GET /api/crires_4660nm_4978nm_vstar_t_cha/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.660383476069907,
        4.6604035585073165,
        4.660423640944727,
        4.660443723382136,
        4.660463805819547,
        4.660483888256958,
        4.660503970694367,
        4.660524053131778,
        4.660544135569187,
        4.660564218006597,
        4.6605843004440075,
        4.6606043828814165,
        4.6606244653188265,
        4.660644547756236,
        4.660664630193647,
        4.660684712631058,
        4.660704795068467,
        4.660724877505877,
        4.660744959943287,
        4.660765042380697,
        4.660785124818107,
        4.660805207255517,
        4.6608252896929265,
        4.660845372130336,
        4.660865454567747,
        4.660885537005157,
        4.660905619442567,
        4.660925701879977,
        4.660945784317386,
        4.660965866754797,
        4.660985949192207,
        4.661006031629616,
        4.661026114067027,
        4.6610461965044365,
        4.661066278941846,
        4.661086361379257,
        4.661106443816666,
        4.661126526254077,
        4.661146608691486,
        4.661166691128896,
        4.661186773566307,
        4.661206856003716,
        4.661226938441126,
        4.661247020878537,
        4.6612671033159465,
        4.661287185753357,
        4.661467927690047,
        4.6614880101274565,
        4.661508092564866,
        4.661528175002276,
        4.661548257439685,
        4.661568339877096,
        4.661588422314506,
        4.661608504751915,
        4.661628587189326,
        4.661648669626736,
        4.661668752064146,
        4.661688834501557,
        4.661708916938966,
        4.661728999376376,
        4.6617490818137854,
        4.661769164251195,
        4.661789246688606,
        4.661809329126015,
        4.661829411563426,
        4.661849494000837,
        4.661869576438246,
        4.661889658875657,
        4.661909741313066,
        4.661929823750476,
        4.661949906187886,
        4.661969988625295,
        4.661990071062705,
        4.662010153500115,
        4.662030235937526,
        4.662050318374936,
        4.662070400812346,
        4.662090483249756,
        4.662110565687166,
        4.662130648124576,
        4.662150730561986,
        4.6621708129993955,
        4.662190895436805,
        4.6622109778742145,
        4.662231060311626,
        4.662251142749036,
        4.662271225186445,
        4.662291307623856,
        4.662311390061265,
        4.662331472498676,
        4.662351554936086,
        4.662371637373495,
        4.6623917198109055,
        4.662411802248315,
        4.662431884685725,
        4.662451967123136,
        4.662472049560545,
        4.662492131997956,
        4.662512214435365,
        4.662532296872775,
        4.662552379310186,
        4.662572461747595,
        4.662592544185005,
        4.6626126266224155,
        4.662632709059825,
        4.662652791497235,
        4.662672873934645,
        4.662692956372055,
        4.662713038809465,
        4.662733121246875,
        4.662753203684285,
        4.662773286121695,
        4.662793368559105,
        4.662813450996515,
        4.6628335334339255,
        4.662853615871335,
        4.662873698308744,
        4.662893780746155,
        4.662913863183564,
        4.662933945620975,
        4.662954028058385,
        4.662974110495794,
        4.662994192933206,
        4.663014275370615,
        4.663034357808025,
        4.6630544402454355,
        4.6630745226828445,
        4.663094605120255,
        4.663114687557664,
        4.663134769995074,
        4.663154852432485,
        4.663174934869894,
        4.663195017307305,
        4.663215099744715,
        4.663235182182125,
        4.663255264619535,
        4.663275347056945,
        4.6632954294943545,
        4.663315511931764,
        4.663335594369174,
        4.663355676806584,
        4.663375759243994,
        4.663395841681405,
        4.663415924118814,
        4.663436006556225,
        4.663456088993635,
        4.663476171431044,
        4.663496253868455,
        4.663516336305864,
        4.663536418743274,
        4.663556501180684,
        4.663576583618094,
        4.663596666055505,
        4.663616748492915,
        4.663636830930324,
        4.663656913367735,
        4.663676995805144,
        4.663697078242555,
        4.663717160679965,
        4.663737243117374,
        4.663757325554784,
        4.663777407992194,
        4.663797490429604,
        4.663817572867015,
        4.663837655304424,
        4.663857737741834,
        4.663877820179244,
        4.663897902616654,
        4.663917985054065,
        4.663938067491474,
        4.663958149928884,
        4.663978232366294,
        4.663998314803704,
        4.664018397241114,
        4.664038479678524,
        4.664058562115934,
        4.664078644553344,
        4.664098726990754,
        4.664118809428164,
        4.664138891865574,
        4.664158974302984,
        4.664179056740394,
        4.664199139177804,
        4.664219221615214,
        4.664239304052623,
        4.664259386490034,
        4.664279468927443,
        4.664299551364854,
        4.664319633802264,
        4.664339716239673,
        4.664359798677085,
        4.664379881114494,
        4.664399963551904,
        4.664420045989314,
        4.664440128426723,
        4.664460210864133,
        4.664480293301543,
        4.664500375738953,
        4.664520458176364,
        4.664540540613773,
        4.664560623051184,
        4.664580705488594,
        4.664600787926004,
        4.6646208703634136,
        4.6646409528008235,
        4.664661035238233,
        4.664681117675643,
        4.664701200113053,
        4.664721282550463,
        4.664741364987873,
        4.664761447425284,
        4.664781529862693,
        4.664801612300104,
        4.664821694737514,
        4.664841777174923,
        4.6648618596123335,
        4.6648819420497425,
        4.664902024487153,
        4.664922106924563,
        4.664942189361973,
        4.664962271799384,
        4.664982354236793,
        4.665002436674203,
        4.665022519111614,
        4.665042601549023,
        4.665062683986433,
        4.665082766423843,
        4.6651028488612525,
        4.665122931298663,
        4.665143013736073,
        4.665163096173483,
        4.665183178610894,
        4.665203261048303,
        4.665223343485713,
        4.665243425923123,
        4.665263508360533,
        4.6652835907979435,
        4.6653036732353526,
        4.6653237556727625,
        4.665343838110173,
        4.665363920547583,
        4.665384002984993,
        4.665404085422403,
        4.665424167859813,
        4.665444250297222,
        4.665464332734633,
        4.665484415172043,
        4.665504497609453,
        4.665524580046863,
        4.6655446624842725,
        4.665564744921683,
        4.665584827359093,
        4.665604909796502,
        4.665624992233913,
        4.665645074671322,
        4.665665157108732,
        4.665685239546143,
        4.665705321983552,
        4.6657254044209635,
        4.6657454868583725,
        4.6657655692957825,
        4.665785651733193,
        4.665805734170602,
        4.665825816608012,
        4.665845899045422,
        4.665865981482832,
        4.665886063920243,
        4.665906146357652,
        4.665926228795063,
        4.665946311232473,
        4.6659663936698825,
        4.6659864761072924,
        4.666006558544702,
        4.666026640982112,
        4.666046723419521,
        4.666066805856932,
        4.666086888294342,
        4.666106970731752,
        4.666127053169163,
        4.666147135606572,
        4.666167218043983,
        4.6661873004813925,
        4.6662073829188015,
        4.666227465356212,
        4.666247547793621,
        4.666267630231031,
        4.666287712668442,
        4.666307795105852,
        4.666327877543263,
        4.666347959980672,
        4.666368042418082,
        4.666388124855493,
        4.666408207292902,
        4.6664282897303115,
        4.6664483721677215,
        4.666468454605131,
        4.666488537042542,
        4.666508619479952,
        4.666528701917362,
        4.666548784354772,
        4.666568866792182,
        4.666588949229592,
        4.666609031667002,
        4.666629114104412,
        4.666649196541821,
        4.6666692789792314,
        4.666689361416641,
        4.666709443854052,
        4.666729526291462,
        4.666749608728872,
        4.666769691166282,
        4.666789773603692,
        4.666809856041101,
        4.666829938478512,
        4.666850020915922,
        4.666870103353331,
        4.666890185790742,
        4.666910268228151,
        4.666930350665562,
        4.666950433102972,
        4.666970515540381,
        4.666990597977792,
        4.667010680415201,
        4.667030762852611,
        4.667050845290022,
        4.667070927727431,
        4.667091010164842,
        4.667111092602251,
        4.667131175039661,
        4.667151257477072,
        4.667171339914481,
        4.667191422351891,
        4.667211504789301,
        4.667231587226711,
        4.667251669664121,
        4.667271752101531,
        4.667291834538942,
        4.6673119169763515,
        4.667331999413761,
        4.667352081851171,
        4.667372164288581,
        4.667392246725991,
        4.6674123291634,
        4.667432411600811,
        4.667452494038221,
        4.667472576475632,
        4.667492658913042,
        4.667512741350451,
        4.6675328237878615,
        4.667552906225271,
        4.6675729886626804,
        4.667593071100091,
        4.6676131535375,
        4.66763323597491,
        4.667653318412321,
        4.667673400849731,
        4.667693483287142,
        4.667713565724551,
        4.667733648161961,
        4.6677537305993715,
        4.6677738130367805,
        4.66779389547419,
        4.6678139779116,
        4.66783406034901,
        4.66785414278642,
        4.667874225223831,
        4.667894307661241,
        4.667914390098651,
        4.667934472536061,
        4.667954554973471,
        4.667974637410881,
        4.6679947198482905,
        4.6680148022856995,
        4.66803488472311,
        4.668054967160521,
        4.668075049597931,
        4.668095132035341,
        4.66811521447275,
        4.668135296910161,
        4.668155379347571,
        4.66817546178498,
        4.668195544222391,
        4.6682156266598,
        4.6682357090972095,
        4.668255791534621,
        4.66827587397203,
        4.668295956409441,
        4.66831603884685,
        4.66833612128426,
        4.668356203721671,
        4.66837628615908,
        4.66839636859649,
        4.6684164510339,
        4.66843653347131,
        4.66845661590872,
        4.66847669834613,
        4.66849678078354,
        4.668516863220951,
        4.66853694565836,
        4.66855702809577,
        4.66857711053318,
        4.66859719297059,
        4.668617275408,
        4.66863735784541,
        4.6686574402828205,
        4.66867752272023,
        4.66869760515764,
        4.66871768759505,
        4.66873777003246,
        4.66875785246987,
        4.668777934907279,
        4.66879801734469,
        4.6688180997821,
        4.66883818221951,
        4.6688582646569206,
        4.66887834709433,
        4.66889842953174,
        4.66891851196915,
        4.668938594406559,
        4.66895867684397,
        4.668978759281379,
        4.668998841718789,
        4.6690189241562,
        4.66903900659361,
        4.66905908903102,
        4.66907917146843,
        4.66909925390584,
        4.66911933634325,
        4.669139418780659,
        4.669159501218069,
        4.669179583655479,
        4.669199666092889,
        4.669219748530299,
        4.66923983096771,
        4.66925991340512,
        4.66927999584253,
        4.66930007827994,
        4.66932016071735,
        4.6693402431547595,
        4.669360325592169,
        4.669380408029578,
        4.669400490466989,
        4.6694205729044,
        4.669440655341809,
        4.66946073777922,
        4.669480820216629,
        4.66950090265404,
        4.66952098509145,
        4.669541067528859,
        4.6695611499662695,
        4.6695812324036785,
        4.669601314841088,
        4.6696213972785,
        4.669641479715909,
        4.669661562153319,
        4.669681644590729,
        4.669701727028139,
        4.66972180946555,
        4.669741891902959,
        4.669761974340369,
        4.669782056777779,
        4.6698021392151885,
        4.669822221652599,
        4.669842304090009,
        4.669862386527419,
        4.669882468964829,
        4.669902551402239,
        4.669922633839649,
        4.669942716277059,
        4.669962798714469,
        4.669982881151878,
        4.6700029635892895,
        4.670023046026699,
        4.670043128464108,
        4.670063210901519,
        4.670083293338929,
        4.670103375776339,
        4.670123458213749,
        4.670143540651158,
        4.670163623088569,
        4.670183705525979,
        4.670203787963389,
        4.6702238704007994,
        4.6702439528382085,
        4.670264035275619,
        4.670284117713029,
        4.670304200150438,
        4.670324282587849,
        4.670344365025258,
        4.670364447462668,
        4.670384529900079,
        4.670404612337489,
        4.670424694774899,
        4.6704447772123086,
        4.6704648596497185,
        4.670484942087129,
        4.670505024524538,
        4.670525106961948,
        4.670545189399358,
        4.670565271836768,
        4.670585354274178,
        4.670605436711589,
        4.670625519148999,
        4.670645601586408,
        4.6706656840238185,
        4.6706857664612285,
        4.670705848898638,
        4.670725931336048,
        4.670746013773457,
        4.670766096210868,
        4.670786178648279,
        4.670806261085688,
        4.670826343523099,
        4.670846425960508,
        4.670866508397919,
        4.6708865908353285,
        4.670906673272738,
        4.670926755710148,
        4.670946838147557,
        4.670966920584967,
        4.670987003022379,
        4.671007085459788,
        4.671027167897198,
        4.671047250334608,
        4.671067332772018,
        4.671087415209429,
        4.671107497646838,
        4.6711275800842476,
        4.6711476625216575,
        4.671167744959067,
        4.671187827396478,
        4.671207909833888,
        4.671227992271298,
        4.671248074708707,
        4.671268157146118,
        4.671288239583528,
        4.671308322020938,
        4.671328404458348,
        4.671348486895757,
        4.671368569333168,
        4.671388651770578,
        4.671408734207987,
        4.671428816645398,
        4.671448899082807,
        4.671468981520218,
        4.671489063957628,
        4.671509146395037,
        4.671529228832448,
        4.671549311269857,
        4.6715693937072675,
        4.671589476144678,
        4.671609558582087,
        4.671629641019497,
        4.671649723456908,
        4.671669805894317,
        4.671689888331728,
        4.671709970769137,
        4.671730053206547,
        4.671750135643958,
        4.671770218081368,
        4.6717903005187775,
        4.6718103829561874,
        4.671830465393597,
        4.671850547831007,
        4.671870630268417,
        4.671890712705827,
        4.671910795143237,
        4.671930877580647,
        4.671950960018058,
        4.671971042455468,
        4.671991124892878,
        4.672011207330287,
        4.672031289767697,
        4.672051372205107,
        4.672071454642517,
        4.672091537079927,
        4.672111619517336,
        4.672131701954747,
        4.672151784392158,
        4.672171866829567,
        4.672191949266978,
        4.672212031704387,
        4.672232114141797,
        4.672252196579207,
        4.6722722790166165,
        4.672292361454027,
        4.672312443891436,
        4.672332526328846,
        4.672352608766258,
        4.672372691203667,
        4.672392773641077,
        4.672412856078487,
        4.6724731033907165,
        4.6724931858281264,
        4.672513268265536,
        4.672533350702947,
        4.672553433140357,
        4.672573515577767,
        4.672593598015177,
        4.672613680452586,
        4.672633762889997,
        4.672653845327407,
        4.672673927764817,
        4.6726940102022265,
        4.6727140926396356,
        4.672734175077047,
        4.672754257514457,
        4.672774339951866,
        4.672794422389277,
        4.672814504826686,
        4.672834587264096,
        4.672854669701507,
        4.672874752138916,
        4.672894834576327,
        4.672914917013736,
        4.672934999451146,
        4.672955081888557,
        4.672975164325966,
        4.672995246763376,
        4.673015329200786,
        4.673035411638196,
        4.673055494075606,
        4.673075576513016,
        4.673095658950426,
        4.673115741387836,
        4.6731358238252465,
        4.673155906262656,
        4.673175988700066,
        4.673196071137476,
        4.673216153574885,
        4.673236236012296,
        4.673256318449706,
        4.673276400887116,
        4.673296483324526,
        4.673316565761937,
        4.673336648199347,
        4.6733567306367565,
        4.6733768130741655,
        4.673396895511576,
        4.673416977948986,
        4.673437060386395,
        4.673457142823806,
        4.673477225261215,
        4.673497307698626,
        4.673517390136037,
        4.673537472573446,
        4.673557555010857,
        4.673577637448266,
        4.6735977198856755,
        4.673617802323086,
        4.673637884760495,
        4.673657967197906,
        4.673678049635315,
        4.673698132072725,
        4.673718214510137,
        4.673738296947546,
        4.673758379384956,
        4.673778461822366,
        4.673798544259776,
        4.6738186266971855,
        4.673838709134595,
        4.673858791572005,
        4.673878874009415,
        4.673898956446826,
        4.673919038884236,
        4.673939121321646,
        4.673959203759056,
        4.673979286196465,
        4.673999368633876,
        4.674019451071286,
        4.674039533508695,
        4.674059615946105,
        4.6740796983835144,
        4.674099780820926,
        4.674119863258336,
        4.674139945695745,
        4.674160028133156,
        4.674180110570565,
        4.674200193007975,
        4.674220275445386,
        4.674240357882795,
        4.6742604403202055,
        4.6742805227576145,
        4.674300605195025,
        4.674320687632436,
        4.674340770069845,
        4.674360852507255,
        4.674380934944665,
        4.674401017382075,
        4.674421099819485,
        4.674621924193585,
        4.674642006630994,
        4.674662089068405,
        4.674682171505815,
        4.674903078317325,
        4.6749231607547355,
        4.6749432431921445,
        4.674963325629554,
        4.674983408066965,
        4.675003490504374,
        4.675023572941784,
        4.675043655379194,
        4.675063737816605,
        4.675083820254016,
        4.675103902691425,
        4.675123985128835,
        4.675144067566245,
        4.6751641500036545,
        4.675184232441064,
        4.675204314878474,
        4.675224397315884,
        4.675244479753293,
        4.675264562190705,
        4.675284644628115,
        4.675304727065525,
        4.675324809502935,
        4.675344891940344,
        4.675364974377755,
        4.6753850568151645,
        4.6754051392525735,
        4.675425221689984,
        4.675445304127393,
        4.675465386564805,
        4.675485469002215,
        4.675505551439624,
        4.675525633877035,
        4.675545716314444,
        4.675565798751854,
        4.6755858811892645,
        4.675605963626674,
        4.6756260460640835,
        4.675646128501493,
        4.675666210938904,
        4.675686293376315,
        4.675706375813724,
        4.675726458251134,
        4.675746540688544,
        4.675766623125954,
        4.675786705563364,
        4.675806788000774,
        4.675826870438184,
        4.6758469528755935,
        4.675867035313004,
        4.675887117750414,
        4.675907200187824,
        4.675927282625234,
        4.675947365062643,
        4.675967447500054,
        4.675987529937464,
        4.676007612374873,
        4.676027694812284,
        4.676047777249694,
        4.676067859687104,
        4.676087942124514,
        4.676108024561923,
        4.676128106999334,
        4.676148189436743,
        4.676168271874153,
        4.676188354311564,
        4.676208436748973,
        4.676228519186383,
        4.676248601623794,
        4.6762686840612036,
        4.676288766498614,
        4.676308848936023,
        4.676328931373433,
        4.676349013810843,
        4.676369096248253,
        4.676389178685663,
        4.676409261123073,
        4.676429343560484,
        4.676449425997894,
        4.676469508435304,
        4.6764895908727135,
        4.6765096733101235,
        4.676529755747533,
        4.676549838184943,
        4.676569920622353,
        4.676590003059763,
        4.676610085497172,
        4.676630167934584,
        4.676650250371994,
        4.676670332809404,
        4.676690415246814,
        4.676710497684223,
        4.6767305801216335,
        4.676750662559043,
        4.676770744996452,
        4.676790827433863,
        4.676810909871272,
        4.676830992308683,
        4.676851074746094,
        4.676871157183503,
        4.676891239620914,
        4.676911322058323,
        4.676931404495733,
        4.676951486933143,
        4.6769715693705525,
        4.676991651807962,
        4.677011734245373,
        4.677031816682783,
        4.677051899120194,
        4.677071981557603,
        4.677092063995013,
        4.677112146432423,
        4.677132228869833,
        4.677152311307243,
        4.6771723937446525,
        4.6771924761820625,
        4.677212558619472,
        4.677232641056883,
        4.677252723494293,
        4.677272805931703,
        4.677292888369113,
        4.677312970806522,
        4.677333053243933,
        4.677353135681343,
        4.677373218118752,
        4.6773933005561625,
        4.6774133829935725,
        4.677433465430982,
        4.677453547868393,
        4.677473630305802,
        4.677493712743213,
        4.677513795180622,
        4.677533877618032,
        4.677553960055443,
        4.677574042492852,
        4.677594124930262,
        4.6776142073676725,
        4.6776342898050824,
        4.677654372242493,
        4.677674454679902,
        4.677694537117312,
        4.677714619554722,
        4.677734701992132,
        4.677754784429542,
        4.677774866866952,
        4.677794949304363,
        4.677815031741772,
        4.6778351141791825,
        4.677855196616592,
        4.677875279054002,
        4.677895361491412,
        4.677915443928821,
        4.677935526366232,
        4.677955608803642,
        4.677975691241051,
        4.677995773678463,
        4.678015856115872,
        4.678035938553282,
        4.6780560209906925,
        4.6780761034281015,
        4.678096185865512,
        4.678116268302921,
        4.678136350740331,
        4.678156433177742,
        4.678176515615151,
        4.678196598052562,
        4.678216680489973,
        4.678236762927382,
        4.678256845364793,
        4.678276927802202,
        4.6782970102396115,
        4.678317092677022,
        4.678337175114431,
        4.678357257551841,
        4.678377339989252,
        4.678397422426662,
        4.678417504864072,
        4.678437587301482,
        4.678457669738892,
        4.678477752176302,
        4.678497834613712,
        4.6785179170511215,
        4.678537999488531,
        4.678558081925941,
        4.678578164363351,
        4.678598246800762,
        4.678618329238172,
        4.678638411675581,
        4.678658494112992,
        4.678678576550401,
        4.678698658987812,
        4.678718741425222,
        4.678738823862631,
        4.678758906300041,
        4.678778988737451,
        4.678799071174861,
        4.678819153612272,
        4.678839236049681,
        4.678859318487092,
        4.678879400924501,
        4.678899483361911,
        4.678919565799322,
        4.678939648236731,
        4.6789597306741415,
        4.678979813111551,
        4.678999895548961,
        4.679019977986371,
        4.679040060423781,
        4.679060142861191,
        4.679080225298601,
        4.679100307736011,
        4.679120390173421,
        4.679140472610831,
        4.679160555048242,
        4.679180637485651,
        4.679200719923061,
        4.679220802360471,
        4.67924088479788,
        4.679260967235291,
        4.6792810496727,
        4.679301132110111,
        4.67944170917198,
        4.679461791609391,
        4.6794818740468,
        4.67950195648421,
        4.679522038921621,
        4.67954212135903,
        4.679562203796441,
        4.679582286233851,
        4.679602368671261,
        4.679622451108671,
        4.6796425335460805,
        4.67966261598349,
        4.6796826984209,
        4.67970278085831,
        4.67972286329572,
        4.679742945733131,
        4.679763028170541,
        4.679783110607951,
        4.679803193045361,
        4.679823275482771,
        4.67984335792018,
        4.6798634403575905,
        4.679883522795,
        4.67990360523241,
        4.67992368766982,
        4.67994377010723,
        4.679963852544641,
        4.679983934982051,
        4.68000401741946,
        4.680024099856871,
        4.68004418229428,
        4.680064264731691,
        4.6800843471691005,
        4.6801044296065095,
        4.68012451204392,
        4.68014459448133,
        4.68016467691874,
        4.680184759356151,
        4.68020484179356,
        4.68022492423097,
        4.68024500666838,
        4.68026508910579,
        4.680285171543201,
        4.68030525398061,
        4.68032533641802,
        4.68034541885543,
        4.68036550129284,
        4.68038558373025,
        4.68040566616766,
        4.68042574860507,
        4.68044583104248,
        4.68046591347989,
        4.6804859959173,
        4.68050607835471,
        4.6805261607921205,
        4.6805462432295295,
        4.68056632566694,
        4.68058640810435,
        4.680606490541759,
        4.68062657297917,
        4.680646655416579,
        4.68066673785399,
        4.6806868202914,
        4.680706902728809,
        4.6807269851662205,
        4.68074706760363,
        4.6807671500410395,
        4.68078723247845,
        4.680807314915859,
        4.680827397353269,
        4.680847479790679,
        4.680867562228089,
        4.6808876446655,
        4.68090772710291,
        4.68092780954032,
        4.68094789197773,
        4.68096797441514,
        4.6809880568525495,
        4.681008139289959,
        4.681028221727369,
        4.681048304164779,
        4.681068386602189,
        4.681088469039599,
        4.68110855147701,
        4.68112863391442,
        4.681148716351829,
        4.68116879878924,
        4.68118888122665,
        4.681208963664059,
        4.681229046101469,
        4.681249128538878,
        4.681269210976289,
        4.681289293413699,
        4.681309375851109,
        4.68132945828852,
        4.68134954072593,
        4.681369623163339,
        4.68138970560075,
        4.681409788038159,
        4.681429870475569,
        4.681449952912979,
        4.681470035350388,
        4.6814901177878,
        4.681510200225209,
        4.681530282662619,
        4.68155036510003,
        4.681570447537439,
        4.681931931410819,
        4.681952013848229,
        4.681972096285638,
        4.681992178723049,
        4.682012261160458,
        4.682032343597868,
        4.682052426035279,
        4.682072508472688,
        4.682092590910099,
        4.6821126733475085,
        4.682132755784918,
        4.682152838222329,
        4.682172920659738,
        4.682193003097148,
        4.682213085534558,
        4.682233167971968,
        4.682253250409379,
        4.682273332846789,
        4.682293415284199,
        4.6823134977216085,
        4.6823335801590185,
        4.682353662596428,
        4.682373745033838,
        4.682393827471248,
        4.682413909908657,
        4.682433992346068,
        4.682454074783478,
        4.682474157220889,
        4.682494239658299,
        4.682514322095708,
        4.6825344045331185,
        4.6825544869705285,
        4.6825745694079375,
        4.682594651845348,
        4.682614734282757,
        4.682634816720167,
        4.682654899157578,
        4.682674981594988,
        4.682695064032399,
        4.682715146469808,
        4.682735228907218,
        4.6827553113446285,
        4.6827753937820376,
        4.6827954762194475,
        4.682815558656857,
        4.682835641094267,
        4.682855723531679,
        4.682875805969088,
        4.682895888406498,
        4.682915970843908,
        4.682936053281318,
        4.682956135718728,
        4.682976218156138,
        4.6829963005935475,
        4.683096712780598,
        4.683116795218008,
        4.683136877655418,
        4.683156960092828,
        4.683177042530237,
        4.683197124967648,
        4.6832172074050575,
        4.683237289842467,
        4.683257372279878,
        4.683277454717287,
        4.683297537154698,
        4.683317619592108,
        4.683337702029517,
        4.683357784466928,
        4.683377866904337,
        4.683397949341747,
        4.683418031779158,
        4.6834381142165675,
        4.683458196653978,
        4.683478279091387,
        4.683498361528797,
        4.683518443966208,
        4.683538526403617,
        4.683558608841027,
        4.683578691278437,
        4.683598773715847,
        4.683618856153257,
        4.683638938590668,
        4.6836590210280775,
        4.683679103465487,
        4.683699185902897,
        4.683719268340307,
        4.683739350777717,
        4.683759433215127,
        4.683779515652536,
        4.683799598089947,
        4.683819680527357,
        4.683839762964768,
        4.683859845402178,
        4.683879927839587,
        4.683900010276997,
        4.683920092714407,
        4.683940175151816,
        4.683960257589227,
        4.683980340026636,
        4.684000422464046,
        4.684020504901458,
        4.684040587338867,
        4.684060669776278,
        4.684080752213687,
        4.684100834651097,
        4.684120917088507,
        4.6841409995259164,
        4.684161081963326,
        4.684181164400736,
        4.684201246838146,
        4.684221329275557,
        4.687635343635254,
        4.6910493579949515,
        4.691069440432361,
        4.691089522869771,
        4.69110960530718,
        4.691129687744591,
        4.691149770182001,
        4.69116985261941,
        4.691189935056821,
        4.69121001749423,
        4.691230099931642,
        4.691250182369052,
        4.691270264806461,
        4.691290347243871,
        4.69131042968128,
        4.69133051211869,
        4.691350594556101,
        4.69137067699351,
        4.69139075943092,
        4.69141084186833,
        4.691430924305741,
        4.691451006743152,
        4.691471089180561,
        4.691491171617971,
        4.6915112540553805,
        4.69153133649279,
        4.6915514189302,
        4.69157150136761,
        4.69159158380502,
        4.6917321608668905,
        4.6917522433043,
        4.691772325741709,
        4.69179240817912,
        4.69181249061653,
        4.691832573053941,
        4.691852655491351,
        4.69187273792876,
        4.691892820366171,
        4.69191290280358,
        4.69193298524099,
        4.6919530676784005,
        4.6919731501158095,
        4.691993232553219,
        4.69201331499063,
        4.69203339742804,
        4.692053479865451,
        4.69207356230286,
        4.69209364474027,
        4.69211372717768,
        4.69213380961509,
        4.6921538920525,
        4.69217397448991,
        4.6921940569273195,
        4.692214139364729,
        4.69223422180214,
        4.69225430423955,
        4.69227438667696,
        4.69229446911437,
        4.692314551551779,
        4.69233463398919,
        4.6923547164266,
        4.692374798864009,
        4.6923948813014205,
        4.6924149637388295,
        4.69243504617624,
        4.69245512861365,
        4.692475211051059,
        4.69249529348847,
        4.692515375925879,
        4.692535458363289,
        4.6925555408007,
        4.692575623238109,
        4.69259570567552,
        4.69261578811293,
        4.6926358705503395,
        4.69265595298775,
        4.692676035425159,
        4.692696117862569,
        4.692716200299979,
        4.692736282737389,
        4.692756365174799,
        4.692776447612209,
        4.69279653004962,
        4.69281661248703,
        4.6928366949244396,
        4.6928567773618495,
        4.692876859799259,
        4.692896942236669,
        4.692917024674079,
        4.692937107111489,
        4.692957189548899,
        4.692977271986309,
        4.69299735442372,
        4.69301743686113,
        4.69303751929854,
        4.6930576017359495,
        4.693077684173359,
        4.693097766610769,
        4.693117849048179,
        4.693137931485588,
        4.693158013922999,
        4.693178096360409,
        4.693198178797819,
        4.69321826123523,
        4.693238343672639,
        4.69325842611005,
        4.693278508547459,
        4.693298590984869,
        4.693318673422279,
        4.693338755859688,
        4.693358838297098,
        4.693378920734509,
        4.693399003171919,
        4.69341908560933,
        4.693439168046739,
        4.693459250484149,
        4.693479332921559,
        4.693499415358969,
        4.693519497796379,
        4.6935395802337885,
        4.693559662671198,
        4.693579745108608,
        4.693599827546019,
        4.693619909983429,
        4.693639992420839,
        4.693660074858249,
        4.693680157295658,
        4.693700239733069,
        4.693720322170479,
        4.693740404607888,
        4.693760487045299,
        4.693780569482708,
        4.693800651920118,
        4.693820734357529,
        4.693840816794938,
        4.693860899232349,
        4.693880981669758,
        4.693901064107168,
        4.693921146544579,
        4.693941228981988,
        4.6939613114193985,
        4.6939813938568085,
        4.694001476294218,
        4.694021558731629,
        4.694041641169038,
        4.694061723606448,
        4.694081806043858,
        4.694101888481268,
        4.694121970918678,
        4.694142053356088,
        4.694162135793499,
        4.694182218230908,
        4.6942023006683185,
        4.694222383105728,
        4.694242465543138,
        4.694262547980548,
        4.694282630417957,
        4.694302712855368,
        4.694322795292778,
        4.694342877730188,
        4.694362960167599,
        4.694383042605009,
        4.694403125042418,
        4.694423207479828,
        4.6944432899172375,
        4.694463372354648,
        4.694483454792058,
        4.694503537229467,
        4.694523619666878,
        4.694543702104288,
        4.694563784541698,
        4.694583866979109,
        4.694603949416518,
        4.6946240318539285,
        4.6946441142913375,
        4.6946641967287475,
        4.694684279166158,
        4.694704361603567,
        4.694724444040977,
        4.694744526478388,
        4.694764608915798,
        4.694784691353208,
        4.694804773790618,
        4.694824856228028,
        4.694844938665438,
        4.6948650211028475,
        4.6948851035402575,
        4.694905185977667,
        4.694925268415078,
        4.694945350852487,
        4.694965433289898,
        4.694985515727308,
        4.695005598164717,
        4.695025680602128,
        4.695045763039537,
        4.695065845476948,
        4.6950859279143575,
        4.695106010351767,
        4.695126092789178,
        4.695146175226587,
        4.695166257663997,
        4.695186340101408,
        4.695206422538817,
        4.695226504976228,
        4.695246587413637,
        4.695266669851047,
        4.695286752288458,
        4.695306834725867,
        4.695326917163277,
        4.695346999600687,
        4.695367082038097,
        4.695387164475507,
        4.695407246912917,
        4.695427329350327,
        4.695447411787737,
        4.695467494225147,
        4.695487576662557,
        4.695507659099967,
        4.6955277415373775,
        4.6955478239747865,
        4.695567906412197,
        4.695587988849607,
        4.695608071287016,
        4.695628153724427,
        4.695648236161836,
        4.695668318599247,
        4.695688401036657,
        4.695708483474067,
        4.695728565911478,
        4.695748648348887,
        4.6957687307862965,
        4.695788813223707,
        4.695808895661116,
        4.695828978098527,
        4.695849060535936,
        4.695869142973346,
        4.695889225410757,
        4.695909307848167,
        4.695929390285577,
        4.695949472722988,
        4.695969555160397,
        4.6959896375978065,
        4.696009720035216,
        4.696029802472626,
        4.696049884910037,
        4.696069967347446,
        4.696090049784856,
        4.696110132222267,
        4.696130214659677,
        4.696150297097087,
        4.696170379534497,
        4.696190461971907,
        4.696210544409316,
        4.696230626846726,
        4.696250709284136,
        4.696270791721546,
        4.696290874158957,
        4.696310956596366,
        4.696331039033777,
        4.696351121471187,
        4.696371203908596,
        4.696391286346007,
        4.696411368783416,
        4.6964314512208265,
        4.696451533658236,
        4.6964716160956455,
        4.696491698533057,
        4.696511780970466,
        4.696531863407876,
        4.696551945845287,
        4.696572028282696,
        4.696592110720106,
        4.696612193157516,
        4.696632275594926,
        4.6966523580323365,
        4.6966724404697455,
        4.696692522907156,
        4.696712605344566,
        4.696732687781976,
        4.696752770219386,
        4.696772852656796,
        4.696792935094206,
        4.696813017531616,
        4.696833099969026,
        4.696853182406436,
        4.6968732648438465,
        4.696893347281256,
        4.696913429718665,
        4.696933512156076,
        4.696953594593486,
        4.696973677030895,
        4.696993759468306,
        4.697013841905715,
        4.697033924343126,
        4.697054006780536,
        4.697074089217946,
        4.6970941716553565,
        4.6971142540927655,
        4.697134336530175,
        4.697154418967586,
        4.697174501404995,
        4.697194583842405,
        4.697214666279815,
        4.697234748717225,
        4.697254831154636,
        4.697274913592046,
        4.697294996029456,
        4.697315078466866,
        4.6973351609042755,
        4.697355243341685,
        4.697375325779095,
        4.697395408216505,
        4.697415490653915,
        4.697435573091325,
        4.697455655528735,
        4.697475737966146,
        4.697495820403556,
        4.697515902840965,
        4.697535985278376,
        4.6975560677157855,
        4.6975761501531945,
        4.697596232590605,
        4.697616315028014,
        4.697636397465425,
        4.697656479902836,
        4.697676562340245,
        4.697696644777656,
        4.697716727215066,
        4.697736809652475,
        4.697756892089886,
        4.697776974527295,
        4.6977970569647045,
        4.697817139402115,
        4.697837221839524,
        4.697857304276936,
        4.697877386714345,
        4.697897469151755,
        4.697917551589166,
        4.697937634026575,
        4.697957716463985,
        4.697977798901395,
        4.697997881338805,
        4.698017963776215,
        4.698038046213624,
        4.698058128651035,
        4.698078211088445,
        4.698098293525855,
        4.698118375963265,
        4.698138458400675,
        4.698158540838085,
        4.698178623275494,
        4.698198705712905,
        4.698218788150315,
        4.698238870587725,
        4.698258953025135,
        4.698279035462544,
        4.698299117899955,
        4.698319200337365,
        4.698339282774774,
        4.698359365212185,
        4.698379447649594,
        4.698399530087004,
        4.698419612524415,
        4.698439694961825,
        4.698459777399235,
        4.698479859836644,
        4.698499942274054,
        4.698520024711465,
        4.698540107148874,
        4.698560189586284,
        4.698580272023694,
        4.698600354461104,
        4.698620436898515,
        4.698640519335925,
        4.6986606017733346,
        4.6986806842107445,
        4.698700766648154,
        4.698720849085564,
        4.698740931522974,
        4.698761013960384,
        4.698781096397793,
        4.698801178835204,
        4.698821261272615,
        4.698841343710025,
        4.698861426147435,
        4.698881508584844,
        4.6989015910222545,
        4.698921673459664,
        4.698941755897073,
        4.698961838334484,
        4.698981920771893,
        4.699002003209303,
        4.699022085646715,
        4.699042168084124,
        4.699062250521535,
        4.699082332958944,
        4.699102415396354,
        4.6991224978337645,
        4.6991425802711735,
        4.699162662708583,
        4.699182745145993,
        4.699202827583403,
        4.699222910020815,
        4.699242992458224,
        4.699263074895634,
        4.699283157333045,
        4.699303239770454,
        4.699323322207864,
        4.699343404645274,
        4.6993634870826835,
        4.699383569520093,
        4.699403651957503,
        4.699423734394914,
        4.699443816832324,
        4.699463899269734,
        4.699483981707144,
        4.699504064144554,
        4.699524146581964,
        4.699544229019373,
        4.6995643114567835,
        4.6995843938941935,
        4.699604476331603,
        4.699624558769014,
        4.699644641206423,
        4.699664723643834,
        4.699684806081244,
        4.699704888518653,
        4.699724970956064,
        4.699745053393473,
        4.699765135830883,
        4.6997852182682935,
        4.6998053007057035,
        4.699825383143114,
        4.699845465580523,
        4.699865548017933,
        4.699885630455344,
        4.699905712892753,
        4.699925795330163,
        4.699945877767573,
        4.699965960204983,
        4.699986042642394,
        4.7000061250798035,
        4.7000262075172135,
        4.700046289954623,
        4.700066372392033,
        4.700086454829443,
        4.700106537266853,
        4.700126619704263,
        4.700146702141672,
        4.700166784579083,
        4.700186867016494,
        4.700206949453904,
        4.7002270318913135,
        4.7002471143287226,
        4.700267196766133,
        4.700447938702823,
        4.7004680211402325,
        4.700488103577643,
        4.700508186015052,
        4.700528268452462,
        4.700548350889872,
        4.700568433327282,
        4.700588515764693,
        4.700608598202103,
        4.700628680639513,
        4.700648763076923,
        4.700668845514333,
        4.7006889279517425,
        4.7007090103891525,
        4.700729092826562,
        4.700749175263971,
        4.700769257701383,
        4.700789340138793,
        4.700809422576203,
        4.700829505013613,
        4.700849587451023,
        4.700869669888433,
        4.700889752325843,
        4.700909834763252,
        4.7009299172006624,
        4.700949999638072,
        4.700970082075482,
        4.700990164512893,
        4.701010246950302,
        4.701030329387713,
        4.701050411825123,
        4.701070494262532,
        4.701090576699943,
        4.701110659137352,
        4.701130741574762,
        4.701150824012172,
        4.701170906449582,
        4.701190988886992,
        4.701211071324402,
        4.701231153761812,
        4.701251236199223,
        4.701271318636632,
        4.701291401074042,
        4.701311483511452,
        4.701331565948862,
        4.7013516483862725,
        4.701371730823682,
        4.701391813261092,
        4.701411895698502,
        4.701431978135912,
        4.701452060573322,
        4.701472143010732,
        4.701492225448142,
        4.701512307885551,
        4.701532390322962,
        4.701552472760373,
        4.701572555197782,
        4.701592637635192,
        4.7016127200726014,
        4.701632802510012,
        4.701652884947422,
        4.701672967384831,
        4.701693049822242,
        4.701713132259651,
        4.701733214697061,
        4.701753297134473,
        4.701773379571882,
        4.701793462009292,
        4.7018135444467015,
        4.701833626884111,
        4.701853709321522,
        4.701873791758931,
        4.701893874196341,
        4.701913956633751,
        4.701934039071162,
        4.701954121508572,
        4.701974203945982,
        4.701994286383392,
        4.702014368820802,
        4.7020344512582115,
        4.702054533695621,
        4.702074616133031,
        4.702094698570441,
        4.70211478100785,
        4.702134863445262,
        4.702154945882672,
        4.702175028320081,
        4.702195110757492,
        4.702215193194901,
        4.702235275632312,
        4.7022553580697215,
        4.7022754405071305,
        4.702295522944541,
        4.70231560538195,
        4.702335687819361,
        4.702355770256772,
        4.702375852694181,
        4.702395935131591,
        4.702416017569001,
        4.702436100006411,
        4.702456182443822,
        4.702476264881231,
        4.7024963473186405,
        4.70251642975605,
        4.702536512193461,
        4.702556594630871,
        4.702576677068281,
        4.702596759505691,
        4.702616841943102,
        4.702636924380511,
        4.702657006817921,
        4.702677089255331,
        4.702697171692741,
        4.702717254130151,
        4.702737336567561,
        4.702757419004971,
        4.70277750144238,
        4.702797583879791,
        4.702817666317201,
        4.702837748754611,
        4.702857831192021,
        4.70287791362943,
        4.702897996066841,
        4.7029180785042515,
        4.7029381609416605,
        4.702958243379071,
        4.70297832581648,
        4.70299840825389,
        4.703018490691301,
        4.70303857312871,
        4.703058655566121,
        4.70307873800353,
        4.70309882044094,
        4.7031189028783515,
        4.703138985315761,
        4.7031590677531705,
        4.70317915019058,
        4.70319923262799,
        4.703219315065401,
        4.70323939750281,
        4.70325947994022,
        4.70327956237763,
        4.703299644815041,
        4.703319727252451,
        4.703339809689861,
        4.703359892127271,
        4.70337997456468,
        4.70340005700209,
        4.7034201394395,
        4.70344022187691,
        4.70346030431432,
        4.703480386751729,
        4.703500469189141,
        4.703520551626551,
        4.70354063406396,
        4.703560716501371,
        4.70358079893878,
        4.7036008813761905,
        4.7036209638136,
        4.703641046251009,
        4.70366112868842,
        4.703681211125829,
        4.70370129356324,
        4.703721376000651,
        4.70374145843806,
        4.70376154087547,
        4.70378162331288,
        4.70380170575029,
        4.7038217881877005,
        4.7038418706251095,
        4.703861953062519,
        4.70388203549993,
        4.70390211793734,
        4.70392220037475,
        4.70394228281216,
        4.70396236524957,
        4.703982447686979,
        4.70400253012439,
        4.7040226125618,
        4.70404269499921,
        4.7040627774366195,
        4.70408285987403,
        4.70410294231144,
        4.70412302474885,
        4.704143107186259,
        4.70416318962367,
        4.70418327206108,
        4.70420335449849,
        4.7042234369359,
        4.704243519373309,
        4.70426360181072,
        4.70428368424813,
        4.704303766685539,
        4.70432384912295,
        4.704343931560359,
        4.704364013997769,
        4.70438409643518,
        4.704404178872589,
        4.70442426131,
        4.704444343747409,
        4.704464426184819,
        4.70448450862223,
        4.7045045910596395,
        4.704524673497049,
        4.704544755934459,
        4.704564838371869,
        4.704584920809279,
        4.704605003246689,
        4.704625085684099,
        4.704645168121509,
        4.70466525055892,
        4.70468533299633,
        4.7047054154337395,
        4.7047254978711495,
        4.7047455803085585,
        4.704765662745969,
        4.704785745183379,
        4.704805827620789,
        4.704825910058199,
        4.704845992495608,
        4.70486607493302,
        4.70488615737043,
        4.704906239807839,
        4.7049263222452495,
        4.704946404682659,
        4.7049664871200685,
        4.704986569557479,
        4.705006651994888,
        4.705026734432299,
        4.705046816869708,
        4.705066899307119,
        4.70508698174453,
        4.705107064181939,
        4.705127146619349,
        4.705147229056759,
        4.705167311494169,
        4.7051873939315785,
        4.705207476368988,
        4.705227558806398,
        4.705247641243809,
        4.705267723681219,
        4.705287806118629,
        4.705307888556039,
        4.705327970993449,
        4.705348053430858,
        4.705368135868269,
        4.7053882183056785,
        4.7054083007430885,
        4.705428383180498,
        4.705448465617908,
        4.705468548055319,
        4.705488630492729,
        4.705508712930138,
        4.705528795367549,
        4.705548877804958,
        4.705568960242368,
        4.705589042679779,
        4.705609125117188,
        4.7056292075545985,
        4.705649289992009,
        4.705669372429418,
        4.705689454866829,
        4.705709537304238,
        4.705729619741648,
        4.705749702179059,
        4.705769784616468,
        4.705789867053878,
        4.705809949491288,
        4.7058300319286985,
        4.705850114366109,
        4.705870196803518,
        4.705890279240928,
        4.705910361678338,
        4.705930444115748,
        4.705950526553158,
        4.705970608990568,
        4.705990691427978,
        4.706010773865388,
        4.706030856302799,
        4.7060509387402085,
        4.706071021177618,
        4.706091103615028,
        4.706111186052437,
        4.706131268489848,
        4.706151350927258,
        4.706171433364667,
        4.706191515802078,
        4.706211598239487,
        4.706231680676899,
        4.706251763114309,
        4.706271845551718,
        4.706291927989128,
        4.7063120104265375,
        4.706332092863947,
        4.706352175301358,
        4.706372257738767,
        4.706392340176178,
        4.706412422613587,
        4.706432505050998,
        4.706452587488409,
        4.706472669925818,
        4.706492752363228,
        4.706573082112867,
        4.706593164550277,
        4.706613246987688,
        4.706633329425098,
        4.706653411862508,
        4.706673494299918,
        4.706693576737328,
        4.706713659174737,
        4.7067337416121475,
        4.7067538240495574,
        4.7067739064869665,
        4.706793988924377,
        4.706814071361787,
        4.706834153799198,
        4.706854236236608,
        4.706874318674017,
        4.706894401111428,
        4.706914483548837,
        4.706934565986247,
        4.7069546484236575,
        4.7069747308610665,
        4.706994813298477,
        4.707014895735887,
        4.707034978173297,
        4.707055060610708,
        4.707075143048117,
        4.707095225485527,
        4.707115307922937,
        4.707135390360347,
        4.707155472797757,
        4.707175555235167,
        4.707195637672577,
        4.707215720109987,
        4.707235802547397,
        4.707255884984807,
        4.707275967422217,
        4.707296049859627,
        4.707316132297036,
        4.707336214734447,
        4.707356297171857,
        4.707376379609266,
        4.7073964620466775,
        4.707416544484087,
        4.707436626921497,
        4.707456709358907,
        4.707476791796316,
        4.707496874233727,
        4.707516956671137,
        4.707537039108546,
        4.707557121545957,
        4.707577203983366,
        4.707597286420778,
        4.7076173688581875,
        4.7076374512955965,
        4.707657533733007,
        4.707677616170416,
        4.707697698607826,
        4.707717781045237,
        4.707737863482646,
        4.707757945920056,
        4.707778028357467,
        4.707798110794877,
        4.707818193232288,
        4.707838275669697,
        4.7078583581071065,
        4.707878440544516,
        4.707898522981926,
        4.707918605419336,
        4.707938687856746,
        4.707958770294156,
        4.707978852731566,
        4.707998935168977,
        4.708019017606387,
        4.708039100043797,
        4.708059182481207,
        4.708079264918616,
        4.708099347356026,
        4.708119429793436,
        4.708139512230845,
        4.708159594668256,
        4.708179677105666,
        4.708199759543077,
        4.708219841980487,
        4.708239924417896,
        4.708260006855307,
        4.708280089292716,
        4.708300171730126,
        4.708320254167536,
        4.708340336604945,
        4.708360419042356,
        4.708380501479766,
        4.708400583917176,
        4.708420666354587,
        4.708440748791996,
        4.708460831229406,
        4.708480913666816,
        4.708500996104226,
        4.708521078541636,
        4.7085411609790455,
        4.708561243416456,
        4.708581325853865,
        4.708601408291276,
        4.708621490728686,
        4.708641573166096,
        4.708661655603506,
        4.708681738040915,
        4.708701820478326,
        4.708721902915736,
        4.708741985353145,
        4.708762067790556,
        4.708782150227965,
        4.708802232665376,
        4.708822315102786,
        4.708842397540195,
        4.708862479977606,
        4.708882562415015,
        4.708902644852425,
        4.708922727289836,
        4.708942809727246,
        4.708962892164656,
        4.708982974602066,
        4.709003057039475,
        4.709023139476886,
        4.709043221914295,
        4.709063304351705,
        4.709324376038035,
        4.709344458475445,
        4.709364540912856,
        4.709384623350266,
        4.709404705787676,
        4.7094247882250855,
        4.7094448706624945,
        4.709464953099905,
        4.709485035537315,
        4.709505117974724,
        4.709525200412135,
        4.709545282849545,
        4.709565365286955,
        4.709585447724366,
        4.709605530161775,
        4.7096256125991856,
        4.709645695036595,
        4.7096657774740045,
        4.709685859911415,
        4.709705942348824,
        4.709726024786235,
        4.709746107223645,
        4.709766189661055,
        4.709786272098466,
        4.709806354535875,
        4.709826436973285,
        4.709846519410695,
        4.709866601848105,
        4.7098866842855145,
        4.709906766722924,
        4.709926849160335,
        4.709946931597744,
        4.709967014035155,
        4.709987096472565,
        4.710007178909975,
        4.710027261347385,
        4.710047343784794,
        4.710067426222205,
        4.710087508659615,
        4.710107591097024,
        4.710127673534435,
        4.710147755971844,
        4.710167838409254,
        4.710187920846665,
        4.710208003284074,
        4.710228085721485,
        4.710248168158894,
        4.710268250596304,
        4.710288333033715,
        4.7103084154711246,
        4.7103284979085345,
        4.710348580345944,
        4.710368662783354,
        4.710388745220765,
        4.710408827658174,
        4.710428910095584,
        4.710448992532994,
        4.710469074970404,
        4.710489157407814,
        4.710509239845225,
        4.7105293222826345,
        4.7105494047200445,
        4.710569487157454,
        4.710770311531554,
        4.710790393968964,
        4.710810476406373,
        4.710830558843784,
        4.710850641281194,
        4.710870723718603,
        4.710890806156015,
        4.710910888593424,
        4.710930971030834,
        4.710951053468245,
        4.710971135905654,
        4.7109912183430644,
        4.7110113007804735,
        4.711031383217883,
        4.711051465655294,
        4.711071548092703,
        4.711091630530114,
        4.711111712967524,
        4.711131795404934,
        4.711151877842344,
        4.711171960279754,
        4.711192042717164,
        4.7112121251545735,
        4.7112322075919835,
        4.711252290029393,
        4.711272372466803,
        4.711292454904214,
        4.711312537341623,
        4.711332619779034,
        4.711352702216444,
        4.711372784653853,
        4.711392867091264,
        4.711412949528673,
        4.7114330319660835,
        4.7114531144034935,
        4.7114731968409025,
        4.711493279278314,
        4.711513361715723,
        4.711533444153133,
        4.711553526590544,
        4.711573609027953,
        4.711593691465364,
        4.711613773902773,
        4.711633856340183,
        4.7116539387775935,
        4.7116740212150034,
        4.711694103652413,
        4.711714186089823,
        4.711734268527233,
        4.711754350964643,
        4.711774433402053,
        4.711794515839463,
        4.711814598276873,
        4.711834680714283,
        4.711854763151693,
        4.7118748455891035,
        4.711894928026513,
        4.7119150104639225,
        4.711935092901333,
        4.711955175338743,
        4.711975257776152,
        4.711995340213563,
        4.712015422650972,
        4.712035505088383,
        4.712055587525793,
        4.712075669963203,
        4.7120957524006135,
        4.7121158348380225,
        4.7121359172754325,
        4.712155999712843,
        4.7123166592121235,
        4.7123367416495325,
        4.7123568240869425,
        4.712376906524352,
        4.712396988961762,
        4.712417071399173,
        4.712437153836582,
        4.712457236273993,
        4.712477318711403,
        4.712497401148813,
        4.712517483586223,
        4.712537566023633,
        4.7125576484610425,
        4.7125777308984516,
        4.712597813335862,
        4.712617895773272,
        4.712637978210682,
        4.712658060648093,
        4.712678143085502,
        4.712698225522913,
        4.712718307960323,
        4.712738390397732,
        4.712758472835143,
        4.712778555272552,
        4.712798637709962,
        4.712818720147372,
        4.712838802584782,
        4.712858885022193,
        4.712878967459602,
        4.712899049897012,
        4.712919132334423,
        4.712939214771832,
        4.712959297209242,
        4.712979379646652,
        4.712999462084062,
        4.713019544521472,
        4.713039626958882,
        4.713059709396292,
        4.713079791833702,
        4.713099874271112,
        4.713119956708522,
        4.713140039145932,
        4.713160121583342,
        4.713180204020752,
        4.713200286458162,
        4.713220368895572,
        4.713240451332982,
        4.713260533770392,
        4.713280616207801,
        4.713300698645212,
        4.713320781082622,
        4.713340863520031,
        4.713360945957442,
        4.713381028394851,
        4.713401110832262,
        4.713421193269672,
        4.713441275707082,
        4.713461358144492,
        4.713481440581901,
        4.713501523019311,
        4.713521605456722,
        4.713541687894131,
        4.713561770331541,
        4.713581852768951,
        4.713601935206361,
        4.713622017643773,
        4.713642100081182,
        4.713662182518592,
        4.7136822649560015,
        4.713702347393411,
        4.713722429830821,
        4.713742512268231,
        4.713762594705641,
        4.713782677143051,
        4.713802759580461,
        4.713822842017872,
        4.713842924455282,
        4.713863006892692,
        4.713883089330102,
        4.7139031717675115,
        4.713923254204921,
        4.7139433366423305,
        4.713963419079741,
        4.717066155659582,
        4.720209057114245,
        4.720229139551655,
        4.720249221989067,
        4.720269304426476,
        4.720289386863886,
        4.720309469301296,
        4.720329551738706,
        4.720349634176116,
        4.720369716613526,
        4.720389799050936,
        4.7204098814883455,
        4.720429963925755,
        4.720450046363166,
        4.720470128800576,
        4.720490211237986,
        4.720510293675395,
        4.720530376112806,
        4.720550458550216,
        4.720570540987626,
        4.720590623425036,
        4.720610705862445,
        4.720630788299856,
        4.720650870737266,
        4.720670953174675,
        4.720691035612086,
        4.720711118049495,
        4.720731200486905,
        4.720751282924316,
        4.720771365361725,
        4.720791447799136,
        4.720811530236545,
        4.720831612673956,
        4.720851695111366,
        4.720871777548775,
        4.720891859986185,
        4.720911942423595,
        4.720932024861005,
        4.720952107298415,
        4.720972189735825,
        4.720992272173235,
        4.721012354610645,
        4.721032437048056,
        4.721052519485466,
        4.7210726019228755,
        4.721092684360285,
        4.721112766797694,
        4.721132849235105,
        4.721152931672515,
        4.721173014109925,
        4.721193096547335,
        4.721213178984745,
        4.721233261422156,
        4.721253343859566,
        4.721273426296975,
        4.7212935087343855,
        4.7213135911717945,
        4.721333673609204,
        4.721353756046615,
        4.721373838484024,
        4.721393920921435,
        4.721414003358845,
        4.721434085796255,
        4.721454168233666,
        4.721474250671075,
        4.721494333108485,
        4.721514415545895,
        4.7215344979833045,
        4.721554580420714,
        4.721574662858124,
        4.721594745295534,
        4.721614827732945,
        4.721634910170355,
        4.721654992607765,
        4.721675075045175,
        4.721695157482585,
        4.721715239919994,
        4.721735322357405,
        4.7217554047948145,
        4.721775487232224,
        4.721795569669635,
        4.721815652107044,
        4.721835734544455,
        4.721855816981865,
        4.721875899419274,
        4.721895981856685,
        4.721916064294094,
        4.721936146731504,
        4.7219562291689146,
        4.721976311606324,
        4.721996394043735,
        4.722016476481145,
        4.722036558918554,
        4.722056641355965,
        4.722076723793374,
        4.722096806230784,
        4.722116888668195,
        4.722136971105604,
        4.722157053543014,
        4.722177135980424,
        4.7221972184178345,
        4.722217300855245,
        4.722237383292654,
        4.722257465730064,
        4.722277548167474,
        4.722297630604884,
        4.722317713042294,
        4.722337795479704,
        4.722357877917114,
        4.722377960354524,
        4.7223980427919345,
        4.7224181252293445,
        4.722438207666754,
        4.722458290104164,
        4.722478372541573,
        4.722498454978984,
        4.722518537416394,
        4.722538619853803,
        4.722558702291214,
        4.722578784728624,
        4.722598867166035,
        4.7226189496034445,
        4.722639032040854,
        4.722659114478264,
        4.722679196915673,
        4.722699279353083,
        4.722719361790494,
        4.722739444227903,
        4.722759526665313,
        4.722779609102724,
        4.722799691540134,
        4.722819773977545,
        4.722839856414954,
        4.7228599388523635,
        4.7228800212897735,
        4.722900103727183,
        4.722920186164593,
        4.722940268602003,
        4.722960351039413,
        4.722980433476824,
        4.723000515914234,
        4.723020598351644,
        4.723040680789054,
        4.723060763226464,
        4.723080845663873,
        4.7231009281012835,
        4.723121010538693,
        4.723141092976102,
        4.723161175413514,
        4.723181257850923,
        4.723201340288334,
        4.723221422725744,
        4.723241505163153,
        4.723261587600564,
        4.723281670037973,
        4.723301752475383,
        4.7233218349127934,
        4.7233419173502025,
        4.723361999787614,
        4.723382082225023,
        4.723402164662433,
        4.723422247099844,
        4.723442329537253,
        4.723462411974663,
        4.723482494412073,
        4.723502576849483,
        4.723522659286893,
        4.7235427417243026,
        4.723562824161713,
        4.723582906599124,
        4.723602989036533,
        4.723623071473943,
        4.723643153911353,
        4.723663236348763,
        4.723683318786173,
        4.723703401223583,
        4.723723483660993,
        4.723743566098403,
        4.723763648535813,
        4.723783730973223,
        4.723803813410633,
        4.723823895848043,
        4.723843978285452,
        4.723864060722863,
        4.723884143160273,
        4.723904225597682,
        4.723924308035093,
        4.723944390472503,
        4.7239644729099135,
        4.723984555347323,
        4.7240046377847325,
        4.724024720222143,
        4.724044802659552,
        4.724064885096962,
        4.724084967534373,
        4.724105049971782,
        4.724125132409192,
        4.724145214846603,
        4.724165297284013,
        4.7241853797214235,
        4.7242054621588325,
        4.724225544596242,
        4.724245627033652,
        4.724265709471062,
        4.724285791908472,
        4.724305874345882,
        4.724325956783293,
        4.724346039220702,
        4.724366121658113,
        4.724386204095523,
        4.724406286532933,
        4.7244263689703425,
        4.7244464514077515,
        4.724466533845162,
        4.724486616282572,
        4.724506698719981,
        4.724526781157393,
        4.724546863594802,
        4.724566946032213,
        4.724587028469623,
        4.724607110907032,
        4.724627193344443,
        4.724647275781852,
        4.7246673582192615,
        4.724687440656672,
        4.724707523094081,
        4.724727605531492,
        4.724747687968902,
        4.724767770406312,
        4.724787852843723,
        4.724807935281132,
        4.724828017718542,
        4.724848100155952,
        4.724868182593362,
        4.7248882650307715,
        4.724908347468182,
        4.724928429905592,
        4.724948512343001,
        4.724968594780412,
        4.724988677217822,
        4.725008759655232,
        4.725028842092642,
        4.725048924530051,
        4.725069006967462,
        4.725089089404872,
        4.7251091718422815,
        4.725129254279692,
        4.725149336717102,
        4.725169419154512,
        4.725189501591922,
        4.725209584029331,
        4.725229666466742,
        4.725249748904152,
        4.725269831341561,
        4.725289913778972,
        4.725309996216382,
        4.7253300786537915,
        4.725350161091202,
        4.725370243528611,
        4.725390325966022,
        4.725410408403431,
        4.725430490840841,
        4.725450573278252,
        4.725470655715661,
        4.725490738153071,
        4.725510820590482,
        4.725530903027892,
        4.7255509854653015,
        4.725571067902711,
        4.725591150340121,
        4.725611232777531,
        4.725631315214941,
        4.725651397652351,
        4.725671480089761,
        4.725691562527172,
        4.725711644964581,
        4.725731727401992,
        4.725751809839402,
        4.7257718922768115,
        4.725791974714221,
        4.72581205715163,
        4.725832139589041,
        4.725852222026451,
        4.72587230446386,
        4.725892386901272,
        4.725912469338681,
        4.725932551776091,
        4.725952634213502,
        4.725972716650911,
        4.7259927990883215,
        4.7260128815257305,
        4.72603296396314,
        4.726053046400551,
        4.72607312883796,
        4.726093211275371,
        4.726113293712781,
        4.726133376150191,
        4.726153458587602,
        4.726173541025011,
        4.726193623462421,
        4.726213705899831,
        4.7262337883372405,
        4.72625387077465,
        4.72627395321206,
        4.726294035649471,
        4.72631411808688,
        4.726334200524291,
        4.726354282961701,
        4.726374365399111,
        4.726394447836521,
        4.72641453027393,
        4.726434612711341,
        4.7264546951487505,
        4.72647477758616,
        4.726494860023571,
        4.72651494246098,
        4.72653502489839,
        4.726555107335801,
        4.72657518977321,
        4.726595272210621,
        4.72661535464803,
        4.72663543708544,
        4.726655519522851,
        4.7266756019602605,
        4.72669568439767,
        4.72671576683508,
        4.72673584927249,
        4.726755931709901,
        4.72677601414731,
        4.72679609658472,
        4.72681617902213,
        4.72683626145954,
        4.726856343896951,
        4.726876426334361,
        4.7268965087717705,
        4.72691659120918,
        4.72693667364659,
        4.726956756084,
        4.72697683852141,
        4.72699692095882,
        4.72701700339623,
        4.72703708583364,
        4.727057168271051,
        4.727257992645151,
        4.72727807508256,
        4.72729815751997,
        4.7273182399573805,
        4.72733832239479,
        4.7273584048322,
        4.727378487269609,
        4.727398569707019,
        4.72741865214443,
        4.727438734581839,
        4.72745881701925,
        4.72747889945666,
        4.72749898189407,
        4.72751906433148,
        4.72753914676889,
        4.7275592292063,
        4.7275793116437095,
        4.727599394081119,
        4.727619476518529,
        4.72763955895594,
        4.72765964139335,
        4.727679723830759,
        4.72769980626817,
        4.72771988870558,
        4.727739971142989,
        4.7277600535804,
        4.727780136017809,
        4.7278002184552195,
        4.727820300892629,
        4.727840383330039,
        4.72786046576745,
        4.727880548204859,
        4.727900630642269,
        4.72792071307968,
        4.727940795517089,
        4.7279608779545,
        4.727980960391909,
        4.728001042829319,
        4.7280211252667295,
        4.728041207704139,
        4.728061290141549,
        4.728081372578959,
        4.728101455016369,
        4.728121537453779,
        4.728141619891189,
        4.728161702328599,
        4.728181784766009,
        4.728201867203419,
        4.728221949640829,
        4.7282420320782395,
        4.728262114515649,
        4.728282196953058,
        4.728603515951618,
        4.728824422763129,
        4.728844505200539,
        4.728864587637949,
        4.728884670075359,
        4.7289047525127685,
        4.7289248349501785,
        4.7289449173875875,
        4.728964999824998,
        4.728985082262408,
        4.729005164699819,
        4.729025247137229,
        4.729045329574638,
        4.729065412012049,
        4.729085494449459,
        4.729105576886868,
        4.7291256593242785,
        4.729145741761688,
        4.729165824199098,
        4.729185906636508,
        4.729205989073918,
        4.729226071511329,
        4.729246153948738,
        4.729266236386148,
        4.729286318823559,
        4.729306401260968,
        4.729326483698378,
        4.729346566135788,
        4.7293666485731976,
        4.729386731010608,
        4.729406813448018,
        4.729426895885428,
        4.729446978322838,
        4.729467060760248,
        4.729487143197658,
        4.729507225635068,
        4.729527308072478,
        4.729547390509888,
        4.729567472947298,
        4.729587555384708,
        4.729607637822118,
        4.729627720259528,
        4.729647802696937,
        4.729667885134348,
        4.729687967571758,
        4.729708050009167,
        4.729728132446578,
        4.729748214883987,
        4.729768297321398,
        4.729928956820677,
        4.729949039258087,
        4.729969121695497,
        4.729989204132909,
        4.730009286570318,
        4.7300293690077275,
        4.730049451445138,
        4.730069533882547,
        4.730089616319957,
        4.730109698757367,
        4.730129781194777,
        4.730149863632188,
        4.730169946069598,
        4.730190028507008,
        4.730210110944418,
        4.730230193381828,
        4.7302502758192375,
        4.730270358256647,
        4.730290440694057,
        4.730310523131466,
        4.730330605568877,
        4.730350688006287,
        4.730370770443698,
        4.730390852881108,
        4.730410935318517,
        4.730431017755928,
        4.730451100193338,
        4.730471182630747,
        4.730491265068157,
        4.7305113475055665,
        4.730531429942976,
        4.730551512380387,
        4.730571594817797,
        4.730591677255208,
        4.730611759692617,
        4.730631842130027,
        4.730651924567438,
        4.730672007004847,
        4.730692089442257,
        4.7307121718796665,
        4.7307322543170764,
        4.730752336754488,
        4.730772419191897,
        4.730792501629307,
        4.730812584066717,
        4.730832666504127,
        4.730852748941537,
        4.730872831378947,
        4.730892913816357,
        4.730912996253766,
        4.7309330786911765,
        4.730953161128587,
        4.730973243565997,
        4.730993326003407,
        4.731013408440816,
        4.731033490878227,
        4.731053573315637,
        4.731073655753046,
        4.731093738190457,
        4.731113820627866,
        4.731133903065276,
        4.731153985502687,
        4.731174067940096,
        4.731194150377507,
        4.731214232814916,
        4.731234315252326,
        4.731254397689737,
        4.731274480127146,
        4.731294562564556,
        4.731314645001966,
        4.731334727439376,
        4.7313548098767875,
        4.7313748923141965,
        4.731394974751606,
        4.731415057189016,
        4.731435139626426,
        4.731455222063836,
        4.731475304501246,
        4.731495386938656,
        4.731515469376065,
        4.731535551813477,
        4.731555634250887,
        4.731575716688297,
        4.7315957991257065,
        4.7316158815631155,
        4.731635964000526,
        4.731656046437936,
        4.731676128875345,
        4.731696211312756,
        4.731716293750165,
        4.731736376187576,
        4.731756458624987,
        4.731776541062396,
        4.731796623499807,
        4.7318167059372165,
        4.7318367883746255,
        4.731856870812036,
        4.731876953249445,
        4.731897035686855,
        4.731917118124267,
        4.731937200561676,
        4.731957282999087,
        4.731977365436496,
        4.731997447873906,
        4.7320175303113166,
        4.732037612748726,
        4.7320576951861355,
        4.732077777623545,
        4.732097860060955,
        4.732117942498366,
        4.732138024935776,
        4.732158107373186,
        4.732178189810596,
        4.732198272248006,
        4.732218354685416,
        4.732238437122826,
        4.732258519560236,
        4.732278601997645,
        4.732298684435055,
        4.732318766872466,
        4.732338849309875,
        4.732358931747286,
        4.732379014184695,
        4.732399096622106,
        4.732419179059516,
        4.732439261496925,
        4.732459343934336,
        4.732479426371745,
        4.732499508809155,
        4.732519591246566,
        4.732539673683975,
        4.732559756121386,
        4.732579838558795,
        4.732599920996205,
        4.732620003433616,
        4.732640085871025,
        4.732660168308435,
        4.732680250745845,
        4.732700333183256,
        4.7327204156206655,
        4.732740498058075,
        4.732760580495485,
        4.732780662932895,
        4.732800745370305,
        4.732820827807715,
        4.732840910245125,
        4.732860992682535,
        4.732881075119944,
        4.732901157557356,
        4.7329212399947655,
        4.7329413224321755,
        4.732961404869585,
        4.732981487306994,
        4.733001569744405,
        4.733021652181815,
        4.733041734619224,
        4.733061817056635,
        4.733081899494044,
        4.733101981931455,
        4.733122064368866,
        4.733142146806275,
        4.7331622292436855,
        4.7331823116810945,
        4.733202394118504,
        4.733222476555915,
        4.733242558993324,
        4.733262641430734,
        4.733282723868144,
        4.733302806305555,
        4.733322888742965,
        4.733342971180375,
        4.733363053617785,
        4.7333831360551955,
        4.7334032184926045,
        4.733423300930014,
        4.733443383367424,
        4.733463465804834,
        4.733483548242245,
        4.733503630679655,
        4.733523713117065,
        4.733543795554475,
        4.733563877991885,
        4.733583960429295,
        4.7336040428667046,
        4.7336241253041145,
        4.7336442077415235,
        4.733664290178934,
        4.733684372616345,
        4.733704455053754,
        4.733724537491165,
        4.733744619928574,
        4.733764702365985,
        4.733784784803395,
        4.733804867240804,
        4.7338249496782145,
        4.733845032115624,
        4.733865114553034,
        4.733885196990445,
        4.733905279427854,
        4.733925361865264,
        4.733945444302674,
        4.733965526740084,
        4.733985609177495,
        4.734005691614904,
        4.734025774052314,
        4.734045856489724,
        4.7340659389271345,
        4.734086021364544,
        4.734106103801954,
        4.734126186239364,
        4.734146268676774,
        4.734166351114184,
        4.734186433551594,
        4.734206515989004,
        4.734226598426414,
        4.734246680863823,
        4.7342667633012345,
        4.7342868457386444,
        4.7343069281760535,
        4.734327010613464,
        4.734347093050873,
        4.734367175488284,
        4.734387257925694,
        4.734407340363103,
        4.734427422800514,
        4.734447505237923,
        4.734467587675334,
        4.7344876701127445,
        4.7345077525501535,
        4.7345278349875635,
        4.734547917424973,
        4.734567999862383,
        4.734588082299794,
        4.734608164737203,
        4.734628247174613,
        4.734648329612024,
        4.734668412049434,
        4.734688494486844,
        4.734708576924254,
        4.7347286593616635,
        4.7347487417990735,
        4.734768824236483,
        4.734788906673893,
        4.734808989111303,
        4.734829071548713,
        4.734849153986124,
        4.734869236423534,
        4.734889318860944,
        4.734909401298353,
        4.734929483735764,
        4.7349495661731735,
        4.7349696486105834,
        4.734989731047993,
        4.735009813485402,
        4.735029895922813,
        4.735049978360224,
        4.735070060797633,
        4.735090143235044,
        4.735110225672453,
        4.735130308109863,
        4.735150390547274,
        4.735170472984683,
        4.735190555422093,
        4.7352106378595025,
        4.735230720296912,
        4.735250802734324,
        4.735270885171733,
        4.735290967609143,
        4.735311050046553,
        4.735331132483963,
        4.735351214921374,
        4.735371297358783,
        4.735391379796193,
        4.7354114622336025,
        4.735431544671013,
        4.735451627108423,
        4.735471709545833,
        4.735491791983243,
        4.735511874420652,
        4.735531956858063,
        4.735552039295473,
        4.735572121732883,
        4.735592204170293,
        4.735612286607702,
        4.735632369045113,
        4.735652451482523,
        4.735672533919932,
        4.735692616357343,
        4.735712698794752,
        4.735732781232162,
        4.735752863669573,
        4.735772946106982,
        4.735793028544393,
        4.735813110981803,
        4.735833193419213,
        4.735853275856623,
        4.735873358294032,
        4.735893440731442,
        4.735913523168852,
        4.735933605606262,
        4.735953688043673,
        4.735973770481082,
        4.735993852918492,
        4.736013935355903,
        4.736034017793313,
        4.736054100230723,
        4.7360741826681325,
        4.736094265105542,
        4.7361143475429515,
        4.736134429980362,
        4.736154512417772,
        4.736174594855182,
        4.736194677292592,
        4.736395501666692,
        4.736415584104102,
        4.736435666541512,
        4.736455748978923,
        4.736475831416332,
        4.736495913853742,
        4.736515996291152,
        4.7365360787285615,
        4.736556161165972,
        4.736576243603381,
        4.736596326040792,
        4.736616408478203,
        4.736636490915612,
        4.736656573353022,
        4.736676655790432,
        4.736696738227842,
        4.736716820665252,
        4.736736903102662,
        4.7367569855400715,
        4.736777067977481,
        4.736797150414892,
        4.736817232852302,
        4.736837315289712,
        4.736857397727122,
        4.736877480164531,
        4.736897562601942,
        4.736917645039352,
        4.736937727476762,
        4.736957809914172,
        4.736977892351581,
        4.736997974788992,
        4.737018057226402,
        4.737038139663811,
        4.737058222101222,
        4.737078304538631,
        4.737098386976041,
        4.737118469413452,
        4.737138551850861,
        4.737158634288272,
        4.737178716725682,
        4.7371987991630915,
        4.737218881600502,
        4.737238964037911,
        4.737259046475321,
        4.737279128912731,
        4.737299211350141,
        4.737319293787551,
        4.737339376224961,
        4.737359458662371,
        4.737379541099782,
        4.737399623537192,
        4.7374197059746015,
        4.737439788412011,
        4.737459870849421,
        4.73747995328683,
        4.737500035724241,
        4.737520118161651,
        4.737540200599061,
        4.737560283036471,
        4.737580365473881,
        4.737600447911292,
        4.737620530348702,
        4.737640612786111,
        4.737660695223521,
        4.73768077766093,
        4.73770086009834,
        4.737720942535751,
        4.73774102497316,
        4.737761107410572,
        4.737781189847981,
        4.737801272285391,
        4.737821354722802,
        4.737841437160211,
        4.737861519597621,
        4.7378816020350305,
        4.73790168447244,
        4.73792176690985,
        4.73794184934726,
        4.737961931784671,
        4.737982014222081,
        4.738002096659491,
        4.738022179096901,
        4.738042261534311,
        4.738062343971721,
        4.73808242640913,
        4.7381025088465405,
        4.73812259128395,
        4.73814267372136,
        4.738162756158771,
        4.738182838596181,
        4.738202921033591,
        4.738223003471001,
        4.73824308590841,
        4.738263168345821,
        4.738283250783231,
        4.73830333322064,
        4.7383234156580505,
        4.7383434980954595,
        4.738363580532871,
        4.738383662970281,
        4.73840374540769,
        4.738423827845101,
        4.73844391028251,
        4.73846399271992,
        4.738484075157331,
        4.73850415759474,
        4.73852424003215,
        4.7385443224695605,
        4.73856440490697,
        4.738584487344381,
        4.73860456978179,
        4.7386246522192,
        4.73864473465661,
        4.73866481709402,
        4.73868489953143,
        4.73870498196884,
        4.73872506440625,
        4.7387451468436605,
        4.7387652292810705,
        4.73878531171848,
        4.73880539415589,
        4.7388254765933,
        4.738845559030709,
        4.73886564146812,
        4.73888572390553,
        4.738905806342939,
        4.73908654827963,
        4.739106630717039,
        4.73912671315445,
        4.73914679559186,
        4.73916687802927,
        4.7391869604666805,
        4.73920704290409,
        4.7392271253414995,
        4.739247207778909,
        4.739267290216319,
        4.73934761996596,
        4.73936770240337,
        4.73938778484078,
        4.73940786727819,
        4.7394279497155996,
        4.739448032153009,
        4.739468114590419,
        4.739488197027829,
        4.739508279465238,
        4.73952836190265,
        4.739548444340059,
        4.73956852677747,
        4.73958860921488,
        4.739608691652289,
        4.7396287740897,
        4.739648856527109,
        4.739668938964519,
        4.739689021401929,
        4.739709103839339,
        4.73972918627675,
        4.73974926871416,
        4.739769351151569,
        4.73978943358898,
        4.739809516026389,
        4.739829598463799,
        4.73984968090121,
        4.739869763338619,
        4.739889845776029,
        4.739909928213439,
        4.739930010650849,
        4.73995009308826,
        4.739970175525669,
        4.739990257963079,
        4.740010340400489,
        4.740030422837899,
        4.740050505275309,
        4.740070587712719,
        4.740090670150129,
        4.740110752587539,
        4.740130835024949,
        4.740150917462359,
        4.740170999899769,
        4.740191082337179,
        4.740211164774588,
        4.740231247211999,
        4.740251329649409,
        4.740271412086818,
        4.740291494524229,
        4.740311576961639,
        4.740331659399049,
        4.740351741836459,
        4.740371824273868,
        4.740391906711279,
        4.740411989148688,
        4.7405726486479685,
        4.740592731085378,
        4.740612813522788,
        4.740632895960198,
        4.740652978397608,
        4.740673060835018,
        4.740693143272429,
        4.740713225709838,
        4.740733308147249,
        4.740753390584659,
        4.7407734730220685,
        4.7407935554594784,
        4.7408136378968875,
        4.740833720334298,
        4.740853802771708,
        4.740873885209117,
        4.740893967646529,
        4.740914050083938,
        4.740934132521349,
        4.740954214958759,
        4.740974297396168,
        4.7409943798335785,
        4.7410144622709876,
        4.7410345447083975,
        4.741054627145808,
        4.741074709583218,
        4.741094792020628,
        4.741114874458038,
        4.741134956895448,
        4.741155039332859,
        4.741175121770268,
        4.741195204207678,
        4.741215286645088,
        4.7412353690824975,
        4.7412554515199075,
        4.741275533957318,
        4.741295616394728,
        4.741315698832137,
        4.741335781269548,
        4.741355863706958,
        4.741375946144368,
        4.741396028581778,
        4.741416111019187,
        4.741436193456598,
        4.7414562758940075,
        4.7414763583314175,
        4.741496440768828,
        4.741516523206238,
        4.741536605643648,
        4.741556688081058,
        4.741576770518467,
        4.741596852955878,
        4.741616935393288,
        4.741637017830697,
        4.7416571002681085,
        4.7416771827055175,
        4.741697265142927,
        4.741717347580338,
        4.741737430017747,
        4.741757512455158,
        4.741777594892567,
        4.741797677329977,
        4.741817759767388,
        4.741837842204797,
        4.741857924642208,
        4.741878007079618,
        4.7418980895170275,
        4.741918171954437,
        4.741938254391847,
        4.741958336829257,
        4.741978419266667,
        4.741998501704077,
        4.742018584141487,
        4.742038666578897,
        4.742058749016308,
        4.742078831453717,
        4.742098913891128,
        4.7421189963285375,
        4.742139078765947,
        4.745412516063775,
        4.748766283111242,
        4.748786365548652,
        4.748806447986061,
        4.748826530423472,
        4.748846612860881,
        4.748866695298291,
        4.748886777735702,
        4.748906860173111,
        4.748926942610522,
        4.748947025047931,
        4.748967107485341,
        4.748987189922752,
        4.749007272360161,
        4.749027354797571,
        4.749047437234981,
        4.7490675196723915,
        4.749087602109801,
        4.749107684547211,
        4.749127766984621,
        4.749147849422031,
        4.749167931859441,
        4.749188014296851,
        4.749208096734261,
        4.749228179171671,
        4.749248261609081,
        4.749268344046492,
        4.7492884264839015,
        4.749308508921311,
        4.749328591358721,
        4.74934867379613,
        4.749368756233541,
        4.749388838670951,
        4.74940892110836,
        4.749429003545771,
        4.749449085983182,
        4.749469168420591,
        4.7494892508580016,
        4.749509333295411,
        4.749529415732821,
        4.749549498170231,
        4.74956958060764,
        4.749589663045051,
        4.74960974548246,
