,
        1.00295,
        1.00656,
        1.00433,
        0.996315,
        1.00091,
        1.00052,
        0.994035,
        0.979175,
        0.989171,
        0.997244,
        0.996864,
        1.01023,
        1.00936,
        1.00465,
        1.00642,
        1.00365,
        0.995845,
        0.985755,
        0.983879,
        0.981188,
        0.980629,
        0.983842,
        0.998844,
        0.99355,
        0.981048,
        0.979294,
        0.993325,
        1.00441,
        1.00758,
        0.989482,
        0.993089,
        1.01902,
        1.07065,
        1.02948,
        1.00449,
        0.996402,
        1.00816,
        1.00033,
        0.995189,
        0.99737,
        1.00432,
        1.00566,
        1.00704,
        1.01299,
        1.01139,
        1.00832,
        1.0046,
        1.00165,
        1.00141,
        1.00266,
        1.00451,
        0.997645,
        0.99853,
        1.0029,
        1.0068,
        1.0057,
        1.00348,
        1.0009,
        0.99943,
        1.00918,
        1.01286,
        1.00284,
        0.997424,
        1.00796,
        1.02121,
        1.01704,
        1.00958,
        1.00685,
        1.00862,
        1.00619,
        1.0039,
        1.00051,
        0.995097,
        1.00892,
        1.01161,
        1.00984,
        1.01818,
        1.0409,
        1.04217,
        1.0161,
        0.990539,
        0.979077,
        0.98237,
        1.00392,
        1.00516,
        0.996968,
        0.988054,
        1.00282,
        1.00508,
        1.00125,
        0.993893,
        0.998401,
        1.00073,
        1.00328,
        1.0088,
        1.01498,
        1.01024,
        1.00026,
        1.00593,
        1.00659,
        1.0062,
        1.00581,
        0.998449,
        0.998422,
        1.00274,
        1.00853,
        1.01423,
        1.01679,
        1.01619,
        1.01373,
        1.01574,
        1.02109,
        1.02949,
        1.02404,
        1.01827,
        1.01462,
        1.01728,
        1.01411,
        1.01277,
        1.0128,
        1.00582,
        1.00496,
        1.0079,
        1.01383,
        1.00437,
        1.00318,
        1.00696,
        1.00972,
        1.0093,
        1.01258,
        1.02078,
        1.03105,
        1.03069,
        1.02379,
        1.01191,
        1.01726,
        1.02055,
        1.02006,
        1.01195,
        1.00628,
        1.00301,
        1.00325,
        1.01714,
        1.01144,
        1.00139,
        0.999181,
        1.0042,
        1.00767,
        1.00825,
        1.00255,
        1.00691,
        1.00691,
        1.0007,
        1.0156,
        1.01174,
        1.00306,
        1.00213,
        1.00934,
        1.01775,
        1.02203,
        1.00758,
        1.00844,
        1.00924,
        1.00441,
        0.980181,
        0.987223,
        1.00315,
        1.00555,
        1.00244,
        1.00616,
        1.01131,
        0.99827,
        1.00205,
        1.00635,
        1.00634,
        1.01492,
        1.016,
        1.0098,
        0.995129,
        0.999929,
        1.01019,
        1.01831,
        1.00068,
        0.996926,
        0.996497,
        0.995996,
        1.00345,
        1.00365,
        1.0042,
        1.01416,
        1.01327,
        1.01215,
        1.01208,
        1.01442,
        1.00663,
        0.999026,
        0.996255,
        1.00353,
        0.999557,
        0.995013,
        1.00285,
        1.00175,
        1.00234,
        1.00576,
        1.01208,
        1.00882,
        1.0096,
        1.01899,
        1.01235,
        1.00788,
        1.00596,
        1.00764,
        1.01304,
        1.02011,
        1.02681,
        1.02563,
        1.03038,
        1.03366,
        1.03221,
        1.02676,
        1.02703,
        1.0284,
        1.02545,
        1.02794,
        1.03145,
        1.03548,
        1.04007,
        1.04192,
        1.04637,
        1.05537,
        1.06148,
        1.05895,
        1.05321,
        1.05079,
        1.04843,
        1.04772,
        1.04895,
        1.05287,
        1.05493,
        1.05286,
        1.04595,
        1.04727,
        1.04633,
        1.04376,
        1.03996,
        1.03537,
        1.03008,
        1.03014,
        1.05802,
        1.06003,
        1.0592,
        1.06373,
        1.06625,
        1.05882,
        1.04383,
        1.02217,
        1.0279,
        1.02234,
        1.00733,
        1.0003,
        1.00768,
        1.01307,
        1.01097,
        1.00608,
        1.00581,
        1.00921,
        1.01621,
        1.01598,
        1.01147,
        1.00645,
        1.01148,
        0.992874,
        0.98729,
        1.00441,
        1.01178,
        1.00896,
        1.00603,
        1.01181,
        1.01611,
        1.01626,
        1.01056,
        0.994257,
        0.996077,
        0.999763,
        1.00196,
        1.01327,
        1.01128,
        1.00589,
        1.00424,
        1.01142,
        1.01472,
        1.01203,
        0.998985,
        1.00413,
        1.00159,
        0.982264,
        0.927644,
        0.951889,
        0.994074,
        1.01441,
        1.00832,
        1.00163,
        0.997885,
        1.00359,
        1.00065,
        0.998124,
        0.998506,
        1.00541,
        1.00593,
        1.00679,
        1.01209,
        1.00291,
        1.00444,
        1.01106,
        1.01362,
        1.00654,
        0.998423,
        0.990312,
        0.981269,
        0.967592,
        0.96756,
        0.990442,
        0.997912,
        1.00461,
        1.00776,
        1.00291,
        1.00193,
        1.002,
        1.00133,
        0.994066,
        0.999697,
        1.00117,
        0.99237,
        0.994536,
        1.00145,
        1.00497,
        0.995087,
        0.994763,
        0.990885,
        0.984177,
        0.979805,
        0.977421,
        0.979909,
        0.988054,
        0.99815,
        0.994832,
        0.99445,
        1.01243,
        0.998414,
        0.997209,
        1.01119,
        null,
        1.04154,
        1.03868,
        0.994455,
        1.01421,
        1.02115,
        1.0031,
        0.98467,
        0.978188,
        0.984188,
        0.999501,
        0.986374,
        0.975368,
        0.977493,
        0.973652,
        0.965962,
        0.96092,
        0.966236,
        0.972293,
        0.967732,
        0.957715,
        0.960116,
        0.955294,
        0.947757,
        0.939926,
        0.943592,
        0.981443,
        1.00513,
        0.974011,
        0.976753,
        0.971477,
        0.96425,
        0.969159,
        0.977924,
        0.982998,
        0.985773,
        1.00379,
        1.00132,
        0.997913,
        1.00326,
        0.989727,
        0.987995,
        0.992053,
        0.993801,
        0.996466,
        1.00877,
        1.02292,
        1.00494,
        1.00487,
        1.0078,
        1.00773,
        0.997591,
        0.993443,
        0.988433,
        0.975663,
        0.978396,
        0.985162,
        0.987783,
        0.965587,
        0.867228,
        0.742156,
        0.61424,
        0.580146,
        0.621267,
        0.707582,
        0.824966,
        0.850398,
        0.85761,
        0.866778,
        0.912695,
        0.957254,
        0.986671,
        1.00101,
        1.007,
        1.00086,
        0.992178,
        0.98548,
        0.990609,
        0.990055,
        0.984921,
        0.975538,
        0.972731,
        0.975682,
        0.981501,
        0.982417,
        0.986901,
        0.990116,
        0.990398,
        0.986121,
        0.989457,
        0.989188,
        0.976698,
        0.985893,
        0.988622,
        0.98879,
        0.994332,
        0.993463,
        0.992033,
        0.991892,
        0.997587,
        0.998588,
        1.00419,
        1.01797,
        0.999402,
        0.996426,
        1.00115,
        1.00501,
        0.994372,
        0.988142,
        0.98674,
        0.987331,
        0.990421,
        0.994669,
        0.999669,
        1.0045,
        0.998948,
        0.992234,
        0.990766,
        0.995479,
        0.998318,
        0.999431,
        0.998965,
        0.999993,
        0.998651,
        0.995762,
        0.99783,
        0.997175,
        0.998585,
        1.00353,
        0.998236,
        1.00266,
        1.01079,
        1.017,
        1.0162,
        1.0115,
        1.00459,
        0.999218,
        1.00707,
        1.00831,
        1.00122,
        1.00991,
        1.01413,
        1.01594,
        1.0163,
        1.01618,
        1.01719,
        1.01793,
        1.01614,
        1.01151,
        1.01248,
        1.0175,
        1.01679,
        1.01348,
        1.01497,
        1.02273,
        1.01507,
        1.00442,
        1.0032,
        1.0233,
        1.01776,
        1.01752,
        1.02293,
        1.03369,
        1.03816,
        1.03151,
        1.01633,
        1.01096,
        1.00716,
        1.00384,
        1.00086,
        1.00771,
        1.00654,
        1.00661,
        1.01898,
        1.01446,
        1.00804,
        1.00392,
        1.01111,
        0.998935,
        0.992895,
        0.99626,
        0.983447,
        0.986067,
        0.996212,
        1.0098,
        1.0121,
        1.01069,
        1.00579,
        0.996984,
        0.998775,
        1.0059,
        1.0137,
        1.00732,
        1.00726,
        1.00734,
        1.00589,
        1.00678,
        1.00773,
        1.00943,
        1.01245,
        1.01454,
        1.01512,
        1.01369,
        1.00896,
        1.00733,
        1.00506,
        1.00206,
        1.00043,
        1.00424,
        1.00746,
        1.00788,
        1.00986,
        1.01128,
        1.01166,
        1.01039,
        1.01845,
        1.02108,
        1.01877,
        1.01348,
        1.01608,
        1.0126,
        1.00261,
        0.997507,
        1.0043,
        1.0109,
        1.01207,
        1.01739,
        1.01986,
        1.01596,
        1.001,
        1.00332,
        1.01213,
        1.01905,
        1.00565,
        1.01045,
        1.0095,
        1.00004,
        0.999309,
        0.994483,
        0.993411,
        1.00003,
        1.00075,
        0.998356,
        0.998534,
        1.00824,
        0.998521,
        0.999417,
        1.00588,
        0.997354,
        0.997568,
        0.999178,
        1.00079,
        1.00508,
        1.00222,
        0.999019,
        0.999206,
        1.00679,
        1.00292,
        0.998027,
        1.00491,
        1.00509,
        0.998104,
        0.988872,
        0.990549,
        0.991266,
        0.991516,
        0.991745,
        0.994666,
        0.993463,
        0.993743,
        0.998791,
        0.997381,
        1.00108,
        1.00429,
        0.999458,
        1.00341,
        1.00822,
        1.01138,
        1.00776,
        1.00779,
        1.00839,
        1.00833,
        1.00446,
        1.00223,
        1.00249,
        1.00595,
        1.0113,
        1.01649,
        1.02104,
        1.02418,
        1.00945,
        1.00235,
        1.00305,
        1.00784,
        1.00795,
        1.00703,
        1.00649,
        1.01049,
        1.02012,
        1.0232,
        1.01308,
        1.01202,
        1.01398,
        1.01735,
        1.02033,
        1.01736,
        1.01774,
        1.02087,
        1.0234,
        1.02343,
        1.01942,
        1.01338,
        1.02115,
        1.01625,
        1.01518,
        1.0262,
        1.02255,
        1.02258,
        1.02103,
        1.01132,
        1.015,
        1.01221,
        1.00716,
        1.01255,
        1.00817,
        1.00834,
        1.01384,
        1.01217,
        1.00862,
        1.00947,
        1.01673,
        1.0047,
        1.00477,
        1.00971,
        1.0131,
        1.00747,
        1.00532,
        1.00892,
        1.02262,
        1.01699,
        1.01351,
        1.01451,
        1.01265,
        1.01712,
        1.0199,
        1.01882,
        1.02969,
        1.03349,
        1.0328,
        1.02916,
        1.02488,
        1.02515,
        1.02801,
        1.03016,
        1.03758,
        1.04759,
        1.05264,
        1.02445,
        1.02317,
        1.02739,
        1.03188,
        1.04899,
        1.05517,
        1.05587,
        1.05431,
        1.04311,
        1.04201,
        1.04799,
        1.0571,
        1.04941,
        1.04463,
        1.04395,
        1.04612,
        1.05286,
        1.05201,
        1.04315,
        1.0449,
        1.05266,
        1.06144,
        1.06843,
        1.06448,
        1.05739,
        1.05023,
        1.04633,
        1.0641,
        1.0725,
        1.06976,
        1.05554,
        1.05349,
        1.05822,
        1.0644,
        1.04905,
        1.04295,
        1.04275,
        1.0484,
        1.0732,
        1.07318,
        1.06066,
        1.04384,
        1.01151,
        1.01505,
        1.03902,
        1.0583,
        1.06032,
        1.05336,
        1.03915,
        1.0205,
        1.04154,
        1.06047,
        1.06458,
        1.05024,
        1.03961,
        1.03373,
        1.03384,
        1.04112,
        1.02873,
        1.01326,
        1.01371,
        1.01592,
        1.02319,
        1.02923,
        1.01703,
        1.0266,
        1.02354,
        1.00833,
        1.01544,
        1.01241,
        1.00959,
        1.01084,
        1.00902,
        1.00521,
        1.00074,
        0.996618,
        0.986089,
        0.9808,
        0.980688,
        0.986529,
        1.00193,
        1.00971,
        1.01238,
        1.02451,
        1.03069,
        1.02246,
        1.00366,
        1.01574,
        1.01263,
        1.00889,
        1.01261,
        1.01449,
        1.01906,
        1.0213,
        1.01575,
        1.01077,
        1.00876,
        1.0098,
        1.01459,
        1.01253,
        1.01029,
        1.00931,
        1.01087,
        1.01098,
        1.01442,
        1.02058,
        1.00952,
        1.00255,
        1.00037,
        1.00407,
        1.00663,
        1.00512,
        1.00521,
        1.01461,
        1.01556,
        1.01707,
        1.01814,
        1.01476,
        1.01219,
        1.01512,
        1.02039,
        1.00427,
        1.00379,
        1.00266,
        0.995093,
        0.996049,
        0.9589,
        0.902284,
        0.838509,
        0.841122,
        0.872504,
        0.922828,
        0.980883,
        1.0145,
        1.03554,
        1.04316,
        1.02946,
        1.03266,
        1.04228,
        1.05171,
        1.03698,
        1.03675,
        1.03473,
        1.0253,
        1.03042,
        1.02936,
        1.02468,
        1.01804,
        1.02213,
        1.02307,
        1.02317,
        1.02668,
        1.02341,
        1.02281,
        1.02533,
        1.02922,
        1.02201,
        1.01692,
        1.01627,
        1.01471,
        1.01682,
        1.02064,
        1.02503,
        1.02455,
        1.01878,
        1.01162,
        1.00601,
        1.00433,
        1.01085,
        1.02089,
        1.02795,
        1.02562,
        1.0278,
        1.03187,
        1.02439,
        1.03048,
        1.03124,
        1.02497,
        1.03075,
        1.01995,
        1.01289,
        1.01765,
        1.01028,
        1.01459,
        1.0191,
        1.01451,
        1.00911,
        1.00781,
        1.01007,
        1.01542,
        1.01262,
        1.01088,
        1.01001,
        1.00741,
        1.00064,
        0.996974,
        0.997407,
        0.999536,
        1.00009,
        1.00015,
        1.00013,
        1.00043,
        1.00262,
        1.0011,
        0.991941,
        0.991142,
        0.992641,
        0.993735,
        0.991015,
        0.985634,
        0.976396,
        0.970139,
        0.982446,
        0.979093,
        0.978465,
        0.980917,
        0.975745,
        0.96819,
        0.972986,
        0.991138,
        0.988337,
        0.990337,
        0.995454,
        1.00233,
        0.991897,
        0.995517,
        1.00218,
        1.00085,
        1.01619,
        1.0131,
        1.00246,
        1.00604,
        1.00629,
        1.00651,
        1.00721,
        1.00865,
        1.00813,
        1.0095,
        1.01362,
        1.01916,
        1.02192,
        1.01614,
        1.00044,
        null,
        0.990171,
        0.992614,
        1.00153,
        1.00517,
        1.00144,
        0.998356,
        1.00244,
        1.00303,
        0.996354,
        0.994197,
        0.997599,
        1.00549,
        1.01738,
        1.01711,
        1.01663,
        1.01702,
        1.01973,
        1.01583,
        1.01431,
        1.01588,
        1.02106,
        1.00851,
        1.00376,
        1.00877,
        1.01454,
        1.01973,
        1.021,
        1.01768,
        1.01169,
        1.0126,
        1.01336,
        1.01108,
        1.01634,
        1.00923,
        1.00402,
        1.01326,
        0.994425,
        1.00034,
        1.01154,
        1.00307,
        1.00254,
        1.00264,
        1.00285,
        1.00313,
        1.00038,
        1.00663,
        1.01746,
        1.00586,
        1.00049,
        0.993554,
        0.985571,
        0.995149,
        0.996508,
        0.996943,
        null,
        0.999942,
        1.00569,
        1.01182,
        0.918004,
        0.827278,
        0.80552,
        0.887911,
        0.930633,
        0.94866,
        0.958527,
        0.980679,
        1.0023,
        1.01604,
        1.00844,
        1.01202,
        1.01359,
        1.01089,
        1.00195,
        1.00811,
        1.01273,
        1.01198,
        1.00368,
        1.01181,
        1.01314,
        1.0009,
        1.00271,
        1.00049,
        0.999625,
        1.00293,
        1.00234,
        1.00054,
        1.00033,
        1.00453,
        1.00208,
        1.00361,
        1.00639,
        1.00629,
        1.00192,
        1.00132,
        1.00479,
        1.01152,
        1.00581,
        1.00001,
        0.996729,
        0.998621,
        1.00076,
        1.00452,
        1.00902,
        1.00678,
        1.01047,
        1.01413,
        1.01487,
        1.01011,
        1.01504,
        1.01979,
        1.01794,
        1.01102,
        1.01379,
        1.01637,
        1.00727,
        1.00949,
        1.01674,
        1.01962,
        1.00164,
        1.009,
        1.01617,
        1.01634,
        0.998432,
        0.999585,
        1.00557,
        1.01197,
        1.01129,
        1.01841,
        1.02105,
        1.01616,
        1.00888,
        1.00945,
        1.0098,
        1.00723,
        1.01796,
        1.01173,
        1.00489,
        1.00943,
        1.00496,
        1.00436,
        1.00831,
        1.0181,
        1.01721,
