GET /api/crires_4659nm_4768nm_vstar_vv_ser/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.659518979090555,
        4.659538626456315,
        4.659558273822077,
        4.659577921187838,
        4.659597568553599,
        4.6596172159193605,
        4.6596368632851215,
        4.659656510650882,
        4.6596761580166435,
        4.6596958053824045,
        4.6597154527481655,
        4.659735100113927,
        4.659754747479688,
        4.659774394845448,
        4.65979404221121,
        4.659813689576971,
        4.659833336942732,
        4.659852984308494,
        4.659872631674255,
        4.659892279040015,
        4.659911926405777,
        4.659931573771538,
        4.659951221137299,
        4.659970868503061,
        4.659990515868822,
        4.660010163234582,
        4.660029810600344,
        4.660049457966105,
        4.660069105331866,
        4.660088752697628,
        4.660108400063389,
        4.660128047429149,
        4.660147694794911,
        4.660167342160672,
        4.660186989526433,
        4.6602066368921955,
        4.6602262842579565,
        4.660245931623717,
        4.6602655789894785,
        4.6602852263552395,
        4.660304873721,
        4.660324521086762,
        4.660344168452522,
        4.660363815818283,
        4.660383463184044,
        4.660403110549806,
        4.660422757915567,
        4.660442405281328,
        4.660462052647089,
        4.66048170001285,
        4.660501347378611,
        4.660520994744373,
        4.660540642110134,
        4.660560289475895,
        4.660579936841656,
        4.660599584207417,
        4.660619231573178,
        4.66063887893894,
        4.660658526304701,
        4.660678173670462,
        4.660697821036223,
        4.660717468401984,
        4.660737115767745,
        4.660756763133507,
        4.660776410499268,
        4.660796057865029,
        4.66081570523079,
        4.660835352596551,
        4.660854999962312,
        4.6608746473280736,
        4.6608942946938345,
        4.6609139420595955,
        4.6609335894253565,
        4.6609532367911175,
        4.6609728841568785,
        4.66099253152264,
        4.661012178888401,
        4.661031826254162,
        4.661051473619923,
        4.661071120985684,
        4.661090768351445,
        4.661110415717207,
        4.661130063082968,
        4.661149710448729,
        4.66116935781449,
        4.661189005180251,
        4.661208652546012,
        4.661228299911774,
        4.661247947277535,
        4.661267594643296,
        4.661287242009057,
        4.661306889374818,
        4.661326536740579,
        4.661346184106341,
        4.661365831472102,
        4.661385478837863,
        4.661405126203624,
        4.661424773569385,
        4.661444420935146,
        4.661464068300908,
        4.661483715666669,
        4.661503363032429,
        4.661523010398191,
        4.661542657763952,
        4.661562305129713,
        4.6615819524954745,
        4.6616015998612355,
        4.6616212472269964,
        4.661640894592758,
        4.661660541958519,
        4.66168018932428,
        4.661699836690041,
        4.661719484055803,
        4.661739131421563,
        4.661758778787324,
        4.661778426153086,
        4.661798073518847,
        4.661817720884608,
        4.66183736825037,
        4.66185701561613,
        4.661876662981891,
        4.661896310347653,
        4.661915957713414,
        4.661935605079175,
        4.661955252444937,
        4.661974899810697,
        4.661994547176458,
        4.66201419454222,
        4.662033841907981,
        4.662053489273742,
        4.662073136639504,
        4.662092784005264,
        4.662112431371025,
        4.662132078736787,
        4.662151726102548,
        4.662171373468309,
        4.66219102083407,
        4.6622106681998305,
        4.6622303155655915,
        4.662249962931353,
        4.662269610297114,
        4.662289257662875,
        4.662308905028637,
        4.662328552394397,
        4.662348199760158,
        4.66236784712592,
        4.662387494491681,
        4.662407141857442,
        4.662426789223204,
        4.662446436588964,
        4.662466083954725,
        4.662485731320487,
        4.662505378686248,
        4.662525026052009,
        4.662544673417771,
        4.662564320783531,
        4.662583968149292,
        4.662603615515054,
        4.662623262880815,
        4.662642910246576,
        4.662662557612338,
        4.662682204978098,
        4.662701852343859,
        4.662721499709621,
        4.662741147075382,
        4.662760794441143,
        4.662780441806904,
        4.662800089172665,
        4.662819736538426,
        4.6628393839041875,
        4.6628590312699485,
        4.6628786786357095,
        4.6628983260014705,
        4.6629179733672315,
        4.6629376207329924,
        4.662957268098753,
        4.662976915464515,
        4.662996562830276,
        4.663016210196036,
        4.663035857561799,
        4.66305550492756,
        4.663075152293321,
        4.663094799659083,
        4.663114447024844,
        4.663134094390604,
        4.663153741756366,
        4.663173389122127,
        4.663193036487888,
        4.66321268385365,
        4.663232331219411,
        4.663251978585171,
        4.663271625950933,
        4.663291273316694,
        4.663310920682455,
        4.663330568048217,
        4.663350215413978,
        4.663369862779738,
        4.6633895101455,
        4.663409157511261,
        4.663428804877022,
        4.6634484522427835,
        4.6634680996085445,
        4.663487746974305,
        4.6635073943400664,
        4.663527041705827,
        4.663546689071588,
        4.66356633643735,
        4.663585983803111,
        4.663605631168871,
        4.663625278534633,
        4.663644925900394,
        4.663664573266155,
        4.663684220631917,
        4.663703867997678,
        4.663723515363438,
        4.6637431627292,
        4.663762810094961,
        4.663782457460722,
        4.663802104826484,
        4.663821752192245,
        4.663841399558005,
        4.663861046923767,
        4.663880694289528,
        4.663900341655289,
        4.663919989021051,
        4.663939636386811,
        4.663959283752572,
        4.663978931118334,
        4.663998578484095,
        4.664018225849856,
        4.664037873215618,
        4.664057520581378,
        4.664077167947139,
        4.6640968153129005,
        4.6641164626786615,
        4.6641361100444225,
        4.664155757410184,
        4.6641754047759445,
        4.6641950521417055,
        4.664214699507467,
        4.664234346873228,
        4.664253994238989,
        4.66427364160475,
        4.664293288970511,
        4.664312936336272,
        4.664332583702033,
        4.664352231067795,
        4.664371878433556,
        4.664391525799317,
        4.664411173165078,
        4.664430820530839,
        4.664450467896601,
        4.664470115262363,
        4.664489762628124,
        4.664509409993885,
        4.664529057359646,
        4.664548704725407,
        4.664568352091168,
        4.66458799945693,
        4.664607646822691,
        4.664627294188452,
        4.664646941554213,
        4.664666588919974,
        4.664686236285735,
        4.6647058836514965,
        4.6647255310172575,
        4.6647451783830185,
        4.6647648257487795,
        4.6647844731145405,
        4.6648041204803015,
        4.664823767846063,
        4.664843415211824,
        4.664863062577585,
        4.664882709943346,
        4.664902357309107,
        4.664922004674868,
        4.66494165204063,
        4.664961299406391,
        4.664980946772152,
        4.665000594137913,
        4.665020241503674,
        4.665039888869435,
        4.665059536235197,
        4.665079183600958,
        4.665098830966718,
        4.66511847833248,
        4.665138125698241,
        4.665157773064002,
        4.665177420429764,
        4.665197067795525,
        4.665216715161285,
        4.665236362527047,
        4.665256009892808,
        4.665275657258569,
        4.665295304624331,
        4.665314951990092,
        4.665334599355852,
        4.665354246721614,
        4.665373894087375,
        4.665393541453136,
        4.665413188818897,
        4.665432836184658,
        4.6654524835504185,
        4.66547213091618,
        4.665491778281941,
        4.665511425647702,
        4.665531073013464,
        4.665550720379225,
        4.665570367744985,
        4.665590015110746,
        4.665609662476508,
        4.665629309842269,
        4.66564895720803,
        4.665668604573792,
        4.665688251939552,
        4.665707899305313,
        4.665727546671075,
        4.665747194036836,
        4.665766841402597,
        4.665786488768359,
        4.665806136134119,
        4.66582578349988,
        4.665845430865642,
        4.665865078231404,
        4.665884725597165,
        4.665904372962927,
        4.665924020328687,
        4.665943667694448,
        4.66596331506021,
        4.6659829624259705,
        4.6660026097917315,
        4.666022257157493,
        4.6660419045232535,
        4.6660615518890145,
        4.666081199254776,
        4.666100846620537,
        4.666120493986298,
        4.66614014135206,
        4.66615978871782,
        4.666179436083581,
        4.666199083449343,
        4.666218730815104,
        4.666238378180865,
        4.666258025546626,
        4.666277672912387,
        4.666297320278148,
        4.66631696764391,
        4.666336615009671,
        4.666356262375432,
        4.666375909741193,
        4.666395557106954,
        4.666415204472715,
        4.666434851838477,
        4.666454499204238,
        4.666474146569999,
        4.66649379393576,
        4.666513441301521,
        4.666533088667282,
        4.666552736033044,
        4.666572383398805,
        4.666592030764566,
        4.666611678130327,
        4.666631325496088,
        4.666650972861849,
        4.6666706202276105,
        4.6666902675933715,
        4.6667099149591325,
        4.666729562324893,
        4.666749209690654,
        4.666768857056415,
        4.666788504422177,
        4.666808151787938,
        4.666827799153699,
        4.66684744651946,
        4.666867093885221,
        4.666886741250982,
        4.666906388616743,
        4.666926035982505,
        4.666945683348266,
        4.666965330714026,
        4.666984978079788,
        4.667004625445549,
        4.66702427281131,
        4.667043920177072,
        4.667063567542833,
        4.667083214908593,
        4.667102862274355,
        4.667122509640116,
        4.667142157005877,
        4.667161804371639,
        4.6671814517374,
        4.66720109910316,
        4.667220746468922,
        4.667240393834683,
        4.667260041200445,
        4.6672796885662065,
        4.667299335931967,
        4.6673189832977275,
        4.667338630663489,
        4.66735827802925,
        4.667377925395011,
        4.667397572760773,
        4.667417220126533,
        4.667436867492294,
        4.667456514858056,
        4.667476162223817,
        4.667495809589578,
        4.66751545695534,
        4.6675351043211,
        4.667554751686861,
        4.667574399052623,
        4.667594046418384,
        4.667613693784145,
        4.667633341149907,
        4.667652988515667,
        4.667672635881428,
        4.66769228324719,
        4.667711930612951,
        4.667731577978712,
        4.667751225344474,
        4.667770872710234,
        4.667790520075995,
        4.667810167441757,
        4.667829814807518,
        4.667849462173279,
        4.6678691095390406,
        4.667888756904801,
        4.667908404270562,
        4.6679280516363235,
        4.6679476990020845,