        4.74962982791987,
        4.749649910357282,
        4.749669992794691,
        4.749690075232101,
        4.749710157669511,
        4.749730240106921,
        4.749750322544331,
        4.74977040498174,
        4.74979048741915,
        4.74981056985656,
        4.749830652293971,
        4.749850734731381,
        4.749870817168791,
        4.749890899606201,
        4.749910982043611,
        4.749931064481021,
        4.749951146918431,
        4.7499712293558405,
        4.74999131179325,
        4.750011394230659,
        4.750031476668071,
        4.750051559105481,
        4.75007164154289,
        4.750091723980301,
        4.75011180641771,
        4.750131888855121,
        4.750151971292531,
        4.75017205372994,
        4.7501921361673505,
        4.7502122186047595,
        4.75023230104217,
        4.750252383479581,
        4.75027246591699,
        4.7502925483544,
        4.75031263079181,
        4.75033271322922,
        4.750352795666631,
        4.75037287810404,
        4.75039296054145,
        4.75041304297886,
        4.75043312541627,
        4.75045320785368,
        4.75047329029109,
        4.7504933727285,
        4.75051345516591,
        4.75053353760332,
        4.75055362004073,
        4.75057370247814,
        4.75059378491555,
        4.75061386735296,
        4.7506339497903705,
        4.75065403222778,
        4.750674114665189,
        4.7506941971026,
        4.750714279540009,
        4.75073436197742,
        4.75075444441483,
        4.750774526852239,
        4.75079460928965,
        4.75081469172706,
        4.75083477416447,
        4.7508548566018804,
        4.7508749390392895,
        4.750895021476699,
        4.750915103914109,
        4.750935186351519,
        4.75095526878893,
        4.750975351226339,
        4.750995433663749,
        4.75101551610116,
        4.75103559853857,
        4.75105568097598,
        4.7510757634133896,
        4.7510958458507995,
        4.751115928288209,
        4.751136010725619,
        4.751156093163029,
        4.751176175600439,
        4.751196258037849,
        4.75121634047526,
        4.75123642291267,
        4.75125650535008,
        4.751276587787489,
        4.7512966702248995,
        4.7513167526623095,
        4.751336835099719,
        4.751356917537129,
        4.751376999974538,
        4.75139708241195,
        4.75141716484936,
        4.751437247286769,
        4.75145732972418,
        4.751477412161589,
        4.751497494598999,
        4.7515175770364095,
        4.751537659473819,
        4.751557741911229,
        4.751577824348638,
        4.751597906786049,
        4.75161798922346,
        4.751638071660869,
        4.751658154098279,
        4.751678236535689,
        4.751698318973099,
        4.75171840141051,
        4.751738483847919,
        4.7517585662853286,
        4.751778648722739,
        4.751798731160149,
        4.751818813597559,
        4.751838896034969,
        4.751858978472379,
        4.751879060909788,
        4.751899143347199,
        4.751919225784609,
        4.751939308222019,
        4.751959390659429,
        4.7519794730968385,
        4.751999555534249,
        4.752019637971659,
        4.752039720409068,
        4.752059802846479,
        4.752079885283888,
        4.752099967721298,
        4.752120050158709,
        4.752140132596118,
        4.752160215033529,
        4.752180297470939,
        4.7522003799083485,
        4.752220462345759,
        4.752240544783168,
        4.752260627220578,
        4.752280709657988,
        4.752300792095398,
        4.752320874532809,
        4.752340956970218,
        4.752361039407628,
        4.752381121845039,
        4.752401204282449,
        4.7524212867198585,
        4.7524413691572684,
        4.752461451594678,
        4.752481534032087,
        4.752501616469498,
        4.752521698906908,
        4.752541781344318,
        4.752561863781729,
        4.752581946219138,
        4.752602028656549,
        4.752622111093959,
        4.752642193531368,
        4.752662275968778,
        4.7526823584061875,
        4.752702440843598,
        4.752722523281008,
        4.752742605718417,
        4.752762688155829,
        4.752782770593239,
        4.752802853030648,
        4.752822935468059,
        4.752843017905468,
        4.752863100342878,
        4.752883182780288,
        4.7529032652176975,
        4.752923347655108,
        4.752943430092517,
        4.752963512529928,
        4.752983594967339,
        4.753003677404748,
        4.753023759842158,
        4.753043842279568,
        4.753063924716978,
        4.753084007154388,
        4.7531040895917975,
        4.7531241720292075,
        4.753144254466618,
        4.753164336904028,
        4.753184419341438,
        4.753204501778848,
        4.753224584216258,
        4.753244666653667,
        4.753264749091078,
        4.753284831528488,
        4.753304913965898,
        4.7533249964033075,
        4.753345078840717,
        4.753365161278128,
        4.753385243715538,
        4.753405326152947,
        4.753425408590358,
        4.753445491027767,
        4.753465573465177,
        4.753485655902588,
        4.753505738339997,
        4.753525820777408,
        4.7535459032148175,
        4.753565985652227,
        4.753586068089638,
        4.753606150527047,
        4.753626232964457,
        4.753646315401867,
        4.753666397839277,
        4.753686480276687,
        4.753706562714097,
        4.753726645151508,
        4.753746727588918,
        4.7537668100263275,
        4.753786892463737,
        4.753806974901147,
        4.753827057338557,
        4.753847139775966,
        4.753867222213377,
        4.753887304650787,
        4.753907387088197,
        4.753927469525608,
        4.753947551963017,
        4.753967634400428,
        4.7539877168378375,
        4.7540077992752465,
        4.754027881712657,
        4.754047964150066,
        4.754068046587476,
        4.754088129024887,
        4.754108211462296,
        4.754128293899708,
        4.754148376337117,
        4.754168458774527,
        4.754188541211938,
        4.754208623649347,
        4.7542287060867565,
        4.754248788524166,
        4.754268870961576,
        4.754288953398986,
        4.754309035836396,
        4.754329118273807,
        4.754349200711218,
        4.754369283148627,
        4.754389365586037,
        4.754409448023447,
        4.754429530460857,
        4.7544496128982665,
        4.754469695335676,
        4.754489777773086,
        4.754509860210497,
        4.754529942647907,
        4.754550025085317,
        4.754570107522727,
        4.754590189960137,
        4.754610272397546,
        4.754630354834957,
        4.754650437272367,
        4.754670519709776,
        4.754690602147186,
        4.754710684584596,
        4.754730767022007,
        4.754750849459417,
        4.754770931896826,
        4.754791014334237,
        4.754811096771646,
        4.754831179209056,
        4.755011921145746,
        4.755032003583156,
        4.755052086020566,
        4.755072168457976,
        4.755092250895387,
        4.7551123333327965,
        4.755132415770206,
        4.755152498207616,
        4.755172580645026,
        4.755192663082436,
        4.755212745519845,
        4.755232827957256,
        4.755252910394666,
        4.755272992832075,
        4.755293075269487,
        4.755313157706896,
        4.7553332401443065,
        4.755353322581716,
        4.755373405019125,
        4.755393487456536,
        4.755413569893945,
        4.755433652331355,
        4.755453734768766,
        4.755473817206175,
        4.755493899643586,
        4.755513982080996,
        4.755534064518406,
        4.7555541469558165,
        4.7555742293932255,
        4.755594311830635,
        4.755614394268045,
        4.755634476705455,
        4.755654559142865,
        4.755674641580276,
        4.755694724017686,
        4.755714806455096,
        4.755734888892506,
        4.755754971329916,
        4.755775053767326,
        4.7557951362047355,
        4.7558152186421445,
        4.755835301079555,
        4.755855383516965,
        4.755875465954375,
        4.755895548391786,
        4.755915630829195,
        4.755935713266606,
        4.755955795704016,
        4.755975878141425,
        4.755995960578836,
        4.756016043016245,
        4.7560361254536545,
        4.756056207891065,
        4.756076290328475,
        4.756096372765886,
        4.756116455203296,
        4.756136537640705,
        4.756156620078116,
        4.756176702515525,
        4.756196784952935,
        4.7562168673903455,
        4.756236949827755,
        4.7562570322651645,
        4.756277114702575,
        4.756297197139985,
        4.756317279577396,
        4.756337362014805,
        4.756357444452215,
        4.756377526889625,
        4.756397609327035,
        4.756417691764445,
        4.756437774201855,
        4.7564578566392655,
        4.7564779390766745,
        4.756498021514085,
        4.756518103951495,
        4.756538186388905,
        4.756558268826315,
        4.756578351263724,
        4.756598433701135,
        4.756618516138545,
        4.756638598575954,
        4.7566586810133655,
        4.756678763450775,
        4.756698845888185,
        4.756718928325595,
        4.756739010763004,
        4.756759093200415,
        4.756779175637824,
        4.756799258075234,
        4.756819340512645,
        4.756839422950055,
        4.756859505387465,
        4.756879587824875,
        4.7568996702622846,
        4.756919752699695,
        4.756939835137104,
        4.756959917574514,
        4.756980000011924,
        4.757000082449334,
        4.757020164886744,
        4.757040247324155,
        4.757060329761565,
        4.757080412198974,
        4.757100494636385,
        4.7571205770737945,
        4.7571406595112045,
        4.757160741948614,
        4.757180824386023,
        4.757200906823434,
        4.757220989260844,
        4.757241071698254,
        4.757261154135665,
        4.757281236573074,
        4.757301319010485,
        4.757321401447895,
        4.757341483885304,
        4.7573615663227145,
        4.7573816487601235,
        4.757401731197533,
        4.757421813634944,
        4.757441896072354,
        4.757461978509764,
        4.757482060947174,
        4.757502143384584,
        4.757522225821995,
        4.757542308259404,
        4.757562390696814,
        4.7575824731342236,
        4.7576025555716335,
        4.757622638009044,
        4.757642720446454,
        4.757662802883864,
        4.757682885321274,
        4.757702967758684,
        4.757723050196094,
        4.757743132633504,
        4.757763215070914,
        4.757783297508324,
        4.7578033799457335,
        4.757823462383144,
        4.757843544820553,
        4.757863627257964,
        4.757883709695374,
        4.757903792132784,
        4.757923874570194,
        4.757943957007603,
        4.757964039445014,
        4.757984121882424,
        4.758004204319833,
        4.758024286757244,
        4.7580443691946535,
        4.758064451632063,
        4.758084534069474,
        4.758104616506883,
        4.758124698944294,
        4.758144781381703,
        4.758164863819113,
        4.758184946256524,
        4.758205028693933,
        4.758225111131344,
        4.7582451935687535,
        4.7582652760061634,
        4.758285358443573,
        4.758305440880983,
        4.758325523318393,
        4.758345605755803,
        4.758365688193213,
        4.758385770630623,
        4.758405853068034,
        4.758425935505444,
        4.758446017942853,
        4.7584661003802635,
        4.758486182817673,
        4.758506265255083,
        4.758526347692493,
        4.758586595004723,
        4.758606677442133,
        4.758666924754363,
        4.7586870071917735,
        4.7587070896291825,
        4.758727172066593,
        4.758747254504002,
        4.758767336941412,
        4.758787419378823,
        4.758807501816233,
        4.758827584253643,
        4.758847666691053,
        4.758867749128463,
        4.758887831565873,
        4.758907914003283,
        4.7589279964406925,
        4.7589480788781025,
        4.758968161315512,
        4.758988243752923,
        4.759008326190333,
        4.759028408627743,
        4.759048491065152,
        4.759068573502563,
        4.759088655939973,
        4.759108738377383,
        4.759128820814793,
        4.759148903252202,
        4.759168985689612,
        4.759189068127023,
        4.759209150564432,
        4.759229233001843,
        4.759249315439253,
        4.759269397876662,
        4.759289480314073,
        4.759309562751482,
        4.759329645188893,
        4.759349727626303,
        4.759369810063712,
        4.759389892501123,
        4.759409974938532,
        4.759430057375942,
        4.759450139813353,
        4.759470222250762,
        4.759490304688173,
        4.759510387125582,
        4.759530469562992,
        4.759550552000403,
        4.759570634437813,
        4.7595907168752225,
        4.759610799312632,
        4.759630881750042,
        4.759650964187452,
        4.759671046624862,
        4.759691129062272,
        4.759711211499682,
        4.759731293937092,
        4.759751376374502,
        4.759771458811913,
        4.759791541249323,
        4.759811623686732,
        4.759831706124142,
        4.759851788561552,
        4.759871870998961,
        4.759891953436372,
        4.759912035873781,
        4.759932118311192,
        4.759952200748602,
        4.759972283186012,
        4.759992365623423,
        4.760012448060832,
        4.760032530498242,
        4.760052612935652,
        4.760072695373061,
        4.760092777810472,
        4.760112860247881,
        4.760132942685291,
        4.760153025122703,
        4.760173107560112,
        4.760193189997522,
        4.760213272434932,
        4.760233354872342,
        4.760253437309752,
        4.7602735197471615,
        4.760293602184571,
        4.760313684621981,
        4.760333767059391,
        4.760353849496802,
        4.760373931934212,
        4.760394014371622,
        4.760414096809031,
        4.760434179246442,
        4.760454261683852,
        4.760474344121261,
        4.7604944265586715,
        4.7605145089960805,
        4.760534591433491,
        4.760554673870902,
        4.760574756308311,
        4.760594838745722,
        4.760614921183131,
        4.760635003620541,
        4.760655086057952,
        4.760675168495361,
        4.760695250932772,
        4.760715333370181,
        4.760735415807591,
        4.760755498245002,
        4.760775580682411,
        4.760795663119821,
        4.760815745557231,
        4.760835827994641,
        4.760855910432051,
        4.760875992869461,
        4.760896075306871,
        4.760916157744281,
        4.7609362401816915,
        4.760956322619101,
        4.760976405056511,
        4.760996487493921,
        4.761016569931331,
        4.761036652368741,
        4.761056734806151,
        4.76107681724356,
        4.761096899680971,
        4.761116982118381,
        4.7611370645557916,
        4.7611571469932015,
        4.7611772294306105,
        4.761197311868021,
        4.761217394305431,
        4.76123747674284,
        4.76143830111694,
        4.76145838355435,
        4.76147846599176,
        4.76149854842917,
        4.761518630866582,
        4.761538713303991,
        4.761558795741401,
        4.761578878178811,
        4.761598960616221,
        4.7616190430536305,
        4.76163912549104,
        4.76165920792845,
        4.761679290365859,
        4.76169937280327,
        4.761719455240681,
        4.761739537678091,
        4.761759620115501,
        4.76177970255291,
        4.761799784990321,
        4.761819867427731,
        4.76183994986514,
        4.76186003230255,
        4.761880114739959,
        4.76190019717737,
        4.761920279614781,
        4.76194036205219,
        4.761960444489601,
        4.76198052692701,
        4.76200060936442,
        4.762020691801831,
        4.76204077423924,
        4.76206085667665,
        4.7620809391140595,
        4.76210102155147,
        4.762121103988881,
        4.76214118642629,
        4.7621612688637,
        4.76218135130111,
        4.76220143373852,
        4.76222151617593,
        4.76224159861334,
        4.76226168105075,
        4.762281763488159,
        4.76230184592557,
        4.76232192836298,
        4.76234201080039,
        4.7623620932378,
        4.762382175675209,
        4.76240225811262,
        4.76242234055003,
        4.762442422987439,
        4.76246250542485,
        4.762482587862259,
        4.7625026702996704,
        4.76252275273708,
        4.762542835174489,
        4.7625629176119,
        4.76258300004931,
        4.762603082486719,
        4.76262316492413,
        4.762643247361539,
        4.762663329798949,
        4.762683412236361,
        4.76270349467377,
        4.76272357711118,
        4.7627436595485895,
        4.762763741985999,
        4.76278382442341,
        4.762803906860819,
        4.762823989298229,
        4.762844071735639,
        4.762864154173049,
        4.762884236610461,
        4.76290431904787,
        4.76292440148528,
        4.7629444839226895,
        4.7629645663600995,
        4.762984648797509,
        4.763004731234919,
        4.763024813672329,
        4.763044896109738,
        4.763064978547149,
        4.76308506098456,
        4.76310514342197,
        4.76312522585938,
        4.763145308296789,
        4.7631653907341995,
        4.7631854731716095,
        4.7632055556090185,
        4.763225638046429,
        4.763245720483838,
        4.763265802921248,
        4.76328588535866,
        4.763305967796069,
        4.76332605023348,
        4.763346132670889,
        4.763366215108299,
        4.7633862975457095,
        4.7634063799831186,
        4.7634264624205285,
        4.763446544857938,
        4.763466627295349,
        4.76348670973276,
        4.763506792170169,
        4.763526874607579,
        4.763546957044989,
        4.763567039482399,
        4.763587121919809,
        4.763607204357219,
        4.7636272867946285,
        4.763647369232038,
        4.763667451669449,
        4.763687534106859,
        4.763707616544269,
        4.763727698981679,
        4.763747781419088,
        4.763767863856499,
        4.763787946293909,
        4.763808028731318,
        4.763828111168729,
        4.763848193606138,
        4.7638682760435485,
        4.763888358480959,
        4.763908440918368,
        4.763928523355779,
        4.763948605793188,
        4.763968688230598,
        4.763988770668009,
        4.764008853105418,
        4.764028935542828,
        4.7640490179802395,
        4.7640691004176485,
        4.764089182855059,
        4.764109265292468,
        4.764129347729878,
        4.764149430167289,
        4.764169512604698,
        4.764189595042108,
        4.764209677479518,
        4.764229759916928,
        4.764249842354339,
        4.764269924791749,
        4.7642900072291585,
        4.764310089666568,
        4.764330172103978,
        4.764490831603259,
        4.764510914040668,
        4.764530996478078,
        4.764551078915488,
        4.764571161352897,
        4.764591243790308,
        4.764611326227717,
        4.764631408665128,
        4.764651491102539,
        4.764671573539948,
        4.764691655977359,
        4.764711738414768,
        4.764731820852178,
        4.764751903289588,
        4.7647719857269974,
        4.764792068164407,
        4.764812150601817,
        4.764832233039228,
        4.764852315476638,
        4.764872397914048,
        4.764892480351458,
        4.764912562788868,
        4.764932645226278,
        4.764952727663688,
        4.7649728101010975,
        4.764992892538507,
        4.7650129749759165,
        4.765033057413328,
        4.765053139850738,
        4.765073222288147,
        4.765093304725558,
        4.765113387162967,
        4.765133469600378,
        4.765153552037788,
        4.765173634475197,
        4.7651937169126075,
        4.7652137993500165,
        4.765233881787427,
        4.765253964224838,
        4.765274046662247,
        4.765294129099658,
        4.765314211537067,
        4.765334293974477,
        4.765354376411888,
        4.765374458849297,
        4.765394541286707,
        4.7654146237241175,
        4.765434706161527,
        4.765454788598937,
        4.765474871036347,
        4.765494953473757,
        4.765515035911167,
        4.765535118348577,
        4.765555200785987,
        4.765575283223397,
        4.765595365660807,
        4.765615448098217,
        4.7656355305356275,
        4.765655612973037,
        4.765675695410447,
        4.765695777847857,
        4.765715860285266,
        4.765735942722677,
        4.765756025160087,
        4.765776107597496,
        4.765796190034907,
        4.765816272472318,
        4.765836354909727,
        4.766017096846418,
        4.766037179283827,
        4.766057261721237,
        4.766077344158647,
        4.7660974265960565,
        4.766117509033467,
        4.766137591470876,
        4.766157673908286,
        4.766177756345696,
        4.766258086095337,
        4.766278168532747,
        4.766298250970157,
        4.7663183334075665,
        4.766338415844976,
        4.766358498282386,
        4.766378580719795,
        4.766398663157207,
        4.766418745594617,
        4.766438828032026,
        4.766458910469437,
        4.766478992906846,
        4.766499075344257,
        4.766519157781667,
        4.766539240219076,
        4.766559322656486,
        4.766579405093896,
        4.766599487531306,
        4.766619569968717,
        4.766639652406126,
        4.766659734843536,
        4.766679817280946,
        4.766699899718356,
        4.766719982155767,
        4.766740064593176,
        4.766760147030586,
        4.766780229467996,
        4.766800311905406,
        4.766820394342816,
        4.766840476780226,
        4.766860559217636,
        4.766880641655046,
        4.766900724092456,
        4.766920806529866,
        4.766940888967276,
        4.766960971404686,
        4.766981053842096,
        4.767001136279506,
        4.767021218716916,
        4.767041301154325,
        4.767061383591736,
        4.767081466029145,
        4.767101548466556,
        4.767121630903966,
        4.767141713341375,
        4.767161795778787,
        4.767181878216196,
        4.767201960653606,
        4.767222043091016,
        4.767242125528425,
        4.767262207965835,
        4.767422867465116,
        4.7674429499025255,
        4.767463032339935,
        4.767483114777346,
        4.767503197214755,
        4.767523279652165,
        4.767543362089575,
        4.767563444526986,
        4.767583526964396,
        4.767603609401806,
        4.767623691839216,
        4.767643774276625,
        4.7676638567140355,
        4.767683939151445,
        4.767704021588855,
        4.767724104026265,
        4.767744186463675,
        4.767764268901086,
        4.767784351338496,
        4.767804433775905,
        4.767824516213316,
        4.767844598650725,
        4.767864681088135,
        4.7678847635255455,
        4.7679048459629545,
        4.767924928400365,
        4.767945010837775,
        4.767965093275185,
        4.767985175712596,
        4.768005258150005,
        4.768025340587415,
        4.768045423024825,
        4.768065505462235,
        4.7680855878996455,
        4.768105670337055,
        4.7681257527744645,
        4.768145835211875,
        4.768165917649285,
        4.768186000086695,
        4.768386824460795,
        4.768406906898204,
        4.768426989335615,
        4.768447071773024,
        4.768467154210434,
        4.768487236647845,
        4.768507319085254,
        4.7685274015226655,
        4.7685474839600746,
        4.7685675663974845,
        4.768587648834895,
        4.768607731272304,
        4.768627813709714,
        4.768647896147124,
        4.768667978584534,
        4.768688061021945,
        4.768708143459354,
        4.768728225896765,
        4.768748308334175,
        4.7687683907715845,
        4.7687884732089945,
        4.768808555646404,
        4.768828638083814,
        4.768848720521223,
        4.768868802958634,
        4.768888885396044,
        4.768908967833454,
        4.769260410488128,
        4.769732347767264,
        4.769752430204674,
        4.769772512642083,
        4.769792595079494,
        4.769812677516903,
        4.769832759954313,
        4.769852842391724,
        4.769872924829133,
        4.769893007266544,
        4.7699130897039534,
        4.769933172141363,
        4.769953254578774,
        4.769973337016183,
        4.769993419453593,
        4.770013501891003,
        4.770033584328413,
        4.770053666765823,
        4.770073749203233,
        4.770093831640644,
        4.7701139140780535,
        4.770133996515463,
        4.770154078952873,
        4.770174161390283,
        4.770194243827693,
        4.770214326265102,
        4.770234408702513,
        4.770254491139923,
        4.770274573577333,
        4.770294656014744,
        4.770314738452153,
        4.7703348208895635,
        4.770354903326973,
        4.7703749857643825,
        4.770395068201793,
        4.770415150639202,
        4.770435233076612,
        4.770455315514023,
        4.770475397951433,
        4.770495480388844,
        4.770515562826253,
        4.770535645263663,
        4.7705557277010735,
        4.7705758101384825,
        4.7705958925758924,
        4.770615975013302,
        4.770636057450712,
        4.770656139888122,
        4.770676222325533,
        4.770696304762943,
        4.770716387200354,
        4.770736469637763,
        4.770756552075173,
        4.770776634512583,
        4.7707967169499925,
        4.770816799387402,
        4.770836881824812,
        4.770856964262222,
        4.770877046699633,
        4.770897129137043,
        4.770917211574453,
        4.770937294011863,
        4.770957376449273,
        4.770977458886682,
        4.770997541324093,
        4.7710176237615025,
        4.7710377061989115,
        4.771057788636323,
        4.771077871073732,
        4.771097953511143,
        4.771118035948553,
        4.771138118385962,
        4.771158200823373,
        4.771178283260782,
        4.771198365698192,
        4.771218448135603,
        4.771238530573012,
        4.771258613010422,
        4.771278695447832,
        4.771298777885242,
        4.771318860322653,
        4.771338942760062,
        4.771359025197472,
        4.771379107634882,
        4.771399190072292,
        4.771419272509702,
        4.771439354947112,
        4.7714594373845225,
        4.771479519821932,
        4.771499602259342,
        4.771519684696752,
        4.771539767134162,
        4.771559849571572,
        4.771579932008981,
        4.771600014446392,
        4.771620096883802,
        4.771640179321212,
        4.771660261758623,
        4.771680344196032,
        4.771700426633442,
        4.771720509070852,
        4.771740591508261,
        4.771760673945672,
        4.771780756383081,
        4.771800838820491,
        4.771820921257902,
        4.771841003695312,
        4.771861086132722,
        4.771881168570132,
        4.771901251007542,
        4.771921333444952,
        4.771941415882361,
        4.771961498319771,
        4.771981580757181,
        4.772001663194591,
        4.772021745632001,
        4.772041828069412,
        4.772061910506822,
        4.772081992944232,
        4.772102075381642,
        4.772122157819052,
        4.7721422402564615,
        4.772162322693871,
        4.7721824051312804,
        4.772202487568691,
        4.772222570006101,
        4.772242652443511,
        4.772262734880922,
        4.772282817318332,
        4.772302899755742,
        4.772322982193152,
        4.772343064630561,
        4.7723631470679715,
        4.772383229505381,
        4.77240331194279,
        4.772423394380202,
        4.772443476817611,
        4.772463559255022,
        4.772483641692432,
        4.772503724129841,
        4.772523806567252,
        4.772543889004661,
        4.772563971442071,
        4.7725840538794815,
        4.7726041363168905,
        4.772624218754301,
        4.772644301191711,
        4.772664383629121,
        4.772684466066532,
        4.772704548503941,
        4.772724630941351,
        4.772744713378761,
        4.772764795816171,
        4.772784878253581,
        4.772804960690991,
        4.772825043128401,
        4.77284512556581,
        4.772865208003221,
        4.772885290440631,
        4.772905372878041,
        4.772925455315451,
        4.77294553775286,
        4.772965620190271,
        4.772985702627681,
        4.773005785065091,
        4.7730258675025015,
        4.7730459499399105,
        4.773066032377321,
        4.773086114814731,
        4.77310619725214,
        4.773126279689551,
        4.77314636212696,
        4.77316644456437,
        4.773186527001781,
        4.773206609439191,
        4.773226691876601,
        4.773246774314011,
        4.7732668567514205,
        4.773286939188831,
        4.77330702162624,
        4.77332710406365,
        4.77334718650106,
        4.77336726893847,
        4.77338735137588,
        4.773407433813291,
        4.773427516250701,
        4.77344759868811,
        4.773467681125521,
        4.7734877635629305,
        4.77350784600034,
        4.77352792843775,
        4.773548010875159,
        4.77356809331257,
        4.773588175749981,
        4.77360825818739,
        4.773628340624801,
        4.77364842306221,
        4.773668505499621,
        4.7736885879370305,
        4.77370867037444,
        4.77372875281185,
        4.773748835249259,
        4.773768917686669,
        4.773789000124081,
        4.77380908256149,
        4.7738291649989,
        4.773849247436311,
        4.77386932987372,
        4.773889412311131,
        4.77409023668523,
        4.77411031912264,
        4.77413040156005,
        4.77415048399746,
        4.7741705664348695,
        4.77419064887228,
        4.774210731309689,
        4.7742308137471,
        4.77425089618451,
        4.77427097862192,
        4.77429106105933,
        4.774311143496739,
        4.77433122593415,
        4.77435130837156,
        4.7743713908089696,
        4.77439147324638,
        4.774411555683789,
        4.774431638121199,
        4.77445172055861,
        4.774471802996019,
        4.77449188543343,
        4.774511967870839,
        4.774532050308249,
        4.77455213274566,
        4.77457221518307,
        4.7745922976204795,
        4.7746123800578895,
        4.774632462495299,
        4.774652544932709,
        4.774672627370119,
        4.774692709807529,
        4.774712792244939,
        4.774732874682349,
        4.774752957119759,
        4.77477303955717,
        4.77479312199458,
        4.774813204431989,
        4.7748332868693995,
        4.774853369306809,
        4.774873451744219,
        4.774893534181629,
        4.774913616619038,
        4.774933699056449,
        4.77495378149386,
        4.774973863931269,
        4.77499394636868,
        4.775014028806089,
        4.775034111243499,
        4.775054193680909,
        4.7750742761183185,
        4.775094358555729,
        4.775114440993138,
        4.775134523430548,
        4.77515460586796,
        4.775174688305369,
        4.775194770742779,
        4.775214853180189,
        4.775234935617599,
        4.775255018055009,
        4.7752751004924185,
        4.7752951829298285,
        4.775315265367238,
        4.775335347804648,
        4.775355430242059,
        4.775375512679469,
        4.775395595116879,
        4.775415677554288,
        4.775435759991699,
        4.775455842429109,
        4.775475924866519,
        4.7754960073039285,
        4.775516089741338,
        4.775536172178749,
        4.775556254616159,
        4.775576337053568,
        4.775596419490979,
        4.775616501928389,
        4.775636584365798,
        4.775656666803209,
        4.775676749240618,
        4.775696831678029,
        4.7757169141154385,
        4.7757369965528484,
        4.775757078990259,
        4.775777161427668,
        4.775797243865078,
        4.775817326302489,
        4.775837408739898,
        4.775857491177309,
        4.775877573614718,
        4.775897656052128,
        4.775917738489539,
        4.7759378209269485,
        4.775957903364358,
        4.775977985801768,
        4.775998068239178,
        4.776018150676588,
        4.776038233113998,
        4.776058315551408,
        4.776078397988818,
        4.776098480426228,
        4.776118562863638,
        4.776138645301049,
        4.7761587277384585,
        4.7761788101758675,
        4.776198892613278,
        4.776218975050688,
        4.776239057488097,
        4.776259139925508,
        4.776279222362917,
        4.776299304800328,
        4.776319387237739,
        4.776339469675148,
        4.776359552112559,
        4.776379634549968,
        4.7763997169873775,
        4.776419799424788,
        4.776439881862197,
        4.776459964299608,
        4.776480046737017,
        4.776500129174427,
        4.776520211611839,
        4.776540294049248,
        4.776560376486658,
        4.776580458924068,
        4.776600541361478,
        4.7766206237988875,
        4.776640706236297,
        4.776660788673707,
        4.776680871111117,
        4.776700953548527,
        4.776721035985938,
        4.776741118423348,
        4.776761200860758,
        4.776781283298167,
        4.776801365735578,
        4.776821448172988,
        4.776841530610397,
        4.776861613047807,
        4.7768816954852165,
        4.776901777922628,
        4.776921860360038,
        4.776941942797447,
        4.776962025234858,
        4.776982107672267,
        4.777002190109677,
        4.777022272547088,
        4.777042354984497,
        4.7775042510449275,
        4.777524333482337,
        4.777544415919746,
        4.777564498357157,
        4.777584580794567,
        4.777604663231976,
        4.777624745669387,
        4.777644828106796,
        4.777664910544207,
        4.777684992981618,
        4.777705075419027,
        4.7777251578564375,
        4.7777452402938465,
        4.777765322731256,
        4.777785405168667,
        4.777805487606076,
        4.777825570043486,
        4.777845652480896,
        4.777865734918306,
        4.777885817355718,
        4.777905899793127,
        4.777925982230537,
        4.777946064667947,
        4.7779661471053565,
        4.777986229542766,
        4.778006311980176,
        4.778026394417586,
        4.778046476854995,
        4.778066559292407,
        4.778086641729817,
        4.778106724167227,
        4.778126806604637,
        4.778146889042046,
        4.778166971479457,
        4.7781870539168665,
        4.7782071363542755,
        4.778227218791686,
        4.778247301229095,
        4.778267383666507,
        4.778287466103917,
        4.778307548541326,
        4.778327630978737,
        4.778347713416146,
        4.778367795853556,
        4.778387878290967,
        4.778407960728376,
        4.7784280431657855,
        4.778448125603195,
        4.778468208040606,
        4.778488290478017,
        4.778508372915426,
        4.778528455352836,
        4.778548537790246,
        4.778568620227656,
        4.778588702665066,
        4.778608785102476,
        4.778628867539886,
        4.778648949977296,
        4.778669032414706,
        4.778689114852116,
        4.778709197289526,
        4.778729279726936,
        4.778749362164346,
        4.778769444601756,
        4.778789527039166,
        4.778809609476575,
        4.778829691913986,
        4.7788497743513965,
        4.778869856788806,
        4.778889939226216,
        4.778910021663625,
        4.778930104101036,
        4.778950186538446,
        4.778970268975855,
        4.778990351413266,
        4.779010433850675,
        4.779030516288085,
        4.7790505987254965,
        4.779070681162906,
        4.779090763600316,
        4.779110846037725,
        4.779130928475135,
        4.779151010912546,
        4.779171093349955,
        4.779191175787365,
        4.779211258224775,
        4.779231340662185,
        4.779251423099597,
        4.779271505537006,
        4.779291587974416,
        4.7793116704118255,
        4.779331752849235,
        4.779351835286645,
        4.779371917724055,
        4.779392000161465,
        4.779412082598874,
        4.779432165036286,
        4.779452247473696,
        4.779472329911106,
        4.779492412348516,
        4.779512494785925,
        4.7795325772233355,
        4.779552659660745,
        4.779572742098154,
        4.779592824535565,
        4.779612906972974,
        4.779632989410385,
        4.779653071847796,
        4.779673154285205,
        4.779693236722616,
        4.779713319160025,
        4.779733401597435,
        4.7797534840348455,
        4.7797735664722545,
        4.779793648909664,
        4.779813731347074,
        4.779833813784485,
        4.779853896221896,
        4.779873978659305,
        4.779894061096715,
        4.779914143534125,
        4.779934225971535,
        4.779954308408945,
        4.779974390846355,
        4.7799944732837645,
        4.780014555721174,
        4.780034638158585,
        4.780054720595995,
        4.780074803033405,
        4.780094885470815,
        4.780114967908224,
        4.780135050345635,
        4.780155132783045,
        4.780175215220454,
        4.7801952976578646,
        4.7802153800952745,
        4.780235462532684,
        4.780255544970095,
        4.780275627407504,
        4.780295709844915,
        4.780315792282324,
        4.780335874719734,
        4.780355957157145,
        4.780376039594554,
        4.780396122031964,
        4.780416204469375,
        4.7804362869067845,
        4.780456369344195,
        4.780476451781604,
        4.780496534219014,
        4.780516616656425,
        4.780536699093834,
        4.780556781531244,
        4.780576863968654,
        4.780596946406065,
        4.780617028843475,
        4.7806371112808845,
        4.7806571937182945,
        4.780918265404624,
        4.780938347842033,
        4.780958430279444,
        4.780978512716853,
        4.780998595154264,
        4.781018677591675,
        4.781038760029084,
        4.781058842466495,
        4.781078924903904,
        4.7810990073413135,
        4.781119089778724,
        4.781139172216133,
        4.781159254653543,
        4.781179337090953,
        4.781199419528364,
        4.781219501965774,
        4.781239584403184,
        4.781259666840594,
        4.781279749278004,
        4.781299831715414,
        4.7813199141528235,
        4.7813399965902335,
        4.781360079027643,
        4.781380161465053,
        4.781400243902464,
        4.781420326339874,
        4.781440408777283,
        4.781460491214694,
        4.781480573652103,
        4.781500656089514,
        4.781520738526924,
        4.781540820964333,
        4.7815609034017434,
        4.781580985839153,
        4.781601068276563,
        4.781621150713974,
        4.781641233151383,
        4.781661315588794,
        4.781681398026203,
        4.781701480463613,
        4.781721562901024,
        4.781741645338433,
        4.781761727775843,
        4.781781810213253,
        4.781801892650663,
        4.781821975088073,
        4.781842057525483,
        4.781862139962893,
        4.781882222400303,
        4.781902304837713,
        4.781922387275123,
        4.781942469712533,
        4.781962552149944,
        4.7819826345873535,
        4.782002717024763,
        4.782022799462173,
        4.782042881899583,
        4.782062964336993,
        4.782083046774403,
        4.782103129211813,
        4.782123211649223,
        4.782143294086632,
        4.782163376524044,
        4.782183458961454,
        4.782203541398863,
        4.782223623836273,
        4.7822437062736824,
        4.782263788711093,
        4.782283871148503,
        4.782303953585912,
        4.782324036023323,
        4.782344118460732,
        4.782364200898143,
        4.782384283335554,
        4.782404365772963,
        4.782424448210373,
        4.7824445306477825,
        4.782464613085192,
        4.782484695522603,
        4.782504777960012,
        4.782524860397422,
        4.782544942834833,
        4.782565025272243,
        4.782585107709653,
        4.782605190147063,
        4.782625272584473,
        4.782645355021883,
        4.7826654374592925,
        4.782685519896702,
        4.782705602334112,
        4.782725684771522,
        4.782745767208932,
        4.782765849646343,
        4.782785932083753,
        4.782806014521162,
        4.782826096958573,
        4.782846179395982,
        4.782866261833393,
        4.7828863442708025,
        4.7829064267082115,
        4.782926509145622,
        4.782946591583032,
        4.782966674020442,
        4.782986756457853,
        4.783006838895262,
        4.783026921332672,
        4.783047003770082,
        4.783067086207492,
        4.783087168644903,
        4.783107251082312,
        4.7831273335197215,
        4.783147415957132,
        4.783167498394542,
        4.783187580831952,
        4.783207663269362,
        4.783227745706772,
        4.783247828144182,
        4.783267910581592,
        4.783287993019002,
        4.783308075456412,
        4.7833281578938225,
        4.7833482403312315,
        4.783368322768642,
        4.783388405206052,
        4.783408487643461,
        4.783428570080872,
        4.783448652518281,
        4.783468734955692,
        4.783488817393102,
        4.783508899830511,
        4.783528982267923,
        4.7835490647053325,
        4.7835691471427415,
        4.783589229580152,
        4.783609312017561,
        4.783629394454971,
        4.783649476892382,
        4.783669559329791,
        4.783830218829071,
        4.783850301266482,
        4.783870383703891,
        4.783890466141301,
        4.783910548578712,
        4.783930631016122,
        4.783950713453532,
        4.783970795890942,
        4.783990878328352,
        4.784010960765761,
        4.784031043203171,
        4.784051125640581,
        4.784071208077991,
        4.784091290515401,
        4.784111372952811,
        4.784131455390222,
        4.784151537827632,
        4.784171620265041,
        4.784191702702452,
        4.784211785139861,
        4.784231867577271,
        4.784251950014681,
        4.78427203245209,
        4.784292114889501,
        4.784312197326911,
        4.784332279764321,
        4.784352362201732,
        4.784372444639141,
        4.784392527076551,
        4.784412609513961,
        4.784432691951371,
        4.7844527743887815,
        4.78483434069957,
        4.7853765665096395,
        4.78539664894705,
        4.78541673138446,
        4.78543681382187,
        4.78545689625928,
        4.78547697869669,
        4.785497061134101,
        4.785517143571511,
        4.78553722600892,
        4.7858183801326595,
        4.785838462570069,
        4.78591879231971,
        4.78593887475712,
        4.78595895719453,
        4.785979039631939,
        4.78599912206935,
        4.7860192045067596,
        4.7860392869441695,
        4.78605936938158,
        4.786079451818989,
        4.7860995342564,
        4.78611961669381,
        4.786139699131219,
        4.78615978156863,
        4.786179864006039,
        4.786199946443449,
        4.78622002888086,
        4.786240111318269,
        4.78626019375568,
        4.786280276193089,
        4.786300358630499,
        4.78632044106791,
        4.786340523505319,
        4.786360605942729,
        4.786380688380139,
        4.786400770817549,
        4.786420853254959,
        4.78644093569237,
        4.7864610181297795,
        4.7864811005671895,
        4.786501183004599,
        4.786521265442009,
        4.786541347879419,
        4.786561430316829,
        4.786581512754238,
        4.786601595191649,
        4.786621677629059,
        4.78664176006647,
        4.78666184250388,
        4.786681924941289,
        4.786702007378699,
        4.786722089816109,
        4.786742172253518,
        4.786762254690929,
        4.786782337128338,
        4.786802419565748,
        4.786822502003159,
        4.786842584440569,
        4.78686266687798,
        4.78688274931539,
        4.786902831752799,
        4.786922914190209,
        4.7869429966276185,
        4.786963079065028,
        4.786983161502439,
        4.787003243939848,
        4.787023326377258,
        4.787043408814669,
        4.787063491252079,
        4.78708357368949,
        4.787103656126899,
        4.787123738564309,
        4.7871438210017185,
        4.7871639034391285,
        4.787183985876538,
        4.787204068313948,
        4.787224150751359,
        4.787244233188769,
        4.787264315626179,
        4.787284398063589,
        4.787304480500999,
        4.787324562938409,
        4.787344645375818,
        4.7873647278132285,
        4.7873848102506384,
        4.7874048926880475,
        4.787424975125459,
        4.787445057562868,
        4.787465140000279,
        4.787485222437689,
        4.787505304875098,
        4.787525387312509,
        4.787545469749918,
        4.787565552187328,
        4.7875856346247385,
        4.787605717062148,
        4.787625799499558,
        4.787645881936968,
        4.787665964374378,
        4.787686046811789,
        4.787706129249198,
        4.787726211686608,
        4.787746294124018,
        4.787766376561428,
        4.787786458998838,
        4.7878065414362485,
        4.787826623873658,
        4.787846706311068,
        4.787866788748478,
        4.787886871185888,
        4.787906953623298,
        4.787927036060708,
        4.787947118498117,
        4.787967200935528,
        4.787987283372938,
        4.788007365810348,
        4.7880274482477585,
        4.7880475306851675,
        4.788067613122578,
        4.788087695559988,
        4.788107777997397,
        4.788127860434808,
        4.788147942872217,
        4.788168025309627,
        4.788188107747038,
        4.788208190184448,
        4.788228272621858,
        4.788248355059268,
        4.7882684374966775,
        4.788328684808907,
        4.788348767246317,
        4.788368849683727,
        4.788388932121138,
        4.788409014558548,
        4.788429096995958,
        4.788449179433369,
        4.788469261870778,
        4.7884893443081875,
        4.788509426745597,
        4.788529509183007,
        4.788549591620417,
        4.788569674057827,
        4.788589756495238,
        4.788609838932647,
        4.788629921370058,
        4.788650003807468,
        4.788670086244878,
        4.788690168682288,
        4.788710251119697,
        4.788730333557107,
        4.788750415994517,
        4.788770498431926,
        4.788790580869338,
        4.788810663306747,
        4.788830745744158,
        4.788850828181568,
        4.788870910618977,
        4.788890993056388,
        4.788911075493797,
        4.788931157931207,
        4.788951240368617,
        4.788971322806026,
        4.788991405243437,
        4.789011487680847,
        4.789031570118257,
        4.789051652555668,
        4.789071734993077,
        4.789091817430487,
        4.789111899867897,
        4.789131982305307,
        4.789152064742717,
        4.789172147180127,
        4.789192229617537,
        4.789212312054946,
        4.789232394492357,
        4.789252476929767,
        4.789272559367177,
        4.789292641804587,
        4.789312724241996,
        4.789332806679407,
        4.789352889116817,
        4.789372971554227,
        4.789393053991637,
        4.789413136429046,
        4.789433218866457,
        4.789453301303867,
        4.789473383741276,
        4.789493466178687,
        4.789513548616096,
        4.789533631053506,
        4.789553713490918,
        4.789573795928327,
        4.789593878365737,
        4.7896139608031465,
        4.789634043240556,
        4.789654125677967,
        4.789674208115376,
        4.789694290552786,
        4.789714372990196,
        4.789734455427606,
        4.789754537865017,
        4.789774620302427,
        4.789794702739837,
        4.789814785177246,
        4.7898348676146565,
        4.789854950052066,
        4.789875032489476,
        4.789895114926886,
        4.789915197364295,
        4.789935279801706,
        4.789955362239117,
        4.789975444676526,
        4.789995527113937,
        4.790015609551346,
        4.790035691988757,
        4.7900557744261665,
        4.7900758568635755,
        4.790095939300986,
        4.790116021738395,
        4.790136104175805,
        4.790156186613217,
        4.790176269050626,
        4.790196351488036,
        4.790216433925447,
        4.790236516362856,
        4.7902565988002666,
        4.790276681237676,
        4.7902967636750855,
        4.790316846112496,
        4.790336928549906,
        4.790357010987316,
        4.790377093424726,
        4.790397175862136,
        4.790417258299546,
        4.790437340736956,
        4.790457423174366,
        4.790477505611776,
        4.790497588049186,
        4.7905176704865955,
        4.790537752924006,
        4.790557835361416,
        4.790577917798825,
        4.790598000236236,
        4.790618082673646,
        4.790638165111056,
        4.790658247548466,
        4.790678329985875,
        4.790698412423286,
        4.7907184948606965,
        4.7907385772981055,
        4.790758659735516,
        4.790778742172925,
        4.790798824610335,
        4.790818907047746,
        4.790838989485155,
        4.790859071922566,
        4.791280803108174,
        4.791300885545585,
        4.791320967982996,
        4.791341050420405,
        4.791361132857816,
        4.791381215295225,
        4.791401297732635,
        4.791421380170045,
        4.791441462607454,
        4.791461545044865,
        4.791481627482274,
        4.791501709919685,
        4.791521792357096,
        4.791541874794505,
        4.791561957231915,
        4.794574322843413,
        4.79778751282901,
        4.797807595266419,
        4.79782767770383,
        4.797847760141239,
        4.79786784257865,
        4.7978879250160595,
        4.797908007453469,
        4.79792808989088,
        4.797948172328289,
        4.797968254765699,
        4.79798833720311,
        4.798008419640519,
        4.79802850207793,
        4.798048584515339,
        4.798068666952749,
        4.79808874939016,
        4.798108831827569,
        4.7981289142649794,
        4.79814899670239,
        4.798169079139799,
        4.798189161577209,
        4.798209244014619,
        4.798229326452029,
        4.79824940888944,
        4.798269491326849,
        4.798289573764259,
        4.798309656201669,
        4.7983297386390795,
        4.798349821076489,
        4.798369903513899,
        4.798389985951309,
        4.798410068388718,
        4.798430150826129,
        4.798450233263539,
        4.798470315700949,
        4.798490398138359,
        4.798510480575769,
        4.79853056301318,
        4.7985506454505895,
        4.7985707278879985,
        4.798590810325409,
        4.798610892762818,
        4.798630975200229,
        4.798651057637639,
        4.798671140075048,
        4.798691222512459,
        4.798711304949869,
        4.798731387387279,
        4.79875146982469,
        4.798771552262099,
        4.7987916346995085,
        4.7988117171369185,
        4.798831799574328,
        4.798851882011739,
        4.798871964449148,
        4.798892046886558,
        4.798912129323969,
        4.798932211761379,
        4.798952294198789,
        4.798972376636199,
        4.798992459073609,
        4.7990125415110185,
        4.7990326239484284,
        4.799052706385838,
        4.799193283447709,
        4.799213365885118,
        4.7992334483225285,
        4.799253530759938,
        4.7992736131973475,
        4.799293695634759,
        4.799313778072168,
        4.799333860509578,
        4.799353942946989,
        4.799374025384398,
        4.799394107821808,
        4.799414190259218,
        4.799434272696628,
        4.7994543551340385,
        4.7994744375714475,
        4.799494520008858,
        4.799514602446268,
        4.799534684883678,
        4.799554767321088,
        4.799574849758498,
        4.799594932195908,
        4.799615014633318,
        4.799635097070728,
        4.799655179508138,
        4.7996752619455485,
        4.799695344382958,
        4.7997154268203674,
        4.799735509257778,
        4.799755591695188,
        4.799775674132597,
        4.799795756570008,
        4.799815839007417,
        4.799835921444828,
        4.799856003882238,
        4.799876086319648,
        4.7998961687570585,
        4.799916251194468,
        4.799936333631877,
        4.799956416069288,
        4.799976498506697,
        4.799996580944107,
        4.800016663381518,
        4.800036745818927,
        4.800056828256338,
        4.800076910693748,
        4.800177322880797,
        4.800197405318207,
        4.800217487755618,
        4.800237570193027,
        4.800257652630437,
        4.800277735067848,
        4.800297817505258,
        4.800317899942668,
        4.800337982380078,
        4.8003580648174875,
        4.8003781472548965,
        4.800398229692307,
        4.800418312129717,
        4.800438394567127,
        4.800458477004538,
        4.800478559441947,
        4.800498641879358,
        4.800518724316768,
        4.800538806754177,
        4.800558889191588,
        4.800578971628997,
        4.8005990540664065,
        4.800619136503817,
        4.800639218941226,
        4.800659301378638,
        4.800679383816047,
        4.800699466253457,
        4.800719548690868,
        4.800739631128277,
        4.800759713565687,
        4.800779796003097,
        4.800799878440507,
        4.800819960877917,
        4.800840043315326,
        4.800860125752737,
        4.800880208190147,
        4.800900290627557,
        4.800920373064967,
        4.800940455502377,
        4.800960537939787,
        4.800980620377196,
        4.801000702814607,
        4.801020785252017,
        4.8010408676894265,
        4.801060950126837,
        4.801081032564246,
        4.801101115001657,
        4.801121197439067,
        4.801141279876476,
        4.801161362313887,
        4.801181444751296,
        4.801201527188706,
        4.801221609626117,
        4.801241692063527,
        4.801261774500937,
        4.801281856938346,
        4.801301939375756,
        4.801322021813167,
        4.801342104250576,
        4.801362186687986,
        4.801382269125396,
        4.801402351562806,
        4.801422434000217,
        4.801442516437627,
        4.801462598875037,
        4.801482681312447,
        4.801502763749856,
        4.801522846187266,
        4.801542928624676,
        4.801563011062086,
        4.801583093499496,
        4.801603175936906,
        4.801623258374316,
        4.801643340811727,
        4.801663423249137,
        4.801683505686547,
        4.8017035881239565,
        4.801723670561366,
        4.801743752998775,
        4.801763835436186,
        4.801783917873596,
        4.801804000311006,
        4.801824082748417,
        4.801844165185826,
        4.801864247623237,
        4.801884330060647,
        4.801904412498056,
        4.8019244949354665,
        4.8019445773728755,
        4.801964659810285,
        4.801984742247696,
        4.802004824685105,
        4.802024907122517,
        4.802044989559926,
        4.802065071997336,
        4.802085154434747,
        4.802105236872156,
        4.802125319309566,
        4.802145401746976,
        4.8021654841843855,
        4.802185566621795,
        4.802205649059205,
        4.802225731496616,
        4.802245813934026,
        4.802265896371436,
        4.802285978808846,
        4.802306061246256,
        4.802326143683666,
        4.802346226121075,
        4.802366308558486,
        4.8023863909958955,
        4.802406473433306,
        4.802426555870716,
        4.802446638308125,
        4.802466720745536,
        4.802486803182946,
        4.802506885620355,
        4.802526968057766,
        4.802547050495175,
        4.802567132932585,
        4.8025872153699956,
        4.8026072978074055,
        4.802627380244816,
        4.802647462682225,
        4.802667545119635,
        4.8028081221815055,
        4.8028282046189155,
        4.802848287056325,
        4.802868369493735,
        4.802888451931145,
        4.802908534368555,
        4.802928616805965,
        4.802948699243374,
        4.802968781680785,
        4.802988864118196,
        4.803008946555606,
        4.8030290289930155,
        4.8030491114304255,
        4.803069193867835,
        4.803089276305245,
        4.803109358742654,
        4.803129441180065,
        4.803149523617475,
        4.803169606054884,
        4.803189688492296,
        4.803209770929705,
        4.803229853367116,
        4.8032499358045255,
        4.803270018241935,
        4.803290100679345,
        4.803310183116754,
        4.803330265554164,
        4.803350347991575,
        4.803370430428984,
        4.803390512866395,
        4.803410595303805,
        4.803430677741215,
        4.803450760178626,
        4.803531089928264,
        4.803551172365674,
        4.803571254803085,
        4.803591337240495,
        4.803611419677905,
        4.803631502115315,
        4.803651584552725,
        4.803671666990135,
        4.803691749427545,
        4.803852408926825,
        4.803872491364234,
        4.803892573801645,
        4.803912656239054,
        4.803932738676464,
        4.8039528211138744,
        4.803972903551284,
        4.803992985988694,
        4.804013068426104,
        4.804033150863514,
        4.804053233300925,
        4.804073315738334,
        4.804093398175744,
        4.804113480613154,
        4.804133563050564,
        4.804153645487974,
        4.804173727925384,
        4.804193810362794,
        4.804213892800204,
        4.804233975237614,
        4.804254057675024,
        4.804274140112434,
        4.804294222549844,
        4.804314304987253,
        4.804334387424664,
        4.804354469862075,
        4.804374552299484,
        4.804394634736894,
        4.8044147171743035,
        4.804434799611714,
        4.804454882049124,
        4.804474964486533,
        4.804495046923944,
        4.804515129361353,
        4.804535211798763,
        4.804555294236175,
        4.804575376673584,
        4.804595459110994,
        4.8046155415484035,
        4.8046356239858135,
        4.804655706423224,
        4.804675788860633,
        4.804695871298043,
        4.804715953735453,
        4.804736036172864,
        4.804756118610274,
        4.804776201047684,
        4.804796283485094,
        4.8048163659225045,
        4.8048364483599135,
        4.804856530797323,
        4.804876613234733,
        4.804896695672143,
        4.804916778109553,
        4.804936860546964,
        4.804956942984374,
        4.804977025421783,
        4.804997107859194,
        4.805017190296604,
        4.805037272734014,
        4.8050573551714235,
        4.8050774376088325,
        4.805097520046243,
        4.805117602483653,
        4.805137684921063,
        4.805157767358474,
        4.805177849795883,
        4.805197932233294,
        4.805218014670704,
        4.805238097108113,
        4.805258179545524,
        4.805278261982933,
        4.8052983444203425,
        4.805318426857753,
        4.805338509295163,
        4.805358591732573,
        4.805378674169983,
        4.805398756607393,
        4.805418839044804,
        4.805438921482213,
        4.805459003919623,
        4.805479086357033,
        4.805499168794443,
        4.805519251231853,
        4.805539333669263,
        4.805559416106673,
        4.805579498544082,
        4.805599580981493,
        4.805619663418903,
        4.805639745856313,
        4.805659828293723,
        4.805679910731132,
        4.805699993168543,
        4.8057200756059535,
        4.8057401580433625,
        4.805760240480773,
        4.805780322918182,
        4.805800405355593,
        4.805820487793003,
        4.805840570230412,
        4.805860652667823,
        4.805880735105232,
        4.805900817542642,
        4.805920899980054,
        4.805940982417463,
        4.8059610648548725,
        4.805981147292282,
        4.806001229729692,
        4.806021312167103,
        4.806041394604512,
        4.806061477041922,
        4.806081559479332,
        4.806101641916742,
        4.806121724354153,
        4.806141806791563,
        4.806161889228973,
        4.806242218978612,
        4.806262301416022,
        4.806282383853431,
        4.806422960915302,
        4.806443043352711,
        4.806463125790122,
        4.806483208227532,
        4.806503290664942,
        4.806523373102353,
        4.806543455539762,
        4.806563537977172,
        4.806583620414583,
        4.806603702851992,
        4.8066237852894025,
        4.8066438677268115,
        4.806663950164221,
        4.806684032601632,
        4.806704115039042,
        4.806724197476452,
        4.806744279913862,
        4.806764362351272,
        4.806784444788682,
        4.806804527226092,
        4.806824609663502,
        4.806844692100912,
        4.8068647745383215,
        4.806884856975731,
        4.806904939413142,
        4.806925021850552,
        4.806945104287961,
        4.806965186725372,
        4.806985269162782,
        4.807005351600192,
        4.807025434037602,
        4.807045516475011,
        4.807065598912422,
        4.807085681349832,
        4.807105763787241,
        4.807125846224652,
        4.807145928662061,
        4.807166011099471,
        4.807186093536882,
        4.807206175974291,
        4.807226258411702,
        4.807246340849111,
        4.807266423286521,
        4.8072865057239325,
        4.8073065881613415,
        4.807326670598751,
        4.807346753036161,
        4.807366835473571,
        4.807386917910981,
        4.807407000348391,
        4.807427082785801,
        4.807447165223211,
        4.807467247660622,
        4.807487330098032,
        4.807507412535442,
        4.8075274949728515,
        4.8075475774102605,
        4.807567659847671,
        4.807587742285081,
        4.807607824722491,
        4.807627907159901,
        4.80764798959731,
        4.807668072034722,
        4.807688154472132,
        4.807708236909541,
        4.8077283193469516,
        4.807748401784361,
        4.8077684842217705,
        4.807788566659181,
        4.80780864909659,
        4.807828731534001,
        4.80784881397141,
        4.807868896408821,
        4.807888978846232,
        4.807909061283641,
        4.807929143721051,
        4.8079492261584615,
        4.807969308595871,
        4.8079893910332805,
        4.80800947347069,
        4.8080295559081,
        4.808049638345511,
        4.808069720782921,
        4.808089803220331,
        4.808109885657741,
        4.808129968095151,
        4.808150050532561,
        4.808170132969971,
        4.808190215407381,
        4.8082102978447905,
        4.8082303802822,
        4.80847136953112,
        4.808491451968531,
        4.80851153440594,
        4.80853161684335,
        4.808551699280761,
        4.80857178171817,
        4.808591864155581,
        4.80861194659299,
        4.8086320290304,
        4.808652111467811,
        4.80867219390522,
        4.80869227634263,
        4.80871235878004,
        4.80873244121745,
        4.80875252365486,
        4.80877260609227,
        4.80879268852968,
        4.80881277096709,
        4.8088328534045,
        4.8088529358419105,
        4.8088730182793205,
        4.80889310071673,
        4.808913183154139,
        4.80893326559155,
        4.80895334802896,
        4.808973430466369,
        4.80899351290378,
        4.809013595341189,
        4.809033677778601,
        4.809053760216011,
        4.80907384265342,
        4.8090939250908304,
        4.8091140075282395,
        4.809134089965649,
        4.80915417240306,
        4.809174254840469,
        4.80919433727788,
        4.809214419715289,
        4.8092345021527,
        4.809254584590111,
        4.80927466702752,
        4.80929474946493,
        4.8093148319023395,
        4.8093349143397495,
        4.809354996777159,
        4.809375079214569,
        4.809395161651979,
        4.80941524408939,
        4.8094353265268,
        4.80945540896421,
        4.80947549140162,
        4.80949557383903,
        4.809515656276439,
        4.8095357387138495,
        4.8095558211512595,
        4.8095759035886685,
        4.809595986026079,
        4.80961606846349,
        4.8096361509009,
        4.80965623333831,
        4.809676315775719,
        4.80969639821313,
        4.80971648065054,
        4.809736563087949,
        4.8097566455253595,
        4.809776727962769,
        4.80979681040018,
        4.80981689283759,
        4.809836975274999,
        4.80985705771241,
        4.809877140149819,
        4.809897222587229,
        4.81001771721169,
        4.810037799649099,
        4.810057882086509,
        4.810077964523919,
        4.810098046961329,
        4.810118129398739,
        4.810138211836149,
        4.810158294273559,
        4.810178376710968,
        4.8101984591483795,
        4.810218541585789,
        4.810238624023199,
        4.810258706460609,
        4.810278788898018,
        4.810298871335429,
        4.810318953772839,
        4.810339036210248,
        4.810359118647659,
        4.810379201085068,
        4.81039928352248,
        4.8104193659598895,
        4.8104394483972985,
        4.810459530834709,
        4.810479613272118,
        4.810499695709528,
        4.810519778146939,
        4.810539860584348,
        4.810559943021758,
        4.810580025459169,
        4.810600107896579,
        4.81062019033399,
        4.810640272771399,
        4.8106603552088085,
        4.810680437646218,
        4.810700520083628,
        4.810720602521038,
        4.810740684958448,
        4.810760767395858,
        4.810780849833268,
        4.810800932270679,
        4.810821014708089,
        4.810841097145499,
        4.810861179582909,
        4.810881262020318,
        4.810901344457728,
        4.810921426895138,
        4.810941509332547,
        4.810961591769958,
        4.810981674207368,
        4.811001756644779,
        4.811021839082189,
        4.811041921519598,
        4.8111423337066475,
        4.811162416144057,
        4.811182498581469,
        4.811202581018878,
        4.811222663456289,
        4.811242745893698,
        4.811624312204488,
        4.811644394641897,
        4.811664477079308,
        4.811684559516718,
        4.811704641954127,
        4.811724724391538,
        4.811744806828947,
        4.811764889266358,
        4.811784971703768,
        4.811805054141177,
        4.811825136578588,
        4.8120058785152775,
        4.812025960952687,
        4.812046043390097,
        4.812066125827507,
        4.812086208264917,
        4.812106290702327,
        4.812126373139737,
        4.812146455577147,
        4.813953874944046,
        4.816002283559864,
        4.816022365997274,
        4.816042448434684,
        4.816062530872094,
        4.816082613309504,
        4.816102695746914,
        4.816122778184324,
        4.816142860621733,
        4.816162943059144,
        4.816183025496554,
        4.816203107933964,
        4.816223190371374,
        4.816243272808784,
        4.816263355246194,
        4.816283437683604,
        4.816303520121013,
        4.816323602558424,
        4.816343684995833,
        4.816363767433243,
        4.816383849870654,
        4.816403932308063,
        4.816424014745475,
        4.816444097182884,
        4.816464179620294,
        4.816484262057704,
        4.816504344495113,
        4.816524426932523,
        4.816544509369933,
        4.816564591807343,
        4.816584674244754,
        4.816604756682163,
        4.816624839119574,
        4.816644921556984,
        4.816665003994394,
        4.816685086431804,
        4.8167051688692135,
        4.816725251306623,
        4.8167453337440325,
        4.816765416181443,
        4.816785498618853,
        4.816805581056263,
        4.816825663493674,
        4.816845745931083,
        4.816865828368494,
        4.816885910805904,
        4.816905993243313,
        4.8169260756807235,
        4.8169461581181325,
        4.8169662405555425,
        4.816986322992953,
        4.817006405430362,
        4.817026487867774,
        4.817046570305183,
        4.817066652742593,
        4.817086735180004,
        4.817106817617413,
        4.817126900054823,
        4.817146982492233,
        4.8171670649296425,
        4.817187147367053,
        4.817207229804463,
        4.817227312241873,
        4.817247394679283,
        4.817267477116693,
        4.817287559554103,
        4.817307641991513,
        4.817327724428923,
        4.817347806866332,
        4.817367889303743,
        4.8173879717411525,
        4.817408054178563,
        4.817428136615973,
        4.817448219053382,
        4.817468301490793,
        4.817488383928203,
        4.817508466365612,
        4.817528548803023,
        4.817548631240432,
        4.817568713677842,
        4.8175887961152535,
        4.8176088785526625,
        4.817628960990073,
        4.817649043427483,
        4.817669125864892,
        4.817689208302303,
        4.817709290739712,
        4.817729373177122,
        4.817749455614533,
        4.817769538051942,
        4.8177896204893536,
        4.817809702926763,
        4.8178297853641725,
        4.817849867801583,
        4.817869950238992,
        4.817890032676402,
        4.817910115113812,
        4.817930197551222,
        4.817950279988632,
        4.817970362426042,
        4.817990444863453,
        4.818010527300863,
        4.818030609738273,
        4.8180506921756825,
        4.818070774613092,
        4.818090857050502,
        4.818110939487911,
        4.818131021925322,
        4.818151104362732,
        4.818171186800141,
        4.818191269237553,
        4.818211351674962,
        4.818231434112373,
        4.818251516549783,
        4.818271598987192,
        4.818291681424602,
        4.818311763862011,
        4.818331846299421,
        4.818351928736832,
        4.818372011174242,
        4.818392093611653,
        4.818412176049062,
        4.818432258486472,
        4.818452340923883,
        4.818472423361292,
        4.818492505798702,
        4.8185125882361115,
        4.818532670673521,
        4.818552753110931,
        4.818572835548342,
        4.818592917985752,
        4.818613000423162,
        4.818633082860572,
        4.818653165297982,
        4.821354253129623,
        4.8243364950850065,
        4.824356577522416,
        4.824376659959826,
        4.824396742397236,
        4.824416824834648,
        4.824436907272057,
        4.824456989709467,
        4.824477072146877,
        4.824497154584287,
        4.824517237021697,
        4.824537319459107,
        4.8245574018965165,
        4.824577484333926,
        4.824597566771337,
        4.824617649208747,
        4.824637731646157,
        4.824657814083567,
        4.824677896520976,
        4.824697978958387,
        4.824718061395797,
        4.824738143833206,
        4.824758226270617,
        4.824778308708026,
        4.824798391145437,
        4.824818473582847,
        4.824838556020256,
        4.824858638457667,
        4.824878720895076,
        4.824898803332486,
        4.824918885769897,
        4.824938968207306,
        4.824959050644717,
        4.824979133082126,
        4.8249992155195365,
        4.825019297956947,
        4.825039380394356,
        4.825059462831766,
        4.825079545269176,
        4.825099627706586,
        4.825119710143996,
        4.825139792581406,
        4.825159875018816,
        4.825179957456226,
        4.8252000398936365,
        4.8252201223310465,
        4.825240204768456,
        4.825260287205866,
        4.825280369643275,
        4.825300452080686,
        4.825320534518096,
        4.825340616955505,
        4.825360699392916,
        4.825380781830326,
        4.825400864267737,
        4.8254209467051465,
        4.825441029142556,
        4.825461111579966,
        4.825481194017375,
        4.825501276454785,
        4.825521358892196,
        4.825541441329605,
        4.825561523767016,
        4.825581606204426,
        4.825601688641836,
        4.825621771079247,
        4.825641853516656,
        4.825661935954066,
        4.8256820183914755,
        4.825702100828885,
        4.825722183266295,
        4.825742265703705,
        4.825762348141115,
        4.825782430578527,
        4.825802513015936,
        4.825822595453346,
        4.825842677890756,
        4.825862760328166,
        4.8258828427655756,
        4.8259029252029855,
        4.825923007640395,
        4.825943090077804,
        4.825963172515215,
        4.825983254952626,
        4.826003337390036,
        4.826023419827446,
        4.826043502264855,
        4.826063584702266,
        4.826083667139676,
        4.826103749577085,
        4.8261238320144955,
        4.8261439144519045,
        4.826384903700826,
        4.826404986138235,
        4.826425068575645,
        4.826445151013055,
        4.826465233450465,
        4.826485315887875,
        4.826505398325285,
        4.826525480762695,
        4.826625892949745,
        4.826645975387154,
        4.826666057824565,
        4.826686140261975,
        4.826706222699384,
        4.826726305136795,
        4.826746387574205,
        4.8267664700116155,
        4.826786552449025,
        4.8268066348864345,
        4.826826717323845,
        4.826846799761254,
        4.826866882198664,
        4.826886964636075,
        4.826907047073484,
        4.826927129510894,
        4.826947211948305,
        4.826967294385715,
        4.8269873768231255,
        4.8270074592605345,
        4.8270275416979445,
        4.827047624135354,
        4.827067706572764,
        4.827087789010174,
        4.827107871447584,
        4.827127953884994,
        4.827148036322404,
        4.827168118759815,
        4.827188201197225,
        4.827208283634635,
        4.8272283660720445,
        4.827248448509454,
        4.827268530946864,
        4.827288613384274,
        4.827308695821683,
        4.827328778259095,
        4.827348860696505,
        4.827368943133915,
        4.827389025571325,
        4.827409108008734,
        4.827429190446145,
        4.8274492728835545,
        4.8274693553209636,
        4.827489437758374,
        4.827509520195783,
        4.827529602633194,
        4.827549685070605,
        4.827569767508014,
        4.827589849945425,
        4.827609932382834,
        4.827630014820244,
        4.827650097257655,
        4.827670179695064,
        4.8276902621324735,
        4.8277103445698835,
        4.827730427007294,
        4.827750509444704,
        4.827770591882114,
        4.827790674319524,
        4.827810756756934,
        4.827830839194344,
        4.827850921631754,
        4.827871004069164,
        4.827891086506574,
        4.827911168943983,
        4.827931251381394,
        4.827951333818804,
        4.827971416256214,
        4.827991498693624,
        4.828011581131033,
        4.828031663568444,
        4.828051746005854,
        4.828071828443263,
        4.828091910880674,
        4.828111993318084,
        4.8281320757554935,
        4.828152158192904,
        4.828172240630313,
        4.828192323067724,
        4.828212405505133,
        4.828232487942543,
        4.828252570379954,
        4.828272652817363,
        4.828292735254773,
        4.828312817692184,
        4.828332900129594,
        4.828352982567004,
        4.828373065004413,
        4.828393147441823,
        4.828413229879233,
        4.828433312316643,
        4.828453394754053,
        4.828473477191463,
        4.828493559628874,
        4.828513642066283,
        4.828533724503694,
        4.828553806941104,
        4.8285738893785135,
        4.828593971815923,
        4.8286140542533325,
        4.828634136690743,
        4.828654219128153,
        4.828674301565562,
        4.828694384002974,
        4.828714466440383,
        4.828734548877793,
        4.828754631315204,
        4.828774713752613,
        4.8287947961900235,
        4.8288148786274325,
        4.8288349610648424,
        4.828855043502253,
        4.828875125939662,
        4.828895208377073,
        4.828915290814483,
        4.828935373251893,
        4.828955455689304,
        4.828975538126713,
        4.828995620564123,
        4.829015703001533,
        4.8290357854389425,
        4.829055867876352,
        4.829075950313762,
        4.829096032751173,
        4.829116115188583,
        4.829136197625993,
        4.829156280063403,
        4.829176362500813,
        4.829196444938223,
        4.829216527375633,
        4.829236609813043,
        4.8292566922504525,
        4.829276774687862,
        4.829296857125273,
        4.829316939562683,
        4.829337022000092,
        4.829357104437503,
        4.829377186874912,
        4.829397269312323,
        4.829417351749733,
        4.829437434187142,
        4.829457516624553,
        4.8294775990619625,
        4.829497681499372,
        4.829517763936783,
        4.829537846374192,
        4.829557928811603,
        4.829578011249012,
        4.829598093686422,
        4.829618176123833,
        4.829638258561242,
        4.829658340998652,
        4.829678423436063,
        4.8296985058734725,
        4.829718588310882,
        4.829738670748292,
        4.830039907309441,
        4.830059989746853,
        4.830080072184262,
        4.830100154621672,
        4.8301202370590826,
        4.830140319496492,
        4.830160401933902,
        4.830180484371311,
        4.830200566808721,
        4.830220649246132,
        4.830240731683541,
        4.830260814120952,
        4.830280896558362,
        4.830300978995772,
        4.830321061433182,
        4.830341143870592,
        4.830361226308002,
        4.8303813087454115,
        4.830401391182821,
        4.830421473620231,
        4.830441556057642,
        4.830461638495052,
        4.830481720932461,
        4.830501803369872,
        4.830521885807282,
        4.830541968244691,
        4.830562050682102,
        4.830582133119511,
        4.8306022155569215,
        4.830622297994331,
        4.830642380431741,
        4.830662462869152,
        4.830682545306562,
        4.830702627743971,
        4.830722710181382,
        4.830742792618791,
        4.830762875056202,
        4.830782957493612,
        4.830803039931021,
        4.8308231223684315,
        4.830843204805841,
        4.830863287243251,
        4.830883369680662,
        4.830903452118071,
        4.830923534555481,
        4.830943616992891,
        4.830963699430301,
        4.830983781867712,
        4.831003864305121,
        4.831023946742531,
        4.8310440291799415,
        4.831064111617351,
        4.831084194054761,
        4.831104276492171,
        4.831124358929581,
        4.83114444136699,
        4.831164523804401,
        4.831184606241811,
        4.831204688679221,
        4.831224771116632,
        4.831244853554041,
        4.8312649359914515,
        4.831285018428861,
        4.83130510086627,
        4.831325183303681,
        4.83134526574109,
        4.831365348178501,
        4.831385430615911,
        4.83140551305332,
        4.831425595490732,
        4.831445677928141,
        4.831465760365551,
        4.8314858428029615,
        4.8315059252403705,
        4.83152600767778,
        4.83154609011519,
        4.8315661725526,
        4.831586254990011,
        4.831606337427421,
        4.831626419864831,
        4.831646502302241,
        4.831666584739651,
        4.831686667177061,
        4.8317067496144706,
        4.8317268320518805,
        4.83174691448929,
        4.8317669969267,
        4.83178707936411,
        4.831807161801521,
        4.831827244238931,
        4.83184732667634,
        4.831867409113751,
        4.831887491551161,
        4.83190757398857,
        4.8319276564259805,
        4.83194773886339,
        4.8319678213008,
        4.83198790373821,
        4.83200798617562,
        4.832028068613031,
        4.83204815105044,
        4.83206823348785,
        4.832088315925261,
        4.83210839836267,
        4.83212848080008,
        4.83214856323749,
        4.8321686456749,
        4.83218872811231,
        4.83220881054972,
        4.83222889298713,
        4.832248975424541,
        4.83226905786195,
        4.83228914029936,
        4.83230922273677,
        4.83232930517418,
        4.83240963492382,
        4.83242971736123,
        4.83244979979864,
        4.83246988223605,
        4.83248996467346,
        4.832510047110869,
        4.83253012954828,
        4.83255021198569,
        4.8325702944231,
        4.8325903768605105,
        4.8326104592979195,
        4.83263054173533,
        4.83265062417274,
        4.832670706610149,
        4.83269078904756,
        4.832710871484969,
        4.832730953922379,
        4.83275103635979,
        4.832771118797199,
        4.832791201234611,
        4.83281128367202,
        4.8328313661094295,
        4.83285144854684,
        4.832871530984249,
        4.832891613421659,
        4.832911695859069,
        4.832931778296479,
        4.83295186073389,
        4.832971943171299,
        4.83299202560871,
        4.83301210804612,
        4.83303219048353,
        4.8330522729209395,
        4.8330723553583494,
        4.833092437795759,
        4.833112520233168,
        4.833132602670579,
        4.833152685107989,
        4.8331727675454,
        4.83319284998281,
        4.833212932420219,
        4.83323301485763,
        4.83325309729504,
        4.833273179732449,
        4.833293262169859,
        4.8333133446072685,
        4.833333427044678,
        4.833694910918059,
        4.833714993355468,
        4.8337350757928785,
        4.833755158230289,
        4.833775240667699,
        4.833795323105109,
        4.833815405542518,
        4.833835487979929,
        4.833855570417339,
        4.833875652854748,
        4.833895735292159,
        4.833915817729568,
        4.833935900166978,
        4.833955982604389,
        4.833976065041798,
        4.833996147479209,
        4.834016229916619,
        4.834036312354028,
        4.834056394791439,
        4.834076477228848,
        4.834096559666258,
        4.834116642103669,
        4.834136724541078,
        4.8341568069784895,
        4.8341768894158985,
        4.834196971853308,
        4.834217054290719,
        4.834237136728128,
        4.834257219165538,
        4.834277301602948,
        4.834297384040358,
        4.834538373289278,
        4.834558455726689,
        4.834578538164098,
        4.834598620601509,
        4.8346187030389185,
        4.8346387854763275,
        4.834658867913738,
        4.834678950351147,
        4.834699032788557,
        4.834719115225968,
        4.834739197663378,
        4.834759280100789,
        4.834779362538198,
        4.834799444975608,
        4.834819527413019,
        4.834839609850428,
        4.8348596922878375,
        4.834879774725247,
        4.834899857162657,
        4.834919939600067,
        4.834940022037478,
        4.834960104474888,
        4.834980186912298,
        4.835000269349708,
        4.835020351787118,
        4.835040434224528,
        4.835060516661938,
        4.835080599099347,
        4.835100681536757,
        4.835120763974168,
        4.835140846411578,
        4.835160928848988,
        4.835181011286397,
        4.835201093723808,
        4.835221176161218,
        4.835241258598627,
        4.835261341036038,
        4.835281423473447,
        4.835301505910857,
        4.835321588348268,
        4.835341670785677,
        4.835361753223088,
        4.835381835660497,
        4.835401918097907,
        4.835422000535318,
        4.835442082972727,
        4.835462165410137,
        4.835482247847547,
        4.835502330284958,
        4.8355224127223675,
        4.835542495159777,
        4.835562577597187,
        4.835582660034598,
        4.835602742472007,
        4.835622824909417,
        4.835642907346827,
        4.835662989784237,
        4.835683072221647,
        4.835703154659058,
        4.835723237096468,
        4.8357433195338775,
        4.835763401971287,
        4.835783484408697,
        4.835803566846107,
        4.835823649283517,
        4.835843731720926,
        4.835863814158337,
        4.835883896595747,
        4.835903979033157,
        4.835924061470568,
        4.835944143907977,
        4.8359642263453875,
        4.835984308782797,
        4.836004391220206,
        4.836024473657617,
        4.836044556095026,
        4.836064638532436,
        4.836084720969847,
        4.836104803407257,
        4.836124885844667,
        4.836144968282077,
        4.836165050719487,
        4.8361851331568975,
        4.8362052155943065,
        4.836225298031716,
        4.836245380469126,
        4.836265462906536,
        4.836285545343947,
        4.836305627781357,
        4.836325710218767,
        4.836345792656177,
        4.836365875093587,
        4.836385957530997,
        4.836406039968407,
        4.8364261224058165,
        4.8364462048432255,
        4.836466287280636,
        4.836486369718047,
        4.836506452155456,
        4.836526534592867,
        4.836546617030276,
        4.836566699467687,
        4.836586781905097,
        4.836606864342506,
        4.836626946779917,
        4.836647029217326,
        4.8366671116547355,
        4.836687194092147,
        4.836707276529556,
        4.836727358966966,
        4.836747441404376,
        4.836767523841786,
        4.836787606279197,
        4.836807688716606,
        4.836827771154016,
        4.836847853591426,
        4.836867936028836,
        4.836888018466246,
        4.836908100903656,
        4.836928183341066,
        4.836948265778476,
        4.837349914526676,
        4.837369996964085,
        4.837390079401496,
        4.837410161838905,
        4.837430244276315,
        4.837450326713726,
        4.837470409151136,
        4.837490491588546,
        4.837510574025956,
        4.8375306564633656,
        4.837550738900776,
        4.837570821338185,
        4.837590903775595,
        4.837610986213005,
        4.837631068650415,
        4.837651151087825,
        4.837671233525236,
        4.837691315962646,
        4.837711398400055,
        4.837731480837466,
        4.8377515632748755,
        4.8377716457122855,
        4.837791728149695,
        4.837811810587104,
        4.837831893024515,
        4.837851975461926,
        4.837872057899335,
        4.837892140336746,
        4.837912222774155,
        4.837932305211565,
        4.837952387648976,
        4.837972470086385,
        4.8379925525237955,
        4.8380126349612045,
        4.838032717398614,
        4.838052799836026,
        4.838072882273435,
        4.838092964710845,
        4.838113047148255,
        4.838133129585665,
        4.838153212023076,
        4.838173294460485,
        4.839699559703643,
        4.841547143945363,
        4.8415672263827725,
        4.841587308820182,
        4.841607391257592,
        4.841627473695002,
        4.841647556132411,
        4.841667638569822,
        4.841687721007232,
        4.841707803444641,
        4.841727885882052,
        4.841747968319462,
        4.8417680507568726,
        4.8417881331942825,
        4.8418082156316915,
        4.841828298069102,
        4.841848380506511,
        4.841868462943921,
        4.841888545381332,
        4.841908627818741,
        4.841928710256152,
        4.841948792693563,
        4.841968875130972,
        4.8419889575683825,
        4.842009040005792,
        4.8420291224432015,
        4.842049204880612,
        4.842069287318021,
        4.842089369755431,
        4.842109452192841,
        4.842129534630252,
        4.842149617067663,
        4.842169699505072,
        4.842189781942482,
        4.842209864379892,
        4.842229946817302,
        4.8422500292547115,
        4.842270111692121,
        4.842290194129531,
        4.84231027656694,
        4.842330359004352,
        4.842350441441762,
        4.842370523879172,
        4.842390606316582,
        4.842410688753991,
        4.842430771191402,
        4.842450853628812,
        4.842470936066221,
        4.842491018503631,
        4.84251110094104,
        4.842531183378452,
        4.842551265815862,
        4.842571348253271,
        4.842591430690682,
        4.842611513128091,
        4.842631595565501,