        1.01398,
        1.009,
        1.00234,
        1.01324,
        1.01823,
        1.01632,
        1.01133,
        1.01414,
        1.01085,
        1.00305,
        1.0083,
        1.00761,
        1.00821,
        1.01146,
        1.0125,
        1.01838,
        null,
        0.928926,
        0.939208,
        0.949489,
        0.959771,
        0.970034,
        0.967681,
        0.965256,
        0.966854,
        0.977328,
        0.972107,
        0.976558,
        0.983622,
        0.983775,
        0.978268,
        0.973651,
        0.968367,
        0.959369,
        0.968733,
        0.988865,
        1.0056,
        0.992905,
        0.974775,
        0.967668,
        0.973684,
        0.99383,
        0.983088,
        0.984013,
        0.994408,
        0.993898,
        0.986554,
        0.987073,
        0.997972,
        1.01922,
        0.967517,
        0.944524,
        0.938096,
        0.955277,
        0.958952,
        0.964961,
        0.977267,
        0.973739,
        0.971799,
        0.970128,
        0.969539,
        0.98507,
        0.992016,
        0.989978,
        0.979808,
        0.98761,
        0.981718,
        0.978034,
        0.98627,
        0.980515,
        0.978066,
        0.977023,
        0.975986,
        0.971339,
        0.975073,
        0.98053,
        0.982216,
        0.980374,
        null,
        0.988585,
        0.988347,
        0.982574,
        0.970194,
        0.98871,
        0.977908,
        0.971467,
        0.972078,
        0.975778,
        0.981111,
        0.991979,
        1.00483,
        1.0084,
        0.975571,
        0.972656,
        0.995812,
        0.993573,
        0.983284,
        0.979407,
        0.983309,
        0.990545,
        0.998421,
        0.995442,
        0.985299,
        0.992048,
        0.990765,
        0.985775,
        0.980234,
        0.982724,
        0.979469,
        0.981002,
        0.988836,
        0.996503,
        0.98906,
        0.980123,
        0.975611,
        0.983372,
        0.984456,
        0.989129,
        0.998471,
        0.996209,
        0.997863,
        0.997027,
        0.994217,
        1.00747,
        1.00307,
        1.00383,
        1.01377,
        0.989228,
        0.981738,
        0.988671,
        1.00645,
        1.01012,
        1.00315,
        0.994671,
        0.990053,
        0.997685,
        0.99927,
        0.998678,
        0.997854,
        0.998746,
        0.994525,
        0.996581,
        1.00924,
        1.00874,
        0.999508,
        0.993655,
        0.99805,
        1.01812,
        1.02025,
        1.01635,
        1.01402,
        1.01741,
        1.01876,
        1.01977,
        1.02153,
        1.02504,
        1.02346,
        1.02126,
        1.02183,
        1.02989,
        1.02774,
        1.02469,
        1.0266,
        1.02412,
        1.02758,
        1.03086,
        1.02927,
        1.02831,
        1.03085,
        1.02865,
        1.01637,
        1.02269,
        1.01876,
        1.01388,
        1.0155,
        1.01645,
        1.01344,
        1.01048,
        1.01094,
        1.01078,
        1.00822,
        1.00703,
        1.0098,
        0.99366,
        0.989008,
        0.986716,
        0.978795,
        0.979527,
        0.987784,
        0.991872,
        0.981012,
        0.987615,
        0.985642,
        0.981341,
        0.980403,
        0.982144,
        0.979182,
        0.976981,
        0.980421,
        0.977341,
        0.977084,
        0.975147,
        0.966844,
        0.98101,
        0.982785,
        0.98161,
        0.986932,
        0.992205,
        0.989439,
        0.985654,
        0.987539,
        0.984495,
        0.981486,
        0.983468,
        0.995214,
        0.993353,
        0.991333,
        0.990018,
        0.990161,
        0.985575,
        0.989171,
        0.995351,
        0.998148,
        0.994552,
        0.987097,
        0.986757,
        1.00459,
        1.00794,
        1.01007,
        1.01103,
        1.01086,
        1.00645,
        1.00753,
        1.01238,
        1.01926,
        1.01528,
        1.00888,
        1.00612,
        1.01269,
        1.01464,
        1.01642,
        1.02035,
        1.02885,
        1.01954,
        1.01719,
        1.01792,
        1.01758,
        1.02804,
        1.03224,
        1.02888,
        1.01676,
        1.01765,
        1.02641,
        1.03468,
        1.03451,
        1.03762,
        1.02416,
        1.0128,
        1.02059,
        1.01411,
        1.01357,
        1.01099,
        0.999006,
        0.967545,
        0.930349,
        0.907531,
        0.916667,
        0.953379,
        0.986462,
        1.01045,
        1.02053,
        1.01361,
        1.00881,
        1.00642,
        1.00659,
        1.00671,
        1.00599,
        0.999101,
        0.982828,
        0.988512,
        0.98768,
        0.983015,
        0.97721,
        0.988406,
        0.99544,
        0.995344,
        0.986769,
        0.991372,
        0.994527,
        0.995341,
        0.993339,
        0.992713,
        0.994031,
        0.992246,
        0.985354,
        0.998375,
        0.993992,
        0.987002,
        0.98576,
        0.993782,
        0.990669,
        0.987718,
        0.988652,
        0.970677,
        0.971268,
        0.974939,
        0.975067,
        0.983141,
        0.986961,
        0.987144,
        0.984525,
        0.984665,
        0.979391,
        0.977501,
        0.98143,
        0.975649,
        0.981808,
        0.982428,
        0.972881,
        0.980359,
        0.981404,
        0.985959,
        0.994517,
        0.988591,
        0.98387,
        0.984,
        0.986642,
        0.971273,
        0.97841,
        0.98744,
        0.989933,
        0.977846,
        0.972661,
        0.979699,
        0.994596,
        0.986688,
        0.976577,
        0.975744,
        0.981934,
        0.974934,
        0.982015,
        0.9855,
        0.983988,
        0.988317,
        0.990249,
        0.984851,
        0.974421,
        0.971398,
        0.982846,
        0.988054,
        0.98547,
        0.981959,
        0.972999,
        0.970091,
        0.973003,
        0.976024,
        0.978656,
        0.978368,
        0.975991,
        0.974695,
        0.974563,
        0.975066,
        0.975121,
        0.972643,
        0.967178,
        0.966822,
        0.969652,
        0.970177,
        0.96967,
        0.97063,
        0.973848,
        0.980144,
        0.969239,
        0.969191,
        0.975632,
        0.979229,
        0.975429,
        0.966529,
        0.95795,
        0.957382,
        0.970984,
        0.971285,
        0.968802,
        0.976939,
        0.98028,
        0.981097,
        0.977143,
        0.966053,
        0.975633,
        0.975519,
        0.970434,
        0.965023,
        0.98279,
        0.986542,
        0.981252,
        0.972038,
        0.975659,
        0.982916,
        0.986357,
        0.980734,
        0.969885,
        0.970024,
        0.972878,
        0.973417,
        0.979457,
        0.9708,
        0.969037,
        0.98337,
        0.981293,
        0.983004,
        0.982443,
        0.977161,
        0.970517,
        0.97352,
        0.980497,
        0.98727,
        0.981373,
        0.986224,
        0.99099,
        0.991478,
        0.984703,
        0.97962,
        0.981567,
        0.987404,
        0.976507,
        0.977994,
        0.981426,
        0.984182,
        0.98623,
        0.977768,
        0.974127,
        0.975622,
        0.973522,
        0.981,
        0.980944,
        0.974626,
        0.973237,
        0.989431,
        0.995186,
        0.990452,
        0.983399,
        0.975848,
        0.983863,
        0.995409,
        0.9859,
        0.980005,
        0.976119,
        0.975189,
        0.978772,
        0.980797,
        0.975808,
        0.969733,
        0.971084,
        0.986409,
        0.98085,
        0.969448,
        0.969858,
        0.962348,
        0.969598,
        0.97623,
        0.968495,
        0.96251,
        0.978409,
        0.989261,
        0.976635,
        0.966604,
        0.966831,
        0.963984,
        0.951588,
        0.952597,
        0.937538,
        0.92964,
        0.940708,
        0.95824,
        0.959109,
        0.949611,
        0.937029,
        0.949496,
        null,
        0.95851,
        0.926125,
        0.921225,
        0.943428,
        0.986132,
        0.90093,
        0.843401,
        0.812437,
        0.807687,
        0.822732,
        0.88134,
        0.92797,
        0.933545,
        0.911266,
        0.924053,
        0.947726,
        0.971084,
        0.986651,
        0.987444,
        0.986295,
        0.98428,
        0.965124,
        0.980765,
        0.986664,
        0.977029,
        0.975431,
        0.96069,
        0.95843,
        0.967458,
        0.968353,
        0.963899,
        0.962969,
        0.965535,
        0.968599,
        0.978339,
        0.986422,
        0.987541,
        0.974396,
        0.975699,
        0.982417,
        0.986577,
        0.978228,
        0.985327,
        0.984447,
        0.982313,
        0.986392,
        0.988997,
        0.988197,
        0.989575,
        0.996513,
        0.984624,
        0.982124,
        0.98155,
        0.979536,
        0.993523,
        0.997478,
        0.998439,
        0.998323,
        0.985354,
        0.986221,
        0.982497,
        0.972648,
        0.985535,
        0.985789,
        0.986863,
        0.989821,
        0.984243,
        0.98865,
        0.994175,
        0.997457,
        0.994448,
        1.00037,
        0.993721,
        0.985358,
        1.00371,
        0.997362,
        0.986262,
        0.977609,
        0.979709,
        0.979159,
        0.982466,
        0.987638,
        0.991941,
        0.981501,
        0.981571,
        0.985361,
        0.986039,
        0.988889,
        0.991922,
        0.993471,
        0.992504,
        0.991464,
        0.984514,
        0.981403,
        0.98479,
        0.975894,
        0.982979,
        0.986843,
        0.98183,
        0.980569,
        0.978668,
        0.980523,
        0.98537,
        0.985353,
        0.982841,
        0.983042,
        0.985903,
        0.988569,
        0.981193,
        0.983349,
        0.989934,
        0.986157,
        0.984944,
        0.983907,
        0.982083,
        0.978358,
        0.985108,
        0.98701,
        0.983781,
        0.975947,
        0.978618,
        0.978297,
        0.9799,
        0.986901,
        0.992819,
        0.993868,
        0.99071,
        0.985031,
        0.987863,
        0.988479,
        0.986256,
        0.982602,
        0.986792,
        0.988908,
        0.992812,
        0.996657,
        0.989096,
        0.987888,
        0.993085,
        0.999076,
        0.990912,
        0.984655,
        0.980516,
        0.982054,
        0.996415,
        0.997017,
        1.00034,
        1.003,
        0.9986,
        1.00817,
        1.01627,
        1.01948,
        1.01504,
        1.02183,
        1.01937,
        1.0104,
        0.999027,
        1.01641,
        1.01333,
        1.01004,
        1.01629,
        1.0262,
        1.02581,
        1.02228,
        1.01919,
        1.02114,
        1.01733,
        1.01588,
        1.01974,
        1.03184,
        1.02451,
        1.01792,
        1.01549,
        1.01761,
        1.02522,
        1.03042,
        1.0335,
        1.03618,
        1.03201,
        1.03183,
        1.03219,
        1.02882,
        1.01226,
        1.00881,
        1.01137,
        1.01427,
        1.01696,
        1.00408,
        0.995438,
        0.999609,
        0.993442,
        0.985466,
        0.978578,
        0.975607,
        0.985541,
        0.994131,
        0.996951,
        0.996936,
        1.00675,
        0.999162,
        0.992186,
        0.989429,
        0.992041,
        0.99883,
        0.9963,
        0.989013,
        0.985711,
        1.00069,
        1.00676,
        1.00544,
        0.999746,
        0.998748,
        0.998202,
        0.997661,
        0.996946,
        0.998232,
        1.0047,
        1.00798,
        1.00432,
        0.998429,
        1.00043,
        1.00284,
        1.00604,
        1.02164,
        1.02753,
        1.02502,
        1.01722,
        1.01128,
        1.01405,
        1.01749,
        1.01927,
        1.01726,
        1.02367,
        1.02362,
        1.0219,
        1.02589,
        1.02454,
        1.02019,
        1.02053,
        1.0309,
        1.0182,
        1.01861,
        1.02386,
        1.02861,
        1.02851,
        1.02149,
        1.0207,
        1.02817,
        1.02749,
        1.02561,
        1.02644,
        1.0283,
        1.02301,
        1.02013,
        1.02105,
        1.02196,
        1.01471,
        1.01661,
        1.00654,
        0.984654,
        0.953959,
        0.948119,
        0.962083,
        0.986139,
        1.00985,
        1.01907,
        1.02446,
        1.02494,
        1.02221,
        1.03647,
        1.03455,
        1.02903,
        1.02614,
        1.03286,
        1.01998,
        1.02025,
        1.03145,
        1.0224,
        1.02472,
        1.02818,
        1.0283,
        1.0191,
        1.0123,
        1.01328,
        1.01886,
        1.02485,
        1.01479,
        1.0075,
        1.00778,
        1.01768,
        1.01266,
        1.01342,
        1.01022,
        1.00054,
        1.0033,
        1.0047,
        1.00662,
        1.00748,
        0.998978,
        0.996101,
        0.995219,
        0.993151,
        0.984344,
        0.994236,
        0.994225,
        0.987145,
        0.982489,
        0.990517,
        0.990055,
        0.985635,
        0.982431,
        0.982366,
        0.987049,
        0.992251,
        0.994955,
        0.991524,
        0.987608,
        0.986666,
        0.988496,
        0.985413,
        0.98054,
        0.9864,
        0.997529,
        0.988458,
        0.985657,
        0.982242,
        0.980458,
        0.986394,
        0.979762,
        0.980246,
        0.98462,
        0.987718,
        0.980802,
        0.982408,
        0.988802,
        0.994973,
        0.977076,
        0.982401,
        0.985443,
        0.976023,
        0.971188,
        0.974139,
        0.977796,
        0.981643,
        0.990697,
        0.990818,
        0.991961,
        0.992259,
        0.98493,
        0.988432,
        0.984175,
        0.980773,
        0.991003,
        1.00259,
        1.00119,
        0.997556,
        0.999476,
        0.99709,
        0.995293,
        0.998309,
        1.00681,
        1.01208,
        0.998429,
        0.99662,
        1.0094,
        1.01753,
        1.00027,
        0.997412,
        1.00323,
        0.993441,
        1.00479,
        1.00473,
        0.998851,
        0.997798,
        1.01052,
        1.00102,
        0.99086,
        0.995022,
        0.991846,
        0.99777,
        1.00273,
        1.00224,
        0.998502,
        0.988849,
        0.990205,
        1.00037,
        0.998742,
        0.991176,
        0.993392,
        1.00336,
        1.01207,
        0.998914,
        0.990822,
        0.992068,
        1.00466,
        1.00154,
        0.991646,
        0.982531,
        0.979087,
        0.980966,
        0.987951,
        1.0052,
        1.02464,
        0.997947,
        0.988748,
        0.991617,
        0.99789,
        0.989459,
        0.998604,
        0.98391,
        0.966478,
        0.989186,
        1.00522,
        0.99925,
        0.987262,
        0.984284,
        0.970998,
        0.968597,
        0.969349,
        0.969693,
        0.974549,
        0.974542,
        0.985025,
        1.00044,
        0.978154,
        0.989111,
        0.990529,
        0.973069,
        0.934123,
        0.970021,
        0.965054,
        0.944397,
        0.946436,
        null,
        0.99303,
        0.988402,
        0.977897,
        0.991962,
        0.99714,
        0.997739,
        1.00026,
        0.997029,
        0.997691,
        0.99588,
        0.988627,
        0.983919,
        0.9896,
        0.994331,
        0.992297,
        0.976777,
        0.981892,
        0.988048,
        0.986104,
        0.965018,
        0.955108,
        0.976478,
        0.994431,
        0.970552,
        0.970601,
        0.983102,
        0.988688,
        0.976149,
        0.957688,
        0.963472,
        0.986235,
        1.00664,
        0.961538,
        0.961407,
        null,
        0.970216,
        0.934191,
        0.906691,
        0.887684,
        0.87677,
        0.871899,
        0.884115,
        0.918682,
        0.953508,
        0.940749,
        0.935772,
        0.962548,
        0.989994,
        0.980295,
        0.982012,
        0.971869,
        0.970802,
        0.988758,
        1.00616,
        0.986729,
        0.965862,
        0.959911,
        0.985477,
        0.991513,
        0.988304,
        0.983126,
        0.984969,
        0.97041,
        0.977961,
        0.987164,
        0.980426,
        0.979426,
        0.957348,
        0.948061,
        null,
        0.961842,
        0.966179,
        0.974183,
        0.963572,
        0.969159,
        0.972618,
        0.9789,
        0.994174,
        0.98617,
        0.995419,
        1.00567,
        1.00512,
        0.979002,
        0.98066,
        0.97961,
        0.977783,
        1.00382,
        0.983655,
        0.977968,
        0.985143,
        0.995139,
        0.998639,
        0.993413,
        0.99356,
        1.00512,
        1.00102,
        0.983486,
        0.97928,
        0.988696,
        0.986125,
        0.98938,
        0.995794,
        0.987915,
        0.938238,
        0.966348,
        0.996159,
        1.01152,
        0.998834,
        null,
        0.939315,
        1.03015,
        1.05383,
        1.03598,
        1.0119,
        0.987059,
        0.980979,
        0.982308,
        0.988407,
        1.01307,
        0.999263,
        0.983247,
        0.979693,
        1.00103,
        0.993831,
        1.00553,
        1.01708,
        1.00937,
        0.999803,
        0.989024,
        0.99206,
        1.00986,
        1.0182,
        1.01686,
        1.01616,
        1.01891,
        1.02677,
        1.01906,
        1.00438,
        1.0011,
        1.02065,
        1.0249,
        1.02704,
        1.02761,
        1.0297,
        1.04312,
        1.03957,
        1.03286,
        1.02544,
        1.01774,
        null,
        1.01576,
        1.00709,
        1.00404,
        1.00856,
        1.01959,
        1.01855,