        4.6679673463678455,
        4.667986993733607,
        4.6680066410993675,
        4.6680262884651285,
        4.66804593583089,
        4.668065583196651,
        4.668085230562412,
        4.668104877928174,
        4.668124525293934,
        4.668144172659695,
        4.668163820025457,
        4.668183467391218,
        4.668203114756979,
        4.66822276212274,
        4.668242409488501,
        4.668262056854262,
        4.668281704220023,
        4.668301351585785,
        4.668320998951546,
        4.668340646317307,
        4.668360293683068,
        4.668379941048829,
        4.66839958841459,
        4.668419235780352,
        4.668438883146113,
        4.668458530511874,
        4.668478177877635,
        4.668497825243396,
        4.668517472609157,
        4.668537119974919,
        4.66855676734068,
        4.668576414706441,
        4.668596062072202,
        4.668615709437963,
        4.6686353568037235,
        4.668655004169485,
        4.668674651535247,
        4.668694298901007,
        4.668713946266769,
        4.66873359363253,
        4.668753240998291,
        4.668772888364053,
        4.668792535729814,
        4.668812183095574,
        4.668831830461336,
        4.668851477827097,
        4.668871125192858,
        4.66889077255862,
        4.668910419924381,
        4.668930067290141,
        4.668949714655903,
        4.668969362021664,
        4.668989009387425,
        4.669008656753187,
        4.669028304118948,
        4.669047951484708,
        4.66906759885047,
        4.669087246216231,
        4.669106893581992,
        4.669126540947754,
        4.669146188313515,
        4.669165835679275,
        4.6691854830450366,
        4.6692051304107975,
        4.6692247777765585,
        4.66924442514232,
        4.669264072508081,
        4.6692837198738415,
        4.669303367239603,
        4.669323014605364,
        4.669342661971125,
        4.669362309336887,
        4.669381956702648,
        4.669401604068408,
        4.66942125143417,
        4.669440898799931,
        4.669460546165692,
        4.669480193531454,
        4.669499840897215,
        4.669519488262975,
        4.669539135628736,
        4.669558782994498,
        4.669578430360259,
        4.66959807772602,
        4.669617725091782,
        4.669637372457542,
        4.669657019823303,
        4.669676667189065,
        4.669696314554826,
        4.669715961920587,
        4.669735609286349,
        4.669755256652109,
        4.66977490401787,
        4.669794551383632,
        4.669814198749393,
        4.669833846115154,
        4.669853493480915,
        4.669873140846676,
        4.669892788212437,
        4.6699124355781985,
        4.6699320829439595,
        4.66995173030972,
        4.669971377675481,
        4.669991025041242,
        4.670010672407003,
        4.670030319772765,
        4.670049967138526,
        4.670069614504287,
        4.670089261870049,
        4.67010890923581,
        4.670128556601571,
        4.670148203967333,
        4.670167851333094,
        4.670187498698855,
        4.670207146064616,
        4.670226793430377,
        4.670246440796138,
        4.6702660881619,
        4.670285735527661,
        4.670305382893422,
        4.670325030259183,
        4.670344677624944,
        4.670364324990705,
        4.670383972356467,
        4.670403619722228,
        4.670423267087989,
        4.67044291445375,
        4.670462561819511,
        4.670482209185272,
        4.6705018565510334,
        4.670521503916794,
        4.670541151282555,
        4.670560798648316,
        4.670580446014077,
        4.670600093379838,
        4.6706197407456,
        4.670639388111361,
        4.670659035477122,
        4.670678682842883,
        4.670698330208644,
        4.670717977574405,
        4.670737624940167,
        4.670757272305928,
        4.670776919671689,
        4.67079656703745,
        4.670816214403211,
        4.670835861768972,
        4.670855509134733,
        4.670875156500495,
        4.670894803866256,
        4.670914451232016,
        4.670934098597778,
        4.670953745963539,
        4.6709733933293,
        4.670993040695062,
        4.671012688060822,
        4.671032335426583,
        4.671051982792345,
        4.671071630158106,
        4.671091277523867,
        4.6711109248896285,
        4.671130572255389,
        4.67115021962115,
        4.6711698669869115,
        4.6711895143526725,
        4.6712091617184335,
        4.671228809084195,
        4.6712484564499555,
        4.671268103815716,
        4.671287751181478,
        4.671307398547239,
        4.671327045913,
        4.671346693278762,
        4.671366340644522,
        4.671385988010283,
        4.671405635376045,
        4.671425282741806,
        4.671444930107567,
        4.671621756399418,
        4.67164140376518,
        4.671661051130941,
        4.671680698496702,
        4.6717003458624635,
        4.671719993228224,
        4.671739640593985,
        4.6717592879597465,
        4.6717789353255075,
        4.6717985826912685,
        4.67181823005703,
        4.67183787742279,
        4.671857524788551,
        4.671877172154313,
        4.671896819520074,
        4.671916466885835,
        4.671936114251597,
        4.671955761617357,
        4.671975408983118,
        4.67199505634888,
        4.672014703714641,
        4.672034351080402,
        4.672053998446164,
        4.672073645811924,
        4.672093293177685,
        4.672112940543447,
        4.672132587909208,
        4.672152235274969,
        4.672171882640729,
        4.672191530006491,
        4.672211177372252,
        4.672230824738013,
        4.672250472103775,
        4.672270119469536,
        4.672289766835296,
        4.672309414201058,
        4.672329061566819,
        4.67234870893258,
        4.672368356298342,
        4.672388003664103,
        4.672407651029863,
        4.6724272983956245,
        4.6724469457613855,
        4.6724665931271465,
        4.672486240492908,
        4.672505887858669,
        4.6725255352244295,
        4.672545182590191,
        4.672564829955952,
        4.672584477321713,
        4.672604124687475,
        4.672623772053236,
        4.672643419418996,
        4.672663066784758,
        4.672682714150519,
        4.67270236151628,
        4.672722008882042,
        4.672741656247803,
        4.672761303613563,
        4.672780950979325,
        4.672800598345086,
        4.672820245710847,
        4.672839893076609,
        4.67285954044237,
        4.67287918780813,
        4.672898835173892,
        4.672918482539654,
        4.672938129905415,
        4.672957777271177,
        4.6729774246369375,
        4.672997072002698,
        4.6730167193684595,
        4.6730363667342205,
        4.6730560140999815,
        4.673075661465743,
        4.673095308831504,
        4.6731149561972645,
        4.673134603563026,
        4.673154250928787,
        4.673173898294548,
        4.67319354566031,
        4.673213193026071,
        4.673232840391831,
        4.673252487757593,
        4.673272135123354,
        4.673291782489115,
        4.673311429854877,
        4.673331077220637,
        4.673350724586398,
        4.67337037195216,
        4.673390019317921,
        4.673409666683682,
        4.673429314049444,
        4.673448961415204,
        4.673468608780965,
        4.673488256146726,
        4.673507903512488,
        4.673527550878249,
        4.67354719824401,
        4.673566845609771,
        4.673586492975532,
        4.673606140341293,
        4.673625787707055,
        4.673645435072816,
        4.673665082438577,
        4.673684729804338,
        4.673704377170099,
        4.6737240245358596,
        4.673743671901621,
        4.673763319267382,
        4.673782966633143,
        4.673802613998904,
        4.673822261364665,
        4.673841908730426,
        4.673861556096188,
        4.673881203461949,
        4.67390085082771,
        4.673920498193471,
        4.673940145559232,
        4.673959792924993,
        4.673979440290755,
        4.673999087656516,
        4.674018735022277,
        4.674038382388038,
        4.674058029753799,
        4.67407767711956,
        4.674097324485322,
        4.674116971851083,
        4.674136619216844,
        4.674156266582605,
        4.674175913948366,
        4.674195561314127,
        4.674215208679889,
        4.67423485604565,
        4.674254503411411,
        4.674274150777172,
        4.674293798142933,
        4.6743134455086945,
        4.674333092874456,
        4.674352740240217,
        4.674372387605978,
        4.674392034971739,
        4.6744116823375,
        4.674431329703261,
        4.674450977069023,
        4.674470624434784,
        4.674490271800545,
        4.674509919166306,
        4.674529566532067,
        4.674549213897828,
        4.67456886126359,
        4.674588508629351,
        4.674608155995111,
        4.674627803360873,
        4.674647450726634,
        4.674667098092395,
        4.674686745458157,
        4.674706392823918,
        4.674726040189678,
        4.67474568755544,
        4.674765334921201,
        4.674784982286962,
        4.674804629652723,
        4.674824277018485,
        4.674843924384245,
        4.674863571750006,
        4.674883219115768,
        4.674902866481529,
        4.67492251384729,
        4.6749421612130515,
        4.674961808578812,
        4.674981455944573,
        4.6750011033103345,
        4.6750207506760955,
        4.6750403980418564,
        4.675060045407618,
        4.675079692773378,
        4.675099340139139,
        4.675118987504901,
        4.675138634870662,
        4.675158282236423,
        4.675177929602185,
        4.675197576967945,
        4.675217224333706,
        4.675236871699468,
        4.675256519065229,
        4.67527616643099,
        4.675295813796752,
        4.675315461162512,
        4.675335108528273,
        4.675354755894035,
        4.675374403259796,
        4.675394050625557,
        4.675413697991319,
        4.675433345357079,
        4.67545299272284,
        4.675472640088602,
        4.675492287454363,
        4.675511934820124,
        4.675531582185886,
        4.675551229551646,
        4.675570876917407,
        4.675590524283169,
        4.67561017164893,
        4.6756298190146905,
        4.675649466380452,
        4.6756691137462125,
        4.6756887611119735,
        4.675708408477735,
        4.675728055843497,
        4.675747703209258,
        4.675767350575019,
        4.67578699794078,
        4.675806645306541,
        4.675826292672303,
        4.675845940038064,
        4.675865587403825,
        4.675885234769586,
        4.675904882135347,
        4.675924529501108,
        4.67594417686687,
        4.675963824232631,
        4.675983471598392,
        4.676003118964153,
        4.676022766329914,
        4.676042413695675,
        4.676062061061437,
        4.676081708427198,
        4.676101355792959,
        4.676121003158719,
        4.676140650524481,
        4.676160297890242,
        4.676179945256003,
        4.6761995926217645,
        4.6762192399875255,
        4.676238887353286,
        4.6762585347190475,
        4.6762781820848085,
        4.6762978294505695,
        4.676317476816331,
        4.676337124182092,
        4.6763567715478525,
        4.676376418913614,
        4.676396066279375,
        4.676415713645136,
        4.676435361010898,
        4.676455008376659,
        4.676474655742419,
        4.676494303108181,
        4.676513950473942,
        4.676533597839703,
        4.676553245205465,
        4.676572892571226,
        4.676592539936986,
        4.676612187302748,