        4.842651678002912,
        4.842671760440321,
        4.843505181592835,
        4.8447000866187295,
        4.84472016905614,
        4.844740251493549,
        4.844760333930959,
        4.844780416368369,
        4.844800498805779,
        4.844820581243189,
        4.844840663680599,
        4.84486074611801,
        4.844880828555419,
        4.84490091099283,
        4.8449209934302395,
        4.844941075867649,
        4.844961158305059,
        4.844981240742468,
        4.845001323179879,
        4.845021405617289,
        4.845041488054698,
        4.84506157049211,
        4.845081652929519,
        4.845101735366929,
        4.84512181780434,
        4.845141900241749,
        4.845161982679159,
        4.8451820651165685,
        4.845202147553978,
        4.845222229991389,
        4.845242312428799,
        4.845262394866209,
        4.84528247730362,
        4.845302559741029,
        4.84532264217844,
        4.845342724615849,
        4.845362807053259,
        4.845382889490669,
        4.8454029719280785,
        4.845423054365488,
        4.845443136802899,
        4.845463219240309,
        4.845483301677719,
        4.845503384115129,
        4.845523466552539,
        4.845543548989949,
        4.845563631427359,
        4.845583713864769,
        4.8456037963021785,
        4.845623878739589,
        4.845643961176998,
        4.845664043614409,
        4.845684126051819,
        4.845704208489228,
        4.845724290926639,
        4.845744373364048,
        4.845764455801459,
        4.845784538238869,
        4.845804620676278,
        4.845824703113689,
        4.845844785551098,
        4.845864867988508,
        4.845884950425919,
        4.845905032863328,
        4.845925115300739,
        4.845945197738148,
        4.845965280175558,
        4.845985362612969,
        4.846005445050378,
        4.846025527487789,
        4.8460456099251985,
        4.846065692362608,
        4.846085774800018,
        4.846105857237428,
        4.846125939674838,
        4.846146022112248,
        4.846166104549658,
        4.846186186987068,
        4.846206269424478,
        4.846226351861889,
        4.846246434299298,
        4.8462665167367085,
        4.846286599174118,
        4.8463066816115274,
        4.846326764048938,
        4.846346846486347,
        4.846366928923758,
        4.846387011361168,
        4.846407093798578,
        4.846427176235989,
        4.846447258673398,
        4.846467341110808,
        4.8464874235482185,
        4.8465075059856275,
        4.846527588423038,
        4.846547670860447,
        4.846567753297857,
        4.846587835735268,
        4.846607918172678,
        4.846628000610088,
        4.846648083047498,
        4.846668165484908,
        4.846688247922318,
        4.846708330359728,
        4.8467284127971375,
        4.846748495234547,
        4.846768577671957,
        4.846788660109367,
        4.846808742546778,
        4.846828824984188,
        4.846848907421598,
        4.846868989859008,
        4.846889072296418,
        4.846909154733827,
        4.846929237171238,
        4.8469493196086475,
        4.846969402046057,
        4.846989484483467,
        4.847009566920877,
        4.847029649358288,
        4.847049731795698,
        4.847069814233107,
        4.847089896670518,
        4.847109979107927,
        4.847130061545338,
        4.847150143982748,
        4.847170226420157,
        4.847190308857568,
        4.847210391294977,
        4.847230473732387,
        4.847250556169798,
        4.847270638607207,
        4.847290721044617,
        4.847310803482027,
        4.847330885919437,
        4.847350968356848,
        4.847371050794257,
        4.8473911332316675,
        4.847411215669077,
        4.847431298106487,
        4.847451380543897,
        4.847471462981307,
        4.847491545418717,
        4.847511627856126,
        4.847531710293537,
        4.847551792730947,
        4.847571875168357,
        4.8475919576057676,
        4.847612040043177,
        4.847632122480587,
        4.847652204917997,
        4.847672287355406,
        4.847692369792817,
        4.847712452230226,
        4.847732534667637,
        4.847752617105047,
        4.847772699542456,
        4.847792781979868,
        4.847812864417277,
        4.848274760477706,
        4.8482948429151165,
        4.8483149253525255,
        4.848335007789936,
        4.848355090227347,
        4.848375172664756,
        4.848395255102167,
        4.848415337539576,
        4.848435419976986,
        4.848455502414397,
        4.848475584851806,
        4.848495667289216,
        4.848515749726626,
        4.8485358321640355,
        4.848555914601447,
        4.848575997038856,
        4.848596079476266,
        4.848616161913677,
        4.848636244351086,
        4.848656326788496,
        4.848676409225906,
        4.848696491663316,
        4.8487165741007265,
        4.848736656538136,
        4.848756738975546,
        4.848776821412956,
        4.848796903850366,
        4.848816986287776,
        4.848837068725186,
        4.848857151162596,
        4.848877233600005,
        4.848897316037416,
        4.848917398474826,
        4.848937480912236,
        4.8489575633496464,
        4.8489776457870555,
        4.848997728224466,
        4.849017810661876,
        4.849037893099285,
        4.849057975536696,
        4.849078057974105,
        4.849098140411515,
        4.849118222848926,
        4.849138305286336,
        4.8491583877237465,
        4.8491784701611556,
        4.8491985525985655,
        4.849218635035976,
        4.849238717473385,
        4.849258799910795,
        4.849278882348205,
        4.849298964785615,
        4.849319047223026,
        4.849339129660436,
        4.849359212097846,
        4.849379294535256,
        4.8493993769726655,
        4.8494194594100755,
        4.849439541847485,
        4.849459624284895,
        4.849479706722304,
        4.849499789159715,
        4.849519871597125,
        4.849539954034536,
        4.849560036471946,
        4.849580118909355,
        4.849600201346766,
        4.8496202837841755,
        4.849640366221585,
        4.849660448658995,
        4.849680531096404,
        4.849700613533814,
        4.849720695971225,
        4.849740778408635,
        4.849760860846046,
        4.849780943283455,
        4.849801025720865,
        4.849821108158276,
        4.849841190595685,
        4.8498612730330946,
        4.8498813554705045,
        4.849901437907914,
        4.849921520345326,
        4.849941602782735,
        4.849961685220145,
        4.849981767657555,
        4.850001850094965,
        4.850021932532375,
        4.850042014969785,
        4.850062097407195,
        4.850082179844604,
        4.8501022622820145,
        4.850122344719425,
        4.850142427156835,
        4.850162509594245,
        4.850182592031655,
        4.850202674469065,
        4.850222756906475,
        4.850242839343884,
        4.850262921781295,
        4.850283004218705,
        4.8503030866561145,
        4.850323169093525,
        4.850343251530934,
        4.850363333968345,
        4.850383416405755,
        4.850403498843164,
        4.850423581280575,
        4.850443663717984,
        4.850463746155394,
        4.850483828592805,
        4.850503911030215,
        4.850523993467625,
        4.8505440759050344,
        4.850564158342444,
        4.850584240779855,
        4.850604323217264,
        4.850624405654674,
        4.850644488092084,
        4.850664570529494,
        4.850684652966904,
        4.850704735404315,
        4.850724817841725,
        4.8507449002791345,
        4.850764982716544,
        4.850785065153954,
        4.850805147591364,
        4.850825230028774,
        4.850845312466183,
        4.850865394903594,
        4.850885477341004,
        4.850905559778414,
        4.850925642215825,
        4.850945724653234,
        4.8509658070906445,
        4.850985889528054,
        4.8510059719654635,
        4.851026054402874,
        4.851046136840283,
        4.851066219277693,
        4.851086301715105,
        4.851106384152514,
        4.851126466589925,
        4.851146549027334,
        4.851166631464744,
        4.8511867139021545,
        4.8512067963395635,
        4.8512268787769735,
        4.851246961214383,
        4.851267043651793,
        4.851287126089204,
        4.851307208526614,
        4.851327290964024,
        4.851347373401434,
        4.851367455838844,
        4.851387538276254,
        4.851407620713664,
        4.8514277031510735,
        4.851909681648913,
        4.851929764086323,
        4.851949846523734,
        4.851969928961143,
        4.851990011398553,
        4.852010093835963,
        4.852030176273373,
        4.852050258710783,
        4.852070341148194,
        4.8520904235856035,
        4.852110506023013,
        4.852130588460423,
        4.852150670897833,
        4.852170753335243,
        4.852190835772653,
        4.852210918210062,
        4.852231000647473,
        4.852251083084884,
        4.852271165522293,
        4.852291247959704,
        4.852311330397113,
        4.852331412834523,
        4.852351495271933,
        4.852371577709342,
        4.852391660146753,
        4.852411742584162,
        4.852431825021572,
        4.852451907458984,
        4.852471989896393,
        4.852492072333803,
        4.852512154771213,
        4.852532237208623,
        4.852552319646033,
        4.852572402083442,
        4.852592484520852,
        4.852612566958262,
        4.852632649395672,
        4.852652731833083,
        4.852672814270493,
        4.852692896707903,
        4.852712979145313,
        4.852733061582723,
        4.852753144020133,
        4.8527732264575425,
        4.852793308894952,
        4.8528133913323614,
        4.852833473769772,
        4.852853556207183,
        4.852873638644592,
        4.852893721082003,
        4.852913803519412,
        4.852933885956823,
        4.852953968394233,
        4.852974050831642,
        4.8529941332690525,
        4.8530142157064615,
        4.853034298143872,
        4.853054380581283,
        4.853074463018692,
        4.853094545456102,
        4.853114627893512,
        4.853134710330922,
        4.853154792768333,
        4.853174875205742,
        4.853194957643152,
        4.853215040080562,
        4.853235122517972,
        4.853255204955382,
        4.853445988110778,
        4.854038420014372,
        4.854058502451782,
        4.854078584889191,
        4.854098667326602,
        4.8541187497640115,
        4.854138832201421,
        4.854158914638831,
        4.85417899707624,
        4.854199079513652,
        4.854219161951062,
        4.854239244388471,
        4.854259326825882,
        4.854279409263291,
        4.854299491700701,
        4.8543195741381115,
        4.854339656575521,
        4.854359739012931,
        4.85437982145034,
        4.854399903887751,
        4.854419986325162,
        4.854440068762571,
        4.854460151199981,
        4.854480233637391,
        4.854500316074801,
        4.854520398512212,
        4.854540480949621,
        4.854560563387031,
        4.8545806458244405,
        4.854600728261851,
        4.854620810699261,
        4.854640893136671,
        4.854660975574081,
        4.85468105801149,
        4.854701140448901,
        4.854721222886311,
        4.854741305323721,
        4.854761387761131,
        4.85478147019854,
        4.854801552635951,
        4.854821635073361,
        4.85484171751077,
        4.854861799948181,
        4.85488188238559,
        4.854901964823001,
        4.854922047260411,
        4.85494212969782,
        4.854962212135231,
        4.8549822945726415,
        4.8550023770100506,
        4.855022459447461,
        4.85504254188487,
        4.85506262432228,
        4.855544602820119,
        4.855564685257531,
        4.855584767694941,
        4.85560485013235,
        4.855624932569761,
        4.85564501500717,
        4.85566509744458,
        4.85568517988199,
        4.8557052623193995,
        4.85572534475681,
        4.855745427194219,
        4.85576550963163,
        4.855785592069041,
        4.85580567450645,
        4.85582575694386,
        4.85584583938127,
        4.85586592181868,
        4.85588600425609,
        4.8559060866934995,
        4.8559261691309095,
        4.855946251568319,
        4.85596633400573,
        4.85598641644314,
        4.85600649888055,
        4.85602658131796,
        4.856046663755369,
        4.85606674619278,
        4.85608682863019,
        4.8561069110676,
        4.8561269935050095,
        4.8561470759424195,
        4.85616715837983,
        4.85618724081724,
        4.856207323254649,
        4.85622740569206,
        4.856247488129469,
        4.856267570566879,
        4.85628765300429,
        4.856307735441699,
        4.85632781787911,
        4.8563479003165195,
        4.8563679827539294,
        4.85638806519134,
        4.856408147628749,
        4.856428230066159,
        4.856448312503569,
        4.856468394940979,
        4.856488477378389,
        4.856508559815799,
        4.856528642253209,
        4.8565487246906205,
        4.8565688071280295,
        4.856588889565439,
        4.856608972002849,
        4.856629054440259,
        4.856649136877669,
        4.856669219315079,
        4.856689301752489,
        4.856709384189899,
        4.856729466627309,
        4.85674954906472,
        4.85676963150213,
        4.8567897139395395,
        4.8568097963769485,
        4.856829878814359,
        4.856849961251769,
        4.856870043689178,
        4.856890126126589,
        4.856910208563998,
        4.85693029100141,
        4.85695037343882,
        4.856970455876229,
        4.85699053831364,
        4.857010620751049,
        4.8570307031884585,
        4.857050785625869,
        4.857070868063278,
        4.857090950500688,
        4.857111032938098,
        4.857131115375509,
        4.85715119781292,
        4.857171280250329,
        4.857191362687739,
        4.857211445125149,
        4.857231527562559,
        4.8572516099999685,
        4.857271692437378,
        4.857291774874788,
        4.857311857312199,
        4.857331939749609,
        4.857352022187019,
        4.857372104624429,
        4.857392187061839,
        4.857412269499248,
        4.857432351936659,
        4.857452434374069,
        4.857472516811478,
        4.857492599248888,
        4.857512681686298,
        4.857532764123709,
        4.857552846561119,
        4.857572928998528,
        4.857593011435939,
        4.857613093873348,
        4.857633176310758,
        4.857653258748169,
        4.857673341185578,
        4.857693423622988,
        4.857713506060398,
        4.857733588497808,
        4.857753670935219,
        4.857773753372628,
        4.857793835810038,
        4.857813918247448,
        4.857834000684858,
        4.857854083122268,
        4.857874165559678,
        4.857894247997088,
        4.8579143304344985,
        4.857934412871908,
        4.857954495309318,
        4.857974577746728,
        4.857994660184138,
        4.858014742621547,
        4.858034825058958,
        4.858054907496368,
        4.858074989933777,
        4.858095072371189,
        4.858115154808598,
        4.8581352372460085,
        4.858155319683418,
        4.858175402120827,
        4.858195484558238,
        4.858215566995647,
        4.858235649433057,
        4.858255731870468,
        4.858275814307877,
        4.858295896745289,
        4.858315979182699,
        4.858336061620108,
        4.8583561440575185,
        4.8583762264949275,
        4.858396308932337,
        4.858416391369748,
        4.858436473807157,
        4.858456556244567,
        4.858476638681978,
        4.858496721119388,
        4.858516803556799,
        4.858536885994208,
        4.858556968431618,
        4.858577050869028,
        4.8585971333064375,
        4.858617215743847,
        4.858637298181257,
        4.858657380618667,
        4.858677463056076,
        4.858697545493488,
        4.858717627930898,
        4.858737710368308,
        4.859139359116507,
        4.859159441553917,
        4.859179523991327,
        4.859199606428737,
        4.859219688866147,
        4.859239771303557,
        4.8592598537409675,
        4.8592799361783765,
        4.859300018615787,
        4.859320101053197,
        4.859340183490607,
        4.859360265928017,
        4.859380348365426,
        4.859400430802837,
        4.859420513240247,
        4.859440595677656,
        4.8594606781150675,
        4.859480760552477,
        4.859500842989887,
        4.859520925427297,
        4.859541007864706,
        4.859561090302117,
        4.859581172739526,
        4.859601255176936,
        4.859621337614347,
        4.859641420051756,
        4.859661502489167,
        4.859681584926577,
        4.859701667363987,
        4.859721749801397,
        4.859741832238806,
        4.859761914676216,
        4.859781997113626,
        4.859802079551036,
        4.859822161988446,
        4.859842244425856,
        4.859862326863267,
        4.859882409300677,
        4.859902491738087,
        4.859922574175497,
        4.8599426566129065,
        4.859962739050316,
        4.859982821487726,
        4.860002903925136,
        4.860022986362546,
        4.860043068799956,
        4.860063151237367,
        4.860083233674777,
        4.860103316112187,
        4.860123398549597,
        4.860143480987006,
        4.8601635634244165,
        4.860183645861826,
        4.860203728299235,
        4.860223810736646,
        4.860243893174056,
        4.860263975611466,
        4.860284058048877,
        4.860304140486286,
        4.860324222923697,
        4.860344305361106,
        4.860364387798516,
        4.8603844702359265,
        4.8604045526733355,
        4.860424635110746,
        4.860444717548156,
        4.860464799985566,
        4.860484882422976,
        4.860504964860386,
        4.860525047297796,
        4.860545129735206,
        4.860565212172616,
        4.860585294610026,
        4.860605377047436,
        4.860625459484846,
        4.860645541922255,
        4.860665624359666,
        4.860685706797076,
        4.860705789234486,
        4.860725871671896,
        4.860745954109305,
        4.860766036546716,
        4.860786118984126,
        4.860806201421535,
        4.860826283858946,
        4.8608463662963555,
        4.860866448733765,
        4.860886531171176,
        4.860906613608585,
        4.860926696045996,
        4.860946778483405,
        4.860966860920815,
        4.860986943358226,
        4.861007025795635,
        4.861027108233046,
        4.8610471906704555,
        4.8610672731078655,
        4.861087355545276,
        4.861107437982685,
        4.861127520420095,
        4.861147602857505,
        4.861167685294915,
        4.861187767732325,
        4.861207850169736,
        4.861227932607146,
        4.861248015044555,
        4.8612680974819655,
        4.8612881799193755,
        4.861308262356785,
        4.861328344794195,
        4.861348427231604,
        4.861368509669015,
        4.861388592106425,
        4.861408674543835,
        4.861428756981246,
        4.861448839418656,
        4.861468921856065,
        4.8614890042934755,
        4.8615090867308846,
        4.861529169168295,
        4.861549251605705,
        4.861569334043114,
        4.861589416480525,
        4.861609498917935,
        4.861629581355345,
        4.861649663792756,
        4.861669746230165,
        4.861689828667576,
        4.861709911104985,
        4.8617299935423945,
        4.861750075979805,
        4.861770158417214,
        4.861790240854624,
        4.861810323292035,
        4.861830405729445,
        4.861850488166855,
        4.861870570604265,
        4.861890653041675,
        4.861910735479085,
        4.861930817916495,
        4.8619509003539045,
        4.8619709827913145,
        4.861991065228725,
        4.862011147666134,
        4.862031230103545,
        4.862051312540955,
        4.862071394978364,
        4.862091477415775,
        4.862111559853184,
        4.862131642290595,
        4.862151724728005,
        4.862171807165414,
        4.862191889602825,
        4.862211972040234,
        4.862232054477644,
        4.862252136915055,
        4.862272219352464,
        4.862292301789875,
        4.862312384227284,
        4.862332466664694,
        4.862352549102105,
        4.862372631539515,
        4.862794362725125,
        4.862814445162534,
        4.862834527599944,
        4.862854610037354,
        4.8628746924747634,
        4.862894774912174,
        4.862914857349583,
        4.862934939786993,
        4.862955022224404,
        4.862975104661814,
        4.862995187099224,
        4.863015269536634,
        4.863035351974044,
        4.863055434411454,
        4.8630755168488635,
        4.863095599286273,
        4.863115681723683,
        4.863135764161093,
        4.863155846598504,
        4.863175929035914,
        4.863196011473324,
        4.863216093910734,
        4.863236176348144,
        4.863256258785554,
        4.863276341222963,
        4.8632964236603735,
        4.863316506097783,
        4.863336588535193,
        4.863356670972604,
        4.863376753410013,
        4.863396835847424,
        4.863416918284834,
        4.863437000722243,
        4.863457083159654,
        4.863477165597063,
        4.863497248034474,
        4.8635173304718835,
        4.8635374129092925,
        4.863557495346704,
        4.863577577784113,
        4.863597660221523,
        4.863617742658934,
        4.863637825096343,
        4.863657907533753,
        4.863677989971163,
        4.863698072408573,
        4.863718154845984,
        4.863738237283393,
        4.863758319720803,
        4.863778402158213,
        4.863798484595623,
        4.863818567033033,
        4.863838649470443,
        4.863858731907853,
        4.863878814345262,
        4.863898896782673,
        4.863918979220083,
        4.863939061657494,
        4.8639591440949035,
        4.8639792265323125,
        4.863999308969723,
        4.864019391407133,
        4.864039473844542,
        4.864059556281953,
        4.864079638719362,
        4.864099721156773,
        4.864119803594183,
        4.864139886031593,
        4.864159968469004,
        4.864180050906413,
        4.8642001333438225,
        4.864220215781233,
        4.864240298218642,
        4.864260380656052,
        4.864280463093462,
        4.864300545530872,
        4.864320627968284,
        4.864340710405693,
        4.864360792843103,
        4.864380875280513,
        4.864400957717923,
        4.8644210401553325,
        4.864441122592742,
        4.864461205030152,
        4.864481287467562,
        4.864501369904972,
        4.864521452342383,
        4.864541534779793,
        4.864561617217203,
        4.864581699654612,
        4.864601782092023,
        4.864621864529433,
        4.864641946966842,
        4.864662029404252,
        4.864682111841661,
        4.864702194279072,
        4.864722276716483,
        4.864742359153892,
        4.864762441591303,
        4.864782524028713,
        4.864802606466122,
        4.864822688903533,
        4.864842771340942,
        4.864862853778352,
        4.864882936215762,
        4.864903018653171,
        4.864923101090583,
        4.864943183527992,
        4.864963265965402,
        4.864983348402813,
        4.865003430840222,
        4.865023513277632,
        4.865043595715042,
        4.865063678152452,
        4.8650837605898625,
        4.865103843027272,
        4.865123925464682,
        4.865144007902092,
        4.865164090339502,
        4.865184172776912,
        4.865204255214322,
        4.865224337651732,
        4.865244420089141,
        4.865264502526552,
        4.865284584963962,
        4.8653046674013725,
        4.865324749838782,
        4.865344832276191,
        4.865364914713602,
        4.865384997151012,
        4.865405079588421,
        4.865425162025832,
        4.865445244463241,
        4.865465326900651,
        4.865485409338063,
        4.865505491775472,
        4.8655255742128825,
        4.8655456566502915,
        4.865565739087701,
        4.865585821525112,
        4.865605903962521,
        4.865625986399931,
        4.865646068837341,
        4.865666151274751,
        4.865686233712162,
        4.865706316149572,
        4.865726398586982,
        4.865746481024392,
        4.8657665634618015,
        4.865786645899211,
        4.865806728336621,
        4.865826810774031,
        4.86584689321144,
        4.865866975648851,
        4.865887058086262,
        4.865907140523672,
        4.865927222961082,
        4.865947305398491,
        4.8659673878359015,
        4.8659874702733115,
        4.8660075527107205,
        4.866027635148131,
        4.86604771758554,
        4.866429283896331,
        4.8664493663337405,
        4.866469448771151,
        4.866489531208561,
        4.866509613645971,
        4.866529696083381,
        4.866549778520791,
        4.866569860958201,
        4.866589943395611,
        4.86661002583302,
        4.866630108270431,
        4.8666501907078406,
        4.8666702731452505,
        4.866690355582661,
        4.86671043802007,
        4.866730520457481,
        4.866750602894891,
        4.8667706853323,
        4.866790767769711,
        4.86681085020712,
        4.86683093264453,
        4.866851015081941,
        4.8668710975193505,
        4.866891179956761,
        4.86691126239417,
        4.86693134483158,
        4.866951427268991,
        4.8669715097064,
        4.86699159214381,
        4.86701167458122,
        4.86703175701863,
        4.867051839456041,
        4.867071921893451,
        4.8670920043308605,
        4.8671120867682705,
        4.86713216920568,
        4.86715225164309,
        4.8671723340805,
        4.86719241651791,
        4.867212498955319,
        4.86723258139273,
        4.867252663830141,
        4.86727274626755,
        4.867292828704961,
        4.86731291114237,
        4.86733299357978,
        4.86735307601719,
        4.867373158454599,
        4.86739324089201,
        4.867413323329419,
        4.86743340576683,
        4.867453488204241,
        4.86747357064165,
        4.867493653079061,
        4.86751373551647,
        4.86753381795388,
        4.86755390039129,
        4.8675739828286995,
        4.867594065266109,
        4.867614147703519,
        4.86763423014093,
        4.86765431257834,
        4.86767439501575,
        4.86769447745316,
        4.86771455989057,
        4.86773464232798,
        4.86775472476539,
        4.8677748072027995,
        4.8677948896402095,
        4.8678149720776185,
        4.86783505451503,
        4.86785513695244,
        4.86787521938985,
        4.86789530182726,
        4.867915384264669,
        4.86793546670208,
        4.86795554913949,
        4.867975631576899,
        4.8679957140143095,
        4.868015796451719,
        4.868035878889129,
        4.86805596132654,
        4.868076043763949,
        4.86809612620136,
        4.86811620863877,
        4.868136291076179,
        4.86815637351359,
        4.868176455950999,
        4.868196538388409,
        4.86821662082582,
        4.868236703263229,
        4.868256785700639,
        4.868276868138049,
        4.868296950575459,
        4.86831703301287,
        4.868337115450279,
        4.868357197887689,
        4.868377280325099,
        4.868397362762509,
        4.86841744519992,
        4.8684375276373295,
        4.868457610074739,
        4.868477692512149,
        4.868497774949559,
        4.868517857386969,
        4.868537939824379,
        4.868558022261789,
        4.868578104699198,
        4.868598187136609,
        4.86861826957402,
        4.868638352011429,
        4.8686584344488395,
        4.8686785168862485,
        4.868698599323659,
        4.868718681761069,
        4.868738764198478,
        4.868758846635889,
        4.868778929073298,
        4.868799011510708,
        4.86881909394812,
        4.868839176385529,
        4.868859258822939,
        4.868879341260349,
        4.8688994236977585,
        4.868919506135169,
        4.868939588572578,
        4.868959671009988,
        4.868979753447398,
        4.868999835884809,
        4.869019918322219,
        4.869040000759629,
        4.869060083197039,
        4.869080165634449,
        4.869100248071859,
        4.8691203305092685,
        4.869140412946678,
        4.869160495384088,
        4.869180577821497,
        4.869200660258909,
        4.869220742696319,
        4.869240825133728,
        4.869260907571139,
        4.869280990008548,
        4.869301072445959,
        4.869321154883369,
        4.869341237320778,
        4.869361319758188,
        4.869381402195598,
        4.869401484633008,
        4.869421567070419,
        4.869441649507828,
        4.869461731945238,
        4.869481814382648,
        4.869501896820058,
        4.869521979257469,
        4.869542061694878,
        4.869562144132288,
        4.869582226569699,
        4.869602309007108,
        4.869622391444518,
        4.869642473881928,
        4.869662556319338,
        4.869682638756749,
        4.869702721194158,
        4.870064205067537,
        4.870084287504948,
        4.870104369942357,
        4.870124452379768,
        4.870144534817177,
        4.870164617254588,
        4.870184699691999,
        4.870204782129408,
        4.870224864566818,
        4.8702449470042275,
        4.870265029441637,
        4.870285111879048,
        4.870305194316457,
        4.870325276753867,
        4.870345359191277,
        4.870365441628688,
        4.870385524066098,
        4.870405606503508,
        4.870425688940918,
        4.870445771378327,
        4.8704658538157375,
        4.870485936253147,
        4.870506018690557,
        4.870526101127967,
        4.870546183565376,
        4.870566266002788,
        4.870586348440198,
        4.874653042015719,
        4.879161549214261,
        4.87918163165167,
        4.8792017140890795,
        4.87922179652649,
        4.879241878963899,
        4.87926196140131,
        4.879282043838719,
        4.879302126276129,
        4.879322208713541,
        4.87934229115095,
        4.87936237358836,
        4.879382456025771,
        4.87940253846318,
        4.8794226209005895,
        4.8794427033379995,
        4.879462785775409,
        4.87948286821282,
        4.87950295065023,
        4.87952303308764,
        4.87954311552505,
        4.87956319796246,
        4.87958328039987,
        4.87960336283728,
        4.87962344527469,
        4.879643527712099,
        4.8796636101495094,
        4.879683692586919,
        4.87970377502433,
        4.87972385746174,
        4.879743939899149,
        4.87976402233656,
        4.87978410477397,
        4.879804187211379,
        4.87982426964879,
        4.879844352086199,
        4.8798644345236095,
        4.879884516961019,
        4.879904599398429,
        4.87992468183584,
        4.879944764273249,
        4.879964846710659,
        4.87998492914807,
        4.880005011585479,
        4.880025094022889,
        4.880045176460299,
        4.880065258897709,
        4.8800853413351195,
        4.880105423772529,
        4.880125506209939,
        4.880145588647349,
        4.880165671084759,
        4.880185753522169,
        4.880205835959579,
        4.880225918396989,
        4.880246000834398,
        4.880266083271809,
        4.88028616570922,
        4.8803062481466295,
        4.880326330584039,
        4.8803464130214484,
        4.880366495458859,
        4.880386577896269,
        4.880406660333678,
        4.880426742771089,
        4.880446825208498,
        4.880466907645909,
        4.88048699008332,
        4.880507072520729,
        4.8805271549581395,
        4.8805472373955485,
        4.880567319832958,
        4.880587402270369,
        4.880607484707778,
        4.880627567145188,
        4.880647649582598,
        4.880667732020008,
        4.88068781445742,
        4.8809890510185685,
        4.8810091334559775,
        4.881029215893388,
        4.881049298330798,
        4.881069380768209,
        4.881089463205619,
        4.881109545643028,
        4.881129628080439,
        4.881149710517849,
        4.881169792955258,
        4.881189875392669,
        4.881209957830078,
        4.8812300402674875,
        4.881250122704898,
        4.881270205142308,
        4.881290287579719,
        4.881310370017128,
        4.881330452454538,
        4.881350534891949,
        4.881370617329358,
        4.881390699766768,
        4.881410782204178,
        4.881430864641588,
        4.881450947078999,
        4.881471029516408,
        4.881491111953818,
        4.881511194391228,
        4.881531276828638,
        4.881551359266048,
        4.881571441703458,
        4.881591524140868,
        4.881611606578277,
        4.881631689015688,
        4.8816517714530985,
        4.881671853890508,
        4.881691936327918,
        4.881712018765327,
        4.881732101202738,
        4.881752183640148,
        4.881772266077557,
        4.881792348514968,
        4.881812430952377,
        4.881832513389787,
        4.8818525958271985,
        4.881872678264608,
        4.881892760702018,
        4.881912843139427,
        4.881932925576837,
        4.881953008014248,
        4.881973090451657,
        4.881993172889067,
        4.882013255326477,
        4.882033337763887,
        4.882053420201299,
        4.882073502638708,
        4.882093585076118,
        4.8821136675135275,
        4.882133749950937,
        4.882153832388347,
        4.882173914825757,
        4.882193997263167,
        4.882214079700576,
        4.882234162137988,
        4.882254244575398,
        4.882274327012808,
        4.882294409450218,
        4.882314491887627,
        4.8823345743250375,
        4.882354656762447,
        4.882374739199856,
        4.882394821637267,
        4.882414904074676,
        4.882434986512087,
        4.882455068949498,
        4.882475151386907,
        4.882495233824318,
        4.882515316261727,
        4.882535398699137,
        4.8825554811365475,
        4.8825755635739565,
        4.882595646011366,
        4.882615728448776,
        4.882635810886187,
        4.882655893323598,
        4.882675975761007,
        4.882696058198417,
        4.882716140635828,
        4.882736223073237,
        4.882756305510647,
        4.882776387948057,
        4.8827964703854665,
        4.882816552822876,
        4.882836635260287,
        4.882856717697697,
        4.882876800135107,
        4.882896882572517,
        4.882916965009927,
        4.882937047447337,
        4.882957129884747,
        4.882977212322156,
        4.882997294759567,
        4.883017377196977,
        4.883037459634386,
        4.883057542071797,
        4.883077624509206,
        4.883097706946617,
        4.883117789384027,
        4.883137871821436,
        4.883157954258847,
        4.883178036696256,
        4.883198119133666,
        4.883218201571077,
        4.8832382840084865,
        4.883258366445897,
        4.883278448883306,
        4.883298531320716,
        4.883318613758127,
        4.883338696195536,
        4.883358778632946,
        4.883378861070356,
        4.883398943507766,
        4.883419025945177,
        4.8834391083825865,
        4.8834591908199965,
        4.883479273257406,
        4.883499355694816,
        4.883519438132226,
        4.883539520569636,
        4.883559603007046,
        4.883579685444455,
        4.883599767881866,
        4.883619850319277,
        4.883639932756686,
        4.8836600151940965,
        4.883680097631506,
        4.883700180068916,
        4.883720262506326,
        4.883740344943735,
        4.883760427381146,
        4.883780509818555,
        4.883800592255966,
        4.883820674693377,
        4.883840757130786,
        4.883860839568197,
        4.883880922005606,
        4.883901004443016,
        4.883921086880426,
        4.883941169317835,
        4.883961251755245,
        4.883981334192655,
        4.884001416630066,
        4.884021499067476,
        4.884041581504886,
        4.884061663942296,
        4.884081746379706,
        4.884101828817116,
        4.884563724877545,
        4.884583807314956,
        4.884603889752365,
        4.884623972189775,
        4.884644054627185,
        4.884664137064595,
        4.884684219502006,
        4.884704301939415,
        4.884724384376825,
        4.884744466814235,
        4.884764549251645,
        4.8847846316890555,
        4.884804714126465,
        4.884824796563875,
        4.884844879001285,
        4.884864961438695,
        4.884885043876105,
        4.884905126313515,
        4.884925208750925,
        4.884945291188334,
        4.884965373625746,
        4.884985456063156,
        4.885005538500565,
        4.885025620937975,
        4.8850457033753845,
        4.885065785812795,
        4.885085868250205,
        4.885105950687614,
        4.885126033125025,
        4.885146115562434,
        4.885166197999845,
        4.885186280437256,
        4.885206362874665,
        4.885226445312075,
        4.8852465277494845,
        4.8852666101868945,
        4.885286692624305,
        4.885306775061714,
        4.885326857499124,
        4.885346939936534,
        4.885367022373945,
        4.885387104811355,
        4.885407187248765,
        4.885427269686175,
        4.885447352123585,
        4.8854674345609945,
        4.8854875169984044,
        4.885507599435814,
        4.885527681873224,
        4.885547764310633,
        4.885567846748045,
        4.885587929185455,
        4.885608011622864,
        4.885628094060275,
        4.885648176497684,
        4.885668258935095,
        4.8856883413725045,
        4.8857084238099135,
        4.885728506247324,
        4.885748588684735,
        4.885768671122144,
        4.885788753559555,
        4.885808835996964,
        4.885828918434374,
        4.885849000871785,
        4.885869083309194,
        4.885889165746605,
        4.885909248184014,
        4.8859293306214235,
        4.885949413058835,
        4.885969495496244,
        4.885989577933654,
        4.886009660371064,
        4.886029742808474,
        4.886049825245885,
        4.886069907683294,
        4.886089990120704,
        4.886110072558114,
        4.8861301549955245,
        4.886150237432934,
        4.886170319870344,
        4.886190402307754,
        4.886210484745163,
        4.886230567182574,
        4.886250649619984,
        4.886270732057394,
        4.886290814494804,
        4.886310896932213,
        4.886330979369625,
        4.8863510618070345,
        4.8863711442444435,
        4.886391226681854,
        4.886411309119263,
        4.886431391556673,
        4.886451473994084,
        4.886471556431493,
        4.886491638868904,
        4.886511721306313,
        4.886531803743724,
        4.886551886181135,
        4.886571968618544,
        4.8865920510559535,
        4.886612133493363,
        4.886933452491924,
        4.886953534929334,
        4.886973617366743,
        4.886993699804154,
        4.887013782241563,
        4.887033864678973,
        4.887053947116383,
        4.887074029553792,
        4.887094111991203,
        4.887114194428613,
        4.887134276866023,
        4.887154359303434,
        4.887174441740843,
        4.887194524178253,
        4.887214606615663,
        4.887234689053073,
        4.8872547714904835,
        4.8872748539278925,
        4.887294936365303,
        4.887315018802713,
        4.887335101240123,
        4.887355183677533,
        4.887375266114943,
        4.887395348552353,
        4.887415430989762,
        4.887435513427173,
        4.887455595864583,
        4.887475678301993,
        4.887495760739403,
        4.887515843176813,
        4.887535925614223,
        4.887556008051633,
        4.887576090489042,
        4.887596172926453,
        4.887616255363863,
        4.887636337801273,
        4.887656420238683,
        4.887676502676092,
        4.8876965851135035,
        4.887716667550913,
        4.887736749988322,
        4.887756832425733,
        4.887776914863142,
        4.887796997300552,
        4.887817079737963,
        4.887837162175372,
        4.887857244612783,
        4.887877327050192,
        4.887897409487603,
        4.8879174919250135,
        4.8879375743624225,
        4.8881584811739325,
        4.8881785636113415,
        4.888198646048752,
        4.888218728486162,
        4.888238810923572,
        4.888258893360982,
        4.888278975798392,
        4.888299058235803,
        4.888319140673213,
        4.888339223110622,
        4.8883593055480326,
        4.888379387985442,
        4.8883994704228515,
        4.888419552860262,
        4.888439635297671,
        4.888459717735082,
        4.888479800172492,
        4.888499882609902,
        4.888519965047313,
        4.888540047484722,
        4.888560129922132,
        4.888580212359542,
        4.888600294796952,
        4.8886203772343615,
        4.888640459671771,
        4.888660542109181,
        4.888680624546592,
        4.888700706984002,
        4.888720789421412,
        4.888740871858822,
        4.888760954296232,
        4.888781036733641,
        4.888801119171052,
        4.888821201608462,
        4.8888412840458715,
        4.888861366483282,
        4.888881448920691,
        4.888901531358102,
        4.888921613795512,
        4.888941696232921,
        4.888961778670332,
        4.888981861107741,
        4.889001943545151,
        4.889022025982562,
        4.889042108419971,
        4.889062190857382,
        4.889082273294792,
        4.889102355732201,
        4.889122438169612,
        4.889142520607021,
        4.889162603044431,
        4.889182685481842,
        4.889202767919251,
        4.889222850356661,
        4.889242932794072,
        4.8892630152314815,
        4.889283097668892,
        4.889303180106301,
        4.889323262543711,
        4.889343344981121,
        4.889363427418531,
        4.889383509855941,
        4.889403592293351,
        4.889423674730761,
        4.889443757168172,
        4.889463839605582,
        4.8894839220429915,
        4.8895040044804015,
        4.889524086917811,
        4.88954416935522,
        4.889564251792631,
        4.889584334230041,
        4.88960441666745,
        4.889624499104861,
        4.889644581542271,
        4.889664663979682,
        4.889684746417092,
        4.889704828854501,
        4.8897249112919114,
        4.8897449937293205,
        4.88976507616673,
        4.889785158604141,
        4.88980524104155,
        4.88982532347896,
        4.889845405916371,
        4.889865488353781,
        4.889885570791192,
        4.889905653228601,
        4.889925735666011,
        4.8899458181034205,
        4.8899659005408305,
        4.88998598297824,
        4.89000606541565,
        4.890026147853061,
        4.890046230290471,
        4.890066312727881,
        4.890086395165291,
        4.890106477602701,
        4.890126560040111,
        4.89014664247752,
        4.8901667249149305,
        4.8901868073523405,
        4.8902068897897495,
        4.890226972227161,
        4.89024705466457,
        4.890267137101981,
        4.890287219539391,
        4.8903073019768,
        4.890327384414211,
        4.89034746685162,
        4.89036754928903,
        4.8903876317264405,
        4.89040771416385,
        4.89042779660126,
        4.89044787903867,
        4.89046796147608,
        4.890488043913491,
        4.8905081263509,
        4.89052820878831,
        4.89054829122572,
        4.89056837366313,
        4.89058845610054,
        4.89060853853795,
        4.89062862097536,
        4.890648703412771,
        4.89066878585018,
        4.89068886828759,
        4.890708950725,
        4.89072903316241,
        4.89074911559982,
        4.89076919803723,
        4.89078928047464,
        4.89080936291205,
        4.8908294453494605,
        4.89084952778687,
        4.89086961022428,
        4.89088969266169,
        4.890909775099099,
        4.89092985753651,
        4.89094993997392,
        4.890970022411329,
        4.89099010484874,
        4.89101018728615,
        4.891030269723561,
        4.8910503521609705,
        4.8910704345983795,
        4.89109051703579,
        4.891110599473199,
        4.891130681910609,
        4.89115076434802,
        4.891170846785429,
        4.89119092922284,
        4.89121101166025,
        4.89123109409766,
        4.891251176535071,
        4.89127125897248,
        4.8912913414098895,
        4.8913114238472994,
        4.891331506284709,
        4.891351588722119,
        4.891371671159529,
        4.89139175359694,
        4.891411836034349,
        4.89143191847176,
        4.89145200090917,
        4.89147208334658,
        4.89149216578399,
        4.891512248221399,
        4.891532330658809,
        4.891552413096219,
        4.891753237470319,
        4.8917733199077285,
        4.891793402345139,
        4.891813484782549,
        4.891833567219959,
        4.89185364965737,
        4.891873732094779,
        4.891893814532189,
        4.891913896969599,
        4.891933979407009,
        4.891954061844419,
        4.891974144281829,
        4.891994226719239,
        4.892014309156648,
        4.892034391594059,
        4.892054474031469,
        4.892074556468879,
        4.892094638906289,
        4.892114721343698,
        4.892134803781109,
        4.892154886218519,
        4.892174968655929,
        4.892195051093339,
        4.892215133530748,
        4.892235215968159,
        4.892255298405569,
        4.892275380842978,
        4.892295463280389,
        4.892315545717798,
        4.892335628155208,
        4.892355710592619,
        4.892375793030029,
        4.892395875467439,
        4.892415957904849,
        4.892436040342258,
        4.892456122779669,
        4.892636864716358,
        4.893299585150888,
        4.8933196675882975,
        4.893339750025708,
        4.893359832463118,
        4.893379914900527,
        4.893399997337938,
        4.893420079775348,
        4.893440162212758,
        4.893460244650168,
        4.8937614812113175,
        4.893781563648727,
        4.893801646086137,
        4.893821728523547,
        4.893841810960957,
        4.893861893398367,
        4.893881975835777,
        4.893902058273187,
        4.893922140710598,
        4.893942223148008,
        4.893962305585418,
        4.8939823880228275,
        4.894002470460237,
        4.894022552897647,
        4.894042635335057,
        4.894062717772467,
        4.894082800209877,
        4.894102882647287,
        4.894122965084698,
        4.894143047522107,
        4.894163129959518,
        4.8941832123969276,
        4.894203294834337,
        4.894223377271747,
        4.894243459709156,
        4.894263542146567,
        4.894283624583977,
        4.894303707021387,
        4.894323789458798,
        4.894343871896207,
        4.894363954333617,
        4.894384036771028,
        4.894404119208437,
        4.8944242016458475,
        4.8944442840832565,
        4.894464366520666,
        4.894484448958077,
        4.894504531395487,
        4.894524613832897,
        4.894544696270307,
        4.894564778707717,
        4.894584861145127,
        4.894604943582537,
        4.894625026019947,
        4.894645108457357,
        4.8946651908947665,
        4.894685273332176,
        4.894705355769587,
        4.894725438206997,
        4.894745520644406,
        4.894765603081817,
        4.894785685519227,
        4.894805767956636,
        4.894825850394047,
        4.894845932831456,
        4.8948660152688666,
        4.8948860977062765,
        4.894906180143686,
        4.894926262581097,
        4.894946345018506,
        4.894966427455916,
        4.894986509893327,
        4.895006592330736,
        4.895026674768147,
        4.895046757205556,
        4.895066839642966,
        4.895086922080377,
        4.8951070045177865,
        4.895127086955196,
        4.895147169392606,
        4.895167251830016,
        4.895187334267426,
        4.895207416704836,
        4.8953479937667055,
        4.895368076204116,
        4.895388158641526,
        4.895408241078935,
        4.895428323516346,
        4.895448405953755,
        4.895468488391166,
        4.895488570828577,
        4.895508653265986,
        4.8955287357033965,
        4.8955488181408064,
        4.8955689005782155,
        4.895588983015626,
        4.895609065453035,
        4.895629147890446,
        4.895649230327856,
        4.895669312765265,
        4.895689395202677,
        4.895709477640086,
        4.895729560077496,
        4.8957496425149065,
        4.8957697249523155,
        4.8957898073897255,
        4.895809889827135,
        4.895829972264545,
        4.895850054701956,
        4.895870137139366,
        4.895890219576776,
        4.895910302014186,
        4.895930384451596,
        4.895950466889006,
        4.895970549326416,
        4.8959906317638255,
        4.896010714201235,
        4.896030796638645,
        4.896050879076055,
        4.896070961513466,
        4.896091043950876,
        4.896111126388285,
        4.896131208825696,
        4.896151291263106,
        4.896171373700515,
        4.896191456137926,
        4.896211538575335,
        4.8962316210127454,
        4.896251703450156,
        4.896271785887565,
        4.896291868324976,
        4.896311950762385,
        4.896332033199795,
        4.896352115637206,
        4.896372198074615,
        4.896392280512025,
        4.896412362949435,
        4.896432445386845,
        4.896452527824256,
        4.896472610261665,
        4.896492692699075,
        4.896512775136485,
        4.896532857573895,
        4.896552940011305,
        4.896573022448715,
        4.896593104886125,
        4.896613187323534,
        4.896633269760945,
        4.8966533521983555,
        4.896673434635765,
        4.896693517073175,
        4.896713599510584,
        4.896733681947995,
        4.896753764385405,
        4.896773846822814,
        4.896793929260225,
        4.896814011697634,
        4.896834094135045,
        4.896854176572456,
        4.896874259009865,
        4.896894341447275,
        4.8969144238846845,
        4.896934506322094,
        4.896954588759505,
        4.896974671196914,
        4.896994753634324,
        4.897014836071734,
        4.897034918509145,
        4.897055000946556,
        4.897075083383965,
        4.897095165821375,
        4.8971152482587845,
        4.897135330696194,
        4.897155413133604,
        4.897175495571014,
        4.897195578008424,
        4.897215660445834,
        4.897235742883245,
        4.897255825320655,
        4.897275907758065,
        4.897295990195475,
        4.897316072632885,
        4.8973361550702945,
        4.897356237507704,
        4.8973763199451135,
        4.897396402382524,
        4.897416484819934,
        4.897436567257345,
        4.897456649694755,
        4.897476732132164,
        4.897496814569575,
        4.897516897006985,
        4.897536979444394,
        4.8975570618818045,
        4.8975771443192135,
        4.8975972267566235,
        4.897617309194034,
        4.897637391631444,
        4.897657474068855,
        4.897677556506264,
        4.897697638943674,
        4.897717721381085,
        4.897737803818494,
        4.897757886255904,
        4.897777968693314,
        4.8977980511307235,
        4.897818133568135,
        4.897838216005544,
        4.897858298442954,
        4.897878380880364,
        4.897898463317774,
        4.897918545755184,
        4.897938628192594,
        4.897958710630004,
        4.897978793067413,
        4.897998875504824,
        4.898018957942234,
        4.898039040379644,
        4.898059122817054,
        4.898079205254463,
        4.898099287691874,
        4.898119370129284,
        4.898139452566693,
        4.898159535004104,
        4.898179617441513,
        4.898199699878924,
        4.8982197823163345,
        4.898852379094747,
        4.900007119245822,
        4.9000272016832325,
        4.9000472841206415,
        4.900067366558052,
        4.900087448995462,
        4.900107531432871,
        4.900127613870282,
        4.900147696307692,
        4.900167778745102,
        4.900187861182513,
        4.900207943619922,
        4.9002280260573325,
        4.900248108494742,
        4.9002681909321515,
        4.900288273369562,
        4.900308355806971,
        4.900328438244381,
        4.900348520681793,
        4.900368603119202,
        4.900388685556612,
        4.900408767994022,
        4.900428850431432,
        4.9004489328688425,
        4.900469015306252,
        4.9004890977436615,
        4.900509180181071,
        4.900529262618481,
        4.900549345055892,
        4.900569427493302,
        4.900589509930712,
        4.900609592368122,
        4.900629674805532,
        4.900649757242942,
        4.900669839680352,
        4.9006899221177616,
        4.900710004555171,
        4.900730086992581,
        4.900750169429992,
        4.900770251867401,
        4.900790334304812,
        4.900810416742221,
        4.900830499179632,
        4.900850581617042,
        4.900870664054451,
        4.900890746491862,
        4.900910828929271,
        4.9009309113666815,
        4.900950993804092,
        4.900971076241501,
        4.900991158678911,
        4.901011241116321,
        4.901031323553731,
        4.901051405991142,
        4.901071488428551,
        4.901091570865961,
        4.901111653303371,
        4.9011317357407815,
        4.9011518181781915,
        4.901171900615601,
        4.901191983053011,
        4.901212065490421,
        4.901232147927831,
        4.901252230365241,
        4.901272312802651,
        4.901292395240061,
        4.901312477677471,
        4.901332560114882,
        4.9013526425522915,
        4.901372724989701,
        4.901392807427111,
        4.90141288986452,
        4.901432972301931,
        4.901453054739341,
        4.90147313717675,
        4.901493219614161,
        4.901513302051571,
        4.901533384488981,
        4.901553466926392,
        4.901573549363801,
        4.9015936318012105,
        4.9016137142386205,
        4.90163379667603,
        4.901653879113441,
        4.90167396155085,
        4.90169404398826,
        4.901714126425671,
        4.901734208863081,
        4.901754291300491,
        4.901774373737901,
        4.901794456175311,
        4.9018145386127205,
        4.9018346210501305,
        4.90185470348754,
        4.90187478592495,
        4.90189486836236,
        4.90191495079977,
        4.901935033237181,
        4.901955115674591,
        4.901975198112,
        4.901995280549411,
        4.90201536298682,
        4.9020354454242305,
        4.9020555278616404,
        4.9020756102990495,
        4.902095692736461,
        4.902115775173871,
        4.90213585761128,
        4.902155940048691,
        4.9021760224861,
        4.90219610492351,
        4.902216187360921,
        4.90223626979833,
        4.9022563522357405,
        4.9022764346731496,
        4.90229651711056,
        4.902316599547971,
        4.90233668198538,
        4.90235676442279,
        4.9023768468602,
        4.90239692929761,
        4.902417011735021,
        4.90243709417243,
        4.90245717660984,
        4.90247725904725,
        4.90249734148466,
        4.90251742392207,
        4.90253750635948,
        4.90255758879689,
        4.902577671234299,
        4.90259775367171,
        4.90261783610912,
        4.90263791854653,
        4.90265800098394,
        4.902678083421349,
        4.9026981658587605,
        4.90271824829617,
        4.9027383307335795,
        4.90275841317099,
        4.902778495608399,
        4.902798578045809,
        4.90281866048322,
        4.902838742920629,
        4.90285882535804,
        4.90287890779545,
        4.90289899023286,
        4.9029190726702705,
        4.9029391551076795,
        4.902959237545089,
        4.902979319982499,
        4.902999402419909,
        4.90301948485732,
        4.903039567294729,
        4.903059649732139,
        4.90307973216955,
        4.90309981460696,
        4.90311989704437,
        4.90313997948178,
        4.9031600619191895,
        4.9031801443565985,
        4.903200226794009,
        4.903220309231419,
        4.903240391668829,
        4.90326047410624,
        4.903280556543649,
        4.90330063898106,
        4.90332072141847,
        4.903340803855879,
        4.90336088629329,
        4.903380968730699,
        4.9034010511681085,
        4.903421133605519,
        4.903441216042928,
        4.90346129848034,
        4.903481380917749,
        4.903501463355159,
        4.90352154579257,
        4.903541628229979,
        4.903561710667389,
        4.903581793104799,
        4.9038428647911285,
        4.903862947228539,
        4.903883029665949,
        4.903903112103359,
        4.903923194540769,
        4.903943276978178,
        4.903963359415589,
        4.903983441852999,
        4.904003524290409,
        4.904023606727819,
        4.904043689165229,
        4.904063771602639,
        4.904083854040049,
        4.904103936477458,
        4.904124018914869,
        4.904144101352278,
        4.904164183789688,
        4.904184266227099,
        4.904204348664508,
        4.904224431101919,
        4.904244513539329,
        4.904264595976739,
        4.904284678414149,
        4.904304760851558,
        4.904324843288968,
        4.904344925726378,
        4.904365008163788,
        4.904385090601198,
        4.904405173038608,
        4.904425255476018,
        4.904445337913429,
        4.904465420350839,
        4.904485502788249,
        4.9045055852256585,
        4.904525667663068,
        4.904545750100477,
        4.904565832537888,
        4.904585914975298,
        4.904605997412708,
        4.904626079850118,
        4.904646162287528,
        4.904666244724939,
        4.904686327162349,
        4.904706409599758,
        4.9047264920371685,
        4.9047465744745775,
        4.904766656911987,
        4.904786739349398,
        4.904806821786807,
        4.904826904224219,
        4.904846986661628,
        4.904867069099038,
        4.904887151536449,
        4.904907233973858,
        4.904927316411268,
        4.904947398848678,
        4.9049674812860875,
        4.904987563723497,
        4.905007646160907,
        4.905027728598318,
        4.905047811035728,
        4.905067893473138,
        4.905087975910548,
        4.905108058347958,
        4.905128140785368,
        4.905148223222777,
        4.905168305660188,
        4.9051883880975975,
        4.905208470535008,
        4.905228552972418,
        4.905248635409828,
        4.905268717847238,
        4.905288800284648,
        4.905308882722057,
        4.905328965159468,
        4.905349047596878,
        4.905369130034287,
        4.905389212471698,
        4.9054092949091075,
        4.905429377346518,
        4.905710531470257,
        4.905730613907667,
        4.905750696345077,
        4.905770778782487,
        4.905790861219897,
        4.905810943657308,
        4.9058310260947176,
        4.9058511085321275,
        4.905871190969537,
        4.905891273406947,
        4.905911355844356,
        4.905931438281767,
        4.905951520719177,
        4.905971603156586,
        4.905991685593998,
        4.906011768031407,
        4.906031850468818,
        4.9060519329062275,
        4.906072015343637,
        4.906092097781047,
        4.906112180218456,
        4.906132262655866,
        4.906152345093277,
        4.906172427530686,
        4.906192509968097,
        4.906212592405507,
        4.906232674842917,
        4.906252757280328,
        4.906272839717737,
        4.906292922155147,
        4.9063130045925565,
        4.906333087029966,
        4.906353169467376,
        4.906373251904786,
        4.906393334342197,
        4.906413416779607,
        4.906433499217017,
        4.906453581654427,
        4.906473664091837,
        4.906493746529247,
        4.906513828966656,
        4.9065339114040665,
        4.906553993841476,
        4.906574076278885,
        4.906594158716297,
        4.906614241153706,
        4.906634323591117,
        4.906654406028527,
        4.906674488465936,
        4.906694570903347,
        4.906714653340756,
        4.906734735778166,
        4.9067548182155765,
        4.906774900652986,
        4.906794983090396,
        4.906815065527806,
        4.906835147965216,
        4.906855230402627,
        4.906875312840036,
        4.906895395277446,
        4.906915477714856,
        4.906935560152266,
        4.906955642589676,
        4.9069757250270865,
        4.906995807464496,
        4.907015889901907,
        4.907035972339316,
        4.907056054776726,
        4.907076137214136,
        4.907096219651546,
        4.907116302088956,
        4.907136384526366,
        4.907156466963777,
        4.907176549401186,
        4.9071966318385964,
        4.907216714276006,
        4.907236796713416,
        4.907256879150826,
        4.907276961588235,
        4.907297044025646,
        4.907317126463056,
        4.907337208900465,
        4.907357291337877,
        4.907377373775286,
        4.9073974562126965,
        4.907417538650106,
        4.9074376210875155,
        4.907457703524926,
        4.907477785962335,
        4.907497868399745,
        4.907517950837156,
        4.907538033274565,
        4.907558115711976,
        4.907578198149386,
        4.907598280586796,
        4.9076183630242065,
        4.9076384454616155,
        4.9076585278990255,
        4.907678610336435,
        4.907698692773845,
        4.907718775211255,
        4.907738857648665,
        4.907758940086076,
        4.907779022523485,
        4.907799104960896,
        4.907819187398306,
        4.907839269835716,
        4.9078593522731255,
        4.907879434710535,
        4.907899517147945,
        4.907919599585355,
        4.907939682022765,
        4.907959764460176,
        4.911624809287497,
        4.915852162362299,
        4.915872244799708,
        4.915892327237119,
        4.915912409674528,
        4.9159324921119385,
        4.915952574549349,
        4.915972656986758,
        4.915992739424169,
        4.916012821861578,
        4.916032904298988,
        4.916052986736399,
        4.916073069173808,
        4.916093151611218,
        4.916113234048629,
        4.916133316486039,
        4.9161533989234485,
        4.916173481360858,
        4.916193563798268,
        4.916213646235678,
        4.916233728673088,
        4.916253811110498,
        4.916273893547908,
        4.916293975985318,
        4.916314058422728,
        4.916334140860139,
        4.916354223297549,
        4.916374305734958,
        4.916394388172368,
        4.916414470609777,
        4.916434553047188,
        4.916454635484598,
        4.916474717922007,
        4.916494800359418,
        4.916514882796828,
        4.916534965234238,
        4.916555047671649,
        4.916575130109058,
        4.9165952125464685,
        4.9166152949838775,
        4.916635377421287,
        4.916655459858698,
        4.916675542296107,
        4.916695624733517,
        4.916715707170929,
        4.916735789608338,
        4.916755872045748,
        4.916775954483158,
        4.916796036920568,
        4.9168161193579785,
        4.9168362017953875,
        4.916856284232797,
        4.916876366670207,
        4.916896449107618,
        4.916916531545028,
        4.916936613982438,
        4.916956696419848,
        4.916976778857258,
        4.916996861294668,
        4.917016943732078,
        4.917037026169488,
        4.9170571086068975,
        4.9170771910443065,
        4.917097273481718,
        4.917117355919128,
        4.917137438356537,
        4.917157520793948,
        4.917177603231357,
        4.917197685668768,
        4.917217768106178,
        4.917237850543587,
        4.917257932980998,
        4.917278015418407,
        4.917298097855817,
        4.917318180293228,
        4.917338262730637,
        4.917358345168047,
        4.917378427605457,
        4.917398510042867,
        4.917418592480278,
        4.917438674917687,
        4.917458757355097,
        4.917478839792507,
        4.9174989222299175,
        4.917519004667327,
        4.917539087104737,
        4.917559169542147,
        4.917579251979557,
        4.917599334416967,
        4.917619416854377,
        4.917639499291787,
        4.917659581729197,
        4.917679664166607,
        4.9176997466040175,
        4.9177198290414275,
        4.9177399114788365,
        4.917759993916247,
        4.917780076353656,
        4.917800158791067,
        4.917820241228477,
        4.917840323665886,
        4.917860406103297,
        4.917880488540707,
        4.917900570978117,
        4.9179206534155275,
        4.917940735852937,
        4.9179608182903465,
        4.917980900727756,
        4.918000983165166,
        4.918021065602577,
        4.918041148039986,
        4.918061230477397,
        4.918081312914807,
        4.918101395352217,
        4.918121477789627,
        4.918141560227037,
        4.9181616426644466,
        4.9181817251018565,
        4.918201807539266,
        4.918221889976676,
        4.918241972414086,
        4.918262054851497,
        4.918282137288907,
        4.918302219726317,
        4.918322302163727,
        4.918342384601136,
        4.918362467038547,
        4.9183825494759565,
        4.9184026319133665,
        4.918422714350776,
        4.918442796788186,
        4.918462879225597,
        4.918482961663007,
        4.918503044100416,
        4.918523126537827,
        4.918543208975236,
        4.918563291412646,
        4.918583373850057,
        4.918603456287466,
        4.9186235387248765,
        4.9186436211622855,
        4.918663703599696,
        4.918683786037107,
        4.918703868474516,
        4.918723950911926,
        4.918744033349336,
        4.918764115786746,
        4.918784198224157,
        4.918804280661566,
        4.918824363098976,
        4.9188444455363864,
        4.918864527973796,
        4.918884610411206,
        4.918904692848616,
        4.918924775286026,
        4.918944857723435,
        4.918964940160846,
        4.918985022598256,
        4.919005105035666,
        4.919025187473076,
        4.919045269910486,
        4.919065352347896,
        4.919085434785306,
        4.919105517222715,
        4.919125599660126,
        4.919145682097535,
        4.919165764534945,
        4.919185846972356,
        4.919205929409765,
        4.919226011847177,
        4.919246094284586,
        4.919266176721996,
        4.919286259159406,
        4.9193063415968155,
        4.919326424034225,
        4.919346506471635,
        4.919366588909045,
        4.919386671346456,
        4.919406753783865,
        4.919426836221275,
        4.919446918658686,
        4.919467001096096,
        4.919487083533506,
        4.9195071659709155,
        4.9195272484083254,
        4.9195473308457345,
        4.919567413283145,
        4.919587495720555,
        4.919607578157965,
        4.919627660595376,
        4.919647743032785,
        4.919667825470196,
        4.919687907907606,
        4.919707990345015,
        4.9197280727824255,
        4.9197481552198346,
        4.9197682376572445,
        4.919788320094655,
        4.919808402532064,
        4.919828484969476,
        4.919848567406886,
        4.919868649844295,
        4.919888732281706,
        4.919908814719115,
        4.919928897156525,
        4.9199489795939355,
        4.9199690620313445,
        4.919989144468755,
        4.920009226906165,
        4.920029309343575,
        4.920049391780986,
        4.920069474218395,
        4.920089556655805,
        4.920109639093215,
        4.920129721530625,
        4.920149803968035,
        4.920169886405445,
        4.9201899688428545,
        4.920210051280265,
        4.920230133717675,
        4.920250216155085,
        4.920270298592495,
        4.920290381029905,
        4.920310463467314,
        4.920330545904725,
        4.920350628342135,
        4.920370710779545,
        4.9203907932169555,
        4.9204108756543645,
        4.920430958091775,
        4.920451040529185,
        4.920471122966594,
        4.920491205404005,
        4.920511287841414,
        4.920531370278824,
        4.920551452716235,
        4.920571535153644,
        4.920591617591055,
        4.920611700028465,
        4.9206317824658745,
        4.920651864903285,
        4.920671947340694,
        4.920892854152204,
        4.920912936589613,
        4.920933019027024,
        4.920953101464434,
        4.920973183901844,
        4.920993266339255,
        4.921013348776664,
        4.921033431214075,
        4.921053513651485,
        4.921073596088894,
        4.921093678526304,
        4.9211137609637134,
        4.921133843401123,
        4.921153925838534,
        4.921174008275944,
        4.921194090713355,
        4.921214173150764,
        4.921234255588174,
        4.921254338025585,
        4.921274420462994,
        4.921294502900404,
        4.9213145853378135,
        4.921334667775223,
        4.921354750212633,
        4.921374832650043,
        4.921394915087454,
        4.921414997524864,
        4.921435079962274,
        4.921455162399684,
        4.921475244837094,
        4.921495327274504,
        4.921515409711913,
        4.9215354921493235,
        4.921555574586733,
        4.921575657024144,
        4.921595739461554,
        4.921615821898964,
        4.921635904336374,
        4.921655986773784,
        4.921676069211193,
        4.921696151648604,
        4.921716234086014,
        4.921736316523423,
        4.9217563989608335,
        4.921776481398243,
        4.921796563835654,
        4.921816646273064,
        4.921836728710473,
        4.921856811147884,
        4.921876893585293,
        4.921896976022703,
        4.921917058460114,
        4.921937140897523,
        4.921957223334934,
        4.9219773057723435,
        4.921997388209753,
        4.922017470647164,
        4.922037553084573,
        4.922057635521983,
        4.922077717959393,
        4.922097800396803,
        4.922117882834213,
        4.922137965271623,
        4.922158047709034,
        4.922178130146444,
        4.9221982125838535,
        4.922218295021263,
        4.922238377458673,
        4.922258459896083,
        4.922278542333492,
        4.922298624770903,
        4.922318707208313,
        4.922338789645722,
        4.922358872083134,
        4.922378954520543,
        4.9223990369579536,
        4.9224191193953635,
        4.9224392018327725,
        4.922459284270183,
        4.922479366707592,
        4.922499449145002,
        4.922519531582413,
        4.922539614019822,
        4.922559696457233,
        4.922579778894643,
        4.922599861332053,
        4.9226199437694635,
        4.922640026206873,
        4.9226601086442825,
        4.922680191081692,
        4.922700273519102,
        4.922720355956512,
        4.922740438393923,
        4.922760520831333,
        4.922780603268743,
        4.922800685706153,
        4.922820768143563,
        4.922840850580973,
        4.922860933018383,
        4.922881015455792,
        4.922901097893202,
        4.922921180330612,
        4.922941262768022,
        4.922961345205433,
        4.922981427642842,
        4.923001510080253,
        4.923021592517663,
        4.923041674955072,
        4.923061757392483,
        4.923081839829892,
        4.923101922267302,
        4.923122004704713,
        4.923142087142122,
        4.923162169579532,
        4.923182252016943,
        4.923202334454352,
        4.923222416891763,
        4.923242499329172,
        4.923262581766582,
        4.923282664203993,
        4.923302746641402,
        4.923322829078812,
        4.923342911516222,
        4.923362993953632,
        4.923383076391043,
        4.923403158828452,
        4.923423241265862,
        4.923443323703272,
        4.923463406140682,
        4.923483488578092,
        4.923503571015502,
        4.9235236534529125,
        4.923543735890322,
        4.923563818327732,
        4.923583900765142,
        4.923603983202552,
        4.923624065639962,
        4.923644148077371,
        4.923664230514782,
        4.923684312952192,
        4.923704395389601,
        4.923724477827013,
        4.923744560264422,
        4.9237646427018325,
        4.923784725139242,
        4.923804807576651,
        4.923824890014062,
        4.923844972451471,
        4.923865054888881,
        4.923885137326292,
        4.923905219763702,
        4.923925302201112,
        4.923945384638522,
        4.923965467075932,
        4.923985549513342,
        4.9240056319507515,
        4.924025714388161,
        4.924045796825571,
        4.924065879262981,
        4.924085961700391,
        4.924106044137802,
        4.924126126575212,
        4.924146209012621,
        4.924166291450032,
        4.924186373887442,
        4.9242064563248515,
        4.9242265387622615,
        4.9242466211996705,
        4.924266703637081,
        4.924286786074491,
        4.924306868511901,
        4.924326950949312,
        4.924347033386721,
        4.924367115824132,
        4.924387198261542,
        4.924407280698951,
        4.9244273631363615,
        4.924447445573771,
        4.9244675280111805,
        4.924487610448591,
        4.924507692886001,
        4.924527775323411,
        4.924547857760821,
        4.924567940198231,
        4.924588022635642,
        4.924608105073051,
        4.924628187510461,
        4.924648269947871,
        4.924668352385281,
        4.924688434822691,
        4.924708517260101,
        4.924728599697511,
        4.924748682134921,
        4.924768764572331,
        4.924788847009741,
        4.924808929447151,
        4.924829011884561,
        4.924849094321971,
        4.924869176759381,
        4.924889259196791,
        4.9249093416342005,
        4.924929424071611,
        4.924949506509021,
        4.924969588946431,
        4.924989671383841,
        4.92500975382125,
        4.925029836258661,
        4.925049918696071,
        4.925070001133481,
        4.9250900835708915,
        4.9251101660083005,
        4.9251302484457105,
        4.925150330883121,
        4.92517041332053,
        4.925190495757941,
        4.92521057819535,
        4.92523066063276,
        4.925250743070171,
        4.925270825507581,
        4.925290907944991,
        4.925310990382401,
        4.9253310728198105,
        4.9253511552572204,
        4.92537123769463,
        4.92539132013204,
        4.92541140256945,
        4.92543148500686,
        4.925451567444271,
        4.925471649881681,
        4.925491732319091,
        4.9255118147565,
        4.925531897193911,
        4.9255519796313205,
        4.92557206206873,
        4.92559214450614,
        4.925612226943549,
        4.92563230938096,
        4.92565239181837,
        4.92567247425578,
        4.925692556693191,
        4.9257126391306,
        4.92573272156801,
        4.925752804005421,
        4.92577288644283,
        4.92579296888024,
        4.9258130513176495,
        4.925833133755059,
        4.925853216192471,
        4.92587329862988,
        4.92589338106729,
        4.9259134635047,
        4.92593354594211,
        4.92595362837952,
        4.92597371081693,
        4.92599379325434,
        4.9260138756917495,
        4.9260339581291595,
        4.92605404056657,
        4.92607412300398,
        4.92609420544139,
        4.926114287878799,
        4.92613437031621,
        4.92615445275362,
        4.92617453519103,
        4.92619461762844,
        4.926214700065849,
        4.92623478250326,
        4.92625486494067,
        4.926274947378079,
        4.92629502981549,
        4.926315112252899,
        4.926335194690309,
        4.92635527712772,
        4.926375359565129,
        4.92639544200254,
        4.926415524439949,
        4.92643560687736,
        4.92645568931477,
        4.926475771752179,
        4.926495854189589,
        4.926515936627,
        4.926536019064409,
        4.926556101501819,
        4.926576183939229,
        4.926596266376639,
        4.92661634881405,
        4.92663643125146,
        4.92665651368887,
        4.9266765961262795,
        4.926696678563689,
        4.926716761001099,
        4.926736843438509,
        4.926756925875919,
        4.926777008313329,
        4.926797090750739,
        4.926817173188149,
        4.92683725562556,
        4.92685733806297,
        4.926877420500379,
        4.9268975029377895,
        4.926917585375199,
        4.9269376678126084,
        4.926957750250019,
        4.926977832687428,
        4.926997915124839,
        4.92701799756225,
        4.927038079999659,
        4.92705816243707,
        4.927078244874479,
        4.927098327311889,
        4.9271184097492995,
        4.9271384921867085,
        4.927158574624119,
        4.927178657061528,
        4.927198739498938,
        4.92721882193635,
        4.927238904373759,
        4.927258986811169,
        4.927279069248579,
        4.927299151685989,
        4.927319234123399,
        4.927339316560809,
        4.9273593989982185,
        4.927379481435628,
        4.927399563873039,
        4.927419646310449,
        4.927439728747859,
        4.927459811185269,
        4.927479893622678,
        4.927499976060089,
        4.927520058497499,
        4.927540140934908,
        4.927560223372319,
        4.927580305809728,
        4.927600388247138,
        4.927620470684549,
        4.927640553121958,
        4.927660635559369,
        4.927680717996778,
        4.927700800434188,
        4.927720882871599,
        4.927740965309008,
        4.927761047746419,
        4.927781130183828,
        4.9278012126212385,
        4.927821295058649,
        4.927841377496058,
        4.927861459933468,
        4.927881542370878,
        4.927901624808288,
        4.927921707245698,
        4.927941789683108,
        4.927961872120518,
        4.927981954557928,
        4.928002036995339,
        4.9280221194327485,
        4.928042201870158,
        4.928062284307568,
        4.928082366744978,
        4.928102449182388,
        4.928122531619798,
        4.928142614057207,
        4.928162696494618,
        4.928182778932029,
        4.928202861369439,
        4.9282229438068486,
        4.928243026244258,
        4.928263108681668,
        4.928283191119078,
        4.928303273556487,
        4.928323355993898,
        4.928343438431307,
        4.928363520868718,
        4.928383603306129,
        4.928403685743538,
        4.928423768180949,
        4.928443850618358,
        4.928463933055768,
        4.928484015493178,
        4.928504097930587,
        4.928524180367997,
        4.928544262805407,
        4.928564345242817,
        4.928584427680229,
        4.928604510117638,
        4.928624592555048,
        4.928644674992458,
        4.928664757429868,
        4.928684839867278,
        4.9287049223046875,
        4.928725004742097,
        4.928745087179506,
        4.928765169616917,
        4.928785252054328,
        4.928805334491738,
        4.928825416929148,
        4.928845499366557,
        4.928865581803968,
        4.928885664241378,
        4.928905746678787,
        4.9289258291161975,
        4.9289459115536065,
        4.928965993991018,
        4.928986076428428,
        4.929006158865837,
        4.929026241303248,
        4.929046323740657,
        4.929066406178067,
        4.929086488615478,
        4.929106571052887,
        4.929126653490297,
        4.929146735927707,
        4.929166818365117,
        4.929186900802528,
        4.929206983239937,
        4.929227065677347,
        4.929247148114757,
        4.929267230552167,
        4.929287312989577,
        4.929307395426987,
        4.929327477864397,
        4.929347560301807,
        4.9293676427392175,
        4.929387725176627,
        4.929407807614037,
        4.929427890051447,
        4.929447972488856,
        4.929468054926267,
        4.929488137363677,
        4.929508219801086,
        4.929528302238497,
        4.929548384675906,
        4.9295684671133175,
        4.9295885495507274,
        4.9296086319881365,
        4.929628714425547,
        4.929648796862957,
        4.929668879300366,
        4.929688961737777,
        4.929709044175186,
        4.929729126612596,
        4.929749209050008,
        4.9300303631737465,
        4.9300504456111565,
        4.930070528048566,
        4.930090610485976,
        4.930110692923385,
        4.930130775360797,
        4.930150857798207,
        4.930170940235617,
        4.930191022673027,
        4.930211105110436,
        4.930231187547847,
        4.9302512699852565,
        4.930271352422666,
        4.930291434860076,
        4.930311517297485,
        4.930331599734896,
        4.930351682172307,
        4.930371764609716,
        4.930391847047127,
        4.930411929484536,
        4.930432011921946,
        4.930452094359357,
        4.930472176796766,
        4.930492259234176,
        4.9305123416715855,
        4.930532424108996,
        4.930552506546407,
        4.930572588983816,
        4.930592671421226,
        4.930612753858636,
        4.930632836296046,
        4.930652918733456,
        4.930673001170866,
        4.930693083608276,
        4.930713166045685,
        4.930733248483096,
        4.930753330920506,
        4.930773413357916,
        4.930793495795326,
        4.930813578232735,
        4.930833660670146,
        4.930853743107556,
        4.930873825544965,
        4.930893907982376,
        4.930913990419786,
        4.9309340728571955,
        4.930954155294606,
        4.930974237732015,
        4.930994320169426,
        4.931014402606835,
        4.931034485044245,
        4.931054567481656,
        4.931074649919065,
        4.931094732356475,
        4.931114814793886,
        4.931134897231296,
        4.931154979668706,
        4.9311750621061154,
        4.931195144543525,
        4.931215226980935,
        4.931235309418345,
        4.931255391855755,
        4.931275474293165,
        4.931295556730576,
        4.931315639167986,
        4.931335721605396,
        4.931355804042806,
        4.9313758864802155,
        4.931395968917625,
        4.931416051355035,
        4.931436133792445,
        4.931456216229855,
        4.931476298667264,
        4.931496381104675,
        4.931516463542086,
        4.931536545979495,
        4.931556628416906,
        4.931576710854315,
        4.9315967932917255,
        4.931616875729135,
        4.9316369581665445,
        4.931657040603955,
        4.931677123041364,
        4.931697205478775,
        4.931717287916186,
        4.931737370353595,
        4.931757452791006,
        4.931777535228415,
        4.931797617665825,
        4.9318177001032355,
        4.9318377825406445,
        4.9318578649780545,
        4.931877947415464,
        4.931898029852875,
        4.931918112290285,
        4.931938194727695,
        4.931958277165105,
        4.931978359602515,
        4.931998442039925,
        4.932018524477335,
        4.932038606914745,
        4.9320586893521545,
        4.932078771789564,
        4.932098854226975,
        4.932118936664385,
        4.932139019101794,
        4.932159101539205,
        4.932179183976614,
        4.932199266414025,
        4.932219348851435,
        4.932239431288844,
        4.932259513726255,
        4.932279596163664,
        4.932299678601074,
        4.932319761038485,
        4.932339843475894,
        4.932359925913305,
        4.932380008350714,
        4.932400090788124,
        4.932420173225535,
        4.932440255662944,
        4.932460338100354,
        4.932480420537765,
        4.9325005029751745,
        4.932520585412584,
        4.932540667849994,
        4.932560750287404,
        4.932580832724814,
        4.932600915162224,
        4.932620997599634,
        4.932641080037044,
        4.932661162474454,
        4.932681244911864,
        4.932701327349275,
        4.9327214097866845,
        4.9327414922240935,
        4.932761574661504,
        4.932781657098913,
        4.932801739536324,
        4.932821821973734,
        4.932841904411143,
        4.932861986848555,
        4.932882069285965,
        4.932902151723374,
        4.932922234160785,
        4.932942316598194,
        4.932962399035604,
        4.932982481473014,
        4.933002563910423,
        4.933022646347834,
        4.933042728785243,
        4.933062811222654,
        4.933082893660065,
        4.933102976097474,
        4.933123058534884,
        4.933143140972294,
        4.933163223409704,
        4.933183305847114,
        4.933203388284523,
        4.933223470721933,
        4.933243553159344,
        4.933263635596754,
        4.933283718034164,
        4.933303800471574,
        4.933323882908984,
        4.933343965346393,
        4.933364047783804,
        4.933384130221214,
        4.9334042126586235,
        4.933424295096033,
        4.9334443775334424,
        4.933464459970854,
        4.933484542408264,
        4.933504624845673,
        4.933524707283084,
        4.933544789720493,
        4.933564872157904,
        4.933584954595314,
        4.933966520906103,
        4.933986603343513,
        4.934006685780923,
        4.934026768218334,
        4.934046850655743,
        4.9340669330931535,
        4.934087015530563,
        4.934107097967972,
        4.934127180405383,
        4.934147262842792,
        4.934167345280203,
        4.934187427717613,
        4.934207510155022,
        4.934227592592433,
        4.934247675029843,
        4.934267757467253,
        4.9342878399046635,
        4.9343079223420725,
        4.934328004779482,
        4.934348087216892,
        4.934368169654302,
        4.934388252091713,
        4.934408334529122,
        4.934428416966533,
        4.934448499403944,
        4.934488664278762,
        4.935131302275882,
        4.935151384713293,
        4.935171467150702,
        4.935191549588112,
        4.935211632025522,
        4.935231714462932,
        4.935251796900342,
        4.935271879337752,
        4.935291961775162,
        4.935312044212571,
        4.935332126649982,
        4.935352209087392,
        4.935372291524802,
        4.935392373962212,
        4.935412456399622,
        4.935432538837032,
        4.935452621274442,
        4.935472703711851,
        4.935492786149262,
        4.935512868586671,
        4.935532951024081,
        4.935553033461492,
        4.935573115898901,
        4.935593198336313,
        4.935613280773722,
        4.9356333632111316,
        4.935653445648542,
        4.935673528085951,
        4.935693610523361,
        4.935713692960771,
        4.935733775398181,
        4.935753857835592,
        4.935773940273001,
        4.935794022710412,
        4.935814105147822,
        4.935834187585232,
        4.9358542700226415,
        4.9358743524600515,
        4.935894434897461,
        4.93591451733487,
        4.935934599772281,
        4.935954682209691,
        4.935974764647102,
        4.935994847084512,
        4.936014929521921,
        4.936035011959332,
        4.936055094396742,
        4.936075176834151,
        4.9360952592715615,
        4.9361153417089705,
        4.93613542414638,
        4.936155506583791,
        4.9361755890212,
        4.936195671458612,
        4.936215753896022,
        4.936235836333431,
        4.936255918770842,
        4.936276001208251,
        4.936296083645661,
        4.936316166083071,
        4.9363362485204805,
        4.936356330957891,
        4.936376413395301,
        4.936396495832711,
        4.936416578270122,
        4.936436660707531,
        4.936456743144941,
        4.936476825582351,
        4.936496908019761,
        4.936516990457171,
        4.9365370728945805,
        4.9365571553319905,
        4.936577237769401,
        4.936597320206811,
        4.936617402644221,
        4.936637485081631,
        4.936657567519041,
        4.93667764995645,
        4.936697732393861,
        4.936717814831271,
        4.936737897268681,
        4.936757979706091,
        4.9367780621435005,
        4.936798144580911,
        4.936818227018321,
        4.93683830945573,
        4.936858391893141,
        4.93687847433055,
        4.93689855676796,
        4.936918639205371,
        4.93693872164278,
        4.9369588040801915,
        4.9369788865176005,
        4.9369989689550104,
        4.937019051392421,
        4.93703913382983,
        4.93705921626724,
        4.93707929870465,
        4.93709938114206,
        4.93711946357947,
        4.93713954601688,
        4.937159628454291,
        4.937179710891701,
        4.9371997933291105,
        4.93721987576652,