        1.00878,
        1.0015,
        0.997853,
        0.990943,
        1.0011,
        1.00076,
        0.992794,
        0.984419,
        0.989876,
        0.988219,
        0.984985,
        0.982148,
        0.978027,
        0.977701,
        0.975213,
        0.973798,
        0.978165,
        0.987038,
        0.98625,
        0.985489,
        0.98649,
        0.977415,
        0.980803,
        0.987473,
        0.990189,
        0.980917,
        0.983452,
        0.986171,
        0.985252,
        0.982922,
        0.99711,
        0.987269,
        0.984234,
        0.987178,
        0.986193,
        0.985069,
        0.98288,
        0.976624,
        0.968378,
        0.976278,
        0.977809,
        0.972742,
        0.968667,
        0.979088,
        0.981933,
        0.989523,
        0.992649,
        0.986837,
        0.981905,
        0.984389,
        0.981432,
        0.970783,
        0.954158,
        0.957899,
        0.958436,
        0.967294,
        0.988158,
        0.988435,
        0.997603,
        0.994819,
        0.989222,
        1.00662,
        1.0084,
        1.00092,
        0.991476,
        0.986052,
        0.985076,
        0.994347,
        0.989584,
        0.973538,
        0.965633,
        0.963936,
        0.972,
        0.981057,
        0.983943,
        0.97897,
        0.986587,
        0.988319,
        0.98563,
        0.993033,
        0.995717,
        0.996075,
        0.993289,
        0.987358,
        0.983372,
        0.97635,
        0.975761,
        0.982297,
        0.991498,
        0.988338,
        0.985357,
        0.981925,
        0.978334,
        0.982771,
        0.978717,
        0.975441,
        0.976646,
        0.985251,
        0.981514,
        0.980121,
        0.979177,
        0.97735,
        0.983331,
        0.979441,
        0.980375,
        0.987118,
        0.992185,
        0.99002,
        0.979601,
        0.972461,
        0.976468,
        0.981042,
        0.98293,
        0.98399,
        0.986252,
        0.992682,
        0.987906,
        0.98348,
        0.981338,
        0.982311,
        0.984669,
        0.98504,
        0.986316,
        0.98534,
        0.975024,
        0.980232,
        0.989432,
        0.997622,
        1.00129,
        0.999657,
        0.996431,
        0.995168,
        0.99756,
        1.0049,
        1.0028,
        1.00874,
        1.01256,
        1.00912,
        1.00826,
        1.00619,
        1.00524,
        1.00759,
        1.01566,
        1.01425,
        1.00432,
        1.0012,
        1.01119,
        1.01837,
        1.00168,
        0.999293,
        1.00621,
        1.00344,
        1.01152,
        1.0098,
        1.00258,
        0.996365,
        1.00423,
        1.0139,
        1.01101,
        1.00185,
        0.996909,
        0.998801,
        0.999845,
        1.00014,
        0.99775,
        0.98612,
        0.989761,
        0.992718,
        0.989199,
        0.976701,
        0.983774,
        0.983469,
        0.983254,
        0.984105,
        0.97912,
        0.975443,
        0.976382,
        0.980675,
        0.986194,
        0.987312,
        0.987284,
        0.989544,
        0.99303,
        0.992569,
        0.998506,
        0.994277,
        0.986586,
        0.983125,
        0.990531,
        0.992672,
        1.00038,
        1.0086,
        1.00307,
        1.00381,
        1.00144,
        1.00238,
        1.00903,
        1.00892,
        1.00896,
        1.00788,
        1.00439,
        0.99742,
        0.999101,
        1.00038,
        0.998691,
        0.994552,
        0.995858,
        0.988754,
        0.988366,
        0.990844,
        0.987742,
        0.988651,
        0.99425,
        0.989217,
        0.975544,
        0.980524,
        0.98335,
        0.979137,
        0.975485,
        0.979501,
        0.96819,
        0.97307,
        0.979641,
        0.980018,
        0.967277,
        0.968059,
        0.963968,
        0.963512,
        0.972481,
        0.976347,
        0.968275,
        0.968567,
        0.972656,
        0.962093,
        0.969417,
        0.969614,
        0.968423,
        0.968682,
        0.964754,
        0.967545,
        0.972231,
        0.972873,
        0.963292,
        0.982309,
        0.980172,
        0.973258,
        0.971367,
        0.980405,
        0.977229,
        0.970013,
        0.96596,
        0.97047,
        0.973946,
        0.975229,
        0.974959,
        0.973042,
        0.968856,
        0.970167,
        0.970278,
        0.968647,
        0.965942,
        0.967293,
        0.961717,
        0.963221,
        0.971389,
        0.979502,
        0.972827,
        0.967756,
        0.962479,
        0.957633,
        0.960999,
        0.957454,
        0.956793,
        0.962265,
        0.974222,
        0.966217,
        0.967483,
        0.968707,
        0.96829,
        0.972827,
        0.969082,
        0.966351,
        0.966785,
        0.969315,
        0.957902,
        0.958538,
        0.964404,
        0.96855,
        0.961951,
        0.965572,
        0.966953,
        0.970245,
        0.974874,
        0.965017,
        0.974521,
        0.976172,
        0.973233,
        0.976218,
        0.972465,
        0.974465,
        0.973066,
        0.968525,
        0.973419,
        0.975801,
        0.977567,
        0.980218,
        0.983977,
        0.979998,
        0.974969,
        0.970746,
        0.968134,
        0.967442,
        0.963207,
        0.967798,
        0.971792,
        0.969307,
        0.96369,
        0.974549,
        0.970892,
        0.959949,
        0.958385,
        0.966841,
        0.967916,
        0.968049,
        0.971805,
        0.983663,
        0.975656,
        0.970931,
        0.968525,
        0.965646,
        0.958787,
        0.967773,
        0.97196,
        0.970548,
        0.970604,
        0.968551,
        0.962537,
        0.962678,
        0.972545,
        0.983604,
        0.983098,
        0.984868,
        0.984628,
        0.977118,
        0.975968,
        0.978113,
        0.987442,
        0.997429,
        0.991529,
        0.98529,
        0.983662,
        0.980607,
        0.973698,
        0.972556,
        0.971994,
        0.977247,
        0.979574,
        0.967539,
        0.969108,
        0.966717,
        0.962105,
        0.955111,
        0.942839,
        0.943155,
        0.951717,
        0.960262,
        0.961405,
        0.953186,
        null,
        0.952064,
        0.953748,
        0.951994,
        0.939362,
        0.936634,
        0.938105,
        0.924014,
        0.901753,
        0.926929,
        0.963597,
        0.954443,
        0.962648,
        0.970948,
        0.965765,
        0.976016,
        0.968106,
        0.96757,
        0.978027,
        0.987501,
        0.966605,
        0.95189,
        0.952116,
        0.966731,
        0.97394,
        0.982643,
        0.975886,
        0.96473,
        0.966328,
        0.971724,
        0.983674,
        0.982633,
        0.967021,
        0.949964,
        0.957864,
        0.961084,
        0.962577,
        0.966714,
        0.980354,
        0.976412,
        0.975682,
        0.973032,
        0.960328,
        0.972539,
        0.968919,
        0.968139,
        0.971888,
        0.968387,
        0.973817,
        0.968255,
        0.968953,
        0.979544,
        0.959292,
        0.960829,
        0.962363,
        0.957981,
        0.946522,
        0.947695,
        0.9463,
        0.942228,
        0.939005,
        0.943453,
        0.939545,
        0.934038,
        0.933777,
        0.939443,
        0.936879,
        0.935493,
        0.940235,
        0.943807,
        0.939363,
        0.947715,
        0.958301,
        0.968006,
        0.972431,
        0.966177,
        0.978723,
        0.984054,
        0.983753,
        0.97958,
        0.974016,
        0.981024,
        0.983646,
        0.982636,
        0.981647,
        0.987691,
        0.982562,
        0.983725,
        0.987788,
        0.982038,
        0.975236,
        0.976441,
        0.979362,
        0.980082,
        0.976784,
        0.975513,
        0.977143,
        0.976659,
        0.973604,
        0.993217,
        0.980141,
        0.967394,
        0.957135,
        0.943839,
        0.954421,
        0.969442,
        0.984187,
        0.990944,
        0.977423,
        0.96911,
        0.97511,
        0.983995,
        0.989052,
        0.999563,
        1.00033,
        0.999685,
        0.993414,
        0.977074,
        0.966637,
        0.974474,
        0.980336,
        0.979844,
        0.977146,
        0.983662,
        0.978105,
        0.971876,
        0.973366,
        0.988468,
        0.96918,
        0.965585,
        0.974953,
        0.988105,
        0.994806,
        0.988192,
        0.987228,
        0.990111,
        0.988315,
        0.987149,
        0.979685,
        0.975587,
        0.976596,
        0.976455,
        0.985153,
        0.984844,
        0.982413,
        0.979362,
        0.957351,
        0.97838,
        0.994301,
        0.999049,
        0.993754,
        0.980587,
        0.978474,
        0.99012,
        1.00336,
        0.997708,
        0.986374,
        0.978808,
        0.975902,
        0.97867,
        0.989587,
        0.99451,
        0.994841,
        0.988572,
        0.977783,
        0.983035,
        0.981743,
        0.98128,
        0.980148,
        0.975117,
        null,
        0.966485,
        0.965691,
        0.950767,
        0.932032,
        0.943292,
        0.923326,
        1.01732,
        1.00177,
        0.994827,
        0.98052,
        0.980894,
        0.993969,
        0.982331,
        0.990015,
        0.993404,
        0.985226,
        0.966769,
        0.962561,
        0.962154,
        0.958354,
        0.960126,
        0.975759,
        0.970914,
        0.967537,
        0.967058,
        0.969448,
        0.973844,
        0.96734,
        0.962992,
        0.965727,
        0.972597,
        0.971501,
        0.964114,
        0.965907,
        0.967287,
        0.961146,
        0.949012,
        0.958037,
        0.968563,
        0.975103,
        0.975738,
        0.979531,
        0.98336,
        0.978538,
        0.974942,
        0.986138,
        0.978139,
        0.972733,
        0.987945,
        1.01105,
        1.00198,
        0.993484,
        0.995647,
        0.996914,
        0.992296,
        0.985743,
        0.987612,
        0.990345,
        0.984695,
        0.972823,
        0.997693,
        0.995118,
        0.995203,
        0.997231,
        0.995181,
        0.983231,
        0.988378,
        0.995492,
        1.00292,
        1.0139,
        1.00957,
        1.00185,
        0.997383,
        0.998356,
        1.00363,
        1.00778,
        1.01353,
        1.00884,
        0.99305,
        0.987936,
        0.991609,
        0.996356,
        1.0012,
        1.00517,
        1.00491,
        0.999532,
        0.988544,
        0.985281,
        1.00102,
        1.00351,
        0.99628,
        0.996498,
        1.00148,
        1.00006,
        0.999113,
        1.00577,
        1.01468,
        1.01938,
        1.01168,
        1.01169,
        1.01868,
        1.01524,
        1.00327,
        1.0121,
        1.00567,
        1.00146,
        1.00424,
        1.01239,
        1.00699,
        1.00503,
        1.00171,
        0.998979,
        1.00083,
        1.01724,
        1.01387,
        1.00894,
        1.00803,
        1.01187,
        1.00654,
        1.00719,
        0.999928,
        0.991587,
        1.0002,
        0.999022,
        1.0045,
        1.00547,
        1.00108,
        1.00042,
        1.00148,
        0.99662,
        0.98626,
        0.975719,
        0.979515,
        0.979635,
        0.975007,
        0.974393,
        0.980931,
        0.979694,
        0.977388,
        0.9791,
        0.97815,
        0.970281,
        0.973774,
        0.977813,
        0.977098,
        0.975499,
        0.979192,
        0.986368,
        0.988284,
        0.986098,
        0.984015,
        0.988251,
        1.00352,
        0.98613,
        0.973439,
        0.975217,
        0.978529,
        0.96777,
        0.97429,
        0.980999,
        0.979622,
        0.975037,
        0.980142,
        0.975179,
        0.969241,
        0.969668,
        0.975581,
        0.976237,
        0.976846,
        0.979833,
        0.984537,
        0.977299,
        0.969225,
        0.966717,
        0.969613,
        0.974379,
        0.964539,
        0.969078,
        0.968735,
        0.962712,
        0.958977,
        0.972749,
        0.978856,
        0.981337,
        0.982027,
        0.981675,
        0.977099,
        0.974475,
        0.969901,
        0.965142,
        0.968106,
        0.972473,
        0.980339,
        0.978777,
        0.970151,
        0.985499,
        0.985887,
        0.975616,
        0.969946,
        0.975954,
        0.980003,
        0.978132,
        0.986004,
        0.984105,
        0.96483,
        0.98289,
        0.978887,
        0.977441,
        0.97776,
        0.975404,
        0.979849,
        0.97917,
        0.980743,
        0.982035,
        0.978932,
        0.980961,
        0.982017,
        0.979816,
        0.973229,
        0.962536,
        0.969067,
        0.962998,
        0.958623,
        0.959611,
        0.963145,
        0.961012,
        0.963938,
        0.967723,
        0.97194,
        0.980309,
        0.973309,
        0.977328,
        0.97512,
        0.966835,
        0.978897,
        0.96128,
        0.967282,
        0.982413,
        0.989533,
        0.97387,
        0.97177,
        0.977634,
        0.981076,
        0.979641,
        0.996836,
        0.986225,
        0.979237,
        0.977051,
        0.978082,
        0.98927,
        0.991976,
        0.985751,
        0.98099,
        0.987554,
        0.992094,
        0.983554,
        0.975694,
        0.972848,
        0.976108,
        0.979872,
        0.983681,
        0.983324,
        0.982611,
        0.987197,
        0.982317,
        0.983088,
        0.985023,
        0.986512,
        0.987553,
        0.988913,
        0.986581,
        0.983327,
        0.983244,
        0.990893,
        0.983874,
        0.976913,
        0.97182,
        0.968038,
        0.962466,
        0.976017,
        0.977806,
        0.982459,
        0.991998,
        0.991749,
        0.98127,
        0.980444,
        0.977985,
        0.971137,
        0.972192,
        0.969956,
        0.972077,
        0.968328,
        0.959033,
        0.969191,
        0.964937,
        0.970916,
        0.973439,
        0.965991,
        0.968937,
        0.961924,
        0.958987,
        0.961384,
        0.967811,
        0.974611,
        0.9637,
        0.961938,
        0.963447,
        0.962652,
        0.975636,
        0.978245,
        0.977704,
        0.974677,
        0.970893,
        0.980869,
        0.968285,
        0.966961,
        0.972586,
        0.973472,
        0.972126,
        0.975012,
        0.975365,
        0.968682,
        0.954572,
        0.962564,
        0.969952,
        0.971429,
        0.968073,
        0.963952,
        0.963666,
        0.977898,
        0.983217,
        0.98004,
        0.978282,
        0.982407,
        0.97378,
        0.970231,
        0.974578,
        0.981766,
        0.985214,
        0.982787,
        0.982749,
        0.984013,
        0.980725,
        0.986946,
        0.981671,
        0.977238,
        0.976463,
        0.975937,
        0.980639,
        0.98128,
        0.977556,
        0.969817,
        0.959083,
        0.97467,
        0.972713,
        0.967895,
        0.966075,
        0.966163,
        0.960173,
        0.959011,
        0.966054,
        0.978568,
        0.988671,
        0.966058,
        0.965434,
        0.968964,
        0.966463,
        0.954442,
        0.968024,
        0.973469,
        0.972744,
        0.973535,
        0.990504,
        0.984611,
        0.987163,
        0.989722,
        0.987783,
        0.981565,
        0.983456,
        0.9881,
        0.99038,
        0.990669,
        0.996113,
        0.98925,
        0.989464,
        0.989247,
        0.986335,
        0.986386,
        0.982931,
        0.989637,
        1.00008,
        1.0076,
        1.00609,
        1.00439,
        1.00715,
        1.0081,
        1.00669,
        1.01167,
        1.00791,
        1.00168,
        1.00117,
        1.00648,
        1.00504,
        0.98234,
        0.987057,
        0.999861,
        1.00633,
        1.00454,
        1.00656,
        1.00236,
        0.996381,
        0.995475,
        1.01004,
        0.983029,
        0.974912,
        0.987649,
        1.00933,
        1.00977,
        0.997637,
        0.999813,
        1.00444,
        1.00422,
        1.00071,
        0.991415,
        0.989309,
        0.991136,
        null,
        0.994192,
        0.99828,
        0.990491,
        0.988824,
        0.998037,
        1.01233,
        1.01099,
        1.01348,
        1.00697,
        1.00231,
        0.983948,
        0.994749,
        0.996858,
        0.998495,
        0.996456,
        0.979078,
        0.97728,
        0.976865,
        0.981201,
        0.985324,
        0.978914,
        0.982066,
        0.973152,
        0.973501,
        0.979399,
        0.97153,
        0.97491,
        0.958035,
        0.953968,
        0.965271,
        0.97783,
        0.983924,
        0.989934,
        0.979269,
        0.959862,
        0.951655,
        0.968109,
        0.985541,
        0.982949,
        0.974181,
        0.983576,
        0.979656,
        0.972044,
        0.967337,
        0.960961,
        null,
        0.947724,
        0.948321,
        0.953346,
        0.956464,
        0.957523,
        0.958888,
        0.965875,
        0.971775,
        0.969262,
        0.971655,
        0.988801,
        0.985792,
        0.969674,
        0.968335,
        0.991346,
        1.00482,
        0.999273,
        0.986915,
        0.990011,
        1.0051,
        0.992864,
        1.00626,
        1.00478,
        1.00294,
        1.00386,
        0.996987,
        0.992036,
        0.999666,
        1.00885,
        1.01101,
        1.00053,
        1.00526,
        1.0066,
        1.00995,
        1.01227,
        1.00669,
        1.00787,
        1.01444,
        1.01322,
        1.01089,
        1.0199,
        1.01447,
        1.00479,
        1.00593,
        1.01264,
        1.01325,