        4.676631834668509,
        4.67665148203427,
        4.676671129400032,
        4.676690776765793,
        4.676710424131553,
        4.676730071497315,
        4.676749718863076,
        4.676769366228837,
        4.676789013594599,
        4.67680866096036,
        4.67682830832612,
        4.676847955691882,
        4.676867603057643,
        4.676887250423404,
        4.6769068977891655,
        4.676926545154926,
        4.6769461925206866,
        4.676965839886448,
        4.676985487252209,
        4.67700513461797,
        4.677024781983732,
        4.677044429349492,
        4.677064076715253,
        4.677083724081015,
        4.677103371446776,
        4.677123018812537,
        4.6771426661783,
        4.67716231354406,
        4.677181960909821,
        4.677201608275583,
        4.677221255641344,
        4.677240903007105,
        4.677260550372867,
        4.677280197738627,
        4.677299845104388,
        4.67731949247015,
        4.677339139835911,
        4.677358787201672,
        4.677378434567434,
        4.677398081933194,
        4.677417729298955,
        4.677437376664716,
        4.677457024030478,
        4.677476671396239,
        4.677496318762,
        4.6775159661277605,
        4.6775356134935215,
        4.6775552608592825,
        4.677574908225044,
        4.677594555590805,
        4.677614202956566,
        4.677633850322327,
        4.677653497688088,
        4.677673145053849,
        4.677692792419611,
        4.677712439785372,
        4.677732087151133,
        4.677751734516894,
        4.677771381882655,
        4.677791029248416,
        4.677810676614178,
        4.677830323979939,
        4.6778499713457,
        4.677869618711461,
        4.677889266077222,
        4.677908913442983,
        4.677928560808745,
        4.677948208174506,
        4.677967855540267,
        4.677987502906028,
        4.678007150271789,
        4.67802679763755,
        4.678046445003312,
        4.678066092369073,
        4.678085739734833,
        4.678105387100595,
        4.678125034466356,
        4.678144681832117,
        4.6781643291978785,
        4.6781839765636395,
        4.6782036239294,
        4.6782232712951615,
        4.6782429186609225,
        4.6782625660266834,
        4.678282213392445,
        4.678301860758206,
        4.678321508123966,
        4.678341155489728,
        4.678360802855489,
        4.67838045022125,
        4.678400097587012,
        4.678419744952773,
        4.678439392318533,
        4.678459039684295,
        4.678478687050056,
        4.678498334415817,
        4.678517981781579,
        4.67853762914734,
        4.678557276513101,
        4.678576923878863,
        4.678596571244624,
        4.678616218610385,
        4.678635865976147,
        4.678655513341908,
        4.678675160707668,
        4.67869480807343,
        4.678714455439191,
        4.678734102804952,
        4.678753750170713,
        4.6787733975364745,
        4.678793044902235,
        4.678812692267996,
        4.678832339633757,
        4.678851986999518,
        4.678871634365279,
        4.678891281731041,
        4.678910929096801,
        4.678930576462562,
        4.678950223828324,
        4.678969871194085,
        4.678989518559846,
        4.679009165925608,
        4.679028813291368,
        4.679048460657129,
        4.679068108022891,
        4.679087755388652,
        4.679107402754413,
        4.679127050120175,
        4.679146697485935,
        4.679166344851696,
        4.679185992217458,
        4.679205639583219,
        4.67922528694898,
        4.679244934314742,
        4.679264581680502,
        4.679284229046263,
        4.679303876412025,
        4.679323523777786,
        4.679343171143547,
        4.679362818509308,
        4.679382465875069,
        4.67940211324083,
        4.6794217606065915,
        4.6794414079723525,
        4.6794610553381135,
        4.6794807027038745,
        4.6795003500696355,
        4.6795199974353965,
        4.679539644801158,
        4.679559292166919,
        4.67957893953268,
        4.679598586898441,
        4.679618234264202,
        4.679637881629963,
        4.679657528995725,
        4.679677176361486,
        4.679696823727247,
        4.679716471093008,
        4.679736118458769,
        4.67975576582453,
        4.679775413190292,
        4.679795060556053,
        4.679814707921814,
        4.679834355287575,
        4.679854002653336,
        4.679873650019097,
        4.679893297384859,
        4.67991294475062,
        4.679932592116381,
        4.679952239482141,
        4.679971886847904,
        4.679991534213665,
        4.6800111815794265,
        4.6800308289451875,
        4.6800504763109485,
        4.680070123676709,
        4.6800897710424705,
        4.6801094184082315,
        4.6801290657739925,
        4.680148713139754,
        4.680168360505515,
        4.680188007871275,
        4.680207655237037,
        4.680227302602798,
        4.680246949968559,
        4.680266597334321,
        4.680286244700082,
        4.680305892065842,
        4.680325539431604,
        4.680345186797365,
        4.680364834163126,
        4.680384481528888,
        4.680404128894649,
        4.680423776260409,
        4.680443423626171,
        4.680463070991932,
        4.680482718357693,
        4.680502365723455,
        4.680522013089215,
        4.680541660454976,
        4.680561307820738,
        4.680580955186499,
        4.68060060255226,
        4.680620249918022,
        4.680639897283782,
        4.680659544649543,
        4.680679192015305,
        4.680698839381066,
        4.680718486746827,
        4.680738134112588,
        4.6807577814783485,
        4.6807774288441095,
        4.680797076209871,
        4.680816723575632,
        4.680836370941393,
        4.680856018307155,
        4.680875665672915,
        4.680895313038676,
        4.681032844599005,
        4.681052491964766,
        4.681072139330527,
        4.681091786696289,
        4.681111434062049,
        4.68113108142781,
        4.681150728793572,
        4.681170376159333,
        4.681190023525094,
        4.681209670890856,
        4.681229318256616,
        4.681248965622377,
        4.681268612988138,
        4.6812882603539,
        4.681307907719661,
        4.681327555085422,
        4.681347202451183,
        4.6813668498169445,
        4.6813864971827055,
        4.681406144548467,
        4.681425791914228,
        4.681445439279989,
        4.68146508664575,
        4.681484734011511,
        4.681504381377272,
        4.681524028743034,
        4.681543676108795,
        4.681563323474556,
        4.681582970840317,
        4.681602618206078,
        4.681622265571839,
        4.681641912937601,
        4.681661560303362,
        4.681681207669122,
        4.681700855034884,
        4.681720502400645,
        4.681740149766406,
        4.681759797132168,
        4.681779444497929,
        4.681799091863689,
        4.681818739229451,
        4.681838386595212,
        4.681858033960973,
        4.681877681326735,
        4.681897328692496,
        4.681916976058256,
        4.681936623424018,
        4.681956270789779,
        4.68197591815554,
        4.6819955655213015,
        4.6820152128870625,
        4.682034860252823,
        4.682054507618584,
        4.682074154984345,
        4.682093802350106,
        4.682113449715868,
        4.682133097081629,
        4.682152744447389,
        4.682172391813151,
        4.682192039178912,
        4.682211686544673,
        4.682231333910435,
        4.682309923373479,
        4.68232957073924,
        4.682349218105002,
        4.682368865470763,
        4.682388512836523,
        4.682408160202285,
        4.682427807568046,
        4.682447454933807,
        4.682467102299569,
        4.68248674966533,
        4.68250639703109,
        4.682526044396852,
        4.682545691762613,
        4.682565339128374,
        4.682584986494135,
        4.682604633859897,
        4.682624281225657,
        4.682643928591418,
        4.6826635759571795,
        4.6826832233229405,
        4.6827028706887015,
        4.682722518054463,
        4.6827421654202235,
        4.6827618127859845,
        4.682781460151747,
        4.682801107517508,
        4.682820754883269,
        4.68284040224903,
        4.682860049614791,
        4.682879696980552,
        4.682899344346314,
        4.682918991712075,
        4.682938639077836,
        4.682958286443597,
        4.682977933809358,
        4.682997581175119,
        4.683017228540881,
        4.683036875906642,
        4.683056523272403,
        4.683076170638164,
        4.683095818003925,
        4.683115465369686,
        4.683135112735448,
        4.683154760101209,
        4.68317440746697,
        4.683194054832731,
        4.683213702198492,
        4.683233349564253,
        4.6832529969300145,
        4.6832726442957755,
        4.6832922916615365,
        4.6833119390272975,
        4.6833315863930585,
        4.6833512337588195,
        4.683370881124581,
        4.6867600517183785,
        4.690149222312175,
        4.690168869677936,
        4.690188517043698,
        4.690208164409459,
        4.69022781177522,
        4.6902474591409815,
        4.690267106506742,
        4.690286753872503,
        4.6903064012382645,
        4.6903260486040255,
        4.6903456959697865,
        4.690365343335548,
        4.690384990701308,
        4.690404638067069,
        4.690424285432831,
        4.690443932798592,
        4.690463580164353,
        4.690483227530114,
        4.690502874895875,
        4.690522522261636,
        4.690542169627397,
        4.690561816993159,
        4.69058146435892,
        4.690601111724681,
        4.690620759090442,
        4.690640406456203,
        4.690660053821964,
        4.690679701187726,
        4.690699348553487,
        4.690718995919248,
        4.690738643285009,
        4.69075829065077,
        4.690777938016531,
        4.690797585382293,
        4.690817232748054,
        4.690895822211098,
        4.69091546957686,
        4.6909351169426206,
        4.6909547643083815,
        4.6909744116741425,
        4.6909940590399035,
        4.6910137064056645,
        4.691033353771426,
        4.691053001137187,
        4.691072648502948,
        4.691092295868709,
        4.69111194323447,
        4.691131590600231,
        4.691151237965993,
        4.691170885331754,
        4.691190532697514,
        4.691210180063276,
        4.691229827429037,
        4.691249474794799,
        4.691269122160561,
        4.691288769526322,
        4.691308416892082,
        4.691328064257844,
        4.691347711623605,
        4.691367358989366,
        4.691387006355128,
        4.691406653720889,
        4.691426301086649,
        4.691445948452411,
        4.691465595818172,
        4.691485243183933,
        4.6915048905496946,
        4.6915245379154555,
        4.691544185281216,
        4.6915638326469775,
        4.6915834800127385,
        4.6916031273784995,
        4.691622774744261,
        4.691642422110022,
        4.6916620694757825,
        4.691681716841544,
        4.691701364207305,
        4.691721011573066,
        4.691740658938828,
        4.691760306304589,
        4.691779953670349,
        4.69179960103611,
        4.691819248401872,
        4.691838895767633,
        4.691858543133394,
        4.691878190499156,
        4.691897837864916,
        4.691917485230677,
        4.691937132596439,
        4.6919567799622,
        4.691976427327961,
        4.691996074693723,
        4.692015722059483,
        4.692035369425244,
        4.692055016791006,
        4.692074664156767,
        4.692094311522528,