        4.93723995820393,
        4.93726004064134,
        4.937280123078749,
        4.93730020551616,
        4.93732028795357,
        4.93734037039098,
        4.937360452828391,
        4.9373805352658,
        4.937400617703211,
        4.9374207001406205,
        4.9374407825780295,
        4.93746086501544,
        4.937480947452849,
        4.937501029890259,
        4.93752111232767,
        4.93754119476508,
        4.937561277202491,
        4.9375813596399,
        4.93760144207731,
        4.937621524514721,
        4.93764160695213,
        4.9376616893895395,
        4.9376817718269495,
        4.937701854264359,
        4.937721936701769,
        4.93774201913918,
        4.93776210157659,
        4.937782184014001,
        4.93780226645141,
        4.93782234888882,
        4.93784243132623,
        4.93786251376364,
        4.9378825962010495,
        4.937902678638459,
        4.93792276107587,
        4.93794284351328,
        4.93796292595069,
        4.9379830083881,
        4.93800309082551,
        4.93802317326292,
        4.938043255700329,
        4.93806333813774,
        4.93808342057515,
        4.938103503012559,
        4.938123585449969,
        4.938143667887379,
        4.93816375032479,
        4.9381838327622,
        4.938203915199609,
        4.93822399763702,
        4.938244080074429,
        4.938264162511839,
        4.93828424494925,
        4.93830432738666,
        4.9383244098240695,
        4.938344492261479,
        4.938364574698889,
        4.9383846571363,
        4.938404739573709,
        4.938424822011119,
        4.938444904448529,
        4.938464986885939,
        4.938485069323349,
        4.93850515176076,
        4.93852523419817,
        4.9385453166355795,
        4.938565399072989,
        4.938585481510399,
        4.938605563947809,
        4.938625646385219,
        4.938645728822628,
        4.938665811260039,
        4.938685893697449,
        4.938705976134859,
        4.93872605857227,
        4.938746141009679,
        4.9387662234470895,
        4.938786305884499,
        4.938806388321908,
        4.938826470759319,
        4.938846553196728,
        4.938866635634138,
        4.938886718071549,
        4.938906800508959,
        4.938926882946369,
        4.938946965383779,
        4.938967047821189,
        4.9389871302585995,
        4.9390072126960085,
        4.939027295133418,
        4.939047377570828,
        4.939067460008238,
        4.939087542445649,
        4.939107624883059,
        4.939127707320469,
        4.939147789757879,
        4.939167872195289,
        4.939187954632699,
        4.939208037070109,
        4.9392281195075185,
        4.9392482019449275,
        4.939268284382338,
        4.939288366819749,
        4.939308449257158,
        4.939328531694569,
        4.939348614131979,
        4.939368696569389,
        4.939388779006799,
        4.939408861444208,
        4.939428943881619,
        4.9394490263190285,
        4.939469108756438,
        4.939489191193849,
        4.939750262880179,
        4.939770345317588,
        4.939790427754998,
        4.939810510192408,
        4.939830592629818,
        4.939850675067228,
        4.9398707575046386,
        4.9398908399420485,
        4.9399109223794575,
        4.939931004816868,
        4.939951087254278,
        4.939971169691688,
        4.939991252129098,
        4.940011334566507,
        4.940031417003918,
        4.940051499441328,
        4.940071581878738,
        4.9400916643161485,
        4.940111746753558,
        4.940131829190968,
        4.940151911628378,
        4.940171994065787,
        4.940192076503198,
        4.940212158940607,
        4.940232241378017,
        4.940252323815429,
        4.940272406252838,
        4.940292488690248,
        4.940312571127658,
        4.940332653565068,
        4.940352736002478,
        4.940372818439887,
        4.940392900877297,
        4.940412983314707,
        4.940433065752117,
        4.940453148189527,
        4.940473230626938,
        4.940493313064348,
        4.940513395501757,
        4.940533477939168,
        4.940553560376578,
        4.9405736428139875,
        4.940593725251397,
        4.940613807688806,
        4.940633890126217,
        4.940653972563628,
        4.940674055001037,
        4.940694137438448,
        4.940714219875857,
        4.940734302313268,
        4.940754384750678,
        4.940774467188087,
        4.9407945496254975,
        4.9408146320629065,
        4.940834714500316,
        4.940854796937728,
        4.940874879375137,
        4.940894961812547,
        4.940915044249957,
        4.940935126687367,
        4.940955209124778,
        4.940975291562187,
        4.940995373999597,
        4.941015456437007,
        4.941035538874417,
        4.941055621311827,
        4.941075703749237,
        4.941095786186647,
        4.941115868624057,
        4.941135951061467,
        4.941156033498877,
        4.941176115936287,
        4.941196198373697,
        4.941216280811107,
        4.9412363632485174,
        4.941256445685927,
        4.941276528123336,
        4.941537599809666,
        4.941557682247077,
        4.941577764684486,
        4.941597847121896,
        4.941617929559307,
        4.941638011996717,
        4.941658094434127,
        4.9416781768715365,
        4.9416982593089465,
        4.941718341746356,
        4.941738424183766,
        4.941758506621176,
        4.941778589058586,
        4.941798671495996,
        4.941818753933407,
        4.941838836370817,
        4.941858918808227,
        4.941879001245636,
        4.9418990836830465,
        4.9419191661204565,
        4.941939248557866,
        4.941959330995276,
        4.941979413432685,
        4.941999495870096,
        4.942019578307507,
        4.942039660744916,
        4.942059743182327,
        4.942079825619736,
        4.942099908057146,
        4.9421199904945565,
        4.9421400729319656,
        4.942160155369376,
        4.942180237806785,
        4.942200320244196,
        4.942220402681607,
        4.942240485119016,
        4.942260567556426,
        4.942280649993836,
        4.942300732431246,
        4.942320814868656,
        4.942340897306066,
        4.9423609797434755,
        4.9423810621808855,
        4.942401144618295,
        4.942421227055706,
        4.942441309493116,
        4.942461391930526,
        4.942481474367935,
        4.942501556805346,
        4.942521639242756,
        4.942541721680166,
        4.942561804117576,
        4.942581886554985,
        4.942601968992396,
        4.942622051429806,
        4.942642133867215,
        4.942662216304626,
        4.942682298742036,
        4.942702381179445,
        4.942722463616856,
        4.942742546054265,
        4.942762628491676,
        4.942782710929086,
        4.9428027933664955,
        4.942822875803906,
        4.942842958241315,
        4.942863040678725,
        4.942883123116136,
        4.942903205553545,
        4.942923287990955,
        4.942943370428365,
        4.942963452865775,
        4.942983535303187,
        4.943003617740596,
        4.9430237001780055,
        4.943043782615415,
        4.943063865052825,
        4.943083947490235,
        4.943104029927645,
        4.943124112365055,
        4.943144194802465,
        4.947341424221152,
        4.952181291636958,
        4.952201374074368,
        4.9522214565117775,
        4.952241538949187,
        4.952261621386597,
        4.952281703824006,
        4.952301786261417,
        4.952321868698828,
        4.952341951136238,
        4.952362033573648,
        4.952382116011058,
        4.952402198448468,
        4.9524222808858775,
        4.952442363323287,
        4.952462445760697,
        4.952482528198107,
        4.952502610635516,
        4.952522693072927,
        4.952542775510337,
        4.952562857947748,
        4.952582940385158,
        4.952603022822567,
        4.952623105259978,
        4.952643187697387,
        4.952663270134797,
        4.952683352572207,
        4.952703435009616,
        4.952723517447028,
        4.952954465477241,
        4.953868216379395,
        4.953888298816807,
        4.953908381254216,
        4.953928463691627,
        4.953948546129037,
        4.953968628566446,
        4.9539887110038565,
        4.9540087934412655,
        4.9540288758786755,
        4.954048958316086,
        4.954069040753495,
        4.954089123190906,
        4.954109205628316,
        4.954129288065726,
        4.954149370503137,
        4.954169452940546,
        4.954189535377956,
        4.954209617815366,
        4.9542297002527755,
        4.9542497826901855,
        4.954269865127596,
        4.954289947565006,
        4.954310030002416,
        4.954330112439826,
        4.954651431438386,
        4.955695718183705,
        4.955715800621115,
        4.955735883058525,
        4.955755965495935,
        4.955776047933344,
        4.9557961303707545,
        4.955816212808164,
        4.955836295245574,
        4.956037119619674,
        4.956057202057084,
        4.956077284494494,
        4.956097366931904,
        4.956117449369315,
        4.956137531806724,
        4.956157614244134,
        4.956177696681544,
        4.956197779118954,
        4.956217861556365,
        4.9562379439937745,
        4.956258026431184,
        4.956278108868593,
        4.956298191306004,
        4.956318273743414,
        4.956338356180824,
        4.956358438618234,
        4.956378521055643,
        4.956398603493054,
        4.956418685930464,
        4.956438768367874,
        4.9564588508052845,
        4.9564789332426935,
        4.956499015680104,
        4.956519098117514,
        4.956539180554923,
        4.956559262992334,
        4.956579345429743,
        4.956599427867153,
        4.956619510304565,
        4.956639592741974,
        4.956659675179384,
        4.956679757616794,
        4.9566998400542035,
        4.956719922491614,
        4.956740004929023,
        4.956760087366433,
        4.956780169803843,
        4.956800252241253,
        4.956820334678664,
        4.956840417116074,
        4.956860499553484,
        4.956880581990893,
        4.956900664428304,
        4.9569207468657135,
        4.956940829303123,
        4.956960911740533,
        4.956980994177942,
        4.957001076615354,
        4.957021159052764,
        4.957041241490173,
        4.957061323927584,
        4.957081406364993,
        4.957101488802404,
        4.957121571239814,
        4.957141653677223,
        4.957161736114633,
        4.957181818552042,
        4.957201900989453,
        4.957221983426864,
        4.957242065864273,
        4.957262148301683,
        4.957282230739094,
        4.957302313176503,
        4.957322395613914,
        4.957342478051323,
        4.957362560488733,
        4.957382642926143,
        4.957402725363553,
        4.957422807800963,
        4.957442890238373,
        4.957462972675783,
        4.957483055113193,
        4.957503137550603,
        4.957523219988013,
        4.958326517484412,
        4.959892947602391,
        4.9599130300398,
        4.959933112477211,
        4.959953194914622,
        4.959973277352031,
        4.959993359789441,
        4.960013442226851,
        4.960033524664261,
        4.9600536071016705,
        4.9600736895390805,
        4.96009377197649,
        4.960113854413901,
        4.960133936851311,
        4.960154019288721,
        4.960174101726131,
        4.960194184163541,
        4.96021426660095,
        4.960234349038361,
        4.960254431475771,
        4.96027451391318,
        4.9602945963505904,
        4.9603146787879995,
        4.960515503162101,
        4.96053558559951,
        4.960555668036921,
        4.96057575047433,
        4.96059583291174,
        4.960615915349151,
        4.96063599778656,
        4.96065608022397,
        4.96067616266138,
        4.96069624509879,
        4.960716327536201,
        4.96073640997361,
        4.96075649241102,
        4.96077657484843,
        4.96079665728584,
        4.96081673972325,
        4.96083682216066,
        4.96085690459807,
        4.960876987035479,
        4.960897069472891,
        4.960917151910301,
        4.9609372343477105,
        4.96095731678512,
        4.9609773992225294,
        4.96099748165994,
        4.96101756409735,
        4.961037646534759,
        4.96105772897217,
        4.961077811409579,
        4.96109789384699,
        4.961117976284401,
        4.96113805872181,
        4.9611581411592205,
        4.9611782235966295,
        4.961198306034039,
        4.96121838847145,
        4.961238470908859,
        4.961258553346269,
        4.961278635783679,
        4.96129871822109,
        4.961318800658501,
        4.96133888309591,
        4.96135896553332,
        4.96137904797073,
        4.9613991304081395,
        4.961419212845549,
        4.961439295282959,
        4.961459377720369,
        4.961479460157778,
        4.96149954259519,
        4.9615196250326,
        4.96153970747001,
        4.96155978990742,
        4.961579872344829,
        4.96159995478224,
        4.9616200372196495,
        4.9616401196570585,
        4.961660202094469,
        4.961680284531879,
        4.96170036696929,
        4.9617204494067,
        4.961740531844109,
        4.96176061428152,
        4.961780696718929,
        4.961800779156339,
        4.96182086159375,
        4.961840944031159,
        4.9618610264685685,
        4.961881108905979,
        4.961901191343389,
        4.9619212737808,
        4.961941356218209,
        4.961961438655619,
        4.961981521093029,
        4.962001603530439,
        4.962021685967849,
        4.962041768405259,
        4.9620618508426695,
        4.962081933280079,
        4.962102015717489,
        4.962122098154899,
        4.962142180592309,
        4.962162263029719,
        4.962182345467129,
        4.962202427904539,
        4.962222510341949,
        4.962242592779358,
        4.962262675216769,
        4.9622827576541795,
        4.962302840091589,
        4.962322922528999,
        4.962343004966408,
        4.962363087403819,
        4.962383169841229,
        4.962403252278638,
        4.962423334716049,
        4.962443417153458,
        4.962463499590869,
        4.9624835820282795,
        4.962503664465689,
        4.962523746903099,
        4.962543829340508,
        4.962563911777918,
        4.962583994215329,
        4.962604076652738,
        4.962624159090148,
        4.962644241527558,
        4.962664323964969,
        4.962684406402379,
        4.962704488839789,
        4.962724571277199,
        4.9627446537146085,
        4.962764736152018,
        4.962784818589428,
        4.962804901026838,
        4.962824983464248,
        4.962845065901658,
        4.962865148339069,
        4.962885230776479,
        4.962905313213889,
        4.962925395651299,
        4.962945478088708,
        4.9629655605261185,
        4.962985642963528,
        4.963005725400937,
        4.963025807838348,
        4.963045890275757,
        4.963065972713168,
        4.963226632212447,
        4.963246714649858,
        4.963266797087268,
        4.963286879524679,
        4.963306961962088,
        4.963327044399498,
        4.963347126836908,
        4.963367209274318,
        4.963387291711728,
        4.963407374149138,
        4.9634274565865475,
        4.963447539023957,
        4.963467621461368,
        4.963487703898778,
        4.963507786336188,
        4.963527868773598,
        4.963547951211007,
        4.963568033648418,
        4.963588116085828,
        4.963608198523237,
        4.9636282809606485,
        4.963648363398058,
        4.963668445835467,
        4.963688528272878,
        4.963708610710287,
        4.963728693147698,
        4.963748775585108,
        4.963768858022517,
        4.963788940459928,
        4.963809022897337,
        4.963829105334748,
        4.9638491877721584,
        4.9638692702095675,
        4.963889352646978,
        4.963909435084387,
        4.963929517521797,
        4.963949599959208,
        4.963969682396617,
        4.963989764834027,
        4.964009847271438,
        4.964029929708848,
        4.964050012146258,
        4.9640700945836675,
        4.9640901770210775,
        4.964110259458487,
        4.964130341895897,
        4.964150424333307,
        4.964170506770717,
        4.964190589208127,
        4.964210671645536,
        4.964230754082948,
        4.964250836520358,
        4.964270918957767,
        4.9642910013951775,
        4.964311083832587,
        4.964331166269997,
        4.964351248707407,
        4.9647729798930165,
        4.964793062330427,
        4.964813144767836,
        4.964833227205247,
        4.964853309642657,
        4.964873392080066,
        4.964893474517477,
        4.964913556954886,
        4.964933639392297,
        4.964953721829707,
        4.964973804267116,
        4.9649938867045265,
        4.965013969141936,
        4.965034051579346,
        4.965054134016757,
        4.965074216454166,
        4.965094298891577,
        4.965114381328986,
        4.965134463766396,
        4.965154546203807,
        4.965174628641216,
        4.9651947110786265,
        4.9652147935160365,
        4.965234875953446,
        4.965254958390856,
        4.965275040828266,
        4.965295123265676,
        4.965315205703086,
        4.965335288140496,
        4.965355370577906,
        4.965375453015316,
        4.965395535452727,
        4.9654156178901365,
        4.965435700327546,
        4.965455782764956,
        4.965475865202365,
        4.965495947639776,
        4.965516030077186,
        4.965536112514596,
        4.965556194952006,
        4.965576277389416,
        4.965596359826827,
        4.965616442264237,
        4.965636524701646,
        4.965656607139056,
        4.9656766895764655,
        4.965696772013876,
        4.965716854451286,
        4.965736936888695,
        4.965757019326106,
        4.965777101763516,
        4.965797184200926,
        4.965817266638337,
        4.965837349075746,
        4.965857431513156,
        4.9658775139505655,
        4.9658975963879755,
        4.965917678825386,
        4.965937761262795,
        4.965957843700205,
        4.965977926137616,
        4.965998008575026,
        4.966018091012436,
        4.966038173449846,
        4.966058255887256,
        4.966078338324665,
        4.9660984207620755,
        4.9661185031994854,
        4.966138585636895,
        4.966158668074305,
        4.966178750511715,
        4.966198832949126,
        4.966218915386536,
        4.966238997823945,
        4.966259080261356,
        4.966279162698765,
        4.966299245136176,
        4.9663193275735855,
        4.966339410010995,
        4.966359492448406,
        4.966379574885815,
        4.966399657323225,
        4.966419739760636,
        4.966439822198045,
        4.966459904635455,
        4.966479987072865,
        4.966500069510275,
        4.966520151947686,
        4.966540234385095,
        4.966560316822505,
        4.966580399259915,
        4.966600481697325,
        4.966620564134735,
        4.966640646572145,
        4.966660729009555,
        4.966680811446965,
        4.966700893884375,
        4.966720976321785,
        4.966741058759196,
        4.9667611411966055,
        4.9667812236340145,
        4.966801306071425,
        4.966821388508835,
        4.966841470946244,
        4.966861553383655,
        4.966881635821064,
        4.966901718258475,
        4.966921800695885,
        4.966941883133294,
        4.966961965570706,
        4.9669820480081155,
        4.9670021304455245,
        4.967022212882935,
        4.967042295320344,
        4.967062377757754,
        4.967082460195165,
        4.967102542632574,
        4.967122625069986,
        4.967142707507395,
        4.967162789944805,
        4.967182872382216,
        4.967202954819625,
        4.9672230372570345,
        4.967243119694444,
        4.967263202131854,
        4.967283284569265,
        4.967303367006674,
        4.967323449444085,
        4.967343531881495,
        4.967363614318905,
        4.967383696756315,
        4.967403779193725,
        4.967423861631135,
        4.967443944068544,
        4.967464026505954,
        4.967484108943364,
        4.967504191380774,
        4.967524273818185,
        4.967544356255594,
        4.967564438693005,
        4.967584521130415,
        4.967604603567824,
        4.967624686005235,
        4.967644768442644,
        4.967664850880054,
        4.967684933317464,
        4.967705015754873,
        4.967725098192285,
        4.967745180629694,
        4.967765263067104,
        4.967785345504515,
        4.967805427941924,
        4.967825510379334,
        4.967845592816744,
        4.967865675254154,
        4.9678857576915645,
        4.967905840128974,
        4.967925922566384,
        4.967946005003794,
        4.967966087441204,
        4.967986169878614,
        4.968006252316024,
        4.968026334753434,
        4.968046417190843,
        4.968066499628254,
        4.968086582065664,
        4.9681066645030745,
        4.968126746940484,
        4.968146829377893,
        4.968166911815304,
        4.968186994252714,
        4.968207076690123,
        4.968227159127534,
        4.968247241564943,
        4.968267324002353,
        4.968287406439765,
        4.968307488877174,
        4.9683275713145845,
        4.9683476537519935,
        4.968367736189403,
        4.968387818626814,
        4.968407901064223,
        4.968427983501633,
        4.968448065939043,
        4.968468148376453,
        4.968488230813864,
        4.968508313251274,
        4.968528395688684,
        4.9685484781260945,
        4.9685685605635035,
        4.968588643000913,
        4.968608725438323,
        4.968628807875733,
        4.968648890313143,
        4.968668972750553,
        4.968689055187964,
        4.968709137625374,
        4.968729220062784,
        4.968749302500194,
        4.968769384937604,
        4.9687894673750135,
        4.9688095498124225,
        4.968829632249833,
        4.968849714687243,
        4.968869797124652,
        4.968889879562064,
        4.968909961999473,
        4.968930044436884,
        4.968950126874294,
        4.968970209311703,
        4.9689902917491136,
        4.969010374186523,
        4.9690304566239325,
        4.969050539061343,
        4.969070621498753,
        4.969090703936164,
        4.969110786373573,
        4.969130868810983,
        4.969150951248394,
        4.969171033685803,
        4.969191116123213,
        4.969211198560623,
        4.969231280998033,
        4.9692513634354425,
        4.969271445872853,
        4.969291528310263,
        4.969311610747673,
        4.969331693185083,
        4.969351775622493,
        4.969371858059903,
        4.969391940497313,
        4.969412022934722,
        4.969432105372133,
        4.969452187809543,
        4.9694722702469525,
        4.969492352684363,
        4.969512435121772,
        4.969532517559183,
        4.969552599996593,
        4.969572682434002,
        4.969592764871413,
        4.969612847308822,
        4.969632929746232,
        4.969653012183643,
        4.9696730946210526,
        4.969693177058463,
        4.969713259495872,
        4.969733341933282,
        4.969753424370693,
        4.969773506808102,
        4.969793589245512,
        4.969813671682922,
        4.969833754120332,
        4.969853836557743,
        4.969873918995153,
        4.9698940014325625,
        4.9699140838699725,
        4.969934166307382,
        4.969954248744792,
        4.969974331182202,
        4.969994413619612,
        4.970014496057021,
        4.970034578494432,
        4.970054660931843,
        4.970074743369253,
        4.970094825806663,
        4.970114908244072,
        4.9701349906814825,
        4.970155073118892,
        4.970175155556301,
        4.970195237993712,
        4.970215320431121,
        4.970235402868532,
        4.970255485305943,
        4.970275567743352,
        4.970295650180763,
        4.970315732618173,
        4.970335815055582,
        4.9703558974929924,
        4.9703759799304015,
        4.970396062367811,
        4.970416144805222,
        4.970436227242631,
        4.970456309680042,
        4.970476392117452,
        4.970496474554862,
        4.970516556992273,
        4.970536639429682,
        4.970556721867092,
        4.9705768043045016,
        4.9705968867419115,
        4.970616969179321,
        4.970637051616732,
        4.970657134054142,
        4.970677216491552,
        4.970697298928962,
        4.970717381366372,
        4.970737463803782,
        4.970757546241192,
        4.970777628678601,
        4.9707977111160115,
        4.9708177935534215,
        4.970837875990831,
        4.970857958428242,
        4.970878040865651,
        4.970898123303062,
        4.970918205740472,
        4.970938288177881,
        4.970958370615292,
        4.970978453052701,
        4.970998535490111,
        4.971018617927522,
        4.9710387003649315,
        4.971058782802341,
        4.971078865239751,
        4.971098947677161,
        4.971119030114572,
        4.971139112551981,
        4.971159194989391,
        4.971179277426801,
        4.971199359864211,
        4.971219442301621,
        4.9712395247390315,
        4.971259607176441,
        4.971279689613851,
        4.971299772051261,
        4.971319854488671,
        4.971339936926081,
        4.971360019363491,
        4.9713801018009,
        4.971400184238311,
        4.971420266675722,
        4.971440349113131,
        4.9714604315505415,
        4.9714805139879505,
        4.971500596425361,
        4.971520678862771,
        4.97154076130018,
        4.971560843737591,
        4.971580926175,
        4.97160100861241,
        4.971621091049822,
        4.971641173487231,
        4.971661255924641,
        4.971681338362051,
        4.9717014207994605,
        4.971721503236871,
        4.97174158567428,
        4.97176166811169,
        4.9717817505491,
        4.971801832986511,
        4.971821915423921,
        4.971841997861331,
        4.971862080298741,
        4.971882162736152,
        4.971902245173561,
        4.9719223276109705,
        4.9719424100483804,
        4.97196249248579,
        4.9719825749232,
        4.972002657360611,
        4.972022739798021,
        4.97204282223543,
        4.972062904672841,
        4.972082987110251,
        4.972103069547661,
        4.972123151985071,
        4.97214323442248,
        4.97216331685989,
        4.972183399297301,
        4.97220348173471,
        4.972223564172121,
        4.97224364660953,
        4.97226372904694,
        4.972283811484351,
        4.97230389392176,
        4.972323976359171,
        4.97234405879658,
        4.97236414123399,
        4.9723842236714,
        4.97240430610881,
        4.97242438854622,
        4.97244447098363,
        4.97246455342104,
        4.972484635858451,
        4.97250471829586,
        4.97252480073327,
        4.97254488317068,
        4.97256496560809,
        4.9725850480455005,
        4.97260513048291,
        4.97262521292032,
        4.972645295357729,
        4.97266537779514,
        4.97268546023255,
        4.97270554266996,
        4.97272562510737,
        4.972745707544779,
        4.97276578998219,
        4.972785872419601,
        4.97280595485701,
        4.97282603729442,
        4.972846119731829,
        4.97286620216924,
        4.97288628460665,
        4.972906367044059,
        4.97292644948147,
        4.972946531918879,
        4.97296661435629,
        4.972986696793701,
        4.97300677923111,
        4.97302686166852,
        4.9730469441059295,
        4.973067026543339,
        4.97308710898075,
        4.973107191418159,
        4.973127273855569,
        4.973147356292979,
        4.973167438730389,
        4.9731875211678,
        4.97320760360521,
        4.97322768604262,
        4.973247768480029,
        4.9732678509174395,
        4.973287933354849,
        4.973308015792259,
        4.973328098229669,
        4.973348180667078,
        4.97336826310449,
        4.9733883455419,
        4.973408427979309,
        4.97342851041672,
        4.97344859285413,
        4.97346867529154,
        4.9734887577289495,
        4.9735088401663585,
        4.973528922603769,
        4.973549005041179,
        4.973569087478589,
        4.973589169916,
        4.973609252353409,
        4.973629334790819,
        4.97364941722823,
        4.973669499665639,
        4.97368958210305,
        4.973709664540459,
        4.9737297469778685,
        4.97374982941528,
        4.973769911852689,
        4.973789994290099,
        4.973810076727509,
        4.973830159164919,
        4.973850241602329,
        4.973870324039739,
        4.973890406477149,
        4.9741514781634795,
        4.9741715606008885,
        4.974191643038299,
        4.974211725475708,
        4.974231807913118,
        4.974251890350529,
        4.974271972787938,
        4.974292055225349,
        4.974312137662758,
        4.974332220100168,
        4.9743523025375795,
        4.974372384974989,
        4.9743924674123985,
        4.974412549849808,
        4.974432632287218,
        4.974452714724628,
        4.974472797162038,
        4.974492879599448,
        4.974512962036858,
        4.974533044474269,
        4.974553126911679,
        4.974573209349089,
        4.974593291786499,
        4.974613374223908,
        4.974633456661318,
        4.974653539098728,
        4.974673621536138,
        4.974693703973548,
        4.974713786410957,
        4.974733868848369,
        4.974753951285779,
        4.974774033723188,
        4.974794116160599,
        4.974814198598008,
        4.974834281035418,
        4.974854363472828,
        4.974874445910237,
        4.974894528347648,
        4.974914610785058,
        4.974934693222468,
        4.974954775659879,
        4.974974858097288,
        4.974994940534698,
        4.975015022972108,
        4.975035105409518,
        4.975055187846928,
        4.9750752702843375,
        4.975095352721747,
        4.975115435159157,
        4.975135517596568,
        4.975155600033978,
        4.975175682471388,
        4.975195764908798,
        4.975215847346208,
        4.975235929783618,
        4.975256012221028,
        4.975276094658438,
        4.9752961770958475,
        4.975316259533258,
        4.975336341970668,
        4.975356424408078,
        4.975376506845487,
        4.975396589282898,
        4.975416671720308,
        4.975436754157717,
        4.975456836595128,
        4.975476919032537,
        4.9754970014699476,
        4.975517083907358,
        4.975537166344767,
        4.975557248782178,
        4.975577331219587,
        4.975597413656997,
        4.975617496094408,
        4.975637578531817,
        4.975898650218148,
        4.975918732655558,
        4.9759388150929675,
        4.9759588975303775,
        4.9759789799677865,
        4.975999062405197,
        4.976019144842607,
        4.976039227280016,
        4.976059309717427,
        4.976079392154836,
        4.976099474592248,
        4.976119557029658,
        4.976139639467067,
        4.9761597219044775,
        4.976179804341887,
        4.9761998867792965,
        4.976219969216707,
        4.976240051654116,
        4.976260134091527,
        4.976280216528936,
        4.976300298966347,
        4.976320381403758,
        4.976340463841167,
        4.976360546278577,
        4.976380628715987,
        4.9764007111533965,
        4.9764207935908065,
        4.976440876028216,
        4.976460958465626,
        4.976481040903037,
        4.976501123340447,
        4.976521205777857,
        4.976541288215267,
        4.976561370652677,
        4.976581453090086,
        4.976601535527497,
        4.9766216179649065,
        4.976641700402316,
        4.976661782839726,
        4.976681865277137,
        4.976701947714547,
        4.976722030151957,
        4.976742112589366,
        4.976762195026777,
        4.976782277464187,
        4.976802359901596,
        4.976822442339007,
        4.976842524776416,
        4.976862607213827,
        4.976882689651237,
        4.976902772088646,
        4.976922854526057,
        4.976942936963466,
        4.976963019400876,
        4.976983101838287,
        4.977003184275696,
        4.977605657397995,
        4.977625739835405,
        4.977645822272816,
        4.977665904710226,
        4.977685987147637,
        4.977706069585046,
        4.977726152022456,
        4.9777462344598655,
        4.9777663168972754,
        4.977786399334685,
        4.977806481772095,
        4.977826564209505,
        4.977846646646915,
        4.977866729084326,
        4.977886811521736,
        4.977906893959146,
        4.977926976396556,
        4.977947058833965,
        4.9779671412713755,
        4.977987223708785,
        4.9780073061461945,
        4.978027388583605,
        4.978047471021015
    ],
    "flux": [
        1.08808,
        1.08485,
        1.0817,
        1.07867,
        1.07519,
        1.06842,
        1.06207,
        1.06757,
        1.07732,
        1.07357,
        1.06887,
        1.07143,
        1.07863,
        1.08223,
        1.08232,
        1.08065,
        1.06572,
        1.06266,
        1.07365,
        1.07195,
        1.06679,
        1.06738,
        1.0659,
        1.07591,
        1.08098,
        1.08201,
        1.08057,
        1.08518,
        1.08654,
        1.06889,
        1.0612,
        1.06375,
        1.07044,
        1.07667,
        1.08017,
        1.08394,
        1.08073,
        1.08129,
        1.08693,
        1.0843,
        1.08224,
        1.07492,
        1.06954,
        1.07342,
        1.06053,
        1.04527,
        1.07081,
        1.04831,
        1.05395,
        1.06454,
        1.06966,
        1.06345,
        1.06636,
        1.07696,
        1.0781,
        1.07286,
        1.06772,
        1.06418,
        1.06096,
        1.06281,
        1.06204,
        1.07286,
        1.07242,
        1.06222,
        1.05642,
        1.04995,
        1.04742,
        1.05585,
        1.06288,
        1.05914,
        1.05946,
        1.06388,
        1.05886,
        1.05506,
        1.05601,
        1.06134,
        1.06374,
        1.05881,
        1.05355,
        1.05163,
        1.05039,
        1.0461,
        1.04605,
        1.04933,
        1.05011,
        1.05757,
        1.0546,
        1.04958,
        1.05266,
        1.05591,
        1.0499,
        1.04649,
        1.05218,
        1.05321,
        1.05423,
        1.05455,
        1.052,
        1.04972,
        1.04836,
        1.05049,
        1.05279,
        1.05195,
        1.05234,
        1.05137,
        1.04884,
        1.0532,
        1.05516,
        1.05138,
        1.04883,
        1.04741,
        1.05365,
        1.0551,
        1.0503,
        1.04697,
        1.04801,
        1.04794,
        1.05246,
        1.05785,
        1.05434,
        1.05471,
        1.05478,
        1.05444,
        1.05586,
        1.05076,
        1.04445,
        1.04547,
        1.05155,
        1.05808,
        1.05764,
        1.04978,
        1.04652,
        1.0474,
        1.05672,
        1.05773,
        1.05276,
        1.05057,
        1.0481,
        1.04543,
        1.04928,
        1.04739,
        1.04009,
        1.04364,
        1.05384,
        1.05655,
        1.05212,
        1.04999,
        1.05474,
        1.05458,
        1.0499,
        1.04696,
        1.04587,
        1.04683,
        1.0519,
        1.05195,
        1.04937,
        1.04897,
        1.04376,
        1.04355,
        1.04426,
        1.04437,
        1.04471,
        1.04398,
        1.04934,
        1.04526,
        1.04452,
        1.04862,
        1.04838,
        1.04648,
        1.0488,
        1.05201,
        1.05281,
        1.04935,
        1.04766,
        1.03978,
        1.00865,
        0.948422,
        0.881349,
        0.872868,
        0.919733,
        0.979775,
        1.02366,
        1.04967,
        1.05135,
        1.0532,
        1.05096,
        1.04673,
        1.04779,
        1.0502,
        1.05049,
        1.04607,
        1.04558,
        1.04688,
        1.04443,
        1.04162,
        1.04689,
        1.05225,
        1.05247,
        1.04923,
        1.04528,
        1.0403,
        1.03832,
        1.04154,
        1.04606,
        1.04223,
        1.04045,
        1.04227,
        1.04282,
        1.04365,
        1.04419,
        1.04425,
        1.0452,
        1.04393,
        1.04348,
        1.04541,
        1.04929,
        1.04913,
        1.05216,
        1.0481,
        1.04118,
        1.04209,
        1.04692,
        1.04451,
        1.04436,
        1.04607,
        1.04606,
        1.04508,
        1.04736,
        1.04853,
        1.04948,
        1.04482,
        1.04893,
        1.05048,
        1.0505,
        1.05544,
        1.05538,
        1.05423,
        1.05252,
        1.05195,
        1.0514,
        1.05163,
        1.05207,
        1.05386,
        1.056,
        1.05691,
        1.05817,
        1.06023,
        1.05887,
        1.0561,
        1.05074,
        1.05469,
        1.05487,
        1.05684,
        1.0559,
        1.05094,
        1.05357,
        1.05614,
        1.05277,
        1.05274,
        1.05718,
        1.05717,
        1.05397,
        1.05756,
        1.05392,
        1.05253,
        1.05639,
        1.05541,
        1.05235,
        1.05428,
        1.05501,
        1.05571,
        1.05714,
        1.05572,
        1.05815,
        1.05907,
        1.05171,
        1.05488,
        1.05735,
        1.05757,
        1.04756,
        1.03795,
        1.03648,
        1.0333,
        1.03973,
        1.05134,
        1.05345,
        1.05762,
        1.0564,
        1.05185,
        1.05232,
        1.05157,
        1.05702,
        1.05542,
        1.05643,
        1.0579,
        1.05859,
        1.06596,
        1.06058,
        1.05868,
        1.0552,
        1.05733,
        1.0637,
        1.06151,
        1.05517,
        1.05267,
        1.05761,
        1.06169,
        1.05957,
        1.05352,
        1.05588,
        1.05176,
        1.05532,
        1.06031,
        1.05909,
        1.05783,
        1.05773,
        1.06016,
        1.05749,
        1.05627,
        1.061,
        1.06054,
        1.05674,
        1.05797,
        1.06001,
        1.06087,
        1.0598,
        1.06574,
        1.07189,
        1.06454,
        1.05641,
        1.06554,
        1.06621,
        1.06702,
        1.0612,
        1.0615,
        1.06529,
        1.06188,
        1.0596,
        1.06214,
        1.06196,
        1.06127,
        1.06729,
        1.0755,
        1.07374,
        1.06698,
        1.06694,
        1.07219,
        1.07238,
        1.07296,
        1.07516,
        1.07335,
        1.0686,
        1.06509,
        1.06077,
        1.06061,
        1.06386,
        1.0653,
        1.05727,
        1.05852,
        1.06436,
        1.0649,
        1.06303,
        1.06432,
        1.06573,
        1.07131,
        1.07583,
        1.07618,
        1.0798,
        1.08389,
        1.07772,
        1.07139,
        1.07082,
        1.07423,
        1.0688,
        1.06764,
        1.07304,
        1.07342,
        1.07551,
        1.0722,
        1.06584,
        1.06835,
        1.07331,
        1.07634,
        1.07773,
        1.07668,
        1.07943,
        1.07976,
        1.08159,
        1.08458,
        1.08329,
        1.08237,
        1.08071,
        1.08001,
        1.08015,
        1.08272,
        1.07974,
        1.08101,
        1.08184,
        1.0814,
        1.08495,
        1.0915,
        1.08822,
        1.07927,
        1.08067,
        1.082,
        1.09151,
        1.09012,
        1.08654,
        1.08986,
        1.09207,
        1.08521,
        1.08139,
        1.08527,
        1.08815,
        1.08655,
        1.08889,
        1.08842,
        1.08051,
        1.08076,
        1.08278,
        1.09038,
        1.09089,
        1.08531,
        1.08785,
        1.08799,
        1.08715,
        1.08315,
        1.08182,
        1.08258,
        1.08417,
        1.08325,
        1.0827,
        1.08247,
        1.07955,
        1.08033,
        1.08138,
        1.08233,
        1.08279,
        1.07999,
        1.08006,
        1.07909,
        1.07412,
        1.06962,
        1.0683,
        1.0643,
        1.06587,
        1.07274,
        1.08102,
        1.08539,
        1.08805,
        1.08856,
        1.08227,
        1.0828,
        1.08761,
        1.08625,
        1.08203,
        1.0806,
        1.07624,
        1.0767,
        1.08465,
        1.0834,
        1.08385,
        1.08437,
        1.08272,
        1.08174,
        1.07365,
        1.07481,
        1.07623,
        1.07398,
        1.07047,
        1.07387,
        1.08015,
        1.08249,
        1.08385,
        1.08077,
        1.08021,
        1.08174,
        1.08067,
        1.0813,
        1.08186,
        1.07734,
        1.07743,
        1.08062,
        1.08436,
        1.08868,
        1.08753,
        1.08589,
        1.08198,
        1.08984,
        1.09068,
        1.09055,
        1.09229,
        1.08682,
        1.08463,
        1.08205,
        1.08534,
        1.09156,
        1.09117,
        1.08863,
        1.08651,
        1.07762,
        1.0805,
        1.08314,
        1.08624,
        1.08968,
        1.09422,
        1.09243,
        1.08821,
        1.08648,
        1.08541,
        1.08668,
        1.08535,
        1.08751,
        1.09097,
        1.08663,
        1.08482,
        1.08574,
        1.09181,
        1.09772,
        1.10215,
        1.10267,
        1.09251,
        1.07852,
        1.04031,
        0.964502,
        0.888918,
        0.877998,
        0.939282,
        1.01882,
        1.06769,
        1.09156,
        1.09596,
        1.09089,
        1.08462,
        1.08726,
        1.08733,
        1.08546,
        1.08233,
        1.08436,
        1.08534,
        1.0811,
        1.08126,
        1.08607,
        1.08827,
        1.08958,
        1.09038,
        1.08848,
        1.09177,
        1.10112,
        1.09811,
        1.09425,
        1.09495,
        1.09838,
        1.09334,
        1.08737,
        1.08873,
        1.08507,
        1.09104,
        1.09727,
        1.09584,
        1.09368,
        1.09373,
        1.09568,
        1.10484,
        1.10598,
        1.101,
        1.10114,
        1.10347,
        1.10419,
        1.10679,
        1.09854,
        1.09949,
        1.09996,
        1.09932,
        1.10035,
        1.09643,
        1.09674,
        1.10376,
        1.103,
        1.10649,
        1.10908,
        1.10799,
        1.10861,
        1.10827,
        1.10676,
        1.10615,
        1.10659,
        1.1033,
        1.10784,
        1.11218,
        1.09412,
        1.08093,
        1.09422,
        1.12906,
        1.12565,
        1.09345,
        1.09687,
        1.09606,
        1.10266,
        1.10726,
        1.10489,
        1.10031,
        1.1056,
        1.11178,
        1.10591,
        1.10763,
        1.10776,
        1.10684,
        1.10785,
        1.10732,
        1.10369,
        1.10326,
        1.11299,
        1.10854,
        1.10419,
        1.10903,
        1.1103,
        1.10566,
        1.10285,
        1.10085,
        1.10037,
        1.09513,
        1.08454,
        1.082,
        1.08502,
        1.10008,
        1.11035,
        1.10569,
        1.09869,
        1.09911,
        1.10167,
        1.09624,
        1.09671,
        1.1014,
        1.09785,
        1.09977,
        1.09874,
        1.09669,
        1.09417,
        1.09509,
        1.09952,
        1.09884,
        1.09378,
        1.09168,
        1.09109,
        1.09364,
        1.09486,
        1.08948,
        1.09877,
        1.10839,
        1.10818,
        1.10692,
        1.10345,
        1.10035,
        1.10128,
        1.11057,
        1.11423,
        1.10465,
        1.10491,
        1.10766,
        1.10984,
        1.10855,
        1.10154,
        1.10162,
        1.10496,
        1.11688,
        1.13718,
        1.16149,
        1.18703,
        1.20502,
        1.19622,
        1.13916,
        0.975037,
        0.679179,
        0.373123,
        0.189118,
        0.173097,
        0.320929,
        0.606566,
        0.893168,
        1.05956,
        1.11598,
        1.12432,
        1.11771,
        1.10983,
        1.098,
        1.08439,
        1.07074,
        1.09051,
        1.0766,
        1.09575,
        1.05093,
        1.06218,
        1.0573,
        1.05102,
        1.06926,
        1.06313,
        1.08173,
        1.08784,
        1.08233,
        1.07684,
        1.07765,
        1.08012,
        1.08396,
        1.08847,
        1.08957,
        1.08829,
        1.08141,
        1.08675,
        1.09367,
        1.09618,
        1.09713,
        1.08898,
        1.09011,
        1.08783,
        1.09194,
        1.09702,
        1.09636,
        1.0893,
        1.08251,
        1.08571,
        1.08409,
        1.08341,
        1.07947,
        1.0775,
        1.07961,
        1.08229,
        1.08308,
        1.07373,
        1.0743,
        1.07475,
        1.07154,
        1.07008,
        1.07257,
        1.07153,
        1.07913,
        1.07395,
        1.07287,
        1.07279,
        1.06427,
        1.05895,
        1.06947,
        1.06973,
        1.07221,
        1.07271,
        1.07106,
        1.06426,
        1.06575,
        1.07837,
        1.07847,
        1.07869,
        1.07744,
        1.08036,
        1.07729,
        1.07269,
        1.07306,
        1.07305,
        1.07294,
        1.07432,
        1.07322,
        1.07384,
        1.06432,
        1.05981,
        1.06706,
        1.06258,
        1.06486,
        1.06379,
        1.0653,
        1.06771,
        1.07942,
        1.09273,
        1.08356,
        1.06688,
        1.06392,
        1.06643,
        1.06813,
        1.06736,
        1.06324,
        1.06316,
        1.06038,
        1.06524,
        1.07167,
        1.06453,
        1.06051,
        1.06437,
        1.06397,
        1.06788,
        1.06314,
        1.06459,
        1.06665,
        1.06657,
        1.0715,
        1.06732,
        1.0658,
        1.06266,
        1.06777,
        1.06587,
        1.0613,
        1.06432,
        1.06817,
        1.06964,
        1.0617,
        1.05241,
        1.04778,
        1.04423,
        1.04465,
        1.05152,
        1.05212,
        1.05976,
        1.04897,
        1.04979,
        1.05662,
        1.06114,
        1.05837,
        1.06115,
        1.05762,
        1.06224,
        1.07328,
        1.06775,
        1.06019,
        1.0584,
        1.06541,
        1.07045,
        1.06575,
        1.06367,
        1.06477,
        1.06655,
        1.0659,
        1.05948,
        1.06123,
        1.06118,
        1.06801,
        1.07328,
        1.07211,
        1.07133,
        1.07185,
        1.0711,
        1.06791,
        1.06747,
        1.06946,
        1.07143,
        1.07105,
        1.07016,
        1.06782,
        1.06099,
        1.05834,
        1.05587,
        1.0596,
        1.06847,
        1.07334,
        1.07281,
        1.07635,
        1.07744,
        1.05398,
        1.00165,
        0.909615,
        0.819782,
        0.810613,
        0.886245,
        0.9788,
        1.03514,
        1.05678,
        1.06157,
        1.06051,
        1.05837,
        1.06039,
        1.05732,
        1.05535,
        1.05339,
        1.05038,
        1.0536,
        1.05554,
        1.05202,
        1.05491,
        1.05651,
        1.05062,
        1.05078,
        1.0507,
        1.04614,
        1.03968,
        1.04675,
        1.06062,
        1.05671,
        1.05674,
        1.05229,
        1.04947,
        1.04869,
        1.05514,
        1.05382,
        1.049,
        1.04702,
        1.05,
        1.05224,
        1.05483,
        1.0604,
        1.05863,
        1.0616,
        1.05943,
        1.05611,
        1.049,
        1.04908,
        1.06137,
        1.06229,
        1.05272,
        1.06088,
        1.05937,
        1.05323,
        1.04494,
        1.05401,
        1.07395,
        1.07555,
        1.07659,
        1.07822,
        1.07255,
        1.05009,
        1.04104,
        1.05978,
        1.059,
        1.05359,
        1.0612,
        1.05616,
        1.07177,
        1.0738,
        1.06058,
        1.05368,
        1.05475,
        1.0541,
        1.05644,
        1.06664,
        1.06695,
        1.06243,
        1.05646,
        1.04977,
        1.04806,
        1.05276,
        1.05505,
        1.0482,
        1.04545,
        1.05286,
        1.05772,
        1.06341,
        1.06052,
        1.05269,
        1.04416,
        1.03214,
        1.0285,
        1.03695,
        1.04448,
        1.04751,
        1.05299,
        1.05101,
        1.04961,
        1.04996,
        1.0464,
        1.04656,
        1.05146,
        1.05821,
        1.05327,
        1.04135,
        1.0453,
        1.05065,
        1.04557,
        1.04682,
        1.04982,
        1.04607,
        1.04445,
        1.04462,
        1.03879,
        1.03734,
        1.0399,
        1.03472,
        1.03436,
        1.04422,
        1.04662,
        1.0472,
        1.04796,
        1.03929,
        1.0337,
        1.03748,
        1.04027,
        1.04646,
        1.05048,
        1.04285,
        1.04099,
        1.04493,
        1.04923,
        1.04908,
        1.04294,
        1.04254,
        1.03984,
        1.03901,
        1.04049,
        1.04163,
        1.04493,
        1.04522,
        1.04641,
        1.04988,
        1.04479,
        1.04015,
        1.03657,
        1.03998,
        1.04735,
        1.04858,
        1.05099,
        1.04969,
        1.04524,
        1.04817,
        1.04593,
        1.04445,
        1.0507,
        1.04669,
        1.03503,
        1.04558,
        1.05155,
        1.0454,
        1.04901,
        1.05758,
        1.05521,
        1.05501,
        1.0588,
        1.05749,
        1.04771,
        1.04358,
        1.03828,
        1.04454,
        1.05819,
        1.05107,
        1.05729,
        1.0648,
        1.06094,
        1.05397,
        1.05596,
        1.05587,
        1.04797,
        1.0515,
        1.05328,
        1.06185,
        1.06672,
        1.05456,
        1.05341,
        1.05917,
        1.06209,
        1.06725,
        1.07105,
        1.07254,
        1.08513,
        1.11403,
        1.14238,
        1.1641,
        1.1775,
        1.17419,
        1.11609,
        0.937154,
        0.625526,
        0.319779,
        0.156966,
        0.149067,
        0.29153,
        0.567128,
        0.842917,
        1.0097,
        1.06537,
        1.06962,
        1.06947,
        1.05728,
        1.04527,
        1.04273,
        1.05303,
        1.04938,
        1.04247,
        1.04214,
        1.02716,
        1.00196,
        0.987214,
        0.957728,
        0.930041,
        0.98429,
        1.02779,
        1.0342,
        1.02583,
        1.02322,
        1.0231,
        1.0207,
        1.02235,
        1.02639,
        1.03034,
        1.02995,
        1.02653,
        1.02513,
        1.03405,
        1.0319,
        1.03094,
        1.02887,
        1.03765,
        1.03669,
        1.03199,
        1.03187,
        1.03112,
        1.0281,
        1.03461,
        1.0342,
        1.03214,
        1.03371,
        1.04336,
        1.04157,
        1.02891,
        1.03674,
        1.03803,
        1.0356,
        1.03709,
        1.03955,
        1.04415,
        1.04479,
        1.04654,
        1.04765,
        1.04299,
        1.04037,
        1.04291,
        1.03763,
        1.03659,
        1.04399,
        1.05182,
        1.05063,
        1.04533,
        1.04484,
        1.04572,
        1.04036,
        1.04398,
        1.05183,
        1.04383,
        1.0363,
        1.04215,
        1.04146,
        null,
        1.23553,
        1.22872,
        1.22155,
        1.21248,
        1.16934,
        1.032,
        0.759416,
        0.431935,
        0.210625,
        0.149194,
        0.240103,
        0.473383,
        0.774166,
        0.984938,
        1.06938,
        1.08039,
        1.06792,
        1.06321,
        1.06434,
        1.07569,
        1.07743,
        1.06498,
        1.05727,
        1.04643,
        1.03453,
        1.03339,
        1.02871,
        1.00769,
        1.03902,
        1.0286,
        1.03103,
        1.0366,
        1.03361,
        1.03256,
        1.03721,
        1.03245,
        1.03069,
        1.03672,
        1.03322,
        1.04305,
        1.04194,
        1.03516,
        1.04341,
        1.04938,
        1.04977,
        1.04178,
        1.0535,
        1.05217,
        1.04595,
        1.04301,
        1.04193,
        1.04201,
        1.04775,
        1.05385,
        1.05635,
        1.0503,
        1.04827,
        1.05125,
        1.04824,
        1.04721,
        1.05487,
        1.05345,
        1.05456,
        1.05734,
        1.06144,
        1.06451,
        1.06364,
        1.05753,
        1.02942,
        0.953916,
        0.83455,
        0.730429,
        0.732053,
        0.82939,
        0.936741,
        1.00787,
        1.03194,
        1.02246,
        1.02844,
        1.03466,
        1.03333,
        1.03435,
        1.03638,
        1.04138,
        1.04328,
        1.04014,
        1.03899,
        1.0413,
        1.04164,
        1.03492,
        1.02903,
        1.03201,
        1.0342,
        1.03265,
        1.03188,
        1.03662,
        1.03739,
        1.03108,
        1.04025,
        1.04888,
        1.04195,
        1.04262,
        1.03965,
        1.03601,
        1.03542,
        1.03806,
        1.03824,
        1.03275,
        1.0281,
        1.02049,
        1.02263,
        1.03389,
        1.03772,
        1.04221,
        1.0394,
        1.04128,
        1.03949,
        1.04437,
        1.04786,
        1.04586,
        1.04251,
        1.03714,
        1.02644,
        1.02948,
        1.03725,
        1.03844,
        1.03919,
        1.03986,
        1.04653,
        1.05154,
        1.04628,
        1.04007,
        1.03986,
        1.04385,
        1.0464,
        1.04162,
        1.0399,
        1.05023,
        1.05044,
        1.05067,
        1.04992,
        1.05113,
        1.04869,
        1.03877,
        1.03882,
        1.04332,
        1.04377,
        1.04675,
        1.04494,
        1.04514,
        1.0486,
        1.04786,
        1.04171,
        1.0389,
        1.03048,
        1.01919,
        1.00915,
        1.00909,
        1.01925,
        1.03354,
        1.04232,
        1.04682,
        1.05116,
        1.05193,
        1.05303,
        1.04919,
        1.04841,
        1.05394,
        1.0584,
        1.05517,
        1.05076,
        1.04736,
        1.04414,
        1.03548,
        1.0237,
        1.03684,
        1.04613,
        1.04913,
        1.04764,
        1.04169,
        1.03611,
        1.03788,
        1.0329,
        1.03635,
        1.03937,
        1.04108,
        1.03278,
        1.03378,
        1.04016,
        1.04121,
        1.03974,
        1.03889,
        1.03818,
        1.03715,
        1.0299,
        1.03041,
        1.04178,
        1.04439,
        1.04241,
        1.0406,
        1.03872,
        1.03741,
        1.04157,
        1.03979,
        1.04244,
        1.0424,
        1.04116,
        1.03804,
        1.03357,
        1.0411,
        1.04902,
        1.04292,
        1.03947,
        1.03619,
        1.04291,
        1.04356,
        1.03598,
        1.03218,
        1.03628,
        1.03519,
        1.03795,
        1.03792,
        1.03611,
        1.03831,
        1.03887,
        1.03722,
        1.03686,
        1.03745,
        1.04138,
        1.03943,
        1.04823,
        1.05977,
        1.04711,
        1.04397,
        1.05389,
        1.05415,
        1.04453,
        1.03909,
        1.04185,
        1.06969,
        1.05283,
        1.04326,
        1.05131,
        1.05145,
        1.03944,
        1.03794,
        1.03324,
        1.03938,
        1.04251,
        1.03291,
        1.02998,
        1.04005,
        1.04997,
        1.04568,
        1.04047,
        1.04549,
        1.03419,
        1.04446,
        1.03873,
        1.04167,
        1.03264,
        1.04055,
        1.03718,
        1.03009,
        1.02949,
        1.04128,
        1.05878,
        1.05175,
        1.04458,
        1.03723,
        1.04313,
        1.04084,
        1.03192,
        1.03627,
        1.04198,
        1.04149,
        1.0495,
        1.05282,
        1.05126,
        1.06239,
        1.06212,
        1.05543,
        1.04557,
        1.04193,
        1.04267,
        1.0502,
        1.04915,
        1.04503,
        1.04563,
        1.04781,
        1.0538,
        1.04883,
        1.04755,
        1.05093,
        1.04356,
        1.04939,
        1.06462,
        1.05378,
        1.04785,
        1.04257,
        1.04068,
        1.04426,
        1.04934,
        1.05293,
        1.05676,
        1.05807,
        1.05082,
        1.04468,
        1.04172,
        1.04896,
        1.05121,
        1.04841,
        1.04789,
        1.04438,
        1.0426,
        1.04809,
        1.05475,
        1.05132,
        1.04658,
        1.04526,
        1.04809,
        1.04548,
        1.04774,
        1.0479,
        1.04527,
        1.04698,
        1.04656,
        1.04839,
        1.04604,
        1.04628,
        1.0515,
        1.05899,
        1.05824,
        1.04892,
        1.05564,
        1.0646,
        1.05471,
        1.04566,
        1.04641,
        1.05025,
        1.05046,
        1.05042,
        1.04961,
        1.05178,
        1.05049,
        1.0478,
        1.04513,
        1.04152,
        1.04196,
        1.03949,
        1.04425,
        1.04704,
        1.0493,
        1.04863,
        1.05566,
        1.05573,
        1.04697,
        1.04504,
        1.04636,
        1.04461,
        1.04613,
        1.05458,
        1.04965,
        1.04629,
        1.0511,
        1.0523,
        1.05321,
        1.0516,
        1.04682,
        1.05216,
        1.05232,
        1.04418,
        1.04213,
        1.04343,
        1.04263,
        1.04602,
        1.05462,
        1.05159,
        1.04732,
        1.04416,
        1.03951,
        1.04107,
        1.0495,
        1.04546,
        1.03805,
        1.04372,
        1.05155,
        1.04863,
        1.04519,
        1.05076,
        1.0455,
        1.04584,
        1.04235,
        1.04434,
        1.05129,
        1.0497,
        1.05138,
        1.04697,
        1.04483,
        1.05103,
        1.04807,
        1.05128,
        1.04981,
        1.04553,
        1.05156,
        1.05059,
        1.04917,
        1.04936,
        1.05278,
        1.04645,
        1.05257,
        1.05678,
        1.05397,
        1.05037,
        1.0433,
        1.04395,
        1.05144,
        1.05821,
        1.06496,
        1.06241,
        1.05867,
        1.05561,
        1.06613,
        1.07397,
        1.07412,
        1.08102,
        1.10497,
        1.14607,
        1.18896,
        1.20904,
        1.21374,
        1.20645,
        1.13823,
        0.953064,
        0.636917,
        0.326486,
        0.155451,
        0.135222,
        0.221117,
        0.404995,
        0.675056,
        0.922239,
        1.02947,
        1.05887,
        1.07327,
        1.06705,
        1.05708,
        1.05098,
        1.04588,
        1.03821,
        1.03619,
        1.03195,
        1.03807,
        1.02905,
        1.00341,
        0.989055,
        1.00281,
        1.02005,
        1.03085,
        1.0308,
        1.03223,
        1.03421,
        1.02999,
        1.0288,
        1.01467,
        1.02057,
        1.02324,
        1.02507,
        1.03149,
        1.03634,
        1.04951,
        1.0374,
        1.03084,
        1.03337,
        1.04016,
        1.03612,
        1.03661,
        1.04297,
        1.03296,
        1.03444,
        1.03224,
        1.03994,
        1.04349,
        1.0466,
        1.03805,
        1.03842,
        1.04329,
        1.04693,
        1.04335,
        1.04527,
        1.04564,
        1.04386,
        1.04289,
        1.04433,
        1.04749,
        1.05047,
        1.04221,
        1.0478,
        1.05162,
        1.05286,
        1.04745,
        1.04628,
        1.04862,
        1.04623,
        1.04187,
        1.04453,
        1.04806,
        1.04053,
        1.02891,
        1.00543,
        0.988499,
        0.982364,
        0.992771,
        1.00991,
        1.02728,
        1.03564,
        1.03952,
        1.04276,
        1.04076,
        1.04009,
        1.0415,
        1.04231,
        1.04207,
        1.03651,
        1.03807,
        1.03814,
        1.04965,
        1.04254,
        1.04645,
        1.04273,
        1.03883,
        1.03769,
        1.04982,
        1.06228,
        1.04393,
        1.03024,
        1.03171,
        1.03119,
        1.0305,
        1.03645,
        1.03883,
        1.03367,
        1.03453,
        1.04173,
        1.03912,
        1.03585,
        1.0395,
        1.0411,
        1.03762,
        1.03285,
        1.03619,
        1.0423,
        1.03599,
        1.03609,
        1.03945,
        1.03179,
        1.02814,
        1.02688,
        1.02586,
        1.03042,
        1.03184,
        1.03824,
        1.01997,
        1.03557,
        1.03844,
        1.03753,
        1.03523,
        1.03757,
        1.0343,
        1.03197,
        1.03276,
        1.0397,
        1.0319,
        1.03012,
        1.03489,
        1.04685,
        1.03831,
        1.03302,
        1.02746,
        1.02866,
        1.02668,
        1.03132,
        1.02863,
        1.03205,
        1.0327,
        1.02731,
        1.02554,
        1.03213,
        1.039,
        1.03805,
        1.0368,
        1.03889,
        1.03513,
        1.03122,
        1.03487,
        1.03463,
        1.03049,
        1.03185,
        1.03366,
        1.03568,
        1.03221,
        1.0304,
        1.03044,
        1.03,
        1.03317,
        1.03804,
        1.04047,
        1.03807,
        1.03827,
        1.03824,
        1.02801,
        1.02324,
        1.03023,
        1.03001,
        1.03463,
        1.03957,
        1.03568,
        1.02413,
        1.0202,
        1.02363,
        1.02612,
        1.02905,
        1.03518,
        1.03621,
        1.03558,
        1.0425,
        1.04479,
        1.03065,
        1.02304,
        1.02699,
        1.03549,
        1.04412,
        1.03383,
        1.02519,
        1.03607,
        1.03979,
        1.04266,
        1.0335,
        1.03444,
        1.03326,
        1.02978,
        1.03399,
        1.0362,
        1.0304,
        1.02983,
        1.02611,
        1.02991,
        1.04146,
        1.04265,
        1.04328,
        1.04358,
        1.04232,
        1.03657,
        1.02953,
        1.03238,
        1.03546,
        1.04162,
        1.03945,
        1.02994,
        1.03285,
        1.04103,
        1.0425,
        1.03934,
        1.03728,
        1.03808,
        1.03607,
        1.03811,
        1.03933,
        1.04015,
        1.041,
        1.04117,
        1.04535,
        1.04813,
        1.04476,
        1.03423,
        1.03411,
        1.03966,
        1.04056,
        1.04447,
        1.03988,
        1.04073,
        1.04402,
        1.02574,
        1.02183,
        1.02494,
        1.0339,
        1.04036,
        1.04202,
        1.03756,
        1.02284,
        0.997463,
        1.03741,
        1.04497,
        1.03994,
        1.03703,
        1.03529,
        1.03294,
        1.02505,
        1.02395,
        1.03968,
        1.04702,
        1.03709,
        1.03833,
        1.0377,
        1.02916,
        1.02356,
        1.01986,
        1.02541,
        1.03413,
        1.03422,
        1.02939,
        1.02714,
        1.03085,
        1.03033,
        1.0332,
        1.04046,
        1.04934,
        1.04814,
        1.04076,
        1.03968,
        1.04683,
        1.08481,
        1.09913,
        1.05821,
        1.03796,
        1.03772,
        1.03577,
        1.03828,
        1.04248,
        1.03342,
        1.02944,
        1.03934,
        1.03777,
        1.03724,
        1.0284,
        1.02944,
        1.04632,
        1.04198,
        1.03618,
        1.04731,
        1.04279,
        1.0421,
        1.04478,
        1.04426,
        1.038,
        1.04541,
        1.05166,
        1.05225,
        1.05561,
        1.06147,
        1.05703,
        1.05755,
        1.05734,
        1.06335,
        1.064,
        1.05425,
        1.02754,
        1.02515,
        1.041,
        1.05701,
        1.05075,
        1.04458,
        1.04141,
        1.04643,
        1.04705,
        1.0511,
        1.05783,
        1.05161,
        1.0528,
        1.04135,
        1.03062,
        1.03873,
        1.04801,
        1.04317,
        1.0432,
        1.05026,
        1.05303,
        1.04933,
        1.05281,
        1.05153,
        1.05021,
        1.05325,
        1.05353,
        1.04627,
        1.04325,
        1.04937,
        1.05814,
        1.0528,
        1.05241,
        1.04743,
        1.05244,
        1.06107,
        1.06174,
        1.06861,
        1.06942,
        1.06233,
        1.02532,
        0.924281,
        0.754691,
        0.634706,
        0.66507,
        0.79584,
        0.925703,
        1.00718,
        1.03288,
        1.04616,
        1.04739,
        1.04467,
        1.04761,
        1.0507,
        1.04851,
        1.04568,
        1.03965,
        1.03714,
        1.04362,
        1.04765,
        1.05051,
        1.05663,
        1.05837,
        1.05802,
        1.06447,
        1.06389,
        1.06709,
        1.05648,
        1.05324,
        1.05362,
        1.0404,
        1.03845,
        1.06572,
        1.07672,
        1.04628,
        1.0149,
        1.03849,
        1.04678,
        1.04677,
        1.04849,
        1.04727,
        1.05129,
        1.04814,
        1.04886,
        1.06087,
        1.06745,
        1.062,
        1.05287,
        1.05917,
        1.06252,
        1.06484,
        1.06405,
        1.06457,
        1.07455,
        1.07419,
        1.06978,
        1.08427,
        1.10105,
        1.12614,
        1.16251,
        1.19764,
        1.22815,
        1.24119,
        1.22915,
        1.14215,
        0.916277,
        0.573745,
        0.28905,
        0.155938,
        0.176989,
        0.399362,
        0.737731,
        0.970717,
        1.05827,
        1.07675,
        1.07275,
        1.05567,
        1.04669,
        1.02957,
        1.01693,
        1.03149,
        1.0446,
        1.05607,
        1.04634,
        1.03183,
        1.01799,
        1.03539,
        1.04604,
        1.0472,
        1.04571,
        1.04797,
        1.05,
        1.05002,
        1.03607,
        1.02976,
        1.04009,
        1.04256,
        1.0511,
        1.04951,
        1.04621,
        1.05087,
        1.05736,
        1.0506,
        1.03864,
        1.04521,
        1.05065,
        1.05634,
        1.05843,
        1.05535,
        1.04987,
        1.04319,
        1.0468,
        1.05245,
        1.05407,
        1.05522,
        1.05599,
        1.0567,
        1.06038,
        1.05877,
        1.04897,
        1.05481,
        1.06989,
        1.05512,
        1.05234,
        1.06019,
        1.06459,
        1.06396,
        1.06349,
        1.05972,
        1.05785,
        1.06192,
        1.06422,
        1.06189,
        1.06053,
        1.05917,
        1.05851,
        1.06384,
        1.06223,
        1.06,
        1.06356,
        1.05647,
        1.06083,
        1.06427,
        1.06705,
        1.05375,
        1.02964,
        1.03816,
        1.08485,
        1.05678,
        1.04896,
        1.0577,
        1.0534,
        1.05151,
        1.05311,
        1.05062,
        1.04785,
        1.05916,
        1.0668,
        1.05555,
        1.04855,
        1.04912,
        1.04706,
        1.04566,
        1.04313,
        1.04455,
        1.05043,
        1.04917,
        1.04837,
        1.05037,
        1.04635,
        1.04405,
        1.03943,
        1.04178,
        1.04329,
        1.03897,
        1.03755,
        1.04225,
        1.0376,
        1.03549,
        1.04202,
        1.04431,
        1.03969,
        1.04067,
        1.05412,
        1.04883,
        1.03533,
        1.0403,
        1.04597,
        1.04897,
        1.04714,
        1.04946,
        1.05111,
        1.05305,
        1.0466,
        1.04627,
        1.05273,
        1.05895,
        1.05455,
        1.05624,
        1.05771,
        1.05292,
        1.04887,
        1.04147,
        1.04207,
        1.05392,
        1.06069,
        1.05361,
        1.04934,
        1.05291,
        1.05724,
        1.05911,
        1.05234,
        1.0518,
        1.05727,
        1.06204,
        1.06521,
        1.05812,
        1.06669,
        1.06958,
        1.0499,
        1.05384,
        1.05442,
        1.05483,
        1.05362,
        1.05393,
        1.05444,
        1.05005,
        1.05038,
        1.04884,
        1.05382,
        1.05415,
        1.04328,
        1.05159,
        1.0633,
        1.06082,
        1.05401,
        1.04928,
        1.05239,
        1.08852,
        1.1005,
        1.07286,
        1.0489,
        1.05332,
        1.0538,
        1.04026,
        1.03648,
        1.0522,
        1.05008,
        1.05143,
        1.0442,
        1.04588,
        1.0531,
        1.04605,
        1.03129,
        1.02527,
        1.03896,
        1.0383,
        1.03473,
        1.03154,
        1.04098,
        1.04972,
        1.05167,
        1.04301,
        1.0359,
        1.0379,
        1.04104,
        1.03473,
        1.03409,
        1.03724,
        1.04365,
        1.04349,
        1.04171,
        1.04127,
        1.03498,
        1.0328,
        1.03705,
        1.0514,
        1.05701,
        1.03498,
        1.03921,
        1.0468,
        1.04924,
        1.05206,
        1.05306,
        1.04612,
        1.04322,
        1.04808,
        1.05098,
        1.05674,
        1.04959,
        1.04778,
        1.05949,
        1.06401,
        1.05742,
        1.04437,
        1.041,
        1.06267,
        1.05409,
        1.04589,
        1.04708,
        1.05411,
        null,
        1.04281,
        1.03994,
        1.03688,
        1.03364,
        1.02289,
        1.01889,
        1.02799,
        1.04486,
        1.03861,
        1.03421,
        1.03603,
        1.02911,
        1.02021,
        1.03072,
        1.03458,
        1.01917,
        1.02116,
        1.03405,
        1.0328,
        1.02929,
        1.03209,
        1.03114,
        1.03458,
        1.03029,
        1.03126,
        1.03074,
        1.02875,
        1.02414,
        1.03054,
        1.02807,
        1.02176,
        1.02448,
        1.02587,
        1.02449,
        1.0179,
        1.00904,
        1.01682,
        1.02278,
        1.02931,
        1.02969,
        1.02436,
        1.01974,
        1.0171,
        1.02325,
        1.0179,
        1.01559,
        1.02399,
        1.02675,
        1.02297,
        1.02026,
        1.02283,
        1.02992,
        1.02745,
        1.01161,
        1.01832,
        1.02194,
        1.02089,
        1.02574,
        1.02461,
        1.01992,
        1.01262,
        1.00804,
        1.01024,
        1.01595,
        1.02623,
        1.02238,
        1.03642,
        1.03363,
        1.02715,
        1.02597,
        1.03003,
        1.03406,
        1.03166,
        1.02924,
        1.01757,
        1.01679,
        1.02438,
        1.0254,
        1.0186,
        1.02705,
        1.03968,
        1.03204,
        1.0235,
        1.02639,
        1.03188,
        1.03994,
        1.02504,
        1.03126,
        1.03087,
        1.0304,
        1.02958,
        1.03048,
        1.02837,
        1.02228,
        1.01858,
        1.02944,
        1.04154,
        1.02559,
        1.03808,
        1.02659,
        1.02137,
        1.03067,
        1.02745,
        1.02805,
        1.03186,
        1.0264,
        1.02363,
        1.01729,
        1.01757,
        1.02489,
        1.02893,
        1.02878,
        1.02414,
        1.02175,
        1.02436,
        1.03628,
        1.04663,
        1.03932,
        1.03918,
        1.01022,
        0.964867,
        0.826453,
        0.63227,
        0.51937,
        0.580954,
        0.730678,
        0.860345,
        0.962808,
        1.02444,
        1.01088,
        1.02056,
        1.0205,
        1.02786,
        1.02469,
        1.02186,
        1.01662,
        1.01836,
        1.01855,
        1.02002,
        1.01979,
        1.02143,
        1.01746,
        1.0182,
        1.02678,
        1.0324,
        1.0253,
        1.01984,
        1.01527,
        1.01591,
        1.01698,
        1.01663,
        1.01728,
        1.01628,
        1.01392,
        1.01714,
        1.02995,
        1.0307,
        1.02455,
        1.01479,
        1.02789,
        1.03855,
        1.04687,
        1.02143,
        1.02017,
        1.02138,
        1.02221,
        1.01869,
        1.00966,
        1.02069,
        1.03122,
        1.02815,
        1.02948,
        1.03475,
        1.02231,
        1.01821,
        1.02311,
        1.01521,
        1.00924,
        1.01029,
        1.01716,
        1.02102,
        1.0236,
        1.02546,
        1.03925,
        1.0331,
        1.02586,
        1.01533,
        0.995923,
        0.969713,
        0.953685,
        0.966509,
        0.993705,
        1.01877,
        1.02878,
        1.01921,
        1.02297,
        1.02474,
        1.0369,
        1.03412,
        1.03202,
        1.03927,
        1.04161,
        1.04378,
        1.04385,
        1.03804,
        1.04397,
        1.04617,
        1.0351,
        1.03813,
        1.03539,
        1.02735,
        1.03034,
        1.03231,
        1.03511,
        1.02565,
        1.01466,
        1.02327,
        1.04443,
        1.03974,
        1.02903,
        1.02785,
        1.03442,
        1.03738,
        1.03823,
        1.03723,
        1.03707,
        1.04235,
        1.03839,
        1.03601,
        1.03403,
        1.03239,
        1.03683,
        1.0423,
        1.04216,
        1.03411,
        1.03151,
        1.03625,
        1.03423,
        1.03973,
        1.04051,
        1.05169,
        1.05169,
        1.04714,
        1.04641,
        1.03527,
        1.04718,
        1.0517,
        1.04809,
        1.02941,
        1.03571,
        1.04404,
        1.05413,
        1.0541,
        1.0512,
        1.04334,
        1.03706,
        1.03321,
        1.02705,
        1.02986,
        1.02554,
        1.02952,
        1.02651,
        1.03616,
        1.03086,
        1.03429,
        1.03891,
        1.04138,
        1.04098,
        1.04286,
        1.04328,
        1.0445,
        1.04469,
        1.03789,
        1.02938,
        1.03531,
        1.03356,
        1.03484,
        1.04885,
        1.0475,
        1.03706,
        1.03907,
        1.04861,
        1.04963,
        1.04954,
        1.04857,
        1.0487,
        1.0441,
        1.04684,
        1.0428,
        1.03501,
        1.03903,
        1.04589,
        1.03938,
        1.05304,
        1.0516,
        1.04454,
        1.05392,
        1.05522,
        1.05087,
        1.04869,
        1.04851,
        1.0419,
        1.0407,
        1.05155,
        1.05637,
        1.05462,
        1.05778,
        1.063,
        1.0634,
        1.06339,
        1.06583,
        1.06848,
        1.07626,
        1.09821,
        1.13531,
        1.17791,
        1.20319,
        1.22125,
        1.21848,
        1.14291,
        0.910599,
        0.581326,
        0.298962,
        0.157146,
        0.153821,
        0.27475,
        0.52228,
        0.809915,
        0.993016,
        1.05392,
        1.05998,
        1.05574,
        1.05293,
        1.05591,
        1.05673,
        1.06968,
        1.06018,
        1.04578,
        1.03353,
        1.02315,
        1.02524,
        0.972188,
        1.03544,
        1.01717,
        1.01997,
        1.04767,
        1.05859,
        1.04785,
        1.03385,
        1.03372,
        1.03367,
        1.03548,
        1.03599,
        1.03381,
        1.03796,
        1.0383,
        1.03755,
        1.03886,
        1.03736,
        1.02935,
        1.03728,
        1.03916,
        1.05089,
        1.03121,
        1.02747,
        1.03775,
        1.03743,
        1.04883,
        1.05413,
        1.03861,
        1.04281,
        1.05434,
        1.04242,
        1.03709,
        1.04711,
        1.05092,
        1.04013,
        1.04139,
        1.04478,
        1.05286,
        1.05445,
        1.05931,
        1.06384,
        1.05773,
        1.04641,
        1.04057,
        1.05987,
        1.06567,
        1.07453,
        1.09184,
        1.07482,
        1.07192,
        1.07705,
        1.08925,
        6.53186,
        1.12341,
        1.10728,
        1.04496,
        1.02855,
        1.04025,
        1.0609,
        1.07572,
        1.07142,
        1.04867,
        1.06398,
        1.0552,
        1.04668,
        1.05102,
        1.06472,
        1.06411,
        1.05882,
        1.04884,
        1.04989,
        1.04996,
        1.05161,
        1.06395,
        1.0535,
        1.04515,
        1.05362,
        1.05741,
        1.0562,
        1.05841,
        1.04568,
        1.04246,
        1.04964,
        1.05764,
        1.06073,
        1.0607,
        1.06401,
        1.05776,
        1.0627,
        1.05316,
        1.06412,
        1.07458,
        1.05999,
        1.05189,
        1.05625,
        1.06456,
        1.06677,
        1.04901,
        1.04058,
        1.07633,
        1.0899,
        1.05658,
        1.06267,
        1.05681,
        1.05032,
        1.04734,
        1.04439,
        1.04989,
        1.04974,
        1.03853,
        1.03815,
        1.02877,
        1.04891,
        1.05042,
        1.03514,
        1.03115,
        1.04166,
        1.04874,
        1.04279,
        1.04098,
        1.05391,
        1.05853,
        1.05308,
        1.03531,
        0.953933,
        0.789392,
        0.595067,
        0.538993,
        0.66802,
        0.85484,
        0.977032,
        1.02366,
        1.03872,
        1.04008,
        1.03685,
        1.03967,
        1.02966,
        1.02944,
        1.03589,
        1.0359,
        1.04242,
        1.03808,
        1.04036,
        1.03565,
        1.03522,
        1.03197,
        1.03486,
        1.03904,
        1.03331,
        1.0335,
        1.04119,
        1.02863,
        1.02333,
        1.02753,
        1.0373,
        1.03325,
        1.03222,
        1.02821,
        1.03643,
        1.04479,
        1.04396,
        1.03391,
        1.03687,
        1.02616,
        1.02893,
        1.04013,
        1.03658,
        1.04196,
        1.04508,
        1.04477,
        1.04393,
        1.03961,
        1.03339,
        1.04711,
        1.05527,
        1.04965,
        1.04279,
        1.04079,
        1.04075,
        1.0402,
        1.03529,
        1.03972,
        1.04406,
        1.04368,
        1.03963,
        1.03018,
        1.01255,
        0.973259,
        0.95026,
        0.974072,
        1.01248,
        1.03159,
        1.03517,
        1.0301,
        1.03064,
        1.03993,
        1.04654,
        1.04542,
        1.04953,
        1.04216,
        1.04024,
        1.0374,
        1.04392,
        1.04535,
        1.03923,
        1.03597,
        1.03362,
        1.03081,
        1.04172,
        1.04776,
        1.03385,
        1.03101,
        1.03609,
        1.03611,
        1.03142,
        1.03398,
        1.04379,
        1.04043,
        1.0318,
        1.02938,
        1.03213,
        1.03053,
        1.02946,
        1.03681,
        1.0317,
        1.0311,
        1.04319,
        1.03721,
        1.03852,
        1.04174,
        1.04248,
        1.03714,
        1.02979,
        1.03052,
        1.02892,
        1.03038,
        1.03291,
        1.03285,
        1.03373,
        1.03218,
        1.03284,
        1.02485,
        1.02242,
        1.03029,
        1.02295,
        1.02308,
        1.02198,
        1.02947,
        1.03738,
        1.02781,
        1.02874,
        1.03319,
        1.02874,
        1.03079,
        1.04406,
        1.04051,
        1.03145,
        1.03078,
        1.03233,
        1.04075,
        1.04124,
        1.03366,
        1.03979,
        1.03846,
        1.02672,
        1.02682,
        1.03085,
        1.03272,
        1.02965,
        1.02462,
        1.02937,
        1.03552,
        1.04239,
        1.03918,
        1.03219,
        1.03505,
        1.03498,
        1.03122,
        1.03018,
        1.0278,
        1.02825,
        1.02968,
        1.02891,
        1.02794,
        1.03164,
        1.03159,
        1.03361,
        1.0423,
        1.03833,
        1.03447,
        1.03696,
        1.04555,
        1.03369,
        1.03337,
        1.03191,
        1.02998,
        1.03019,
        1.02913,
        1.02938,
        1.03157,
        1.03327,
        1.03188,
        1.03681,
        1.04024,
        1.03833,
        1.03352,
        1.04096,
        1.03871,
        1.03768,
        1.0415,
        1.04293,
        1.03713,
        1.03234,
        1.03436,
        1.03531,
        1.03541,
        1.03956,
        1.04033,
        1.03054,
        1.02636,
        1.02512,
        1.03673,
        1.03759,
        1.03573,
        1.03849,
        1.04696,
        1.04757,
        1.04423,
        1.04116,
        1.03852,
        1.03932,
        1.04339,
        1.04327,
        1.0394,
        1.03673,
        1.04117,
        1.04135,
        1.03582,
        1.03235,
        1.03625,
        1.03714,
        1.03643,
        1.03987,
        1.03961,
        1.03791,
        1.0359,
        1.03473,
        1.03159,
        1.03156,
        1.03825,
        1.03854,
        1.02884,
        1.02666,
        1.03524,
        1.03579,
        1.03602,
        1.04343,
        1.0447,
        1.04153,
        1.04274,
        1.04797,
        1.04952,
        1.04811,
        1.04617,
        1.04848,
        1.04636,
        1.04428,
        1.0407,
        1.05135,
        1.05899,
        1.05432,
        1.04795,
        1.04896,
        1.0453,
        1.04928,
        1.04885,
        1.04961,
        1.05184,
        1.05537,
        1.05698,
        1.0561,
        1.05068,
        1.05166,
        1.06494,
        1.06762,
        1.09142,
        1.1226,
        1.15538,
        1.19775,
        1.22388,
        1.22401,
        1.192,
        1.07329,
        0.807378,
        0.473789,
        0.2348,
        0.15982,
        0.222857,
        0.418205,
        0.69562,
        0.919192,
        1.01053,
        1.03577,
        1.04526,
        1.0578,
        1.0587,
        1.06356,
        1.06066,
        1.06063,
        1.05888,
        1.03597,
        1.02622,
        1.03931,
        1.03706,
        1.03118,
        1.02199,
        1.02819,
        1.03461,
        1.04148,
        1.04468,
        1.03705,
        1.03766,
        1.04378,
        1.03668,
        1.03209,
        1.03011,
        1.0329,
        1.02744,
        1.03024,
        1.03433,
        1.03996,
        1.0382,
        1.0406,
        1.04599,
        1.03918,
        1.0374,
        1.0432,
        1.03344,
        1.03563,
        1.04116,
        1.03744,
        1.03493,
        1.03863,
        1.0383,
        1.03791,
        1.0402,
        1.03984,
        1.04012,
        1.04328,
        1.04492,
        1.04741,
        1.04918,
        1.04236,
        1.03512,
        1.03641,
        1.04291,
        1.03994,
        1.03973,
        1.03968,
        1.03733,
        1.03071,
        1.03156,
        1.03822,
        1.03348,
        1.02743,
        1.03237,
        1.03098,
        1.03624,
        1.03449,
        1.02915,
        1.03256,
        1.02807,
        1.0261,
        1.02525,
        1.03071,
        1.03879,
        1.04841,
        1.03875,
        1.03514,
        1.03493,
        1.03693,
        1.03494,
        1.03868,
        1.03599,
        1.03077,
        1.02489,
        1.03233,
        1.04193,
        1.0352,
        1.03487,
        1.03408,
        1.03078,
        1.03432,
        1.04313,
        1.04543,
        1.03222,
        1.02621,
        1.03417,
        1.03353,
        1.03669,
        1.03385,
        1.03679,
        1.04358,
        1.05578,
        1.05759,
        1.03646,
        1.01148,
        0.923151,
        0.741429,
        0.557559,
        0.534334,
        0.677499,
        0.860861,
        0.977793,
        1.01925,
        1.02241,
        1.01746,
        1.02034,
        1.01612,
        1.01713,
        1.03063,
        1.03556,
        1.02658,
        1.02145,
        1.02773,
        1.03029,
        1.0297,
        1.02805,
        1.01738,
        1.02503,
        1.02617,
        1.02857,
        1.02902,
        1.02324,
        1.01476,
        1.02697,
        1.03805,
        1.03426,
        1.02911,
        1.02903,
        1.03591,
        1.04223,
        1.03951,
        1.03863,
        1.04017,
        1.04118,
        1.04127,
        1.0367,
        1.02461,
        1.01921,
        1.04168,
        1.03258,
        1.01782,
        0.983635,
        0.941724,
        0.94744,
        0.970678,
        1.00077,
        1.02179,
        1.02944,
        1.03478,
        1.03238,
        1.03114,
        1.03321,
        1.03149,
        1.03865,
        1.04592,
        1.03706,
        1.0306,
        1.02847,
        1.034,
        1.04163,
        1.03054,
        1.02847,
        1.03148,
        1.03877,
        1.03691,
        1.0331,
        1.02321,
        1.03587,
        1.04709,
        1.04485,
        1.04077,
        1.03255,
        1.03028,
        1.02856,
        1.0277,
        1.03874,
        1.04742,
        1.04847,
        1.04101,
        1.03291,
        1.04041,
        1.03972,
        1.03679,
        1.03986,
        1.04033,
        1.04597,
        1.05864,
        1.05441,
        1.04613,
        1.04833,
        1.0462,
        1.0512,
        1.03487,
        1.04539,
        1.04457,
        1.03882,
        1.0383,
        1.04451,
        1.04111,
        1.03522,
        1.03992,
        1.03972,
        1.03387,
        1.04682,
        1.05022,
        1.04601,
        1.0465,
        1.0485,
        1.04663,
        1.0567,
        1.03811,
        1.02995,
        1.03638,
        1.03817,
        1.04271,
        1.04991,
        1.0413,
        1.02978,
        1.04243,
        1.04705,
        1.04472,
        1.04268,
        1.03918,
        1.04066,
        1.03957,
        1.04543,
        1.04762,
        1.0488,
        1.04515,
        1.03559,
        1.03839,
        1.03874,
        1.03975,
        1.03218,
        1.03074,
        1.035,
        1.03363,
        1.03438,
        1.03592,
        1.039,
        1.03823,
        1.0344,
        1.02795,
        1.02572,
        1.03752,
        1.03617,
        1.03348,
        1.02192,
        1.02589,
        1.02366,
        1.02333,
        1.03081,
        1.04361,
        1.04457,
        1.04062,
        1.03382,
        1.03122,
        1.02893,
        1.03544,
        1.0442,
        1.03901,
        1.02381,
        1.03564,
        1.03765,
        1.03516,
        1.02692,
        1.02688,
        1.02808,
        1.03541,
        1.03227,
        1.02296,
        null,
        1.01905,
        1.03659,
        1.03308,
        1.02928,
        1.02111,
        1.01922,
        1.02648,
        1.02253,
        1.0254,
        1.02762,
        1.02042,
        1.01566,
        1.02637,
        1.03367,
        1.0306,
        1.0362,
        1.03343,
        1.03591,
        1.03338,
        1.03822,
        1.03645,
        1.03002,
        1.02179,
        1.03205,
        1.03371,
        1.02855,
        1.02877,
        1.02654,
        1.0303,
        1.02644,
        1.0204,
        1.02192,
        1.03,
        1.03203,
        1.03629,
        1.03628,
        1.02446,
        1.02821,
        1.03419,
        1.03771,
        1.02705,
        1.0104,
        1.01555,
        1.01793,
        1.01876,
        1.02072,
        1.02418,
        1.02339,
        1.02325,
        1.01579,
        1.00663,
        1.00581,
        1.02607,
        1.02231,
        1.02904,
        1.03881,
        1.0358,