        1.0025,
        0.997063,
        0.995098,
        0.996506,
        0.999278,
        0.989587,
        0.986219,
        0.98595,
        0.983673,
        0.977628,
        0.97982,
        0.986954,
        0.987168,
        0.989689,
        0.998083,
        0.994706,
        0.997596,
        0.995949,
        0.990269,
        0.982611,
        0.97544,
        0.979052,
        0.985837,
        0.989052,
        0.98895,
        0.994459,
        0.988379,
        0.98116,
        0.983553,
        0.989964,
        0.981049,
        0.979063,
        0.979725,
        0.977727,
        0.977399,
        0.987528,
        0.9867,
        0.987409,
        0.984446,
        0.981628,
        0.986155,
        0.998808,
        0.983684,
        0.982287,
        0.98508,
        0.973116,
        0.973091,
        0.983825,
        0.985474,
        0.984,
        0.98672,
        0.982471,
        0.980666,
        0.974483,
        0.967501,
        0.965275,
        0.973948,
        0.982384,
        0.987155,
        0.985469,
        0.979275,
        0.978709,
        0.981546
    ],
    "flux_error": [
        0.0105513,
        0.011332,
        0.0121126,
        0.0128933,
        0.0136739,
        0.0146555,
        0.0162588,
        null,
        0.0177627,
        0.016112,
        0.0150536,
        0.0137076,
        0.0118942,
        0.0108449,
        0.0100835,
        0.00968025,
        0.0102541,
        0.00976567,
        0.00890707,
        0.00840563,
        0.00843563,
        0.00833013,
        0.00777251,
        0.00814794,
        0.0078301,
        0.00674809,
        0.00628722,
        0.00601526,
        0.00593347,
        0.00618042,
        0.00641605,
        0.00657121,
        0.00654575,
        0.00625214,
        0.0059737,
        0.00577932,
        0.00609133,
        0.00648984,
        0.00681719,
        0.00592488,
        0.00545007,
        0.00535875,
        0.00587153,
        0.00624112,
        0.00621318,
        0.00550026,
        0.00544361,
        0.00557174,
        0.00580377,
        0.00501044,
        0.00471523,
        0.0047952,
        0.00501975,
        0.00553615,
        0.00596859,
        0.00586343,
        0.00549691,
        0.00538829,
        0.00575259,
        0.00567236,
        0.00541619,
        0.00504251,
        0.0049836,
        0.00541187,
        0.00590854,
        0.00568919,
        0.00567247,
        0.0059764,
        0.0067958,
        0.00667391,
        0.00640642,
        0.00609663,
        0.0056342,
        0.00549845,
        0.00554324,
        0.00523903,
        0.00507624,
        0.00500244,
        0.00501155,
        0.00539704,
        0.00564783,
        0.00558007,
        0.00529361,
        0.00506357,
        0.00493675,
        0.0053055,
        0.0053236,
        0.00517721,
        0.0051186,
        0.00502158,
        0.00488342,
        0.00468656,
        0.00488318,
        0.00507168,
        0.00519561,
        0.0052399,
        0.00504395,
        0.00481632,
        0.00533181,
        0.00556424,
        0.00546945,
        0.00484087,
        0.0051279,
        0.00541152,
        0.00545339,
        0.0050685,
        0.00511383,
        0.0055063,
        0.00548839,
        0.00542458,
        0.0053425,
        0.00527663,
        0.00531501,
        0.00534777,
        0.00531724,
        0.00528953,
        0.00558101,
        0.00615938,
        0.00550689,
        0.00559772,
        0.00593957,
        0.00529383,
        0.00563517,
        0.00592824,
        0.0052902,
        0.00559171,
        0.00585308,
        0.00585856,
        0.00542173,
        0.00524051,
        0.00529727,
        0.00556599,
        0.00553558,
        0.00574382,
        0.00707404,
        0.00660567,
        0.00602076,
        0.00586894,
        0.00567593,
        0.00556052,
        0.00556579,
        0.00608914,
        0.0065343,
        0.00676538,
        0.00636586,
        0.00641773,
        0.00656928,
        0.00666081,
        0.00677771,
        0.00701018,
        0.00734919,
        0.00703267,
        0.00720328,
        0.00760077,
        0.00752665,
        0.00785734,
        0.00857962,
        0.00986298,
        0.00992852,
        0.0107864,
        0.0130087,
        0.0137767,
        0.0153271,
        0.0177999,
        null,
        0.0163328,
        0.0135268,
        0.0122175,
        0.0112699,
        0.00993437,
        0.00975441,
        0.00925802,
        0.00818249,
        0.00789248,
        0.00754597,
        0.00714954,
        0.00670455,
        0.00641849,
        0.00629571,
        0.00643934,
        0.00644815,
        0.00645686,
        0.00649961,
        0.00611915,
        0.00585771,
        0.00571027,
        0.00561456,
        0.00543282,
        0.00531805,
        0.00552034,
        0.00542679,
        0.00547018,
        0.00584856,
        0.00573377,
        0.00552512,
        0.00533727,
        0.0061832,
        0.00617481,
        0.00580457,
        0.00577762,
        0.0055206,
        0.00536862,
        0.00553423,
        0.0048383,
        0.00458426,
        0.00485681,
        0.0049606,
        0.00487872,
        0.00478358,
        0.00511135,
        0.00564348,
        0.00576036,
        0.004911,
        0.00470973,
        0.00460814,
        0.00453771,
        0.00430327,
        0.00463876,
        0.00512829,
        0.00453828,
        0.00494788,
        0.00535284,
        0.00499079,
        0.00497355,
        0.004945,
        0.00483437,
        0.00462561,
        0.00481853,
        0.00517896,
        0.00489394,
        0.00486058,
        0.00491707,
        0.00493961,
        0.0048742,
        0.00498944,
        0.0053647,
        0.00456099,
        0.00446288,
        0.00486532,
        0.00496896,
        0.00476629,
        0.00451298,
        0.00448518,
        0.00444676,
        0.00434923,
        0.00417123,
        0.0047053,
        0.00477774,
        0.00447565,
        0.00446483,
        0.0044875,
        0.00451259,
        0.00449962,
        0.00463931,
        0.0048074,
        0.00497091,
        0.00472422,
        0.00445388,
        0.004224,
        0.00444881,
        0.00459429,
        0.00452996,
        0.00393397,
        0.00433465,
        0.00476419,
        0.0048863,
        0.00457361,
        0.00450128,
        0.00468497,
        0.00493188,
        0.00505661,
        0.00507962,
        0.00497559,
        0.00477867,
        0.0046511,
        0.00467637,
        0.00465281,
        0.00478511,
        0.00502252,
        0.00483593,
        0.00473931,
        0.00476848,
        0.00507201,
        0.00484998,
        0.00477421,
        0.00520016,
        0.00480312,
        0.00447586,
        0.00429748,
        0.00442456,
        0.00460317,
        0.00480727,
        0.00500576,
        0.00484052,
        0.00460728,
        0.00442503,
        0.00515469,
        0.00549696,
        0.00540734,
        0.00584766,
        0.00585288,
        0.00568095,
        0.00574879,
        0.00640687,
        0.00688672,
        0.00676912,
        0.00651499,
        0.00633721,
        0.00628993,
        0.00678256,
        0.00656715,
        0.00599654,
        0.00550412,
        0.00642212,
        0.00728084,
        0.00725943,
        0.00812461,
        0.0090298,
        0.00991279,
        0.0110067,
        null,
        0.0149795,
        0.0121707,
        0.0103936,
        0.0100625,
        0.0101563,
        0.00954944,
        0.00840813,
        0.00832041,
        0.00798625,
        0.00757758,
        0.00731018,
        0.00706174,
        0.00669944,
        0.0061531,
        0.00588715,
        0.00567338,
        0.00548432,
        0.0052042,
        0.0054827,
        0.0058439,
        0.00569002,
        0.00506265,
        0.0047283,
        0.00497645,
        0.00514915,
        0.00524619,
        0.00533173,
        0.0057779,
        0.00532348,
        0.00470885,
        0.00474908,
        0.00464824,
        0.00445588,
        0.00417153,
        0.00476596,
        0.00496084,
        0.00487752,
        0.00511327,
        0.00506707,
        0.00485905,
        0.00453783,
        0.00461511,
        0.00456766,
        0.00425444,
        0.00421556,
        0.00425007,
        0.00438117,
        0.00476485,
        0.00458892,
        0.00434725,
        0.0044945,
        0.00453649,
        0.00453597,
        0.00449737,
        0.00415505,
        0.00411021,
        0.00435578,
        0.00504463,
        0.00514824,
        0.00501555,
        0.00479722,
        0.00507572,
        0.00534676,
        0.00551789,
        0.00509521,
        0.00510028,
        0.0053374,
        0.00541663,
        0.00511873,
        0.00472952,
        0.00439541,
        0.00455713,
        0.00480874,
        0.00505979,
        0.00481127,
        0.00531711,
        0.00589843,
        0.00531373,
        0.00513251,
        0.00483849,
        0.00417173,
        0.00406543,
        0.00411794,
        0.00426548,
        0.00418237,
        0.00429435,
        0.00448498,
        0.00460655,
        0.00492568,
        0.00504216,
        0.00479738,
        0.0051268,
        0.00480994,
        0.00406942,
        0.00420233,
        0.00431355,
        0.00442439,
        0.00456034,
        0.00468259,
        0.00467101,
        0.00448239,
        0.00457298,
        0.00471126,
        0.00483983,
        0.00473099,
        0.00486823,
        0.00500201,
        0.004916,
        0.00458679,
        0.00450861,
        0.00475918,
        0.00475949,
        0.00510343,
        0.00549105,
        0.00515926,
        0.00488209,
        0.00481255,
        0.00511927,
        0.00550609,
        0.00543259,
        0.00494648,
        0.00530985,
        0.00527631,
        0.00508542,
        0.0050822,
        0.00487827,
        0.00480747,
        0.00504869,
        0.00460419,
        0.00451342,
        0.00471317,
        0.00460795,
        0.004824,
        0.00523325,
        0.00577529,
        0.00615731,
        0.00621124,
        0.00584749,
        0.00587846,
        0.00588614,
        0.00588126,
        0.00590299,
        0.0062117,
        0.00648238,
        0.00640993,
        0.00666931,
        0.00663638,
        0.00624185,
        0.00645857,
        0.00740702,
        0.00841372,
        0.00768771,
        0.00804332,
        0.00946836,
        0.0122962,
        0.0123344,
        null,
        0.013375,
        0.011526,
        0.0106844,
        0.0105501,
        0.00958273,
        0.00846906,
        0.00733844,
        0.00682959,
        0.0064968,
        0.00644998,
        0.00703811,
        0.00629083,
        0.00558891,
        0.00541356,
        0.00537156,
        0.00537996,
        0.00540948,
        0.00533236,
        0.00526232,
        0.00531729,
        0.00568483,
        0.00536768,
        0.00531448,
        0.00570527,
        0.00564641,
        0.00559317,
        0.00554863,
        0.00552512,
        0.00508093,
        0.00470869,
        0.00472654,
        0.00493935,
        0.00508528,
        0.00513844,
        0.00505629,
        0.00524947,
        0.00540304,
        0.00502363,
        0.00515744,
        0.00519758,
        0.00494128,
        0.00552697,
        0.00547272,
        0.0050055,
        0.00502173,
        0.00480409,
        0.00460633,
        0.00465339,
        0.00464957,
        0.00461571,
        0.00457553,
        0.0049047,
        0.00510208,
        0.00515318,
        0.00494647,
        0.00496876,
        0.00494898,
        0.00475595,
        0.00542605,
        0.00567987,
        0.00554931,
        0.00551579,
        0.00619218,
        0.00687107,
        0.00674917,
        0.00618111,
        0.00572599,
        0.0055096,
        0.00500199,
        0.00477963,
        0.00476554,
        0.00482158,
        0.0049852,
        0.00524935,
        0.00564546,
        0.00537083,
        0.00513689,
        0.00502932,
        0.00527346,
        0.00522371,
        0.00509356,
        0.00516798,
        0.00492002,
        0.0049008,
        0.0052847,
        0.00502624,
        0.00496751,
        0.00502172,
        0.00488704,
        0.00494301,
        0.00502065,
        0.00499897,
        0.00516341,
        0.00542743,
        0.00575292,
        0.0058021,
        0.00579404,
        0.00567153,
        0.00527074,
        0.00517702,
        0.00515784,
        0.00514899,
        0.00512471,
        0.00495008,
        0.00469834,
        0.00468531,
        0.00483629,
        0.00502215,
        0.00515001,
        0.0049671,
        0.00500827,
        0.00531712,
        0.00519656,
        0.00486771,
        0.00455213,
        0.00470115,
        0.00485768,
        0.00509774,
        0.00546739,
        0.00515424,
        0.00500233,
        0.0050383,
        0.00533226,
        0.00548639,
        0.005523,
        0.00540775,
        0.00512144,
        0.00516097,
        0.00555793,
        0.00522729,
        0.00507222,
        0.00506938,
        0.0052535,
        0.00571967,
        0.00590872,
        0.00553853,
        0.00546886,
        0.0056929,
        0.00604365,
        0.00571634,
        0.00597639,
        0.00626064,
        0.006074,
        0.00629792,
        0.00665817,
        0.00711373,
        0.00756036,
        0.00793059,
        0.0082278,
        0.00841992,
        0.00904321,
        0.00931478,
        0.00885244,
        0.0105153,
        0.0116701,
        0.0125677,
        0.0146798,
        null,
        0.0183636,
        0.0151522,
        0.0124794,
        0.01045,
        0.00870538,
        0.00834396,
        0.0082774,
        0.00705274,
        0.00675508,
        0.00689413,
        0.00738144,
        0.00694855,
        0.00641791,
        0.0059404,
        0.00601913,
        0.00633061,
        0.00654184,
        0.0064281,
        0.00597991,
        0.00630699,
        0.00723449,
        0.00685727,
        0.00643145,
        0.0062667,
        0.00686983,
        0.00623372,
        0.00572284,
        0.00566132,
        0.00630359,
        0.00645946,
        0.00618534,
        0.00538258,
        0.00548852,
        0.00562528,
        0.00541997,
        0.00558624,
        0.00541826,
        0.0051165,
        0.00583812,
        0.00539938,
        0.00483435,
        0.00501404,
        0.00522611,
        0.005223,
        0.00497517,
        0.00460925,
        0.00471674,
        0.00507234,
        0.00540945,
        0.00614923,
        0.00631444,
        0.00555927,
        0.0056327,
        0.00581954,
        0.00592588,
        0.00527751,
        0.00493691,
        0.00486598,
        0.00511948,
        0.00534283,
        0.00529635,
        0.004999,
        0.00464384,
        0.00460619,
        0.00461196,
        0.00436902,
        0.00483198,
        0.00508423,
        0.00496998,
        0.00512727,
        0.00484576,
        0.00456897,
        0.00524098,
        0.00500113,
        0.00491334,
        0.00540839,
        0.00523403,
        0.00549011,
        0.00598368,
        0.00595041,
        0.00559869,
        0.0054165,
        0.00578918,
        0.00524648,
        0.00494089,
        0.00492402,
        0.00466751,
        0.00465466,
        0.00477332,
        0.00494705,
        0.00439667,
        0.00421914,
        0.00461819,
        0.00471679,
        0.00474614,
        0.00466046,
        0.00429016,
        0.00431926,
        0.00458355,
        0.00506135,
        0.00473971,
        0.00463873,
        0.00469694,
        0.00460621,
        0.00472375,
        0.00494467,
        0.0052237,
        0.00514456,
        0.00502822,
        0.00491457,
        0.00488562,
        0.00443585,
        0.0040931,
        0.00455429,
        0.00455869,
        0.00470726,
        0.00509412,
        0.00499153,
        0.00486963,
        0.00484491,
        0.00520129,
        0.00507028,
        0.00496246,
        0.00506896,
        0.00517882,
        0.00517945,
        0.00511219,
        0.00511858,
        0.00569857,
        0.00598261,
        0.00531247,
        0.00507325,
        0.00566867,
        0.00674207,
        0.00604271,
        0.0057745,
        0.00552768,
        0.00489042,
        0.00514126,
        0.00543307,
        0.00560846,
        0.00533773,
        0.00520405,
        0.00513848,
        0.00505461,
        0.00549098,
        0.00601632,
        0.00649735,
        0.00557909,
        0.00560507,
        0.00624685,
        0.00677941,
        0.0068965,
        0.00755708,
        0.00938278,
        0.00880802,
        0.00929448,
        0.0107164,
        0.0121537,
        null,
        0.0135316,
        0.00968534,
        0.00922923,
        0.00876009,
        0.00822869,
        0.00745045,
        0.00702435,
        0.00676745,
        0.00662353,
        0.00692484,
        0.0071229,
        0.00705121,
        0.00588097,
        0.005052,
        0.00474276,
        0.0052334,
        0.00577935,
        0.0058755,
        0.00554659,
        0.00547181,
        0.00530999,
        0.00522953,
        0.00544005,
        0.00524939,
        0.00499403,
        0.0047643,
        0.00513688,
        0.00499164,
        0.00468825,
        0.00472769,
        0.00469025,
        0.00458871,
        0.00442378,
        0.00450796,
        0.00430348,
        0.00405679,
        0.0043283,
        0.00457954,
        0.00463563,
        0.00438297,
        0.00493838,
        0.00499582,
        0.0047046,
        0.00457659,
        0.00453212,
        0.00450091,
        0.00444808,
        0.00450042,
        0.00445786,
        0.00440586,
        0.00487865,
        0.00516491,
        0.00522428,
        0.00495679,
        0.00478835,
        0.00449979,
        0.00414966,
        0.0045059,
        0.00446255,
        0.00422328,
        0.00394713,
        0.00468656,
        0.00514418,
        0.00513227,
        0.00493634,
        0.00469493,
        0.00455454,
        0.00480227,
        0.00484687,
        0.00466689,
        0.00427039,
        0.00449104,
        0.00450988,
        0.00440642,
        0.00428653,
        0.00472537,
        0.00494893,
        0.0046378,
        0.00482075,
        0.00456006,
        0.00410377,
        0.00413127,
        0.00411459,
        0.00410956,
        0.00414296,
        0.00405811,
        0.00424414,
        0.00458309,
        0.00459993,
        0.00450075,
        0.00437892,
        0.00428988,
        0.00479789,
        0.00475223,
        0.00428353,