        4.69211395888829,
        4.69213360625405,
        4.692153253619811,
        4.692172900985573,
        4.692192548351334,
        4.692212195717095,
        4.6922318430828565,
        4.692251490448617,
        4.6922711378143775,
        4.692290785180139,
        4.6923104325459,
        4.692330079911661,
        4.692349727277422,
        4.692369374643183,
        4.692389022008944,
        4.692408669374706,
        4.692428316740467,
        4.692447964106228,
        4.692467611471989,
        4.69248725883775,
        4.692506906203511,
        4.692526553569273,
        4.692546200935034,
        4.692565848300795,
        4.692585495666556,
        4.692605143032317,
        4.692624790398078,
        4.692644437763841,
        4.692664085129602,
        4.692683732495363,
        4.692703379861124,
        4.692723027226885,
        4.692742674592646,
        4.692762321958408,
        4.692781969324169,
        4.69280161668993,
        4.6928212640556906,
        4.6928409114214515,
        4.6928605587872125,
        4.692880206152974,
        4.692899853518735,
        4.692919500884496,
        4.692939148250257,
        4.692958795616018,
        4.692978442981779,
        4.692998090347541,
        4.693017737713302,
        4.693037385079063,
        4.693057032444824,
        4.693076679810585,
        4.693096327176346,
        4.693115974542107,
        4.693135621907869,
        4.69315526927363,
        4.69317491663939,
        4.693194564005152,
        4.693214211370913,
        4.693233858736674,
        4.693253506102436,
        4.693273153468197,
        4.693292800833957,
        4.693312448199719,
        4.69333209556548,
        4.693351742931241,
        4.693371390297003,
        4.693391037662764,
        4.693410685028524,
        4.693430332394286,
        4.693449979760047,
        4.693469627125808,
        4.6934892744915695,
        4.69350892185733,
        4.693528569223091,
        4.6935482165888525,
        4.6935678639546135,
        4.693587511320374,
        4.693607158686136,
        4.693626806051896,
        4.693646453417657,
        4.693666100783419,
        4.69368574814918,
        4.693705395514941,
        4.693725042880703,
        4.693744690246463,
        4.693764337612224,
        4.693783984977986,
        4.693803632343747,
        4.693823279709508,
        4.69384292707527,
        4.69386257444103,
        4.693882221806791,
        4.693901869172553,
        4.693921516538314,
        4.693941163904075,
        4.693960811269837,
        4.693980458635597,
        4.694000106001358,
        4.69401975336712,
        4.694039400732881,
        4.694059048098642,
        4.6940786954644045,
        4.694098342830165,
        4.694117990195926,
        4.694235874390492,
        4.694255521756254,
        4.694275169122015,
        4.694294816487776,
        4.694314463853538,
        4.694334111219298,
        4.694353758585059,
        4.694373405950821,
        4.694393053316582,
        4.694412700682343,
        4.694432348048104,
        4.694451995413865,
        4.694471642779626,
        4.694491290145387,
        4.694510937511149,
        4.69453058487691,
        4.694550232242671,
        4.694569879608432,
        4.694589526974193,
        4.694609174339954,
        4.694628821705716,
        4.694648469071477,
        4.694668116437237,
        4.694687763802999,
        4.69470741116876,
        4.694727058534521,
        4.6947467059002825,
        4.6947663532660435,
        4.694786000631804,
        4.6948056479975655,
        4.6948252953633265,
        4.6948449427290875,
        4.694864590094849,
        4.69488423746061,
        4.69490388482637,
        4.694923532192132,
        4.694943179557893,
        4.694962826923654,
        4.694982474289416,
        4.695002121655177,
        4.695021769020937,
        4.695041416386699,
        4.69506106375246,
        4.695080711118221,
        4.695100358483983,
        4.695120005849744,
        4.695139653215504,
        4.695159300581266,
        4.695178947947027,
        4.695198595312788,
        4.69521824267855,
        4.695237890044311,
        4.695257537410071,
        4.695277184775833,
        4.695296832141594,
        4.695316479507355,
        4.695336126873117,
        4.695355774238878,
        4.695375421604638,
        4.6953950689704,
        4.695414716336161,
        4.695434363701922,
        4.6954540110676835,
        4.695473658433445,
        4.695493305799205,
        4.695512953164967,
        4.695532600530728,
        4.695552247896489,
        4.695571895262251,
        4.695591542628012,
        4.695611189993772,
        4.695630837359534,
        4.695650484725295,
        4.695670132091056,
        4.695689779456818,
        4.695709426822579,
        4.695729074188339,
        4.6957487215541,
        4.695768368919862,
        4.695788016285623,
        4.695807663651384,
        4.695827311017145,
        4.695846958382906,
        4.695866605748667,
        4.695886253114429,
        4.69590590048019,
        4.695925547845951,
        4.695945195211712,
        4.695964842577473,
        4.695984489943234,
        4.696004137308996,
        4.696023784674757,
        4.6960434320405176,
        4.6960630794062785,
        4.6960827267720395,
        4.6961023741378005,
        4.696122021503562,
        4.696141668869323,
        4.696161316235084,
        4.696180963600845,
        4.696200610966606,
        4.696220258332367,
        4.696239905698129,
        4.69625955306389,
        4.696279200429651,
        4.696298847795412,
        4.696318495161173,
        4.696338142526934,
        4.696357789892696,
        4.696377437258457,
        4.696397084624218,
        4.696416731989979,
        4.69643637935574,
        4.696456026721501,
        4.696475674087263,
        4.696495321453024,
        4.696514968818785,
        4.696534616184546,
        4.696554263550307,
        4.696573910916068,
        4.69659355828183,
        4.696613205647591,
        4.696632853013352,
        4.696652500379113,
        4.696672147744874,
        4.696691795110635,
        4.6967114424763965,
        4.6967310898421575,
        4.6967507372079185,
        4.6967703845736795,
        4.6967900319394404,
        4.696809679305201,
        4.696829326670963,
        4.696848974036724,
        4.696868621402485,
        4.696888268768247,
        4.696907916134008,
        4.696927563499769,
        4.696947210865531,
        4.696966858231292,
        4.696986505597053,
        4.697006152962814,
        4.697025800328575,
        4.697045447694336,
        4.697065095060097,
        4.697084742425859,
        4.697104389791619,
        4.69712403715738,
        4.697143684523142,
        4.697163331888903,
        4.697182979254664,
        4.697202626620426,
        4.697222273986186,
        4.697241921351947,
        4.697261568717709,
        4.69728121608347,
        4.697300863449231,
        4.6973205108149925,
        4.697340158180753,
        4.6973598055465136,
        4.697379452912275,
        4.697399100278036,
        4.697418747643797,
        4.697438395009559,
        4.697458042375319,
        4.69747768974108,
        4.697497337106842,
        4.697516984472603,
        4.697536631838364,
        4.697556279204126,
        4.697575926569886,
        4.697595573935647,
        4.697615221301409,
        4.69763486866717,
        4.697654516032931,
        4.697674163398693,
        4.697693810764453,
        4.697713458130214,
        4.697733105495976,
        4.697752752861737,
        4.697772400227498,
        4.69779204759326,
        4.69781169495902,
        4.697831342324781,
        4.697850989690543,
        4.697870637056304,
        4.697890284422065,
        4.697909931787827,
        4.697929579153587,
        4.697949226519348,
        4.6979688738851095,
        4.6979885212508705,
        4.6980081686166315,
        4.698027815982393,
        4.6980474633481535,
        4.6980671107139145,
        4.698086758079676,
        4.698106405445437,
        4.698126052811198,
        4.69814570017696,
        4.69816534754272,
        4.698184994908481,
        4.698204642274243,
        4.698224289640004,
        4.698243937005765,
        4.698263584371526,
        4.698283231737287,
        4.698302879103049,
        4.698322526468811,
        4.698342173834572,
        4.698361821200333,
        4.698381468566093,
        4.698401115931855,
        4.698420763297616,
        4.698440410663377,
        4.698460058029139,
        4.6984797053949,
        4.69849935276066,
        4.698519000126422,
        4.698538647492183,
        4.698558294857944,
        4.6985779422237055,
        4.6985975895894665,
        4.698617236955227,
        4.6986368843209885,
        4.6986565316867495,
        4.6986761790525104,
        4.698695826418272,
        4.698715473784033,
        4.698735121149793,
        4.698754768515555,
        4.698774415881316,
        4.698794063247077,
        4.698813710612839,
        4.6988333579786,
        4.69885300534436,
        4.698872652710122,
        4.698892300075883,
        4.698911947441644,
        4.698931594807406,
        4.698951242173167,
        4.698970889538927,
        4.698990536904689,
        4.69901018427045,
        4.699029831636211,
        4.699049479001973,
        4.699069126367734,
        4.699088773733494,
        4.699108421099256,
        4.699128068465017,
        4.699147715830778,
        4.69916736319654,
        4.699187010562301,
        4.699206657928061,
        4.699226305293823,
        4.699245952659584,
        4.6992656000253445,
        4.699285247391106,
        4.699304894756867,
        4.6993245421226275,
        4.699344189488389,
        4.69936383685415,
        4.699383484219911,
        4.699403131585673,
        4.699422778951433,
        4.699442426317194,
        4.699462073682956,
        4.699481721048717,
        4.699501368414478,
        4.699619252609045,
        4.699638899974806,
        4.699658547340567,
        4.699678194706328,
        4.69969784207209,
        4.699717489437852,
        4.699737136803613,
        4.699756784169374,
        4.699776431535135,
        4.699796078900896,
        4.699815726266657,
        4.6998353736324185,
        4.6998550209981795,
        4.6998746683639405,
        4.6998943157297015,
        4.6999139630954625,
        4.6999336104612235,
        4.699953257826985,
        4.699972905192746,
        4.699992552558507,
        4.700012199924268,
        4.700031847290029,
        4.70005149465579,
        4.700071142021552,
        4.700090789387313,
        4.700110436753074,
        4.700130084118835,
        4.700149731484596,
        4.700169378850357,
        4.700189026216119,
        4.70020867358188,
        4.700228320947641,
        4.700247968313402,
        4.700267615679163,
        4.700287263044924,
        4.700306910410686,
        4.700326557776447,
        4.700346205142208,
        4.700365852507969,
        4.70038549987373,
        4.700405147239491,
        4.700424794605253,
        4.700444441971014,
        4.700464089336775,
        4.700483736702536,
        4.700503384068297,
        4.700523031434058,
        4.7005426787998195,
        4.7005623261655805,
        4.7005819735313406,
        4.700601620897102,
        4.700621268262863,
        4.700640915628624,
        4.700660562994386,
        4.700680210360147,
        4.700699857725907,
        4.700719505091669,
        4.70073915245743,
        4.700758799823191,
        4.700778447188953,
        4.700798094554714,