        1.03973,
        1.04276,
        1.04472,
        1.036,
        1.03814,
        1.03793,
        1.03734,
        1.03578,
        1.03295,
        1.02546,
        1.02348,
        1.02863,
        1.01893,
        1.01578,
        1.01731,
        1.02804,
        1.00547,
        1.00348,
        1.03034,
        1.02684,
        1.01457,
        1.00919,
        1.01609,
        1.02707,
        1.0281,
        1.02187,
        1.0281,
        1.02894,
        1.03164,
        1.03541,
        1.03142,
        1.02783,
        1.02261,
        1.02115,
        1.02251,
        1.02308,
        1.01348,
        1.016,
        1.00626,
        1.00136,
        0.998305,
        1.00788,
        1.02284,
        1.0287,
        1.02219,
        1.02015,
        1.02327,
        1.03316,
        1.02922,
        1.0208,
        1.02507,
        1.0244,
        1.01985,
        1.02517,
        1.02846,
        1.03209,
        1.03393,
        1.03177,
        1.02706,
        1.026,
        1.01509,
        1.01777,
        1.02636,
        1.02794,
        1.03588,
        1.03419,
        1.02825,
        1.01866,
        1.01936,
        1.03028,
        1.02348,
        1.01475,
        1.01754,
        1.02512,
        1.02592,
        1.01248,
        1.01251,
        1.03002,
        1.03131,
        1.02471,
        1.02355,
        1.02352,
        1.01942,
        1.02034,
        1.0217,
        1.01259,
        1.01453,
        1.02316,
        1.0242,
        1.02857,
        1.019,
        1.02295,
        1.01902,
        1.01805,
        1.01707,
        1.01238,
        1.01737,
        1.02119,
        1.02782,
        1.02439,
        1.02815,
        1.02642,
        1.02506,
        1.03287,
        1.02736,
        1.02396,
        1.03085,
        1.03352,
        1.02878,
        1.02163,
        1.02236,
        1.02973,
        1.03094,
        1.02272,
        1.0229,
        1.02777,
        1.03546,
        1.0283,
        1.03408,
        1.01555,
        1.00875,
        1.01629,
        1.02987,
        1.03544,
        1.0231,
        1.01967,
        1.02316,
        1.01397,
        1.01754,
        1.0153,
        1.01577,
        1.02624,
        1.0308,
        1.03504,
        1.03692,
        1.03552,
        1.02667,
        1.01983,
        1.02384,
        1.0241,
        1.02038,
        1.01722,
        1.01799,
        1.01887,
        1.01856,
        1.01119,
        1.02323,
        1.03806,
        1.04412,
        1.02985,
        1.02595,
        1.02548,
        1.01956,
        1.02976,
        1.03244,
        1.02756,
        1.02996,
        1.02805,
        1.03765,
        1.03394,
        1.03055,
        1.0305,
        1.03441,
        1.03195,
        1.01998,
        1.0275,
        1.02905,
        1.03339,
        1.03093,
        1.02507,
        1.01979,
        1.01537,
        1.02376,
        1.03068,
        1.02917,
        1.02188,
        1.02303,
        1.03461,
        1.03771,
        1.02688,
        1.00921,
        1.01964,
        1.02974,
        1.01812,
        1.01578,
        1.01816,
        1.01369,
        1.01729,
        1.02142,
        1.02614,
        1.03218,
        1.03363,
        1.02065,
        1.01957,
        1.03381,
        1.03364,
        1.02695,
        1.02413,
        1.0302,
        1.03284,
        1.02368,
        1.01392,
        1.01568,
        1.02778,
        1.03475,
        1.02919,
        1.02905,
        1.03322,
        1.02809,
        1.02461,
        1.03519,
        1.03728,
        1.04085,
        1.04001,
        1.04332,
        1.05596,
        1.07336,
        1.09456,
        1.07856,
        1.00853,
        0.82675,
        0.679225,
        0.732311,
        0.888273,
        0.922935,
        0.709947,
        0.391125,
        0.20045,
        0.150997,
        0.194766,
        0.367861,
        0.713889,
        0.961358,
        1.02695,
        1.02746,
        1.0195,
        1.01852,
        1.02257,
        1.015,
        1.02081,
        1.03656,
        1.0494,
        1.03645,
        1.03785,
        1.05231,
        1.0373,
        0.981622,
        0.971012,
        1.00593,
        1.01036,
        1.01186,
        1.01222,
        1.01371,
        1.01103,
        1.01426,
        1.02109,
        1.01617,
        1.00538,
        0.97102,
        0.934558,
        0.942338,
        0.976485,
        1.00528,
        1.01367,
        1.01197,
        1.01494,
        1.0213,
        1.02246,
        1.01319,
        1.01935,
        1.03059,
        1.03033,
        1.01797,
        1.01551,
        1.02152,
        1.0201,
        1.01998,
        1.01617,
        1.01278,
        1.01279,
        1.02437,
        1.02134,
        1.01823,
        1.01762,
        1.01601,
        1.02262,
        1.01358,
        1.00438,
        1.02046,
        1.01921,
        1.01731,
        1.02155,
        1.0168,
        1.01718,
        1.01505,
        1.00783,
        1.01167,
        1.02885,
        1.02095,
        1.01707,
        1.02355,
        1.01542,
        1.01218,
        1.01956,
        1.01864,
        1.01896,
        1.02194,
        1.02376,
        1.01861,
        1.03001,
        1.04663,
        1.02203,
        1.01787,
        1.02334,
        1.01599,
        1.0174,
        1.03107,
        1.0186,
        1.01462,
        1.02298,
        1.02912,
        1.02652,
        1.02379,
        1.03029,
        1.0191,
        1.02529,
        1.02536,
        1.02475,
        1.0276,
        1.02886,
        1.02311,
        1.02564,
        1.01959,
        1.0137,
        1.01152,
        1.02499,
        1.02745,
        1.02062,
        1.02795,
        1.02476,
        1.01725,
        1.0172,
        1.02087,
        1.02224,
        1.02608,
        1.02816,
        1.02245,
        1.02641,
        1.02222,
        1.01382,
        1.01245,
        1.00905,
        1.01149,
        1.0175,
        1.01814,
        1.01217,
        1.02449,
        1.02725,
        1.02147,
        1.02452,
        1.02289,
        1.03728,
        1.02516,
        1.01992,
        1.03455,
        1.03487,
        1.01978,
        1.02114,
        1.02734,
        1.03357,
        1.03273,
        1.03037,
        1.02764,
        1.02427,
        1.0202,
        1.01932,
        1.02092,
        1.02226,
        1.01785,
        1.0205,
        1.02978,
        1.03004,
        1.02671,
        1.02248,
        1.01963,
        1.02287,
        1.01411,
        1.02348,
        1.03702,
        1.02836,
        1.02549,
        1.02367,
        1.01863,
        1.0258,
        1.02458,
        1.01756,
        1.02661,
        1.02413,
        1.02286,
        1.0215,
        1.01557,
        1.02199,
        1.02661,
        1.03006,
        1.02547,
        1.01174,
        1.01494,
        1.00717,
        1.01351,
        1.02597,
        1.02444,
        1.02583,
        1.02179,
        1.02612,
        1.02561,
        1.0181,
        1.01113,
        1.01596,
        1.02414,
        0.981704,
        0.720209,
        0.57887,
        1.01794,
        0.9631,
        1.09355,
        1.05033,
        1.01396,
        1.00555,
        1.02293,
        1.02238,
        1.02538,
        1.02837,
        1.03036,
        1.02703,
        1.02193,
        1.02619,
        1.01907,
        1.00803,
        1.02074,
        1.00509,
        0.99915,
        1.00635,
        1.01998,
        1.01316,
        1.02254,
        1.01844,
        1.022,
        1.01644,
        1.01792,
        1.01309,
        1.00511,
        1.00108,
        1.00202,
        1.01031,
        1.01452,
        1.0223,
        1.02128,
        1.01856,
        1.00451,
        1.00288,
        1.00987,
        1.01371,
        1.02315,
        1.01288,
        1.01972,
        1.02058,
        1.02162,
        1.01729,
        1.01888,
        1.02377,
        1.02216,
        1.02281,
        1.02582,
        1.02167,
        1.01857,
        1.02464,
        1.02542,
        1.02562,
        1.01651,
        1.01567,
        1.02886,
        1.03216,
        1.02734,
        1.03179,
        1.0179,
        1.0179,
        1.01789,
        1.00772,
        1.02037,
        1.02376,
        1.03004,
        1.01749,
        1.01331,
        1.02433,
        1.02019,
        1.02385,
        1.02536,
        1.01047,
        1.00815,
        1.01207,
        1.01037,
        1.02195,
        1.0315,
        1.02393,
        1.02598,
        1.02322,
        1.00938,
        1.00859,
        1.01628,
        1.03144,
        1.03181,
        1.02489,
        1.02714,
        1.02541,
        1.01509,
        1.01728,
        1.02454,
        1.02493,
        1.02258,
        1.01373,
        1.01252,
        1.01715,
        1.02704,
        1.02598,
        1.02723,
        1.03074,
        1.02569,
        1.02043,
        1.02461,
        1.02041,
        1.01917,
        1.02275,
        1.02092,
        1.0091,
        1.01771,
        1.0167,
        1.00268,
        1.01975,
        1.02741,
        1.02783,
        1.02184,
        1.01666,
        1.02593,
        1.03141,
        1.04394,
        1.03255,
        1.0185,
        1.02541,
        1.05952,
        1.05366,
        1.04766,
        1.07641,
        1.09267,
        1.05779,
        1.0141,
        1.01268,
        1.03972,
        1.03479,
        1.01607,
        1.01297,
        1.01637,
        1.03106,
        1.02632,
        1.02147,
        1.02795,
        1.02524,
        1.01599,
        1.02725,
        1.02542,
        1.02234,
        1.02835,
        1.02224,
        1.01322,
        1.00297,
        1.01036,
        1.01804,
        1.01948,
        1.02227,
        1.02126,
        1.02652,
        1.02513,
        1.01706,
        1.01357,
        1.01806,
        1.01637,
        1.01688,
        1.01857,
        1.01159,
        1.01842,
        1.02879,
        1.02136,
        1.01678,
        1.01489,
        1.01722,
        1.00836,
        1.01787,
        1.02301,
        1.02366,
        1.02934,
        1.02168,
        1.01869,
        1.0332,
        1.02567,
        1.0224,
        0.995828,
        0.924582,
        0.778698,
        0.659826,
        0.687667,
        0.82203,
        0.921561,
        0.963934,
        1.00082,
        1.01652,
        1.01557,
        1.02334,
        1.01882,
        1.02164,
        1.02214,
        1.01558,
        1.00714,
        1.02476,
        1.03117,
        1.02694,
        1.0193,
        1.01929,
        1.0217,
        1.01689,
        1.01587,
        1.01995,
        1.02597,
        1.02704,
        1.01908,
        1.02036,
        1.01756,
        1.01406,
        1.00992,
        1.01916,
        1.01889,
        1.01934,
        1.03451,
        1.02719,
        1.027,
        1.02715,
        1.02012,
        1.02389,
        1.00627,
        0.963667,
        0.947927,
        0.960721,
        0.986228,
        1.00715,
        1.02324,
        1.03184,
        1.0349,
        1.03204,
        1.02756,
        1.01804,
        1.02818,
        1.0405,
        1.03825,
        1.0267,
        1.03686,
        1.04064,
        1.03912,
        1.03955,
        1.03731,
        1.04838,
        1.06892,
        1.09903,
        1.15076,
        1.19031,
        1.2115,
        1.21735,
        1.18116,
        1.05819,
        0.806543,
        0.49171,
        0.254113,
        0.17384,
        0.233016,
        0.424887,
        0.698313,
        0.915235,
        1.00745,
        1.02205,
        1.0207,
        1.01342,
        1.03106,
        1.04544,
        1.05409,
        1.05704,
        1.0437,
        1.06144,
        1.05815,
        0.99479,
        1.02125,
        1.01334,
        0.99706,
        1.00835,
        0.978243,
        0.999261,
        1.02552,
        1.01987,
        1.00235,
        1.01397,
        1.02816,
        1.0263,
        1.01876,
        1.01971,
        1.01435,
        1.01322,
        1.0209,
        1.01971,
        1.02892,
        1.03154,
        1.02557,
        1.03152,
        1.01584,
        1.01043,
        1.02122,
        1.01975,
        1.02231,
        1.02138,
        1.02135,
        1.02947,
        1.0204,
        1.026,
        1.02372,
        1.0183,
        1.02165,
        1.01901,
        1.01729,
        1.02051,
        1.02677,
        1.02667,
        1.02429,
        1.02273,
        1.0247,
        1.02859,
        1.01609,
        1.00799,
        1.01322,
        1.01407,
        1.00795,
        1.00949,
        1.0279,
        1.02391,
        1.01552,
        1.01733,
        1.00189,
        1.00207,
        1.01442,
        1.02143,
        1.02074,
        1.0123,
        1.01354,
        1.01401,
        1.02202,
        1.01964,
        1.01561,
        1.01761,
        1.01925,
        1.01693,
        1.01648,
        0.98828,
        1.01239,
        1.01514,
        1.01695,
        1.01653,
        1.01818,
        1.02001,
        1.00606,
        1.00174,
        1.02683,
        1.01698,
        1.01892,
        1.01156,
        1.01855,
        1.01814,
        1.02412,
        1.03011,
        1.03288,
        1.02701,
        1.02055,
        1.02197,
        1.02971,
        1.01539,
        1.0069,
        1.02834,
        1.03775,
        1.02128,
        1.02117,
        1.02574,
        1.02395,
        1.03159,
        1.02225,
        1.026,
        1.01866,
        1.02081,
        1.02668,
        1.02427,
        1.02154,
        1.02089,
        1.01122,
        1.00887,
        1.03845,
        1.0448,
        1.03098,
        1.02293,
        1.02306,
        1.02591,
        1.02972,
        1.02905,
        1.02358,
        1.03011,
        1.03291,
        1.02336,
        1.01933,
        1.02091,
        1.02209,
        1.02452,
        1.0273,
        1.01653,
        1.01258,
        1.02858,
        1.00505,
        1.0132,
        1.0208,
        1.02385,
        1.02127,
        1.01594,
        1.0174,
        1.02176,
        1.02408,
        1.01726,
        1.02282,
        1.02188,
        1.04129,
        1.0488,
        1.03876,
        1.0272,
        1.02177,
        1.02564,
        1.02087,
        1.03553,
        1.03169,
        1.01971,
        1.02405,
        1.02172,
        1.02544,
        1.02302,
        1.00617,
        1.00951,
        1.01839,
        1.01874,
        1.01625,
        1.02115,
        1.01495,
        1.01484,
        1.00264,
        1.01131,
        1.01453,
        1.0331,
        1.03947,
        0.989021,
        1.0416,
        1.03593,
        1.00291,
        0.992745,
        0.987239,
        0.995676,
        0.995252,
        0.986103,
        0.995645,
        0.996205,
        0.993738,
        0.988997,
        0.994016,
        1.00806,
        1.00193,
        1.00662,
        0.999472,
        0.988616,
        0.995595,
        0.999166,
        0.980157,
        0.981685,
        0.990286,
        0.99036,
        1.00026,
        0.996828,
        null,
        1.0258,
        1.02972,
        1.03365,
        1.03757,
        1.02896,
        1.02575,
        1.03319,
        1.03269,
        1.02158,
        1.0196,
        1.02636,
        1.02056,
        1.02271,
        1.02852,
        1.0475,
        1.05561,
        1.03929,
        1.02675,
        1.01643,
        1.01096,
        1.01298,
        1.02091,
        1.0349,
        1.04767,
        1.04852,
        1.02076,
        1.00758,
        1.01919,
        1.02954,
        1.01811,
        1.00799,
        1.00353,
        1.00484,
        1.00987,
        1.01203,
        1.00924,
        1.00443,
        1.00559,
        1.01203,
        1.01688,
        1.01221,
        0.998957,
        0.988806,
        1.00088,
        1.00807,
        1.00539,
        1.00327,
        1.00497,
        1.014,
        1.01797,
        1.01061,
        0.998793,
        0.991347,
        0.98452,
        1.00001,
        1.00522,
        1.01154,
        1.00721,
        1.00602,
        1.01063,
        1.00462,
        1.00163,
        1.00539,
        1.00532,
        0.992316,
        1.00796,
        0.999638,
        0.991331,
        0.993147,
        0.997627,
        0.990407,
        0.991295,
        1.00236,
        1.00297,
        1.00163,
        0.99158,
        0.99099,
        1.00191,
        0.999655,
        0.996843,
        1.00322,
        1.00096,
        1.00554,
        1.01492,
        1.01428,
        1.0044,
        0.999583,
        1.00068,
        0.990699,
        0.967757,
        0.956758,
        0.969951,
        0.986496,
        1.02138,
        1.02325,
        1.00847,
        1.00793,
        1.01531,
        1.02529,
        1.02973,
        1.00843,
        0.996536,
        1.00868,
        1.0009,
        1.00187,
        1.01249,
        1.01015,
        1.00475,
        1.00048,
        1.00974,
        1.01503,
        1.01228,
        1.01059,
        1.00606,
        1.00937,
        1.00909,
        1.0172,
        1.00217,
        0.998452,
        1.00563,
        1.00368,
        1.00955,
        1.01582,
        1.01567,
        1.01733,
        1.01999,
        1.01541,
        1.01364,
        1.01097,
        1.0197,
        1.02436,
        1.02209,
        1.01127,
        1.00461,
        1.01531,
        1.01162,
        1.01071,
        1.0132,
        1.00798,
        1.00766,
        1.00929,
        1.00807,
        1.01264,
        1.01547,
        1.00977,
        1.00051,
        1.00589,
        1.00594,
        1.01627,
        1.02374,
        1.02212,
        1.02022,
        1.02132,
        1.02039,
        1.01182,
        1.01264,
        1.00604,
        1.0087,
        1.01567,
        1.02053,
        1.0251,
        1.02618,
        1.01216,
        1.02203,
        1.03557,
        1.01774,
        1.00641,
        1.01708,
        1.0216,
        1.0365,
        1.03549,
        1.03449,
        1.04055,
        1.04713,
        1.04932,
        1.05188,
        1.0452,
        1.03481,
        1.04317,
        1.06254,
        1.06292,
        1.077,
        1.13253,
        1.19473,
        1.20752,
        1.21673,
        1.22487,
        1.15125,
        0.934947,
        0.571763,
        0.273065,
        0.172839,
        0.231342,
        0.419252,
        0.694149,
        0.900177,
        1.00865,
        1.03398,
        1.01607,
        1.03034,
        1.04169,
        1.04944,
        1.04662,
        1.04516,
        1.04576,
        1.04385,
        1.04314,
        1.04602,
        0.985254,
        0.989012,
        0.993212,
        1.00425,
        0.996786,
        0.980453,
        0.99091,
        0.987613,
        1.00509,
        1.00447,
        0.996705,
        1.00081,
        0.996286,
        0.992056,
        0.993887,
        0.996409,
        0.998869,
        1.00558,
        1.01251,
        1.00822,
        1.00311,
        1.02906,
        1.01391,
        0.995482,
        0.993031,
        0.992529,
        0.996619,
        1.00536,
        1.01204,
        1.01106,
        1.01375,
        1.02255,
        1.01365,
        1.01273,
        1.00615,
        1.03043,
        1.01912,
        1.02165,
        1.01198,
        1.02096,
        1.02341,
        1.01156,
        1.00343,
        1.00696,
        1.01288,
        1.01899,
        1.03071,
        1.03433,
        1.01604,
        1.04841,
        1.02007,
        1.00792,
        1.00902,
        1.00088,
        1.00351,
        1.00211,
        1.00675,
        1.01082,
        1.00272,
        1.00288,
        1.00804,
        1.01447,
        0.995267,
        0.99578,
        0.994818,
        0.989101,
        0.998403,
        1.00184,
        1.00487,
        1.0063,
        1.01096,
        1.01714,
        1.01768,
        1.01155,
        1.00758,
        1.02714,
        1.01006,
        1.01015,
        1.01281,
        1.02355,
        1.0203,
        1.03217,
        1.0149,
        0.983107,
        0.998452,
        1.02631,
        1.0147,
        0.998129,
        0.999873,
        1.00463,
        1.00346,
        0.987617,
        1.00286,
        0.999462,
        0.996697,
        0.999189,
        1.00049,
        1.00258,
        1.01705,
        1.02309,
        1.01331,
        1.01045,
        1.00918,
        1.00769,
        1.01777,
        1.00986,
        1.00078,
        1.01306,
        1.02832,
        1.01984,
        0.994441,
        1.00226,
        1.01181,
        1.01976,
        1.03103,
        1.03807,
        1.04686,
        1.03492,
        1.04107,
        1.02511,
        1.01386,
        1.01481,
        1.02241,
        1.01902,
        1.00883,
        1.00843,
        1.02443,
        1.04247,
        1.02893,
        0.995381,
        0.989582,
        1.00341,
        1.02013,
        1.02196,
        1.02832,
        1.04088,
        1.0325,
        0.997023,
        1.03056,
        1.04502,
        1.03204,
        1.01974,
        1.0253,
        1.0375,
        1.03962,
        1.03424,
        1.01493,
        1.0032,
        1.00744,
        1.01284,
        1.01008,
        0.99451,
        0.99694,
        1.00488,
        1.02353,
        1.0129,
        1.02804,
        1.0323,
        1.01684,
        1.0142,
        1.01072,
        1.00662,
        0.998746,
        1.01184,
        1.02474,
        1.02207,
        1.02762,
        1.03534,
        1.02638,
        1.03065,
        1.01782,
        1.00504,
        1.00947,
        1.02054,
        1.01978,
        1.02523,
        1.02716,
        1.01383,
        1.00537,
        1.01893,
        1.02452,
        1.00959,
        1.01617,
        1.01853,
        1.01053,
        1.04185,
        1.04662,
        1.03119,
        1.04894,
        1.06253,
        1.02157,
        1.00774,
        1.01952,
        1.0232,
        1.01474,
        1.00534,
        1.00754,
        1.02387,
        1.02418,
        1.00557,
        0.999653,
        1.01266,
        1.00991,
        1.00935,
        1.00917,
        1.00959,
        1.01297,
        1.0088,
        1.00783,
        1.01306,
        1.02345,
        1.0298,
        1.01258,
        1.01475,
        1.02267,
        1.00219,
        0.995693,
        1.01709,
        1.01194,
        0.986274,
        1.00493,
        1.01085,
        1.00608,
        0.992911,
        0.988942,
        1.00356,
        1.01253,
        1.00953,
        1.00529,
        0.972208,
        0.876629,
        0.701462,
        0.651394,
        0.761014,
        0.887495,
        0.957665,
        0.988372,
        0.994096,
        0.994566,
        0.995487,
        0.994069,
        0.993703,
        0.997111,
        1.00282,
        1.0064,
        0.995761,
        0.998408,
        1.00087,
        0.997083,
        0.986692,
        0.978525,
        0.986627,
        0.999681,
        0.997491,
        0.991932,
        0.992906,
        0.991559,
        0.991633,
        1.00366,
        1.0114,
        1.01373,
        0.998991,
        0.975808,
        0.9914,
        0.997304,
        0.999534,
        0.996826,
        0.998411,
        0.99625,
        1.00511,
        1.02057,
        1.02005,
        1.00803,
        1.00828,
        1.01609,
        0.987956,
        1.00953,
        1.01515,
        1.00495,
        0.995746,
        1.00124,
        0.999,
        0.994672,
        0.995975,
        0.99641,
        0.999052,
        0.995035,
        0.988367,
        0.996642,
        1.00009,
        1.00065,
        1.00922,
        0.993095,
        1.00927,
        1.01107,
        0.99872,
        0.994725,
        1.00007,
        0.991812,
        0.995297,
        1.007,
        1.00717,
        1.0029,
        1.00546,
        1.00399,
        0.990462,
        0.999009,
        1.01044,
        1.00446,
        0.998512,
        0.999943,
        1.00138,
        1.00021,
        1.01179,
        0.999147,
        1.00133,
        1.00392,
        0.993642,
        0.98973,
        0.985381,
        0.992123,
        1.00805,
        1.00635,
        0.994903,
        0.996865,
        0.996488,
        1.00708,
        1.00214,
        1.02453,
        0.985145,
        1.01461,
        1.0301,
        0.997536,
        1.01544,
        1.0118,
        0.998251,
        1.00377,
        1.00423,
        0.993853,
        0.992118,
        0.993885,
        1.0059,
        1.00596,
        0.993224,
        1.00132,
        1.01426,
        1.00592,
        1.00523,
        1.0107,
        1.00687,
        1.00937,
        1.00707,
        1.00755,
        1.01079,
        1.00225,
        0.993143,
        0.999179,
        1.00566,
        1.02584,
        1.01311,
        0.985121,
        1.00572,
        1.01554,
        1.01185,
        0.992783,
        1.00094,
        1.01226,
        1.00525,
        0.993601,
        0.995318,
        1.00605,
        1.01463,
        1.02108,
        1.02012,
        1.00757,
        1.01082,
        1.02688,
        1.0032,
        1.00993,
        1.01074,
        1.00305,
        1.01053,
        1.00959,
        1.00652,
        1.00977,
        1.01737,
        1.01568,
        1.00255,
        1.0015,
        1.01199,
        1.00044,
        1.0049,
        1.0017,
        1.01957,
        1.00051,
        1.00658,
        1.01864,
        1.01921,
        1.01283,
        1.0084,
        1.01193,
        1.01433,
        1.01589,
        1.02092,
        1.02097,
        1.0162,
        1.02186,
        1.03446,
        1.02935,
        1.02511,
        1.02469,
        1.02804,
        1.0347,
        1.0741,
        1.12282,
        1.16889,
        1.19796,
        1.21631,
        1.21619,
        1.16138,
        1.0001,
        0.709373,
        0.376948,
        0.199262,
        0.193031,
        0.285729,
        0.519376,
        0.83832,
        0.957666,
        0.997682,
        1.01398,
        1.03914,
        1.03752,
        1.06636,
        1.06086,
        1.04286,
        1.05007,
        1.04096,
        1.02955,
        1.02122,
        1.03669,
        1.03601,
        1.01669,
        0.990066,
        0.959215,
        0.973235,
        0.986945,
        1.00054,
        1.02016,
        1.00194,
        1.00566,
        1.01539,
        1.02189,
        1.00712,
        1.00563,
        1.01532,
        1.02515,
        1.0179,
        1.02328,
        1.03228,
        1.01278,
        0.996745,
        1.00824,
        1.03088,
        1.03233,
        1.01216,
        1.02153,
        1.02538,
        1.00362,
        1.03718,
        1.02624,
        1.03286,
        1.0205,
        1.05179,
        1.07603,
        1.06556,
        null,
        1.02771,
        1.00793,
        1.06945,
        1.05137,
        1.0682,
        1.07863,
        1.08931,
        1.04921,
        1.04442,
        1.053,
        1.05636,
        1.04774,
        1.04986,
        1.02727,
        1.02385,
        1.02899,
        1.01696,
        1.01117,
        1.01555,
        0.990418,
        1.00727,
        1.0032,
        0.997492,
        1.00065,
        1.02984,
        1.01397,
        1.00975,
        0.993841,
        0.98681,
        0.998408,
        1.00868,
        1.01017,
        1.00598,
        1.00957,
        1.03212,
        1.02488,
        1.01835,
        1.02958,
        1.00315,
        0.994883,
        0.989548,
        1.00101,
        0.998028,
        1.01332,
        1.01805,
        1.01945,
        1.00588,
        0.999324,
        0.999334,
        0.994442,
        0.991742,
        0.996072,
        1.00146,
        0.997081,
        1.00324,
        1.0046,
        1.00236,
        0.991718,
        1.00429,
        1.00924,
        1.00564,
        0.990526,
        1.00006,
        1.00449,
        1.00397,
        1.0159,
        1.01211,
        0.999838,
        0.994105,
        0.986628,
        0.994983,
        1.00035,
        1.00275,
        1.00875,
        1.00379,
        1.00341,
        0.999979,
        1.00406,
        1.00068,
        1.0085,
        1.01158,
        0.999637,
        0.992779,
        0.996679,
        1.0049,
        1.00382,
        0.999964,
        1.00569,
        1.0068,
        1.0014,
        1.00651,
        1.00517,
        1.01422,
        1.02359,
        1.00967,
        0.982659,
        0.908754,
        0.726021,
        0.593892,
        0.64093,
        0.774303,
        0.890215,
        0.959313,
        0.988195,
        1.0019,
        1.00191,
        0.993622,
        0.995173,
        0.984386,
        0.990976,
        0.982455,
        0.996629,
        1.00837,
        1.00823,
        0.997219,
        1.01087,
        1.00777,
        1.01824,
        1.00481,
        0.978019,
        0.976504,
        0.986901,
        0.973212,
        0.952117,
        0.95456,
        0.975838,
        0.988084,
        0.97869,
        0.99045,
        0.982442,
        0.956592,
        0.97786,
        0.986244,
        0.972931,
        0.975998,
        0.988025,
        0.986056,
        0.983483,
        0.984099,
        0.982731,
        0.976966,
        0.981237,
        0.995902,
        0.994261,
        0.986913,
        0.991377,
        0.983327,
        0.994804,
        1.02098,
        1.01724,
        1.01167,
        0.985418,
        1.00178,
        0.997034,
        0.997637,
        1.00978,
        1.00534,
        1.015,
        1.02333,
        1.0092,
        0.992037,
        0.988445,
        0.988929,
        0.985593,
        0.998064,
        0.995116,
        0.993654,
        0.996787,
        0.998132,
        0.985338,
        0.984487,
        0.989721,
        0.994004,
        1.00588,
        1.00283,
        0.995829,
        0.985213,
        0.98819,
        1.00054,
        1.00244,
        0.998519,
        0.99618,
        0.989836,
        0.988744,
        0.992796,
        0.998939,
        1.00113,
        1.0015,
        1.0049,
        0.996403,
        0.995981,
        0.993079,
        1.00202,
        1.01075,
        0.996005,
        0.992969,
        0.991705,
        0.989248,
        0.988692,
        0.988263,
        0.984101,
        0.97809,
        0.980252,
        0.98275,
        0.993862,
        0.988178,
        0.987469,
        0.998042,
        0.99916,
        0.992451,
        1.00097,
        1.00161,
        0.992853,
        0.989504,
        0.995191,
        0.998082,
        0.994962,
        0.987264,
        0.987852,
        0.993302,
        0.998514,
        1.00762,
        1.00411,
        0.99506,
        1.00515,
        1.01944,
        1.00253,
        1.0228,
        1.01224,
        0.978217,
        0.987682,
        0.993532,
        0.992085,
        0.98579,
        0.980529,
        0.979507,
        0.989846,
        1.00097,
        1.00252,
        0.994981,
        0.993837,
        1.00101,
        0.993204,
        0.986326,
        1.00214,
        1.00844,
        1.00037,
        0.986325,
        0.980275,
        1.00151,
        1.0202,
        1.02646,
        1.02412,
        1.01483,
        1.07438,
        1.06877,
        1.04584,
        1.01782,
        1.00676,
        1.0061,
        1.01017,
        1.03083,
        1.03211,
        1.00828,
        1.01312,
        1.02245,
        1.00529,
        1.00589,
        0.992027,
        1.01137,
        0.996847,
        null,
        0.990229,
        0.9859,
        0.981571,
        0.979606,
        0.983414,
        0.982496,
        0.975854,
        0.98103,
        0.992422,
        0.994048,
        0.985063,
        0.987653,
        0.986382,
        0.986795,
        0.986831,
        0.988889,
        0.993564,
        0.983471,
        0.995251,
        1.00583,
        0.986606,
        0.987358,
        0.98189,
        0.978255,
        0.98089,
        0.983374,
        0.990427,
        0.988642,
        0.982713,
        0.982737,
        0.983728,
        0.982152,
        0.984455,
        0.993591,
        0.996724,
        0.987418,
        0.986275,
        0.996404,
        0.996583,
        0.979394,
        0.984913,
        0.98115,
        0.975779,
        0.952243,
        0.991268,
        1.00275,
        0.986042,
        0.975443,
        0.984185,
        0.984654,
        0.986795,
        0.986722,
        0.981105,
        0.984278,
        0.988869,
        0.988568,
        0.985042,
        0.977999,
        0.970664,
        0.964737,
        0.968483,
        0.973947,
        0.963397,
        0.96299,
        0.987318,
        1.0024,
        0.989273,
        0.976923,
        0.99386,
        0.985422,
        0.987277,
        0.970409,
        0.970748,
        0.98202,
        0.980176,
        0.981568,
        0.975637,
        0.965175,
        0.966657,
        0.980563,
        0.988938,
        0.986202,
        0.98398,
        0.983804,
        0.983059,
        0.986182,
        0.992236,
        1.00114,
        0.996501,
        0.996687,
        0.995378,
        0.969189,
        0.97796,
        0.977303,
        0.987655,
        0.982034,
        0.976189,
        0.997342,
        0.98049,
        0.977002,
        0.972893,
        0.972113,
        0.973074,
        0.984725,
        0.983651,
        0.980525,
        0.977688,
        0.974273,
        0.971524,
        0.99265,
        0.980346,
        0.979442,
        0.974601,
        0.961918,
        0.976249,
        0.976321,
        0.979488,
        0.981815,
        0.976982,
        0.980273,
        0.981684,
        0.97529,
        0.98886,
        0.989511,
        0.9875,
        0.973199,
        0.97822,
        0.986891,
        0.990641,
        0.98606,
        0.98351,
        0.980728,
        0.978378,
        0.980213,
        0.973327,
        0.96868,
        0.977921,
        0.980913,
        0.972826,
        0.9722,
        0.981568,
        0.98098,
        0.982594,
        0.98469,
        0.993586,
        1.0035,
        1.01691,
        0.989749,
        0.976929,
        0.996711,
        0.982413,
        0.981292,
        0.983068,
        0.986778,
        0.69549,
        0.916274,
        0.989907,
        0.989149,
        0.975477,
        0.979389,
        0.979176,
        0.971242,
        0.971889,
        0.976151,
        0.980011,
        0.987827,
        0.993289,
        0.988207,
        0.988193,
        0.997095,
        0.995485,
        0.994378,
        0.987897,
        0.990042,
        0.995939,
        1.0107,
        0.996386,
        0.986947,
        0.996099,
        0.99469,
        0.978572,
        0.972772,
        0.99723,
        0.992288,
        0.994852,
        1.0012,
        0.998398,
        0.99375,
        0.991628,
        0.986239,
        1.00121,
        0.995613,
        0.974905,
        0.98998,
        1.00509,
        0.999447,
        0.992059,
        0.991037,
        0.992423,
        0.990314,
        0.989243,
        0.987748,
        0.984721,
        0.991829,
        0.995853,
        0.98381,
        0.974418,
        0.998797,
        1.02179,
        1.01295,
        0.995526,
        0.996051,
        0.989274,
        1.00846,
        1.00071,
        0.99669,
        1.00049,
        0.985512,
        0.989415,
        1.00166,
        0.997436,
        1.0183,
        1.03273,
        1.0154,
        1.00116,
        0.989133,
        0.987993,
        0.99669,
        1.00144,
        1.00379,
        1.0015,
        1.01011,
        1.02634,
        1.03527,
        1.047,
        1.0258,
        1.05198,
        1.1073,
        1.14057,
        1.18246,
        1.18926,
        1.16196,
        1.07202,
        0.870495,
        0.565229,
        0.33151,
        0.233217,
        0.299752,
        0.499174,
        0.738031,
        0.911975,
        0.977646,
        0.997387,
        1.00123,
        0.99988,
        0.996563,
        1.00799,
        1.02523,
        1.03632,
        1.04507,
        1.03976,
        1.03403,
        1.03495,
        1.01876,
        0.997018,
        0.999518,
        0.998383,
        0.980202,
        0.976986,
        1.0254,
        1.01921,
        1.01255,
        1.04656,
        1.05212,
        1.06924,
        1.0765,
        1.03124,
        1.06593,
        1.03281,
        1.0027,
        1.01165,
        1.01937,
        1.01269,
        1.00633,
        1.01894,
        1.02485,
        1.01445,
        1.00809,
        1.01331,
        1.00945,
        0.997116,
        1.00294,
        1.00762,
        1.0167,
        1.02268,
        1.01417,
        0.993933,
        0.980746,
        0.992017,
        0.989767,
        1.00779,
        1.01703,
        0.997621,
        0.990752,
        0.997821,
        0.991155,
        0.991982,
        0.998405,
        0.999196,
        0.999892,
        0.993616,
        0.993794,
        0.996735,
        1.00276,
        0.99972,
        0.992582,
        0.99912,
        1.01915,
        1.02107,
        1.01429,
        1.01536,
        1.00416,
        0.996846,
        1.00855,
        1.02523,
        1.03549,
        1.02096,
        1.01072,
        0.980586,
        0.872225,
        0.702895,
        0.578453,
        0.604536,
        0.75408,
        0.890908,
        0.968229,
        1.00417,
        1.00355,
        0.996013,
        1.0035,
        1.00106,
        1.00787,
        0.98957,
        0.979172,
        0.996516,
        0.954907,
        0.923213,
        0.940476,
        0.975061,
        0.985679,
        0.98639,
        0.99968,
        1.00272,
        0.985457,
        0.971171,
        0.963525,
        0.970507,
        0.98439,
        0.983859,
        0.981581,
        0.978794,
        0.977554,
        0.996164,
        1.00332,
        0.99054,
        0.987923,
        0.996523,
        0.987786,
        1.00088,
        1.00605,
        1.00793,
        0.99934,
        0.990663,
        0.966932,
        0.980354,
        1.00421,
        1.00481,
        1.00664,
        1.00001,
        0.99444,
        1.00623,
        0.991866,
        0.987262,
        0.989925,
        0.990996,
        0.991304,
        0.986958,
        0.991055,
        0.998504,
        0.99368,
        0.992141,
        1.03807,
        0.99078,
        1.01576,
        1.01118,
        0.976224,
        0.996649,
        1.00993,
        1.00343,
        0.990031,
        0.986463,
        0.982394,
        1.0018,
        1.00333,
        0.999455,
        0.982395,
        0.985668,
        0.992368,
        0.998857,
        0.991554,
        1.00199,
        1.01843,
        0.994175,
        0.981863,
        0.985722,
        0.990451,
        0.996058,
        1.00096,
        1.00807,
        0.996849,
        1.00085,
        1.00488,
        1.00329,
        1.00373,
        1.00593,
        0.999011,
        0.996701,
        0.995615,
        0.985368,
        0.976522,
        0.977402,
        0.986649,
        0.993385,
        0.987288,
        0.979493,
        0.980074,
        0.98594,
        0.998916,
        0.995165,
        0.982498,
        0.979673,
        0.990451,
        0.978318,
        0.970344,
        0.988004,
        0.991162,
        0.967994,
        0.978835,
        0.986991,
        0.99082,
        0.977426,
        0.96813,
        0.990563,
        0.99812,
        0.984317,
        0.989621,
        0.994361,
        0.995426,
        0.9796,
        0.978221,
        0.98297,
        0.986796,
        0.993631,
        0.975807,
        0.972916,
        0.992226,
        0.989087,
        0.980417,
        0.980862,
        0.985153,
        0.989953,
        0.996215,
        0.992425,
        0.985207,
        0.979006,
        0.978247,
        0.990809,
        0.997918,
        0.99266,
        0.983002,
        0.981136,
        0.99152,
        0.987102,
        0.984365,
        0.985383,
        0.975815,
        0.996476,
        0.992567,
        0.988596,
        0.994626,
        0.997144,
        0.97746,
        0.986409,
        1.01721,
        1.00796,
        0.991696,
        0.981574,
        0.975599,
        0.976774,
        0.985564,
        0.987552,
        0.983484,
        0.977537,
        0.982095,
        0.982995,
        0.987575,
        0.989238,
        0.994536,
        0.999403,
        1.00427,
        1.00079,
        0.991315,
        0.991944,
        0.995152,
        0.994229,
        0.993095,
        0.99658,
        0.992725,
        0.982096,
        0.986081,
        0.988785,
        0.991636,
        0.986879,
        0.989585,
        0.99917,
        0.999984,
        0.993689,
        0.983792,
        0.990478,
        0.987278,
        1.00109,
        0.978181,
        0.990701,
        1.00271,
        1.01666,
        0.987013,
        0.994213,
        0.995352,
        0.985744,
        0.965008,
        0.977912,
        0.989249,
        0.99652,
        1.00616,
        1.0083,
        1.01226,
        0.987172,
        1.00188,
        1.00308,
        1.00181,
        1.00758,
        1.00976,
        1.01969,
        1.00045,
        0.992708,
        1.00107,
        0.983424,
        0.969724,
        0.954676,
        1.00593,
        1.02514,
        1.00831,
        0.983051,
        0.966996,
        0.967667,
        0.983718,
        0.988974,
        1.0011,
        0.98496,
        0.96043,
        0.9736,
        0.995303,
        0.994723,
        0.966735,
        0.9745,
        0.989033,
        0.99715,
        0.982938,
        0.98877,
        0.990686,
        0.992401,
        1.00014,
        1.00532,
        0.995941,
        1.01589,
        0.996848,
        0.999981,
        1.01034,
        1.02804,
        0.993893,
        1.02551,
        1.01184,
        1.01591,
        0.971428,
        0.984158,
        0.988315,
        0.995655,
        0.971974,
        0.977552,
        1.01188,
        0.985706,
        1.00148,
        1.01441,
        1.00696,
        1.02383,
        1.00406,
        1.00118,
        1.00006,
        0.969455,
        0.950258,
        1.07087,
        1.01013,
        0.987908,
        0.983374,
        1.00329,
        1.07184,
        1.0645,
        1.03406,
        1.0104,
        1.03358,
        1.00155,
        1.00671,
        1.05283,
        1.02598,
        1.00018,
        0.993299,
        1.04941,
        1.02899,
        0.985467,
        0.994804,
        0.994252,
        1.00537,
        0.997662,
        1.0337,
        1.0144,
        null,
        0.996316,
        0.994696,
        0.998519,
        0.985596,
        0.985745,
        1.00188,
        1.00182,
        0.999989,
        0.990433,
        0.982338,
        0.993155,
        0.995179,
        0.99547,
        0.999502,
        1.00301,
        0.997057,
        0.985383,
        0.981923,
        0.98639,
        0.985476,
        0.99294,
        0.992582,
        0.987467,
        0.991325,
        0.991312,
        0.984349,
        0.99235,
        0.99331,
        0.986631,
        0.982903,
        0.99231,
        0.988655,
        0.984135,
        1.00227,
        1.00221,
        0.985053,
        0.975179,
        0.97677,
        0.986726,
        0.982055,
        0.982502,
        0.96636,
        0.97087,
        0.965169,
        0.985036,
        0.98115,
        0.986083,
        0.986267,
        0.996393,
        0.987239,
        0.990989,
        0.987755,
        0.9897,
        0.986148,
        0.978536,
        0.955736,
        0.972731,
        1.00421,
        0.966243,
        0.913002,
        1.03398,
        1.0701,
        1.01705,
        0.988757,
        0.983473,
        0.979888,
        0.990141,
        0.988298,
        0.976873,
        0.986482,
        0.993878,
        0.979805,
        0.996089,
        0.977286,
        0.974262,
        1.0048,
        0.975665,
        0.980259,
        0.969003,
        0.979748,
        1.00851,
        0.993579,
        0.990096,
        1.00741,
        0.978997,
        0.983867,
        0.974825,
        0.963657,
        0.959722,
        0.979681,
        0.990406,
        1.00375,
        0.98296,
        0.957298,
        0.987296,
        0.983641,
        0.993096,
        0.983129,
        0.993798,
        0.98572,
        0.992941,
        0.988697,
        0.986963,
        0.986705,
        0.974701,
        0.992443,
        0.995266,
        0.98315,
        0.982902,
        0.980404,
        0.987535,
        0.993554,
        0.995238,
        0.991928,
        0.987533,
        0.993488,
        0.986507,
        0.989348,
        0.991679,
        0.989786,
        0.991785,
        0.988134,
        0.982588,
        0.981831,
        0.989967,
        0.990602,
        0.993453,
        0.99872,
        0.99818,
        0.990984,
        0.991075,
        0.984027,
        0.983273,
        null,
        1.04796,
        1.01631,
        0.984667,
        0.976814,
        0.978194,
        0.976107,
        0.966197,
        0.9704,
        0.977788,
        0.979548,
        0.9733,
        0.973544,
        0.984497,
        0.985644,
        0.980655,
        0.985388,
        0.986216,
        0.984929,
        0.976483,
        0.98346,
        0.978443,
        0.987228,
        0.984259,
        0.985382,
        0.986487,
        0.993844,
        0.998514,
        0.976709,
        0.98058,
        0.98307,
        0.979292,
        0.972666,
        0.963613,
        0.984411,
        0.983636,
        0.989019,
        0.996652,
        0.998517,
        0.980855,
        0.965196,
        0.962242,
        0.957283,
        0.974221,
        1.00794,
        0.997464,
        0.98007,
        0.988847,
        0.999099,
        0.989972,
        0.990818,
        0.998408,
        0.997116,
        1.00675,
        0.967758,
        0.992058,
        0.964646,
        0.977144,
        1.00784,
        1.00218,
        1.00765,
        1.01012,
        0.995446,
        0.980971,
        0.98552,
        0.992486,
        0.999236,
        1.00646,
        0.986299,
        0.965834,
        0.982036,
        0.980583,
        0.973642,
        0.967786,
        0.972659,
        0.975889,
        0.976124,
        0.972158,
        0.969671,
        0.984561,
        0.992626,
        0.979372,
        0.975345,
        0.976743,
        0.969759,
        0.96696,
        0.980505,
        0.976693,
        0.971443,
        0.976333,
        0.956419,
        0.981054,
        0.956726,
        0.967931,
        0.988462,
        0.976658,
        0.969148,
        0.949294,
        0.947472,
        0.955333,
        0.964849,
        0.955194,
        0.961653,
        0.965811,
        0.971134,
        0.971075,
        0.973265,
        0.98065,
        0.972305,
        0.964073,
        0.948977,
        0.96333,
        0.97814,
        0.964457,
        0.965532,
        0.9756,
        0.957838,
        0.953295,
        0.965647,
        0.96359,
        0.978829,
        0.969626,
        0.953952,
        0.962998,
        0.972531,
        0.961579,
        0.957033,
        0.956784,
        0.976616,
        0.978053,
        0.972128,
        0.964612,
        0.969804,
        0.988035,
        0.989642,
        0.970639,
        0.962926,
        0.961955,
        0.968305,
        0.957335,
        0.962069,
        0.970314,
        0.972371,
        0.981361,
        0.972774,
        0.956585,
        0.962393,
        0.962268,
        0.96526,
        0.964317,
        0.96719,
        0.972438,
        0.976736,
        0.980061,
        0.972959,
        0.967414,
        0.969506,
        0.965351,
        0.958417,
        0.964243,
        0.96991,
        0.967964,
        0.966059,
        0.968286,
        0.975629,
        0.972685,
        0.969932,
        0.969733,
        0.951622,
        0.962093,
        0.978629,
        0.972611,
        0.972868,
        0.966903,
        0.959084,
        0.960975,
        0.981724,
        0.973867,
        0.953896,
        0.956244,
        0.958391,
        0.962868,
        0.975565,
        0.97151,
        0.96126,
        0.975204,
        0.961849,
        0.957185,
        0.964676,
        0.971223,
        0.960605,
        0.951983,
        0.95786,
        0.990858,
        0.971309,
        0.968182,
        0.968867,
        0.957232,
        0.953235,
        0.956539,
        0.934705,
        0.938624,
        0.966651,
        0.965998,
        0.965907,
        0.966732,
        0.95645,
        0.950948,
        0.964011,
        0.955521,
        0.953678,
        0.969347,
        0.958757,
        0.956496,
        0.962782,
        0.965795,
        0.963201,
        0.960184,
        0.962084,
        0.961957,
        0.961869,
        0.970624,
        0.97825,
        0.96292,
        0.963634,
        0.970037,
        0.965965,
        0.973843,
        0.985253,
        0.9781,
        0.971445,
        0.982653,
        0.980038,
        0.971728,
        0.961162,
        0.966771,
        0.983589,
        0.983542,
        0.987593,
        0.977115,
        0.957547,
        0.964848,
        0.968122,
        0.968054,
        0.973376,
        0.9626,
        0.972551,
        0.965996,
        0.990114,
        0.983129,
        0.956638,
        0.966603,
        0.962861,
        0.991542,
        1.02421,
        0.979378,
        0.976076,
        0.993162,
        1.01057,
        0.997405,
        0.976429,
        0.963188,
        0.973379,
        0.983185,
        0.983381,
        0.981645,
        0.964685,
        0.95762,
        0.957305,
        0.965495,
        0.962215,
        0.959362,
        0.976927,
        0.981949,
        0.971472,
        0.960351,
        0.964103,
        0.967666,
        0.970731,
        0.980759,
        0.972346,
        0.956278,
        0.950918,
        0.960049,
        0.957594,
        0.969863,
        0.979997,
        0.982653,
        0.972687,
        0.957055,
        0.979372,
        0.966168,
        0.959365,
        0.954638,
        0.964126,
        0.960254,
        0.957985,
        0.954047,
        0.953502,
        0.958929,
        0.947733,
        0.943846,
        0.947106,
        0.954195,
        0.96187,
        0.958173,
        0.969671,
        0.970907,
        0.955088,
        0.948601,
        0.951773,
        0.952875,
        0.948187,
        0.958006,
        0.970002,
        0.967902,
        0.970745,
        0.967638,
        0.969819,
        0.970146,
        0.969717,
        0.981795,
        0.974342,
        0.975452,
        0.968144,
        0.986002,
        0.960149,
        0.957835,
        0.961472,
        0.958098,
        0.969702,
        0.989342,
        0.986324,
        0.973512,
        0.973332,
        0.944064,
        0.820923,
        0.663454,
        0.570817,
        0.59398,
        0.740791,
        0.872689,
        0.942993,
        0.98955,
        0.994606,
        0.971584,
        0.966785,
        0.968635,
        0.970887,
        0.967352,
        0.965554,
        0.964743,
        0.969623,
        0.963389,
        0.957103,
        0.957401,
        0.952706,
        0.942391,
        0.952701,
        0.966713,
        0.965445,
        0.95873,
        0.952755,
        0.961824,
        0.975159,
        0.978204,
        0.97668,
        0.96578,
        0.962423,
        0.971306,
        0.969043,
        0.96665,
        0.964788,
        0.975987,
        0.968806,
        0.954169,
        0.973709,
        0.98081,
        0.975036,
        0.969658,
        0.974149,
        0.96913,
        0.959518,
        0.980816,
        0.988625,
        0.970218,
        0.983464,
        0.988139,
        0.974458,
        0.967359,
        0.963476,
        0.966108,
        0.976362,
        0.984085,
        0.983575,
        0.979382,
        0.982161,
        1.00218,
        0.988946,
        0.963205,
        0.969025,
        0.988837,
        0.980874,
        0.983067,
        0.988216,
        0.980677,
        0.971773,
        0.978735,
        0.971997,
        0.960832,
        0.981612,
        1.02053,
        1.01569,
        0.983597,
        0.988188,
        1.02738,
        1.03835,
        0.983022,
        0.9439,
        0.950975,
        0.968479,
        0.988493,
        1.00784,
        1.00358,
        0.991004,
        0.990109,
        0.997982,
        1.01821,
        1.0115,
        0.987441,
        0.969348,
        0.984456,
        0.961891,
        0.966693,
        0.965692,
        1.00301,
        1.00417,
        0.979795,
        0.980677,
        0.991323,
        0.990968,
        0.974837,
        0.975883,
        0.979566,
        0.969054,
        0.959828,
        0.981752,
        0.991602,
        0.982659,
        0.990708,
        0.97614,
        0.983988,
        0.986551,
        0.966579,
        0.966726,
        0.970833,
        0.971327,
        0.952039,
        0.967003,
        0.959968,
        0.98982,
        0.982472,
        0.983999,
        0.969281,
        0.979059,
        0.9906,
        0.991452,
        0.989498,
        0.986264,
        0.981357,
        0.976723,
        0.974948,
        0.973607,
        0.979423,
        0.992381,
        0.986361,
        0.977281,
        0.979193,
        0.96965,
        0.973063,
        0.989056,
        0.992848,
        1.00155,
        0.98717,
        0.990148,
        0.995693,
        0.981052,
        0.981708,
        0.968086,
        0.965648,
        0.977629,
        0.967742,
        0.970893,
        0.975671,
        0.983423,
        0.970429,
        0.972082,
        0.968136,
        0.952086,
        0.953165,
        0.9663,
        0.968199,
        0.967024,
        0.977098,
        0.98862,
        0.982448,
        0.982127,
        0.983456,
        0.975022,
        0.970038,
        0.966766,
        0.975258,
        0.97263,
        0.983931,
        0.98303,
        0.972529,
        0.966655,
        0.971064,
        0.979998,
        0.975778,
        0.98211,
        0.973407,
        0.962733,
        0.971555,
        0.969546,
        0.947221,
        0.961352,
        0.974443,
        0.980159,
        0.997816,
        0.992778,
        0.993379,
        0.981427,
        0.979483,
        0.991673,
        0.978903,
        0.975376,
        0.982578,
        0.972712,
        0.975993,
        0.978996,
        0.979763,
        0.977246,
        0.97845,
        0.971153,
        0.962787,
        0.959315,
        0.983092,
        0.989725,
        0.983798,
        0.974281,
        0.956236,
        0.93974,
        0.955211,
        0.989256,
        0.972007,
        0.984563,
        0.983219,
        0.956991,
        0.970221,
        0.954286,
        0.987987,
        0.979849,
        0.960608,
        0.949597,
        0.974029,
        0.993921,
        1.01675,
        1.00551,
        1.00115,
        0.995891,
        1.02239,
        1.00286,
        1.00079,
        0.975527,
        0.97335,
        0.980409,
        0.976218,
        0.969223,
        0.97321,
        0.978434,
        0.966839,
        0.964966,
        0.970741,
        0.955519,
        0.953154,
        0.95784,
        0.967926,
        0.964208,
        0.959367,
        0.957446,
        0.967676,
        0.988644,
        0.987365,
        0.964558,
        0.963603,
        0.96636,
        0.973009,
        0.982039,
        0.956629,
        0.965524,
        0.962809,
        0.957296,
        0.959058,
        0.965314,
        0.97381,
        0.986577,
        0.984215,
        0.961417,
        0.969929,
        0.983719,
        0.99188,
        null,
        1.02001,
        0.991024,
        1.02457,
        1.06892,
        1.04835,
        1.02549,
        1.00429,
        1.01493,
        1.00822,
        1.01025,
        0.991862,
        0.98859,
        1.0054,
        0.977078,
        0.996235,
        0.99745,
        1.00038,
        1.00829,
        0.989939,
        1.00866,
        1.02354,
        1.01829,
        1.00971,
        1.00067,
        1.00318,
        1.01941,
        1.00206,
        0.991941,
        0.993754,
        1.01169,
        1.01632,
        1.03229,
        1.00276,
        1.0075,
        1.00859,
        1.02812,
        1.0124,
        1.00901,
        1.01523,
        1.0244,
        1.01694,
        1.01354,
        1.02981,
        1.03765,
        1.03131,
        1.00889,
        0.992212,
        0.995005,
        1.01985,
        1.02398,
        1.02733,
        1.04368,
        1.03808,
        1.003,
        1.02746,
        1.02057,
        1.015,
        null,
        0.978975,
        1.0468,
        1.06637,
        1.05017,
        1.033,
        1.00289,
        0.972997,
        0.978779,
        0.990639,
        1.00337,
        1.01117,
        1.00643,
        1.00359,
        1.01296,
        1.02478,
        1.02494,
        1.00456,
        0.993266,
        0.990781,
        0.998564,
        1.02425,
        1.04211,
        1.05019,
        1.00886,
        0.990211,
        0.990591,
        1.00606,
        1.00107,
        0.986138,
        0.980584,
        0.986951,
        0.997992,
        1.00831,
        1.00358,
        0.999308,
        1.00634,
        1.0094,
        1.01062,
        1.00992,
        1.0242,
        1.03179,
        1.02922,
        1.02527,
        1.02631,
        1.03143,
        1.01902,
        1.00592,
        0.995394,
        1.01152,
        1.01197,
        1.00532,
        1.00604,
        1.00697,
        1.01081,
        1.02345,
        1.01673,
        1.00696,
        1.00223,
        1.00239,
        1.00349,
        1.00463,
        1.00813,
        1.00944,
        1.0077,
        0.987993,
        0.990713,
        1.01308,
        1.01476,
        1.01265,
        1.00849,
        1.00921,
        1.01141,
        1.0137,
        1.01267,
        1.00776,
        1.00261,
        1.001,
        1.00674,
        1.01203,
        1.01217,
        1.02585,
        1.02655,
        1.00303,
        0.993692,
        0.993304,
        1.00197,
        1.0246,
        1.02637,
        1.01018,
        1.00936,
        1.00707,
        1.00361,
        0.999014,
        0.997328,
        0.99811,
        1.00292,
        0.997705,
        0.993311,
        1.00108,
        1.01148,
        1.0175,
        1.01368,
        1.00991,
        1.00478,
        0.997596,
        1.00289,
        1.00341,
        0.998073,
        1.00647,
        1.00544,
        0.998149,
        1.01104,
        1.01231,
        1.00701,
        1.00496,
        1.00523,
        1.00477,
        0.997738,
        1.01295,
        1.02176,
        0.998949,
        0.989793,
        0.988503,
        0.99608,
        1.00575,
        1.01355,
        1.01866,
        1.01476,
        1.00913,
        1.00246,
        1.00526,
        1.00291,
        0.998665,
        1.01078,
        1.00697,
        0.997483,
        1.00381,
        1.00759,
        1.01248,
        1.02397,
        1.01254,
        1.00165,
        1.0061,
        0.998973,
        0.989243,
        0.978376,
        0.996009,
        1.01834,
        1.04317,
        1.01603,
        1.0116,
        1.02381,
        0.964811,
        0.945914,
        0.951904,
        0.944369,
        0.944733,
        0.978118,
        0.973252,
        0.97605,
        0.97985,
        0.981184,
        0.974328,
        0.971039,
        0.976089,
        0.976472,
        0.978484,
        0.982869,
        0.978703,
        0.974633,
        0.971299,
        0.978276,
        0.988205,
        1.00066,
        1.0165,
        1.02115,
        1.02102,
        1.02254,
        1.02489,
        1.02216,
        1.00567,
        1.00107,
        1.00243,
        1.00973,
        1.01481,
        1.01179,
        0.998035,
        0.996036,
        0.992623,
        0.987694,
        0.989998,
        0.999682,
        1.01317,
        1.01063,
        1.01374,
        1.01769,
        1.01157,
        1.00236,
        1.00024,
        1.02313,
        1.02253,
        1.01792,
        1.01857,
        1.01103,
        1.00432,
        1.00071,
        0.999136,
        0.997906,
        0.997017,
        1.01229,
        1.01831,
        1.01652,
        1.01356,
        1.01063,
        1.0099,
        1.02143,
        1.01915,
        1.01026,
        1.00036,
        0.997495,
        1.00026,
        1.0109,
        1.01478,
        1.01559,
        1.01324,
        1.01259,
        1.00938,
        1.0028,
        1.00329,
        1.00051,
        0.994493,
        0.984828,
        0.978088,
        0.974257,
        0.976591,
        0.978692,
        0.98752,
        1.02182,
        1.03079,
        1.03323,
        1.03996,
        1.00245,
        0.940822,
        0.888489,
        0.810447,
        0.733131,
        0.747713,
        0.820322,
        0.913498,
        0.982835,
        0.995671,
        0.99262,
        1.00056,
        0.996045,
        0.99949,
        1.00059,
        1.00274,
        1.00986,
        1.00096,
        1.01046,
        1.00617,
        0.999855,
        0.996166,
        0.997238,
        0.999177,
        0.99533,
        0.995641,
        0.996588,
        1.00417,
        1.00503,
        0.997027,
        0.994239,
        1.00552,
        0.997484,
        0.996858,
        1.01103,
        1.0137,
        1.00397,
        0.998067,
        1.00126,
        0.997971,
        0.990972,
        1.00069,
        1.00016,
        1.00742,
        1.01507,
        0.993395,
        0.991894,
        1.00136,
        1.00855,
        1.01366,
        1.0115,
        1.00778,
        1.00483,
        1.0019,
        0.995074,
        1.00021,
        1.00709,
        1.00224,
        1.0148,
        1.00785,
        1.00487,
        1.00441,
        1.00637,
        1.0037,
        0.998487,
        1.01717,
        1.01006,
        1.00441,
        0.996546,
        1.01403,
        0.979586,
        0.952584,
        1.00142,
        1.01447,
        1.01384,
        1.01041,
        1.00986,
        1.01538,
        1.01241,
        1.00895,
        0.999414,
        0.991687,
        0.995938,
        0.997527,
        0.999013,
        0.990396,
        0.994946,
        0.996925,
        0.997343,
        0.986775,
        0.990518,
        0.999785,
        1.01016,
        1.0023,
        1.008,
        1.00171,
        0.991988,
        1.00372,
        1.00474,
        1.00836,
        0.998797,
        0.998523,
        1.01263,
        0.998739,
        0.998002,
        0.995387,
        1.00163,
        1.0061,
        1.00495,
        1.02216,
        1.01766,
        1.01733,
        1.02597,
        1.02836,
        1.01402,
        1.00992,
        0.996464,
        0.998908,
        1.00072,
        1.0094,
        1.02661,
        1.00867,
        1.01539,
        1.00606,
        1.01656,
        1.04418,
        1.05378,
        1.05298,
        1.05151,
        1.02231,
        1.00394,
        1.02973,
        1.04158,
        1.06443,
        1.07226,
        1.06713,
        1.07273,
        1.08291,
        1.053,
        0.988394,
        0.985547,
        null,
        1.06805,
        1.08983,
        1.06022,
        1.0527,
        1.05639,
        1.06428,
        1.02157,
        1.05905,
        1.07736,
        1.04573,
        1.03474,
        1.05276,
        1.06664,
        1.05356,
        1.05402,
        1.07229,
        1.11426,
        1.11181,
        1.14449,
        1.1576,
        1.12474,
        1.0546,
        0.897764,
        0.660874,
        0.470576,
        0.40331,
        0.474795,
        0.628363,
        0.795433,
        0.905284,
        0.974626,
        0.997595,
        0.985055,
        0.993047,
        1.00578,
        1.0353,
        1.04857,
        1.05011,
        1.02335,
        1.02798,
        1.03605,
        1.0239,
        1.01623,
        1.03295,
        1.03489,
        1.00797,
        0.995717,
        0.97171,
        0.970575,
        0.981385,
        0.914658,
        0.946211,
        0.997174,
        1.03191,
        0.978889,
        0.993975,
        1.02135,
        1.0284,
        1.02194,
        1.0085,
        1.01403,
        1.02076,
        1.00766,
        0.988968,
        1.0098,
        0.981829,
        0.991379,
        0.990278,
        1.01459,
        0.998703,
        0.999901,
        0.990888,
        1.00054,
        1.01609,
        1.00501,
        0.995563,
        1.0058,
        1.01365,
        1.00044,
        1.01041,
        1.00525,
        1.00655,
        1.00997,
        1.01975,
        1.01498,
        1.00727,
        0.999834,
        1.01066,
        1.01887,
        1.00984,
        0.997328,
        1.00724,
        1.00666,
        1.00484,
        1.01146,
        1.01332,
        1.0055,
        0.996689,
        1.00078,
        1.00831,
        1.00401,
        1.00358,
        1.00378,
        0.991743,
        1.00167,
        1.00799,
        1.00825,
        1.00014,
        1.00622,
        1.01463,
        1.00601,
        0.991224,
        0.987138,
        0.981213,
        0.998928,
        0.999353,
        0.999715,
        1.00053,
        1.00039,
        1.0055,
        1.00145,
        1.00004,
        1.00749,
        0.998692,
        0.997345,
        1.01091,
        1.00717,
        1.01525,
        1.02709,
        1.02547,
        1.01673,
        1.00844,
        1.01081,
        1.01398,
        1.01445,
        1.00595,
        0.998854,
        1.00329,
        1.0071,
        1.02685,
        1.01787,
        0.995708,
        0.997862,
        0.999713,
        1.0057,
        0.997917,
        0.999772,
        1.00085,
        1.00179,
        1.00127,
        1.0009,
        1.0009,
        1.00249,
        1.01441,
        1.00897,
        1.01421,
        1.0086,
        1.00023,
        1.01056,
        1.0133,
        1.01245,
        1.01295,
        1.01402,
        1.00823,
        1.01283,
        1.01168,
        1.00956,
        1.00212,
        1.01639,
        1.0115,
        0.999893,
        1.00907,
        1.01169,
        1.00236,
        1.00224,
        1.00561,
        1.00438,
        1.0096,
        1.01395,
        1.0157,
        1.01772,
        1.03152,
        1.02912,
        1.01722,
        1.00993,
        0.999158,
        1.00043,
        1.00317,
        1.01049,
        1.01527,
        1.01616,
        1.01388,
        1.01777,
        1.01943,
        1.0019,
        1.00038,
        0.991704,
        0.991618,
        0.988982,
        1.00102,
        0.994435,
        0.998138,
        1.00604,
        1.01042,
        0.998574,
        0.997191,
        1.00565,
        1.01655,
        1.0111,
        1.00118,
        1.0041,
        0.977154,
        0.92857,
        0.961256,
        0.996298,
        0.985341,
        0.986786,
        0.999091,
        1.00914,
        1.00853,
        0.985133,
        0.911222,
        0.830093,
        0.773163,
        0.786891,
        0.813797,
        0.884791,
        0.933874,
        0.97435,
        0.985764,
        0.983524,
        0.984085,
        0.984261,
        1.00302,
        0.985096,
        0.981662,
        1.00041,
        0.997823,
        0.996234,
        0.995501,
        0.992316,
        0.99725,
        1.00695,
        0.995108,
        0.990175,
        1.00698,
        1.00609,
        1.00362,
        1.00532,
        0.99661,
        0.993481,
        1.00544,
        0.992074,
        0.99587,
        1.00418,
        0.992103,
        0.992161,
        1.00743,
        0.993548,
        0.992539,
        0.993033,
        0.997308,
        1.0034,
        1.0059,
        1.00086,
        1.01174,
        1.01751,
        1.00419,
        1.00415,
        0.998081,
        1.00099,
        1.016,
        1.01609,
        1.00646,
        1.00607,
        1.01474,
        1.00013,
        1.00311,
        1.00525,
        1.00668,
        1.01652,
        1.01301,
        0.999277,
        0.997957,
        1.00057,
        1.00183,
        1.00334,
        1.00015,
        0.997979,
        1.00451,
        0.994325,
        0.98557,
        0.991718,
        0.99843,
        0.996339,
        1.00497,
        1.01126,
        1.0119,
        1.00477,
        0.990897,
        1.00502,
        1.01231,
        1.00198,
        0.999004,
        0.996312,
        1.00235,
        1.00827,
        1.01792,
        1.01402,
        0.999756,
        0.996262,
        0.983904,
        0.998975,
        0.999872,
        0.998361,
        0.999183,
        0.997537,
        0.988563,
        0.991209,
        0.998486,
        1.00167,
        1.00428,
        0.996347,
        0.999527,
        1.00851,
        1.00626,
        0.998254,
        0.996775,
        0.992587,
        0.988684,
        0.985313,
        0.990643,
        0.992356,
        0.989,
        0.992276,
        1.001,
        0.995714,
        0.992883,
        1.00528,
        1.00657,
        1.00989,
        1.00467,
        0.993239,
        1.00541,
        1.00161,
        0.992077,
        0.982105,
        0.994897,
        0.991186,
        0.988518,
        0.986091,
        0.99369,
        1.00605,
        1.00368,
        1.00487,
        1.00399,
        1.00539,
        1.00236,
        0.998797,
        0.996632,
        0.998219,
        0.989783,
        0.977201,
        0.985593,
        0.994892,
        1.00414,
        0.997833,
        0.973009,
        0.961634,
        0.980034,
        0.994619,
        0.968552,
        0.946003,
        0.939879,
        0.969539,
        0.981299,
        0.96599,
        0.963185,
        0.972842,
        0.979356,
        0.981019,
        0.98026,
        0.983646,
        0.997521,
        1.00559,
        0.983886,
        0.981474,
        0.986245,
        0.995399,
        1.00435,
        1.00686,
        1.0013,
        1.0034,
        1.01731,
        1.03805,
        1.0284,
        1.03096,
        1.03745,
        1.02852,
        1.0214,
        1.01331,
        1.00095,
        1.0001,
        1.00059,
        0.999164,
        0.998552,
        0.998358,
        0.998682,
        1.0127,
        1.01769,
        1.01565,
        1.01253,
        1.00889,
        1.00556,
        1.00433,
        0.992916,
        0.987397,
        1.0027,
        1.01147,
        1.01448,
        1.01069,
        0.99679,
        0.995377,
        1.00626,
        1.0133,
        1.01179,
        1.00686,
        1.01615,
        1.01605,
        1.01143,
        1.00543,
        1.00769,
        1.00932,
        1.0055,
        1.0125,
        1.01594,
        1.01305,
        1.01558,
        1.02073,
        1.0266,
        1.01582,
        1.01355,
        1.01486,
        1.01107,
        1.00443,
        1.00288,
        1.01657,
        1.02063,
        1.01982,
        1.01406,
        1.02512,
        1.02938,
        1.02448,
        1.01895,
        1.01813,
        1.01897,
        1.00575,
        1.00586,
        1.01284,
        1.0211,
        1.02873,
        1.03748,
        1.04905,
        1.03952,
        1.0297,
        1.02429,
        1.01104,
        1.01387,
        1.03079,
        1.02224,
        1.01782,
        1.0166,
        1.0187,
        1.01488,
        1.01274,
        1.0221,
        1.02895,
        1.02876,
        1.01715,
        1.03452,
        1.04509,
        1.04459,
        1.04478,
        1.04251,
        1.04103,
        1.06092,
        1.08897,
        1.11415,
        1.11174,
        1.11574,
        1.10243,
        1.0461,
        0.89859,
        0.728446,
        0.548721,
        0.499352,
        0.546271,
        0.68511,
        0.837363,
        0.918305,
        0.951105,
        0.975098,
        1.0022,
        1.02494,
        1.03086,
        1.04095,
        1.04294,
        1.02866,
        1.02633,
        1.02843,
        1.03419,
        1.03715,
        1.03033,
        1.01747,
        1.0223,
        1.03048,
        1.03082,
        0.991276,
        0.990052,
        0.993571,
        0.978893,
        0.976834,
        0.975775,
        0.973167,
        0.9952,
        1.00766,
        1.00915,
        1.00475,
        0.995616,
        1.00149,
        1.01247,
        1.00159,
        0.990216,
        0.986254,
        0.978204,
        0.969828,
        0.985582,
        1.01095,
        1.00314,
        0.969523,
        0.987606,
        0.982362,
        0.964862,
        0.985586,
        0.991383,
        0.985822,
        0.992222,
        1.00647,
        1.00237,
        0.996171,
        0.992941,
        0.998607,
        1.01207,
        1.01019,
        1.00193,
        1.01024,
        1.01935,
        1.01223,
        1.01304,
        1.00226,
        0.992692,
        0.991504,
        1.00911,
        0.997967,
        0.99938,
        0.991647,
        1.00357,
        0.998684,
        0.99491,
        0.991557,
        0.997398,
        0.992772,
        1.00993,
        0.994025,
        1.00038,
        1.00623,
        0.998456,
        1.00115,
        1.00095,
        0.99789,
        1.00123,
        0.999931,
        0.995427,
        0.990746,
        0.997261,
        1.00377,
        0.994547,
        0.996765,
        1.00481,
        1.01842,
        1.00689,
        1.00315,
        1.01197,
        1.00034,
        0.998309,
        1.00381,
        1.00641,
        1.00319,
        0.997806,
        0.995679,
        0.999571,
        1.00047,
        0.990772,
        0.992644,
        1.00069,
        1.01491,
        1.0038,
        1.00364,
        1.01378,
        1.01305,
        1.01344,
        1.01382,
        1.01105,
        1.00972,
        1.01074,
        1.01647,
        1.02131,
        1.02117,
        1.01342,
        1.01082,
        1.00429,
        0.994005,
        1.00766,
        1.00737,
        0.999172,
        1.00124,
        0.997957,
        0.96279,
        0.964766,
        0.973774,
        0.970776,
        0.96832,
        0.969242,
        0.943085,
        0.974713,
        0.975026,
        0.983329,
        0.995679,
        0.98923,
        0.98833,
        0.989274,
        0.986734,
        0.990631,
        0.994857,
        0.995735,
        1.00165,
        1.00296,
        0.997116,
        1.00784,
        1.01032,
        1.0074,
        1.02497,
        1.02379,
        1.01299,
        1.00615,
        0.976982,
        0.929318,
        0.85458,
        0.812678,
        0.812709,
        0.868272,
        0.918334,
        0.952818,
        0.971531,
        0.983443,
        0.996463,
        1.00856,
        1.01231,
        1.01781,
        1.01734,
        0.998878,
        0.99228,
        0.996423,
        1.01396,
        1.01557,
        1.01211,
        1.00506,
        1.01154,
        1.01368,
        1.01178,
        1.00351,
        0.987628,
        0.975747,
        0.986574,
        0.994104,
        0.989008,
        0.961996,
        0.970048,
        0.983706,
        0.999718,
        1.00693,
        1.00346,
        0.99065,
        0.970143,
        0.940598,
        0.929748,
        0.997236,
        0.999591,
        0.976214,
        0.939085,
        0.930771,
        0.900263,
        0.91563,
        0.925499,
        0.937526,
        0.973355,
        0.993803,
        1.00134,
        0.991131,
        0.970747,
        0.966113,
        0.988177,
        1.00237,
        0.997767,
        0.977197,
        0.979032,
        0.98547,
        0.993058,
        0.992746,
        1.00131,
        1.00653,
        0.994771,
        0.991407,
        0.990775,
        0.991742,
        0.997165,
        1.00357,
        1.00978,
        null,
        0.909359,
        0.927746,
        0.946133,
        0.96452,
        0.982243,
        0.984485,
        0.972997,
        0.95951,
        0.967378,
        0.974648,
        0.976203,
        0.968512,
        0.965315,
        0.97019,
        0.977943,
        0.965157,
        0.973073,
        0.987759,
        1.00093,
        0.977679,
        0.967104,
        0.972436,
        0.963166,
        0.96565,
        0.978345,
        1.0035,
        0.997798,
        0.989715,
        0.986374,
        0.977629,
        0.975878,
        0.977273,
        0.97234,
        0.970335,
        0.96863,
        0.965786,
        0.960564,
        0.967082,
        0.98225,
        0.983772,
        0.972788,
        0.962682,
        0.96657,
        0.974232,
        0.979691,
        0.981882,
        0.984776,
        0.985352,
        0.986186,
        0.992562,
        0.985609,
        0.977713,
        0.972951,
        0.970059,
        0.973467,
        0.980168,
        0.978077,
        0.972143,
        0.965561,
        0.960462,
        0.963794,
        0.968022,
        0.971966,
        0.972035,
        0.978371,
        0.98474,
        0.983639,
        0.987392,
        0.986331,
        0.977715,
        0.967019,
        0.968766,
        0.969281,
        0.932909,
        0.945764,
        0.962688,
        0.964725,
        0.926546,
        0.938762,
        0.934572,
        0.972104,
        0.986308,
        0.982581,
        0.972721,
        0.969754,
        0.970852,
        0.975493,
        0.969153,
        0.966901,
        0.969584,
        0.977958,
        0.98222,
        0.983747,
        0.982818,
        0.978218,
        0.977431,
        0.981093,
        0.970327,
        0.966841,
        0.968228,
        0.972108,
        0.975055,
        0.971942,
        0.960283,
        0.955068,
        0.959791,
        0.9708,
        0.975027,
        0.974039,
        0.972512,
        0.973591,
        0.968566,
        0.968364,
        0.972597,
        0.970391,
        0.972243,
        0.975251,
        0.976512,
        0.983175,
        0.976525,
        0.952518,
        0.948607,
        0.956088,
        0.967809,
        0.967954,
        0.96486,
        0.969126,
        0.986654,
        0.97812,
        0.974635,
        0.975149,
        0.972674,
        0.979711,
        0.986421,
        0.985732,
        0.971017,
        0.967394,
        0.976575,
        0.979358,
        0.981959,
        0.982711,
        0.978319,
        0.970908,
        0.966899,
        0.968167,
        0.974137,
        0.974414,
        0.971591,
        0.970687,
        0.976842,
        0.982699,
        0.984848,
        0.985243,
        0.98403,
        0.98066,
        0.971415,
        0.971049,
        0.973404,
        0.973971,
        0.976976,
        0.971901,
        0.959663,
        0.968166,
        0.972132,
        0.973232,
        0.972636,
        0.982688,
        0.989707,
        0.989771,
        0.996475,
        1.00014,
        0.999751,
        0.9905,
        0.989485,
        0.986871,
        0.976941,
        0.973054,
        0.971557,
        0.973559,
        0.987432,
        0.993655,
        0.997099,
        1.00109,
        0.998321,
        0.992683,
        0.984694,
        0.976739,
        0.974915,
        0.977464,
        0.983136,
        0.985248,
        0.983494,
        0.977299,
        0.984079,
        0.982901,
        0.977972,
        0.981304,
        0.987822,
        0.995122,
        1.0021,
        0.991159,
        0.98192,
        0.976935,
        0.987495,
        0.987836,
        0.985898,
        0.989695,
        0.991541,
        0.987937,
        0.977415,
        0.950307,
        0.955177,
        0.971736,
        0.967553,
        0.968356,
        0.97266,
        0.980432,
        0.989402,
        0.98544,
        0.973445,
        0.965944,
        0.972632,
        0.9803,
        0.982078,
        0.994535,
        0.990521,
        0.971898,
        0.968399,
        0.972147,
        0.974321,
        0.964331,
        0.959457,
        0.957397,
        0.975219,
        0.968354,
        0.948658,
        0.935122,
        0.934195,
        0.944124,
        0.966716,
        0.973249,
        0.96992,
        0.957461,
        0.961358,
        0.965542,
        0.968752,
        0.966599,
        0.965455,
        0.968823,
        0.98027,
        0.978064,
        0.975912,
        0.975395,
        0.97938,
        0.975234,
        0.974349,
        0.990883,
        0.999227,
        0.999211,
        0.991033,
        0.986062,
        0.989696,
        0.996544,
        0.998069,
        0.986054,
        0.973265,
        0.963615,
        0.979713,
        0.990695,
        0.993437,
        0.974768,
        0.980294,
        0.987403,
        0.984357,
        0.981591,
        0.980262,
        0.981182,
        0.990299,
        0.997704,
        0.998311,
        0.983595,
        0.982088,
        0.984309,
        0.988736,
        0.995253,
        0.997338,
        0.995557,
        0.989158,
        0.990067,
        0.990934,
        0.989448,
        0.988791,
        0.988241,
        0.987592,
        0.986152,
        0.973437,
        0.966147,
        0.974594,
        0.978463,
        0.987593,
        0.999106,
        0.994617,
        0.99533,
        0.998397,
        1.00216,
        0.997336,
        0.990767,
        0.984036,
        0.985045,
        0.978744,
        0.972462,
        0.977891,
        0.993507,
        1.00054,
        0.992075,
        1.00359,
        0.997221,
        0.980731,
        0.974773,
        0.977743,
        0.987009,
        1.00274,
        0.994322,
        0.98964,
        0.991224,
        1.00606,
        1.01232,
        1.00331,
        0.967479,
        0.968737,
        0.980925,
        0.99958,
        1.01137,
        1.00106,
        0.989536,
        1.0067,
        0.678665,
        0.783783,
        0.831929,
        0.878175,
        0.923013,
        0.930074,
        0.948,
        0.969848,
        0.987838,
        0.993419,
        0.997185,
        1.00162,
        1.00917,
        1.00034,
        0.987802,
        1.00083,
        0.999286,
        0.990441,
        0.975953,
        0.971734,
        0.969855,
        0.968852,
        0.963836,
        0.956721,
        0.956653,
        0.972242,
        0.974119,
        0.975346,
        0.976529,
        0.972917,
        0.97603,
        0.976502,
        0.962454,
        0.967716,
        0.98124,
        0.999966,
        0.997162,
        0.988391,
        0.979244,
        0.980201,
        0.990939,
        0.996435,
        0.991175,
        0.964326,
        0.946556,
        0.938189,
        0.943715,
        0.949308,
        0.957425,
        0.970065,
        0.986285,
        0.907578,
        0.932466,
        0.954774,
        0.969036,
        0.975904,
        0.974805,
        0.963375,
        0.968159,
        0.978784,
        0.971772,
        0.978846,
        0.985096,
        0.983959,
        0.980569,
        0.973081,
        0.965398,
        0.97457,
        0.986705,
        0.988802,
        0.968313,
        0.970007,
        0.973444,
        0.976707,
        0.980307,
        0.985321,
        0.987662,
        0.981375,
        0.977995,
        0.972554,
        0.965211,
        0.979921,
        0.986358,
        0.986306,
        0.980225,
        0.972714,
        0.970995,
        0.978251,
        0.975369,
        0.973554,
        0.972437,
        0.970853,
        0.972718,
        0.973294,
        0.969564,
        0.979633,
        0.985098,
        0.985619,
        0.984843,
        0.97782,
        0.971569,
        0.972938,
        0.976183,
        0.979573,
        0.982686,
        0.983376,
        0.981596,
        0.977678,
        0.971154,
        0.985315,
        0.98994,
        0.977072,
        0.984403,
        0.986715,
        0.983643,
        0.971851,
        0.979208,
        0.985474,
        0.981482,
        0.985409,
        0.988176,
        0.987775,
        0.97556,
        0.965718,
        0.961297,
        0.966313,
        0.969671,
        0.968541,
        0.964344,
        0.971255,
        0.973279,
        0.974205,
        0.978162,
        0.975771,
        0.974912,
        0.976522,
        0.965692,
        0.966316,
        0.975492,
        0.991365,
        0.987877,
        0.977877,
        0.964833,
        0.95351,
        0.95596,
        0.968134,
        0.979494,
        0.975025,
        0.9656,
        0.956195,
        0.96865,
        0.974537,
        0.973568,
        0.974003,
        0.966594,
        0.963296,
        0.977153,
        0.962799,
        0.959183,
        0.970625,
        0.976776,
        0.974995,
        0.965752,
        0.946422,
        0.947449,
        0.952744,
        0.959265,
        0.966097,
        0.969262,
        0.968337,
        0.960532,
        0.960103,
        0.963789,
        0.971057,
        0.970112,
        0.968632,
        0.96715,
        0.967253,
        0.977418,
        0.984869,
        0.981225,
        0.984487,
        0.982178,
        0.975519,
        0.976827,
        0.985358,
        0.990212,
        0.979209,
        0.975788,
        0.972426,
        0.969242,
        0.983065,
        0.9843,
        0.982598,
        0.992293,
        0.981892,
        0.975003,
        0.9782,
        0.973531,
        0.975203,
        0.979402,
        0.976735,
        0.977493,
        0.975901,
        0.968742,
        0.974121,
        0.969747,
        0.958849,
        0.957593,
        0.97134,
        0.979647,
        0.9684,
        0.963579,
        0.952532,
        0.937388,
        0.937438,
        0.95215,
        0.965656,
        0.961395,
        0.937416,
        0.926671,
        0.976407,
        0.970124,
        0.974976,
        0.962246,
        0.945491,
        0.930337,
        0.928413,
        0.939155,
        0.958308,
        0.967887,
        0.959491,
        0.952826,
        0.962992,
        0.97352,
        0.979631,
        0.979768,
        0.964738,
        0.966171,
        0.976147,
        0.989826,
        0.986164,
        0.988184,
        0.997359,
        0.976239,
        0.970384,
        0.974892,
        0.986143,
        0.972018,
        0.958366,
        0.952741,
        0.955172,
        0.973969,
        0.988961,
        0.939597,
        0.966686,
        0.983999,
        null,
        1.0348,
        0.97711,
        0.96179,
        0.976165,
        1.01845,
        1.01788,
        1.00703,
        0.993428,
        1.01561,
        0.990626,
        0.991144,
        0.99954,
        0.997591,
        0.98731,
        0.967493,
        0.976828,
        0.982143,
        0.980691,
        0.967675,
        0.972367,
        0.979713,
        0.977195,
        0.977338,
        0.973984,
        0.968204,
        0.982186,
        0.985042,
        0.984299,
        0.989442,
        0.989989,
        0.990137,
        0.990473,
        0.974261,
        0.969313,
        0.972201,
        0.977697,
        0.982101,
        0.987337,
        0.994142,
        0.988996,
        0.984444,
        0.984732,
        1.00563,
        1.01285,
        1.00972,
        0.99541,
        0.962125,
        0.95077,
        0.959143,
        0.964983,
        0.971423,
        0.97599,
        0.97605,
        0.985713,
        0.987861,
        0.983681,
        0.996529,
        0.989115,
        0.977225,
        0.977889,
        0.97599,
        0.971047,
        0.963569,
        0.96942,
        0.974279,
        0.976681,
        0.972558,
        0.958862,
        0.951905,
        0.957234,
        0.959804,
        0.958733,
        0.957932,
        0.967825,
        0.961623,
        0.955146,
        0.955446,
        0.954158,
        0.960114,
        0.967809,
        0.95142,
        0.952595,
        0.947584,
        0.965207,
        0.974161,
        0.975005,
        0.973379,
        0.970005,
        0.964244,
        0.964413,
        0.97118,
        0.988655,
        0.986881,
        0.983779,
        0.983353,
        0.987704,
        0.993198,
        0.997334,
        0.994197,
        0.989975,
        0.984948,
        0.979092,
        0.980735,
        0.980576,
        0.980039,
        0.984556,
        0.983816,
        0.980459,
        0.975478,
        0.980679,
        0.983218,
        0.982892,
        0.98046,
        0.972965,
        0.972909,
        0.99276,
        0.984028,
        0.982036,
        0.988352,
        0.980329,
        0.984807,
        0.990541,
        0.98591,
        0.991197,
        0.992334,
        0.988285,
        0.999434,
        0.995992,