        0.00441457,
        0.0043923,
        0.00430435,
        0.00419851,
        0.00452057,
        0.00459052,
        0.00439843,
        0.00434709,
        0.00429677,
        0.0042946,
        0.0044117,
        0.00466778,
        0.00489593,
        0.00502956,
        0.00462683,
        0.00446885,
        0.00455151,
        0.00496378,
        0.00490993,
        0.00498673,
        0.00529873,
        0.00561025,
        0.00504617,
        0.00439045,
        0.00486841,
        0.00544198,
        0.00548585,
        0.00479568,
        0.00492794,
        0.00470985,
        0.00439622,
        0.00453509,
        0.00482045,
        0.00481284,
        0.00432896,
        0.0042947,
        0.00447217,
        0.00473796,
        0.00478848,
        0.00476531,
        0.00460347,
        0.00425502,
        0.00460787,
        0.00461888,
        0.00439352,
        0.00423077,
        0.0043627,
        0.00463667,
        0.00500712,
        0.0046984,
        0.00448438,
        0.00438634,
        0.00443216,
        0.00527574,
        0.00610689,
        0.00646647,
        0.00639111,
        0.00602624,
        0.00557958,
        0.00592047,
        0.00739439,
        0.0085301,
        0.00826604,
        0.00978231,
        null,
        0.0129804,
        0.0103857,
        0.00883694,
        0.00783961,
        0.00726855,
        0.00648817,
        0.0064464,
        0.00634032,
        0.00515681,
        0.00519131,
        0.00527366,
        0.0052412,
        0.00563115,
        0.00545376,
        0.00509103,
        0.00501859,
        0.00473396,
        0.00453101,
        0.00446982,
        0.00442643,
        0.00440596,
        0.0043626,
        0.00420969,
        0.00440844,
        0.00453529,
        0.0044979,
        0.00458148,
        0.00497768,
        0.00522811,
        0.0045554,
        0.00459887,
        0.00481665,
        0.00506389,
        0.00466435,
        0.00454725,
        0.00456105,
        0.00448104,
        0.00419196,
        0.00406357,
        0.00420697,
        0.00441714,
        0.00461151,
        0.00473934,
        0.00466429,
        0.00496458,
        0.00494126,
        0.00442216,
        0.00463257,
        0.00492195,
        0.00503166,
        0.00437037,
        0.00431843,
        0.00439838,
        0.00448158,
        0.00465006,
        0.00466488,
        0.00454362,
        0.00427472,
        0.00452271,
        0.00458105,
        0.00423721,
        0.00419163,
        0.00418384,
        0.00422215,
        0.00434307,
        0.00410535,
        0.00403214,
        0.00430681,
        0.00411142,
        0.00397821,
        0.00390518,
        0.00390442,
        0.00436046,
        0.00453162,
        0.00418145,
        0.00447756,
        0.00444563,
        0.00421947,
        0.00404339,
        0.0039733,
        0.00421607,
        0.00482557,
        0.00454125,
        0.00408726,
        0.00369713,
        0.00391295,
        0.00436376,
        0.00452194,
        0.00418694,
        0.00414031,
        0.00426881,
        0.00444798,
        0.00444328,
        0.00413299,
        0.00404745,
        0.00437042,
        0.00487858,
        0.0051567,
        0.00507962,
        0.00429297,
        0.00397901,
        0.00395639,
        0.00420027,
        0.00466396,
        0.00484539,
        0.0048525,
        0.00485776,
        0.00492323,
        0.00505386,
        0.00524376,
        0.00508717,
        0.0050884,
        0.00503035,
        0.00446442,
        0.00457317,
        0.00473318,
        0.00480875,
        0.00512021,
        0.00516336,
        0.00495362,
        0.00443262,
        0.00418731,
        0.00419548,
        0.00445488,
        0.00467821,
        0.00481328,
        0.004764,
        0.00430306,
        0.00434607,
        0.00456832,
        0.00487661,
        0.00465729,
        0.00474079,
        0.00483289,
        0.00447074,
        0.00477059,
        0.00482209,
        0.00453052,
        0.00523048,
        0.00518925,
        0.00500468,
        0.00541858,
        0.00525255,
        0.00527706,
        0.00557816,
        0.00549369,
        0.00575677,
        0.00607901,
        0.00615385,
        0.00610018,
        0.00602634,
        0.00600857,
        0.0065303,
        0.00688157,
        0.00725757,
        0.00787424,
        0.00847987,
        0.0088171,
        0.00909807,
        0.0110679,
        null,
        0.0119694,
        0.00982975,
        0.0087588,
        0.00808477,
        0.00770138,
        0.00745194,
        0.00717058,
        0.00708054,
        0.00733363,
        0.00674693,
        0.00624033,
        0.00588577,
        0.00586373,
        0.00577466,
        0.00569237,
        0.00565228,
        0.00541758,
        0.00520034,
        0.00502956,
        0.00499498,
        0.00513628,
        0.00509726,
        0.00473626,
        0.00500535,
        0.00527059,
        0.0054598,
        0.00539243,
        0.00557254,
        0.00545994,
        0.004891,
        0.0046672,
        0.00463615,
        0.00472704,
        0.00485137,
        0.00521186,
        0.00539228,
        0.00532019,
        0.00561604,
        0.00556285,
        0.00534421,
        0.0051549,
        0.00548725,
        0.00547723,
        0.00504633,
        0.00508345,
        0.00519877,
        0.00529202,
        0.0052437,
        0.00501226,
        0.00502804,
        0.00524209,
        0.00481562,
        0.00451743,
        0.00441794,
        0.00464167,
        0.00481308,
        0.00492954,
        0.00499657,
        0.0050384,
        0.00501486,
        0.00483172,
        0.0043852,
        0.00463048,
        0.00469306,
        0.00468774,
        0.00528597,
        0.00516652,
        0.00509279,
        0.00546548,
        0.00505906,
        0.00525942,
        0.00574341,
        0.00550904,
        0.00601679,
        0.00647365,
        0.00656529,
        0.00589961,
        0.00586575,
        0.00607792,
        0.00573248,
        0.00568193,
        0.0056898,
        0.00568005,
        0.00537126,
        0.0054342,
        0.00574794,
        0.00619639,
        0.00675419,
        0.0069139,
        0.00663317,
        0.0067823,
        0.00720883,
        0.00774617,
        0.00822418,
        0.00836199,
        0.00922064,
        0.0106646,
        0.0105953,
        0.0126267,
        0.015437,
        null,
        0.0143348,
        0.0128234,
        0.0113445,
        0.0103251,
        0.00978933,
        0.00970103,
        0.00808318,
        0.00741873,
        0.00729003,
        0.00720144,
        0.00699498,
        0.00678113,
        0.00659143,
        0.0065355,
        0.00665042,
        0.00664658,
        0.00618479,
        0.00619721,
        0.00628885,
        0.00641727,
        0.00658956,
        0.00610016,
        0.00545275,
        0.004997,
        0.0056465,
        0.00589437,
        0.00565288,
        0.00488445,
        0.00468721,
        0.00474271,
        0.00492498,
        0.0050849,
        0.00521535,
        0.00531482,
        0.00536972,
        0.00584701,
        0.00617385,
        0.00618477,
        0.00634916,
        0.00661947,
        0.00692171,
        0.00714888,
        0.00807291,
        0.00925584,
        0.0106626,
        0.0126741,
        null,
        0.00583854,
        0.00566378,
        0.00548903,
        0.00531427,
        0.00513951,
        0.00533655,
        0.00572855,
        0.00606475,
        0.00567127,
        0.00537206,
        0.00532898,
        0.00539489,
        0.00500431,
        0.00495168,
        0.00610243,
        0.00580364,
        0.00557953,
        0.00552034,
        0.00554084,
        0.00522659,
        0.00518416,
        0.00572265,
        0.00577634,
        0.00565217,
        0.00544204,
        0.00533105,
        0.00543917,
        0.00547188,
        0.00537273,
        0.00529331,
        0.00559503,
        0.00575784,
        0.00519055,
        0.00534087,
        0.0052046,
        0.0049037,
        0.00558718,
        0.00647539,
        0.00676765,
        0.0058925,
        0.00576238,
        0.00593962,
        0.00607641,
        0.00539801,
        0.00609467,
        0.00642787,
        0.00602582,
        0.00662826,
        0.00642736,
        0.00609213,
        0.00633042,
        0.0062358,
        0.00647391,
        0.00690549,
        0.00641951,
        0.00619821,
        0.00625238,
        0.00664718,
        0.00611166,
        0.00627057,
        0.00674124,
        0.00660864,
        0.00733981,
        0.00789895,
        0.00801575,
        0.00819553,
        0.00768396,
        0.00723653,
        0.00774601,
        0.00802287,
        0.00867,
        0.0096119,
        0.0100439,
        0.00957138,
        0.00963752,
        0.0111151,
        0.011505,
        0.0115723,
        0.0115597,
        0.0119885,
        0.0109828,
        0.0118405,
        0.0151586,
        0.0153716,
        0.0159543,
        0.0169805,
        0.0186418,
        null,
        0.0180139,
        0.0157452,
        0.015783,
        0.015911,
        0.0139537,
        0.0139368,
        0.0135142,
        0.0126544,
        0.0118268,
        0.0113218,
        0.0105852,
        0.00939382,
        0.00851155,
        0.0084192,
        0.00904256,
        0.0104215,
        0.0095364,
        0.00847465,
        0.00758826,
        0.00682788,
        0.00724417,
        0.00760768,
        0.00709803,
        0.00685305,
        0.00683327,
        0.00704594,
        0.00756374,
        0.00701265,
        0.00672564,
        0.00702273,
        0.00650363,
        0.00656502,
        0.00669577,
        0.00632233,
        0.00602725,
        0.005903,
        0.00588364,
        0.00566628,
        0.0058336,
        0.00625162,
        0.00685988,
        0.00625792,
        0.00605676,
        0.0060076,
        0.00574488,
        0.00551879,
        0.00603616,
        0.00700618,
        0.00590278,
        0.0056449,
        0.00555632,
        0.00520328,
        0.00487439,
        0.00509546,
        0.0055494,
        0.00533835,
        0.0058176,
        0.00586123,
        0.00522268,
        0.0055392,
        0.00560559,
        0.00544432,
        0.0050271,
        0.00513401,
        0.00515974,
        0.00510067,
        0.00514442,
        0.00503106,
        0.00501668,
        0.00520314,
        0.00508842,
        0.00510555,
        0.0051177,
        0.0049176,
        0.00472838,
        0.00497938,
        0.00548188,
        0.00480205,
        0.00490249,
        0.0050677,
        0.00489655,
        0.00471105,
        0.00496236,
        0.0051997,
        0.0044619,
        0.00432289,
        0.00448461,
        0.00481517,
        0.00464852,
        0.00472319,
        0.00489923,
        0.00508382,
        0.00474557,
        0.00470298,
        0.00477356,
        0.00433204,
        0.00452917,
        0.00464685,
        0.00453311,
        0.00537464,
        0.00526239,
        0.00491176,
        0.00506999,
        0.00510406,
        0.00519677,
        0.00529919,
        0.00513879,
        0.00497481,
        0.00493892,
        0.00508751,
        0.00483349,
        0.00503545,
        0.00533264,
        0.00518116,
        0.00511465,
        0.00518019,
        0.00543895,
        0.00622166,
        0.00630711,
        0.00623645,
        0.00631099,
        0.00633877,
        0.00681446,
        0.007819,
        0.00963333,
        0.0112135,
        0.0137001,
        0.0169015,
        0.016313,
        0.0130747,
        0.009991,
        0.00944366,
        0.00850142,
        0.00747297,
        0.00649118,
        0.00591608,
        0.00535152,
        0.00491812,
        0.00470372,
        0.00538769,
        0.00508054,
        0.00449441,
        0.00438277,
        0.00435526,
        0.00412621,
        0.00388841,
        0.00436313,
        0.00452987,
        0.00460386,
        0.00467306,
        0.00513445,
        0.00486975,
        0.00444504,
        0.00456271,
        0.00448669,
        0.00440354,
        0.00433877,
        0.0043081,
        0.00428561,
        0.00434416,
        0.00452693,
        0.00435852,
        0.00422917,
        0.00410829,
        0.00394853,
        0.00365744,
        0.00365665,
        0.00394543,
        0.00420627,
        0.00410828,
        0.00385546,
        0.00354146,
        0.0038758,
        0.00406726,
        0.00415014,
        0.00418225,
        0.00396204,
        0.00412879,
        0.00470747,
        0.00472365,
        0.00419982,
        0.00380989,
        0.00399508,
        0.00411998,
        0.00414582,
        0.0040804,
        0.00392253,
        0.00386203,
        0.00404605,
        0.00443098,
        0.00413909,
        0.00420783,
        0.00438769,
        0.00448554,
        0.0046669,
        0.00437696,
        0.0038492,
        0.0036691,
        0.00381694,
        0.00413143,
        0.00451302,
        0.00419051,
        0.00418027,
        0.00420281,
        0.00399196,
        0.00380219,
        0.00403065,
        0.0043573,
        0.00384627,
        0.00393492,
        0.00401772,
        0.00395425,
        0.00438088,
        0.00436359,
        0.00418203,
        0.00410398,
        0.0041632,
        0.00420744,
        0.00416373,
        0.00382183,
        0.00396403,
        0.0042186,
        0.00443652,
        0.00402131,
        0.00391496,
        0.00392101,
        0.00382912,
        0.00403732,
        0.00411492,
        0.00404325,
        0.00384549,
        0.00423879,
        0.00424843,
        0.0035429,
        0.00392422,
        0.00421818,
        0.00422722,
        0.00367696,
        0.00391992,
        0.00393471,
        0.00371762,
        0.00359693,
        0.00393639,
        0.00408648,
        0.00378864,
        0.00368357,
        0.0037311,
        0.00388677,
        0.00412213,
        0.0039654,
        0.00375858,
        0.00358611,
        0.00365123,
        0.00401573,
        0.00405712,
        0.00356905,
        0.00402429,
        0.00402906,
        0.00382128,
        0.00367306,
        0.00367519,
        0.0036661,
        0.003701,
        0.00406886,
        0.00412591,
        0.0040377,
        0.0038612,
        0.0036514,
        0.00385671,
        0.00419711,
        0.00436203,
        0.00408897,
        0.00400652,
        0.00413422,
        0.00427259,
        0.00413948,
        0.00406606,
        0.00417818,
        0.00435591,
        0.00425891,
        0.0042176,
        0.00468301,
        0.00465503,
        0.0044678,
        0.00421544,
        0.00413818,
        0.00465472,
        0.00483139,
        0.00430202,
        0.00423533,
        0.00437062,
        0.00466919,
        0.00512284,
        0.00469494,
        0.00460915,
        0.00490238,
        0.00537048,
        0.00538316,
        0.00544664,
        0.00573794,
        0.00579807,
        0.0067236,
        0.00825675,
        0.0102558,
        0.011084,
        0.0100449,
        0.00782046,
        0.0068018,
        0.00611709,
        0.00580705,
        0.00583371,
        0.0048188,
        0.00462392,
        0.00481714,
        0.00505994,
        0.00475749,
        0.00427537,
        0.00379602,
        0.00377704,
        0.00404492,
        0.00421296,
        0.00416786,
        0.0040693,
        0.00387752,
        0.00394711,
        0.00464396,
        0.00430845,
        0.00417411,
        0.00421504,
        0.00417568,
        0.0043531,
        0.00432431,
        0.00402688,
        0.00417359,
        0.00400602,
        0.0038901,
        0.00412367,
        0.00423571,
        0.00457874,
        0.00494605,
        0.00480334,
        0.0045862,
        0.00422515,
        0.00381052,
        0.0041822,
        0.00450375,
        0.00461689,
        0.00437431,
        0.00456696,
        0.00443407,
        0.0041402,
        0.00401797,
        0.00460303,
        0.00479372,
        0.00447888,
        0.0045552,
        0.00448049,
        0.00441037,
        0.00444195,
        0.00478819,
        0.00462255,
        0.00444062,
        0.00512889,
        0.00476024,
        0.00448916,
        0.00444466,
        0.00444161,
        0.00463952,
        0.00488877,
        0.00511382,
        0.00508766,
        0.00485426,
        0.00470974,
        0.005089,
        0.00475984,
        0.00470829,
        0.00493516,
        0.00496288,
        0.00522687,
        0.00536302,
        0.00526405,
        0.00585978,
        0.00577779,
        0.00551615,
        0.00561016,
        0.00545275,
        0.00574048,
        0.00614054,
        0.00536237,
        0.00578429,
        0.00658206,
        0.00742194,
        0.0073174,
        0.00737022,
        0.00779168,
        0.00882328,
        0.00972547,
        0.00965965,
        0.0096177,
        null,
        0.0122793,
        0.0140151,
        0.0162527,
        0.0140312,
        0.0123678,
        0.0104827,
        0.0103505,
        0.0105152,
        0.0105337,
        0.00917061,
        0.00888429,
        0.00872533,
        0.00832684,
        0.00760306,
        0.00755008,
        0.00747153,
        0.00659317,
        0.00729425,
        0.00731029,
        0.00687504,
        0.00713713,
        0.00706309,
        0.00686261,
        0.00659765,
        0.00636156,
        0.00739204,
        0.00831814,
        0.00803593,
        0.00705384,
        0.00653901,
        0.00634845,
        0.00617571,
        0.00716317,
        0.00785361,
        0.00804296,
        0.00826394,
        0.00755779,
        0.00736213,
        0.00840138,
        0.00701007,
        0.00680905,
        0.00693221,
        0.00614424,
        0.00585938,
        0.00579215,
        0.00576527,
        0.00523136,
        0.00498931,
        0.00494641,
        0.00506642,
        0.00519671,
        0.00495965,
        0.00469884,
        0.00474518,
        0.0050189,
        0.00516414,
        0.00515791,
        0.00496949,
        0.00588957,
        0.00617498,
        0.00557759,
        0.00557151,
        0.00665109,
        0.00777607,
        0.00824349,
        0.00759925,
        0.00705762,
        0.00663159,
        0.00634225,
        0.00657019,
        0.00611233,
        0.00507967,
        0.00473493,
        0.00521009,
        0.005631,
        0.00559732,
        0.00503606,
        0.00481099,
        0.00477135,
        0.00478257,
        0.00501266,
        0.00485286,
        0.00453825,
        0.00484678,
        0.00466945,
        0.00448621,
        0.00445581,