        4.700817741920474,
        4.700837389286236,
        4.700857036651997,
        4.700876684017758,
        4.70089633138352,
        4.700915978749281,
        4.700935626115041,
        4.700955273480802,
        4.700974920846564,
        4.700994568212325,
        4.701014215578086,
        4.701033862943848,
        4.701053510309608,
        4.701073157675369,
        4.701092805041131,
        4.701112452406892,
        4.701132099772654,
        4.701151747138415,
        4.7011713945041755,
        4.7011910418699365,
        4.701210689235698,
        4.701230336601459,
        4.70124998396722,
        4.701269631332982,
        4.701289278698742,
        4.701308926064503,
        4.701328573430265,
        4.701348220796026,
        4.701367868161787,
        4.701387515527549,
        4.701407162893309,
        4.70142681025907,
        4.701446457624832,
        4.701466104990593,
        4.701485752356354,
        4.701505399722116,
        4.701525047087876,
        4.701544694453637,
        4.701564341819399,
        4.70158398918516,
        4.701603636550921,
        4.701623283916683,
        4.701642931282443,
        4.7018197575742935,
        4.7018394049400545,
        4.7018590523058155,
        4.7018786996715765,
        4.7018983470373374,
        4.701917994403099,
        4.70193764176886,
        4.701957289134621,
        4.701976936500382,
        4.701996583866143,
        4.702016231231904,
        4.702035878597666,
        4.702055525963427,
        4.702075173329188,
        4.702094820694949,
        4.70211446806071,
        4.702134115426471,
        4.702153762792233,
        4.702173410157994,
        4.702193057523755,
        4.702212704889516,
        4.702232352255277,
        4.702251999621038,
        4.702271646986799,
        4.702291294352561,
        4.702310941718322,
        4.702330589084082,
        4.702350236449844,
        4.702369883815605,
        4.702389531181366,
        4.702409178547128,
        4.702428825912889,
        4.702448473278649,
        4.7024681206444106,
        4.7024877680101715,
        4.7025074153759325,
        4.702527062741695,
        4.702546710107456,
        4.702566357473216,
        4.702586004838978,
        4.702605652204739,
        4.7026252995705,
        4.702644946936262,
        4.702664594302023,
        4.702684241667783,
        4.702703889033545,
        4.702723536399306,
        4.702743183765067,
        4.702762831130829,
        4.70278247849659,
        4.70280212586235,
        4.702821773228112,
        4.702841420593873,
        4.702861067959634,
        4.702880715325396,
        4.702900362691157,
        4.702920010056917,
        4.702939657422679,
        4.70295930478844,
        4.702978952154201,
        4.702998599519963,
        4.703018246885723,
        4.703037894251484,
        4.7030575416172455,
        4.7030771889830065,
        4.7030968363487675,
        4.703116483714529,
        4.7031361310802895,
        4.7031557784460505,
        4.703175425811812,
        4.703195073177573,
        4.703214720543334,
        4.703234367909096,
        4.703254015274856,
        4.703273662640617,
        4.703293310006379,
        4.70331295737214,
        4.703332604737901,
        4.703352252103663,
        4.703371899469423,
        4.703391546835184,
        4.703411194200946,
        4.703430841566707,
        4.703450488932468,
        4.70347013629823,
        4.70348978366399,
        4.703509431029751,
        4.703529078395513,
        4.703548725761274,
        4.703568373127035,
        4.703588020492796,
        4.703607667858557,
        4.703627315224318,
        4.703646962590079,
        4.703666609955841,
        4.703686257321602,
        4.703705904687363,
        4.703725552053124,
        4.703745199418885,
        4.703764846784646,
        4.7037844941504074,
        4.703804141516168,
        4.703823788881929,
        4.70384343624769,
        4.703863083613451,
        4.703882730979212,
        4.703902378344974,
        4.703922025710735,
        4.703941673076497,
        4.703961320442258,
        4.703980967808019,
        4.70400061517378,
        4.704020262539542,
        4.704039909905303,
        4.704059557271064,
        4.704079204636825,
        4.704098852002586,
        4.704118499368347,
        4.704138146734109,
        4.70415779409987,
        4.70417744146563,
        4.704197088831392,
        4.704216736197153,
        4.704236383562914,
        4.704256030928676,
        4.704275678294437,
        4.704295325660197,
        4.704314973025959,
        4.70433462039172,
        4.704354267757481,
        4.704373915123242,
        4.704393562489003,
        4.7044132098547635,
        4.704432857220525,
        4.704452504586286,
        4.704472151952047,
        4.704491799317809,
        4.70451144668357,
        4.70453109404933,
        4.704550741415092,
        4.704570388780853,
        4.704590036146614,
        4.704609683512376,
        4.704629330878137,
        4.704648978243897,
        4.704668625609659,
        4.70468827297542,
        4.704707920341181,
        4.704727567706943,
        4.704747215072704,
        4.704766862438464,
        4.704786509804226,
        4.704806157169987,
        4.704825804535748,
        4.70484545190151,
        4.704865099267271,
        4.704884746633031,
        4.704904393998792,
        4.704924041364554,
        4.704943688730315,
        4.704963336096076,
        4.7049829834618375,
        4.705002630827598,
        4.705022278193359,
        4.7050419255591205,
        4.7050615729248815,
        4.7050812202906425,
        4.705100867656404,
        4.705120515022164,
        4.705140162387925,
        4.705159809753687,
        4.705179457119448,
        4.705199104485209,
        4.705218751850971,
        4.705238399216731,
        4.705258046582492,
        4.705277693948254,
        4.705297341314015,
        4.705316988679776,
        4.705336636045537,
        4.705356283411299,
        4.70537593077706,
        4.705395578142822,
        4.705415225508583,
        4.705434872874344,
        4.705454520240105,
        4.705474167605866,
        4.705493814971627,
        4.705513462337389,
        4.70553310970315,
        4.705552757068911,
        4.705572404434672,
        4.705592051800433,
        4.705611699166194,
        4.7056313465319555,
        4.7056509938977165,
        4.7056706412634774,
        4.705690288629238,
        4.705709935994999,
        4.70572958336076,
        4.705749230726522,
        4.705768878092283,
        4.705788525458044,
        4.705808172823805,
        4.705827820189566,
        4.705847467555327,
        4.705867114921089,
        4.70588676228685,
        4.705906409652611,
        4.705926057018372,
        4.705945704384133,
        4.705965351749894,
        4.705984999115656,
        4.706004646481417,
        4.706024293847178,
        4.706043941212939,
        4.7060635885787,
        4.706083235944461,
        4.706102883310223,
        4.706122530675984,
        4.706142178041745,
        4.706161825407506,
        4.706181472773267,
        4.706201120139028,
        4.706220767504789,
        4.706240414870551,
        4.7062600622363115,
        4.706279709602072,
        4.7062993569678335,
        4.7063190043335945,
        4.7063386516993555,
        4.706358299065117,
        4.706377946430878,
        4.7063975937966385,
        4.7064172411624,
        4.706436888528161,
        4.706456535893922,
        4.706476183259684,
        4.706495830625444,
        4.706515477991205,
        4.706535125356967,
        4.706554772722728,
        4.706574420088489,
        4.706594067454251,
        4.706613714820011,
        4.706633362185772,
        4.706653009551534,
        4.706672656917295,
        4.706692304283056,
        4.706711951648818,
        4.706731599014578,
        4.70675124638034,
        4.706770893746102,
        4.706790541111863,
        4.706810188477624,
        4.7068298358433855,
        4.706849483209146,
        4.706869130574907,
        4.7068887779406685,
        4.7069084253064295,
        4.7069280726721905,
        4.706947720037952,
        4.7069673674037125,
        4.7069870147694735,
        4.707006662135235,
        4.707026309500996,
        4.707045956866757,
        4.707065604232519,
        4.707085251598279,
        4.70710489896404,
        4.707124546329802,
        4.707144193695563,
        4.707163841061324,
        4.707183488427086,
        4.707203135792846,
        4.707222783158607,
        4.707242430524369,
        4.70726207789013,
        4.707281725255891,
        4.707301372621653,
        4.707321019987413,
        4.707340667353174,
        4.707360314718936,
        4.707379962084697,
        4.707399609450458,
        4.70741925681622,
        4.70743890418198,
        4.707458551547741,
        4.707478198913503,
        4.707497846279264,
        4.707517493645025,
        4.707537141010786,
        4.707556788376547,
        4.7075764357423076,
        4.7075960831080685,
        4.70761573047383,
        4.707635377839591,
        4.707655025205352,
        4.707674672571113,
        4.707694319936874,
        4.707713967302635,
        4.707733614668397,
        4.707753262034158,
        4.707772909399918,
        4.70779255676568,
        4.707812204131441,
        4.707831851497202,
        4.707851498862964,
        4.707871146228725,
        4.707890793594485,
        4.707910440960247,
        4.707930088326008,
        4.707949735691769,
        4.707969383057531,
        4.707989030423292,
        4.708008677789052,
        4.708028325154814,
        4.708047972520575,
        4.708067619886336,
        4.708087267252098,
        4.708106914617859,
        4.708126561983619,
        4.708146209349381,
        4.7081658567151425,
        4.7081855040809035,
        4.708205151446665,
        4.708224798812426,
        4.7082444461781865,
        4.708264093543948,
        4.708283740909709,
        4.708440919835799,
        4.70846056720156,
        4.70848021456732,
        4.708499861933082,
        4.708519509298843,
        4.708539156664604,
        4.708558804030366,
        4.708578451396127,
        4.708598098761887,
        4.708617746127649,
        4.70863739349341,
        4.708657040859171,
        4.708676688224933,
        4.708696335590694,
        4.708715982956454,
        4.708735630322216,
        4.708755277687977,
        4.708774925053738,
        4.7087945724194995,
        4.7088142197852605,
        4.708833867151021,
        4.708853514516782,
        4.7088731618825435,
        4.7088928092483044,
        4.708912456614065,
        4.708932103979826,
        4.708951751345587,
        4.708971398711348,
        4.70899104607711,
        4.709010693442871,
        4.709030340808632,
        4.709049988174393,
        4.709069635540154,
        4.709089282905915,
        4.709108930271677,
        4.709128577637438,
        4.709148225003199,
        4.70916787236896,
        4.709187519734721,
        4.709207167100482,
        4.709226814466244,
        4.709246461832005,
        4.709266109197766,
        4.709285756563527,
        4.709305403929288,
        4.709325051295049,
        4.709344698660811,
        4.709364346026572,
        4.709383993392333,
        4.709403640758094,
        4.709423288123855,
        4.709442935489616,
        4.7094625828553776,
        4.7094822302211385,
        4.7095018775868995,
        4.7095215249526605,
        4.7095411723184215,
        4.7095608196841825,
        4.709580467049945,
        4.709600114415706,