        0.987413,
        0.987425,
        0.991361,
        0.98714,
        0.970712,
        0.97812,
        0.990479,
        1.00034,
        0.989469,
        0.985165,
        0.982044,
        0.978246,
        0.984016,
        0.988943,
        0.992941,
        0.996103,
        0.988041,
        0.985398,
        1.00049,
        0.99845,
        0.991522,
        0.984401,
        0.997275,
        0.996636,
        0.98953,
        0.979578,
        0.979639,
        0.976842,
        0.970396,
        0.968552,
        0.975029,
        0.984107,
        0.989361,
        0.979991,
        0.980027,
        0.992846,
        0.998105,
        1.00346,
        1.00175,
        0.976794,
        0.970444,
        0.974703,
        0.988162,
        0.991374,
        0.990883,
        0.988967,
        0.990412,
        0.994315,
        0.994705,
        0.988506,
        1.00268,
        1.01315,
        1.01673,
        1.00042,
        0.994976,
        0.99372,
        0.993332,
        0.997535,
        1.00326,
        1.0089,
        1.00643,
        0.998935,
        0.991772,
        0.989824,
        1.01172,
        1.02353,
        1.0224,
        1.02728,
        1.01849,
        1.00595,
        0.999574,
        0.9944,
        1.00304,
        1.02754,
        1.04829,
        1.04289,
        1.01299,
        0.950303,
        0.878182,
        0.790687,
        0.686918,
        0.651089,
        0.659949,
        0.705346,
        0.782976,
        0.851154,
        0.905551,
        0.941559,
        0.956643,
        0.952699,
        0.945487,
        0.986334,
        0.988377,
        0.998506,
        1.04556,
        1.06714,
        1.0501,
        1.01586,
        null,
        1.04565,
        1.01479,
        0.968159,
        0.964878,
        0.977769,
        0.983142,
        1.00352,
        1.00614,
        0.988665,
        0.990517,
        0.981424,
        0.974367,
        0.989143,
        1.00967,
        1.02252,
        1.02333,
        0.996649,
        0.972791,
        0.958682,
        0.971881,
        0.992081,
        0.988236,
        0.947259,
        0.965613,
        0.966911,
        0.961828,
        0.9805,
        0.993701,
        0.996865,
        0.986056,
        0.973977,
        0.970253,
        0.974258,
        0.984707,
        0.990422,
        0.992478,
        0.99064,
        0.998815,
        0.991308,
        0.973119,
        0.980725,
        0.979223,
        0.97813,
        0.985812,
        0.994942,
        0.996933,
        0.991698,
        0.985401,
        0.980281,
        0.9807,
        0.993313,
        0.990283,
        0.983013,
        0.974373,
        0.981093,
        0.993297,
        1.00253,
        0.994024,
        0.986289,
        0.981213,
        0.979435,
        0.982908,
        0.984618,
        0.984477,
        0.981446,
        0.987259,
        0.987897,
        0.97841,
        0.975414,
        0.973373,
        0.97377,
        0.98175,
        1.00195,
        1.01256,
        1.00267,
        0.990413,
        0.985741,
        0.985605,
        0.980001,
        0.980452,
        0.983983,
        0.989633,
        0.977979,
        0.978263,
        0.987087,
        0.983122,
        0.97775,
        0.974833,
        0.978336,
        0.992648,
        0.996066,
        0.990559,
        1.00054,
        0.988384,
        0.973452,
        0.974913,
        0.989276,
        0.99313,
        0.98382,
        0.972827,
        0.97431,
        0.978965,
        0.975501,
        0.969385,
        0.964925,
        0.963246,
        0.966262,
        0.970121,
        0.972326,
        0.96765,
        0.966542,
        0.962838,
        0.955387,
        0.971166,
        0.974719,
        0.969983,
        0.962428,
        0.968421,
        0.977699,
        0.986738,
        0.961498,
        0.952818,
        0.95523,
        0.955209,
        0.968026,
        0.962222,
        0.916502,
        0.933898,
        0.950267,
        0.960213,
        0.948632,
        0.94527,
        0.947916,
        0.956912,
        0.959459,
        0.964894,
        0.971562,
        0.966921,
        0.969455,
        0.97225,
        0.96915,
        0.963463,
        0.964625,
        0.972514,
        0.979265,
        0.982526,
        0.983884,
        0.984403,
        0.982978,
        0.978529,
        0.971958,
        0.976558,
        0.980579,
        0.980803,
        0.970561,
        0.968197,
        0.973064,
        0.983783,
        0.967419,
        0.961101,
        0.962005,
        0.967821,
        0.977271,
        0.982824,
        0.982,
        0.972665,
        0.966264,
        0.96283,
        0.963745,
        0.975806,
        0.982755,
        0.977891,
        0.976457,
        0.973095,
        0.968124,
        0.962344,
        0.955953,
        0.960265,
        0.982905,
        0.975806,
        0.980706,
        0.982784,
        0.98346,
        0.982812,
        0.980456,
        0.981006,
        0.98406,
        0.990202,
        0.980933,
        0.980146,
        0.990067,
        0.994675,
        0.990238,
        0.982734,
        0.97892,
        0.979368,
        0.974033,
        0.962987,
        0.985087,
        0.988445,
        0.983024,
        0.982419,
        0.980733,
        0.973955,
        0.961554,
        0.969573,
        0.978126,
        0.985081,
        0.984721,
        0.978914,
        0.974941,
        0.975359,
        0.977121,
        0.980153,
        0.983558,
        0.984911,
        0.982102,
        0.975965,
        0.966226,
        0.971247,
        0.972985,
        0.972325,
        0.973803,
        0.975551,
        0.97634,
        0.975259,
        0.97495,
        0.972149,
        0.969043,
        0.975749,
        0.972896,
        0.966693,
        0.960492,
        0.960751,
        0.962761,
        0.965746,
        0.968061,
        0.966605,
        0.963754,
        0.961183,
        0.959291,
        0.961061,
        0.965811,
        0.965677,
        0.965963,
        0.965074,
        0.960869,
        0.966106,
        0.967794,
        0.965111,
        0.972687,
        0.971335,
        0.969307,
        0.978281,
        0.981099,
        0.976655,
        0.965343,
        0.971322,
        0.975381,
        0.961967,
        0.943247,
        0.931679,
        0.947383,
        0.961842,
        0.962106,
        0.964133,
        0.963723,
        0.963225,
        0.971671,
        0.969714,
        0.96771,
        0.971013,
        0.964411,
        0.961774,
        0.9613,
        0.952456,
        0.956124,
        0.960763,
        0.959173,
        0.965624,
        0.963453,
        0.955302,
        0.960479,
        0.9701,
        0.975244,
        0.96677,
        0.979658,
        0.98275,
        0.975017,
        0.968605,
        0.966578,
        0.969963,
        0.981452,
        0.978819,
        0.976498,
        0.976743,
        0.983788,
        0.984839,
        0.982382,
        0.978041,
        0.981011,
        0.98554,
        0.98948,
        0.977432,
        0.978145,
        0.984427,
        0.988189,
        0.98474,
        0.98171,
        0.981201,
        0.988315,
        0.985035,
        0.977797,
        0.977181,
        0.976701,
        0.972755,
        0.964322,
        0.961876,
        0.964532,
        0.972004,
        0.985122,
        0.9788,
        0.972196,
        0.97174,
        0.973976,
        0.975865,
        0.975234,
        0.965327,
        0.971255,
        0.97493,
        0.967753,
        0.982438,
        0.986507,
        0.981415,
        0.970529,
        0.972787,
        0.978262,
        0.982747,
        0.979739,
        0.965336,
        0.947764,
        0.961103,
        0.970517,
        0.974029,
        0.968775,
        0.9825,
        0.990251,
        0.990521,
        0.98263,
        0.974869,
        0.968878,
        0.966566,
        0.963531,
        0.968925,
        0.980891,
        0.98343,
        0.982944,
        0.980984,
        0.978405,
        0.970993,
        0.961054,
        0.946435,
        0.908505,
        0.897319,
        0.906427,
        0.937151,
        0.958133,
        0.967491,
        0.966322,
        0.969928,
        0.968737,
        0.970188,
        null,
        0.981359,
        0.975332,
        0.969306,
        0.963279,
        0.959883,
        0.96768,
        0.964202,
        0.966683,
        0.979369,
        0.955495,
        0.950405,
        0.953904,
        0.955794,
        0.960102,
        0.963512,
        0.965388,
        0.964477,
        0.96665,
        0.967013,
        0.962882,
        0.961679,
        0.959659,
        0.958336,
        0.960634,
        0.964511,
        0.967953,
        0.972659,
        0.993206,
        0.982471,
        0.968695,
        0.97206,
        0.984436,
        0.98923,
        0.986721,
        0.976949,
        0.976275,
        0.972697,
        0.964159,
        0.96307,
        0.96758,
        0.969242,
        0.959243,
        0.948313,
        0.9595,
        0.975057,
        0.929943,
        0.937769,
        0.957052,
        0.973729,
        0.971217,
        0.967597,
        0.963448,
        0.959379,
        0.968701,
        0.967681,
        0.957164,
        0.952374,
        0.960223,
        0.968851,
        0.972423,
        0.979162,
        0.972158,
        0.963109,
        0.97247,
        0.96129,
        0.968667,
        0.992141,
        0.971271,
        0.959217,
        0.954631,
        0.957759,
        0.967429,
        0.969996,
        0.968219,
        0.967489,
        0.970022,
        0.975782,
        0.983173,
        0.978689,
        0.96972,
        0.966515,
        0.977951,
        0.981152,
        0.974648,
        0.963818,
        0.962767,
        0.95415,
        0.954014,
        0.966359,
        0.976898,
        0.97308,
        0.966742,
        0.968835,
        0.970908,
        0.958708,
        0.937292,
        0.924929,
        0.906556,
        0.902307,
        0.919011,
        0.938779,
        0.950028,
        0.957541,
        0.966019,
        0.967394,
        0.968551,
        0.968224,
        0.957885,
        0.961272,
        0.963124,
        0.957396,
        0.971052,
        0.97738,
        0.971174,
        0.942398,
        0.955084,
        0.958412,
        0.951338,
        0.959638,
        0.959547,
        0.958603,
        0.960488,
        0.962758,
        0.966335,
        0.967861,
        0.961176,
        0.967056,
        0.963937,
        0.954622,
        0.973217,
        0.970999,
        0.963919,
        0.960661,
        0.970312,
        0.970694,
        0.966416,
        0.966185,
        0.959718,
        0.952653,
        0.948473,
        0.963374,
        0.970211,
        0.972032,
        0.970266,
        0.958745,
        0.960447,
        0.969558,
        0.975128,
        0.969209,
        0.965197,
        0.965636,
        0.967166,
        0.967909,
        0.971687,
        0.981582,
        0.976384,
        0.97223,
        0.967435,
        0.956551,
        0.953561,
        0.954571,
        0.959318,
        0.972808,
        0.970626,
        0.966028,
        0.96892,
        0.97655,
        0.981812,
        0.979472,
        0.956466,
        0.958078,
        0.965036,
        0.973517,
        0.989093,
        0.973746,
        0.956836,
        0.961771,
        0.960098,
        0.96334,
        0.967281,
        0.960508,
        0.97321,
        0.976838,
        0.965914,
        0.967345,
        0.972445,
        0.971171,
        0.953982,
        0.965072,
        0.970328,
        0.971375,
        0.975191,
        0.975893,
        0.973572,
        0.968326,
        0.963394,
        0.96072,
        0.963179,
        0.973999,
        0.976674,
        0.975732,
        0.973576,
        0.975539,
        0.979104,
        0.976093,
        0.966288,
        0.969968,
        0.980643,
        0.989863,
        0.990158,
        0.985301,
        0.990794,
        0.998719,
        0.986447,
        0.984452,
        0.982611,
        0.980971,
        1.00726,
        1.01212,
        1.01257,
        1.02141,
        1.00488,
        0.982563,
        0.94536,
        0.867051,
        0.806641,
        0.775204,
        0.777306,
        0.826711,
        0.868765,
        0.904682,
        0.93427,
        0.94261,
        0.94988,
        0.955628,
        0.95738,
        0.974235,
        0.979271,
        0.969681,
        0.970566,
        0.968973,
        0.953363,
        0.967352,
        0.976222,
        0.978932,
        0.968477,
        0.955476,
        0.960036,
        0.952551,
        0.945031,
        0.941552,
        0.954426,
        0.95518,
        0.955352,
        0.961399,
        0.967454,
        0.967578,
        0.963586,
        0.958043,
        0.964755,
        0.971935,
        0.974651,
        0.955365,
        0.950053,
        0.953859,
        0.964435,
        0.957417,
        0.963986,
        0.968154,
        0.946093,
        0.947265,
        0.945515,
        0.942631,
        0.960819,
        0.965711,
        0.965259,
        0.962465,
        0.953925,
        0.956373,
        0.965785,
        0.978204,
        0.976045,
        0.973233,
        0.970329,
        0.964407,
        0.952651,
        0.95067,
        0.96334,
        0.964243,
        0.971963,
        0.975552,
        0.963443,
        0.957558,
        0.949875,
        0.945948,
        0.96413,
        0.96363,
        0.958347,
        0.952493,
        0.949186,
        0.954232,
        0.957382,
        0.949928,
        0.953917,
        0.955488,
        0.95587,
        0.959215,
        0.948186,
        0.93993,
        0.937571,
        0.935897,
        0.943786,
        0.947349,
        0.936841,
        0.954964,
        0.963564,
        0.962121,
        0.948103,
        0.952045,
        0.95542,
        0.956105,
        0.959407,
        0.95663,
        0.951661,
        0.946514,
        0.959735,
        0.966145,
        0.965924,
        0.958164,
        0.952667,
        0.943218,
        0.935062,
        0.952259,
        0.959491,
        0.961099,
        0.958466,
        0.95261,
        0.942683,
        0.935828,
        0.940361,
        0.948486,
        0.954165,
        0.955692,
        0.949073,
        0.950411,
        0.94803,
        0.940514,
        0.949551,
        0.953807,
        0.95283,
        0.945505,
        0.955507,
        0.959718,
        0.961415,
        0.969653,
        0.960591,
        0.950866,
        0.944753,
        0.946579,
        0.951168,
        0.956025,
        0.959567,
        0.950187,
        0.94536,
        0.947223,
        0.960375,
        0.965554,
        0.969355,
        0.971796,
        0.969369,
        0.966996,
        0.96373,
        0.959301,
        0.958239,
        0.957052,
        0.954626,
        0.949426,
        0.94954,
        0.951096,
        0.95208,
        0.946898,
        0.942043,
        0.949519,
        0.969883,
        0.963857,
        0.96425,
        0.964423,
        0.959205,
        0.95444,
        0.94791,
        0.94538,
        0.960221,
        0.95101,
        0.95152,
        0.963653,
        0.960151,
        0.963591,
        0.964341,
        0.95769,
        0.96743,
        0.963155,
        0.957919,
        0.969826,
        0.968347,
        0.967106,
        0.966035,
        0.959778,
        0.95252,
        0.94896,
        0.951333,
        0.964616,
        0.9599,
        0.952361,
        0.955303,
        0.956346,
        0.957281,
        0.956335,
        0.949037,
        0.949551,
        0.956581,
        0.966828,
        0.959695,
        0.95087,
        0.943563,
        0.940052,
        0.95982,
        0.965121,
        0.962111,
        0.957942,
        0.966919,
        0.959433,
        0.94358,
        0.964974,
        0.957699,
        0.950237,
        0.952471,
        0.951758,
        0.955647,
        0.957883,
        0.952135,
        0.962766,
        0.959805,
        0.950502,
        0.95663,
        0.954822,
        0.960538,
        0.973983,
        0.973088,
        0.972475,
        0.964431,
        0.944458,
        0.958637,
        0.961068,
        0.959765,
        0.966627,
        0.957889,
        0.948728,
        0.943826,
        0.955358,
        0.954534,
        0.95095,
        0.949728,
        0.971937,
        0.961014,
        0.946246,
        0.953784,
        0.949777,
        0.958831,
        0.970774,
        0.961677,
        0.967578,
        0.964107,
        0.950856,
        0.954319,
        0.965088,
        0.974414,
        0.97722,
        0.965635,
        0.956256,
        0.953225,
        0.962467,
        0.968669,
        0.967086,
        0.962351,
        0.970487,
        0.96644,
        0.969713,
        0.982938,
        0.970493,
        0.964454,
        0.959412,
        0.951608,
        0.956262,
        0.958709,
        0.962418,
        0.974358,
        0.977346,
        0.97872,
        0.980588,
        0.987145,
        0.9849,
        0.980067,
        0.975002,
        0.969331,
        0.964062,
        0.964503,
        0.976245,
        0.973269,
        0.970428,
        0.968425,
        0.967057,
        0.965232,
        0.959183,
        0.951506,
        0.963415,
        0.972348,
        0.973594,
        0.96457,
        0.969288,
        0.979068,
        0.981055,
        0.956922,
        0.96574,
        0.975796,
        0.983709,
        0.988756,
        0.97382,
        0.968355,
        0.976853,
        0.970891,
        0.973036,
        0.973945,
        0.967042,
        0.970954,
        0.962442,
        0.952443,
        0.957415,
        0.960451,
        0.966975,
        0.974479,
        0.969976,
        0.97835,
        0.977849,
        0.9649,
        0.984364,
        0.982342,
        0.974082,
        0.971752,
        0.974165,
        0.972779,
        0.965961,
        0.950316,
        0.963963,
        0.969413,
        0.965997,
        0.97484,
        0.973608,
        0.973416,
        0.978302,
        0.973721,
        0.97005,
        0.968471,
        0.970329,
        0.983802,
        0.975526,
        0.959781,
        0.972618,
        0.968574,
        0.969622,
        0.977478,
        0.977528,
        0.971971,
        0.966939,
        0.9655,
        0.978374,
        0.978422,
        0.970417,
        0.958849,
        0.959168,
        0.959463,
        0.961101,
        0.969678,
        0.965778,
        0.965673,
        0.971107,
        0.97295,
        0.962505,
        0.955978,
        0.961768,
        0.946546,
        0.927304,
        0.910881,
        0.905942,
        0.917136,
        0.936954,
        0.958914,
        0.968264,
        0.962009,
        0.959357,
        0.961694,
        0.951364,
        0.950429,
        0.957525,
        0.972204,
        0.977664,
        0.971542,
        0.961697,
        0.957368,
        0.953492,
        0.951547,
        0.95192,
        0.955664,
        0.956571,
        0.957013,
        0.959144,
        0.974845,
        0.966827,
        0.953037,
        0.943772,
        0.95053,
        0.95626,
        0.957958,
        0.951224,
        0.954903,
        0.953772,
        0.953533,
        0.972828,
        0.956388,
        0.945241,
        0.946654,
        0.947918,
        0.948565,
        0.952199,
        0.96067,
        0.970312,
        0.966942,
        0.961357,
        0.966888,
        0.969333,
        0.968714,
        0.965735,
        0.961993,
        0.961798,
        0.960275,
        0.957483,
        0.961128,
        0.955906,
        0.955526,
        0.966315,
        0.962057,
        0.960829,
        0.96457,
        0.976053,
        0.965935,
        0.962596,
        0.965506,
        0.970752,
        0.965358,
        0.970021,
        0.9828,
        0.974275,
        0.960943,
        0.951472,
        0.949694,
        0.954797,
        0.952459,
        0.950489,
        0.955847,
        0.967412,
        0.962178,
        0.950565,
        0.954098,
        0.96618,
        0.969403,
        0.964479,
        0.972737,
        0.967463,
        0.962277,
        0.962984,
        0.968269,
        0.970222,
        0.964607,
        0.946617,
        0.970073,
        0.979729,
        0.956866,
        0.954365,
        0.958974,
        0.949209,
        0.954971,
        0.960543,
        0.964196,
        0.964918,
        0.973138,
        0.977381,
        0.974758,
        0.964199,
        0.959621,
        0.960815,
        0.967347,
        0.958678,
        0.954856,
        0.957917,
        0.970996,
        0.964107,
        0.961424,
        0.962474,
        0.963672,
        0.957652,
        0.953658,
        0.952901,
        0.952848,
        0.96331,
        0.967273,
        0.958172,
        0.951455,
        0.947919,
        0.947474,
        0.950423,
        0.953173,
        0.962062,
        0.971121,
        0.968724,
        0.968224,
        0.970579,
        0.973968,
        0.971272,
        0.969467,
        0.965226,
        0.957706,
        0.948059,
        0.947174,
        0.955169,
        0.972425,
        0.973611,
        0.972974,
        0.971189,
        0.968948,
        0.960653,
        0.956026,
        0.956341,
        0.96364,
        0.963121,
        0.964581,
        0.968541,
        0.964594,
        0.969931,
        0.968681,
        0.955933,
        0.958806,
        0.959348,
        0.959627,
        0.961339,
        0.966992,
        0.9718,
        0.971764,
        0.959218,
        0.972694,
        0.983427,
        0.985085,
        0.967722,
        0.970808,
        0.978531,
        0.98565,
        0.985197,
        0.989594,
        0.993399,
        0.99274,
        0.954493,
        0.905117,
        0.857167,
        0.825888,
        0.834999,
        0.863285,
        0.900416,
        0.926616,
        0.925414,
        0.9279,
        0.939331,
        0.961035,
        0.969694,
        0.97196,
        0.970779,
        0.976137,
        0.978207,
        0.975276,
        0.966011,
        0.965502,
        0.966597,
        0.967631,
        0.966304,
        0.964563,
        0.963954,
        0.964978,
        0.968897,
        0.971933,
        0.968275,
        0.958743,
        0.954377,
        0.957937,
        0.961486,
        0.961779,
        0.961517,
        0.958133,
        0.95675,
        0.962255,
        0.975359,
        0.974695,
        0.96539,
        0.954661,
        0.956244,
        0.957261,
        0.954729,
        0.943181,
        0.954259,
        0.95805,
        0.950029,
        0.952509,
        0.959459,
        0.957303,
        0.940519,
        0.951987,
        0.964358,
        0.972418,
        0.970943,
        0.975107,
        0.964058,
        0.95014,
        0.955877,
        0.968217,
        0.971627,
        0.966244,
        0.96,
        0.966783,
        0.971906,
        0.971877,
        0.969317,
        0.971809,
        0.981972,
        1.00062,
        0.994846,
        0.987547,
        0.98062,
        0.975926,
        0.965358,
        0.967491,
        0.975117,
        0.973745,
        0.976351,
        0.969846,
        0.954247,
        0.934197,
        0.945247,
        0.961946,
        0.976018,
        0.981552,
        0.969756,
        0.941245,
        0.898558,
        0.942676,
        0.965328,
        0.977144,
        0.989011,
        0.976367,
        0.967388,
        0.936957,
        0.915626,
        0.953272,
        0.969528,
        0.963095,
        0.94661,
        0.956336,
        0.944514,
        0.939635,
        0.943538,
        0.929334,
        0.959179,
        0.982075,
        0.976232,
        0.962654,
        0.936549,
        0.930704,
        0.971453,
        0.995701,
        1.0016,
        0.99574,
        null,
        0.983376,
        0.975802,
        0.958391,
        0.971993,
        0.983325,
        0.965347,
        0.946084,
        0.937607,
        0.938808,
        0.94849,
        0.975018,
        0.98089,
        0.972664,
        0.972211,
        0.959482,
        0.956344,
        0.961555,
        0.952631,
        0.94309,
        0.941976,
        0.950941,
        0.956897,
        0.962493,
        0.964387,
        0.961255,
        0.975406,
        0.981552,
        0.977137,
        0.958798,
        0.973777,
        0.963359,
        0.946613,
        0.955729,
        0.961788,
        0.969783,
        0.975815,
        0.967885,
        0.963512,
        0.963836,
        0.968432,
        0.974554,
        0.959336,
        0.944015,
        0.937824,
        0.952143,
        0.960595,
        0.964549,
        0.965103,
        0.9765,
        0.970004,
        0.960457,
        0.963502,
        0.976392,
        0.980297,
        0.976925,
        0.970214,
        0.969012,
        0.971499,
        0.973298,
        0.961833,
        0.969907,
        0.969784,
        0.960313,
        0.971189,
        0.9639,
        0.961736,
        0.972902,
        0.977736,
        0.978381,
        0.97955,
        0.983954,
        0.978046,
        0.972544,
        0.967097,
        0.961323,
        0.978343,
        0.978123,
        0.969915,
        0.973272,
        0.976961,
        0.978635,
        0.977462,
        0.971511,
        0.979526,
        0.990829,
        1.00017,
        0.993665,
        0.985014,
        0.976961,
        0.971311,
        0.975231,
        0.981401,
        0.989676,
        0.999524,
        0.98494,
        0.988053,
        0.994119,
        0.9886,
        0.985844,
        0.990741,
        0.993776,
        0.978566,
        0.979324,
        0.984775,
        0.98959,
        0.983049,
        0.996763,
        1.00243,
        0.995816,
        0.983259,
        0.971649,
        0.969945,
        0.978694,
        0.978765,
        0.975112,
        0.975547,
        0.983184,
        0.978105,
        0.978636,
        0.982593,
        0.988463,
        0.98082,
        0.978842,
        0.975093,
        0.9589,
        0.958331,
        0.967227,
        0.976529,
        0.967968,
        0.970406,
        0.964672,
        0.95284,
        0.950154,
        0.951513,
        0.960628,
        0.973769,
        0.962627,
        0.962374,
        0.962155,
        0.959608,
        0.977067,
        0.975866,
        0.97133,
        0.972699,
        0.971964,
        0.968373,
        0.962927,
        0.956588,
        0.956675,
        0.959559,
        0.958329,
        0.941563,
        0.921774,
        0.909344,
        0.911103,
        0.942003,
        0.95576,
        0.967226,
        0.977333,
        0.979584,
        0.976512,
        0.970457,
        0.962549,
        0.95654,
        0.962313,
        0.967675,
        0.966928,
        0.961555,
        0.961285,
        0.96006,
        0.953658,
        0.950461,
        0.95128,
        0.9573,
        0.970342,
        0.960552,
        0.955364,
        0.955938,
        0.963037,
        0.966859,
        0.968861,
        0.969297,
        0.968196,
        0.96161,
        0.957922,
        0.956874,
        0.951893,
        0.9459,
        0.95191,
        0.969098,
        0.968343,
        0.968795,
        0.968468,
        0.966905,
        0.969345,
        0.974957,
        0.981312,
        0.986647,
        0.982342,
        0.977845,
        0.971712,
        0.962336,
        0.960646,
        0.966508,
        0.97403,
        0.974327,
        0.97656,
        0.977513,
        0.973516,
        0.956088,
        0.959928,
        0.962283,
        0.960324,
        0.956622,
        0.962618,
        0.958669,
        0.944975,
        0.949412,
        0.963381,
        0.956962,
        0.97357,
        0.975145,
        0.971875,
        0.969448,
        0.976765,
        0.97015,
        0.969625,
        0.971234,
        0.959453,
        0.962015,
        0.964218,
        0.965003,
        0.971432,
        0.9558,
        0.951616,
        0.964118,
        0.969128,
        0.964086,
        0.95922,
        0.958822,
        0.963248,
        0.96708,
        0.965442,
        0.955934,
        0.95906,
        0.965784,
        0.969187,
        0.963272,
        0.957249,
        0.971142,
        0.983301,
        0.964997,
        0.953148,
        0.959036,
        0.972786,
        0.977171,
        0.964362,
        0.959455,
        0.962309,
        0.965716,
        0.974285,
        0.974116,
        0.964077,
        0.948691,
        0.94594,
        0.951133,
        0.960355,
        0.959267,
        0.965521,
        0.963991,
        0.952593,
        0.968571,
        0.972965,
        0.972153,
        0.969419,
        0.962796,
        0.962669,
        0.961771,
        0.954489,
        0.961149,
        0.963408,
        0.962359,
        0.958849,
        0.952225,
        0.955086,
        0.959784,
        0.953236,
        0.938507,
        0.937586,
        0.947982,
        0.961083,
        0.961548,
        0.954261,
        0.945332,
        0.951345,
        0.945682,
        0.950244,
        0.963698,
        0.969618,
        0.966665,
        0.959838,
        0.95322,
        0.962894,
        0.969211,
        0.969733,
        0.961609,
        0.965282,
        0.968434,
        0.968724,
        0.96323,
        0.977218,
        0.972169,
        0.959462,
        0.969266,
        0.967826,
        0.962925,
        0.956713,
        0.952069,
        0.954585,
        0.957787,
        0.959516,
        0.956694,
        0.954422,
        0.953176,
        0.955031,
        0.970385,
        0.976677,
        0.971965,
        0.958039,
        0.960412,
        0.953973,
        0.95059,
        0.956463,
        0.962867,
        0.965712,
        0.964688,
        0.959453,
        0.957372,
        0.960352,
        0.964424,
        0.966059,
        0.952129,
        0.957546,
        0.973274,
        0.988578,
        0.985499,
        0.980864,
        0.974711,
        0.965342,
        0.958681,
        0.953009,
        0.94943,
        0.950762,
        0.962696,
        0.963362,
        0.953929,
        0.946863,
        0.946628,
        0.944595,
        0.943768,
        0.963605,
        0.970065,
        0.979486,
        0.98875,
        0.955275,
        0.945766,
        0.947029,
        0.955525,
        0.977734,
        0.962047,
        0.941394,
        0.93064,
        0.919356,
        0.972383,
        1.01864,
        1.01126,
        null,
        0.994824,
        1.01397,
        1.0102,
        1.01034,
        1.02808,
        1.00375,
        0.981346,
        0.9753,
        0.98481,
        0.999069,
        0.983925,
        0.989338,
        0.989261,
        0.96504,
        0.974075,
        0.978329,
        0.982624,
        0.988463,
        0.995373,
        1.00008,
        1.00674,
        1.00583,
        0.988981,
        1.01778,
        1.04368,
        1.02631,
        0.970268,
        0.961141,
        null,
        1.03672,
        1.01339,
        0.97028,
        0.954079,
        0.98534,
        1.04506,
        1.03454,
        1.02176,
        1.01756,
        1.01707,
        1.02614,
        1.04708,
        1.05466,
        1.03362,
        1.02073,
        1.00763,
        1.00217,
        1.00614,
        1.01801,
        1.00806,
        1.01452,
        1.04799,
        1.10526,
        1.03127,
        null,
        0.999581,
        1.0203,
        1.02865,
        0.973386,
        0.978909,
        1.02348,
        1.02963,
        0.987681,
        0.977431,
        1.00736,
        1.03558,
        1.01333,
        0.980994,
        0.963198,
        0.970131,
        0.978822,
        0.996126,
        1.01217,
        1.01624,
        0.992083,
        0.974136,
        0.982967,
        1.00792,
        1.0326,
        1.00469,
        1.0059,
        1.01442,
        1.01368,
        0.979534,
        0.996204,
        1.0117,
        1.01773,
        1.01335,
        1.0105,
        1.01592,
        1.02338,
        1.02644,
        1.01363,
        0.979192,
        0.961278,
        0.970647,
        1.00199,
        0.989493,
        0.97888,
        0.974881,
        0.97666,
        0.976477,
        0.997021,
        1.01707,
        1.0224,
        1.00046,
        0.98394,
        0.989884,
        1.00035,
        0.969486,
        1.01475,
        1.01276,
        0.996365,
        1.0052,
        1.0499,
        1.01326,
        0.982242,
        0.986835,
        0.991352,
        0.974597,
        0.995305,
        1.02967,
        1.0192,
        0.990781,
        0.992309,
        1.00367,
        1.01038,
        1.04102,
        1.00731,
        1.00587,
        1.03616,
        0.992067,
        0.992369,
        0.993662,
        0.99968,
        1.02328,
        0.989785,
        0.970989,
        null,
        1.0152,
        0.988522,
        1.0511,
        1.01979,
        0.997261,
        0.981253,
        0.943569,
        0.897796,
        0.922973,
        0.968311,
        0.989734,
        0.983584,
        0.955772,
        0.95981,
        0.994007,
        0.973336,
        0.953186,
        0.949245,
        0.961576,
        0.9847,
        0.939144,
        0.95445,
        0.964162,
        0.97495,
        0.970885,
        0.982685,
        0.993361,
        0.985695,
        0.989054,
        0.993141,
        0.978538,
        0.947338,
        0.958014,
        0.965176,
        0.957567,
        0.948299,
        0.971123,
        0.963881,
        0.96756,
        0.9809,
        0.997266,
        0.984753,
        0.994864,
        0.997449,
        0.980237,
        0.97721,
        0.975727,
        0.975337,
        0.977622,
        0.987494,
        0.976891,
        0.97974,
        0.98769,
        0.984342,
        0.975912,
        0.972187,
        0.971308,
        0.972751,
        0.982457,
        0.984143,
        0.976061,
        0.967662,
        0.992813,
        0.995795,
        0.992945,
        0.989365,
        0.989098,
        0.985783,
        0.986174,
        0.987601,
        0.986466,
        0.970233,
        0.9625,
        0.956471,
        0.950123,
        0.947397,
        0.958046,
        0.980699,
        0.99743,
        0.972824,
        0.975716,
        0.974401,
        0.966852,
        0.954193,
        0.97367,
        0.980756,
        0.989304,
        1.00268,
        0.996445,
        0.982114,
        0.970119,
        0.965999,
        0.976753,
        0.9748,
        0.980514,
        0.985393,
        0.975566,
        0.997518,
        0.99051,
        0.977716,
        0.974439,
        0.967015,
        0.96088,
        0.967622,
        0.984193,
        0.985978,
        0.981006,
        0.978146,
        0.975881,
        0.968842,
        0.973733,
        0.975704,
        0.975514,
        0.97493,
        0.983453,
        0.983716,
        0.979142,
        0.974679,
        0.987092,
        0.981775,
        0.979735,
        0.985465,
        0.997767,
        0.99018,
        0.980218,
        0.968714,
        0.954899,
        0.97163,
        0.964694,
        0.957343,
        0.964136,
        0.976024,
        0.988359,
        0.983908,
        0.968305,
        0.983425,
        0.98125,
        0.980029,
        0.979203,
        0.97307,
        0.961302,
        0.960479,
        0.968825,
        0.981414,
        0.965493,
        0.957956,
        0.960995,
        0.973027,
        0.982444,
        0.974697,
        0.961022,
        0.947461,
        0.945273,
        0.954365,
        0.959101,
        0.965866,
        0.96882,
        0.966773,
        0.963953,
        0.975366,
        0.972126,
        0.962363,
        0.972399,
        0.965132,
        0.968223,
        0.97655,
        0.982453,
        0.971033,
        0.962244,
        0.961484,
        0.970568,
        0.981908,
        0.97771,
        0.972437,
        0.971245,
        0.975299,
        0.980324,
        0.982004,
        0.981805,
        0.982985,
        0.974289,
        0.963267,
        0.961415,
        0.976704,
        0.975801,
        0.977883,
        0.974499,
        0.962912,
        0.950487,
        0.958234,
        0.967578,
        0.970523,
        0.959551,
        0.968899,
        0.967643,
        0.961494,
        0.963488,
        0.964999,
        0.961529,
        0.960844,
        0.968244,
        0.968672,
        0.966156,
        0.963612,
        0.961057,
        0.952243,
        0.952266,
        0.952987,
        0.946494,
        0.953734,
        0.959669,
        0.964702,
        0.963613,
        0.959484,
        0.955612,
        0.962408,
        0.970107,
        0.973141,
        0.970752,
        0.967933,
        0.960981,
        0.962045,
        0.963115,
        0.940617,
        0.954815,
        0.959484,
        0.958217,
        0.959066,
        0.958164,
        0.961456,
        0.963713,
        0.96104,
        0.949455,
        0.963956,
        0.970166,
        0.959518,
        0.954993,
        0.959973,
        0.963364,
        0.962132,
        0.95418,
        0.956437,
        0.964779,
        0.969015,
        0.958319,
        0.971006,
        0.964192,
        0.959191,
        0.969785,
        0.969476,
        0.971458,
        0.971746,
        0.969303,
        0.966459,
        0.967753,
        0.970414,
        0.972882,
        0.972993,
        0.957352,
        0.956987,
        0.966427,
        0.974521,
        0.969784,
        0.976106,
        0.979588,
        0.971783,
        0.97836,
        0.969045,
        0.963646,
        0.968808,
        0.970717,
        0.973908,
        0.974161,
        0.973196,
        0.97788,
        0.973649,
        0.971338,
        0.973961,
        0.98425,
        0.977681,
        0.977832,
        0.981604,
        0.986232,
        0.996716,
        0.971981,
        0.960973,
        0.982999,
        0.986887,
        0.984299,
        0.981578,
        0.980692,
        0.982171,
        0.980666,
        0.979517,
        0.97989,
        0.983033,
        0.996391,
        0.998303,
        0.998578,
        1.00722,
        1.00605,
        0.991691,
        0.974528,
        0.959623,
        0.932195,
        0.925557,
        0.908136,
        0.882763,
        0.903482,
        0.920032,
        0.925715,
        0.927553,
        0.943835,
        0.949405,
        0.962367,
        0.983828,
        1.01274,
        0.992007,
        0.976534,
        0.967888,
        0.967036,
        0.972836,
        0.971736,
        0.971253,
        0.973584,
        0.971063,
        0.977004,
        0.972477,
        0.959909,
        0.962652,
        0.963311,
        0.964672,
        0.968897,
        0.978919,
        0.968901,
        0.966098,
        0.962032,
        0.947562,
        0.950947,
        0.962575,
        0.971801,
        0.9725,
        0.974423,
        0.967068,
        0.963226,
        0.963365,
        0.952335,
        0.958102,
        0.96193,
        0.963892,
        0.9728,
        0.975681,
        0.963796,
        0.953417,
        0.96916,
        0.979923,
        0.978697,
        0.970709,
        0.962731,
        0.974766,
        0.966514,
        0.960077,
        0.963819,
        0.962226,
        0.96693,
        0.968249,
        0.964555,
        0.960196,
        0.954944,
        0.957915,
        0.964281,
        0.960959,
        0.954275,
        0.953958,
        0.959126,
        0.96755,
        0.965513,
        0.971927,
        0.981149,
        0.986514,
        0.968749,
        0.969864,
        0.964947,
        0.951559,
        0.973221,
        0.9908,
        0.99459,
        0.984248,
        0.966305,
        0.9617,
        0.957461,
        0.95468,
        0.958741,
        0.97126,
        0.982231,
        0.985807,
        0.976351,
        0.974106,
        0.974134,
        0.9722,
        0.965544,
        0.959154,
        0.962147,
        0.97385,
        0.988769,
        0.977804,
        0.986108,
        0.983597,
        0.968511,
        0.962691,
        0.976658,
        0.971688,
        0.958397,
        0.969554,
        0.963223,
        0.976359,
        0.991953,
        0.98614,
        0.983987,
        0.984362,
        0.978133,
        0.960719,
        0.970033,
        0.965859,
        0.957303,
        0.952302,
        0.971417,
        0.971827,
        0.97023,
        0.971503,
        0.974706,
        0.967593,
        0.972404,
        0.98098,
        0.96805,
        0.956367,
        0.952253,
        0.956275,
        0.968308,
        0.983952,
        0.988332,
        0.9834,
        0.97145,
        0.957074,
        0.951456,
        0.950886,
        0.955183,
        0.976921,
        0.956656,
        0.949712,
        0.965034,
        0.967168,
        0.974706,
        0.967414,
        0.951649,
        0.950455,
        0.946932,
        0.948931,
        0.952062,
        0.949141,
        0.968292,
        0.971479,
        0.965301,
        0.956883,
        0.950749,
        0.960454,
        0.966232,
        0.959875,
        0.966415,
        0.962636,
        0.956016,
        0.951568,
        0.961234,
        0.95018,
        0.947773,
        0.954962,
        0.951779,
        0.956372,
        0.95838,
        0.956547,
        0.9513,
        0.955336,
        0.954533,
        0.956147,
        0.969055,
        0.967761,
        0.964347,
        0.9623,
        0.963563,
        0.960153,
        0.959639,
        0.95948,
        0.959115,
        0.963404,
        0.973849,
        0.970011,
        0.952031,
        0.948685,
        0.95722,
        0.958897,
        0.956898,
        0.967718,
        0.967777,
        0.969674,
        0.969019,
        0.957558,
        0.972377,
        0.977433,
        0.978396,
        0.982538,
        0.97594,
        0.962481,
        0.955811,
        0.962803,
        0.948283,
        0.947235,
        0.952177,
        0.95745,
        0.950935,
        0.959801,
        0.963705,
        0.95779,
        0.946051,
        0.952737,
        0.96387,
        0.968775,
        0.949216,
        0.943414,
        0.940115,
        0.941491,
        0.95211,
        0.955888,
        0.953294,
        0.948009,
        0.944447,
        0.960733,
        0.957813,
        0.949369,
        0.943805,
        0.924711,
        0.934159,
        0.943951,
        0.945764,
        0.964541,
        0.963,
        0.959718,
        0.957996,
        0.947195,
        0.94149,
        0.941395,
        0.944308,
        0.944177,
        0.937019,
        0.938302,
        0.943778,
        0.94374,
        0.938688,
        0.935709,
        0.937702,
        0.946868,
        0.942294,
        0.949557,
        0.953139,
        0.942731,
        0.937715,
        0.935945,
        0.93844,
        0.945251,
        0.953208,
        0.953341,
        0.947775,
        0.938579,
        0.932702,
        0.935579,
        0.938004,
        0.939644,
        0.945355,
        0.934536,
        0.928244,
        0.929851,
        0.940756,
        0.94896,
        0.942082,
        0.927506,
        0.915705,
        0.925138,
        0.923246,
        0.925285,
        0.944839,
        0.951816,
        0.957637,
        0.959184,
        0.955192,
        0.951145,
        0.953421,
        0.949353,
        0.937724,
        0.944213,
        0.948871,
        0.947712,
        0.942944,
        0.946074,
        0.937513,
        0.941833,
        0.952931,
        0.944796,
        0.935829,
        0.942279,
        0.951586,
        0.938483,
        0.941217,
        0.947617,
        0.951436,
        0.946601,
        0.938056,
        0.938068,
        0.940293,
        0.938821,
        0.929995,
        0.937035,
        0.944199,
        0.944269,
        0.954856,
        0.954253,
        0.955496,
        0.958938,
        0.936872,
        0.924315,
        0.932605,
        0.953233,
        0.945134,
        0.940508,
        0.94244,
        0.942481,
        0.917637,
        0.92336,
        0.926734,
        0.927994,
        0.933765,
        0.937324,
        0.929966,
        0.921779,
        0.925337,
        0.93439,
        0.928239,
        0.919191,
        0.919744,
        0.943935,
        0.945866,
        0.940168,
        0.935432,
        0.930033,
        0.934003,
        0.939929,
        0.942715,
        0.930741,
        0.930232,
        0.92889,
        0.927044,
        0.94096,
        0.928902,
        0.9221,
        0.923852,
        0.923784,
        0.918049,
        0.931425,
        0.938431,
        0.921398,
        0.901141,
        0.902344,
        0.91544,
        0.931681,
        0.92233,
        0.920466,
        0.919339,
        0.916615,
        0.915279,
        0.912341,
        0.915904,
        0.927449,
        0.943007,
        0.940769,
        0.932347,
        0.92351,
        0.922854,
        0.919041,
        0.919718,
        0.919135,
        0.903526,
        0.907343,
        0.909959,
        0.915577,
        0.932591,
        0.926929,
        0.919954,
        0.913176,
        0.908002,
        0.933783,
        0.942148,
        0.937185,
        0.924082,
        0.92972,
        0.923413,
        0.918794,
        0.922938,
        0.916593,
        0.915507,
        0.91568,
        0.917032,
        0.929768,
        0.928734,
        0.930076,
        0.934501,
        0.922142,
        0.933477,
        0.939054,
        0.933785,
        0.923417,
        0.935811,
        0.93949,
        0.931393,
        0.916286,
        0.903179,
        0.909868,
        0.926616,
        0.932892,
        0.919607,
        0.91457,
        0.914646,
        0.913646,
        0.917148,
        0.913222,
        0.915283,
        0.936216,
        0.923708,
        0.926038,
        0.936848,
        0.921375,
        0.930103,
        0.933079,
        0.929971,
        0.922567,
        0.917703,
        0.920293,
        0.91762,
        0.913331,
        0.922375,
        0.904895,
        0.909145,
        0.925192,
        0.923665,
        0.934402,
        0.936966,
        0.931692,
        0.921802,
        0.913165,
        0.915495,
        0.920502,
        0.918114,
        0.922792,
        0.928168,
        0.93155,
        0.930393,
        0.921285,
        0.910359,
        0.906564,
        0.91437,
        0.90933,
        0.916098,
        0.933002,
        0.951401,
        0.91094,
        0.913874,
        0.917687,
        0.905936,
        0.886332,
        0.898335,
        0.909929,
        0.911114,
        0.905704,
        0.913081,
        0.911826,
        0.912107,
        0.965536,
        0.943021,
        0.932359,
        0.939212,
        0.933632,
        0.943903,
        0.95189,
        0.940377,
        0.877699,
        0.936928,
        0.829806,
        0.863942,
        0.862164,
        0.880313,
        0.87904,
        0.866447,
        0.910455,
        0.877484,
        0.845779,
        0.838806,
        0.877751,
        0.905119,
        0.906024,
        0.890347,
        0.88827,
        0.887852,
        0.875756,
        0.857517,
        0.845698,
        0.871075,
        0.879406,
        0.873598,
        0.863367
    ],
    "flux_error": [
        0.00466664,
        0.00451646,
        0.00436335,
        0.00420694,
        0.00406687,
        0.00403592,
        0.00405616,
        0.00427062,
        0.00434297,
        0.00442463,
        0.00485375,
        0.00464167,
        0.00456633,
        0.00485689,
        0.00503903,
        0.00495416,
        0.00482829,
        0.00453906,
        0.00448942,
        0.00439551,
        0.00439705,
        0.00448516,
        0.00479121,
        0.00508037,
        0.00545151,
        0.00543004,
        0.00516045,
        0.00504076,
        0.00540777,
        0.00532267,
        0.00510621,
        0.00504328,
        0.00520013,
        0.00516811,
        0.00493746,
        0.00588919,
        0.00670898,
        0.00662387,
        0.0063998,
        0.00702773,
        0.00817505,
        0.00875671,
        0.010779,
        0.0124185,
        0.0140025,
        0.0163114,
        0.0185138,
        0.0144702,
        0.0111071,
        0.0100352,
        0.00875641,
        0.00686616,
        0.0066693,
        0.00677457,
        0.00653958,
        0.00616461,
        0.00559054,
        0.0052791,
        0.00521003,
        0.0049777,
        0.00470844,
        0.00504157,
        0.00511928,
        0.00477184,
        0.00458756,
        0.00460199,
        0.00448921,
        0.00466065,
        0.00475706,
        0.00448885,
        0.00410401,
        0.00396308,
        0.00388802,
        0.00385686,
        0.00383748,
        0.00381644,
        0.003875,
        0.00408356,
        0.00435774,
        0.00412013,
        0.00361487,
        0.00358662,
        0.00391465,
        0.00421659,
        0.00416928,
        0.00371873,
        0.00353627,
        0.00362139,
        0.00391093,
        0.00387991,
        0.00371592,
        0.00386748,
        0.00406156,
        0.00390241,
        0.00374318,
        0.0038183,
        0.00397239,
        0.00375069,
        0.0035234,
        0.00366612,
        0.0037691,
        0.00399167,
        0.00404244,
        0.00386921,
        0.0040662,
        0.00421893,
        0.00423644,
        0.00432139,
        0.00446465,
        0.00453927,
        0.0045945,
        0.00423485,
        0.00395818,
        0.00402456,
        0.00436326,
        0.00451828,
        0.00460209,
        0.00492803,
        0.0047208,
        0.0044224,
        0.00414645,
        0.00419868,
        0.00422828,
        0.00415075,
        0.00399037,
        0.0040305,
        0.0037389,
        0.00356047,
        0.00373074,
        0.00380701,
        0.0035867,
        0.0035017,
        0.00379759,
        0.00380429,
        0.00386494,
        0.00400287,
        0.00360791,
        0.00355868,
        0.00354235,
        0.00344121,
        0.00362236,
        0.00382825,
        0.0036636,
        0.00354884,
        0.00343975,
        0.00372429,
        0.00372734,
        0.00365586,
        0.00383375,
        0.00382778,
        0.00388824,
        0.00364618,
        0.0036516,
        0.00385974,
        0.00385254,
        0.00366339,
        0.00346669,
        0.00373727,
        0.00369331,
        0.00361686,
        0.00346209,
        0.00340191,
        0.00363958,
        0.00392116,
        0.00386476,
        0.00363117,
        0.00347189,
        0.00341034,
        0.0034824,
        0.00377642,
        0.00364028,
        0.00349664,
        0.00350765,
        0.00334147,
        0.0031691,
        0.00321893,
        0.00274252,
        0.00283245,
        0.00305016,
        0.00345546,
        0.00362493,
        0.00345051,
        0.00345766,
        0.00371596,
        0.00394156,
        0.00381439,
        0.0036049,
        0.00344853,
        0.00332994,
        0.00343838,
        0.00346649,
        0.00351458,
        0.00341743,
        0.00340878,
        0.00353525,
        0.00357009,
        0.00362033,
        0.0035884,
        0.00337173,
        0.00338315,
        0.00353636,
        0.00358343,
        0.00370937,
        0.00366497,
        0.00349633,
        0.00335052,
        0.00343192,
        0.00345792,
        0.0034188,
        0.00325203,
        0.00348763,
        0.00328212,
        0.00314387,
        0.00326153,
        0.00345417,
        0.00346165,
        0.00337092,
        0.00338371,
        0.00358755,
        0.003643,
        0.00344719,
        0.00325199,
        0.00341059,
        0.00309718,
        0.00289008,
        0.00304288,
        0.00308085,
        0.00286421,
        0.00306924,
        0.00310072,
        0.0032065,
        0.00335064,
        0.0034323,
        0.00349966,
        0.00353801,
        0.00359438,
        0.0032908,
        0.00316664,
        0.00324502,
        0.00341376,
        0.00337915,
        0.00332835,
        0.00345695,
        0.0034149,
        0.0035179,
        0.00357769,
        0.00325119,
        0.00288711,
        0.0029953,
        0.0029552,
        0.00306285,
        0.00347193,
        0.00346553,
        0.00318901,
        0.00322322,
        0.00329696,
        0.0029918,
        0.00299833,
        0.00322232,
        0.00338287,
        0.00337231,
        0.0034108,
        0.00317996,
        0.00354332,
        0.00350679,
        0.00325361,
        0.00326249,
        0.00322986,
        0.00324704,
        0.00332757,
        0.00344275,
        0.00323314,
        0.00358358,
        0.00384104,
        0.00324119,
        0.00320598,
        0.00335478,
        0.00322231,
        0.00304774,
        0.00302445,
        0.00305334,
        0.0029637,
        0.00313541,
        0.0035613,
        0.00350653,
        0.00323038,
        0.00290347,
        0.00287548,
        0.00289959,
        0.00281899,
        0.0030089,
        0.00308737,
        0.00308268,
        0.00320341,
        0.00342424,
        0.00337895,
        0.0031979,
        0.00309921,
        0.00294782,
        0.00294573,
        0.00316834,
        0.00341009,
        0.00333182,
        0.00309958,
        0.00287356,
        0.00287251,
        0.00302228,
        0.00295521,
        0.00277754,
        0.00273239,
        0.00282657,
        0.00303949,
        0.0029776,
        0.0028897,
        0.00303545,
        0.00307436,
        0.00289107,
        0.00318239,
        0.00346974,
        0.00335194,
        0.00314536,
        0.00312135,
        0.00288355,
        0.00283368,
        0.00311337,
        0.00348767,
        0.00357555,
        0.00336146,
        0.00330889,
        0.00338417,
        0.00320021,
        0.00307021,
        0.00307703,
        0.00328094,
        0.00358599,
        0.00357438,
        0.00317129,
        0.00290241,
        0.00301918,
        0.0030992,
        0.00296435,
        0.0028576,
        0.00303379,
        0.00310941,
        0.0032963,
        0.00321308,
        0.00302492,
        0.00308984,
        0.00342139,
        0.00344492,
        0.00334428,
        0.00320941,
        0.00312024,
        0.00303838,
        0.00282606,
        0.00300834,
        0.00307428,
        0.00291841,
        0.00288992,
        0.00313378,
        0.00320543,
        0.0030544,
        0.00290197,
        0.00277276,
        0.00307809,
        0.00320284,
        0.00310117,
        0.00313875,
        0.00327938,
        0.00342372,
        0.00305724,
        0.00297267,
        0.00305967,
        0.00326654,
        0.00342666,
        0.0032436,
        0.00311884,
        0.00316372,
        0.00315602,
        0.00352212,
        0.00364828,
        0.00335897,
        0.00341351,
        0.00345178,
        0.0034341,
        0.00323749,
        0.003253,
        0.00328491,
        0.00328398,
        0.00355196,
        0.00357174,
        0.00346379,
        0.00358114,
        0.00401722,
        0.0041312,
        0.00368637,
        0.00358947,
        0.00366317,
        0.00359071,
        0.00355172,
        0.00338881,
        0.00323558,
        0.00328907,
        0.00326975,
        0.00318561,
        0.00346154,
        0.00328499,
        0.00297137,
        0.00305534,
        0.00309697,
        0.00300813,
        0.00336734,
        0.00345267,
        0.00340734,
        0.00334625,
        0.00318881,
        0.00299259,
        0.00327501,
        0.00356843,
        0.003508,
        0.00331094,
        0.00331532,
        0.00352331,
        0.00372107,
        0.00332267,
        0.00312357,
        0.00327545,
        0.00320901,
        0.00307914,
        0.00329927,
        0.00327516,
        0.00336055,
        0.00331987,
        0.00331023,
        0.00343022,
        0.0035167,
        0.00353896,
        0.00355104,
        0.00321543,
        0.00324649,
        0.00338402,
        0.00345567,
        0.00359971,
        0.00374575,
        0.00356842,
        0.00341808,
        0.00345539,
        0.00345442,
        0.00344052,
        0.00333834,
        0.00323988,
        0.00329767,
        0.00312503,
        0.00312489,
        0.00333921,
        0.00342088,
        0.0033305,
        0.00323078,
        0.00347543,
        0.00353296,
        0.00341794,
        0.00334009,
        0.00327036,
        0.00315784,
        0.00314547,
        0.00308747,
        0.00345503,
        0.00350662,
        0.00358696,
        0.00354086,
        0.00350254,
        0.00365494,
        0.00376564,
        0.00368224,
        0.0036506,
        0.00366083,
        0.00359411,
        0.00335926,
        0.00325191,
        0.00337387,
        0.00364902,
        0.00375886,
        0.00365409,
        0.00362367,
        0.00366722,
        0.00361677,
        0.00370271,
        0.00374877,
        0.00377158,
        0.00379913,
        0.00364855,
        0.00358639,
        0.00386243,
        0.00360267,
        0.00354295,
        0.00341481,
        0.00346494,
        0.00367583,
        0.00390797,
        0.00377818,
        0.00361925,
        0.00343369,
        0.00338975,
        0.00334959,
        0.00341884,
        0.00356945,
        0.00367714,
        0.00370276,
        0.00342713,
        0.00360062,
        0.00370573,
        0.00349487,
        0.00338953,
        0.00308601,
        0.00344249,
        0.00349199,
        0.00359976,
        0.00363785,
        0.00375022,
        0.00376091,
        0.00363715,
        0.0036458,
        0.00363239,
        0.00335387,
        0.00313843,
        0.00320912,
        0.00338382,
        0.00354786,
        0.00389836,
        0.00364433,
        0.00345552,
        0.00338007,
        0.0035561,
        0.00379901,
        0.00386735,
        0.00387663,
        0.00383231,
        0.00358904,
        0.00351664,
        0.00357466,
        0.00345835,
        0.00371949,
        0.00379868,
        0.00366872,
        0.0037914,
        0.00401661,
        0.00400015,
        0.00381292,
        0.00383833,
        0.00395422,
        0.00392558,
        0.00377796,
        0.00401829,
        0.0041117,
        0.00383344,
        0.00376013,
        0.0035759,
        0.00359979,
        0.0037877,
        0.00380838,
        0.0038063,
        0.00381349,
        0.0039745,
        0.00405563,
        0.00402882,
        0.00358636,
        0.0035384,
        0.00396464,
        0.00383503,
        0.00379936,
        0.00403929,
        0.00400622,
        0.00385261,
        0.00370417,
        0.00384633,
        0.00400385,
        0.00411148,
        0.00389647,
        0.0039498,
        0.00425265,
        0.00425571,
        0.00400739,
        0.00399871,
        0.00405494,
        0.00400627,
        0.00385999,
        0.00407791,
        0.00424584,
        0.00393993,
        0.00353759,
        0.00362513,
        0.00411886,
        0.00566939,
        0.00441506,
        0.00404568,
        0.00427357,
        0.00408322,
        0.00387657,
        0.0039,
        0.00388205,
        0.00378618,
        0.00373437,
        0.00371877,
        0.00369444,
        0.00384557,
        0.003726,
        0.00343518,
        0.00349654,
        0.00388165,
        0.00416243,
        0.00409229,
        0.00401729,
        0.00390489,
        0.00381239,
        0.00370422,
        0.00375289,
        0.00394943,
        0.00391388,
        0.00413553,
        0.00397368,
        0.0036645,
        0.00376285,
        0.00397134,
        0.00434206,
        0.00436774,
        0.00429885,
        0.00424247,
        0.00415156,
        0.00401993,
        0.00405639,
        0.00370923,
        0.00377523,
        0.00398984,
        0.0039469,
        0.00387952,
        0.0038576,
        0.00379249,
        0.00356684,
        0.00373279,
        0.0040509,
        0.00418091,
        0.00413325,
        0.00422663,
        0.0044151,
        0.00425357,
        0.00421814,
        0.00386308,
        0.00380557,
        0.00399235,
        0.00436658,
        0.0045769,
        0.00433908,
        0.00465856,
        0.00503426,
        0.00559857,
        0.00548058,
        0.00488057,
        0.00481394,
        0.00471053,
        0.00469753,
        0.00427846,
        0.00414964,
        0.00427918,
        0.00445801,
        0.00443373,
        0.00419748,
        0.0042069,
        0.00443125,
        0.00441775,
        0.00452508,
        0.00456073,
        0.00402537,
        0.00321468,
        0.00241978,
        0.00224713,
        0.00237116,
        0.00263205,
        0.00326814,
        0.00422091,
        0.0046216,
        0.00466905,
        0.00528861,
        0.0057108,
        0.00606776,
        0.0060188,
        0.00643878,
        0.00827106,
        0.0098235,
        0.0103092,
        0.013489,
        0.0158271,
        0.0159422,
        0.0153643,
        0.0151352,
        0.014337,
        0.0105308,
        0.00853244,
        0.00750178,
        0.00735916,
        0.0063739,
        0.00553305,
        0.00527794,
        0.00507067,
        0.00486436,
        0.00498918,
        0.0044906,
        0.00477335,
        0.00493047,
        0.0046645,
        0.00452737,
        0.00473652,
        0.00468954,
        0.00413413,
        0.00452165,
        0.00429498,
        0.00420493,
        0.00415628,
        0.0037785,
        0.003845,
        0.0036942,
        0.00361064,
        0.00368428,
        0.00367035,
        0.00365304,
        0.00410498,
        0.00437903,
        0.00389338,
        0.003685,
        0.00352779,
        0.00344911,
        0.00324886,
        0.00317479,
        0.00349372,
        0.00342998,
        0.00352315,
        0.00359462,
        0.0034516,
        0.00353116,
        0.00347863,
        0.00307509,
        0.00330659,
        0.00374704,
        0.00379321,
        0.00367916,
        0.00362636,
        0.00372514,
        0.00366842,
        0.00359464,
        0.00327023,
        0.00304608,
        0.00319747,
        0.00347454,
        0.00364218,
        0.00352992,
        0.00341051,
        0.00358073,
        0.00335396,
        0.00330156,
        0.00335315,
        0.00341693,
        0.00342006,
        0.00352076,
        0.00337784,
        0.00339606,
        0.00364438,
        0.00369009,
        0.00337739,
        0.0031749,
        0.00330815,
        0.00331881,
        0.00348004,
        0.00344411,
        0.00342436,
        0.00349022,
        0.003535,
        0.00330581,
        0.00317159,
        0.00321549,
        0.003032,
        0.00292485,
        0.00306953,
        0.003329,
        0.00348221,
        0.00340175,
        0.00351468,
        0.00351612,
        0.00359763,
        0.00350418,
        0.0033616,
        0.00355067,
        0.00368023,
        0.00355768,
        0.00355764,
        0.00395517,
        0.00390137,
        0.0036154,
        0.00358849,
        0.00373799,
        0.00379134,
        0.00384922,
        0.00383597,
        0.00359656,
        0.00388837,
        0.00392467,
        0.00373484,
        0.00451533,
        0.00503626,
        0.00518679,
        0.00520349,
        0.00554237,
        0.00666025,
        0.00752697,
        0.00806365,
        0.00842767,
        0.00795929,
        0.00737257,
        0.006722,
        0.00583372,
        0.00506989,
        0.0046051,
        0.0044884,
        0.00401617,
        0.00391532,
        0.00373793,
        0.00364486,
        0.00391655,
        0.00410634,
        0.00379831,
        0.00360892,
        0.003406,
        0.00343426,
        0.00336734,
        0.00339336,
        0.00345206,
        0.00323826,
        0.00331168,
        0.00331665,
        0.0031596,
        0.00338422,
        0.00365851,
        0.0034565,
        0.00327908,
        0.00353315,
        0.00349747,
        0.00346146,
        0.00313349,
        0.00322436,
        0.00332422,
        0.00320179,
        0.00326418,
        0.00341585,
        0.00329987,
        0.00313688,
        0.00295032,
        0.00283754,
        0.00276639,
        0.0027706,
        0.00293073,
        0.00308075,
        0.00327321,
        0.00331359,
        0.00348872,
        0.00350213,
        0.0033525,
        0.00324725,
        0.00356181,
        0.00366514,
        0.00333316,
        0.00317242,
        0.00336995,
        0.00356849,
        0.00359252,
        0.00357905,
        0.00352067,
        0.00357792,
        0.00369113,
        0.00381386,
        0.0036636,
        0.0033358,
        0.00345018,
        0.0038494,
        0.00395035,
        0.00386305,
        0.00361174,
        0.0037047,
        0.00396939,
        0.00400857,
        0.00371935,
        0.00406934,
        0.00401919,
        0.00393496,
        0.00423705,
        0.00447589,
        0.00435658,
        0.00413973,
        0.00428006,
        0.0047172,
        0.0047894,
        0.00476021,
        0.00534193,
        0.00582261,
        0.00558031,
        0.00569691,
        0.00577631,
        0.00598841,
        0.00668024,
        0.00712596,
        0.0073986,
        0.00790874,
        0.00908819,
        0.0107151,
        0.0113919,
        0.0123458,
        0.0146444,
        0.0136717,
        0.0125097,
        0.0104388,
        0.00855966,
        0.00757478,
        0.00701987,
        0.00721409,
        0.00685213,
        0.00595375,
        0.00513982,
        0.00462251,
        0.00448271,
        0.00440179,
        0.00450309,
        0.00443398,
        0.00441965,
        0.00408541,
        0.00410714,
        0.00429775,
        0.00392759,
        0.00386258,
        0.00432947,
        0.00408735,
        0.00384712,
        0.00385527,
        0.00420494,
        0.00449434,
        0.00412965,
        0.00388418,
        0.00396504,
        0.00394882,
        0.0039271,
        0.00402171,
        0.00403926,
        0.00389643,
        0.0036022,
        0.00369945,
        0.00394799,
        0.00395082,
        0.00379383,
        0.00375102,
        0.0039511,
        0.00427877,
        0.00420242,
        0.00379808,
        0.00393355,
        0.00405505,
        0.00419195,
        0.00450085,
        0.00444768,
        0.00436413,
        0.00431915,
        0.004561,
        0.00478429,
        0.00506185,
        0.00512694,
        0.00495688,
        0.00520903,
        0.00496927,
        0.00478627,
        0.00474552,
        0.00449409,
        0.00440853,
        0.0043637,
        0.00432513,
        0.00425796,
        0.00415696,
        0.00424549,
        0.00402317,
        0.00399553,
        0.00410082,
        0.00392995,
        0.00378796,
        0.00394021,
        0.00380844,
        0.00386813,
        0.00423003,
        0.00470461,
        0.00448087,
        0.00401779,
        0.00403188,
        0.00389243,
        0.00399901,
        0.00423847,
        0.00416585,
        0.00399603,
        0.0041821,
        0.00434323,
        0.00451125,
        0.00469634,
        0.00492824,
        0.00484366,
        0.00485181,
        0.00483843,
        0.00496272,
        0.00493351,
        0.00483257,
        0.00561492,
        0.00614107,
        0.00629772,
        0.00648334,
        0.00717803,
        0.00838512,
        0.00937644,
        0.010766,
        0.012297,
        0.0137299,
        0.0150747,
        0.0117087,
        0.00977336,
        0.00989168,
        0.00877423,
        0.00764556,
        0.00674673,
        0.00615347,
        0.00573014,
        0.00560106,
        0.00539527,
        0.00525713,
        0.0048466,
        0.00462183,
        0.00483154,
        0.00490465,
        0.00464297,
        0.00448266,
        0.00460829,
        0.00443213,
        0.00449303,
        0.00449824,
        0.00469843,
        0.00470801,
        0.00454552,
        0.00478798,
        0.00479728,
        0.00468651,
        0.00426513,
        0.00420668,
        0.00385241,
        0.00303578,
        0.0024905,
        0.00216774,
        0.00225712,
        0.00251758,
        0.00311135,
        0.00380247,
        0.00437507,
        0.00485737,
        0.00507442,
        0.00467253,
        0.00445669,
        0.00473307,
        0.0052107,
        0.00516643,
        0.00492498,
        0.00523156,
        0.00598761,
        0.0062683,
        0.00766329,
        0.00853213,
        0.0092895,
        0.0127634,
        0.0121495,
        0.0102777,
        0.0090484,
        0.00743046,
        0.00605047,
        0.00549205,
        0.00491339,
        0.00462024,
        0.00459688,
        0.00446943,
        0.00432747,
        0.00406825,
        0.00387664,
        0.00415295,
        0.00422468,
        0.00390362,
        0.00350541,
        0.00340371,
        0.00345786,
        0.00353213,
        0.00344445,
        0.00352806,
        0.0037195,
        0.00389209,
        0.00378687,
        0.00357637,
        0.00334585,
        0.00347391,
        0.00361813,
        0.00338252,
        0.00363915,
        0.00347805,
        0.00347757,
        0.00359263,
        0.00369173,
        0.00372074,
        0.00359175,
        0.0034659,
        0.00364911,
        0.00366242,
        0.00374436,
        0.00341439,
        0.00309393,
        0.00342039,
        0.00396825,
        0.0040242,
        0.0032496,
        0.00308047,
        0.003335,
        0.00373506,
        0.00380945,
        0.0035361,
        0.00326441,
        0.00318397,
        0.00311964,
        0.00329581,
        0.00372717,
        null,
        0.004362,
        0.00424432,
        0.0041215,
        0.00400666,
        0.00424025,
        0.00404919,
        0.00321354,
        0.00245479,
        0.00212523,
        0.00202001,
        0.00216585,
        0.00258691,
        0.0029861,
        0.00396651,
        0.00448445,
        0.00440527,
        0.00454293,
        0.00514244,
        0.0055673,
        0.0057381,
        0.00563563,
        0.00608401,
        0.00660266,
        0.00678863,
        0.00728941,
        0.00837473,
        0.0103519,
        0.0140703,
        0.0156681,
        0.0113524,
        0.00859497,
        0.00738516,
        0.0065385,
        0.00558832,
        0.0050636,
        0.00488285,
        0.00460652,
        0.005009,
        0.00453148,
        0.00443209,
        0.0045733,
        0.00448241,
        0.00445028,
        0.00456561,
        0.00504941,
        0.00456538,
        0.00422116,
        0.00423114,
        0.00417556,
        0.0039711,
        0.00367013,
        0.00365194,
        0.00416763,
        0.00448427,
        0.00449546,
        0.00425857,
        0.00396661,
        0.00389175,
        0.00422587,
        0.00441451,
        0.00419247,
        0.00383671,
        0.00371464,
        0.00390598,
        0.00369254,
        0.00414233,
        0.00442921,
        0.00388173,
        0.00353323,
        0.00342587,
        0.00322321,
        0.002946,
        0.00293972,
        0.00315447,
        0.00343465,
        0.00369523,
        0.00388007,
        0.00394153,
        0.00397368,
        0.0042562,
        0.00372518,
        0.00342932,
        0.00351614,
        0.00375052,
        0.00400954,
        0.00411021,
        0.00414975,
        0.00413679,
        0.00381004,
        0.00369574,
        0.00393582,
        0.00427656,
        0.00409581,
        0.00364573,
        0.00353446,
        0.00375291,
        0.00401946,
        0.00411615,
        0.00425574,
        0.00442179,
        0.00444849,
        0.00430176,
        0.00433647,
        0.0043994,
        0.00432153,
        0.00410028,
        0.00405334,
        0.00391342,
        0.00367179,
        0.00349942,
        0.00357766,
        0.003802,
        0.00406843,
        0.00403372,
        0.00410972,
        0.00408636,
        0.00383448,
        0.00394123,
        0.00422754,
        0.0039712,
        0.0038698,
        0.00379001,
        0.0035807,
        0.00362709,
        0.00364648,
        0.00343389,
        0.00314156,
        0.00327714,
        0.00362708,
        0.00395746,
        0.00416894,
        0.00411597,
        0.00387667,
        0.00363502,
        0.00360813,
        0.00379567,
        0.00427946,
        0.00426017,
        0.0038824,
        0.00372523,
        0.003713,
        0.00386103,
        0.00390248,
        0.00384106,
        0.00433915,
        0.0046033,
        0.00439069,
        0.00397714,
        0.00364729,
        0.00357989,
        0.00368513,
        0.00390445,
        0.00397697,
        0.00365231,
        0.0037417,
        0.0035389,
        0.00352336,
        0.00362779,
        0.00360277,
        0.00367623,
        0.00386331,
        0.0038532,
        0.00380279,
        0.00383682,
        0.00379996,
        0.00346823,
        0.0034505,
        0.00345819,
        0.00350204,
        0.00367315,
        0.00363577,
        0.00357012,
        0.00375567,
        0.00408597,
        0.00440731,
        0.00420734,
        0.00387896,
        0.00367003,
        0.00391347,
        0.00449768,
        0.00475186,
        0.00481257,
        0.00465001,
        0.00421511,
        0.00408194,
        0.00477251,
        0.0051394,
        0.00445706,
        0.00434314,
        0.00416142,
        0.00412756,
        0.00413484,
        0.00384078,
        0.00389107,
        0.00432339,
        0.00434135,
        0.00416471,
        0.00375617,
        0.003545,
        0.00364369,
        0.00349088,
        0.00330386,
        0.0033637,
        0.0035389,
        0.00354315,
        0.00346531,
        0.00338328,
        0.00337801,
        0.0037189,
        0.00398973,
        0.00400883,
        0.00412015,
        0.00426002,
        0.00425805,
        0.00408224,
        0.00393134,
        0.00390561,
        0.00412342,
        0.00433583,
        0.00431979,
        0.00413187,
        0.00403767,
        0.00397441,
        0.0038028,
        0.00396113,
        0.00430509,
        0.00437425,
        0.00459161,
        0.00493048,
        0.00494898,
        0.0056073,
        0.00684138,
        0.00785973,
        0.0089341,
        0.0100685,
        0.010789,
        0.0117024,
        0.0121147,
        0.0121815,
        0.0126763,
        0.0143173,
        0.015454,
        0.0143342,
        0.0128688,
        0.0117819,
        0.0103264,
        0.00922044,
        0.00954189,
        0.00918144,
        0.00865219,
        0.00902449,
        0.00856791,
        0.00794764,
        0.00848292,
        0.0100709,
        0.0106328,
        0.00879711,
        0.00785029,
        0.00728866,
        0.00829128,
        0.00801168,
        0.00722929,
        0.00653486,
        0.00602367,
        0.00630258,
        0.00656254,
        0.00674169,
        0.00605002,
        0.00572623,
        0.00612298,
        0.00622705,
        0.00570238,
        0.00537727,
        0.00482105,
        0.00485322,
        0.00479984,
        0.00580728,
        0.00642337,
        0.00693997,
        0.00707077,
        0.00648288,
        0.00623652,
        0.00546433,
        0.00507458,
        0.00488967,
        0.00463468,
        0.00449179,
        0.00444547,
        0.00414361,
        0.00387227,
        0.00428835,
        0.00449567,
        0.00495747,
        0.00502164,
        0.00497698,
        0.00485187,
        0.00536376,
        0.00580723,
        0.00564028,
        0.00553532,
        0.00467411,
        0.00463566,
        0.00481493,
        0.00593419,
        0.00606325,
        0.00564856,
        0.00543845,
        0.00467805,
        0.00415534,
        0.00426358,
        0.00433394,
        0.00445764,
        0.00430685,
        0.00386625,
        0.00377336,
        0.0038277,
        0.00375146,
        0.0038716,
        0.00377996,
        0.00393357,
        0.00407957,
        0.00417625,
        0.00423756,
        0.0040125,
        0.00361007,
        0.00375559,
        0.00422876,
        0.00438274,
        0.00405032,
        0.00357623,
        0.00382915,
        0.00408349,
        0.00391018,
        0.00426599,
        0.00505654,
        0.00485946,
        0.00422308,
        0.00368239,
        0.00340072,
        0.00355401,
        0.00352374,
        0.0034147,
        0.00373367,
        0.00416526,
        0.00440719,
        0.00415328,
        0.00381018,
        0.00404697,
        0.00375974,
        0.00346289,
        0.00363253,
        0.00374766,
        0.00397609,
        0.00388135,
        0.00394724,
        0.00420296,
        0.00399462,
        0.00362421,
        0.00370802,
        0.00416599,
        0.00401785,
        0.00370675,
        0.00357165,
        0.00336429,
        0.00355858,
        0.00344597,
        0.00363488,
        0.00378186,
        0.00390593,
        0.00480762,
        0.00498639,
        0.00534752,
        0.00495242,
        0.00432918,
        0.00406299,
        0.00421795,
        0.00494395,
        0.00546787,
        0.00506617,
        0.00439142,
        0.00379637,
        0.00353732,
        0.00343745,
        0.00346766,
        0.00344705,
        0.0036089,
        0.00385187,
        0.00366124,
        0.00390272,
        0.00492718,
        0.00532943,
        0.00464094,
        0.00386034,
        0.00355592,
        0.00385253,
        0.00424228,
        0.00399182,
        0.00346771,
        0.00300655,
        0.00323097,
        0.00364528,
        0.00358924,
        0.00343482,
        0.0036864,
        0.00372687,
        0.0037556,
        0.00434296,
        0.00427824,
        0.00391205,
        0.00366987,
        0.00367951,
        0.00359908,
        0.0035237,
        0.0037001,
        0.00360487,
        0.0031703,
        0.00309701,
        0.00325069,
        0.003776,
        0.00391002,
        0.00461519,
        0.00583385,
        0.00582596,
        0.00464139,
        0.0034994,
        0.00352532,
        0.00357071,
        0.00389077,
        0.00423894,
        0.00417621,
        0.00377918,
        0.00367134,
        0.00366751,
        0.00357631,
        0.00326765,
        0.00263665,
        0.00238257,
        0.00230249,
        0.00257881,
        0.00343717,
        0.00473884,
        0.0056817,
        0.00565589,
        0.00519447,
        0.00494958,
        0.00516083,
        0.00585821,
        0.00663845,
        0.00672465,
        0.00643737,
        0.00632876,
        0.00705334,
        0.00953493,
        0.0132571,
        0.0145669,
        0.0108823,
        0.00933275,
        0.00787621,
        0.00640113,
        0.00531214,
        0.00494299,
        0.00537004,
        0.00551013,
        0.00613169,
        0.0061288,
        0.00532182,
        0.00454805,
        0.00417407,
        0.00399741,
        0.00414677,
        0.00427826,
        0.00517416,
        0.0056957,
        0.00535634,
        0.0051164,
        0.0050922,
        0.00517332,
        0.00545446,
        0.00561258,
        0.00528275,
        0.00431502,
        0.00432407,
        0.00432267,
        0.00500062,
        0.00574778,
        0.00553327,
        0.00459341,
        0.0041025,
        0.00412771,
        0.00375054,
        0.00365558,
        0.00362031,
        0.00362114,
        0.00399327,
        0.0042224,
        0.00416889,
        0.00420436,
        0.00391864,
        0.0039591,
        0.00366123,
        0.00346497,
        0.00369398,
        0.00387786,
        0.00389424,
        0.00418031,
        0.00452008,
        0.0045255,
        0.00464806,
        0.00508004,
        0.00508804,
        0.0045967,
        0.00462185,
        0.00490638,
        0.00504837,
        0.00477507,
        0.0042493,
        0.00400505,
        0.00392211,
        0.00387825,
        0.00378414,
        0.00371811,
        0.00383955,
        0.00448825,
        0.00609984,
        0.0077504,
        0.00735392,
        0.00757692,
        0.00713139,
        0.00618626,
        0.00541361,
        0.00552378,
        0.00624399,
        0.00667686,
        0.00687234,
        0.00603379,
        0.00558835,
        0.00481034,
        0.004216,
        0.00405575,
        0.00391638,
        0.00368544,
        0.00368816,
        0.00391789,
        0.00405318,
        0.00378339,
        0.00368204,
        0.00351657,
        0.003246,
        0.00352491,
        0.00380416,
        0.0035407,
        0.00355884,
        0.00387822,
        0.00392332,
        0.00400452,
        0.00370784,
        0.00368921,
        0.00376279,
        0.00386415,
        0.00394521,
        0.00384514,
        0.00477177,
        0.00482828,
        0.00498204,
        0.00443932,
        0.00394892,
        0.00382344,
        0.00388958,
        0.00390418,
        0.00381688,
        0.00385657,
        0.00424725,
        0.00435127,
        0.00433695,
        0.00489937,
        0.00650754,
        0.00746655,
        0.00705846,
        0.00678769,
        0.00619847,
        0.00533662,
        0.004413,
        0.00402068,
        0.00396142,
        0.00376945,
        0.00359542,
        0.00371087,
        0.00375723,
        0.00374923,
        0.00372838,
        0.00369483,
        0.00368081,
        0.00355924,
        0.00360537,
        0.00375687,
        0.00373846,
        0.00351846,
        0.0035198,
        0.00378167,
        0.00376441,
        0.00347745,
        0.00354241,
        0.003512,
        0.00366141,
        0.00373089,
        0.00363686,
        0.00364792,
        0.00411749,
        0.00517036,
        0.00633444,
        0.00697398,
        0.00612918,
        0.00507229,
        0.00443535,
        0.00407502,
        0.00425743,
        0.00519767,
        0.00610864,
        0.00577838,
        0.00498506,
        0.004579,
        0.00423595,
        0.00403855,
        0.00404263,
        0.004096,
        0.00443778,
        0.00481569,
        0.00616217,
        0.00791209,
        0.00790458,
        0.0063056,
        0.00568354,
        0.00552722,
        0.00527465,
        0.00502361,
        0.00466814,
        0.0045271,
        0.00472634,
        0.0055717,
        0.00534847,
        0.00428023,
        0.00395684,
        0.00390256,
        0.00397604,
        0.00464055,
        0.00527261,
        0.00579078,
        0.00497804,
        0.0042918,
        0.00400992,
        0.0041238,
        0.00435913,
        0.00449574,
        0.00443798,
        0.00439989,
        0.00379063,
        0.00369144,
        0.00349017,
        0.00349264,
        0.00402329,
        0.00447857,
        0.00435136,
        0.00404347,
        0.00396833,
        0.00383725,
        0.00365348,
        0.00365777,
        0.00384256,
        0.00373713,
        0.00362536,
        0.00365277,
        0.00390912,
        0.00386275,
        0.00364656,
        0.00357512,
        0.0034988,
        0.0038464,
        0.00383221,
        0.0039385,
        0.0044551,
        0.00469558,
        0.00473917,
        0.00481066,
        0.00456461,
        0.0041142,
        0.00380528,
        0.00352617,
        0.003627,
        0.00395428,
        0.00430277,
        0.00505708,
        0.00562655,
        0.00465011,
        0.00406444,
        0.00407466,
        0.00443824,
        0.00579344,
        0.00696111,
        0.0070356,
        0.00614632,
        0.00495584,
        0.00409469,
        0.00389977,
        0.00367357,
        0.00343055,
        0.003325,
        0.00329664,
        0.0035542,
        0.00370687,
        0.00356318,
        0.00356884,
        0.00368277,
        0.00343009,
        0.00323823,
        0.00339695,
        0.00366002,
        0.00375204,
        0.00407172,
        0.00481483,
        0.00589992,
        0.00716876,
        0.00769308,
        0.00653067,
        0.0049105,
        0.00403078,
        0.00381049,
        0.00410911,
        0.00448465,
        0.00467502,
        0.00505748,
        0.00549297,
        0.00601605,
        0.00605881,
        0.00736597,
        0.00843017,
        0.00855375,
        0.00724556,
        0.00612265,
        0.00607236,
        0.00567645,
        0.00511209,
        0.00500538,
        0.00483317,
        0.00466373,
        0.00410751,
        0.00446088,
        0.00498002,
        0.00501673,
        0.00583129,
        0.00804566,
        0.00987094,
        0.0103378,
        0.00968899,
        0.0102945,
        0.0120993,
        0.0145155,
        0.0135658,
        0.0112522,
        0.0102302,
        0.00887715,
        0.00800514,
        0.0071217,
        0.00632687,
        0.00587167,
        0.00539475,
        0.0051872,
        0.00497377,
        0.00460573,
        0.0044027,
        0.0041567,
        0.00388615,
        0.00432923,
        0.00439154,
        0.00437108,
        0.00432741,
        0.00415445,
        0.00403735,
        0.00375836,
        0.00399303,
        0.00365845,
        0.00357799,
        0.00370747,
        0.00405321,
        0.00431057,
        0.00478277,
        0.00584974,
        0.00688081,
        0.00723057,
        0.00675816,
        0.00550132,
        0.00497438,
        0.00513003,
        0.00482075,
        0.0042558,
        0.00416206,
        0.00424425,
        0.00403393,
        0.00381878,
        0.00343887,
        0.00283788,
        0.00281181,
        0.00326337,
        0.00380463,
        0.00463299,
        0.00522547,
        0.005559,
        0.00491169,
        0.0043962,
        0.00405563,
        0.00416159,
        0.00418572,
        0.00460894,
        0.00518583,
        0.00525336,
        0.0049622,
        0.00508684,
        0.00559932,
        0.0057473,
        0.00599125,
        0.00710548,
        0.00845761,
        0.00905688,
        0.0102585,
        0.0120895,
        0.0120134,
        0.00980079,
        0.0087891,
        0.00877972,
        0.0103833,
        0.0108813,
        0.0103101,
        0.00891175,
        0.00787729,
        0.00760468,
        0.00830735,
        0.00849862,
        0.00873388,
        0.00823947,
        0.0064162,
        0.00509719,
        0.00486127,
        0.00499706,
        0.00496945,
        0.00470449,
        0.00438731,
        0.00406864,
        0.00400145,
        0.00443799,
        0.00406781,
        0.00446169,
        0.00544615,
        0.00582705,
        0.00514622,
        0.0043516,
        0.00421742,
        0.00458419,
        0.00487326,
        0.00446125,
        0.00473545,
        0.00439327,
        0.00393851,
        0.00345191,
        0.00270958,
        0.0022432,
        0.00231458,
        0.00275391,
        0.00393937,
        0.0048071,
        0.00444182,
        0.00438009,
        0.00429005,
        0.00442779,
        0.0048459,
        0.00512412,
        0.00513866,
        0.00510214,
        0.00514485,
        0.00573819,
        0.00726765,
        0.00860912,
        0.0112159,
        0.0127258,
        0.00886214,
        0.00699141,
        0.00651847,
        0.00692691,
        0.00692545,
        0.00737324,
        0.00712646,
        0.00629358,
        0.00581398,
        0.0059333,
        0.00581571,
        0.00509018,
        0.00450201,
        0.00435136,
        0.00442731,
        0.00493102,
        0.00594145,
        0.0059634,
        0.00502757,
        0.00451877,
        0.00420914,
        0.003969,
        0.00435768,
        0.00443575,
        0.00400993,
        0.00363094,
        0.00368499,
        0.00387742,
        0.00399232,
        0.00406642,
        0.00413592,
        0.00470121,
        0.00583468,
        0.00667338,
        0.00740856,
        0.00799549,
        0.00762831,
        0.00620825,
        0.00478363,
        0.0039915,
        0.00385306,
        0.00378896,
        0.00361586,
        0.00377907,
        0.00398526,
        0.00397432,
        0.00376746,
        0.00371934,
        0.00408043,
        0.00420371,
        0.00409465,
        0.00441008,
        0.00481135,
        0.0044977,
        0.00446006,
        0.00470801,
        0.00520561,
        0.00559849,
        0.00657385,
        0.00851029,
        0.0090989,
        0.00900544,
        0.0046342,