        0.00475659,
        0.00464489,
        0.00442029,
        0.00429152,
        0.00513683,
        0.0050232,
        0.00457456,
        0.00497022,
        0.00464852,
        0.00450728,
        0.00461866,
        0.00464801,
        0.00485881,
        0.00502361,
        0.00502831,
        0.00488534,
        0.00480918,
        0.00467722,
        0.00433164,
        0.00445319,
        0.00430595,
        0.00398708,
        0.00395934,
        0.00403142,
        0.00416429,
        0.00432454,
        0.00428017,
        0.0042007,
        0.00427652,
        0.00465726,
        0.00455513,
        0.00457424,
        0.00459684,
        0.00439117,
        0.00443715,
        0.00437198,
        0.00417042,
        0.0039675,
        0.00442643,
        0.0046873,
        0.00441194,
        0.00429262,
        0.00435176,
        0.00446229,
        0.00450024,
        0.00452565,
        0.00458589,
        0.00460887,
        0.00439265,
        0.00472182,
        0.00480811,
        0.00453852,
        0.00452365,
        0.00460043,
        0.00454927,
        0.00422423,
        0.00433897,
        0.00447809,
        0.00460444,
        0.00465789,
        0.00443237,
        0.00445125,
        0.00458965,
        0.0041003,
        0.00432048,
        0.00447357,
        0.00432831,
        0.00463003,
        0.00445207,
        0.00428487,
        0.00456327,
        0.00436366,
        0.00429329,
        0.00426371,
        0.00406257,
        0.00418167,
        0.00422071,
        0.00414527,
        0.00416108,
        0.00433432,
        0.00443873,
        0.00435713,
        0.00404688,
        0.00406604,
        0.00432492,
        0.0047437,
        0.00460177,
        0.00437288,
        0.00417981,
        0.0042764,
        0.00417455,
        0.00410041,
        0.00408092,
        0.00387378,
        0.00409575,
        0.00441742,
        0.004642,
        0.00442671,
        0.00443136,
        0.00440735,
        0.00398564,
        0.00398386,
        0.00420673,
        0.00452573,
        0.00455501,
        0.00432152,
        0.00416707,
        0.00419041,
        0.00421132,
        0.00408728,
        0.00406716,
        0.00434931,
        0.0045147,
        0.00440078,
        0.00421334,
        0.0043396,
        0.00405463,
        0.0037596,
        0.00364646,
        0.0043393,
        0.00483855,
        0.00484563,
        0.0042702,
        0.00428296,
        0.00433263,
        0.00435268,
        0.00427782,
        0.00404595,
        0.00407339,
        0.00431512,
        0.00465327,
        0.00449057,
        0.00440538,
        0.00443562,
        0.00423537,
        0.00420026,
        0.00429879,
        0.00449853,
        0.00431294,
        0.00411191,
        0.00400144,
        0.00410846,
        0.00426715,
        0.00428801,
        0.00432805,
        0.00479625,
        0.00483494,
        0.00473384,
        0.00459677,
        0.00469789,
        0.00510388,
        0.00569534,
        0.00639889,
        0.00607332,
        0.00615301,
        0.00642469,
        0.00666824,
        0.00592892,
        0.0055578,
        0.00542489,
        0.00488563,
        0.0048388,
        0.0045793,
        0.00409083,
        0.00453091,
        0.00464979,
        0.00459953,
        0.00445215,
        0.00428633,
        0.0043157,
        0.00433631,
        0.00409353,
        0.00435462,
        0.0044832,
        0.00442537,
        0.00416379,
        0.00455259,
        0.00461299,
        0.00417607,
        0.00395217,
        0.00396905,
        0.00409865,
        0.00427504,
        0.00451113,
        0.00457346,
        0.00451095,
        0.00437144,
        0.00440477,
        0.00436164,
        0.00422135,
        0.00398306,
        0.00398479,
        0.00423084,
        0.00456637,
        0.00380997,
        0.00369836,
        0.00385396,
        0.00406467,
        0.00440254,
        0.00417324,
        0.00384408,
        0.00405412,
        0.00419804,
        0.0043153,
        0.00432804,
        0.00397846,
        0.00433541,
        0.00428165,
        0.00370904,
        0.00379097,
        0.00391509,
        0.00405251,
        0.00418755,
        0.00424589,
        0.00395209,
        0.00368285,
        0.00390589,
        0.0039401,
        0.00395292,
        0.00400618,
        0.00422598,
        0.00389794,
        0.00374658,
        0.00390963,
        0.00417519,
        0.00398656,
        0.00386397,
        0.00406329,
        0.0038503,
        0.00401043,
        0.00417254,
        0.00389654,
        0.00422597,
        0.00422717,
        0.00404676,
        0.00414929,
        0.00424502,
        0.00421795,
        0.00408774,
        0.00409654,
        0.00392801,
        0.00388527,
        0.00410646,
        0.00433157,
        0.00421938,
        0.00393571,
        0.00361669,
        0.00348375,
        0.00360214,
        0.00376113,
        0.0035314,
        0.00352436,
        0.00342514,
        0.00331632,
        0.00383247,
        0.00417591,
        0.00428281,
        0.00411916,
        0.00388659,
        0.00378074,
        0.00374055,
        0.00372516,
        0.0036953,
        0.00354237,
        0.00348738,
        0.00392848,
        0.00388589,
        0.00381125,
        0.00374218,
        0.00359992,
        0.00363179,
        0.00374141,
        0.00388932,
        0.00394765,
        0.00428382,
        0.00447961,
        0.00424947,
        0.0039651,
        0.00411462,
        0.00429475,
        0.00389339,
        0.00417707,
        0.00418833,
        0.00391512,
        0.00354161,
        0.00389026,
        0.00425896,
        0.00442932,
        0.00418077,
        0.00428812,
        0.00439754,
        0.00432261,
        0.00412328,
        0.00423999,
        0.00455024,
        0.00494776,
        0.00471967,
        0.00463763,
        0.00469151,
        0.0047461,
        0.00508137,
        0.00548476,
        0.00586887,
        0.00596646,
        0.00658789,
        0.00719911,
        0.00753362,
        0.007038,
        0.00791602,
        0.00936749,
        0.0108207,
        0.011267,
        0.0118865,
        0.0128649,
        0.0145033,
        0.0126154,
        0.0111814,
        0.010376,
        0.0090652,
        0.00826093,
        0.00738154,
        0.00640388,
        0.0064116,
        0.00627503,
        0.00605186,
        0.00577064,
        0.00578451,
        0.00573243,
        0.00590384,
        0.00666075,
        0.00642224,
        0.00630738,
        0.00618706,
        0.00554089,
        0.00526448,
        0.00532326,
        0.00552264,
        0.00496805,
        0.00475771,
        0.00451291,
        0.00410595,
        0.0040458,
        0.00419287,
        0.0042904,
        0.00412626,
        0.00438674,
        0.00429236,
        0.00419128,
        0.00469483,
        0.0041545,
        0.00373433,
        0.00361473,
        0.00393093,
        0.0041631,
        0.00399132,
        0.00346386,
        0.00348128,
        0.00380522,
        0.00403978,
        0.00395899,
        0.00382676,
        0.00398065,
        0.00412276,
        0.00394277,
        0.00430288,
        0.00433221,
        0.00404893,
        0.00349809,
        0.00348534,
        0.0035093,
        0.00358883,
        0.00416879,
        0.0044418,
        0.00439056,
        0.00403435,
        0.0036933,
        0.00367238,
        0.00374472,
        0.00377415,
        0.00404107,
        0.00420906,
        0.00417168,
        0.00376564,
        0.00360789,
        0.00394022,
        0.00441867,
        0.00421524,
        0.00413329,
        0.00431957,
        0.00468619,
        0.00453318,
        0.00438859,
        0.00405329,
        0.00352395,
        0.00399338,
        0.00401203,
        0.00385112,
        0.0036978,
        0.00350364,
        0.00345757,
        0.00363931,
        0.00419271,
        0.00395739,
        0.00383485,
        0.00387716,
        0.00395612,
        0.00399611,
        0.00406913,
        0.00411587,
        0.00369953,
        0.00358004,
        0.00356455,
        0.00358186,
        0.00372755,
        0.00381377,
        0.00390604,
        0.00405496,
        0.00427897,
        0.00398683,
        0.00359985,
        0.00385701,
        0.00393216,
        0.00380585,
        0.00362353,
        0.00383127,
        0.00354521,
        0.00365148,
        0.00417008,
        0.00391839,
        0.00400658,
        0.00413636,
        0.0041721,
        0.00404537,
        0.00373887,
        0.00362976,
        0.00403199,
        0.00380725,
        0.00382621,
        0.00394175,
        0.00393818,
        0.00375716,
        0.00381165,
        0.00404155,
        0.00411562,
        0.0040006,
        0.00385138,
        0.0037181,
        0.00367272,
        0.00384151,
        0.00383645,
        0.00351301,
        0.00356934,
        0.00371022,
        0.00380577,
        0.00374648,
        0.00408047,
        0.00405438,
        0.00387143,
        0.00382898,
        0.00365655,
        0.00356186,
        0.00357594,
        0.00374296,
        0.00385695,
        0.00378514,
        0.00362799,
        0.00401895,
        0.00381012,
        0.00363869,
        0.00369872,
        0.003402,
        0.00361375,
        0.00394797,
        0.00415542,
        0.0046134,
        0.00442879,
        0.00405929,
        0.00405511,
        0.00389138,
        0.0037993,
        0.00381634,
        0.00400579,
        0.0040682,
        0.00395484,
        0.00385533,
        0.00456838,
        0.00413156,
        0.00373505,
        0.0037409,
        0.00397278,
        0.00377453,
        0.00375934,
        0.00425447,
        0.00409722,
        0.00407455,
        0.00408031,
        0.00400791,
        0.00411647,
        0.00421646,
        0.00421726,
        0.00395285,
        0.00470148,
        0.0049931,
        0.00476963,
        0.00443099,
        0.00474844,
        0.00513976,
        0.00538434,
        0.00504176,
        0.00484424,
        0.00471547,
        0.00463725,
        null,
        0.00383412,
        0.0036622,
        0.00398945,
        0.00473018,
        0.00555834,
        0.00439369,
        0.00434195,
        0.00442844,
        0.00432995,
        0.00534202,
        0.00519568,
        0.00474771,
        0.00458133,
        0.00496811,
        0.00487506,
        0.00480305,
        0.00540563,
        0.00479777,
        0.00468835,
        0.00486074,
        0.00457727,
        0.0045421,
        0.00426752,
        0.00386638,
        0.00403219,
        0.00419668,
        0.00433952,
        0.00441593,
        0.00416896,
        0.00408561,
        0.00402443,
        0.00393355,
        0.004103,
        0.00436806,
        0.00457755,
        0.00459526,
        0.00404791,
        0.0038183,
        0.00377262,
        0.00374933,
        0.0036713,
        0.00359328,
        0.00362493,
        0.00402031,
        0.00406205,
        0.00397106,
        0.00390558,
        0.00436967,
        0.00433626,
        0.00424045,
        0.00420744,
        0.00419672,
        0.00424903,
        0.00434417,
        null,
        0.00444968,
        0.00411118,
        0.00538812,
        0.00473955,
        0.00417419,
        0.00400893,
        0.00452344,
        0.00459162,
        0.00447816,
        0.00449473,
        0.00497363,
        0.00508858,
        0.00491345,
        0.00460441,
        0.00455034,
        0.00479431,
        0.0051541,
        0.00504525,
        0.00499825,
        0.00482457,
        0.00464425,
        0.00525168,
        0.00541409,
        0.0050909,
        0.00444614,
        0.00558911,
        0.00590744,
        0.0055945,
        0.00477099,
        0.0050403,
        0.00519171,
        0.0050756,
        0.00452534,
        0.00451608,
        0.00464906,
        0.00465323,
        0.00411811,
        0.0044593,
        0.00457933,
        0.00441843,
        0.00405906,
        0.00412313,
        0.00420709,
        0.00425593,
        0.00430382,
        0.00425743,
        0.00415513,
        0.00405354,
        0.00422318,
        0.0046419,
        0.00482945,
        0.00460766,
        0.00476306,
        0.00472305,
        0.00487122,
        0.00544573,
        0.00460435,
        0.00430697,
        0.00449046,
        0.00511862,
        0.00527611,
        0.00518292,
        0.00501807,
        0.00507093,
        0.00500608,
        0.00492788,
        0.00486138,
        0.00484182,
        0.00449143,
        0.00457702,
        0.00503012,
        0.00487081,
        0.00497709,
        0.0049435,
        0.0046477,
        0.00409996,
        0.00393924,
        0.00412469,
        0.00458301,
        0.00451725,
        0.00453661,
        0.00446066,
        0.00414902,
        0.0037902,
        0.00391113,
        0.00422744,
        0.00443675,
        0.00454598,
        0.00433917,
        0.00414525,
        0.00451637,
        0.0046085,
        0.00470369,
        0.00475205,
        0.00455026,
        0.00424745,
        0.00409855,
        0.00414561,
        0.00436619,
        0.00428596,
        0.00433517,
        0.00454706,
        0.0043139,
        0.00425439,
        null,
        0.00449373,
        0.00472399,
        0.00495425,
        0.00518451,
        0.00541428,
        0.00531749,
        0.00511651,
        0.00503385,
        0.00532514,
        0.00574477,
        0.00582407,
        0.00568818,
        0.00549004,
        0.00525796,
        0.00564177,
        0.00623264,
        0.00631475,
        0.00700255,
        0.00729411,
        0.00733842,
        0.00755636,
        0.00753801,
        0.00734621,
        0.00746721,
        0.00897586,
        0.0103604,
        0.0115265,
        0.0127376,
        0.014721,
        0.0154046,
        0.0172337,
        0.0203312,
        0.0237904,
        0.0196848,
        0.0176007,
        0.0154041,
        0.013392,
        0.01243,
        0.0120711,
        0.0119184,
        0.00994838,
        0.00922756,
        0.00884325,
        0.00845208,
        0.00886206,
        0.00902329,
        0.00906093,
        0.00900314,
        0.00836192,
        0.00860616,
        0.00930646,
        0.0101223,
        0.00906366,
        0.00936821,
        0.0101006,
        0.0106244,
        0.0117127,
        0.0126672,
        0.0132772,
        0.0133681,
        0.0152612,
        null,
        0.0166393,
        0.0180982,
        0.0162814,
        0.0151776,
        0.0129067,
        0.0127127,
        0.0133371,
        0.0137316,
        0.0114894,
        0.0103688,
        0.00959208,
        0.00919274,
        0.00962844,
        0.00773316,
        0.0069037,
        0.00726917,
        0.00727442,
        0.00705523,
        0.00709529,
        0.00716825,
        0.00609207,
        0.00654192,
        0.00695942,
        0.00693101,
        0.00625471,
        0.00636469,
        0.00634102,
        0.0059958,
        0.00564232,
        0.0054676,
        0.00579982,
        0.00643583,
        0.00587608,
        0.00601535,
        0.00582067,
        0.00516395,
        0.00509849,
        0.00529246,
        0.00550856,
        0.00566299,
        0.00573038,
        0.00611476,
        0.00629129,
        0.00619755,
        0.00665126,
        0.00665488,
        0.00653384,
        0.00636379,
        0.00568479,
        0.00532994,
        0.00528908,
        0.00547778,
        0.00510869,
        0.00519968,
        0.00516334,
        0.00482199,
        0.00518301,
        0.00527484,
        0.00508037,
        0.00467521,
        0.0051027,
        0.0051227,
        0.00511257,
        0.00526694,
        0.00543461,
        0.00545626,
        0.00528705,
        0.00494271,
        0.00509546,
        0.00473943,
        0.00452943,
        0.00482394,
        0.004838,
        0.00473863,
        0.00469777,
        0.00480771,
        0.00479443,
        0.00472276,
        0.00476636,
        0.00500644,
        0.00457741,
        0.00496253,
        0.00510467,
        0.00436545,
        0.00441904,
        0.00489855,
        0.00514126,
        0.0046611,
        0.00484478,
        0.00478343,
        0.00465085,
        0.00458806,
        0.00482159,
        0.00468457,
        0.00443784,
        0.00429541,
        0.00469986,
        0.00462156,
        0.00440827,
        0.00436495,
        0.00470419,
        0.00456231,
        0.00433344,
        0.00434803,
        0.0046391,
        0.00465264,
        0.0046731,
        0.00495237,
        0.00443366,
        0.00448708,
        0.00476581,
        0.00494059,
        0.00485457,
        0.00499473,
        0.00521063,
        0.00536049,
        0.00511541,
        0.00476083,
        0.00443146,
        0.00424768,
        0.00438279,
        0.00442232,
        0.00440275,
        0.00436416,
        0.00435377,
        0.00441119,
        0.00447085,
        0.00446828,
        0.00472437,
        0.00482092,
        0.0048111,
        0.00475117,
        0.00535246,
        0.00484719,
        0.00423053,
        0.00444063,
        0.00481981,
        0.00480465,
        0.00462445,
        0.0045344,
        0.00480923,
        0.00469883,
        0.00459461,
        0.00491265,
        0.00489175,
        0.00473403,
        0.00457335,
        0.0045443,
        0.00457527,
        0.00484486,
        0.00494238,
        0.00447067,
        0.00457159,
        0.00462944,
        0.00462959,
        0.0045558,
        0.00416617,
        0.00424929,
        0.00449964,
        0.00463696,
        0.00472726,
        0.00458463,
        0.00430797,
        0.00400427,
        0.00458934,
        0.00463496,
        0.00446058,
        0.00440413,
        0.00472656,
        0.00452705,
        0.00432938,
        0.00465506,
        0.00457088,
        0.00465191,
        0.0048443,
        0.00509286,
        0.00493279,
        0.00455465,
        0.00430902,
        0.00452341,
        0.00519833,
        0.00502899,
        0.0045873,
        0.00438513,
        0.00432983,
        0.00458726,
        0.0047196,
        0.00436226,
        0.00438912,
        0.00473606,
        0.00504002,
        0.0049956,
        0.00462912,
        0.00458835,
        0.00450746,
        0.0041155,
        0.00431451,
        0.00442552,
        0.00444455,
        0.00438767,
        0.00485067,
        0.00485561,
        0.00474596,
        0.00477567,
        0.00482915,
        0.00476979,
        0.00460195,
        0.00435078,
        0.00455418,
        0.00435523,
        0.00449011,
        0.00538427,