        4.709619761781467,
        4.709639409147228,
        4.709659056512989,
        4.70967870387875,
        4.709698351244512,
        4.709914472267884,
        4.709934119633646,
        4.709953766999407,
        4.709973414365168,
        4.709993061730929,
        4.71001270909669,
        4.710032356462451,
        4.7100520038282125,
        4.7100716511939735,
        4.710091298559734,
        4.7101109459254955,
        4.7101305932912565,
        4.7101502406570175,
        4.7101698880227785,
        4.71018953538854,
        4.7102091827543004,
        4.710228830120061,
        4.710248477485823,
        4.710268124851584,
        4.710287772217345,
        4.710307419583107,
        4.710327066948867,
        4.710346714314628,
        4.71036636168039,
        4.710386009046151,
        4.710405656411912,
        4.710425303777674,
        4.710444951143434,
        4.710464598509195,
        4.710484245874957,
        4.710503893240718,
        4.710523540606479,
        4.710543187972241,
        4.710562835338001,
        4.710582482703762,
        4.710602130069524,
        4.710621777435285,
        4.710641424801046,
        4.710661072166808,
        4.710680719532568,
        4.710700366898329,
        4.710720014264091,
        4.710739661629852,
        4.710759308995613,
        4.7107789563613744,
        4.7107986037271345,
        4.7108182510928955,
        4.710837898458657,
        4.710857545824418,
        4.710877193190179,
        4.710896840555941,
        4.710916487921701,
        4.710936135287462,
        4.710955782653224,
        4.710975430018986,
        4.710995077384747,
        4.711014724750509,
        4.711034372116269,
        4.71105401948203,
        4.711073666847792,
        4.711093314213553,
        4.711112961579314,
        4.711132608945076,
        4.711152256310836,
        4.711309435236926,
        4.711505908894536,
        4.711525556260297,
        4.711545203626058,
        4.71156485099182,
        4.711584498357581,
        4.711604145723341,
        4.711623793089103,
        4.711643440454864,
        4.711663087820625,
        4.711682735186387,
        4.711702382552148,
        4.711722029917908,
        4.71174167728367,
        4.711761324649431,
        4.711780972015192,
        4.711800619380954,
        4.711820266746715,
        4.711839914112475,
        4.711859561478237,
        4.711879208843998,
        4.711898856209759,
        4.711918503575521,
        4.711938150941282,
        4.711957798307042,
        4.711977445672804,
        4.711997093038565,
        4.712016740404326,
        4.7120363877700875,
        4.7120560351358485,
        4.712075682501609,
        4.7120953298673705,
        4.712114977233131,
        4.712134624598892,
        4.712154271964654,
        4.712173919330415,
        4.712193566696175,
        4.712213214061937,
        4.712232861427698,
        4.712252508793459,
        4.712272156159221,
        4.712291803524982,
        4.712311450890742,
        4.712331098256504,
        4.712350745622265,
        4.712370392988026,
        4.712390040353788,
        4.712409687719549,
        4.71242933508531,
        4.712448982451072,
        4.712468629816833,
        4.712488277182594,
        4.712507924548356,
        4.712527571914116,
        4.712547219279877,
        4.712566866645639,
        4.7125865140114,
        4.712606161377161,
        4.7126258087429225,
        4.712645456108683,
        4.712665103474444,
        4.712684750840205,
        4.712704398205966,
        4.712724045571727,
        4.712743692937489,
        4.712763340303249,
        4.71278298766901,
        4.712802635034771,
        4.712822282400533,
        4.712841929766294,
        4.712861577132055,
        4.712881224497816,
        4.712900871863577,
        4.712920519229338,
        4.7129401665951,
        4.712959813960861,
        4.712979461326622,
        4.712999108692383,
        4.713018756058144,
        4.713038403423905,
        4.713058050789667,
        4.713077698155428,
        4.716162334579926,
        4.71932556046747,
        4.719345207833232,
        4.719364855198993,
        4.719384502564753,
        4.719404149930515,
        4.719423797296276,
        4.719443444662037,
        4.7194630920278,
        4.719482739393561,
        4.719502386759321,
        4.719522034125083,
        4.719541681490844,
        4.719561328856605,
        4.719580976222367,
        4.719600623588127,
        4.719620270953888,
        4.71963991831965,
        4.719659565685411,
        4.7196792130511716,
        4.719698860416933,
        4.7197185077826935,
        4.7197381551484545,
        4.719757802514216,
        4.719777449879977,
        4.719797097245738,
        4.7198167446115,
        4.71983639197726,
        4.719856039343021,
        4.719875686708783,
        4.719895334074544,
        4.719914981440305,
        4.719934628806067,
        4.719954276171827,
        4.719973923537588,
        4.71999357090335,
        4.720013218269111,
        4.720032865634872,
        4.720052513000634,
        4.720072160366394,
        4.720091807732155,
        4.720111455097917,
        4.720131102463678,
        4.720150749829439,
        4.720170397195201,
        4.720190044560961,
        4.720209691926722,
        4.720229339292484,
        4.720248986658245,
        4.720268634024006,
        4.7202882813897675,
        4.720307928755528,
        4.720327576121289,
        4.7203472234870505,
        4.7203668708528115,
        4.7203865182185725,
        4.720406165584334,
        4.7204258129500944,
        4.720445460315855,
        4.720465107681617,
        4.720484755047378,
        4.720504402413139,
        4.720524049778901,
        4.720543697144661,
        4.720563344510422,
        4.720582991876183,
        4.720602639241945,
        4.720622286607706,
        4.720641933973467,
        4.720661581339228,
        4.720681228704989,
        4.72070087607075,
        4.720720523436512,
        4.720740170802273,
        4.720759818168033,
        4.720779465533795,
        4.720799112899556,
        4.720818760265317,
        4.720838407631079,
        4.720858054996841,
        4.720877702362601,
        4.720897349728363,
        4.720916997094124,
        4.720936644459885,
        4.7209562918256465,
        4.7209759391914075,
        4.720995586557168,
        4.721015233922929,
        4.72103488128869,
        4.721054528654451,
        4.721074176020213,
        4.721093823385974,
        4.721113470751734,
        4.721133118117496,
        4.721152765483257,
        4.721172412849018,
        4.72119206021478,
        4.721211707580541,
        4.721231354946301,
        4.721251002312063,
        4.721270649677824,
        4.721290297043585,
        4.721309944409347,
        4.721329591775108,
        4.721349239140868,
        4.72136888650663,
        4.721388533872391,
        4.721408181238152,
        4.721427828603914,
        4.721447475969675,
        4.721467123335435,
        4.721486770701197,
        4.721506418066958,
        4.721526065432719,
        4.721545712798481,
        4.7215653601642416,
        4.721585007530002,
        4.7216046548957635,
        4.7216243022615245,
        4.7216439496272855,
        4.721663596993047,
        4.721683244358808,
        4.7217028917245685,
        4.72172253909033,
        4.721742186456091,
        4.721761833821852,
        4.721781481187614,
        4.721801128553375,
        4.721820775919135,
        4.721840423284897,
        4.721860070650658,
        4.721879718016419,
        4.72189936538218,
        4.721919012747941,
        4.721938660113702,
        4.721958307479463,
        4.721977954845225,
        4.721997602210986,
        4.722017249576747,
        4.722036896942508,
        4.722056544308269,
        4.72207619167403,
        4.722095839039792,
        4.722115486405553,
        4.722135133771314,
        4.722154781137075,
        4.722174428502836,
        4.722194075868597,
        4.722213723234359,
        4.72223337060012,
        4.722253017965881,
        4.7222726653316425,
        4.7222923126974035,
        4.7223119600631644,
        4.722331607428926,
        4.722351254794687,
        4.722370902160448,
        4.722390549526209,
        4.72241019689197,
        4.722429844257731,
        4.722449491623493,
        4.722469138989254,
        4.722488786355015,
        4.722508433720776,
        4.722528081086537,
        4.722547728452298,
        4.72256737581806,
        4.722587023183821,
        4.722606670549582,
        4.722626317915343,
        4.722645965281104,
        4.722665612646865,
        4.722685260012627,
        4.722704907378388,
        4.722724554744149,
        4.72274420210991,
        4.722763849475671,
        4.722783496841432,
        4.722803144207194,
        4.722822791572955,
        4.722842438938716,
        4.722862086304477,
        4.722881733670238,
        4.7229013810359985,
        4.72292102840176,
        4.722940675767521,
        4.722960323133282,
        4.722979970499043,
        4.722999617864804,
        4.723019265230565,
        4.723038912596327,
        4.723058559962088,
        4.723078207327848,
        4.72309785469361,
        4.723215738888176,
        4.723235386253938,
        4.723255033619699,
        4.72327468098546,
        4.723294328351222,
        4.723313975716982,
        4.723333623082743,
        4.723353270448505,
        4.723372917814266,
        4.723392565180027,
        4.723412212545789,
        4.723431859911549,
        4.72345150727731,
        4.723471154643072,
        4.723490802008833,
        4.723510449374594,
        4.7235300967403555,
        4.723549744106116,
        4.723569391471877,
        4.7235890388376385,
        4.7236086862033995,
        4.7236283335691605,
        4.723647980934922,
        4.723667628300682,
        4.723687275666444,
        4.723706923032206,
        4.723726570397967,
        4.723746217763728,
        4.72376586512949,
        4.72378551249525,
        4.723805159861011,
        4.723824807226773,
        4.723844454592534,
        4.723864101958295,
        4.723883749324057,
        4.723903396689817,
        4.723923044055578,
        4.72394269142134,
        4.723962338787101,
        4.723981986152862,
        4.724001633518624,
        4.724021280884384,
        4.724040928250145,
        4.724060575615907,
        4.724080222981668,
        4.724099870347429,
        4.7241195177131905,
        4.724139165078951,
        4.724158812444712,
        4.7241784598104735,
        4.7241981071762345,
        4.724217754541995,
        4.724237401907757,
        4.724257049273517,
        4.724276696639278,
        4.72429634400504,
        4.724315991370801,
        4.724335638736562,
        4.724355286102323,
        4.724374933468084,
        4.724394580833845,
        4.724414228199607,
        4.724433875565368,
        4.724453522931129,
        4.72447317029689,
        4.724492817662651,
        4.724512465028412,
        4.724532112394173,
        4.724551759759935,
        4.724571407125696,
        4.724591054491456,
        4.724610701857218,
        4.724630349222979,
        4.72464999658874,
        4.724669643954502,
        4.724689291320263,
        4.724708938686023,
        4.724728586051785,
        4.724748233417546,
        4.724767880783307,
        4.7247875281490685,
        4.7248071755148295,
        4.72482682288059,
        4.7248464702463515,
        4.7248661176121125,
        4.7248857649778735,
        4.724905412343635,
        4.724925059709396,