        0.00471549,
        0.00515018,
        0.00506575,
        0.00529151,
        0.00569989,
        0.00635354,
        0.00671413,
        0.00606353,
        0.00503322,
        0.00492891,
        0.00487016,
        0.00514332,
        0.00502679,
        0.00509746,
        0.00550091,
        0.00519835,
        0.00531426,
        0.00531379,
        0.00483493,
        0.00473974,
        0.00482759,
        0.00468606,
        0.00464488,
        0.00519338,
        0.00687796,
        0.007769,
        0.00751508,
        0.00708976,
        0.00610017,
        0.00523141,
        0.00545762,
        0.0050887,
        0.004802,
        0.00496754,
        0.00548088,
        0.00655797,
        0.00744635,
        0.00703682,
        0.00568021,
        0.00508884,
        0.00515792,
        0.00462389,
        0.00473176,
        0.00469037,
        0.00471561,
        0.00454622,
        0.00497444,
        0.00648177,
        0.00740158,
        0.00700745,
        0.00632965,
        0.00599073,
        0.00634735,
        0.00561108,
        0.00494922,
        0.00480436,
        0.00580081,
        0.00700746,
        0.00669215,
        0.00577787,
        0.00520163,
        0.00480028,
        0.0046429,
        0.00473478,
        0.004706,
        0.00490233,
        0.00500041,
        0.00485897,
        0.00535181,
        0.00527768,
        0.00488826,
        0.00504353,
        0.00472906,
        0.00443088,
        0.00467912,
        0.00505711,
        0.00528553,
        0.00516564,
        0.00547058,
        0.00598672,
        0.0062741,
        0.00704693,
        0.00824387,
        0.0079857,
        0.00638225,
        0.00549933,
        0.00543603,
        0.00498696,
        0.00479747,
        0.00493479,
        0.0047446,
        0.00459728,
        0.00460228,
        0.00431772,
        0.00425602,
        0.00465853,
        0.00471584,
        0.00494724,
        0.00507637,
        0.00460333,
        0.00420787,
        0.00403319,
        0.00446343,
        0.00512169,
        0.00588729,
        0.00685725,
        0.00733066,
        0.00702399,
        0.00623683,
        0.00494409,
        0.0051655,
        0.00639403,
        0.00864196,
        0.0115788,
        0.0125973,
        0.00984129,
        0.0065058,
        0.00472494,
        0.00450537,
        0.00450965,
        0.00433051,
        0.00394339,
        0.00374005,
        0.00362756,
        0.00399918,
        0.0047567,
        0.00583529,
        0.00676408,
        0.00710413,
        0.00780004,
        0.00760651,
        0.00583425,
        0.00511492,
        0.00469186,
        0.00464788,
        0.00447566,
        0.00418564,
        0.00416389,
        0.00391703,
        0.00372465,
        0.00384273,
        0.00395722,
        0.00448166,
        0.00458862,
        0.00493053,
        0.00623462,
        0.00774839,
        0.00807883,
        0.00748067,
        0.0070555,
        0.00579051,
        0.00476098,
        null,
        0.00487689,
        0.00526015,
        0.0056319,
        0.00599419,
        0.0060894,
        0.0066558,
        0.00836337,
        0.00856133,
        0.00649756,
        0.00524156,
        0.00598567,
        0.00655988,
        0.00694046,
        0.0062512,
        0.00513522,
        0.0044441,
        0.00440282,
        0.00464874,
        0.00456904,
        0.00429808,
        0.00461394,
        0.00463714,
        0.00454406,
        0.00453147,
        0.00462557,
        0.00440286,
        0.00420144,
        0.00417249,
        0.00435819,
        0.00477483,
        0.00506778,
        0.00512199,
        0.00468567,
        0.0048536,
        0.00469887,
        0.00457666,
        0.00480894,
        0.00482937,
        0.00500586,
        0.00524808,
        0.00552613,
        0.00632536,
        0.00711193,
        0.00703758,
        0.00581681,
        0.00527454,
        0.00472539,
        0.00506929,
        0.00503092,
        0.00437541,
        0.00416635,
        0.0046292,
        0.0051233,
        0.0053692,
        0.00522432,
        0.00486657,
        0.00469659,
        0.00483817,
        0.00499196,
        0.00544852,
        0.00615637,
        0.00734604,
        0.00851557,
        0.00841912,
        0.00773456,
        0.00704991,
        0.00651159,
        0.00535412,
        0.00463809,
        0.00489914,
        0.00510952,
        0.00496198,
        0.00507653,
        0.00559446,
        0.00583742,
        0.00654677,
        0.00748688,
        0.00841841,
        0.00956847,
        0.0116046,
        0.0132675,
        0.0121028,
        0.0111748,
        0.0110992,
        0.00970274,
        0.00893025,
        0.00826347,
        0.00715478,
        0.00609283,
        0.00556567,
        0.00563883,
        0.00567067,
        0.00549288,
        0.00511427,
        0.00539935,
        0.00708516,
        0.00872436,
        0.00785263,
        0.00662009,
        0.00544565,
        0.00519311,
        0.00501464,
        0.00453908,
        0.00464068,
        0.004512,
        0.00451118,
        0.0047509,
        0.00461786,
        0.00445031,
        0.00451674,
        0.00446767,
        0.00451751,
        0.00469186,
        0.00497685,
        0.00508748,
        0.00550564,
        0.00641722,
        0.00776975,
        0.00837367,
        0.00669761,
        0.00555734,
        0.00449587,
        0.00371576,
        0.00351025,
        0.00389596,
        0.00503542,
        0.00753404,
        0.0104861,
        0.0107826,
        0.00909717,
        0.00735124,
        0.00576321,
        0.00554706,
        0.00510736,
        0.00455975,
        0.00481625,
        0.00531331,
        0.00529238,
        0.00513144,
        0.00553091,
        0.00578523,
        0.005277,
        0.00502188,
        0.00504904,
        0.00479481,
        0.00468625,
        0.00445294,
        0.00452304,
        0.00501879,
        0.00483024,
        0.00457154,
        0.00446754,
        0.00455085,
        0.00455191,
        0.00446404,
        0.00495884,
        0.00488114,
        0.00437805,
        0.00514059,
        0.00703686,
        0.00878315,
        0.00918467,
        0.00765755,
        0.00587327,
        0.00523488,
        0.00537376,
        0.00547307,
        0.00519812,
        0.00501097,
        0.0049799,
        0.00498583,
        0.00485666,
        0.00466857,
        0.00440122,
        0.00475029,
        0.00482185,
        0.0047105,
        0.00476157,
        0.0045851,
        0.00464459,
        0.0046684,
        0.00457414,
        0.00450734,
        0.00434175,
        0.00427485,
        0.00431466,
        0.00425706,
        0.00418383,
        0.0041069,
        0.00411746,
        0.00431837,
        0.00455754,
        0.00503407,
        0.0062506,
        0.00701097,
        0.00743009,
        0.00620081,
        0.00569547,
        0.00524895,
        0.00519571,
        0.00547601,
        0.00559338,
        0.00552131,
        0.00551361,
        0.0053823,
        0.00535275,
        0.00532429,
        0.00507488,
        0.00492247,
        0.00471142,
        0.00413168,
        0.00440692,
        0.00480956,
        0.0052098,
        0.00574386,
        0.0077094,
        0.010171,
        0.00935523,
        0.00706103,
        0.00552545,
        0.00442025,
        0.00416007,
        0.00445436,
        0.00465294,
        0.00488715,
        0.00537708,
        0.00689159,
        0.00868985,
        0.00776716,
        0.00581108,
        0.00497347,
        0.00501294,
        0.00526126,
        0.00522283,
        0.00532738,
        0.00486473,
        0.00567141,
        0.00627031,
        0.00702333,
        0.00842066,
        0.00774749,
        0.00639112,
        0.00602173,
        0.00553892,
        0.00504362,
        0.00517384,
        0.00550386,
        0.00557668,
        0.00597762,
        0.00718923,
        0.00752623,
        0.00796869,
        0.00788834,
        0.00788351,
        0.00741403,
        0.00665769,
        0.00645904,
        0.00645051,
        0.00690036,
        0.00703529,
        0.00883734,
        0.00932032,
        0.00763508,
        0.0059497,
        0.00580167,
        0.00626743,
        0.00634363,
        0.00660532,
        0.00695186,
        0.00654004,
        0.00648067,
        0.00717567,
        0.00800304,
        0.00886168,
        0.00999796,
        0.00827277,
        0.0070781,
        0.00761611,
        0.00886019,
        0.00997545,
        0.0109382,
        0.0102378,
        0.00843833,
        0.00693696,
        0.00621641,
        0.00584998,
        0.00578547,
        0.00544752,
        0.00523779,
        0.00547273,
        0.00642896,
        0.00778655,
        0.0097812,
        0.00966874,
        0.0074329,
        0.0062274,
        0.00583128,
        0.00532839,
        0.00568657,
        0.00551104,
        0.00465633,
        0.00467371,
        0.0050799,
        0.00533509,
        0.00513743,
        0.00506226,
        0.00515688,
        0.00502425,
        0.00495939,
        0.00519186,
        0.0053662,
        0.00511601,
        0.0046047,
        0.00507816,
        0.0056077,
        0.00583627,
        0.00593043,
        0.00753737,
        0.00958032,
        0.00984666,
        0.00769183,
        0.00515143,
        0.00364998,
        0.00298376,
        0.00299042,
        0.0034213,
        0.00368378,
        0.00478961,
        0.00591018,
        0.00614052,
        0.00647123,
        0.00704375,
        0.00704685,
        0.00688556,
        0.00715368,
        0.00761791,
        0.00769627,
        0.00785207,
        0.00900667,
        0.0108309,
        0.0152655,
        0.017333,
        0.0170255,
        0.0141246,
        0.0140202,
        0.0153035,
        0.0134278,
        0.0118009,
        0.00964749,
        0.0083776,
        0.00776656,
        0.00727847,
        0.00713408,
        0.0067844,
        0.00608765,
        0.00567669,
        0.0059681,
        0.00616324,
        0.00589523,
        0.00581306,
        0.00591971,
        0.00651134,
        0.00735496,
        0.00729573,
        0.0065683,
        0.00658662,
        0.0068493,
        0.00714306,
        0.00845739,
        0.00920178,
        0.0084542,
        0.00849906,
        0.00922332,
        0.00919635,
        0.00825206,
        0.00767186,
        0.00685514,
        0.00642441,
        0.0063826,
        0.00689356,
        0.00716228,
        0.00705853,
        0.00795578,
        0.00809498,
        0.00829492,
        0.0082005,
        0.00902041,
        0.0101309,
        0.0125271,
        0.0145053,
        0.0144462,
        0.0148983,
        0.0188482,
        0.0242569,
        122.33,
        0.0227825,
        0.0214508,
        0.021947,
        0.0200319,
        0.0156801,
        0.0136629,
        0.0135774,
        0.0132292,
        0.0119716,
        0.0105172,
        0.00931885,
        0.00872846,
        0.0081254,
        0.00959873,
        0.0118373,
        0.0108754,
        0.0082891,
        0.00771241,
        0.00696887,
        0.00640519,
        0.00691817,
        0.00690451,
        0.00707697,
        0.00777301,
        0.00774803,
        0.00754833,
        0.00752338,
        0.00736899,
        0.00731375,
        0.00786747,
        0.00910036,
        0.0095507,
        0.00858884,
        0.0075558,
        0.00651776,
        0.00679167,
        0.00713639,
        0.00775116,
        0.00827116,
        0.00801105,
        0.00839712,
        0.00889113,
        0.00955001,
        0.0101456,
        0.0101976,
        0.0122285,
        0.0168162,
        0.0208644,
        0.0216567,
        0.0195945,
        0.0160096,
        0.0120062,
        0.00913553,
        0.00873159,
        0.00872731,
        0.00835634,
        0.00726446,
        0.00683747,
        0.0070949,
        0.00718916,
        0.00624526,
        0.00586442,
        0.00617625,
        0.00614657,
        0.00614278,
        0.00595907,
        0.00554553,
        0.00559698,
        0.00538568,
        0.00522101,
        0.00519961,
        0.0049066,
        0.00448797,
        0.00382305,
        0.00364168,
        0.0037734,
        0.00464534,
        0.00513195,
        0.0052551,
        0.00530401,
        0.00498901,
        0.00502716,
        0.0055106,
        0.00576799,
        0.00592588,
        0.00554621,
        0.00521848,
        0.00528468,
        0.00548285,
        0.00572696,
        0.00566725,
        0.00528375,
        0.00506373,
        0.00536791,
        0.00589724,
        0.00593834,
        0.0059204,
        0.0060531,
        0.00572889,
        0.00553047,
        0.00557288,
        0.00582788,
        0.00518931,
        0.00492349,
        0.00506814,
        0.00544823,
        0.00614022,
        0.00707797,
        0.00789336,
        0.00800118,
        0.00768079,
        0.00745187,
        0.0064715,
        0.00566099,
        0.00512864,
        0.00550886,
        0.00515077,
        0.0049518,
        0.00435657,
        0.00454092,
        0.0045812,
        0.0047137,
        0.00465749,
        0.00427024,
        0.00426649,
        0.00460846,
        0.00500629,
        0.00479909,
        0.0048704,
        0.00471373,
        0.00460229,
        0.00421734,
        0.00435489,
        0.0047363,
        0.00481442,
        0.00495908,
        0.00491752,
        0.00482937,
        0.00529481,
        0.00527591,
        0.00455733,
        0.00467575,
        0.00484798,
        0.00481838,
        0.004882,
        0.00475506,
        0.00446711,
        0.00434551,
        0.00465788,
        0.00502032,
        0.00497665,
        0.00496473,
        0.00502595,
        0.00502655,
        0.00494977,
        0.00475102,
        0.00493198,
        0.005323,
        0.005409,
        0.00560559,
        0.00611842,
        0.00704664,
        0.00703084,
        0.00749015,
        0.00830829,
        0.00793793,
        0.00679915,
        0.00638086,
        0.00619675,
        0.00598433,
        0.00578786,
        0.00556717,
        0.00590421,
        0.00640215,
        0.00707084,
        0.0063231,
        0.00571188,
        0.00577021,
        0.00605808,
        0.0058979,
        0.00534669,
        0.00457036,
        0.00430989,
        0.00449902,
        0.00456337,
        0.00463142,
        0.00488159,
        0.0048601,
        0.00492458,
        0.00480752,
        0.00482919,
        0.00488457,
        0.00476883,
        0.00473755,
        0.00458409,
        0.00446193,
        0.00480673,
        0.0053387,
        0.00514235,
        0.00465619,
        0.00480781,
        0.00477479,
        0.00453345,
        0.00469163,
        0.00458123,
        0.00469934,
        0.00507598,
        0.00487867,
        0.00462282,
        0.00476761,
        0.00440313,
        0.00410176,
        0.00427432,
        0.00435938,
        0.0047079,
        0.00488389,
        0.00453859,
        0.00447532,
        0.00450997,
        0.00472933,
        0.00501398,
        0.00505468,
        0.00507321,
        0.00505114,
        0.00507439,
        0.0050938,
        0.00494652,
        0.00469742,
        0.00448012,
        0.00445115,
        0.00471258,
        0.00484107,
        0.00467026,
        0.00471244,
        0.00444018,
        0.00452426,
        0.00456523,
        0.00482718,
        0.00466233,
        0.0044935,
        0.00461222,
        0.00447099,
        0.00467495,
        0.00478415,
        0.00476105,
        0.00493337,
        0.00485013,
        0.0047074,
        0.00468413,
        0.00471654,
        0.00466353,
        0.00465563,
        0.00458572,
        0.00461517,
        0.00437488,
        0.0044941,
        0.00450218,
        0.00430438,
        0.00425968,
        0.00414738,
        0.00400803,
        0.00414542,
        0.00442273,
        0.00456444,
        0.00477146,
        0.00485594,
        0.00468393,
        0.00453286,
        0.00452996,
        0.00461703,
        0.00484572,
        0.00513227,
        0.00538263,
        0.00600266,
        0.00623065,
        0.00574169,
        0.00548592,
        0.00582427,
        0.00598463,
        0.00558479,
        0.00536587,
        0.00530053,
        0.00509723,
        0.00481407,
        0.00427051,
        0.00416509,
        0.00433246,
        0.00440607,
        0.00426765,
        0.00450461,
        0.00480071,
        0.00471277,
        0.00434745,
        0.00416568,
        0.00449958,
        0.00456413,
        0.004374,
        0.00420013,
        0.0047995,
        0.00448403,
        0.00471622,
        0.00481835,
        0.0046306,
        0.00469606,
        0.00436452,
        0.00433542,
        0.00489832,
        0.00520445,
        0.0048878,
        0.00441303,
        0.0041234,
        0.00453417,
        0.00480761,
        0.00483709,
        0.00474984,
        0.00482166,
        0.00498215,
        0.00480777,
        0.00470158,
        0.0050319,
        0.00547221,
        0.00538069,
        0.00515689,
        0.00524245,
        0.00518577,
        0.0050592,
        0.00497951,
        0.00513915,
        0.00547329,
        0.00525551,
        0.00532715,
        0.00554425,
        0.00591742,
        0.00635199,
        0.00727998,
        0.00784953,
        0.00874685,
        0.00933336,
        0.00923764,
        0.00837404,
        0.00647658,
        0.00450191,
        0.00369867,
        0.00351234,
        0.00347332,
        0.00381678,
        0.00449808,
        0.00540443,
        0.00587716,
        0.00590202,
        0.00623244,
        0.00667905,
        0.00702048,
        0.00712315,
        0.00758109,
        0.00824305,
        0.00913997,
        0.0100597,
        0.0111599,
        0.013941,
        0.0191446,
        0.0178397,
        0.0125285,
        0.0101726,
        0.0093584,
        0.00817024,
        0.00731344,
        0.00699359,
        0.00648692,
        0.00612276,
        0.00559275,
        0.00548156,
        0.0055464,
        0.0055104,
        0.00538449,
        0.00537547,
        0.00587335,
        0.00589887,
        0.00528465,
        0.00501476,
        0.00528002,
        0.00514139,
        0.0052036,
        0.00511466,
        0.00500242,
        0.0049957,
        0.00466807,
        0.00477017,
        0.00483824,
        0.0047593,
        0.00464278,
        0.00505268,
        0.00485693,
        0.00437829,
        0.00462148,
        0.00466126,
        0.00471437,
        0.00494826,
        0.00508994,
        0.0051033,
        0.00479229,
        0.00435597,
        0.00450369,
        0.00497796,
        0.00545449,
        0.00520736,
        0.00488704,
        0.00476418,
        0.00430125,
        0.00417982,
        0.00448154,
        0.00450206,
        0.0046956,
        0.00491075,
        0.00504441,
        0.00487043,
        0.00476001,
        0.00476895,
        0.00465023,
        0.00466675,
        0.00452485,
        0.00495039,
        0.00506387,
        0.00490058,
        0.00462631,
        0.00422849,
        0.00427099,
        0.00408325,
        0.00461344,
        0.00514826,
        0.00493242,
        0.00449417,
        0.00427851,
        0.00445678,
        0.00463427,
        0.00455304,
        0.00491173,
        0.00544699,
        0.00569491,
        0.00512016,
        0.00516483,
        0.00616935,
        0.00692253,
        0.0067343,
        0.00641355,
        0.00635765,
        0.00555319,
        0.00508059,
        0.00484259,
        0.00465545,
        0.00457027,
        0.00452142,
        0.00482035,
        0.00471522,
        0.00452968,
        0.00399168,
        0.00333139,
        0.0034548,
        0.00382101,
        0.00410799,
        0.0042557,
        0.00448002,
        0.00451424,
        0.00491578,
        0.00554799,
        0.00628512,
        0.00645072,
        0.00626705,
        0.00605819,
        0.00571961,
        0.00586351,
        0.00583959,
        0.00539925,
        0.00511582,
        0.00492632,
        0.00448426,
        0.00514295,
        0.00559825,
        0.00602908,
        0.00560694,
        0.00478482,
        0.0048026,
        0.00566572,
        0.00586527,
        0.00536781,
        0.00517388,
        0.00522451,
        0.008758,
        0.0080354,
        0.00767881,
        0.007153,
        0.00736628,
        0.00850115,
        0.0102925,
        0.0118637,
        0.0106997,
        0.00842238,
        0.00723308,
        0.00745921,
        0.00796992,
        0.00654481,
        0.00508686,
        0.00482384,
        0.00473615,
        0.0048418,
        0.00491577,
        0.00518703,
        0.00589512,
        0.0063943,
        0.00632763,
        0.00561005,
        0.00507551,
        0.00508743,
        0.00524788,
        0.00512418,
        0.00498493,
        0.00468495,
        0.00477533,
        0.00546587,
        0.00585294,
        0.00606955,
        0.0061255,
        0.00582773,
        0.00557933,
        0.00655666,
        0.00754358,
        0.00720294,
        0.0059763,
        0.00544788,
        0.00549514,
        0.00539059,
        0.0060375,
        0.00670003,
        0.00723232,
        0.00753858,
        0.00644414,
        0.00538178,
        0.00510088,
        0.00445613,
        0.00432614,
        0.00474594,
        0.00532708,
        0.00589078,
        0.00647755,
        0.00597038,
        0.00532568,
        0.0053796,
        0.00561547,
        0.00556321,
        0.00509043,
        0.00504343,
        0.00482797,
        0.00502772,
        0.00503067,
        0.00462343,
        0.00459563,
        0.00531131,
        0.00558142,
        0.00571089,
        0.00603577,
        0.00586309,
        0.00563046,
        0.00547763,
        0.00544899,
        0.00558162,
        0.00542641,
        0.00526996,
        0.00550314,
        0.00577859,
        0.00579685,
        0.0064054,
        0.00769476,
        0.00805876,
        0.00730816,
        0.00655663,
        0.00592378,
        0.00547951,
        0.00555746,
        0.00546654,
        0.0056957,
        0.00693164,
        0.00750062,
        0.00638823,
        0.00528635,
        0.00483154,
        0.00451447,
        0.00463997,
        0.00505192,
        0.00521928,
        0.00502632,
        0.00514213,
        0.00662528,
        0.00758602,
        0.00685585,
        0.0058198,
        0.00536629,
        0.00554218,
        0.00618844,
        0.00605187,
        0.00546743,
        0.00557447,
        0.00594245,
        0.00608804,
        0.00665483,
        0.00738929,
        0.00814589,
        0.00752921,
        0.00650094,
        0.00597745,
        0.00606576,
        0.00635112,
        0.0068021,
        0.00712488,
        0.00648298,
        0.00549793,
        0.00533764,
        0.00524729,
        0.00520252,
        0.00551304,
        0.00626384,
        0.00644663,
        0.0065432,
        0.00620537,
        0.00555491,
        0.00505802,
        0.00507517,
        0.00535667,
        0.00537295,
        0.00556767,
        0.00595786,
        null,
        0.00652059,
        0.00763256,
        0.00761656,
        0.00733004,
        0.00699926,
        0.00637616,
        0.00593764,
        0.00549586,
        0.0055137,
        0.00574229,
        0.00547406,
        0.00533475,
        0.00573922,
        0.00585924,
        0.00632155,
        0.00626348,
        0.00586167,
        0.00582956,
        0.00603034,
        0.00644495,
        0.00666134,
        0.00669815,
        0.00686744,
        0.00756319,
        0.00720878,
        0.0069045,
        0.00674583,
        0.00667326,
        0.0071252,
        0.00738397,
        0.00767685,
        0.00721478,
        0.00627836,
        0.00591677,
        0.00587924,
        0.00558854,
        0.00537011,
        0.00531761,
        0.00528082,
        0.00535061,
        0.00481012,
        0.00443474,
        0.00489294,
        0.00521991,
        0.00529913,
        0.00527721,
        0.00538072,
        0.00601985,
        0.00697412,
        0.00820531,
        0.0102593,
        0.0112406,
        0.0105989,
        0.00851797,
        0.00656955,
        0.00569913,
        0.00555857,
        0.0053109,
        0.00454626,
        0.00445264,
        0.00449717,
        0.00425858,
        0.00444022,
        0.00456966,
        0.00471823,
        0.00451809,
        0.00475514,
        0.00478687,
        0.00435221,
        0.00410834,
        0.00479894,
        0.00520984,
        0.00587338,
        0.00762076,
        0.00880594,
        0.00817932,
        0.00748408,
        0.00686642,
        0.00579568,
        0.00502172,
        0.00466263,
        0.00466362,
        0.00468281,
        0.00475092,
        0.00445313,
        0.00451634,
        0.00461177,
        0.00409694,
        0.00402217,
        0.00381009,
        0.00390631,
        0.00436021,
        0.00461089,
        0.00474273,
        0.00481443,
        0.0046081,
        0.0047134,
        0.00611767,
        0.00648478,
        0.00580091,
        0.00552764,
        0.00524211,
        0.00517349,
        0.00504961,
        0.00520872,
        0.00508425,
        0.00443042,
        0.00438349,
        0.00439604,
        0.00433523,
        0.00459149,
        0.0049454,
        0.00495716,
        0.00471075,
        0.00447182,
        0.00442663,
        0.00463876,
        0.0050697,
        0.00512923,
        0.00506494,
        0.00471736,
        0.00472663,
        0.00473091,
        0.00498049,
        0.00488154,
        0.00479844,
        0.00468929,
        0.00470719,
        0.00516934,
        0.00523478,
        0.00546588,
        0.005703,
        0.0058793,
        0.00618877,
        0.00559611,
        0.00464089,
        0.00450893,
        0.00511837,
        0.0056337,
        0.00495455,
        0.00454588,
        0.00491217,
        0.00553708,
        0.00666271,
        0.00685928,
        0.0054733,
        0.00507006,
        0.00556931,
        0.00452997,
        0.00447357,
        0.004801,
        0.00457129,
        0.00432117,
        0.00464032,
        0.00451742,
        0.00459456,
        0.00434638,
        0.00445652,
        0.00439598,
        0.00447542,
        0.0051016,
        0.00572311,
        0.00515777,
        0.00429091,
        0.00375557,
        0.00380792,
        0.00398546,
        0.00415651,
        0.00443863,
        0.00461028,
        0.0046208,
        0.00463215,
        0.00504281,
        0.00537896,
        0.00650479,
        0.00679113,
        0.0072458,
        0.0080457,
        0.00795072,
        0.00659992,
        0.004972,
        0.00468047,
        0.00490741,
        0.00480122,
        0.00429629,
        0.00416973,
        0.00468394,
        0.00432069,
        0.00411745,
        0.0040874,
        0.00383538,
        0.00406225,
        0.00443559,
        0.00432063,
        0.00457061,
        0.00472045,
        0.00438818,
        0.00426635,
        0.00422049,
        0.00439016,
        0.0047798,
        0.00581212,
        0.00689677,
        0.00662178,
        0.00578594,
        0.00530487,
        0.00486477,
        0.00427284,
        0.00418386,
        0.00419901,
        0.00484908,
        0.00499429,
        0.00454513,
        0.00486633,
        0.00443552,
        0.0046142,
        0.00489501,
        0.00513909,
        0.00536996,
        0.00495837,
        0.00486955,
        0.00528185,
        0.00543803,
        0.00558112,
        0.00622209,
        0.00677922,
        0.00662661,
        0.00649446,
        0.00647691,
        0.00638977,
        0.00578058,
        0.00546484,
        0.00556249,
        0.00538456,
        0.00542305,
        0.00556178,
        0.00594204,
        0.00644113,
        0.00630268,
        0.0054556,
        0.00494728,
        0.00502796,
        0.00482102,
        0.00450485,
        0.00496351,
        0.00482768,
        0.00499692,
        0.00489482,
        0.00481069,
        0.00489748,
        0.00488045,
        0.00479715,
        0.00480047,
        0.00497544,
        0.00521385,
        0.0054771,
        0.00634658,
        0.00714109,
        0.00772626,
        0.00688059,
        0.00594092,
        0.0057189,
        0.00534885,
        0.00560405,
        0.00528969,
        0.00486318,
        0.00485914,
        0.00469572,
        0.00478927,
        0.00472988,
        0.0047631,
        0.00498538,
        0.00475929,
        0.00462277,
        0.00498393,
        0.00500903,
        0.00464602,
        0.00399498,
        0.00342472,
        0.00387312,
        0.00453762,
        0.00483235,
        0.00459786,
        0.0035788,
        0.00304096,
        0.00329841,
        0.00408513,
        0.00568433,
        0.0080276,
        0.0076963,
        0.00610862,
        0.00539977,
        0.00564907,
        0.00574183,
        0.00591973,
        0.00608899,
        0.00649686,
        0.00671554,
        0.00667982,
        0.00716635,
        0.0086614,
        0.011535,
        0.0138196,
        0.0147678,
        0.0125442,
        0.0101501,
        0.0086231,
        0.00734412,
        0.00668838,
        0.00666177,
        0.00585403,
        0.0053235,
        0.00532302,
        0.00493217,
        0.00449934,
        0.00409002,
        0.00385473,
        0.0039305,
        0.00418761,
        0.00445011,
        0.00461819,
        0.00459737,
        0.00429204,
        0.00424701,
        0.00481381,
        0.00487804,
        0.00488889,
        0.00528157,
        0.00558513,
        0.00603769,
        0.0061793,
        0.00573783,
        0.00528631,
        0.00524639,
        0.00580949,
        0.00741847,
        0.00731037,
        0.00635011,
        0.00557934,
        0.00489832,
        0.00517477,
        0.00560797,
        0.00670094,
        0.00869198,
        0.00851174,
        0.00711621,
        0.00573856,
        0.00528124,
        0.00514719,
        0.00530497,
        0.00529195,
        0.00525175,
        0.0052254,
        0.00480893,
        0.00505451,
        0.00490757,
        0.00485731,
        0.00492808,
        0.00488874,
        0.00496865,
        0.00463358,
        0.00432659,
        0.0045437,
        0.00474321,
        0.0046876,
        0.00475329,
        0.0049962,
        0.0050961,
        0.00497099,
        0.0046623,
        0.00447391,
        0.00434862,
        0.00417454,
        0.00451964,
        0.0049394,
        0.00473352,
        0.00460826,
        0.00489895,
        0.00555532,
        0.00644817,
        0.00803224,
        0.0100507,
        0.0110377,
        0.00881085,
        0.00635847,
        0.00543009,
        0.00533004,
        0.00551106,
        0.00600527,
        0.00655653,
        0.00643927,
        0.0063572,
        0.00558113,
        0.00494184,
        0.00486921,
        0.00476144,
        0.00477876,
        0.00493236,
        0.00443136,
        0.00402837,
        0.0043557,
        0.00435442,
        0.00409769,
        0.00425467,
        0.00484652,
        0.00478038,
        0.00438459,
        0.00467284,
        0.00536254,
        0.00589658,
        0.00549056,
        0.00445041,
        0.00387554,
        0.0038332,
        0.00389245,
        0.00386908,
        0.00386404,
        0.00412855,
        0.00456906,
        0.00492517,
        0.00532316,
        0.00453411,
        0.00388143,
        0.00429223,
        0.0042437,
        0.0039936,
        0.00377109,
        0.00404964,
        0.00399893,
        0.00370661,
        0.00398274,
        0.0037544,
        0.00396659,
        0.00435151,
        0.00473424,
        0.00500638,
        0.0047161,
        0.00442148,
        0.0043819,
        0.00432469,
        0.00437649,
        0.00525545,
        0.00616633,
        0.00654292,
        0.0064963,
        0.00575394,
        0.00462924,
        0.00455478,
        0.00464868,
        0.0041969,
        0.00459717,
        0.00481003,
        0.00491058,
        0.00527181,
        0.00538553,
        0.00487279,
        0.00458685,
        0.00463523,
        0.00435275,
        0.0046174,
        0.0048492,
        0.00562982,
        0.00602649,
        0.0071997,
        0.00669711,
        0.0059718,
        0.00608945,
        0.00541902,
        0.0048204,
        0.00456325,
        0.00455623,
        0.0043298,
        0.00438275,
        0.00431777,
        0.00445337,
        0.00482279,
        0.00463096,
        0.00258483,
        0.00351473,
        0.212262,
        0.197678,
        0.0183984,
        0.0153084,
        0.00990481,
        0.00782441,
        0.00603735,
        0.00483311,
        0.00478964,
        0.00456938,
        0.00454556,
        0.00477307,
        0.00507606,
        0.00527858,
        0.00535084,
        0.00590896,
        0.00792674,
        0.0105549,
        0.0113612,
        0.00796353,
        0.00572608,
        0.00525372,
        0.00465292,
        0.00418357,
        0.00472289,
        0.00435591,
        0.00416741,
        0.00442231,
        0.00489016,
        0.00434583,
        0.00414447,
        0.00447424,
        0.00445689,
        0.00451769,
        0.00570442,
        0.00735641,
        0.0075594,
        0.00663155,
        0.00534451,
        0.00466156,
        0.00481773,
        0.00525255,
        0.00526791,
        0.00473549,
        0.00458587,
        0.00475002,
        0.00459084,
        0.00440005,
        0.00450771,
        0.00440077,
        0.0041925,
        0.00420209,
        0.00444012,
        0.00442477,
        0.00410226,
        0.0041958,
        0.00428454,
        0.00422925,
        0.00468846,
        0.0053176,
        0.00507531,
        0.00479917,
        0.00411388,
        0.00391781,
        0.00452684,
        0.00446861,
        0.00413567,
        0.0040117,
        0.00454221,
        0.00583781,
        0.00646084,
        0.00599536,
        0.00466226,
        0.00521424,
        0.00657325,
        0.0078147,
        0.00789369,
        0.00634122,
        0.00528957,
        0.00532944,
        0.00648361,
        0.0058114,
        0.00517234,
        0.0053438,
        0.0056662,
        0.0058548,
        0.00554593,
        0.00497382,
        0.00492287,
        0.00478322,
        0.00507509,
        0.00496519,
        0.00483653,
        0.0049115,
        0.00498773,
        0.00513102,
        0.00512952,
        0.00473745,
        0.00503322,
        0.00492368,
        0.00474312,
        0.00478905,
        0.00502636,
        0.00522151,
        0.00477372,
        0.0047712,
        0.0054001,
        0.00578469,
        0.00567933,
        0.00553682,
        0.00509664,
        0.00537167,
        0.00617645,
        0.00733553,
        0.00821304,
        0.00847665,
        0.00885742,
        0.00934292,
        0.00986126,
        0.0117148,
        0.0117724,
        0.010782,
        0.00931922,
        0.00846497,
        0.00948404,
        0.0109037,
        0.0127032,
        0.0123879,
        0.0149399,
        0.02094,
        0.0243009,
        0.0211897,
        0.0173304,
        0.0133047,
        0.0112524,
        0.0106271,
        0.0105903,
        0.0117901,
        0.0126237,
        0.0110939,
        0.00824201,
        0.00705274,
        0.00642796,
        0.00580443,
        0.00565127,
        0.00546756,
        0.00500864,
        0.00520984,
        0.00554886,
        0.0051845,
        0.00496168,
        0.00459096,
        0.00413432,
        0.00414442,
        0.00433352,
        0.00455757,
        0.00466886,
        0.00486161,
        0.0048615,
        0.00535666,
        0.00595431,
        0.00540204,
        0.00483045,
        0.00434756,
        0.00430851,
        0.00423913,
        0.0044839,
        0.0044231,
        0.0040993,
        0.00434844,
        0.00473827,
        0.00557029,
        0.00688968,
        0.0070876,
        0.00582296,
        0.00479433,
        0.00452466,
        0.00429923,
        0.00418761,
        0.0043804,
        0.00461383,
        0.0044122,
        0.00431849,
        0.00425067,
        0.00371419,
        0.0033442,
        0.00349421,
        0.00408593,
        0.00509708,
        0.00691913,
        0.00843659,
        0.00739576,
        0.00553291,
        0.00503237,
        0.00494063,
        0.00456242,
        0.00424238,
        0.00405653,
        0.004388,
        0.00479193,
        0.00484641,
        0.00468689,
        0.00450246,
        0.00455473,
        0.00469448,
        0.00451845,
        0.00430959,
        0.00470712,
        0.00449569,
        0.00405108,
        0.00430947,
        0.0048578,
        0.00454184,
        0.00479896,
        0.00511134,
        0.00569365,
        0.0068844,
        0.00691564,
        0.00650288,
        0.00568312,
        0.0048901,
        0.00458724,
        0.00501265,
        0.005562,
        0.0055638,
        0.00543091,
        0.00522715,
        0.0048637,
        0.00434449,
        0.00455317,
        0.00501423,
        0.00525503,
        0.00519308,
        0.00539773,
        0.00684168,
        0.00931331,
        0.0115905,
        0.012418,
        0.0108106,
        0.00772499,
        0.00603563,
        0.00588015,
        0.00569403,
        0.00554396,
        0.00537775,
        0.00540457,
        0.00584921,
        0.00683453,
        0.00699099,
        0.00669487,
        0.00736124,
        0.00828358,
        0.00901958,
        0.00796711,
        0.00604797,
        0.00396744,
        0.00298227,
        0.00267858,
        0.00285688,
        0.00318812,
        0.00390835,
        0.00466337,
        0.00477732,
        0.00509328,
        0.00491603,
        0.00524781,
        0.00518155,
        0.00514818,
        0.00565848,
        0.00680403,
        0.00774638,
        0.00846653,
        0.00968274,
        0.0100438,
        0.0122746,
        0.0164881,
        0.0163802,
        0.014317,
        0.0139709,
        0.0151691,
        0.0137875,
        0.0140051,
        0.0112678,
        0.00823103,
        0.00719815,
        0.00630772,
        0.00537885,
        0.0050485,
        0.00512489,
        0.00499371,
        0.00465342,
        0.0045765,
        0.0048774,
        0.00439723,
        0.00415579,
        0.00458994,
        0.00458585,
        0.00425534,
        0.00436058,
        0.00476721,
        0.00518248,
        0.00522108,
        0.00475306,
        0.00458021,
        0.00417493,
        0.00405889,
        0.00408955,
        0.00408636,
        0.00429071,
        0.0041335,
        0.00411154,
        0.00447666,
        0.00470641,
        0.00437333,
        0.00436758,
        0.00443296,
        0.00462247,
        0.00500171,
        0.00480152,
        0.00437862,
        0.00465251,
        0.0053618,
        0.00608611,
        0.00672012,
        0.00692431,
        0.00630515,
        0.00597434,
        0.00671497,
        0.00896422,
        0.0108486,
        0.00935611,
        0.00697549,
        0.00605271,
        0.00547457,
        0.00565041,
        0.00549618,
        0.00495179,
        0.00476405,
        0.00505203,
        0.00491157,
        0.00490126,
        0.00493671,
        0.00496626,
        0.00483512,
        0.0049263,
        0.00466088,
        0.00466743,
        0.00492833,
        0.00523853,
        0.00577343,
        0.00618651,
        0.0081398,
        0.00903513,
        0.00476109,
        0.00489069,
        0.00458334,
        0.004804,
        0.00505859,
        0.0050481,
        0.00515309,
        0.00453338,
        0.00429449,
        0.00424525,
        0.00433597,
        0.00493287,
        0.00613653,
        0.00649458,
        0.0052187,
        0.00462463,
        0.00432716,
        0.00453931,
        0.00509678,
        0.00470479,
        0.00456558,
        0.00486375,
        0.00479953,
        0.00504039,
        0.00448676,
        0.00456662,
        0.0043562,
        0.00455164,
        0.00526497,
        0.00640588,
        0.0064648,
        0.0062072,
        0.00527167,
        0.00471652,
        0.00487208,
        0.00448146,
        0.00484188,
        0.004849,
        0.0049355,
        0.00458222,
        0.00480492,
        0.00571058,
        0.00678996,
        0.00819622,
        0.00728341,
        0.00554404,
        0.00459333,
        0.0045664,
        0.00486811,
        0.00494764,
        0.00478561,
        0.00440115,
        0.00433846,
        0.00404386,
        0.0039001,
        0.00437,
        0.00455686,
        0.00435369,
        0.00457612,
        0.00474538,
        0.00503887,
        0.00495568,
        0.00498416,
        0.00513486,
        0.00570274,
        0.00620201,
        0.00714313,
        0.00890228,
        0.00815326,
        0.00714589,
        0.00700441,
        0.00654715,
        0.00594431,
        0.00535318,
        0.00513654,
        0.00554021,
        0.00576592,
        0.00539305,
        0.00586979,
        0.00663031,
        0.00707957,
        0.00718899,
        0.00757476,
        0.00804812,
        0.00922646,
        0.0102563,
        0.0113527,
        0.0132937,
        0.0188985,
        0.0265398,
        0.0271444,
        0.0209888,
        0.0153716,
        0.0123808,
        0.0106579,
        0.0100646,
        0.010854,
        0.0117672,
        0.0113533,
        0.0103319,
        0.00887647,
        0.00774349,
        0.00696953,
        0.00619599,
        0.00583765,
        0.00581001,
        0.00600117,
        0.0055907,
        0.00545492,
        0.00549864,
        0.00527114,
        0.00587439,
        0.0065705,
        0.00587225,
        0.00537437,
        0.00492933,
        0.00466735,
        null,
        0.00436889,
        0.00469488,
        0.00502086,
        0.00534684,
        0.00579235,
        0.00607175,
        0.00635381,
        0.00632534,
        0.00583862,
        0.00548315,
        0.00540588,
        0.00519593,
        0.00576498,
        0.00591602,
        0.00655928,
        0.00645058,
        0.00705227,
        0.00867,
        0.00948918,
        0.00823035,
        0.00632046,
        0.00565836,
        0.00600422,
        0.00640093,
        0.00767681,
        0.00965663,
        0.0100754,
        0.00920165,
        0.00720878,
        0.00656741,
        0.00590336,
        0.00585758,
        0.00618964,
        0.0062588,
        0.00582519,
        0.00501901,
        0.00534206,
        0.00513815,
        0.00506233,
        0.00521325,
        0.00516759,
        0.00554578,
        0.00567582,
        0.00567019,
        0.0053086,
        0.00504092,
        0.00518285,
        0.00541034,
        0.00547498,
        0.00531583,
        0.00593275,
        0.00664479,
        0.00578515,
        0.00561961,
        0.00584521,
        0.0059862,
        0.00615538,
        0.00755952,
        0.00877677,
        0.0081389,
        0.00663642,
        0.005698,
        0.00518204,
        0.00523413,
        0.0050089,
        0.00489716,
        0.00499665,
        0.00538907,
        0.00579601,
        0.00615843,
        0.00657847,
        0.00683651,
        0.00651557,
        0.00581112,
        0.00529294,
        0.00464819,
        0.00462051,
        0.00468941,
        0.0042885,
        0.00462377,
        0.00487282,
        0.00503193,
        0.00486836,
        0.00474547,
        0.00463828,
        0.00463459,
        0.00497047,
        0.00513772,
        0.00488166,
        0.00460548,
        0.00486823,
        0.00635136,
        0.00717395,
        0.00668757,
        0.00531775,
        0.0047977,
        0.00478503,
        0.00494036,
        0.00584998,
        0.00747273,
        0.00881611,
        0.00918043,
        0.00660974,
        0.00534857,
        0.00483275,
        0.00465072,
        0.00457695,
        0.00499211,
        0.00481471,
        0.00471139,
        0.00501924,
        0.00520816,
        0.00484958,
        0.00430052,
        0.00439857,
        0.00472269,
        0.00541351,
        0.00547746,
        0.0051521,
        0.00510283,
        0.00559975,
        0.00514325,
        0.00497372,
        0.00492784,
        0.00468742,
        0.00478373,
        0.00513977,
        0.00514921,
        0.00482971,
        0.00536459,
        0.005344,
        0.00556728,
        0.00631235,
        0.00681006,
        0.00729021,
        0.0076876,
        0.00757634,
        0.00682856,
        0.00605273,
        0.00592533,
        0.00602937,
        0.00542377,
        0.00481986,
        0.00531573,
        0.00504587,
        0.00509487,
        0.00482225,
        0.00501661,
        0.00508068,
        0.00521017,
        0.00530946,
        0.00541479,
        0.00556325,
        0.00517117,
        0.00457919,
        0.00446431,
        0.00469432,
        0.00509811,
        0.00477854,
        0.00450498,
        0.00507234,
        0.00648479,
        0.00823876,
        0.00857913,
        0.00718291,
        0.00583736,
        0.00549814,
        0.00520383,
        0.00547206,
        0.00518449,
        0.00545703,
        0.00620173,
        0.00669342,
        0.00667816,
        0.00787896,
        0.00888917,
        0.00857194,
        0.00724407,
        0.00598817,
        0.0054467,
        0.00577967,
        0.00768034,
        0.00974794,
        0.00774976,
        0.00668898,
        0.00629399,
        0.00605034,
        0.00594889,
        0.00634936,
        0.00555306,
        0.00454779,
        0.00380833,
        0.0034261,
        0.00415342,
        0.00471585,
        0.00527044,
        0.00563475,
        0.00627212,
        0.00613406,
        0.0066113,
        0.0064926,
        0.00635047,
        0.00670614,
        0.00693066,
        0.00725583,
        0.00851198,
        0.0104099,
        0.0129552,
        0.0155055,
        0.0113143,
        0.00892984,
        0.00792166,
        0.00753981,
        0.00652128,
        0.00569106,
        0.00626912,
        0.0065063,
        0.005969,
        0.00596247,
        0.00598144,
        0.00563136,
        0.0054192,
        0.00539884,
        0.00518835,
        0.00491217,
        0.00488018,
        0.00475417,
        0.00462618,
        0.00518876,
        0.00475234,
        0.00490879,
        0.00499686,
        0.00448244,
        0.00412846,
        0.00437338,
        0.00478446,
        0.00465983,
        0.00461497,
        0.0050391,
        0.00510322,
        0.00521131,
        0.00619571,
        0.00600478,
        0.00551634,
        0.00519041,
        0.0061064,
        0.00737012,
        0.00687932,
        0.00575193,
        0.00487952,
        0.00449142,
        0.00477969,
        0.0050297,
        0.00451113,
        0.00474443,
        0.0066336,
        0.00899373,
        0.0108145,
        0.00783569,
        0.00589591,
        0.00552331,
        0.00514739,
        0.00466513,
        0.00433765,
        0.00439056,
        0.00491026,
        0.00509155,
        0.00439487,
        0.00417209,
        0.00457855,
        0.00428528,
        0.00443551,
        0.00448028,
        0.00461943,
        0.00467825,
        0.0052822,
        0.00528441,
        0.00507768,
        0.00486868,
        0.00447777,
        0.00427029,
        0.00447282,
        0.00476416,
        0.00562687,
        0.00499453,
        0.00575555,
        0.00523917,
        0.00546128,
        0.00570377,
        0.00592155,
        0.00648614,
        0.00833982,
        0.00811182,
        0.00589013,
        0.00502683,
        0.00559475,
        0.00593585,
        0.00640141,
        0.00729922,
        0.00814206,
        0.00709172,
        0.00631297,
        0.00575471,
        0.00592859,
        0.00606596,
        0.00616523,
        0.00610429,
        0.00592376,
        0.00602472,
        0.00618982,
        0.00596092,
        0.00621205,
        0.00641062,
        0.00540868,
        0.00561157,
        0.00600403,
        0.00686395,
        0.00624982,
        0.00630118,
        0.00639625,
        0.00688193,
        0.00670958,
        0.00607102,
        0.00646297,
        0.00761786,
        0.010124,
        0.0131122,
        0.0131991,
        0.0167776,
        0.0142436,
        0.0101684,
        0.00879282,
        0.00786491,
        0.00736004,
        0.00790951,
        0.00838156,
        0.00919114,
        0.00993364,
        0.00896486,
        0.00839347,
        0.00829086,
        0.00876263,
        0.00998498,
        0.0112783,
        0.010771,
        0.0113861,
        0.0113661,
        0.0114862,
        0.0121731,
        0.0132272,
        0.0153178,
        0.0167085,
        0.0167596,
        0.0177344,
        0.0168866,
        0.0193189,
        0.0159909,
        0.0124496,
        0.0104847,
        0.00885425,
        0.00749642,
        0.00693434,
        0.00699956,
        0.00693219,
        0.00722078,
        0.00642782,
        0.00581227,
        0.0055742,
        0.00493172,
        0.00509305,
        0.0054705,
        0.0057107,
        0.00577012,
        0.00564806,
        0.00610407,
        0.00782279,
        0.00908903,
        0.00799873,
        0.00585573,
        0.00481755,
        0.00468097,
        0.00554215,
        0.00579983,
        0.00542465,
        0.00497114,
        0.00527594,
        0.00563784,
        0.00564563,
        0.00526043,
        0.00468348,
        0.00490961,
        0.00530749,
        0.00515154,
        0.0057609,
        0.00759507,
        0.00852156,
        0.00840904,
        0.00833688,
        0.0104424,
        0.0111733,
        0.00898126,
        0.00632817,
        0.00518372,
        0.00479016,
        0.00435086,
        0.00442665,
        0.00456054,
        0.0044103,
        0.00424468,
        0.00418153,
        0.00420979,
        0.00410749,
        0.00438327,
        0.00416104,
        0.00451652,
        0.00444509,
        0.00420108,
        0.0042905,
        0.00496042,
        0.00665392,
        0.00847256,
        0.00844075,
        0.00630786,
        0.00485544,
        0.0045782,
        0.00478238,
        0.00603898,
        0.00701727,
        0.00658261,
        0.00570373,
        0.00512705,
        0.00427723,
        0.00391187,
        0.00428711,
        0.00432334,
        0.00431715,
        0.00458863,
        0.00430516,
        0.0039945,
        0.00353275,
        0.00340345,
        0.00365213,
        0.00412532,
        0.00425539,
        0.00406976,
        0.0043203,
        0.00446426,
        0.00431299,
        0.00420432,
        0.00416503,
        0.0042571,
        0.00449448,
        0.00423735,
        0.00410106,
        0.00444903,
        0.00439589,
        0.00467676,
        0.0051353,
        0.00556355,
        0.00567881,
        0.00541996,
        0.00512324,
        0.00523589,
        0.00520985,
        0.00500857,
        0.00534393,
        0.00557321,
        0.00572891,
        0.00641197,
        0.00675481,
        0.00764736,
        0.00739393,
        0.00568534,
        0.00551121,
        0.00511081,
        0.00512706,
        0.00503506,
        0.00528676,
        0.00576119,
        0.00622894,
        0.00712232,
        0.00749246,
        0.00619827,
        0.00511637,
        0.00554833,
        0.00533247,
        0.00483397,
        0.0051401,
        0.00518892,
        0.00476993,
        0.00463946,
        0.00447861,
        0.00454887,
        0.00455231,
        0.00438585,
        0.0044401,
        0.00442818,
        0.00409095,
        0.00447328,
        0.00510363,
        0.0043635,
        0.00437587,
        0.00478369,
        0.00474738,
        0.00490628,
        0.00473313,
        0.00419446,
        0.0042029,
        0.00445528,
        0.0045725,
        0.00475738,
        0.00519629,
        0.00563269,
        0.00544346,
        0.00524392,
        0.00534603,
        0.00575277,
        0.00609839,
        0.00583091,
        0.00637166,
        0.00645011,
        0.00738484,
        0.00815662,
        0.00933125,
        0.00894468,
        0.00743396,
        0.00677688,
        0.00642603,
        0.00589465,
        0.00570557,
        0.00557506,
        0.00527645,
        0.00551703,
        0.00559561,
        0.00612456,
        0.00579461,
        0.00675815,
        0.0074098,
        0.00990323,
        0.0106233,
        0.0100234,
        0.00895245,
        0.00704111,
        0.00555977,
        0.00492356,
        0.00460561,
        0.00436272,
        0.00427111,
        0.00451377,
        0.00478938,
        0.00462645,
        0.00440025,
        0.00492171,
        0.00463287,
        0.00450409,
        0.0047222,
        0.00499784,
        0.00504442,
        0.0050618,
        0.0048987,
        0.0045467,
        0.00438981,
        0.00440879,
        0.00433203,
        0.00441916,
        0.0048352,
        0.00521991,
        0.00519305,
        0.00585574,
        0.00631559,
        0.00561073,
        0.00485227,
        0.00454873,
        0.00457876,
        0.00494134,
        0.00491753,
        0.00487695,
        0.00482387,
        0.00481606,
        0.00508071,
        0.00509978,
        0.005433,
        0.0061761,
        0.00715966,
        0.00613031,
        0.00498765,
        0.00490089,
        0.00471949,
        0.00451048,
        0.00480998,
        0.00517629,
        0.0049211,
        0.00483762,
        0.00490978,
        0.00506226,
        0.00529439,
        0.00496937,
        0.00463142,
        0.00477441,
        0.00488175,
        0.00510123,
        0.00497697,
        0.0052425,
        0.00557586,
        0.005614,
        0.0053499,
        0.00505506,
        0.00496559,
        0.00493515,
        0.00483967,
        0.00484422,
        0.00523001,
        0.00618353,
        0.00753514,
        0.00832452,
        0.0073876,
        0.00561895,
        0.00591253,
        0.00570784,
        0.00537973,
        0.00466919,
        0.00488546,
        0.00531473,
        0.00553696,
        0.0055579,
        0.00597308,
        0.00672422,
        0.00701288,
        0.0067323,
        0.00574691,
        0.00360166,
        0.00295149,
        0.00363926,
        0.00379675,
        0.00483454,
        0.00597642,
        0.00599077,
        0.00618534,
        0.00625014,
        0.00779455,
        0.0109675,
        0.0147018,
        0.0150206,
        0.0123,
        0.00979215,
        0.00827121,
        0.00795127,
        0.00889118,
        0.0102727,
        0.0133579,
        0.0152679,
        0.0207638,
        0.012821,
        0.0107946,
        0.00918774,
        0.00808185,
        0.00759211,
        0.00745299,
        0.00758329,
        0.00716316,
        0.0088913,
        0.0106209,
        0.0100972,
        0.00918795,
        0.00896069,
        0.00838154,
        0.00843537,
        0.00866783,
        0.00847782,
        0.0085079,
        0.00947594,
        0.0106,
        0.0106165,
        0.0104358,
        0.0114975,
        0.0114111,
        0.0104169,
        0.0116947,
        0.0132309,
        0.0133677,
        0.0148311,
        0.0141782,
        0.017635,
        0.0218595,
        null,
        0.0251862,
        0.0192037,
        0.0214167,
        0.0197986,
        0.0206207,
        0.0207839,
        0.0201238,
        0.0217166,
        0.0229716,
        0.0228688,
        0.0214502,
        0.0178537,
        0.0134692,
        0.0105127,
        0.00846385,
        0.00747564,
        0.00754489,
        0.00765053,
        0.0070834,
        0.00681023,
        0.00709091,
        0.00670921,
        0.00617016,
        0.00609639,
        0.00647618,
        0.00627346,
        0.00606159,
        0.00601904,
        0.00582065,
        0.00558476,
        0.00558557,
        0.00639404,
        0.0067914,
        0.00592422,
        0.00638043,
        0.00707014,
        0.00838833,
        0.00965378,
        0.00786571,
        0.00585282,
        0.00500198,
        0.0048727,
        0.00562126,
        0.00642467,
        0.00756593,
        0.00785573,
        0.00731417,
        0.00617685,
        0.00542021,
        0.00526546,
        0.0051041,
        0.00501164,
        0.00497451,
        0.00478917,
        0.00515674,
        0.00480921,
        0.0053407,
        0.0052112,
        0.00520255,
        0.0046831,
        0.00455205,
        0.00405472,
        0.00446904,
        0.00476017,
        0.00519437,
        0.00572892,
        0.00611038,
        0.00614787,
        0.00554149,
        0.00485109,
        0.00484903,
        0.00474927,
        0.00443518,
        0.00494399,
        0.00517581,
        0.00467278,
        0.00436833,
        0.00500299,
        0.00516308,
        0.00490273,
        0.00516144,
        0.00485183,
        0.00463066,
        0.00503844,
        0.00562418,
        0.00600699,
        0.00622084,
        0.00604893,
        0.00543146,
        0.00503511,
        0.00482542,
        0.00471452,
        0.00514679,
        0.00542902,
        0.00503798,
        0.00473589,
        0.00495916,
        0.004116,
        0.00402998,
        0.00427865,
        0.00425808,
        0.00423631,
        0.0046042,
        0.00490267,
        0.00492594,
        0.00497433,
        0.00509277,
        0.00499334,
        0.00468158,
        0.00484144,
        0.00478642,
        0.00504937,
        0.00485648,
        0.00582201,
        0.00575938,
        0.00652402,
        0.00732064,
        0.0089032,
        0.00952721,
        0.00828491,
        0.00748784,
        0.00731527,
        0.00722231,
        0.00764328,
        0.00860219,
        0.00966941,
        0.0106585,
        0.0120727,
        0.0158244,
        0.0180779,
        0.0123617,
        0.0100126,
        0.00747235,
        0.00745262,
        0.00800698,
        0.00899284,
        0.00860751,
        0.0075734,
        0.00666695,
        0.00593118,
        0.00550203,
        0.00555198,
        0.00577972,
        0.00575962,
        0.00552921,
        0.00538903,
        0.00584796,
        0.00656876,
        0.00853982,
        0.00985385,
        0.0105982,
        0.00947467,
        0.00912511,
        0.00760234,
        0.00633732,
        0.00618542,
        0.00722038,
        0.00909986,
        0.00821652,
        0.00589587,
        0.00518422,
        0.00517022,
        0.00506749,
        0.00504491,
        0.00495481,
        0.00474894,
        0.00453609,
        0.00483069,
        0.00548336,
        0.00510126,
        0.00484324,
        0.0047243,
        0.00504203,
        0.00600507,
        0.00714833,
        0.00680897,
        0.00570192,
        0.00525954,
        0.00514349,
        0.00512562,
        0.00529097,
        0.00508189,
        0.00462636,
        0.00469409,
        0.00509293,
        0.00487058,
        0.00499485,
        0.00506611,
        0.00451622,
        0.00486846,
        0.00522055,
        0.00564571,
        0.00605233,
        0.00563459,
        0.00548627,
        0.00527111,
        0.00544748,
        0.00565399,
        0.00553158,
        0.00530579,
        0.00529652,
        0.00543399,
        0.00527646,
        0.00511773,
        0.00514596,
        0.00553952,
        0.0058135,
        0.00563388,
        0.00509752,
        0.00561383,
        0.00624168,
        0.00599407,
        0.00593022,
        0.00636579,
        0.00686959,
        0.00776784,
        0.00744343,
        0.00643308,
        0.00560244,
        0.00526906,
        0.00564504,
        0.00588189,
        0.00562081,
        0.00549527,
        0.00581251,
        0.00750163,
        0.00901526,
        0.00975555,
        0.00687948,
        0.00633238,
        0.00609824,
        0.00625306,
        0.00587772,
        0.0058334,
        0.0060452,
        0.00635665,
        0.00600041,
        0.00609586,
        0.00640281,
        0.00640913,
        0.00681053,
        0.00759258,
        0.00813241,
        0.0085531,
        0.00952341,
        0.00940933,
        0.00852405,
        0.00814005,
        0.0093901,
        0.010697,
        0.0113162,
        0.0141325,
        0.0140534,
        0.0158458,
        0.0188574,
        0.0232252,
        0.0238878,
        0.0189259,
        0.0148335,
        0.0132058,
        0.0124377,
        0.0116998,
        0.0104853,
        0.00843592,
        0.00815945,
        0.00784305,
        0.00785226,
        0.00828281,
        0.00835289,
        0.00860767,
        0.00867826,
        null,
        0.00413464,
        0.00438917,
        0.0046437,
        0.00474711,
        0.00452978,
        0.00427251,
        0.00423616,
        0.0043136,
        0.0044592,
        0.00455223,
        0.00470409,
        0.00482942,
        0.00462438,
        0.00438084,
        0.00395372,
        0.00481872,
        0.00516237,
        0.00576903,
        0.00624958,
        0.00580291,
        0.00506332,
        0.0047343,
        0.00463614,
        0.00492302,
        0.00484229,
        0.00466639,
        0.00484667,
        0.00486163,
        0.00500087,
        0.00498743,
        0.00481443,
        0.00501759,
        0.00524068,
        0.00546081,
        0.00555625,
        0.00489318,
        0.00488007,
        0.00508536,
        0.00515175,
        0.00531889,
        0.00539608,
        0.00561727,
        0.00647069,
        0.00679908,
        0.00741711,
        0.00772389,
        0.00614044,
        0.00598785,
        0.00575386,
        0.00548509,
        0.00594365,
        0.00671774,
        0.00694516,
        0.00696905,
        0.00715403,
        0.00764455,
        0.0078526,
        0.00823892,
        0.00907327,
        0.00939169,
        0.00974171,
        0.0107214,
        0.0120341,
        0.0155391,
        0.0217898,
        0.0160217,
        0.0120165,
        0.00916916,
        0.0089717,
        0.00788409,
        0.007453,
        0.00663635,
        0.00637164,
        0.00599282,
        0.00608675,
        0.00576966,
        0.0058132,
        0.00554075,
        0.00527995,
        0.00530589,
        0.00540319,
        0.00557964,
        0.00561554,
        0.00562253,
        0.0057565,
        0.00618146,
        0.00761525,
        0.00945672,
        0.0103012,
        0.00932309,
        0.00693339,
        0.00585634,
        0.00570973,
        0.00491564,
        0.00524418,
        0.00588993,
        0.00640838,
        0.00692891,
        0.00564482,
        0.00473615,
        0.0044593,
        0.00472338,
        0.00470265,
        0.00460695,
        0.00486585,
        0.00508068,
        0.00484606,
        0.00455984,
        0.00468702,
        0.00712219,
        0.00614445,
        0.0056014,
        0.00528167,
        0.0050594,
        0.00532575,
        0.00579049,
        0.00553623,
        0.00560589,
        0.00616093,
        0.00642998,
        0.00675534,
        0.00711739,
        0.00654307,
        0.0063746,
        0.00655563,
        0.00604378,
        0.00563985,
        0.00554505,
        0.00544198,
        0.00531862,
        0.00497618,
        0.00468769,
        0.00487319,
        0.00484431,
        0.00457949,
        0.00461858,
        0.00468423,
        0.00464751,
        0.0046811,
        0.00461397,
        0.00485603,
        0.0053374,
        0.00464398,
        0.00471598,
        0.00553064,
        0.00611546,
        0.00622168,
        0.00504278,
        0.00533444,
        0.00512279,
        0.00487637,
        0.00521381,
        0.00587198,
        0.00519121,
        0.00471719,
        0.00686107,
        0.00775651,
        0.00675886,
        0.00575946,
        0.00504997,
        0.00495816,
        0.00448412,
        0.00429106,
        0.0043155,
        0.00424739,
        0.00459133,
        0.00489276,
        0.00468125,
        0.00453362,
        0.00466724,
        0.00462868,
        0.00433984,
        0.00466197,
        0.00477016,
        0.00435138,
        0.00477068,
        0.00498995,
        0.00515986,
        0.00481872,
        0.00454289,
        0.00508051,
        0.00563962,
        0.00496861,
        0.004947,
        0.00452468,
        0.00485011,
        0.0046755,
        0.0044877,
        0.00478906,
        0.00497386,
        0.00496849,
        0.00511,
        0.00565308,
        0.00615466,
        0.00570195,
        0.00519878,
        0.00491971,
        0.00471966,
        0.0046623,
        0.00443102,
        0.00436641,
        0.00465284,
        0.00495029,
        0.00489603,
        0.00480764,
        0.00485098,
        0.00630631,
        0.00690237,
        0.00597576,
        0.00588526,
        0.00525923,
        0.00541412,
        0.00464853,
        0.00495879,
        0.00510234,
        0.00544286,
        0.00550472,
        0.00523964,
        0.00542352,
        0.00625511,
        0.00807716,
        0.00946,
        0.00954161,
        0.00912111,
        0.00931624,
        0.00852241,
        0.00765042,
        0.0080981,
        0.00856826,
        0.00914656,
        0.0097461,
        0.0110261,
        0.0146879,
        0.0198926,
        0.0187472,
        0.0126889,
        0.0112253,
        0.0116583,
        0.0135802,
        0.0133228,
        0.0111528,
        0.00977187,
        0.00826627,
        0.00554171,
        0.00425559,
        0.00409866,
        0.00432833,
        0.00417284,
        0.00418108,
        0.00500629,
        0.0056434,
        0.00566614,
        0.00586337,
        0.00588787,
        0.00565484,
        0.00549975,
        0.00575074,
        0.00608786,
        0.00606867,
        0.0060737,
        0.00679675,
        0.0077545,
        0.00774876,
        0.0081246,
        0.0101093,
        0.0126327,
        0.0152705,
        0.020591,
        0.0166526,
        0.0135933,
        0.0132982,
        0.0123671,
        0.0139902,
        0.0150012,
        0.0201572,
        0.0241224,
        0.0245541,
        0.0222265,
        0.0197243,
        0.0161409,
        0.0131583,
        0.0114338,
        0.0107847,
        0.00926752,
        0.00767642,
        0.00756113,
        0.00754411,
        0.00708357,
        0.00697068,
        0.0072896,
        0.00777771,
        0.00802417,
        0.00691753,
        0.00626277,
        0.00565208,
        0.00561714,
        0.0057729,
        0.00496345,
        0.00536341,
        0.00445629,
        0.0051356,
        0.00526769,
        0.00520939,
        0.0051463,
        0.00483666,
        0.00409481,
        0.00481545,
        0.00504453,
        0.00432339,
        0.00433379,
        0.00435371,
        0.00430006,
        0.00433885,
        0.00457028,
        0.0046406,
        0.00529251,
        0.00574217,
        0.00527978,
        0.00451553,
        0.00414339,
        0.00446851,
        0.00484815,
        0.00479161,
        0.00480837,
        0.00491503,
        0.00464073,
        0.00431124,
        0.00436263,
        0.00425842,
        0.00438403,
        0.00416897,
        0.00374046,
        0.00350935,
        0.00403012,
        0.00455009,
        0.00475303,
        0.00455576,
        0.00476633,
        0.00450202,
        0.00430288,
        0.00462076,
        0.00515555,
        0.00576219,
        0.00639087,
        0.00646282,
        0.00535379,
        0.00494529,
        0.00465571,
        0.00513348,
        0.00514739,
        0.00585998,
        0.00594175,
        0.00552152,
        0.00507406,
        0.00511176,
        0.00489629,
        0.00481699,
        0.00512169,
        0.0048886,
        0.00491209,
        0.00496269,
        0.00499462,
        0.0059513,
        0.00608297,
        0.00572641,
        0.0053547,
        0.00563761,
        0.00579553,
        0.00598198,
        0.00600708,
        0.00557926,
        0.00518574,
        0.00562196,
        0.00576811,
        0.00702497,
        0.00737333,
        0.00581303,
        0.00551729,
        0.00576574,
        0.00562297,
        0.00578916,
        0.00617247,
        0.00673316,
        0.00665637,
        0.00688854,
        0.00760875,
        0.00760633,
        0.00760892,
        0.00778887,
        0.00779282,
        0.00766796,
        0.00853557,
        0.0108757,
        0.0134469,
        0.0182571,
        0.0173348,
        0.0137117,
        0.0110211,
        0.0100431,
        0.00887168,
        0.00908828,
        0.00992431,
        0.0099314,
        0.0068091,
        0.00617305,
        0.00590688,
        0.00561366,
        0.00564312,
        0.00598378,
        0.00750898,
        0.00740722,
        0.00653326,
        0.0063131,
        0.0062781,
        0.00623321,
        0.00590754,
        0.00621535,
        0.00617706,
        0.00595667,
        0.00592104,
        0.00561826,
        0.00569564,
        0.00542027,
        0.00510436,
        0.0051647,
        0.00521574,
        0.00529218,
        0.00549307,
        0.00550534,
        0.00561767,
        0.00588132,
        0.00567818,
        0.00518892,
        0.00498702,
        0.0050864,
        0.00518917,
        0.00515169,
        0.00531985,
        0.00570246,
        0.00600407,
        0.00617209,
        0.00644542,
        0.00690942,
        0.00707113,
        0.00696549,
        0.0073035,
        0.00778744,
        0.00782677,
        0.00710434,
        0.00712433,
        0.00712787,
        0.00600973,
        0.0053321,
        0.00587553,
        0.00539408,
        0.00506277,
        0.00519573,
        0.00539578,
        0.00509225,
        0.00489109,
        0.00524676,
        0.0050528,
        0.0049879,
        0.00596871,
        0.00681013,
        0.00711288,
        0.00698415,
        0.00610978,
        0.00555645,
        0.00523501,
        0.00525848,
        0.00582163,
        0.00575796,
        0.00544388,
        0.00611709,
        0.00750013,
        0.00779972,
        0.00705029,
        0.0069478,
        0.00650611,
        0.00572989,
        0.00605662,
        0.00636795,
        0.00584438,
        0.0060402,
        0.00630228,
        0.00609193,
        0.00585243,
        0.00575477,
        0.00595434,
        0.00588055,
        0.00614938,
        0.00806798,
        0.00913271,
        0.00805662,
        0.00649453,
        0.00629658,
        0.00664333,
        0.00609157,
        0.00616369,
        0.00571292,
        0.00578827,
        0.00601179,
        0.00537637,
        0.00504975,
        0.00522631,
        0.00537929,
        0.00537869,
        0.00543698,
        0.00586397,
        0.00599263,
        0.0057323,
        0.0052922,
        0.00493776,
        0.00509462,
        0.00545133,
        0.00606455,
        0.00673919,
        0.00705596,
        0.00719082,
        0.00734764,
        0.00702582,
        0.00727962,
        0.00699309,
        0.00687807,
        0.00642135,
        0.0058655,
        0.00625609,
        0.00599022,
        0.00664507,
        0.00728195,
        0.00636055,
        0.00745635,
        0.00775101,
        0.00704143,
        0.0074317,
        0.00615089,
        0.00629953,
        0.00769195,
        0.00677548,
        0.0085051,
        0.0105323,
        0.0122243,
        0.0129202,
        0.0132268,
        0.0126108,
        0.0137863,
        0.0121312,
        0.0119172,
        0.0117049,
        0.0116056,
        0.0118363,
        0.0120486,
        0.0115934,
        0.0120511,
        0.0134224,
        0.0141243,
        0.0160994,
        0.0253176,
        0.0191942,
        0.0158205,
        0.0146143,
        0.0132718,
        0.0125933,
        0.0140832,
        0.016937,
        0.0164244,
        0.013806,
        0.0117285,
        0.00964961,
        0.00955837,
        0.0088165,
        0.00851592,
        0.00792518,
        0.00860031,
        0.00791873,
        0.00755184,
        0.00765044,
        0.00655644,
        0.00646377,
        0.00615958,
        0.00693674,
        0.00712143,
        0.00771116,
        0.00937235,
        0.00951977,
        0.0124594,
        0.012732,
        0.0177884,
        0.0189574,
        0.0182646,
        0.0153039,
        0.0126338,
        0.00924352,
        0.0110867,
        0.0102144,
        0.00978972,
        0.00940282,
        0.00995412,
        0.0123668,
        0.0143179,
        0.0151062,
        0.0149142,
        0.0129761,
        0.0126223,
        0.0123784,
        0.0132114,
        0.0143711,
        0.0165867,
        0.0189485,
        0.025696,
        0.0229513,
        0.0232255,
        0.0225912,
        0.0233506,
        0.0263542,
        0.0264834,
        0.024908,
        0.020425,
        0.0204845,
        0.0161229,
        0.0136622,
        0.014901,
        0.0147089,
        0.017791,
        0.0190694,
        0.0275265,
        0.0189793,
        0.0164758,
        0.0149698,
        0.013504,
        0.0139726,
        0.0150472,
        0.0180282,
        0.0194331,
        null,
        0.00845603,
        0.00924776,
        0.00880598,
        0.00770936,
        0.00840999,
        0.00925474,
        0.00849628,
        0.00814078,
        0.00869717,
        0.00831042,
        0.00783298,
        0.00792561,
        0.00732028,
        0.00724162,
        0.00748095,
        0.00692421,
        0.00651152,
        0.00631642,
        0.00649178,
        0.00680505,
        0.00683043,
        0.00642751,
        0.00613016,
        0.00635543,
        0.00703351,
        0.00659396,
        0.00594705,
        0.0063811,
        0.0066692,
        0.00675528,
        0.00677168,
        0.0066756,
        0.00681718,
        0.00782442,
        0.00821528,
        0.008629,
        0.00981115,
        0.0106397,
        0.00907567,
        0.00792045,
        0.00719233,
        0.00763635,
        0.00751287,
        0.00612249,
        0.00625949,
        0.00603369,
        0.00582912,
        0.00577845,
        0.00562289,
        0.00535249,
        0.00567902,
        0.00590533,
        0.00615911,
        0.00623761,
        0.00616235,
        0.00642041,
        0.00629086,
        0.00668364,
        0.00683776,
        0.00693822,
        0.00705228,
        0.00688545,
        0.00677358,
        0.00613588,
        0.00553792,
        0.00566184,
        0.00720247,
        0.00820019,
        0.00804909,
        0.00862107,
        0.00813062,
        0.00960791,
        0.00964389,
        0.0103367,
        0.0108655,
        0.00994644,
        0.0112742,
        0.00999078,
        0.00872135,
        0.00726051,
        0.00654132,
        0.00721811,
        0.0076421,
        0.00737096,
        0.00741212,
        0.0068621,
        0.00749596,
        0.00799515,
        0.0077549,
        0.00859137,
        0.00719837,
        0.00640366,
        0.00648409,
        0.00594811,
        0.00638321,
        0.00635478,
        0.00690326,
        0.0066429,
        0.00658634,
        0.00557575,
        0.00521738,
        0.00508352,
        0.00531515,
        0.0054616,
        0.00593707,
        0.00597449,
        0.00576238,
        0.00552759,
        0.00523446,
        0.00592506,
        0.00599968,
        0.00583308,
        0.00576845,
        0.00569676,
        0.00533078,
        0.00561981,
        0.00627483,
        0.00641895,
        0.00599492,
        0.00527676,
        0.00502513,
        0.0054691,
        0.00576212,
        0.00556614,
        0.0060725,
        0.00568268,
        0.00522335,
        0.0058194,
        0.00562776,
        0.00515136,
        0.00512842,
        0.0052861,
        0.00490624,
        null,
        0.011665,
        0.00982443,
        0.00798391,
        0.00727361,
        0.00788528,
        0.00765668,
        0.00806672,
        0.00794935,
        0.007886,
        0.0083735,
        0.00924658,
        0.0101978,
        0.0113695,
        0.0104508,
        0.0101513,
        0.00980452,
        0.00848482,
        0.00768614,
        0.00730005,
        0.00718418,
        0.00684913,
        0.0075006,
        0.00776653,
        0.00747296,
        0.00758551,
        0.00646249,
        0.00675993,
        0.00653255,
        0.0066866,
        0.0066357,
        0.00644988,
        0.00597885,
        0.00664719,
        0.00765214,
        0.00763502,
        0.00771729,
        0.00786468,
        0.00848707,
        0.00777148,
        0.00815556,
        0.00817892,
        0.00877806,
        0.00927516,
        0.0096688,
        0.0101197,
        0.010886,
        0.0128932,
        0.0116912,
        0.0128843,
        0.0141058,
        0.0166237,
        0.0182529,
        0.019905,
        0.0204753,
        0.0207403,
        0.0182951,
        0.0170151,
        0.0159049,
        0.0146626,
        0.0138322,
        0.0111332,
        0.0100783,
        0.0104249,
        0.0107265,
        0.0109377,
        0.0114569,
        0.0113177,
        0.0103838,
        0.010684,
        0.00980407,
        0.00861322,
        0.00832736,
        0.00920876,
        0.00856343,
        0.0081684,
        0.00806857,
        0.00842633,
        0.00866539,
        0.00855429,
        0.00871456,
        0.00910755,
        0.00935117,
        0.0104451,
        0.0105219,
        0.0106528,
        0.0121538,
        0.0129232,
        0.0143144,
        0.0185188,
        0.0242316,
        0.0309449,
        0.0229427,
        0.0187726,
        0.0164465,
        0.0145313,
        0.0132686,
        0.011492,
        0.00986204,
        0.0095266,
        0.00744387,
        0.00719926,
        0.00770714,
        0.00797261,
        0.00842377,
        0.00830398,
        0.00755575,
        0.00746221,
        0.00767655,
        0.00719811,
        0.00693427,
        0.00776981,
        0.00790454,
        0.00763713,
        0.00768799,
        0.00795128,
        0.00757313,
        0.00691897,
        0.00751726,
        0.00690203,
        0.00738692,
        0.00724218,
        0.00632975,
        0.00624965,
        0.00655484,
        0.00684845,
        0.00654004,
        0.00642989,
        0.00663555,
        0.00650281,
        0.00687182,
        0.00642685,
        0.00684493,
        0.00745811,
        0.00744127,
        0.00724186,
        0.00724509,
        0.00775756,
        0.00825758,
        0.00887126,
        0.00900791,
        0.00998033,
        0.00982844,
        0.00890727,
        0.00819055,
        0.00734519,
        0.00685634,
        0.00693608,
        0.00747958,
        0.00771265,
        0.00722722,
        0.00732768,
        0.00728773,
        0.00738865,
        0.00713071,
        0.00699632,
        0.00736349,
        0.00757749,
        0.00736835,
        0.00709825,
        0.00682741,
        0.00708325,
        0.00749126,
        0.00740435,
        0.0079067,
        0.00832966,
        0.00829746,
        0.00840812,
        0.00861645,
        0.00895898,
        0.00907052,
        0.00811851,
        0.00723897,
        0.00719255,
        0.00712282,
        0.00684619,
        0.00727313,
        0.00702476,
        0.00649825,
        0.00615876,
        0.00679827,
        0.00721279,
        0.00741047,
        0.0071611,
        0.00626985,
        0.00687999,
        0.00598127,
        0.00659344,
        0.00664105,
        0.00650674,
        0.00650687,
        0.00793347,
        0.00756289,
        0.00782099,
        0.00749867,
        0.00777241,
        0.00732973,
        0.00788642,
        0.00771001,
        0.00742022,
        0.00649214,
        0.00620038,
        0.0067417,
        0.00770864,
        0.00741821,
        0.00752442,
        0.00825755,
        0.00809126,
        0.0073498,
        0.00657883,
        0.00676209,
        0.00710615,
        0.00786843,
        0.00840879,
        0.00764402,
        0.00695002,
        0.00738403,
        0.00758267,
        0.00715531,
        0.00634017,
        0.00631953,
        0.00637366,
        0.00648296,
        0.00632923,
        0.00694201,
        0.00735138,
        0.00759304,
        0.00777155,
        0.00773544,
        0.00833125,
        0.00791663,
        0.00758509,
        0.0080567,
        0.00828218,
        0.00856738,
        0.00838975,
        0.0082526,
        0.00879208,
        0.0086838,
        0.00814964,
        0.00760198,
        0.00814479,
        0.0082184,
        0.00889571,
        0.00898128,
        0.00931551,
        0.00852126,
        0.00949432,
        0.0100223,
        0.0123098,
        0.0122105,
        0.0134366,
        0.0146975,
        0.0184902,
        0.0220372,
        0.0244965,
        0.0304046,
        0.0234133,
        0.0184503,
        0.0156999,
        0.0141092,
        0.0135246,
        0.0131914,
        0.0123636,
        0.0115781,
        0.0118423,
        0.0110305,
        0.00992511,
        0.00977261,
        0.0093667,
        0.00872904,
        0.00817052,
        0.00849611,
        0.00821661,
        0.00732886,
        0.00743292,
        0.00819451,
        0.00832674,
        0.0083107,
        0.00869228,
        0.00868935,
        0.00849434,
        0.00791636,
        0.00758928,
        0.00768645,
        0.0071292,
        0.00701651,
        0.00682968,
        0.00721346,
        0.00742301,
        0.00623876,
        0.00695027,
        0.00704618,
        0.00713794,
        0.00731331,
        0.00666877,
        0.007527,
        0.00744668,
        0.00762585,
        0.00773945,
        0.00769857,
        0.00795504,
        0.00842222,
        0.00937101,
        0.0102712,
        0.0100398,
        0.00906217,
        0.00900177,
        0.00878848,
        0.00862362,
        0.00808675,
        0.00755202,
        0.0074275,
        0.00732813,
        0.00710805,
        0.00680434,
        0.00705034,
        0.00738843,
        0.00741482,
        0.00751039,
        0.00753828,
        0.00906036,
        0.0100586,
        0.0105608,
        0.00989706,
        0.0091483,
        0.00811148,
        0.00825337,
        0.00683683,
        0.00769409,
        0.00714485,
        0.00667202,
        0.00677544,
        0.00692635,
        0.00711346,
        0.0066063,
        0.00570517,
        0.00610889,
        0.0055381,
        0.00534313,
        0.00534967,
        0.00627929,
        0.007586,
        0.00809325,
        0.00791194,
        0.00805256,
        0.00750158,
        0.00818446,
        0.0071675,
        0.00644485,
        0.00635099,
        0.00655216,
        0.00665574,
        0.00670578,
        0.00654813,
        0.00645655,
        0.00655844,
        0.00655737,
        0.0063897,
        0.00637587,
        0.00681383,
        0.00682057,
        0.00681164,
        0.00674827,
        0.00629031,
        0.00608777,
        0.00620518,
        0.00631002,
        0.0067041,
        0.00735706,
        0.00680688,
        0.00695101,
        0.00685632,
        0.00705072,
        0.00721376,
        0.00672511,
        0.007205,
        0.00741588,
        0.00784698,
        0.00713592,
        0.00716942,
        0.00676744,
        0.0071047,
        0.00728535,
        0.00840725,
        0.00861573,
        0.00910853,
        0.00775582,
        0.00705413,
        0.00730478,
        0.00709422,
        0.0069409,
        0.00740811,
        0.00785256,
        0.00773986,
        0.00739362,
        0.00760731,
        0.00833931,
        0.00833238,
        0.0081819,
        0.00806349,
        0.00854364,
        0.00792655,
        0.00840815,
        0.00869213,
        0.00899083,
        0.00854247,
        0.00929303,
        0.0100093,
        0.00963582,
        0.0108173,
        0.0115345,
        0.0123911,
        0.0132083,
        0.014392,
        0.0174957,
        0.0202088,
        0.0209051,
        0.0305823,
        0.0261847,
        0.0214585,
        0.0183975,
        0.0154205,
        0.0134931,
        0.0131138,
        0.0128874,
        0.0125905,
        0.012516,
        0.0117289,
        0.0110211,
        0.0101233,
        0.0101241,
        0.011275,
        0.0130345,
        0.0149927,
        0.0160168,
        0.0144745,
        0.012284,
        0.0116875,
        0.0105384,
        0.00949574,
        0.00896472,
        0.0087089,
        0.00867317,
        0.00822295,
        0.00786839,
        0.00779863,
        0.00832457,
        0.00872495,
        0.00877245,
        0.0089635,
        0.00964982,
        0.0100051,
        0.00918158,
        0.00905817,
        0.00887745,
        0.00901902,
        0.00881579,
        0.00875538,
        0.0094908,
        0.00881085,
        0.00924324,
        0.00908482,
        0.00810915,
        0.00781483,
        0.00783242,
        0.00753699,
        0.00764181,
        0.00776645,
        0.00765632,
        0.00796887,
        0.00734995,
        0.00785137,
        0.00776215,
        0.00745431,
        0.00746589,
        0.00740536,
        0.008064,
        0.00824341,
        0.00833331,
        0.00914666,
        0.00863114,
        0.0077547,
        0.00729332,
        0.00711995,
        0.00740976,
        0.00728751,
        0.00665482,
        0.00620836,
        0.00645704,
        0.00719107,
        0.00739306,
        0.00656,
        0.00691295,
        0.00640077,
        0.00691446,
        0.00684333,
        0.00666114,
        0.00604418,
        0.00595018,
        0.00621401,
        0.00635389,
        0.00676459,
        0.0071676,
        0.00752942,
        0.00740716,
        0.0069181,
        0.00692646,
        0.00714047,
        0.00647547,
        0.00608995,
        0.00636651,
        0.0066394,
        0.00728802,
        0.00705378,
        0.00686472,
        0.00640221,
        0.00656989,
        0.00704107,
        0.00717843,
        0.00704962,
        0.00723107,
        0.00769611,
        0.00728734,
        0.00754334,
        0.00686501,
        0.00752268,
        0.00798046,
        0.00730557,
        0.00815838,
        0.00847271,
        0.0079088,
        0.00767624,
        0.00800578,
        0.0086354,
        0.00810443,
        0.00839444,
        0.00879819,
        0.00826796,
        0.00793116,
        0.00823269,
        0.00815755,
        0.00778216,
        0.00762652,
        0.00764118,
        0.0080625,
        0.00801007,
        0.00870863,
        0.00883268,
        0.00880414,
        0.00874435,
        0.00853918,
        0.00829461,
        0.00821341,
        0.00922062,
        0.00870356,
        0.00886591,
        0.00857246,
        0.00926865,
        0.0101268,
        0.0110262,
        0.01257,
        0.012481,
        0.0132737,
        0.0154188,
        0.0173746,
        0.0196536,
        0.0246251,
        0.027092,
        0.0299901,
        0.0292511,
        0.0237516,
        0.019734,
        0.0184787,
        0.015731,
        0.0136452,
        0.0120034,
        0.0125133,
        0.0129691,
        0.0118751,
        0.0112952,
        0.0101696,
        0.0101142,
        0.0102033,
        0.00898812,
        0.00922845,
        0.0106998,
        0.0107117,
        0.00968039,
        0.00935065,
        0.00904708,
        0.00804131,
        0.00926746,
        0.00993854,
        0.00889598,
        0.00970819,
        0.00877148,
        0.00908228,
        0.00885013,
        0.00797689,
        0.0079058,
        0.00851329,
        0.00871897,
        0.00858788,
        0.00843854,
        0.00968036,
        0.0111506,
        0.0122461,
        0.0127696,
        0.0136743,
        0.0122115,
        0.0112937,
        null,
        0.0516607,
        0.0433375,
        0.0388959,
        0.0362049,
        0.0332685,
        0.0323037,
        0.0279284,
        0.026385,
        0.0234987,
        0.0232533,
        0.0214051,
        0.0197913,
        0.0195297,
        0.0181618,
        0.0184324,
        0.0191369,
        0.0187342,
        0.0181516,
        0.0166525,
        0.016822,
        0.0173595,
        0.0175085,
        0.0168534,
        0.0158681,
        0.0156024,
        0.0165555,
        0.01691,
        0.0160595,
        0.0161824,
        0.0170234,
        0.0166337,
        0.0172321,
        0.0173166,
        0.0178582,
        0.0180398,
        0.018349,
        0.0188481,
        0.0175091,
        0.0180287,
        0.018659,
        0.0197005,
        0.0190981,
        0.0194875,
        0.0203581,
        0.0207985,
        0.0200399,