        0.00496468,
        0.0045925,
        0.00454202,
        0.0049518,
        0.00485827,
        0.00491305,
        0.00490418,
        0.00471673,
        0.00437964,
        0.00472382,
        0.00491477,
        0.00458809,
        0.00456019,
        0.00469562,
        0.00499544,
        0.00542473,
        0.0056069,
        0.00556466,
        0.00564282,
        0.00591449,
        0.00548346,
        0.00512675,
        0.00492119,
        0.00492563,
        0.00529989,
        0.00507857,
        0.00485877,
        0.00484833,
        0.00453331,
        0.00451615,
        0.00467592,
        0.00491549,
        0.00490925,
        0.00469504,
        0.00483703,
        0.00529289,
        0.00469973,
        0.00456003,
        0.00449192,
        0.00447554,
        0.00508731,
        0.00552715,
        0.00528914,
        0.00449534,
        0.00460096,
        0.0049699,
        0.00501173,
        0.0047042,
        0.0045439,
        0.0048054,
        0.0049347,
        0.00491976,
        0.00522064,
        0.00505514,
        0.00497442,
        0.00501846,
        0.004868,
        0.00495317,
        0.00506175,
        0.00504815,
        0.00462101,
        0.00469488,
        0.00491527,
        0.00505354,
        0.00464642,
        0.00479506,
        0.004987,
        0.00505706,
        0.00478362,
        0.00492044,
        0.00506858,
        0.00507633,
        0.00473859,
        0.00479818,
        0.00479648,
        0.0047167,
        0.00462219,
        0.00445502,
        0.00449072,
        0.00475389,
        0.0052307,
        0.00500602,
        0.00484413,
        0.00471872,
        0.00451372,
        0.00483776,
        0.00507129,
        0.0051496,
        0.00503106,
        0.0051497,
        0.00480396,
        0.00448009,
        0.00478253,
        0.00498463,
        0.00482936,
        0.00459048,
        0.00458566,
        0.00485896,
        0.00493269,
        0.00480098,
        0.00446353,
        0.004431,
        0.00493934,
        0.00540655,
        0.00532082,
        0.00493584,
        0.00484349,
        0.00482652,
        0.00473289,
        0.00460906,
        0.00480874,
        0.00507408,
        0.00521968,
        0.00515607,
        0.0050021,
        0.00485952,
        0.00479126,
        0.00486687,
        0.00505443,
        0.00522637,
        0.00533567,
        0.00549269,
        0.00520131,
        0.00517523,
        0.00558749,
        0.00549401,
        0.00539453,
        0.00522451,
        0.00509037,
        0.00567492,
        0.0054859,
        0.00519321,
        0.00504865,
        0.00519354,
        0.0053409,
        0.00542932,
        0.0054888,
        0.00569629,
        0.00534778,
        0.00511475,
        0.0051121,
        0.00525534,
        0.00530922,
        0.00560752,
        0.00595875,
        0.00573496,
        0.00570527,
        0.00585257,
        0.00595336,
        0.00551417,
        0.00585636,
        0.00577961,
        0.00551721,
        0.00569115,
        0.0059532,
        0.00608068,
        0.00605794,
        0.00589584,
        0.00625976,
        0.00608457,
        0.00590002,
        0.00650713,
        0.00654609,
        0.00636755,
        0.00624726,
        0.00649007,
        0.00652012,
        0.00683111,
        0.0071944,
        0.00740689,
        0.00776488,
        0.00858308,
        0.00905641,
        0.00864099,
        0.00835717,
        0.00855673,
        0.00920266,
        0.0101397,
        0.00993011,
        0.0104929,
        0.0109787,
        0.0111217,
        0.0126742,
        0.0148433,
        0.0169842,
        0.0188452,
        0.0206586,
        null,
        0.0229282,
        0.0205973,
        0.0175493,
        0.0146112,
        0.0125427,
        0.0117214,
        0.0116769,
        0.0113032,
        0.00995911,
        0.00943935,
        0.00916166,
        0.00924368,
        0.00957918,
        0.00842355,
        0.00755417,
        0.00704492,
        0.00698427,
        0.00768462,
        0.00748278,
        0.00727673,
        0.00727598,
        0.00700231,
        0.00710779,
        0.0071047,
        0.00689225,
        0.00658417,
        0.00635882,
        0.006087,
        0.0060127,
        0.00695618,
        0.00634455,
        0.0058379,
        0.00577034,
        0.00630753,
        0.0059657,
        0.00602584,
        0.00631837,
        0.00631738,
        0.00541528,
        0.00561623,
        0.00627976,
        0.00632905,
        0.00614461,
        0.00598445,
        0.00588433,
        0.00587276,
        0.00510565,
        0.00506041,
        0.0051393,
        0.004875,
        0.0048329,
        0.00494728,
        0.0050837,
        0.0051507,
        0.00512766,
        0.00520653,
        0.00525965,
        0.00527989,
        0.00567366,
        0.00561815,
        0.00540105,
        0.00527916,
        0.00599027,
        0.00561764,
        0.00548201,
        0.00564122,
        0.00487798,
        0.00486957,
        0.00510353,
        0.00532237,
        0.00511289,
        0.00467839,
        0.0045782,
        0.00472874,
        0.00481747,
        0.0046592,
        0.00460301,
        0.00464562,
        0.0047301,
        0.00511194,
        0.0052698,
        0.005265,
        0.00520297,
        0.0053531,
        0.00536959,
        0.00527704,
        0.00511679,
        0.00524481,
        0.00512349,
        0.00520178,
        0.00571553,
        0.00555171,
        0.00524229,
        0.00505884,
        0.00512048,
        0.00528112,
        0.00555594,
        0.00548328,
        0.00502111,
        0.00497599,
        0.00495916,
        0.00530885,
        0.00575644,
        0.00492736,
        0.00452164,
        0.00471115,
        0.00512878,
        0.00472189,
        0.00542649,
        0.00569787,
        0.00541177,
        0.0047308,
        0.00509629,
        0.00519062,
        0.00501112,
        0.00469104,
        0.00496119,
        0.00508195,
        0.00497843,
        0.00462054,
        0.00556505,
        0.00549608,
        0.00509741,
        0.00491738,
        0.00525757,
        0.00509298,
        0.00481677,
        0.00466453,
        0.00471776,
        0.00491383,
        0.00525064,
        0.0055417,
        0.00478114,
        0.00480387,
        0.00473196,
        0.00448528,
        0.00474936,
        0.00471487,
        0.00480338,
        0.00504743,
        0.00530232,
        0.00484044,
        0.0046903,
        0.00476163,
        0.00462069,
        0.00518278,
        0.00543916,
        0.0053205,
        0.00484597,
        0.00436504,
        0.00438105,
        0.00467362,
        0.00499593,
        0.00503732,
        0.00523816,
        0.00531232,
        0.00508618,
        0.00535795,
        0.00507603,
        0.00501384,
        0.00541184,
        0.0050476,
        0.00511924,
        0.00524007,
        0.00529724,
        0.00543773,
        0.00488871,
        0.00489204,
        0.00547836,
        0.00564815,
        0.00564074,
        0.00552437,
        0.00558019,
        0.00641074,
        0.00618023,
        0.00597402,
        0.00596125,
        0.00624222,
        0.00561071,
        0.00573127,
        0.00590965,
        0.00533628,
        0.00542182,
        0.00563655,
        0.00577791,
        0.00569253,
        0.00559068,
        0.00514696,
        0.00500976,
        0.00540349,
        0.00516462,
        0.00498801,
        0.00486284,
        0.00481843,
        0.00503481,
        0.00510499,
        0.00498338,
        0.00491172,
        0.00569775,
        0.00541938,
        0.00520206,
        0.00514617,
        0.00505528,
        0.00496554,
        0.00483467,
        0.00463241,
        0.00432108,
        0.00480142,
        0.0049856,
        0.00492724,
        0.00474205,
        0.00511169,
        0.00513684,
        0.00503848,
        0.00499978,
        0.00523643,
        0.00526658,
        0.00506194,
        0.00471353,
        0.00497098,
        0.0049449,
        0.00496878,
        0.00512747,
        0.00530945,
        0.00535971,
        0.00524273,
        0.00501234,
        0.00482723,
        0.00484634,
        0.00489146,
        0.00500218,
        0.00529115,
        0.00524941,
        0.00521709,
        0.00517479,
        0.00506814,
        0.00487995,
        0.00505318,
        0.00521291,
        0.00504538,
        0.00508627,
        0.0051215,
        0.0050395,
        0.00482593,
        0.0049601,
        0.00526143,
        0.00536181,
        0.00515732,
        0.00488856,
        0.00505376,
        0.00525037,
        0.00530798,
        0.00502107,
        0.00494397,
        0.0050013,
        0.00507613,
        0.00495339,
        0.00532355,
        0.00552162,
        0.00552938,
        0.00539734,
        0.00551048,
        0.00528381,
        0.00524291,
        0.0058113,
        0.00564137,
        0.00569434,
        0.00568548,
        0.00546877,
        0.00523791,
        0.00549961,
        0.00568192,
        0.00562902,
        0.00565877,
        0.00569223,
        0.00577569,
        0.00590581,
        0.00603474,
        0.00602464,
        0.00613233,
        0.00634994,
        0.00660744,
        0.00640004,
        0.00634629,
        0.00638449,
        0.00639661,
        0.00595238,
        0.00588327,
        0.00585828,
        0.00561905,
        0.00517587,
        0.00557704,
        0.00580592,
        0.00541119,
        0.00494977,
        0.00503827,
        0.00503868,
        0.00488243,
        0.00513198,
        0.00475939,
        0.0047543,
        0.00516436,
        0.00559092,
        0.00536914,
        0.00519018,
        0.00509648,
        0.00504083,
        0.00522468,
        0.00529319,
        0.00527867,
        0.00522079,
        0.00507621,
        0.00548561,
        0.00574076,
        0.00545319,
        0.00521112,
        0.00544989,
        0.00552387,
        0.00524383,
        0.00498926,
        0.00544329,
        0.0056817,
        0.00552607,
        0.00519526,
        0.0051717,
        0.00499314,
        0.00488821,
        0.00541919,
        0.00587712,
        0.00556622,
        0.00520673,
        0.00571343,
        0.00507926,
        0.00524623,
        0.00551727,
        0.00538919,
        0.00525415,
        0.00555329,
        0.00574449,
        0.00563633,
        0.00573266,
        0.00606482,
        0.00603014,
        0.00569096,
        0.00581314,
        0.0056521,
        0.00594355,
        0.00642454,
        0.00635302,
        0.00583212,
        0.00549378,
        0.00560424,
        0.00642786,
        0.00680746,
        0.00640256,
        0.00597832,
        0.00607151,
        0.00574261,
        0.00598714,
        0.00631456,
        0.00655391,
        0.00719884,
        0.00783946,
        0.00787033,
        0.00734146,
        0.00697099,
        0.00646778,
        0.0061019,
        0.00584069,
        0.00553063,
        0.00617423,
        0.00640577,
        0.00627899,
        0.00600803,
        0.006259,
        0.00609495,
        0.00583631,
        0.00576327,
        0.0061722,
        0.00632249,
        0.00628463,
        0.00614524,
        0.00626329,
        0.0064883,
        0.00664135,
        0.00658444,
        0.00606173,
        0.00611757,
        0.00667662,
        0.00741041,
        0.00767462,
        0.00717576,
        0.00695699,
        0.00690282,
        0.00682269,
        0.00728438,
        0.00753887,
        0.00744246,
        0.0069855,
        0.00704804,
        0.00704055,
        0.00747884,
        0.00821754,
        0.00751414,
        0.00677982,
        0.00673918,
        0.00730281,
        0.00783882,
        0.00831525,
        0.00814671,
        0.00784328,
        0.00837072,
        0.00858532,
        0.00874575,
        0.00892251,
        0.00921643,
        0.0104886,
        0.0103567,
        0.00991833,
        0.0098669,
        0.0107855,
        0.0119408,
        0.0118626,
        0.0108763,
        0.0122765,
        0.0132923,
        0.0142705,
        0.0147067,
        0.0134414,
        0.0172279,
        0.0196518,
        0.0216302,
        0.0246946,
        null,
        0.022381,
        0.0209084,
        0.018879,
        0.0191501,
        0.0180749,
        0.0165933,
        0.0159444,
        0.0163035,
        0.0153386,
        0.0141822,
        0.013682,
        0.0148263,
        0.0138017,
        0.0135841,
        0.014434,
        0.0135465,
        0.0152861,
        0.015335,
        0.0140751,
        0.0137372,
        0.0142725,
        0.0153479,
        0.0160524,
        0.0154523,
        0.0156001,
        0.0160107,
        0.016771,
        0.0176199,
        0.0159651,
        0.0180753,
        0.0207221,
        0.0223766,
        0.0217098,
        0.0231638,
        null,
        0.0241111,
        0.0208928,
        0.0182464,
        0.016444,
        0.0154432,
        0.0144584,
        0.0142799,
        0.0147647,
        0.0148175,
        0.0122296,
        0.0130361,
        0.0130744,
        0.0124413,
        0.0116375,
        0.011876,
        0.011651,
        0.0111916,
        0.0107704,
        0.0111474,
        0.0108759,
        0.0102819,
        0.00983928,
        0.0107686,
        0.0106387,
        0.0102775,
        0.00986791,
        0.00949621,
        0.00897148,
        0.0085282,
        0.00837284,
        0.0086677,
        0.0092837,
        0.00918318,
        0.00917483,
        null,
        0.00933638,
        0.00815591,
        0.00766273,
        0.0107465,
        0.0107702,
        0.0104711,
        0.0102989,
        0.0106998,
        0.010881,
        0.0111269,
        0.0111603,
        0.0108617,
        0.010373,
        0.0113046,
        0.0117529,
        0.0117958,
        0.0131167,
        0.0118259,
        0.0117813,
        0.0127275,
        0.0138188,
        0.014272,
        0.0145661,
        0.0144935,
        0.014078,
        0.0146229,
        0.0146638,
        0.0146997,
        0.0148769,
        0.015128,
        0.017274,
        0.019108,
        0.0194363,
        0.0168843,
        0.0199672,
        0.0230632,
        0.0247361,
        0.0241079,
        null,
        0.0224068,
        0.0229453,
        0.0219566,
        0.0208747,
        0.021152,
        0.0179761,
        0.0173983,
        0.0171882,
        0.0163032,
        0.0151858,
        0.0151056,
        0.0150246,
        0.0146612,
        0.013931,
        0.0131777,
        0.0134704,
        0.0133295,
        0.0115616,
        0.012255,
        0.0127905,
        0.0127714,
        0.0121785,
        0.0116838,
        0.010797,
        0.00968879,
        0.00918451,
        0.0106438,
        0.0102404,
        0.00990591,
        0.0100746,
        0.0107878,
        0.00942621,
        0.00888777,
        0.00923747,
        0.00993681,
        0.00916207,
        0.00975124,
        0.00962995,
        0.00890295,
        0.00820836,
        null,
        0.00508523,
        0.00541329,
        0.00480867,
        0.00416824,
        0.00432647,
        0.0045375,
        0.00433716,
        0.00416403,
        0.00418329,
        0.0044548,
        0.00451441,
        0.00453368,
        0.00443668,
        0.00418138,
        0.00439179,
        0.00435632,
        0.00433293,
        0.00428133,
        0.00369214,
        0.00390124,
        0.00418782,
        0.00435285,
        0.00426252,
        0.0041167,
        0.00404355,
        0.00410379,
        0.00425734,
        0.00425222,
        0.00459612,
        0.00469642,
        0.00456492,
        0.00436038,
        0.00417533,
        0.00459098,
        0.00483467,
        0.00456023,
        0.00413206,
        0.00423586,
        0.00423023,
        0.00407466,
        0.00388512,
        0.00364846,
        0.00363352,
        0.00386574,
        0.00429042,
        0.00461706,
        0.00477864,
        0.00454492,
        0.00416871,
        0.00419038,
        0.00421214,
        0.00442177,
        0.00447369,
        0.00421788,
        0.00410917,
        0.00427467,
        0.0042388,
        0.00397951,
        0.00367615,
        0.00378556,
        0.00394116,
        0.00406115,
        0.00414204,
        0.00449184,
        0.00442393,
        0.00427687,
        0.00421435,
        0.00437712,
        0.00429041,
        0.00418735,
        0.00403769,
        0.00385307,
        0.0039474,
        0.00431622,
        0.00442233,
        0.00419994,
        0.00382869,
        0.00447637,
        0.00477941,
        0.00500025,
        0.00522655,
        0.00442566,
        0.00447393,
        0.00446128,
        0.00430008,
        0.00433413,
        0.00465169,
        0.00477615,
        0.00458088,
        0.00412196,
        0.00440655,
        0.00427021,
        0.00412973,
        0.00412015,
        0.00426694,
        0.00421755,
        0.00416259,
        0.00430296,
        0.00466036,
        0.0043703,
        0.00440124,
        0.00442876,
        0.00442722,
        0.00452399,
        0.00456018,
        0.00463123,
        0.00451769,
        0.00415219,
        0.00452456,
        0.0046098,
        0.00458597,
        0.00451976,
        0.00444057,
        0.00454054,
        0.00476632,
        0.00484042,
        0.00458925,
        0.00433807,
        0.00423863,
        0.00439459,
        0.00470351,
        0.00489946,
        0.00448111,
        0.00463338,
        0.00491941,
        0.00497632,
        0.00486188,
        0.00511654,
        0.00500754,
        0.00457985,
        0.00427452,
        0.00438204,
        0.00442088,
        0.00451908,
        0.00473086,
        0.00479698,
        0.00465014,
        0.0048672,
        0.0052452,
        0.00519603,
        0.00501188,
        0.00503783,
        0.00514081,
        0.00520009,
        0.00508545,
        0.00490964,
        0.00475667,
        0.00470794,
        0.00485887,
        0.00435849,
        0.00420267,
        0.00438989,
        0.00474821,
        0.00451501,
        0.00462328,
        0.00453507,
        0.0044432,
        0.00478982,
        0.00507524,
        0.00507213,
        0.00510218,
        0.00523824,
        0.00508317,
        0.00495357,
        0.00512051,
        0.00522905,
        0.00485607,
        0.00513296,
        0.00469751,
        0.00440165,
        0.00450425,
        0.00455338,
        0.00450616,
        0.00476048,
        0.00496633,
        0.00469556,
        0.00439977,
        0.00429662,
        0.00418183,
        0.00408949,
        0.00439341,