        4.7249447070751565,
        4.724964354440918,
        4.724984001806679,
        4.72500364917244,
        4.725023296538202,
        4.725042943903963,
        4.725062591269723,
        4.725082238635486,
        4.725101886001247,
        4.725121533367008,
        4.72514118073277,
        4.725160828098531,
        4.725180475464291,
        4.725200122830053,
        4.725219770195814,
        4.725239417561575,
        4.725259064927337,
        4.725278712293098,
        4.725298359658858,
        4.72531800702462,
        4.725337654390381,
        4.725357301756142,
        4.7253769491219035,
        4.7253965964876645,
        4.725416243853425,
        4.7254358912191865,
        4.7254555385849475,
        4.7254751859507085,
        4.72549483331647,
        4.7255144806822305,
        4.7255341280479914,
        4.725553775413753,
        4.725573422779514,
        4.725593070145275,
        4.725612717511037,
        4.725632364876797,
        4.725652012242558,
        4.72567165960832,
        4.725691306974081,
        4.725710954339842,
        4.725730601705604,
        4.725750249071364,
        4.725769896437125,
        4.725789543802887,
        4.725809191168648,
        4.725828838534409,
        4.72584848590017,
        4.725868133265931,
        4.725887780631692,
        4.725907427997453,
        4.725927075363215,
        4.725946722728976,
        4.725966370094737,
        4.725986017460498,
        4.726005664826259,
        4.72602531219202,
        4.726044959557782,
        4.726064606923543,
        4.726084254289304,
        4.7261039016550646,
        4.7261235490208255,
        4.7261431963865865,
        4.726162843752348,
        4.726182491118109,
        4.72620213848387,
        4.726221785849631,
        4.726241433215392,
        4.726261080581153,
        4.726418259507243,
        4.726437906873004,
        4.726457554238765,
        4.726477201604526,
        4.726496848970287,
        4.72651649633605,
        4.726536143701811,
        4.726555791067572,
        4.726575438433333,
        4.726595085799094,
        4.726614733164855,
        4.726634380530617,
        4.726654027896378,
        4.726673675262138,
        4.7266933226278995,
        4.7267129699936605,
        4.7267326173594215,
        4.726752264725183,
        4.726771912090944,
        4.7267915594567045,
        4.726811206822466,
        4.726830854188227,
        4.726850501553988,
        4.72687014891975,
        4.726889796285511,
        4.726909443651271,
        4.726929091017033,
        4.726948738382794,
        4.726968385748555,
        4.726988033114317,
        4.727007680480078,
        4.727027327845838,
        4.7270469752116,
        4.727066622577361,
        4.727086269943122,
        4.727105917308884,
        4.727125564674645,
        4.727145212040405,
        4.727164859406166,
        4.727184506771928,
        4.727204154137689,
        4.72722380150345,
        4.727243448869212,
        4.727263096234972,
        4.727282743600733,
        4.727302390966495,
        4.727322038332256,
        4.727341685698017,
        4.7273613330637785,
        4.727380980429539,
        4.7274006277953,
        4.7274202751610614,
        4.727439922526822,
        4.727459569892583,
        4.727479217258345,
        4.727498864624105,
        4.727518511989866,
        4.727538159355628,
        4.727557806721389,
        4.72757745408715,
        4.727597101452912,
        4.727616748818672,
        4.727636396184433,
        4.727656043550195,
        4.727813222476284,
        4.727832869842045,
        4.727852517207806,
        4.727872164573567,
        4.727891811939329,
        4.727911459305091,
        4.727931106670852,
        4.727950754036613,
        4.727970401402374,
        4.727990048768135,
        4.728009696133896,
        4.728029343499657,
        4.728048990865418,
        4.728068638231179,
        4.72808828559694,
        4.728107932962701,
        4.728127580328463,
        4.728147227694224,
        4.728166875059985,
        4.728186522425746,
        4.728206169791507,
        4.728225817157268,
        4.72824546452303,
        4.728265111888791,
        4.728284759254552,
        4.728304406620313,
        4.728324053986074,
        4.728343701351835,
        4.728363348717597,
        4.728382996083358,
        4.728402643449119,
        4.72842229081488,
        4.728441938180641,
        4.728461585546402,
        4.728481232912163,
        4.728500880277925,
        4.728520527643686,
        4.728540175009446,
        4.728559822375208,
        4.728579469740969,
        4.72859911710673,
        4.7286187644724915,
        4.7286384118382525,
        4.728658059204013,
        4.7286777065697745,
        4.7286973539355355,
        4.7287170013012965,
        4.728736648667058,
        4.728756296032819,
        4.728775943398579,
        4.728795590764341,
        4.728815238130102,
        4.728834885495863,
        4.728854532861625,
        4.728874180227386,
        4.728893827593146,
        4.728913474958908,
        4.728933122324669,
        4.72895276969043,
        4.728972417056192,
        4.728992064421952,
        4.729011711787713,
        4.729031359153475,
        4.729051006519236,
        4.729070653884997,
        4.729090301250759,
        4.729109948616519,
        4.72912959598228,
        4.729149243348042,
        4.729168890713803,
        4.729188538079564,
        4.729208185445326,
        4.729227832811086,
        4.729247480176847,
        4.729267127542609,
        4.72928677490837,
        4.7293064222741314,
        4.729326069639893,
        4.729345717005653,
        4.729365364371414,
        4.729385011737176,
        4.729404659102937,
        4.729424306468698,
        4.72944395383446,
        4.72946360120022,
        4.729483248565981,
        4.729502895931743,
        4.729522543297504,
        4.729542190663265,
        4.729561838029027,
        4.729581485394787,
        4.729601132760548,
        4.72962078012631,
        4.729640427492071,
        4.729660074857832,
        4.729679722223594,
        4.729699369589354,
        4.729719016955115,
        4.729738664320877,
        4.729758311686638,
        4.729777959052399,
        4.72979760641816,
        4.729817253783921,
        4.729836901149682,
        4.729856548515443,
        4.729876195881205,
        4.7298958432469655,
        4.7299154906127265,
        4.7299351379784875,
        4.7299547853442485,
        4.7299744327100095,
        4.729994080075771,
        4.730013727441532,
        4.730033374807293,
        4.730053022173054,
        4.730072669538815,
        4.730092316904576,
        4.730111964270338,
        4.730131611636099,
        4.73015125900186,
        4.730170906367621,
        4.730190553733382,
        4.730210201099143,
        4.730229848464905,
        4.730249495830666,
        4.730269143196426,
        4.730288790562188,
        4.730308437927949,
        4.7304852642198,
        4.73050491158556,
        4.730524558951322,
        4.730544206317083,
        4.730563853682844,
        4.7305835010486055,
        4.7306031484143665,
        4.730622795780127,
        4.730642443145888,
        4.730662090511649,
        4.73068173787741,
        4.730701385243172,
        4.730721032608933,
        4.730740679974694,
        4.730760327340456,
        4.730779974706217,
        4.730799622071978,
        4.73081926943774,
        4.730838916803501,
        4.730858564169261,
        4.730878211535023,
        4.730897858900784,
        4.730917506266545,
        4.730937153632307,
        4.730956800998068,
        4.730976448363828,
        4.73099609572959,
        4.731015743095351,
        4.731035390461112,
        4.731055037826874,
        4.731074685192635,
        4.731094332558395,
        4.731113979924156,
        4.731133627289918,
        4.731153274655679,
        4.73117292202144,
        4.7311925693872015,
        4.7312122167529616,
        4.7312318641187225,
        4.731251511484484,
        4.731271158850245,
        4.731290806216006,
        4.731310453581768,
        4.731330100947528,
        4.731349748313289,
        4.731369395679051,
        4.731389043044812,
        4.731408690410573,
        4.731428337776334,
        4.731447985142095,
        4.731467632507856,
        4.731487279873618,
        4.731506927239379,
        4.73152657460514,
        4.731546221970901,
        4.731565869336662,
        4.731585516702423,
        4.731605164068185,
        4.731624811433946,
        4.731644458799707,
        4.731664106165468,
        4.731683753531229,
        4.73170340089699,
        4.731723048262752,
        4.731742695628513,
        4.731762342994274,
        4.731781990360035,
        4.731801637725796,
        4.731821285091557,
        4.7318409324573185,
        4.7318605798230795,
        4.7318802271888405,
        4.7318998745546015,
        4.7319195219203625,
        4.7319391692861235,
        4.731958816651885,
        4.731978464017646,
        4.731998111383407,
        4.732017758749168,
        4.732037406114929,
        4.73205705348069,
        4.732076700846452,
        4.732096348212213,
        4.732115995577974,
        4.732135642943736,
        4.732155290309497,
        4.732174937675258,
        4.73219458504102,
        4.732214232406781,
        4.732233879772542,
        4.732253527138303,
        4.732273174504064,
        4.732292821869825,
        4.732312469235587,
        4.732332116601348,
        4.732351763967109,
        4.73237141133287,
        4.732391058698631,
        4.732410706064392,
        4.732430353430153,
        4.7324500007959145,
        4.7324696481616755,
        4.732489295527436,
        4.7325089428931975,
        4.7325285902589584,
        4.732548237624719,
        4.732567884990481,
        4.732587532356241,
        4.732607179722002,
        4.732626827087764,
        4.732646474453525,
        4.732666121819286,
        4.732685769185048,
        4.732705416550808,
        4.732725063916569,
        4.732744711282331,
        4.732764358648092,
        4.732784006013853,
        4.732803653379615,
        4.732823300745375,
        4.732842948111136,
        4.732862595476898,
        4.732882242842659,
        4.73290189020842,
        4.732921537574182,
        4.732941184939942,
        4.732960832305703,
        4.732980479671465,
        4.733000127037226,
        4.733019774402987,
        4.733039421768749,
        4.733059069134509,
        4.73307871650027,
        4.7330983638660316,
        4.7331180112317925,
        4.7331376585975535,
        4.733157305963315,
        4.7331769533290755,
        4.7331966006948365,
        4.733216248060598,
        4.733235895426359,
        4.73325554279212,
        4.733275190157882,
        4.733294837523642,
        4.733314484889403,
        4.733334132255165,
        4.733353779620926,
        4.733373426986687,
        4.733393074352449,
        4.733412721718209,
        4.73343236908397,
        4.733452016449732,
        4.733471663815493,
        4.733491311181254,
        4.733510958547016,
        4.733530605912776,
        4.733550253278537,
        4.7335699006443,
        4.733589548010061,
        4.733609195375822,
        4.733628842741584,
        4.733648490107344,
        4.733668137473105,
        4.7336877848388665,
        4.7337074322046275,
        4.7337270795703885,
        4.733746726936149,
        4.7337663743019105,
        4.7337860216676715,
        4.7338056690334325,
        4.733825316399194,
        4.733844963764955,
        4.733864611130715,