        0.0194058,
        0.0200385,
        0.02312,
        0.0249834,
        0.0254993,
        0.0272644,
        0.0294226,
        0.0297136,
        0.0326057,
        0.0355507,
        0.0370424,
        null,
        0.0345995,
        0.0340104,
        0.0306631,
        0.0256422,
        0.0233905,
        0.0216057,
        0.0203426,
        0.0203069,
        0.0202081,
        0.0198487,
        0.0187373,
        0.0169,
        0.0153914,
        0.0150682,
        0.014586,
        0.0141241,
        0.0137488,
        0.0133012,
        0.0137282,
        0.0152953,
        0.0149666,
        0.0144087,
        0.0136775,
        0.0126773,
        0.012532,
        0.0130003,
        0.0131974,
        0.0126991,
        0.0117516,
        0.0105708,
        0.0100426,
        0.0100444,
        0.0109121,
        0.0105378,
        0.0100307,
        0.0100742,
        0.00993511,
        0.00979203,
        0.00969712,
        0.0101209,
        0.0103722,
        0.0103447,
        0.010131,
        0.00971404,
        0.00914937,
        0.00952455,
        0.00993423,
        0.0103021,
        0.0100871,
        0.0100216,
        0.0100883,
        0.0104012,
        0.0102235,
        0.00999377,
        0.0102446,
        0.0097367,
        0.00934517,
        0.00967979,
        0.00950419,
        0.00931556,
        0.00925862,
        0.00928094,
        0.00918638,
        0.00893383,
        0.00861365,
        0.00847581,
        0.00849111,
        0.00822918,
        0.00830809,
        0.0086357,
        0.008988,
        0.00901883,
        0.00877257,
        0.00806769,
        0.00766264,
        0.00754486,
        0.00790901,
        0.00793842,
        0.00776296,
        0.00734627,
        0.00824515,
        0.0089167,
        0.00888547,
        0.00836057,
        0.00814482,
        0.00834273,
        0.00830984,
        0.00809857,
        0.00777667,
        0.00827198,
        0.00851768,
        0.00851831,
        0.0080399,
        0.00810592,
        0.00833132,
        0.00809007,
        0.00812384,
        0.00819456,
        0.0080978,
        0.00796393,
        0.00801846,
        0.00845947,
        0.00836808,
        0.00797558,
        0.00724496,
        0.00773517,
        0.00802662,
        0.00801258,
        0.00800844,
        0.0079991,
        0.00802188,
        0.00848057,
        0.00844063,
        0.00812746,
        0.00799729,
        0.00788404,
        0.00779046,
        0.00773951,
        0.00808008,
        0.00829179,
        0.00790882,
        0.00833262,
        0.00872445,
        0.00874502,
        0.00873061,
        0.00844289,
        0.00781095,
        0.00790797,
        0.00814738,
        0.0085184,
        0.00930268,
        0.00956978,
        0.00949136,
        0.00968336,
        0.00963715,
        0.00948216,
        0.0094531,
        0.00937016,
        0.00946873,
        0.0102017,
        0.0108322,
        0.0110445,
        0.0104209,
        0.0105345,
        0.0106878,
        0.0107088,
        0.0122922,
        0.0135616,
        0.0142889,
        0.0147926,
        0.0154906,
        0.0164047,
        0.0179527,
        0.0203796,
        0.0238226,
        0.0299042,
        0.0310854,
        0.0267371,
        0.0228169,
        0.0201528,
        0.0181904,
        0.0169625,
        0.0149391,
        0.0131807,
        0.0120987,
        0.0117465,
        0.011358,
        0.0108538,
        0.0112195,
        0.0111178,
        0.010589,
        0.00999658,
        0.00980061,
        0.00984211,
        0.00972344,
        0.00908355,
        0.00844498,
        0.00874677,
        0.00899879,
        0.00907122,
        0.00872941,
        0.00912641,
        0.00942622,
        0.00927612,
        0.00847886,
        0.00811535,
        0.00846159,
        0.00891139,
        0.00866594,
        0.00777568,
        0.00786803,
        0.0079255,
        0.00797207,
        0.00815656,
        0.00817084,
        0.00815543,
        0.00842701,
        0.00831572,
        0.00799867,
        0.00749822,
        0.00772903,
        0.0080038,
        0.00794724,
        0.00805191,
        0.00797715,
        0.00760311,
        0.00699771,
        0.00686051,
        0.00726628,
        0.00797721,
        0.00803033,
        0.00753721,
        0.00705413,
        0.00653891,
        0.00621805,
        0.0070937,
        0.00762752,
        0.0077818,
        0.00717615,
        0.00708044,
        0.00717284,
        0.00734112,
        0.00759648,
        0.00755506,
        0.00698957,
        0.00745268,
        0.00784224,
        0.0080129,
        0.0076423,
        0.00731537,
        0.00705346,
        0.0070686,
        0.00721538,
        0.00745213,
        0.00769179,
        0.0073984,
        0.00696245,
        0.00697053,
        0.00632934,
        0.00590378,
        0.00650943,
        0.00701519,
        0.00703923,
        0.00645744,
        0.00613393,
        0.00594376,
        0.00652428,
        0.00661596,
        0.00667475,
        0.0066948,
        0.00665046,
        0.00704779,
        0.00709744,
        0.00722115,
        0.00758547,
        0.00746249,
        0.0071977,
        0.0072387,
        0.0074612,
        0.00803501,
        0.00786065,
        0.00777183,
        0.00751311,
        0.00755735,
        0.00765494,
        0.00766904,
        0.00771931,
        0.00789214,
        0.00807196,
        0.00735247,
        0.00762797,
        0.00755883,
        0.00783668,
        0.00730291,
        0.00738026,
        0.007504,
        0.00744538,
        0.00733077,
        0.00687815,
        0.00718727,
        0.0076278,
        0.00712037,
        0.00711987,
        0.00744006,
        0.00795333,
        0.00867684,
        0.00852498,
        0.00797949,
        0.00735551,
        0.00733104,
        0.00784122,
        0.00797392,
        0.008098,
        0.00798719,
        0.00763131,
        0.00832007,
        0.008161,
        0.00776244,
        0.00788894,
        0.00800687,
        0.00902616,
        0.00917327,
        0.00968515,
        0.00992439,
        0.0101413,
        0.0110881,
        0.0123069,
        0.0130592,
        0.013275,
        0.0146997,
        0.0171677,
        0.017558,
        0.0180167,
        0.0247273,
        0.0322232,
        0.0264473,
        0.0221008,
        0.0196327,
        0.0173035,
        0.0155461,
        0.0148076,
        0.0141,
        0.0134051,
        0.0129342,
        0.0130436,
        0.012702,
        0.0118987,
        0.0117535,
        0.0112976,
        0.0112694,
        0.0112262,
        0.0111385,
        0.0116514,
        0.011568,
        0.0106953,
        0.0103094,
        0.0108912,
        0.0108823,
        0.0110636,
        0.0108466,
        0.0107899,
        0.0108343,
        0.0109628,
        0.010642,
        0.0099265,
        0.00967926,
        0.00969831,
        0.0102804,
        0.00991066,
        0.0100444,
        0.0108106,
        0.0104775,
        0.0108834,
        0.0110209,
        0.0112507,
        0.0108165,
        0.0110756,
        0.010776,
        0.0107694,
        0.0107058,
        0.0121515,
        0.0116178,
        0.0119968,
        0.0118205,
        0.0119151,
        0.0126202,
        0.0127753,
        0.0140242,
        0.0143416,
        0.0146804,
        0.0149364,
        0.0151966,
        0.0161605,
        0.0175892,
        0.0178189,
        0.0195563,
        0.021625,
        0.0222776,
        0.0254593,
        0.0265995,
        0.0283925,
        0.0310774,
        null,
        0.0341384,
        0.033264,
        0.0276054,
        0.0245267,
        0.0245359,
        0.0216982,
        0.0204022,
        0.0195238,
        0.0189743,
        0.0167306,
        0.0157395,
        0.0157122,
        0.0150902,
        0.0140051,
        0.0132236,
        0.0147309,
        0.0150268,
        0.0147539,
        0.0139093,
        0.0152031,
        0.0139031,
        0.0134751,
        0.012276,
        0.0103937,
        0.0085391,
        0.00811967,
        0.00785547,
        0.0088508,
        0.0104552,
        0.0106958,
        0.0118727,
        0.0123456,
        0.0130001,
        0.0135258,
        0.0132141,
        0.0135162,
        0.0139929,
        0.0142602,
        0.0137102,
        0.0143273,
        0.015351,
        0.0143637,
        0.0158643,
        0.0169087,
        0.0177722,
        0.019929,
        0.0217147,
        0.0240584,
        0.0247591,
        0.0274921,
        0.0272136,
        0.0297285,
        0.0249681,
        0.021129,
        0.0194357,
        0.0176038,
        0.0156011,
        0.0139301,
        0.0129659,
        0.0114989,
        0.011702,
        0.0108475,
        0.0096028,
        0.00853189,
        0.00867072,
        0.00956417,
        0.00881622,
        0.00791463,
        0.00859104,
        0.00776869,
        0.00769644,
        0.00841996,
        0.00890966,
        0.00865838,
        0.00817827,
        0.00855769,
        0.00849934,
        0.00817754,
        0.00810164,
        0.00853428,
        0.0081795,
        0.00786999,
        0.0080011,
        0.00812861,
        0.00815304,
        0.007858,
        0.00760828,
        0.00779412,
        0.00799856,
        0.00798961,
        0.00806939,
        0.0078233,
        0.00767018,
        0.00787857,
        0.00866363,
        0.00870359,
        0.00811885,
        0.00808113,
        0.00803906,
        0.00802424,
        0.00735201,
        0.00746774,
        0.00724652,
        0.00729626,
        0.00744788,
        0.00722093,
        0.00722233,
        0.00744849,
        0.00804996,
        0.00802322,
        0.00779082,
        0.00766732,
        0.00713091,
        0.00721371,
        0.0070939,
        0.00778004,
        0.00779538,
        0.00768293,
        0.00731494,
        0.00718765,
        0.00731459,
        0.00750559,
        0.00781886,
        0.00765195,
        0.00738363,
        0.00735848,
        0.00764544,
        0.00764933,
        0.00851867,
        0.00830787,
        0.00818155,
        0.00746667,
        0.00737848,
        0.00729163,
        0.00709851,
        0.00747968,
        0.00696278,
        0.00732835,
        0.00739733,
        0.00731758,
        0.00728215,
        0.00728029,
        0.00731718,
        0.00718907,
        0.00728945,
        0.00745468,
        0.00749776,
        0.0072627,
        0.00722999,
        0.0066455,
        0.00669688,
        0.00682701,
        0.00680722,
        0.00664139,
        0.00698677,
        0.00734169,
        0.00737647,
        0.00706432,
        0.00734692,
        0.00691927,
        0.00678368,
        0.00706236,
        0.00698967,
        0.00693984,
        0.00700585,
        0.006792,
        0.00670848,
        0.00682103,
        0.00726187,
        0.00742727,
        0.00712842,
        0.00690061,
        0.00729834,
        0.00688803,
        0.0066693,
        0.00682122,
        0.00701992,
        0.00802053,
        0.00794875,
        0.00793208,
        0.00840998,
        0.00852071,
        0.00877333,
        0.0082047,
        0.00759421,
        0.00711334,
        0.00771637,
        0.00815756,
        0.00840847,
        0.00863171,
        0.00876296,
        0.00856405,
        0.00895984,
        0.00916491,
        0.0107416,
        0.0112856,
        0.010042,
        0.0105335,
        0.0105584,
        0.0107653,
        0.0114787,
        0.0119936,
        0.0127455,
        0.0142166,
        0.0145955,
        0.0155433,
        0.0171882,
        0.0201128,
        0.0238103,
        0.0265479,
        0.0296295,
        0.0350623,
        0.0367274,
        0.0277256,
        0.0243466,
        0.0189302,
        0.0169219,
        0.0159449,
        0.0149699,
        0.0145503,
        0.0132947,
        0.0120375,
        0.0104272,
        0.00946327,
        0.00942614,
        0.00968856,
        0.00943752,
        0.00954109,
        0.00955743,
        0.00972769,
        0.00905425,
        0.00841893,
        0.0078838,
        0.00870336,
        0.00833934,
        0.00778552,
        0.00749688,
        0.00711408,
        0.00712072,
        0.00708075,
        0.00708622,
        0.00700329,
        0.00714146,
        0.00734628,
        0.00717958,
        0.00733763,
        0.00769163,
        0.00750609,
        0.00751931,
        0.00746821,
        0.0071508,
        0.00676336,
        0.00621216,
        0.00658892,
        0.00701462,
        0.00630063,
        0.00661772,
        0.00652636,
        0.00626744,
        0.00608675,
        0.00614496,
        0.00636915,
        0.00657408,
        0.00664505,
        0.00647306,
        0.00657667,
        0.00676325,
        0.00605655,
        0.00642525,
        0.00666861,
        0.00679399,
        0.00676219,
        0.0065505,
        0.00654934,
        0.00669579,
        0.00706802,
        0.00721771,
        0.00665412,
        0.00653973,
        0.00659682,
        0.00663615,
        0.00648292,
        0.00632008,
        0.00631439,
        0.00656617,
        0.00672441,
        0.00684866,
        0.00684662,
        0.00669566,
        0.00671335,
        0.00647239,
        0.00640941,
        0.00643106,
        0.00602917,
        0.00638807,
        0.006798,
        0.00659614,
        0.00649536,
        0.00656369,
        0.00682278,
        0.00681418,
        0.00667221,
        0.00632681,
        0.0068058,
        0.00720594,
        0.00715153,
        0.00699191,
        0.00704433,
        0.00681419,
        0.00656409,
        0.00661835,
        0.00658885,
        0.00663927,
        0.00685464,
        0.00682688,
        0.00736498,
        0.00718528,
        0.00732485,
        0.00707802,
        0.0072942,
        0.00717723,
        0.00699104,
        0.00693233,
        0.00726692,
        0.00743122,
        0.00737137,
        0.00704941,
        0.00706107,
        0.00749386,
        0.0070814,
        0.00682219,
        0.00673524,
        0.00694868,
        0.0068343,
        0.00648443,
        0.00676538,
        0.00683603,
        0.00681773,
        0.00724016,
        0.00749487,
        0.00748445,
        0.00688197,
        0.00671282,
        0.00698516,
        0.00679488,
        0.00618308,
        0.00647543,
        0.00713185,
        0.00727224,
        0.00696884,
        0.00680737,
        0.00701773,
        0.0075503,
        0.00718929,
        0.0071755,
        0.00759097,
        0.00797872,
        0.00849355,
        0.00851105,
        0.00840274,
        0.00871354,
        0.00921035,
        0.00968881,
        0.0100902,
        0.0107304,
        0.0112988,
        0.012193,
        0.0141881,
        0.014871,
        0.0157125,
        0.0185592,
        0.0204634,
        0.0194883,
        0.0216224,
        0.0278723,
        0.0248152,
        0.0208891,
        0.0176983,
        0.0153123,
        0.014162,
        0.0137291,
        0.0135793,
        0.0123855,
        0.0120974,
        0.011774,
        0.0102465,
        0.00977091,
        0.00962779,
        0.00960696,
        0.00901809,
        0.00887292,
        0.00936937,
        0.00864696,
        0.00852224,
        0.00886744,
        0.00870422,
        0.00837892,
        0.00788137,
        0.00701129,
        0.00699608,
        0.00711359,
        0.00676136,
        0.00699641,
        0.00709913,
        0.00677288,
        0.00664128,
        0.00701172,
        0.00792922,
        0.0079582,
        0.00781107,
        0.0075658,
        0.00760049,
        0.00759896,
        0.00740013,
        0.00654839,
        0.00651257,
        0.00671344,
        0.00687327,
        0.00716062,
        0.00757248,
        0.00813433,
        0.00680407,
        0.0061331,
        0.00618509,
        0.00612816,
        0.00600504,
        0.00586604,
        0.00590389,
        0.00588468,
        0.0058697,
        0.00594354,
        0.00623189,
        0.00632872,
        0.00595209,
        0.0066285,
        0.00706425,
        0.00702167,
        0.00659915,
        0.00642611,
        0.00647288,
        0.00657914,
        0.00702692,
        0.00749134,
        0.00719794,
        0.00677842,
        0.00640849,
        0.00627755,
        0.00637194,
        0.00651254,
        0.00665607,
        0.00731724,
        0.00763559,
        0.00752578,
        0.00743155,
        0.00764476,
        0.00793845,
        0.00712236,
        0.00688647,
        0.0069058,
        0.00681769,
        0.00675648,
        0.00690089,
        0.00746787,
        0.00757386,
        0.00743029,
        0.00704437,
        0.00759174,
        0.00787153,
        0.00788435,
        0.00825043,
        0.00809894,
        0.0076702,
        0.00750813,
        0.00707897,
        0.00675617,
        0.00703856,
        0.00707223,
        0.00723453,
        0.0077336,
        0.00734797,
        0.00682934,
        0.00628142,
        0.00710879,
        0.00744184,
        0.0074198,
        0.00770603,
        0.00781368,
        0.00778363,
        0.00757082,
        0.00781592,
        0.00801211,
        0.00778047,
        0.00658526,
        0.00557037,
        0.00505944,
        0.00494984,
        0.00529611,
        0.00608354,
        0.00687206,
        0.00709681,
        0.00705083,
        0.0075799,
        0.00790797,
        0.00809304,
        0.00810418,
        0.00864325,
        0.00902966,
        0.00892209,
        0.00874125,
        0.00854611,
        0.00834587,
        0.00851164,
        0.00907354,
        0.00991691,
        0.0103642,
        0.0109091,
        0.0112438,
        0.0104925,
        0.0111555,
        0.0117681,
        0.011185,
        0.0113628,
        0.0114848,
        0.0113444,
        0.0111884,
        0.0114929,
        0.0122834,
        0.0137212,
        0.0138792,
        0.0135683,
        0.0146762,
        0.016159,
        0.0182013,
        0.02058,
        0.0236513,
        0.0286251,
        0.0396642,
        0.0305374,
        0.0242645,
        0.0192095,
        0.0176409,
        0.0148113,
        0.013735,
        0.0133143,
        0.011796,
        0.010917,
        0.0108425,
        0.0111891,
        0.0112897,
        0.0111606,
        0.0105146,
        0.0106188,
        0.00951394,
        0.00892721,
        0.00822042,
        0.00838917,
        0.00823632,
        0.00794415,
        0.00753375,
        0.00781634,
        0.00789271,
        0.00784734,
        0.00843858,
        0.00794374,
        0.00839069,
        0.00821889,
        0.00794496,
        0.00778149,
        0.00726677,
        0.00716445,
        0.0074463,
        0.00709189,
        0.00768926,
        0.00701495,
        0.00694131,
        0.00773408,
        0.00752077,
        0.00788377,
        0.00819447,
        0.00864557,
        0.00872017,
        0.00845653,
        0.00796289,
        0.0074837,
        0.00754619,
        0.00763853,
        0.00706556,
        0.00674543,
        0.00680847,
        0.00747358,
        0.00762431,
        0.00763484,
        0.00754102,
        0.00755222,
        0.00792763,
        0.00859106,
        0.00920052,
        0.00903623,
        0.00856135,
        0.00842866,
        0.00896488,
        0.00945779,
        0.0094073,
        0.00896775,
        0.00886388,
        0.00930285,
        0.00872286,
        0.00839635,
        0.00829193,
        0.00748286,
        0.00795093,
        0.0089618,
        0.008923,
        0.00858685,
        0.00819038,
        0.00791827,
        0.00783213,
        0.0078198,
        0.00786787,
        0.00769809,
        0.00792382,
        0.00856289,
        0.00855226,
        0.00830021,
        0.00797311,
        0.00820378,
        0.00785486,
        0.00708374,
        0.00717908,
        0.00759292,
        0.00756942,
        0.00734073,
        0.00713944,
        0.00678293,
        0.00667884,
        0.00659032,
        0.00675006,
        0.00705019,
        0.006888,
        0.00665146,
        0.00645426,
        0.00653996,
        0.00681612,
        0.0070109,
        0.00691272,
        0.0076692,
        0.00785366,
        0.00710813,
        0.00756433,
        0.00807696,
        0.00854624,
        0.00825207,
        0.00848262,
        0.00890445,
        0.00889838,
        0.00857519,
        0.00812166,
        0.00761341,
        0.00709476,
        0.00687684,
        0.00712694,
        0.00809347,
        0.00849695,
        0.00827335,
        0.00763833,
        0.00762702,
        0.00802081,
        0.00840797,
        0.00831721,
        0.00825468,
        0.00878965,
        0.00849912,
        0.00844844,
        0.00909716,
        0.00864377,
        0.00821215,
        0.00794344,
        0.00903741,
        0.00962225,
        0.00980744,
        0.00970716,
        0.00944543,
        0.00957489,
        0.0111357,
        0.0117838,
        0.0116705,
        0.0105615,
        0.0105663,
        0.0109344,
        0.0116029,
        0.0123228,
        0.0126567,
        0.0128124,
        0.0138436,
        0.0135151,
        0.0135895,
        0.0172984,
        0.0214807,
        0.0252326,
        0.027856,
        0.0320408,
        0.0262705,
        0.0223706,
        0.0201258,
        0.0187127,
        0.0166306,
        0.0149792,
        0.0137263,
        0.0130597,
        0.0113051,
        0.0100108,
        0.00972424,
        0.00995585,
        0.0100791,
        0.0100341,
        0.00937749,
        0.00933045,
        0.00965363,
        0.00994619,
        0.0093952,
        0.00873378,
        0.00860551,
        0.00806502,
        0.00758134,
        0.00731833,
        0.00712074,
        0.00737226,
        0.00803148,
        null,
        0.00561245,
        0.00612328,
        0.00663411,
        0.00714494,
        0.00762468,
        0.00737926,
        0.00735246,
        0.00747466,
        0.0076713,
        0.00765033,
        0.00741598,
        0.00692066,
        0.00672313,
        0.0068182,
        0.00705516,
        0.00679329,
        0.00701367,
        0.00711014,
        0.00658332,
        0.00623742,
        0.00627305,
        0.00668886,
        0.00705476,
        0.00718413,
        0.00728292,
        0.00766154,
        0.0077882,
        0.00771494,
        0.00744669,
        0.00761559,
        0.00763977,
        0.0075637,
        0.00745856,
        0.00782376,
        0.00841551,
        0.00915378,
        0.00825376,
        0.00773817,
        0.00775975,
        0.0085577,
        0.00863403,
        0.00836987,
        0.00799889,
        0.0081551,
        0.00852924,
        0.00903192,
        0.00865175,
        0.00825475,
        0.00797099,
        0.00811386,
        0.00778924,
        0.00752573,
        0.00751164,
        0.00774576,
        0.00809195,
        0.0084291,
        0.00822685,
        0.0077521,
        0.00757921,
        0.00822694,
        0.00847922,
        0.00826583,
        0.00771576,
        0.00793823,
        0.00836951,
        0.00862848,
        0.00818256,
        0.0093783,
        0.0107321,
        0.0119012,
        0.0127108,
        0.0131719,
        0.0136263,
        0.0149486,
        0.0189346,
        0.0243678,
        0.031007,
        0.0217021,
        0.0181132,
        0.0151083,
        0.0138958,
        0.0128376,
        0.0119182,
        0.0111621,
        0.0105242,
        0.00981048,
        0.00889277,
        0.00844775,
        0.00829404,
        0.00835226,
        0.00828329,
        0.00818705,
        0.00811401,
        0.00813164,
        0.00769564,
        0.00745415,
        0.00751312,
        0.00735185,
        0.00718202,
        0.00720706,
        0.00791202,
        0.00766681,
        0.00719121,
        0.0066905,
        0.00683968,
        0.00719076,
        0.00757527,
        0.00730136,
        0.00698295,
        0.00674899,
        0.00671766,
        0.00707044,
        0.00721252,
        0.0071577,
        0.00744477,
        0.00757892,
        0.00768348,
        0.00788992,
        0.0079429,
        0.00772965,
        0.00721029,
        0.00671946,
        0.00673305,
        0.00702257,
        0.00714606,
        0.00762908,
        0.00792733,
        0.00777484,
        0.00774716,
        0.00784599,
        0.00790051,
        0.00716772,
        0.00726756,
        0.00743095,
        0.00713339,
        0.00655525,
        0.00637181,
        0.00664456,
        0.00699783,
        0.00743282,
        0.00764603,
        0.00708946,
        0.00682798,
        0.00661982,
        0.00640897,
        0.00614619,
        0.00666217,
        0.00760528,
        0.00829761,
        0.00810594,
        0.00762128,
        0.00702971,
        0.00622542,
        0.00621455,
        0.00678411,
        0.00657877,
        0.00667547,
        0.00680922,
        0.00675656,
        0.00655984,
        0.00651393,
        0.0066546,
        0.00690809,
        0.0068293,
        0.00665586,
        0.00669504,
        0.00672354,
        0.00666286,
        0.0064807,
        0.00625592,
        0.00639505,
        0.00670501,
        0.00663378,
        0.00671609,
        0.00679406,
        0.00678131,
        0.00671133,
        0.00662243,
        0.00653328,
        0.00653548,
        0.00667079,
        0.00698815,
        0.00759843,
        0.00747436,
        0.00713684,
        0.00670959,
        0.00730572,
        0.00747877,
        0.00747425,
        0.00766837,
        0.00743869,
        0.00715347,
        0.00692202,
        0.00784944,
        0.00817251,
        0.00804452,
        0.00778159,
        0.00783793,
        0.00783427,
        0.00755096,
        0.00722234,
        0.00715237,
        0.00722933,
        0.00668462,
        0.00681817,
        0.00704734,
        0.00675436,
        0.00675867,
        0.00731933,
        0.0084063,
        0.00817038,
        0.00771073,
        0.00729839,
        0.0074617,
        0.0072294,
        0.00713081,
        0.00734927,
        0.00716786,
        0.00693458,
        0.00681775,
        0.00740027,
        0.00734364,
        0.00723154,
        0.00736443,
        0.00770745,
        0.00764123,
        0.00722297,
        0.00724296,
        0.00767256,
        0.00802597,
        0.00772419,
        0.00808886,
        0.0084161,
        0.0246272,
        0.0189312,
        0.0153353,
        0.0138242,
        0.0118592,
        0.0102092,
        0.010454,
        0.0101611,
        0.00976173,
        0.00937838,
        0.00881835,
        0.00802068,
        0.00719969,
        0.00702914,
        0.00712252,
        0.00723545,
        0.00723363,
        0.00729843,
        0.00770522,
        0.00828399,
        0.00759007,
        0.00698305,
        0.00668683,
        0.00708162,
        0.00750155,
        0.00741961,
        0.00678578,
        0.00682735,
        0.00700588,
        0.00723333,
        0.00736868,
        0.00768359,
        0.00789938,
        0.00791638,
        0.00744759,
        0.00716236,
        0.00696808,
        0.00660573,
        0.0066526,
        0.00673999,
        0.00668015,
        0.00689713,
        0.00710399,
        0.00724882,
        0.00705591,
        0.00699005,
        0.00701383,
        0.00712228,
        0.00706124,
        0.00675944,
        0.00625747,
        0.00669281,
        0.0072463,
        0.00764752,
        0.00732262,
        0.00679973,
        0.00646931,
        0.00647741,
        0.00687299,
        0.00696416,
        0.00680227,
        0.00645129,
        0.00596666,
        0.00573548,
        0.00602874,
        0.00639092,
        0.00645328,
        0.00625893,
        0.00609017,
        0.00649211,
        0.00707366,
        0.00755361,
        0.00753347,
        0.00719806,
        0.00664327,
        0.00672649,
        0.0068597,
        0.00719006,
        0.00806712,
        0.00862179,
        0.00858816,
        0.00781137,
        0.0081578,
        0.00827921,
        0.00821217,
        0.00799872,
        0.00815,
        0.00844926,
        0.00881744,
        0.00844692,
        0.00881558,
        0.00974917,
        0.00997915,
        0.0100184,
        0.0101001,
        0.0104464,
        0.0114251,
        0.0129231,
        0.0149038,
        0.0170233,
        0.0180055,
        0.019249,
        0.0229131,
        0.0217841,
        0.0220638,
        0.0179469,
        0.0161289,
        0.0165669,
        0.0143188,
        0.0122859,
        0.0108989,
        0.0110887,
        0.0100053,
        0.00889788,
        0.00810453,
        0.0090026,
        0.00949037,
        0.00963451,
        0.00944249,
        0.00896667,
        0.00854423,
        0.00832604,
        0.00910972,
        0.00906239,
        0.00832945,
        0.00749185,
        0.00712252,
        0.00697414,
        0.00694316,
        0.00710001,
        0.00758697,
        0.00822531,
        0.00753667,
        0.00746699,
        0.00759365,
        0.00751231,
        0.00774405,
        0.00779548,
        0.00761797,
        0.00817523,
        0.00816146,
        0.00793798,
        0.0080956,
        0.00910235,
        0.00974519,
        0.00958627,
        0.0108518,
        0.0113482,
        0.0113792,
        0.0117704,
        0.0139129,
        0.0165702,
        0.0191944,
        0.0248482,
        0.019957,
        0.0159447,
        0.0133911,
        0.0119442,
        0.010763,
        0.00968803,
        0.00988199,
        0.00987135,
        0.0094165,
        0.00771528,
        0.00745949,
        0.00743841,
        0.00717829,
        0.00730839,
        0.00709889,
        0.00670439,
        0.00682654,
        0.00753053,
        0.00821446,
        0.00843965,
        0.00804804,
        0.00777851,
        0.00765434,
        0.00729714,
        0.00690196,
        0.0065675,
        0.00643604,
        0.00653076,
        0.0066133,
        0.00665116,
        0.00691464,
        0.00657878,
        0.00601537,
        0.00584671,
        0.00623291,
        0.00652726,
        0.00650257,
        0.00663184,
        0.00708121,
        0.00751397,
        0.0067924,
        0.00654457,
        0.00660236,
        0.00695118,
        0.00651305,
        0.00620171,
        0.00611645,
        0.00655688,
        0.00667333,
        0.00652825,
        0.00608106,
        0.0060615,
        0.00618474,
        0.00638806,
        0.00635839,
        0.00640014,
        0.00661136,
        0.00722034,
        0.00698244,
        0.0064333,
        0.00570269,
        0.00586178,
        0.00615945,
        0.00645591,
        0.00638861,
        0.00621815,
        0.00604414,
        0.00590984,
        0.00585432,
        0.0060054,
        0.00633621,
        0.00676999,
        0.00708837,
        0.00716594,
        0.00683161,
        0.00645079,
        0.0063043,
        0.00640996,
        0.00669516,
        0.00671513,
        0.00657019,
        0.00631179,
        0.00649161,
        0.00674521,
        0.00697351,
        0.00651615,
        0.00638627,
        0.00645901,
        0.00657745,
        0.00642263,
        0.0062002,
        0.00597083,
        0.00595452,
        0.00607656,
        0.00625274,
        0.00621581,
        0.00603917,
        0.00587152,
        0.00580161,
        0.0066235,
        0.00685371,
        0.00653303,
        0.00638523,
        0.00646464,
        0.00670874,
        0.00712073,
        0.0066371,
        0.00616692,
        0.00590173,
        0.0063773,
        0.00646219,
        0.00649912,
        0.00689512,
        0.00750179,
        0.00782506,
        0.00776026,
        0.00764465,
        0.00736872,
        0.00711762,
        0.00728711,
        0.00708825,
        0.00685044,
        0.00668403,
        0.00796175,
        0.00810728,
        0.0073845,
        0.00649748,
        0.00657346,
        0.006961,
        0.007357,
        0.0076429,
        0.00745549,
        0.00692754,
        0.00698289,
        0.00707067,
        0.0071794,
        0.00730588,
        0.00717895,
        0.00700103,
        0.00683106,
        0.00706455,
        0.00703714,
        0.00693995,
        0.00705164,
        0.00758785,
        0.0077839,
        0.00741462,
        0.00786367,
        0.0082638,
        0.00853972,
        0.00843087,
        0.00836228,
        0.00816097,
        0.0077171,
        0.00724431,
        0.00724454,
        0.0077344,
        0.00878205,
        0.00946947,
        0.0101233,
        0.0109348,
        0.0106614,
        0.0102483,
        0.00985816,
        0.0100968,
        0.0113979,
        0.0129444,
        0.0140042,
        0.0166393,
        0.0218243,
        0.0268645,
        0.0229015,
        0.018971,
        0.017096,
        0.0156654,
        0.0140025,
        0.0123613,
        0.011825,
        0.0121344,
        0.0120587,
        0.0117516,
        0.0114015,
        0.0111379,
        0.0107711,
        0.0105871,
        0.0106451,
        0.0112403,
        0.0120033,
        0.0127445,
        0.0132576,
        0.0141585,
        0.0146912,
        0.0147054,
        0.0140323,
        0.0143948,
        0.0152977,
        0.0161392,
        0.0172604,
        0.0178794,
        0.017735,
        0.0195745,
        0.0217329,
        0.0237946,
        0.024505,
        0.0272238,
        0.0311027,
        null,
        0.0357185,
        0.0285729,
        0.025708,
        0.0247071,
        0.0236711,
        0.022108,
        0.0202951,
        0.0184136,
        0.0188666,
        0.0111992,
        0.0102909,
        0.0102083,
        0.0102111,
        0.0100781,
        0.00961498,
        0.00987709,
        0.00980642,
        0.00942091,
        0.00911957,
        0.00886744,
        0.008631,
        0.00838595,
        0.00841493,
        0.0083735,
        0.00826075,
        0.00860373,
        0.00886791,
        0.00897448,
        0.00873575,
        0.00871567,
        0.00837185,
        0.00756619,
        0.00730902,
        0.00755874,
        0.00808154,
        0.00843815,
        0.00833682,
        0.00814138,
        0.00795841,
        0.00816995,
        0.00799084,
        0.0076664,
        0.00796088,
        0.00836316,
        0.00860112,
        0.00848029,
        0.00803677,
        0.00769204,
        0.00745527,
        0.00725645,
        0.0077177,
        0.0081884,
        0.00811501,
        0.00774271,
        0.00762775,
        0.00784546,
        0.0085881,
        0.00894059,
        0.00895934,
        0.00857041,
        0.00858551,
        0.00847323,
        0.00814604,
        0.00808469,
        0.00849689,
        0.00893217,
        0.00850471,
        0.00787954,
        0.00775003,
        0.00837316,
        0.00929482,
        0.00971295,
        0.00973276,
        0.009456,
        0.00996189,
        0.0109206,
        0.0122781,
        0.0138011,
        0.0152422,
        0.0168794,
        0.0200825,
        0.0260511,
        0.0253272,
        0.0203837,
        0.0166069,
        0.0149574,
        0.0134439,
        0.011808,
        0.0105289,
        0.00966123,
        0.00928147,
        0.00973732,
        0.00927194,
        0.00889689,
        0.00883909,
        0.00902664,
        0.00898055,
        0.00886132,
        0.00897389,
        0.00866638,
        0.0085059,
        0.00871904,
        0.00892439,
        0.00888293,
        0.00867372,
        0.00852952,
        0.00840102,
        0.00797369,
        0.00701158,
        0.00721489,
        0.00746489,
        0.00763836,
        0.00734828,
        0.00722871,
        0.00728811,
        0.00759455,
        0.00789842,
        0.0080131,
        0.00790834,
        0.00750134,
        0.00761432,
        0.00782999,
        0.00773725,
        0.00796643,
        0.00831274,
        0.00871624,
        0.00872159,
        0.00833492,
        0.00780975,
        0.00751403,
        0.00792452,
        0.00801398,
        0.00746279,
        0.00748356,
        0.00742361,
        0.00722876,
        0.00672151,
        0.00679559,
        0.00667028,
        0.00601318,
        0.00633422,
        0.00708384,
        0.00802595,
        0.00836631,
        0.00785106,
        0.00717561,
        0.0067408,
        0.00740121,
        0.00779022,
        0.00793737,
        0.00833101,
        0.00791463,
        0.00717745,
        0.0064164,
        0.00645989,
        0.00674576,
        0.0072082,
        0.00785127,
        0.00756256,
        0.00706189,
        0.0071955,
        0.00724242,
        0.0074744,
        0.00792181,
        0.0081664,
        0.00827251,
        0.0081531,
        0.0075457,
        0.0072525,
        0.00741794,
        0.00812105,
        0.00791271,
        0.00781532,
        0.00798466,
        0.00891363,
        0.00879752,
        0.00839513,
        0.00796248,
        0.00764248,
        0.00784674,
        0.00841175,
        0.00875798,
        0.00852003,
        0.00819771,
        0.00809011,
        0.00844469,
        0.00882586,
        0.00928356,
        0.0102556,
        0.0103754,
        0.0102524,
        0.0103393,
        0.00983039,
        0.00971735,
        0.0100966,
        0.0104941,
        0.0105504,
        0.0103245,
        0.00976676,
        0.00949649,
        0.00947708,
        0.00979552,
        0.0119313,
        0.0127003,
        0.0125931,
        0.0121405,
        0.0108101,
        0.00953696,
        0.00860878,
        0.00948632,
        0.00994187,
        0.0102122,
        0.0108145,
        0.0112542,
        0.0121571,
        0.0138855,
        0.014361,
        0.0146675,
        0.0151865,
        0.0172325,
        0.0181513,
        0.0191067,
        0.0207706,
        0.023084,
        0.0232528,
        0.0222943,
        null,
        0.0290034,
        0.0258427,
        0.0215905,
        0.0196062,
        0.0193204,
        0.0207973,
        0.0217749,
        0.0214264,
        0.0196358,
        0.0169052,
        0.0161196,
        0.0160454,
        0.0152091,
        0.0147214,
        0.014918,
        0.0158416,
        0.0137444,
        0.0123247,
        0.0115949,
        0.0118548,
        0.0112171,
        0.0106919,
        0.0106188,
        0.0110809,
        0.0107943,
        0.0101253,
        0.0100584,
        0.010188,
        0.0101907,
        0.00990245,
        0.00947449,
        0.00969062,
        0.0103555,
        0.0106777,
        0.0108981,
        0.0106233,
        0.00950296,
        0.00987572,
        0.00964928,
        0.0088899,
        0.00864295,
        0.00852517,
        0.00844802,
        0.00834603,
        0.00832032,
        0.00834001,
        0.00845906,
        0.00916586,
        0.00929365,
        0.00924711,
        0.00942545,
        0.00895366,
        0.00831977,
        0.00765869,
        0.00783133,
        0.00804353,
        0.00805825,
        0.00740863,
        0.00729534,
        0.00745066,
        0.00778861,
        0.00736889,
        0.0076601,
        0.00819592,
        0.00811915,
        0.00783993,
        0.00755054,
        0.00732132,
        0.00764995,
        0.00781711,
        0.00780674,
        0.00749796,
        0.00742459,
        0.0072745,
        0.00690007,
        0.00693252,
        0.00701097,
        0.00715375,
        0.00747193,
        0.00709464,
        0.00663758,
        0.0064584,
        0.00745197,
        0.00764045,
        0.00716361,
        0.00699067,
        0.00734177,
        0.00765224,
        0.00745291,
        0.00780105,
        0.00811865,
        0.00832034,
        0.0081531,
        0.00750722,
        0.00679032,
        0.00640132,
        0.00685069,
        0.0071358,
        0.00710194,
        0.00681273,
        0.00708059,
        0.00758082,
        0.0079732,
        0.00759165,
        0.00739589,
        0.00758283,
        0.00784113,
        0.0079123,
        0.00783955,
        0.00763288,
        0.00815134,
        0.00856725,
        0.00863043,
        0.0082212,
        0.00832831,
        0.00867209,
        0.00870305,
        0.00891948,
        0.00934015,
        0.0100095,
        0.0100642,
        0.0106696,
        0.0118644,
        0.0139902,
        0.0174257,
        0.0201365,
        0.0208642,
        0.0247155,
        0.0248688,
        0.0217384,
        0.0167568,
        0.0146654,
        0.0133549,
        0.0116051,
        0.0105199,
        0.0100599,
        0.00994011,
        0.00869134,
        0.0084325,
        0.00851943,
        0.00849816,
        0.00807032,
        0.00771614,
        0.00748529,
        0.00738258,
        0.00708996,
        0.00681283,
        0.00679927,
        0.0072531,
        0.00744643,
        0.00728957,
        0.00708354,
        0.00678528,
        0.00645723,
        0.00618152,
        0.00622072,
        0.00646975,
        0.00688077,
        0.00671273,
        0.00658372,
        0.00647875,
        0.00637885,
        0.0061211,
        0.00612421,
        0.0065138,
        0.00648387,
        0.00643795,
        0.00640675,
        0.00647856,
        0.00661411,
        0.00675384,
        0.00687618,
        0.0078662,
        0.00785046,
        0.00716075,
        0.00675299,
        0.00655423,
        0.00666515,
        0.00720019,
        0.00738978,
        0.0074375,
        0.0070478,
        0.00705405,
        0.00749709,
        0.00786214,
        0.00773768,
        0.00789257,
        0.00924073,
        0.00881241,
        0.00852341,
        0.00858788,
        0.00810623,
        0.00798163,
        0.00798835,
        0.0078779,
        0.0078597,
        0.00803937,
        0.00842468,
        0.00865729,
        0.00832489,
        0.00777355,
        0.00751563,
        0.00755042,
        0.0074579,
        0.00711585,
        0.00621077,
        0.00611605,
        0.0065175,
        0.00690731,
        0.00708869,
        0.00713391,
        0.00705372,
        0.00754907,
        0.00741103,
        0.00688793,
        0.00657806,
        0.00669785,
        0.00699664,
        0.00740464,
        0.00732073,
        0.0071709,
        0.00698707,
        0.00683726,
        0.00674964,
        0.00664296,
        0.0064682,
        0.00648953,
        0.00664854,
        0.00679872,
        0.00632236,
        0.0059503,
        0.00565995,
        0.00546121,
        0.00534543,
        0.00574649,
        0.00654947,
        0.00694181,
        0.0068826,
        0.00671195,
        0.00670283,
        0.00693294,
        0.0068991,
        0.00657361,
        0.00614425,
        0.00613842,
        0.00617602,
        0.00584804,
        0.00572191,
        0.00581668,
        0.00613093,
        0.00653496,
        0.00683353,
        0.00682568,
        0.00611737,
        0.00607455,
        0.00621956,
        0.00644493,
        0.00624457,
        0.00672716,
        0.00701811,
        0.00767997,
        0.00762902,
        0.00774433,
        0.00788093,
        0.00797692,
        0.00792581,
        0.00806596,
        0.0084135,
        0.00908608,
        0.0096594,
        0.0100491,
        0.0101733,
        0.00952363,
        0.00904256,
        0.00883217,
        0.00918743,
        0.0105269,
        0.0115972,
        0.0115054,
        0.01287,
        0.0140889,
        0.0152135,
        0.017178,
        0.0181773,
        0.0179082,
        0.0156616,
        0.0149962,
        0.0134481,
        0.0110862,
        0.0099662,
        0.00903547,
        0.0084113,
        0.00830615,
        0.00802315,
        0.00802916,
        0.00831206,
        0.00804687,
        0.00769174,
        0.00732844,
        0.00705006,
        0.00726356,
        0.00721357,
        0.00680739,
        0.00690376,
        0.0069763,
        0.00705067,
        0.0071655,
        0.00705787,
        0.00671707,
        0.00618567,
        0.00652993,
        0.00679441,
        0.00700312,
        0.00717639,
        0.00732086,
        0.00739007,
        0.00735832,
        0.00688823,
        0.00678007,
        0.0070204,
        0.00768637,
        0.00766644,
        0.00737062,
        0.00689879,
        0.00685507,
        0.0067696,
        0.00666834,
        0.00662445,
        0.00722835,
        0.00766754,
        0.0075425,
        0.00775683,
        0.00772862,
        0.00748177,
        0.00704637,
        0.00726948,
        0.00746015,
        0.00727633,
        0.00751314,
        0.00715295,
        0.0063949,
        0.00615962,
        0.00678495,
        0.00740109,
        0.00747571,
        0.00766152,
        0.00766144,
        0.00752129,
        0.00752808,
        0.00734371,
        0.00721062,
        0.00733911,
        0.0073006,
        0.00744187,
        0.00765752,
        0.00706054,
        0.00696189,
        0.00716588,
        0.00760138,
        0.00765783,
        0.00792381,
        0.00838164,
        0.00828381,
        0.00838193,
        0.00869644,
        0.00933641,
        0.00922174,
        0.00915983,
        0.00926402,
        0.00934565,
        0.00905401,
        0.00895102,
        null,
        0.00587866,
        0.00659856,
        0.00731846,
        0.00803836,
        0.00868322,
        0.0090087,
        0.00833311,
        0.00787376,
        0.0080558,
        0.00826915,
        0.00840412,
        0.00841968,
        0.0082318,
        0.0081722,
        0.00783907,
        0.00733009,
        0.00727123,
        0.00775026,
        0.00832907,
        0.00879488,
        0.00873127,
        0.00856973,
        0.00846015,
        0.00868702,
        0.00872148,
        0.00920696,
        0.0100891,
        0.0101317,
        0.0101386,
        0.0103675,
        0.0110549,
        0.0111361,
        0.0112703,
        0.0116178,
        0.012599,
        0.012852,
        0.0133911,
        0.0144922,
        0.0163038,
        0.0195178,
        0.022607,
        0.0240437,
        0.0271063,
        0.0296807,
        0.0309868,
        0.0287929,
        0.0271602,
        0.0250116,
        0.0220017,
        0.0203532,
        0.018065,
        0.0160754,
        0.0156506,
        0.0151497,
        0.0140958,
        0.012556,
        0.0110012,
        0.0109714,
        0.0113112,
        0.0115037,
        0.0131255,
        0.0139875,
        0.0138489,
        0.0119969,
        0.0108203,
        0.0100975,
        0.00984707,
        0.010474,
        0.00972923,
        0.00871182,
        0.00804878,
        0.00793218,
        0.00782333,
        0.00787811,
        0.00849026,
        0.00833383,
        0.0079258,
        0.00745141,
        0.00748973,
        0.0070722,
        0.00684124,
        0.00732827,
        0.00713454,
        0.00709317,
        0.00732311,
        0.00808706,
        0.00776308,
        0.00764849,
        0.00806191,
        0.00825522,
        0.00731963,
        0.0064642,
        0.00689322,
        0.00715863,
        0.0076833,
        0.00812849,
        0.00721132,
        0.00689936,
        0.00685253,
        0.00695492,
        0.00679636,
        0.00691963,
        0.00722348,
        0.007632,
        0.00747442,
        0.00720695,
        0.00706696,
        0.00782973,
        0.00782182,
        0.00742169,
        0.00680644,
        0.00731091,
        0.00740522,
        0.00725654,
        0.00707322,
        0.00697406,
        0.00698372,
        0.00708288,
        0.00718105,
        0.00696102,
        0.00679763,
        0.00688018,
        0.00695104,
        0.00741727,
        0.00792146,
        0.00784997,
        0.00697103,
        0.00655077,
        0.00666684,
        0.0066847,
        0.00712091,
        0.00741463,
        0.0072315,
        0.00732723,
        0.00733012,
        0.00731522,
        0.00743258,
        0.00772305,
        0.00748489,
        0.00675402,
        0.00661938,
        0.0069117,
        0.00725711,
        0.0074147,
        0.00714687,
        0.00735544,
        0.00779218,
        0.00797114,
        0.00792588,
        0.00787931,
        0.0078713,
        0.00782743,
        0.00757216,
        0.00731555,
        0.00719968,
        0.00709659,
        0.00687468,
        0.00677368,
        0.00739341,
        0.00716464,
        0.00670815,
        0.00626522,
        0.00691038,
        0.00736322,
        0.00744248,
        0.00693684,
        0.00708839,
        0.00717563,
        0.00713235,
        0.00683937,
        0.006813,
        0.00684141,
        0.00693201,
        0.00762044,
        0.0074934,
        0.00724216,
        0.00740515,
        0.0074152,
        0.00755958,
        0.00762437,
        0.00703346,
        0.00671668,
        0.00679676,
        0.00724534,
        0.007299,
        0.00720195,
        0.00712296,
        0.00720504,
        0.00694882,
        0.00716198,
        0.00761996,
        0.00771143,
        0.00738407,
        0.00712149,
        0.00707971,
        0.00750029,
        0.00736165,
        0.00677456,
        0.00576506,
        0.00633694,
        0.00687526,
        0.00716957,
        0.00682427,
        0.00704432,
        0.00730636,
        0.00749312,
        0.00772594,
        0.00746223,
        0.00704018,
        0.00670837,
        0.00726136,
        0.00728355,
        0.0070701,
        0.00755034,
        0.00713014,
        0.00686974,
        0.00702816,
        0.00735824,
        0.00742262,
        0.00725008,
        0.00681854,
        0.00644024,
        0.00621772,
        0.00624154,
        0.00676088,
        0.00650633,
        0.0062086,
        0.00604446,
        0.00602493,
        0.00625336,
        0.00667214,
        0.00727255,
        0.00735025,
        0.00713998,
        0.00687711,
        0.00706977,
        0.00773895,
        0.00821392,
        0.0084708,
        0.0094991,
        0.00912685,
        0.00699933,
        0.00720686,
        0.0079166,
        0.00779023,
        0.00742805,
        0.00708983,
        0.00727019,
        0.00706371,
        0.00683937,
        0.00666488,
        0.00654665,
        0.006758,
        0.00731317,
        0.0082618,
        0.00765297,
        0.00740452,
        0.00728214,
        0.00689045,
        0.00687648,
        0.00702141,
        0.00714061,
        0.00638485,
        0.00647579,
        0.00689046,
        0.00737668,
        0.00724772,
        0.00694348,
        0.00667697,
        0.00676699,
        0.00628218,
        0.00635953,
        0.0068013,
        0.00611505,
        0.00615623,
        0.00629352,
        0.00627201,
        0.00656403,
        0.00653955,
        0.00653631,
        0.00697158,
        0.00723332,
        0.00720514,
        0.00694314,
        0.00663912,
        0.00700682,
        0.00710982,
        0.00665822,
        0.00680284,
        0.00706057,
        0.00727428,
        0.00728126,
        0.00725213,
        0.00677338,
        0.00631677,
        0.00735358,
        0.0071269,
        0.00668597,
        0.00635479,
        0.00638812,
        0.00697495,
        0.00735803,
        0.00688672,
        0.00686689,
        0.00680859,
        0.0067804,
        0.00700824,
        0.00684836,
        0.00682259,
        0.00696786,
        0.00668534,
        0.00707627,
        0.00731685,
        0.00684578,
        0.00716815,
        0.00726905,
        0.00708815,
        0.0064704,
        0.00668641,
        0.00680894,
        0.00676319,
        0.00700044,
        0.00722001,
        0.00738612,
        0.00746229,
        0.00685031,
        0.00685484,
        0.00702924,
        0.00673933,
        0.00687776,
        0.00674857,
        0.00644631,
        0.00664888,
        0.00645356,
        0.00645809,
        0.00690111,
        0.00741881,
        0.0073297,
        0.00704272,
        0.00696845,
        0.00716541,
        0.00718534,
        0.00696798,
        0.00642158,
        0.00641733,
        0.00659209,
        0.00682925,
        0.00696941,
        0.00661118,
        0.00623565,
        0.00622429,
        0.00632962,
        0.00652286,
        0.00669889,
        0.00662618,
        0.00683389,
        0.00692938,
        0.00683555,
        0.00662018,
        0.00675745,
        0.00681488,
        0.00653596,
        0.00652342,
        0.00649434,
        0.00654382,
        0.00683913,
        0.00648541,
        0.0061626,
        0.0059993,
        0.00620444,
        0.00648199,
        0.00673352,
        0.00692521,
        0.00729887,
        0.00725718,
        0.00704834,
        0.00693599,
        0.00675151,
        0.00663933,
        0.00661222,
        0.00668705,
        0.0066933,
        0.00677418,
        0.00696034,
        0.00709233,
        0.00742144,
        0.00758276,
        0.00726326,
        0.00699779,
        0.0069637,
        0.00708824,
        0.00724751,
        0.00718979,
        0.00755275,
        0.00819009,
        0.00746156,
        0.00711798,
        0.00690981,
        0.00671008,
        0.00639483,
        0.00662851,
        0.00708047,
        0.00732707,
        0.00736817,
        0.00726335,
        0.00717347,
        0.00768952,
        0.00820959,
        0.00829234,
        0.00782641,
        0.00788288,
        0.00836527,
        0.00858038,
        0.00783753,
        0.00749309,
        0.00734246,
        0.00737014,
        0.00759301,
        0.00747912,
        0.00767439,
        0.00820585,
        0.00826382,
        0.00779538,
        0.00744513,
        0.00760986,
        0.00771569,
        0.00757321,
        0.00730534,
        0.00706448,
        0.0066607,
        0.00655124,
        0.00663188,
        0.00629781,
        0.00662122,
        0.00694382,
        0.0070035,
        0.00665898,
        0.00662901,
        0.00663719,
        0.00642218,
        0.00653892,
        0.00672005,
        0.00679722,
        0.00634613,
        0.00673532,
        0.00708528,
        0.0072223,
        0.00725678,
        0.00761283,
        0.00755598,
        0.00664034,
        0.00651423,
        0.00658785,
        0.00683403,
        0.00724018,
        0.00692921,
        0.00652978,
        0.00622131,
        0.00643112,
        0.00674575,
        0.00699926,
        0.00710062,
        0.00672204,
        0.0064277,
        0.00647518,
        0.00715467,
        0.00710075,
        0.00702247,
        0.00703147,
        0.00733676,
        0.00749303,
        0.0074552,
        0.00719095,
        0.00657718,
        0.00689116,
        0.00738472,
        0.00766057,
        0.00729819,
        0.00691319,
        0.00674751,
        0.007126,
        0.00762363,
        0.00768556,
        0.00742805,
        0.00736505,
        0.00730562,
        0.00730134,
        0.00736658,
        0.00746104,
        0.00730155,
        0.00702292,
        0.00670965,
        0.00744981,
        0.00780648,
        0.00793773,
        0.00812496,
        0.00799902,
        0.00795909,
        0.00801212,
        0.00794691,
        0.00740627,
        0.00696569,
        0.00687168,
        0.00709334,
        0.00732153,
        0.00734981,
        0.00696346,
        0.00698954,
        0.00714234,
        0.00736011,
        0.00753964,
        0.00755118,
        0.00724038,
        0.00672054,
        0.00688416,
        0.00717446,
        0.00732198,
        0.00718012,
        0.00724433,
        0.00779161,
        0.00823979,
        0.00781921,
        0.00793248,
        0.0077991,
        0.00756887,
        0.00793685,
        0.00774738,
        0.00776647,
        0.00813978,
        0.00839205,
        0.00835567,
        0.00813434,
        0.00778249,
        0.00760408,
        0.00741988,
        0.00720457,
        0.00691633,
        0.00713392,
        0.00728898,
        0.0072359,
        0.00668277,
        0.00668356,
        0.00676606,
        0.00679195,
        0.00695912,
        0.00688305,
        0.00686694,
        0.00718097,
        0.00661722,
        0.00667116,
        0.00697109,
        0.00675463,
        0.0068519,
        0.007074,
        0.00739888,
        0.00787895,
        0.00740626,
        0.00701245,
        0.00712608,
        0.00733596,
        0.00748666,
        0.00759255,
        0.00766109,
        0.00703549,
        0.00680143,
        0.00696103,
        0.00748726,
        0.00737599,
        0.00712761,
        0.00681463,
        0.00629041,
        0.00626573,
        0.00660266,
        0.00721394,
        0.00682019,
        0.00652857,
        0.00630386,
        0.00611394,
        0.00660346,
        0.00668742,
        0.00648968,
        0.00645843,
        0.00683682,
        0.00733778,
        0.00772546,
        0.00700388,
        0.00666103,
        0.00659072,
        0.00675514,
        0.00678569,
        0.00710745,
        0.00751708,
        0.00778108,
        0.0079088,
        0.00803688,
        0.00821746,
        0.00856551,
        0.00877876,
        0.00848437,
        0.00774344,
        0.00746016,
        0.00729974,
        0.00737575,
        0.00776724,
        0.00816796,
        0.00801474,
        0.00770266,
        0.00770039,
        0.00824207,
        0.00812865,
        0.00763261,
        0.00764659,
        0.00764257,
        0.0076477,
        0.0076782,
        0.00781038,
        0.00745016,
        0.00697169,
        0.0065903,
        0.00657368,
        0.00644131,
        0.00646978,
        0.00703494,
        0.00698949,
        0.00701903,
        0.00729611,
        0.0081708,
        0.0077452,
        0.00727428,
        0.00702655,
        0.0069145,
        0.0066241,
        0.00650659,
        0.00672496,
        0.00671309,
        0.00726887,
        0.00776614,
        0.00739803,
        0.00710795,
        0.00691898,
        0.00682003,
        0.00678802,
        0.00639145,
        0.0063185,
        0.00660998,
        0.00647572,
        0.00685822,
        0.00726644,
        0.00743032,
        0.00670358,
        0.00654138,
        0.00654442,
        0.006305,
        0.00617672,
        0.00640189,
        0.00688819,
        0.0074336,
        0.00746181,
        0.00738197,
        0.00727692,
        0.00717991,
        0.00677111,
        0.00647803,
        0.00646825,
        0.00643184,
        0.00639975,
        0.00653486,
        0.007002,
        0.00656632,
        0.00619157,
        0.00596184,
        0.00602779,
        0.00619291,
        0.00651922,
        0.00700271,
        0.00755956,
        0.00766448,
        0.00743671,
        0.00696839,
        0.0073131,
        0.0073847,
        0.00741607,
        0.00761406,
        0.00685511,
        0.00665002,
        0.00665459,
        0.00677345,
        0.00677717,
        0.0062787,
        0.00678776,
        0.0069619,
        0.00680571,
        0.006618,
        0.00702272,
        0.007149,
        0.00683838,
        0.00639255,
        0.00633936,
        0.00639561,
        0.00643603,
        0.00670626,
        0.00680278,
        0.00671492,
        0.00640587,
        0.00672129,
        0.00709607,
        0.00740117,
        0.00740513,
        0.00721284,
        0.00702727,
        0.00693573,
        0.00719079,
        0.00730618,
        0.00743333,
        0.00760277,
        0.00728127,
        0.00722232,
        0.00724913,
        0.00721615,
        0.00705964,
        0.0068657,
        0.00680804,
        0.00723023,
        0.00684198,
        0.00706244,
        0.00769131,
        0.00722958,
        0.00743224,
        0.00769475,
        0.00782694,
        0.00763624,
        0.00765905,
        0.00782398,
        0.00809843,
        0.00832904,
        0.00784651,
        0.00709412,
        0.00659682,
        0.00674246,
        0.00704301,
        0.00732098,
        0.00720387,
        0.00689153,
        0.00696011,
        0.00742893,
        0.00759683,
        0.0074692,
        0.00723679,
        0.00701581,
        0.00739057,
        0.0071074,
        0.0066248,
        0.00630159,
        0.00638952,
        0.00650881,
        0.00660196,
        0.00657828,
        0.00760171,
        0.00832515,
        0.00854219,
        0.00812498,
        0.00739777,
        0.00689597,
        0.00675185,
        0.00684328,
        0.0073521,
        0.0076713,
        0.00745913,
        0.00720757,
        0.00688024,
        0.00646405,
        0.00593085,
        0.0065131,
        0.00681527,
        0.00695309,
        0.00740993,
        0.00690964,
        0.00676707,
        0.0071157,
        0.00762173,
        0.00790062,
        0.00771863,
        0.00706202,
        0.00717486,
        0.00827609,
        0.00915826,
        0.00892867,
        0.00807885,
        0.00789115,
        0.00790796,
        0.00752677,
        0.00755013,
        0.00774046,
        0.00804285,
        0.00837712,
        0.00836577,
        0.00797676,
        0.00736512,
        0.00735505,
        0.00734542,
        0.00757194,
        0.00807748,
        0.0076358,
        0.00740572,
        0.00729682,
        0.00724254,
        0.00712664,
        0.00699903,
        0.00690485,
        0.00691852,
        0.00668919,
        0.00701377,
        0.00762615,
        0.00738143,
        0.00725699,
        0.00744241,
        0.00784531,
        0.00759082,
        0.00719445,
        0.00714143,
        0.00764985,
        0.00765634,
        0.00798782,
        0.00837156,
        0.00854815,
        0.00833831,
        0.00798773,
        0.00784195,
        0.0085384,
        0.00949025,
        0.00955057,
        0.00894047,
        0.00896299,
        0.00940929,
        0.00946019,
        0.00907353,
        0.00955028,
        0.0092301,
        0.00893202,
        0.0091282,
        0.00996281,
        0.0101926,
        0.0101264,
        0.0100206,
        0.00985868,
        0.00973134,
        0.00978783,
        0.010307,
        0.0115369,
        0.0123498,
        0.0127314,
        0.0130666,
        0.0142978,
        0.0158307,
        0.0174375,
        0.0187576,
        0.0195395,
        0.0214082,
        0.0252465,
        0.0300322,
        0.0335081,
        0.0307382,
        0.0304052,
        0.0289246,
        0.0255938,
        0.021772,
        0.0185806,
        0.0177931,
        0.018323,
        0.0188398,
        0.0192541,
        0.0196607,
        0.0182189,
        0.0176124,
        0.0180676,
        0.0173472,
        0.0181164,
        0.0190982,
        0.0195927,
        0.0177374,
        0.018139,
        0.0205659,
        0.0250549,
        0.0256572,
        0.0279316,
        0.030357,
        null,
        0.0290394,
        0.026542,
        0.0231192,
        0.0218876,
        0.0205768,
        0.0173457,
        0.0151197,
        0.0138746,
        0.0133769,
        0.013332,
        0.0128439,
        0.0122295,
        0.0117047,
        0.011776,
        0.0118943,
        0.0117186,
        0.011215,
        0.0104758,
        0.0100999,
        0.00977979,
        0.00951048,
        0.0101295,
        0.00997042,
        0.00947171,
        0.00888646,
        0.009271,
        0.00950908,
        0.00951232,
        0.00917662,
        0.0090023,
        0.00880532,
        0.00878485,
        0.00928654,
        0.00944959,
        0.0095926,
        0.00968884,
        0.00956716,
        0.00952198,
        0.00954542,
        0.00958739,
        0.0094249,
        0.00995849,
        0.0100709,
        0.00948972,
        0.00968797,
        0.0104186,
        0.0107246,
        0.0100175,
        0.00933786,
        0.00889772,
        0.00858012,
        0.00826694,
        0.00842561,
        0.00864155,
        0.00862929,
        0.00789164,
        0.00776862,
        0.00814213,
        0.00876152,
        0.00891119,
        0.00835996,
        0.00793085,
        0.00782315,
        0.0080437,
        0.00804765,
        0.00809072,
        0.00823681,
        0.00800058,
        0.00769246,
        0.00773626,
        0.00837887,
        0.00805413,
        0.00785383,
        0.00775553,
        0.00774005,
        0.00751613,
        0.00760286,
        0.0078289,
        0.0078479,
        0.0075522,
        0.00740382,
        0.00737186,
        0.00723349,
        0.00704194,
        0.00709069,
        0.00737428,
        0.00754842,
        0.00761276,
        0.00761496,
        0.00753798,
        0.00702734,
        0.0072168,
        0.00739778,
        0.00715551,
        0.00655666,
        0.00649355,
        0.006696,
        0.00691848,
        0.00749207,
        0.00765881,
        0.00767973,
        0.00799811,
        0.00791116,
        0.00763546,
        0.00736224,
        0.00752298,
        0.00810307,
        0.00840782,
        0.00822897,
        0.00727764,
        0.00703023,
        0.00729833,
        0.00789106,
        0.00778543,
        0.00751684,
        0.007194,
        0.00691372,
        0.00767196,
        0.00768867,
        0.00748106,
        0.00745786,
        0.00738832,
        0.00762005,
        0.00770114,
        0.00697819,
        0.00701739,
        0.00675939,
        0.00650596,
        0.00705576,
        0.00703948,
        0.00681042,
        0.0065316,
        0.00655379,
        0.00652594,
        0.00674379,
        0.00716347,
        0.00704443,
        0.00732738,
        0.00772563,
        0.00808418,
        0.0079617,
        0.00776258,
        0.00758086,
        0.00745977,
        0.00683847,
        0.00687733,
        0.0073796,
        0.00816084,
        0.00782956,
        0.00749882,
        0.00721667,
        0.00700301,
        0.00700926,
        0.0068746,
        0.00664316,
        0.00649496,
        0.00654622,
        0.00689384,
        0.00749364,
        0.00814747,
        0.00798895,
        0.00766222,
        0.00733078,
        0.00693357,
        0.0067689,
        0.00653834,
        0.00616438,
        0.00654936,
        0.0067096,
        0.00695502,
        0.00749469,
        0.00725026,
        0.00737535,
        0.00754782,
        0.00742155,
        0.00746263,
        0.00766542,
        0.00779469,
        0.00745922,
        0.00689092,
        0.0065933,
        0.00668688,
        0.0074019,
        0.00735925,
        0.00746275,
        0.00771964,
        0.00755746,
        0.00750316,
        0.00747218,
        0.00742717,
        0.00728401,
        0.00744717,
        0.00759581,
        0.0076281,
        0.0079926,
        0.00830535,
        0.00812182,
        0.00716842,
        0.00710528,
        0.0073707,
        0.00752547,
        0.007119,
        0.00768698,
        0.00772944,
        0.00750806,
        0.00745886,
        0.00780356,
        0.00822847,
        0.00836052,
        0.00736657,
        0.00712565,
        0.00694634,
        0.00689658,
        0.00759304,
        0.00799186,
        0.00785454,
        0.00729342,
        0.00722714,
        0.00809882,
        0.00787643,
        0.00894383,
        0.00878768,
        0.00837591,
        0.00797647,
        0.00795922,
        0.00745349,
        0.00740096,
        0.00769873,
        0.00784383,
        0.00739808,
        0.00743574,
        0.00791069,
        0.00784056,
        0.00750193,
        0.00734802,
        0.00743792,
        0.00737713,
        0.00696474,
        0.00675516,
        0.00695091,
        0.00713959,
        0.0074065,
        0.00730583,
        0.00663391,
        0.00742488,
        0.00744425,
        0.00725666,
        0.00733086,
        0.00755327,
        0.00744195,
        0.0070802,
        0.0065547,
        0.0067365,
        0.007141,
        0.00743874,
        0.00708568,
        0.00720203,
        0.00728423,
        0.00737171,
        0.00771381,
        0.00819838,
        0.00846539,
        0.00839878,
        0.00779606,
        0.00751688,
        0.00735593,
        0.00730635,
        0.00761937,
        0.00771792,
        0.00762631,
        0.0074227,
        0.00780372,
        0.00809348,
        0.00816996,
        0.00795091,
        0.00719588,
        0.00728978,
        0.00754734,
        0.00745253,
        0.0078513,
        0.00798368,
        0.00782791,
        0.00733113,
        0.00711436,
        0.00713428,
        0.00721298,
        0.00706514,
        0.0066195,
        0.00659844,
        0.00691416,
        0.00726842,
        0.00732925,
        0.00748056,
        0.00762842,
        0.00733508,
        0.00791834,
        0.00810223,
        0.00874439,
        0.00882045,
        0.00867665,
        0.00828752,
        0.00762931,
        0.00741871,
        0.00777646,
        0.00808241,
        0.00762522,
        0.00721169,
        0.00719203,
        0.007419,
        0.00765433,
        0.00764276,
        0.00788877,
        0.00830149,
        0.00860893,
        0.00795662,
        0.00776236,
        0.00799781,
        0.00802289,
        0.00789728,
        0.00760878,
        0.00733526,
        0.00778099,
        0.00798465,
        0.00800253,
        0.00796592,
        0.00852886,
        0.00881865,
        0.00902885,
        0.0091659,
        0.00865208,
        0.0082332,
        0.00819111,
        0.00864842,
        0.00879482,
        0.00865884,
        0.00861437,
        0.00889708,
        0.00862895,
        0.0087688,
        0.0089474,
        0.00883083,
        0.00908102,
        0.00908079,
        0.0092438,
        0.0101202,
        0.0103109,
        0.0105147,
        0.010483,
        0.00969343,
        0.00957019,
        0.0101461,
        0.0109057,
        0.0107731,
        0.0105126,
        0.0103743,
        0.0106564,
        0.0121217,
        0.0118558,
        0.0112567,
        0.011064,
        0.01302,
        0.0129942,
        0.0129276,
        0.013261,
        0.0135781,
        0.0150241,
        0.0166624,
        0.0180406,
        0.0181687,
        0.0194871,
        0.0207855,
        0.0215105,
        0.0219746,
        0.025407,
        0.0299508,
        0.0343095,
        null,
        0.0117939,
        0.0129832,
        0.0139879,
        0.0145575,
        0.014608,
        0.0145386,
        0.0145246,
        0.0149385,
        0.015469,
        0.0152219,
        0.0150427,
        0.0165901,
        0.017101,
        0.0147365,
        0.0151991,
        0.016251,
        0.0178491,
        0.0195187,
        0.019809,
        0.0194,
        0.0205641,
        0.022675,
        0.0246714,
        0.0268585,
        0.0303487,
        0.0325487,
        0.0329836,
        0.0343985,
        null,
        0.0341435,
        0.0324258,
        0.0300759,
        0.0285511,
        0.0286817,
        0.0307882,
        0.0284128,
        0.0261583,
        0.0249053,
        0.0245379,
        0.0258828,
        0.0264261,
        0.0277254,
        0.0301297,
        0.0265148,
        0.0267445,
        0.0278853,
        0.0292097,
        0.0310743,
        0.0299909,
        0.0297231,
        0.0315157,
        0.0358582,
        0.0363792,
        null,
        0.0375328,
        0.0399479,
        0.0404542,
        0.0347073,
        0.0304882,
        0.0290705,
        0.0298586,
        0.025899,
        0.01832,
        0.0186056,
        0.0204766,
        0.0198003,
        0.0182955,
        0.0170485,
        0.016602,
        0.0163865,
        0.0166223,
        0.0173257,
        0.0176636,
        0.0159358,
        0.0149358,
        0.0147397,
        0.0156544,
        0.0175766,
        0.0163148,
        0.0162794,
        0.0164604,
        0.0161617,
        0.0145219,
        0.0137423,
        0.0139868,
        0.0150681,
        0.0165958,
        0.0159337,
        0.0164649,
        0.0171982,
        0.0172032,
        0.0152801,
        0.0146676,
        0.0143319,
        0.0139591,
        0.0136066,
        0.0146956,
        0.0145854,
        0.0142695,
        0.0151884,
        0.0147456,
        0.0150176,
        0.0157922,
        0.0167228,
        0.0167,
        0.0160518,
        0.0165628,
        0.017325,
        0.0155498,
        0.0171702,
        0.0176769,
        0.0177247,
        0.0183806,
        0.0223731,
        0.0216643,
        0.0201515,
        0.0198653,
        0.0220713,
        0.0202152,
        0.020676,
        0.022502,
        0.0221571,
        0.019956,
        0.0212972,
        0.022589,
        0.0215981,
        0.025421,
        0.0265625,
        0.0282773,
        0.0302082,
        0.0278175,
        0.0271791,
        0.028595,
        0.0314281,
        0.0347219,
        0.0327529,
        0.0326535,
        null,
        0.0326733,
        0.0299259,
        0.0293309,
        0.0287627,
        0.0277893,
        0.0256291,
        0.0212299,
        0.0213034,
        0.0228938,
        0.024586,
        0.0251919,
        0.0239434,
        0.0218555,
        0.0205229,
        0.0199855,
        0.0180333,
        0.0157402,
        0.0164763,
        0.0187755,
        0.0190801,
        0.0154361,
        0.0157762,
        0.0126561,
        0.0148962,
        0.0148058,
        0.0155595,
        0.0160539,
        0.0151364,
        0.0149883,
        0.0138191,
        0.0123221,
        0.0113018,
        0.0129348,
        0.0120583,
        0.0116632,
        0.0119705,
        0.0119796,
        0.0118038,
        0.0123929,
        0.0133097,
        0.0139074,
        0.0127888,
        0.0128517,
        0.0132296,
        0.0131944,
        0.011503,
        0.0111346,
        0.0109034,
        0.0105653,
        0.0103243,
        0.011378,
        0.0114476,
        0.0108663,
        0.0104622,
        0.0108249,
        0.010828,
        0.0106979,
        0.0107065,
        0.0116948,
        0.0122848,
        0.0115734,
        0.0100634,
        0.0105754,
        0.0107544,
        0.010632,
        0.0103968,
        0.0103332,
        0.0113069,
        0.0114583,
        0.0113097,
        0.0113507,
        0.0112885,
        0.0110024,
        0.0108898,
        0.0109108,
        0.0102151,
        0.0102056,
        0.0100274,
        0.00978285,
        0.0100408,
        0.0102321,
        0.010264,
        0.00985574,
        0.00881661,
        0.00973934,
        0.00998246,
        0.0100367,
        0.0101677,
        0.0102908,
        0.0100725,
        0.00995481,
        0.00973383,
        0.00854197,
        0.00880733,
        0.00900576,
        0.00892979,
        0.00850838,
        0.00998141,
        0.00998388,
        0.00943505,
        0.00905896,
        0.00912997,
        0.0087754,
        0.00884325,
        0.00928604,
        0.00886919,
        0.00779838,
        0.00804601,
        0.00884897,
        0.00828154,
        0.00850772,
        0.00856389,
        0.00845624,
        0.00827829,
        0.00896476,
        0.00943501,
        0.00944671,
        0.00901997,
        0.00895397,
        0.00820962,
        0.00775574,
        0.00774648,
        0.00801167,
        0.00840376,
        0.00841913,
        0.00823156,
        0.00810956,
        0.0085386,
        0.00826267,
        0.00803803,
        0.00831253,
        0.00857392,
        0.00840705,
        0.00792321,
        0.00753622,
        0.0086222,
        0.00838687,
        0.00848103,
        0.00877049,
        0.00858869,
        0.00873842,
        0.00858879,
        0.00826545,
        0.00792054,
        0.00761437,
        0.00766103,
        0.00797887,
        0.00824866,
        0.00712058,
        0.00696663,
        0.00787979,
        0.00736323,
        0.00691929,
        0.00700853,
        0.00765235,
        0.00767711,
        0.0073706,
        0.0070863,
        0.00770527,
        0.00779926,
        0.00758304,
        0.00732385,
        0.00744613,
        0.00764477,
        0.00790215,
        0.00810299,
        0.0081386,
        0.00824286,
        0.00850172,
        0.00832038,
        0.00760358,
        0.00797235,
        0.0077512,
        0.00757559,
        0.00751636,
        0.00715341,
        0.00720665,
        0.00717895,
        0.00728198,
        0.00795803,
        0.00800458,
        0.0076201,
        0.00744321,
        0.00794917,
        0.00732229,
        0.00750504,
        0.00770736,
        0.00755653,
        0.00723996,
        0.00771871,
        0.00804542,
        0.00816821,
        0.00864469,
        0.00764426,
        0.00741165,
        0.0080982,
        0.00948953,
        0.00891536,
        0.00858657,
        0.00824507,
        0.00775744,
        0.00817349,
        0.00834908,
        0.00851088,
        0.00872025,
        0.00879429,
        0.00849323,
        0.00761704,
        0.00756438,
        0.00750005,
        0.00804817,
        0.00772151,
        0.00803691,
        0.00842973,
        0.0084688,
        0.00774046,
        0.00827329,
        0.00817397,
        0.00724944,
        0.00754866,
        0.00754098,
        0.00750748,
        0.0073718,
        0.00683576,
        0.00714625,
        0.00732154,
        0.00712799,
        0.0063926,
        0.00724609,
        0.00778633,
        0.00786734,
        0.00751059,
        0.00767176,
        0.00820909,
        0.00817988,
        0.00737115,
        0.00654374,
        0.00673657,
        0.00665999,
        0.00642984,
        0.00684133,
        0.00717247,
        0.00752328,
        0.00762099,
        0.00716099,
        0.00753601,
        0.00707447,
        0.00646986,
        0.00626348,
        0.00646838,
        0.00705066,
        0.00727856,
        0.00692686,
        0.00626664,
        0.00638397,
        0.00670957,
        0.00698137,
        0.00689572,
        0.00696584,
        0.00705353,
        0.00701133,
        0.00665956,
        0.00655609,
        0.00677299,
        0.0069675,
        0.00695133,
        0.00754978,
        0.00698698,
        0.00647418,
        0.00646702,
        0.00639175,
        0.00616012,
        0.00632111,
        0.00683083,
        0.00725809,
        0.00668491,
        0.00621952,
        0.00621117,
        0.00700517,
        0.00668974,
        0.00644304,
        0.00648188,
        0.00693241,
        0.00711505,
        0.00699274,
        0.00699324,
        0.00730196,
        0.00758638,
        0.00697473,
        0.00662914,
        0.00670491,
        0.00668082,
        0.00684198,
        0.00685881,
        0.00677427,
        0.00676127,
        0.00675755,
        0.00695473,
        0.0074704,
        0.00834048,
        0.00750831,
        0.00727112,
        0.00739314,
        0.00766447,
        0.00759095,
        0.00750634,
        0.00696007,
        0.0061979,
        0.00671249,
        0.00706783,
        0.00704149,
        0.00686706,
        0.00715271,
        0.0068318,
        0.00688471,
        0.00720683,
        0.0075285,
        0.00786034,
        0.00783556,
        0.0073607,
        0.00652516,
        0.00719072,
        0.007376,
        0.00754504,
        0.00785765,
        0.00797801,
        0.00845119,
        0.00836581,
        0.00769614,
        0.00717859,
        0.00668566,
        0.00641489,
        0.00657828,
        0.00747696,
        0.00698652,
        0.00695913,
        0.00710566,
        0.00705396,
        0.00710804,
        0.00701364,
        0.00703019,
        0.00731216,
        0.00765606,
        0.00763243,
        0.00764129,
        0.00767172,
        0.00715193,
        0.00709236,
        0.00756943,
        0.00819715,
        0.00804664,
        0.00774213,
        0.00759479,
        0.00763933,
        0.00787877,
        0.00849151,
        0.00825786,
        0.00768888,
        0.00731036,
        0.00741503,
        0.00769925,
        0.00782029,
        0.00758942,
        0.00689374,
        0.00722694,
        0.00749994,
        0.00750871,
        0.00767212,
        0.00739243,
        0.00724988,
        0.00718423,
        0.00686919,
        0.00726388,
        0.00726492,
        0.00713863,
        0.00733688,
        0.00722192,
        0.00755686,
        0.00775163,
        0.00737429,
        0.00682356,
        0.00675829,
        0.00726702,
        0.00816854,
        0.00833036,
        0.00796833,
        0.00759582,
        0.00737271,
        0.0073721,
        0.00689,
        0.00659981,
        0.00676893,
        0.0077061,
        0.00790745,
        0.00753934,
        0.00720207,
        0.00755479,
        0.0067833,
        0.00682145,
        0.00735107,
        0.00804141,
        0.00790671,
        0.00774887,
        0.00776813,
        0.00798399,
        0.00797498,
        0.00735096,
        0.0068045,
        0.00649111,
        0.0062764,
        0.00652253,
        0.00688865,
        0.00711524,
        0.00680169,
        0.00644956,
        0.00657017,
        0.00693543,
        0.00721674,
        0.00692567,
        0.00725739,
        0.00731977,
        0.0065093,
        0.00644324,
        0.0067101,
        0.00666637,
        0.006167,
        0.00632783,
        0.00626561,
        0.00617127,
        0.00612663,
        0.00621109,
        0.00668228,
        0.00705983,
        0.00719164,
        0.00693498,
        0.00634416,
        0.00632618,
        0.0067326,
        0.00726394,
        0.00740223,
        0.00724623,
        0.00692991,
        0.00659058,
        0.00654156,
        0.00651792,
        0.006531,
        0.00658295,
        0.0066467,
        0.00692472,
        0.00698458,
        0.0067521,
        0.00648887,
        0.00659067,
        0.00665049,
        0.00664453,
        0.00669517,
        0.0069339,
        0.00706642,
        0.00709597,
        0.00706721,
        0.00719254,
        0.00744708,
        0.00719201,
        0.00596859,
        0.00614313,
        0.00641097,
        0.00640297,
        0.0060826,
        0.00679755,
        0.00727634,
        0.00722247,
        0.00677909,
        0.00732981,
        0.00703184,
        0.00688375,
        0.00711217,
        0.00761284,
        0.00766307,
        0.00773989,
        0.00764464,
        0.00689381,
        0.00730075,
        0.00768634,
        0.00779607,
        0.00743226,
        0.00751508,
        0.00765249,
        0.00779474,
        0.00785226,
        0.00719747,
        0.00680329,
        0.00650448,
        0.00635843,
        0.00734473,
        0.00798226,
        0.00805214,
        0.00768634,
        0.00770899,
        0.00780922,
        0.00825462,
        0.00885759,
        0.00904751,
        0.00896626,
        0.00865311,
        0.00803954,
        0.00702412,
        0.0074372,
        0.00782701,
        0.00794202,
        0.00756661,
        0.00807047,
        0.00793732,
        0.00780755,
        0.00804038,
        0.00734906,
        0.00756626,
        0.00772946,
        0.007499,
        0.00742277,
        0.00715164,
        0.00718901,
        0.00750268,
        0.00739117,
        0.00766697,
        0.00788075,
        0.00799358,
        0.0081196,
        0.00814036,
        0.00774092,
        0.0072347,
        0.00711484,
        0.007208,
        0.00743892,
        0.00759227,
        0.00743975,
        0.00722229,
        0.00732041,
        0.007492,
        0.00753068,
        0.00709266,
        0.00732845,
        0.00748206,
        0.00731975,
        0.00742734,
        0.0068877,
        0.0068775,
        0.00730448,
        0.00637032,
        0.00672469,
        0.00728353,
        0.00767541,
        0.0075319,
        0.00792237,
        0.00805745,
        0.00771662,
        0.00665817,
        0.00644016,
        0.00675369,
        0.00694353,
        0.00635645,
        0.00656096,
        0.00669971,
        0.00681992,
        0.00694509,
        0.00690826,
        0.00680532,
        0.00660783,
        0.00639489,
        0.0067822,
        0.00741565,
        0.00771373,
        0.00753791,
        0.00718283,
        0.00654202,
        0.00634703,
        0.00665718,
        0.00717636,
        0.00699142,
        0.00673361,
        0.00648669,
        0.00626265,
        0.00641641,
        0.00641294,
        0.00642507,
        0.00671358,
        0.00716553,
        0.00689692,
        0.00640934,
        0.0061939,
        0.00621694,
        0.00638822,
        0.00641446,
        0.00617973,
        0.00623912,
        0.00620284,
        0.00581628,
        0.00521267,
        0.00580439,
        0.00589881,
        0.00602161,
        0.00630534,
        0.00671315,
        0.00689624,
        0.00713893,
        0.00734696,
        0.00716326,
        0.00703918,
        0.00720714,
        0.00757085,
        0.00791411,
        0.0075194,
        0.00747881,
        0.00750205,
        0.00720466,
        0.00684515,
        0.00702315,
        0.00734301,
        0.00741528,
        0.00662717,
        0.00689686,
        0.00749096,
        0.00795892,
        0.00790726,
        0.00728286,
        0.00718887,
        0.00774468,
        0.00717729,
        0.00689596,
        0.00693834,
        0.00722677,
        0.00745518,
        0.00781041,
        0.00775277,
        0.00748288,
        0.00776353,
        0.00808341,
        0.00835825,
        0.00849283,
        0.00832828,
        0.00792926,
        0.00809077,
        0.00827496,
        0.00778754,
        0.00800104,
        0.00771182,
        0.00721211,
        0.00681563,
        0.00692789,
        0.00744539,
        0.00778944,
        0.00763258,
        0.00738372,
        0.00695073,
        0.00696778,
        0.00746985,
        0.00702341,
        0.0067489,
        0.00711236,
        0.00791376,
        0.00783982,
        0.00793962,
        0.00766067,
        0.00748197,
        0.00699528,
        0.00703593,
        0.00744498,
        0.00786998,
        0.00800914,
        0.00720602,
        0.0076127,
        0.0080936,
        0.00803185,
        0.00766638,
        0.00752654,
        0.00746404,
        0.00734612,
        0.00682637,
        0.00679878,
        0.0070563,
        0.0074605,
        0.00773009,
        0.00776616,
        0.00778345,
        0.00774554,
        0.00742948,
        0.00769011,
        0.00816775,
        0.0086423,
        0.00878389,
        0.00783584,
        0.0077192,
        0.00814617,
        0.00847114,
        0.00761115,
        0.00690359,
        0.00654877,
        0.00672463,
        0.00753876,
        0.0075517,
        0.00735134,
        0.00742072,
        0.0070819,
        0.00705887,
        0.0071647,
        0.00723814,
        0.00689621,
        0.00711515,
        0.00719014,
        0.00686119,
        0.00646849,
        0.00639688,
        0.00669563,
        0.00713084,
        0.00656591,
        0.0071509,
        0.00705532,
        0.00640517,
        0.00697612,
        0.00755861,
        0.00738319,
        0.00676438,
        0.00674626,
        0.00703042,
        0.00695421,
        0.00694419,
        0.00786936,
        0.00719036,
        0.00674037,
        0.00645131,
        0.00610416,
        0.00638654,
        0.00661419,
        0.00686796,
        0.00722661,
        0.00672615,
        0.00663532,
        0.00671308,
        0.00819565,
        0.00824918,
        0.00807543,
        0.00799528,
        0.00799293,
        0.00773264,
        0.0076533,
        0.0077478,
        0.00787762,
        0.00769114,
        0.00776584,
        0.00804353,
        0.00839063,
        0.0085647,
        0.00907693,
        0.00915909,
        0.00919662,
        0.00983509,
        0.00976424,
        0.00983215,
        0.00960437,
        0.00852396,
        0.00960752,
        0.0103572,
        0.0106839,
        0.0105054,
        0.00965119,
        0.00956129,
        0.00938307,
        0.00868512,
        0.00942361,
        0.0109173,
        0.0119226,
        0.011853,
        0.011719,
        0.0124458,
        0.0127052,
        0.0120881,
        0.0114538,
        0.0120797,
        0.0128925,
        0.0135089,
        0.0138055,
        0.014308,
        0.0158223,
        0.0181503,
        0.0199113,
        0.0196891,
        0.0210628,
        0.0236492,
        0.0246999,
        0.0263101,
        0.030129,
        0.0342552,
        0.034384,
        0.0435105,
        0.0373529,
        0.0334719,
        0.0289664,
        0.0284031,
        0.0267232,
        0.023682,
        0.0232903,
        0.0199286,
        0.017014,
        0.0154537,
        0.015849,
        0.0173288,
        0.0171144,
        0.0157084,
        0.0154424,
        0.0152665,
        0.0149608,
        0.0141997,
        0.012446,
        0.0123543,
        0.0117402,
        0.0108713,
        0.0103808
    ]
}