        0.00433452,
        0.00424147,
        0.0040917,
        0.00387999,
        0.00396929,
        0.00413442,
        0.00415216,
        0.00409072,
        0.00428469,
        0.00426534,
        0.00424166,
        0.0042588,
        0.00434097,
        0.00446483,
        0.00425931,
        0.0041252,
        0.00405081,
        0.00382521,
        0.00419534,
        0.0041642,
        0.00413636,
        0.00435829,
        0.00449801,
        0.00469216,
        0.00491683,
        0.00510728,
        0.00517244,
        0.00492258,
        0.00474027,
        0.00475167,
        0.00486377,
        0.0044069,
        0.00389556,
        0.00385031,
        0.00416294,
        0.00451571,
        0.00416303,
        0.00425275,
        0.00404983,
        0.00358131,
        0.00394883,
        0.00429472,
        0.00422159,
        0.00419584,
        0.00469221,
        0.00459576,
        0.00418347,
        0.00405158,
        0.00419215,
        0.00409242,
        0.00397102,
        0.00420973,
        0.0045028,
        0.00456044,
        0.00436788,
        0.00446407,
        0.00449957,
        0.00449167,
        0.00464243,
        0.0047358,
        0.0045917,
        0.00442634,
        0.00437493,
        0.00441923,
        0.00459253,
        0.004496,
        0.00432653,
        0.00449248,
        0.00486108,
        0.00443859,
        0.00422707,
        0.0045228,
        0.00465288,
        0.00487851,
        0.00490349,
        0.00482278,
        0.0047726,
        0.00470276,
        0.00496628,
        0.00498241,
        0.0047136,
        0.00462574,
        0.00481089,
        0.00501944,
        0.00493149,
        0.00445796,
        0.00467293,
        0.00496414,
        0.00543536,
        0.00586216,
        0.00581759,
        0.00524065,
        0.00532241,
        0.00537699,
        0.00510801,
        0.00500346,
        0.00519167,
        0.00531693,
        0.0053053,
        0.00515568,
        0.00508206,
        0.00541725,
        0.0054893,
        0.00505463,
        0.00422576,
        0.00434911,
        0.00472847,
        0.00511317,
        0.00528514,
        0.00495341,
        0.00489539,
        0.00487966,
        0.00500814,
        0.00557291,
        0.00541839,
        0.00518308,
        0.00489981,
        0.00464395,
        0.00466823,
        0.00458996,
        0.00458681,
        0.00481,
        0.0053652,
        0.00502007,
        0.00472173,
        0.00466194,
        0.00487757,
        0.00520575,
        0.0050522,
        0.00480706,
        0.00459738,
        0.00450103,
        0.00438228,
        0.00443806,
        0.00462008,
        0.00483128,
        0.00491494,
        0.00484097,
        0.00501575,
        0.00490716,
        0.00435105,
        0.00425573,
        0.00464933,
        0.00485059,
        0.00485829,
        0.00482067,
        0.00442809,
        0.0046351,
        0.00466153,
        0.00443315,
        0.0046185,
        0.00475312,
        0.00450859,
        0.00424232,
        0.00426058,
        0.00450289,
        0.00462187,
        0.00452713,
        0.00441449,
        0.00465116,
        0.00510404,
        0.00494555,
        0.00463963,
        0.00454171,
        0.00494464,
        0.00460633,
        0.00459501,
        0.0048151,
        0.00499856,
        0.00523827,
        0.00499452,
        0.00484105,
        0.00488649,
        0.0049237,
        0.00512014,
        0.00546819,
        0.00547932,
        0.00494852,
        0.00457135,
        0.00465469,
        0.00518846,
        0.00561177,
        0.00525014,
        0.00556592,
        0.00554094,
        0.00568955,
        0.00595548,
        0.00555196,
        0.00594835,
        0.00618514,
        0.00640193,
        0.00681895,
        0.00772711,
        null,
        0.00817771,
        0.00836683,
        0.00883007,
        0.0102667,
        0.0106493,
        0.0123079,
        0.0133469,
        0.0132848,
        0.0137798,
        0.0175371,
        0.0155965,
        0.013732,
        0.0124099,
        0.0120899,
        0.0107522,
        0.00922598,
        0.00881009,
        0.00902756,
        0.0078835,
        0.00776262,
        0.00747388,
        0.00729063,
        0.00740635,
        0.00779883,
        0.00758376,
        0.00723039,
        0.00684074,
        0.00646495,
        0.00653542,
        0.00638379,
        0.00601837,
        0.00573933,
        0.00621625,
        0.00658191,
        0.00630165,
        0.00631346,
        0.00697905,
        0.00678838,
        0.00614683,
        0.00583829,
        0.00593544,
        0.00628362,
        0.00612025,
        0.00571963,
        0.00582615,
        0.00616155,
        0.00549145,
        0.00552943,
        0.00547143,
        0.00542702,
        0.005496,
        0.00567948,
        0.00539178,
        0.00535767,
        0.00548365,
        0.00548242,
        0.00501401,
        0.00501354,
        0.00513516,
        0.00537443,
        0.0059697,
        0.00583272,
        0.00527309,
        0.00492377,
        0.00506078,
        0.00519013,
        0.00482117,
        0.0048855,
        0.00507618,
        0.00495676,
        0.00506143,
        0.00486882,
        0.00488424,
        0.00507642,
        0.00508268,
        0.00512709,
        0.00491303,
        0.00475615,
        0.00477732,
        0.00475137,
        0.00458908,
        0.0047325,
        0.00478846,
        0.00445049,
        0.00493715,
        0.00485978,
        0.00470551,
        0.00456028,
        0.00436887,
        0.00449603,
        0.00462452,
        0.00471958,
        0.00473217,
        0.00457044,
        0.00451272,
        0.00430493,
        0.00422157,
        0.00444299,
        0.00456592,
        0.00440226,
        0.00466011,
        0.00485405,
        0.00418559,
        0.00407486,
        0.00416773,
        0.00454394,
        0.00487638,
        0.00435736,
        0.00409916,
        0.00400783,
        0.00409934,
        0.00429924,
        0.00419009,
        0.00457112,
        0.00459243,
        0.00453402,
        0.00478519,
        0.00435619,
        0.00453628,
        0.00477162,
        0.00495797,
        0.00523953,
        0.00484804,
        0.00471833,
        0.00464324,
        0.0045367,
        0.00452211,
        0.00448828,
        0.00451397,
        0.0046323,
        0.00481443,
        0.00476184,
        0.0049615,
        0.00513279,
        0.00516872,
        0.005033,
        0.00491236,
        0.00521454,
        0.00527509,
        0.00505723,
        0.00519353,
        0.00536159,
        0.00558186,
        0.00601925,
        0.00656401,
        0.00626797,
        0.00588757,
        0.00613186,
        0.00652818,
        0.00653215,
        0.00693566,
        0.0072497,
        0.00719706,
        0.00693202,
        0.00684478,
        0.00671034,
        0.00645331,
        0.00642961,
        0.00673681,
        0.00718433,
        0.00727913,
        0.00731469,
        0.00765509,
        0.00843325,
        0.00888333,
        0.0096733,
        0.010084,
        0.0103744,
        0.0109746,
        null,
        0.0116082,
        0.011664,
        0.0115096,
        0.0119303,
        0.0141588,
        0.0157318,
        0.0199771,
        0.0193246,
        0.0157959,
        0.0142499,
        0.0129683,
        0.0114577,
        0.0110087,
        0.0109376,
        0.0104894,
        0.0096731,
        0.00877415,
        0.0088088,
        0.00786125,
        0.00752889,
        0.00751484,
        0.00720162,
        0.00709355,
        0.00653903,
        0.00657501,
        0.00701792,
        0.00710968,
        0.00708393,
        0.00654776,
        0.00626693,
        0.00633499,
        0.00612503,
        0.00564528,
        0.00557868,
        0.00569597,
        0.0057102,
        0.00527379,
        0.00541766,
        0.00536228,
        0.00528994,
        0.00538748,
        0.00506482,
        0.00513444,
        0.00541837,
        0.00553092,
        0.00510729,
        0.00540821,
        0.00522659,
        0.00547947,
        0.00584372,
        0.00494211,
        0.0044846,
        0.004623,
        0.00488882,
        0.00505677,
        0.00523298,
        0.00472292,
        0.00446455,
        0.00440801,
        0.004452,
        0.00465385,
        0.00449145,
        0.00431993,
        0.00430664,
        0.00448619,
        0.00418695,
        0.00411316,
        0.00439545,
        0.00462908,
        0.00420616,
        0.00458105,
        0.00419186,
        0.004073,
        0.00444791,
        0.00492108,
        0.00438785,
        0.00425462,
        0.00415329,
        0.00393758,
        0.00397236,
        0.00425613,
        0.00461143,
        0.00466357,
        0.00429218,
        0.00423713,
        0.00416594,
        0.00414786,
        0.00414791,
        0.00411972,
        0.00408826,
        0.00408512,
        0.0042094,
        0.00451981,
        0.00500833,
        0.00464796,
        0.00469319,
        0.00472925,
        0.00469374,
        0.00478612,
        0.00512644,
        0.00500409,
        0.00467193,
        0.00443848,
        0.00474113,
        0.00467129,
        0.00471381,
        0.00472867,
        0.00460844,
        0.00450275,
        0.00451136,
        0.0045896,
        0.00460732,
        0.00452228,
        0.00491781,
        0.00487571,
        0.00460965,
        0.00450698,
        0.00489807,
        0.00447304,
        0.00488797,
        0.00517837,
        0.00512546,
        0.00490732,
        0.00492506,
        0.00478587,
        0.00474617,
        0.00480572,
        0.00471339,
        0.00465425,
        0.00441156,
        0.0042658,
        0.00443877,
        0.00509666,
        0.00461595,
        0.00464599,
        0.00495372,
        0.00512559,
        0.00457121,
        0.00466304,
        0.00473614,
        0.00457648,
        0.00419564,
        0.00441202,
        0.00448943,
        0.00467218,
        0.00473586,
        0.00444161,
        0.00499905,
        0.00512581,
        0.00513373,
        0.00494206,
        0.00432332,
        0.0044171,
        0.00444264,
        0.00460063,
        0.0048137,
        0.00474758,
        0.00459992,
        0.00497854,
        0.00496137,
        0.00449087,
        0.00488254,
        0.00455533,
        0.00469707,
        0.00477124,
        0.00453434,
        0.00479545,
        0.00470535,
        0.00461338,
        0.00451384,
        0.00434933,
        0.00403483,
        0.00450151,
        0.00460316,
        0.00453229,
        0.00471979,
        0.00445914,
        0.00421342,
        0.00428752,
        0.00448044,
        0.00436788,
        0.00433879,
        0.00460837,
        0.00470007,
        0.00451258,
        0.00418597,
        0.00502403,
        0.00481502,
        0.00434777,
        0.00408069,
        0.00421407,
        0.00449875,
        0.00438465,
        0.0040796,
        0.00390513,
        0.00442426,
        0.00450139,
        0.00437064,
        0.00436864,
        0.00453311,
        0.00416777,
        0.0039929,
        0.00399448,
        0.00400685,
        0.00391495,
        0.00386699,
        0.00435084,
        0.00427553,
        0.00397744,
        0.00399675,
        0.00394521,
        0.00417885,
        0.00426064,
        0.00416494,
        0.00401199,
        0.00414803,
        0.00432714,
        0.00463537,
        0.00469846,
        0.00395013,
        0.00362898,
        0.00381865,
        0.00427708,
        0.00465796,
        0.00452274,
        0.00418228,
        0.00416874,
        0.00420056,
        0.00435494,
        0.00512586,
        0.00487917,
        0.00467627,
        0.00495051,
        0.00558314,
        0.00569827,
        0.0068134,
        0.00699829,
        0.00687345,
        0.00697736,
        0.00735369,
        0.0065359,
        0.00601662,
        0.00607673,
        0.00649832,
        0.00582281,
        0.00583587,
        0.00527229,
        0.0047093,
        0.00475891,
        0.00526693,
        0.00480139,
        0.00485131,
        0.00495326,
        0.00446751,
        0.00456857,
        0.00465161,
        0.00477603,
        0.00479219,
        0.00452469,
        0.00415394,
        0.00427646,
        0.00435155,
        0.00437352,
        0.00448612,
        0.00414422,
        0.0043477,
        0.00453672,
        0.00452695,
        0.00437365,
        0.00448449,
        0.00447639,
        0.00451134,
        0.00468141,
        0.00500151,
        0.00452461,
        0.00416595,
        0.00433071,
        0.0048031,
        0.00468878,
        0.00437337,
        0.0045033,
        0.00470782,
        0.00476674,
        0.00462466,
        0.00431977,
        0.00424033,
        0.00433024,
        0.00445354,
        0.00433277,
        0.0045171,
        0.00478832,
        0.00473712,
        0.00439257,
        0.00471902,
        0.00486403,
        0.00496599,
        0.00489294,
        0.00468825,
        0.00493513,
        0.0046125,
        0.00453337,
        0.00469847,
        0.00495632,
        0.00499623,
        0.00476278,
        0.00480944,
        0.00486336,
        0.00466714,
        0.00449859,
        0.0046691,
        0.00462524,
        0.00444354,
        0.00441554,
        0.00545339,
        0.004816,
        0.00470645,
        0.0047714,
        0.00429428,
        0.00429781,
        0.0042054,
        0.00453815,
        0.00476855,
        0.0042811,
        0.00477237,
        0.00457138,
        0.00444303,
        0.00446464,
        0.00446477,
        0.00433652,
        0.00485404,
        0.00484614,
        0.00439093,
        0.00406214,
        0.00412932,
        0.00395315,
        0.00406488,
        0.00439161,
        0.00455841,
        0.00440537,
        0.00443909,
        0.00465817,
        0.00493969,
        0.00505453,
        0.0044882,
        0.00432873,
        0.0040689,
        0.00388226,
        0.00435405,
        0.00438957,
        0.00445902,
        0.00410471,
        0.00366416,
        0.00405236,
        0.00438045,
        0.00407651,
        0.00384656,
        0.00396743,
        0.00436721,
        0.00355748,
        0.00368433,
        0.00408386,
        0.00428573,
        0.00400653,
        0.0040444,
        0.00395378,
        0.0039947,
        0.00413417,
        0.0040294,
        0.00394494,
        0.00424074,
        0.00430404,
        0.00402606,
        0.00392234,
        0.00359299,
        0.0037317,
        0.00363732,
        0.0032916,
        0.00353166,
        0.00388582,
        0.00398751,
        0.00393026,
        0.00390324,
        0.00420215,
        0.0040762,
        0.00405872,
        0.0040922,
        0.00408655,
        0.00392997,
        0.00374576,
        0.00400728,
        0.00418271,
        0.00410946,
        0.00419953,
        0.00436531,
        0.00428537,
        0.00438499,
        0.00456264,
        0.00385749,
        0.00390972,
        0.00383356,
        0.00385952,
        0.00408848,
        0.00437566,
        0.00434256,
        0.00417918,
        0.00415092,
        0.00436549,
        0.00469989,
        0.00434012,
        0.00438005,
        0.00452236,
        0.00457642,
        0.0046095,
        0.00440746,
        0.00432564,
        0.00437911,
        0.00454334,
        0.00475418,
        0.00434616,
        0.00443951,
        0.00450941,
        0.00433652,
        0.00424863,
        0.00457851,
        0.00451052,
        0.00461058,
        null,
        0.00495154,
        0.00470509,
        0.0043781,
        0.00466088,
        0.00472098,
        0.00438876,
        0.00458555,
        0.00478135,
        0.00472672,
        0.00485919,
        0.00450114,
        0.00489123,
        0.00477022,
        0.00471876,
        0.00481315,
        0.00469233,
        0.00433942,
        0.00429578,
        0.00441582,
        0.00456357,
        0.00460286,
        0.00454564,
        0.00468479,
        0.00469951,
        0.00447195,
        0.00407309,
        0.00431675,
        0.0042006,
        0.00424081,
        0.0044444,
        0.00453368,
        0.00428097,
        0.00426926,
        0.00423002,
        0.00424282,
        0.00449097,
        0.00439591,
        0.00461817,
        0.00468767,
        0.00451265,
        0.00419429,
        0.00405802,
        0.00409819,
        0.00420596,
        0.00409657,
        null,
        0.00360275,
        0.00394761,
        0.00426905,
        0.00425014,
        0.00412405,
        0.00417446,
        0.00392422,
        0.00441657,
        0.00431865,
        0.00412591,
        0.00444754,
        0.00399165,
        0.00463205,
        0.00464709,
        0.00397016,
        0.00430081,
        0.00432879,
        0.00413155,
        0.00408802,
        0.00420368,
        0.00394632,
        0.00413484,
        0.00409604,
        0.00401753,
        0.00401992,
        0.00413122,
        0.0044235,
        0.00431135,
        0.00404098,
        0.00393098,
        0.00433044,
        0.004116,
        0.00436177,
        0.00449304,
        0.00431663,
        0.00393447,
        0.00428832,
        0.00471579,
        0.00473848,
        0.0045913,
        0.00476358,
        0.00480668,
        0.00448382,
        0.00440748,
        0.00445835,
        0.0043294,
        0.00428561,
        0.0044169,
        0.00437982,
        0.00434934,
        0.00449598,
        0.00432693,
        0.00427487,
        0.00420453,
        0.00418068,
        0.00422811,
        0.00409733,
        0.00396173,
        0.00433127,
        0.00464978,
        0.00458142,
        0.00472076,
        0.00434985,
        0.00419515,
        0.00433475,
        0.00459435,
        0.00449208,
        0.00463341,
        0.00444017,
        0.00444947,
        0.00471727,
        0.00461836,
        0.00483134,
        0.00438469,
        0.00415198,
        0.00439499,
        0.00474968,
        0.00485491,
        0.00480896,
        0.00469665,
        0.00460262,
        0.00458919,
        0.00442532,
        0.00456548,
        0.00452242,
        0.00441796,
        0.00457538,
        0.00445214,
        0.00451434,
        0.00464673,
        0.00452492,
        0.00394405,
        0.00364884,
        0.0044331,
        0.00475513,
        0.00482203,
        0.00498175,
        0.00451183,
        0.00492103,
        0.00473033,
        0.00444856,
        0.00453613,
        0.00447349,
        0.00470532,
        0.00444735,
        0.0041267,
        0.00408454,
        0.00429223,
        0.00399776
    ]
}