        4.733884258496477,
        4.733903905862238,
        4.733923553227999,
        4.733943200593761,
        4.733962847959522,
        4.733982495325282,
        4.734002142691044,
        4.734021790056805,
        4.734041437422566,
        4.734061084788328,
        4.734080732154089,
        4.734100379519849,
        4.734120026885611,
        4.734139674251372,
        4.734159321617133,
        4.734178968982895,
        4.734198616348656,
        4.734218263714416,
        4.734237911080178,
        4.734257558445939,
        4.7342772058117,
        4.734296853177462,
        4.734316500543223,
        4.734336147908983,
        4.734355795274745,
        4.734375442640506,
        4.734395090006267,
        4.7344147373720284,
        4.734434384737789,
        4.7344540321035495,
        4.734473679469311,
        4.734493326835072,
        4.734512974200833,
        4.734532621566595,
        4.734552268932356,
        4.734571916298116,
        4.734591563663878,
        4.734611211029639,
        4.7346308583954,
        4.734650505761162,
        4.734670153126923,
        4.734689800492683,
        4.734709447858445,
        4.734729095224206,
        4.734748742589967,
        4.734768389955729,
        4.73478803732149,
        4.73480768468725,
        4.734827332053012,
        4.734846979418773,
        4.734866626784534,
        4.734886274150296,
        4.734905921516056,
        4.734925568881817,
        4.734945216247579,
        4.734964863613341,
        4.734984510979102,
        4.735004158344863,
        4.7350238057106235,
        4.7350434530763845,
        4.7350631004421455,
        4.735082747807907,
        4.735102395173668,
        4.735122042539429,
        4.73514168990519,
        4.735161337270951,
        4.735180984636712,
        4.735200632002474,
        4.735220279368235,
        4.735239926733996,
        4.735259574099757,
        4.735279221465518,
        4.735298868831279,
        4.735318516197041,
        4.735338163562802,
        4.735357810928563,
        4.735377458294324,
        4.735397105660085,
        4.735416753025846,
        4.735554284586175,
        4.735573931951936,
        4.735593579317697,
        4.735613226683458,
        4.735632874049219,
        4.73565252141498,
        4.7356721687807415,
        4.7356918161465025,
        4.7357114635122635,
        4.7357311108780245,
        4.735750758243785,
        4.735770405609546,
        4.735790052975308,
        4.735809700341069,
        4.73582934770683,
        4.735848995072591,
        4.735868642438352,
        4.735888289804113,
        4.735907937169875,
        4.735927584535636,
        4.735947231901397,
        4.735966879267158,
        4.735986526632919,
        4.73600617399868,
        4.736025821364442,
        4.736045468730203,
        4.736065116095964,
        4.736084763461725,
        4.736104410827486,
        4.736124058193247,
        4.736143705559009,
        4.73616335292477,
        4.73618300029053,
        4.736202647656292,
        4.736222295022053,
        4.736241942387814,
        4.736261589753576,
        4.736281237119337,
        4.736300884485097,
        4.736320531850858,
        4.7363401792166195,
        4.736359826582381,
        4.736379473948142,
        4.736399121313904,
        4.736418768679664,
        4.736438416045425,
        4.736458063411187,
        4.736477710776948,
        4.736497358142709,
        4.736517005508471,
        4.736536652874231,
        4.736556300239992,
        4.736575947605754,
        4.736595594971515,
        4.736615242337276,
        4.736634889703038,
        4.736654537068798,
        4.736674184434559,
        4.736693831800321,
        4.736713479166082,
        4.736733126531843,
        4.736752773897605,
        4.736772421263365,
        4.736792068629126,
        4.736811715994888,
        4.736831363360649,
        4.73685101072641,
        4.736870658092172,
        4.736890305457932,
        4.736909952823693,
        4.7369296001894545,
        4.7369492475552155,
        4.7369688949209765,
        4.736988542286738,
        4.7370081896524985,
        4.7370278370182595,
        4.737047484384021,
        4.737067131749782,
        4.737086779115543,
        4.737106426481305,
        4.737126073847065,
        4.737145721212826,
        4.737165368578588,
        4.737185015944349,
        4.73720466331011,
        4.737224310675872,
        4.737243958041632,
        4.737263605407393,
        4.737283252773155,
        4.737302900138916,
        4.737322547504677,
        4.737342194870438,
        4.737361842236199,
        4.73738148960196,
        4.737401136967722,
        4.737420784333483,
        4.737440431699244,
        4.737460079065005,
        4.737479726430766,
        4.737499373796527,
        4.737519021162289,
        4.73753866852805,
        4.737558315893811,
        4.737577963259572,
        4.737597610625333,
        4.737617257991094,
        4.7376369053568546,
        4.737656552722616,
        4.737676200088377,
        4.7376958474541375,
        4.737715494819899,
        4.73773514218566,
        4.737754789551421,
        4.737774436917183,
        4.737794084282945,
        4.737813731648705,
        4.737833379014467,
        4.737853026380228,
        4.737872673745989,
        4.737892321111751,
        4.737911968477512,
        4.737931615843272,
        4.737951263209034,
        4.737970910574795,
        4.737990557940556,
        4.738010205306318,
        4.7382263263296895,
        4.738245973695451,
        4.738265621061212,
        4.7382852684269725,
        4.738304915792734,
        4.738324563158495,
        4.738344210524256,
        4.738363857890018,
        4.738383505255779,
        4.738403152621539,
        4.738422799987301,
        4.738442447353062,
        4.738462094718823,
        4.738481742084585,
        4.738501389450345,
        4.738521036816106,
        4.738540684181868,
        4.738560331547629,
        4.73857997891339,
        4.738599626279152,
        4.738619273644912,
        4.738638921010673,
        4.738658568376435,
        4.738678215742196,
        4.738697863107957,
        4.738717510473719,
        4.738737157839479,
        4.73875680520524,
        4.738776452571002,
        4.738796099936763,
        4.738815747302524,
        4.7388353946682855,
        4.738855042034046,
        4.738874689399807,
        4.7388943367655685,
        4.7389139841313295,
        4.7389336314970905,
        4.7389532788628514,
        4.738972926228612,
        4.738992573594373,
        4.739012220960134,
        4.739031868325896,
        4.739051515691657,
        4.739071163057418,
        4.739090810423179,
        4.73911045778894,
        4.739130105154701,
        4.739149752520463,
        4.739169399886224,
        4.739189047251986,
        4.739208694617747,
        4.739228341983508,
        4.739247989349269,
        4.739267636715031,
        4.739287284080792,
        4.739306931446553,
        4.739326578812314,
        4.739346226178075,
        4.739365873543836,
        4.739385520909598,
        4.739405168275359,
        4.7395230524699254,
        4.739758820859059,
        4.739778468224819,
        4.739798115590581,
        4.739817762956342,
        4.739837410322103,
        4.739857057687865,
        4.739876705053626,
        4.739896352419386,
        4.739915999785148,
        4.739935647150909,
        4.73995529451667,
        4.739974941882432,
        4.739994589248193,
        4.740014236613953,
        4.740033883979715,
        4.740053531345476,
        4.740073178711237,
        4.7400928260769986,
        4.7401124734427595,
        4.74013212080852,
        4.7401517681742815,
        4.7401714155400425,
        4.7401910629058035,
        4.740210710271565,
        4.740230357637326,
        4.7402500050030865,
        4.7402696523688475,
        4.740289299734609,
        4.74030894710037,
        4.740328594466131,
        4.740348241831893,
        4.740367889197653,
        4.740387536563414,
        4.740407183929176,
        4.740426831294937,
        4.740446478660698,
        4.74046612602646,
        4.74048577339222,
        4.740505420757981,
        4.740525068123743,
        4.740544715489504,
        4.740564362855265,
        4.740584010221027,
        4.740603657586787,
        4.740623304952549,
        4.740642952318311,
        4.740662599684072,
        4.740682247049833,
        4.7407018944155945,
        4.740721541781355,
        4.740741189147116,
        4.7407608365128775,
        4.7407804838786385,
        4.7408001312443995,
        4.740819778610161,
        4.7408394259759215,
        4.740859073341682,
        4.740878720707444,
        4.740898368073205,
        4.740918015438966,
        4.740937662804727,
        4.740957310170488,
        4.740976957536249,
        4.740996604902011,
        4.741016252267772,
        4.741035899633533,
        4.741055546999294,
        4.741075194365055,
        4.741094841730816,
        4.741114489096578,
        4.741134136462339,
        4.7411537838281,
        4.741173431193861,
        4.741193078559622,
        4.741212725925383,
        4.741232373291145,
        4.741252020656906,
        4.744228596569718,
        4.74736235140862,
        4.747381998774381,
        4.747401646140143,
        4.747421293505904,
        4.747440940871664,
        4.747460588237426,
        4.747480235603187,
        4.747499882968948,
        4.74751953033471,
        4.747539177700471,
        4.747558825066231,
        4.747578472431993,
        4.747598119797754,
        4.747617767163515,
        4.747637414529277,
        4.747657061895038,
        4.747676709260799,
        4.747696356626561,
        4.747716003992322,
        4.747735651358083,
        4.7477552987238445,
        4.7477749460896055,
        4.747794593455366,
        4.7478142408211275,
        4.7478338881868885,
        4.747853535552649,
        4.747873182918411,
        4.747892830284172,
        4.747912477649932,
        4.747932125015694,
        4.747951772381455,
        4.747971419747216,
        4.747991067112978,
        4.748010714478738,
        4.748030361844499,
        4.748050009210261,
        4.748069656576022,
        4.748089303941783,
        4.748108951307545,
        4.748128598673305,
        4.748148246039066,
        4.748167893404827,
        4.748187540770589,
        4.74820718813635,
        4.748226835502111,
        4.748246482867872,
        4.748266130233633,
        4.748285777599394,
        4.748305424965156,
        4.748325072330917,
        4.748344719696678,
        4.748364367062439,
        4.7483840144282,
        4.748403661793961,
        4.7484233091597225,
        4.7484429565254835,
        4.7484626038912445,
        4.7484822512570055,
        4.7485018986227665,
        4.7485215459885275,
        4.748541193354289,
        4.74856084072005,
        4.748580488085811,
        4.748600135451572,
        4.748619782817333,
        4.748639430183094,
        4.748659077548856,
        4.748678724914617,
        4.748698372280378,
        4.748718019646139,
        4.7487376670119,
        4.748757314377661,
        4.748776961743423,
        4.748796609109184,
        4.748816256474945,
        4.748835903840706,
        4.748855551206467,
        4.748875198572228,
        4.74889484593799,
        4.748914493303751,
        4.748934140669512,
        4.748953788035273,
        4.748973435401034,
        4.748993082766795,
        4.749012730132557,
        4.749032377498318,
        4.749052024864079,
        4.7490716722298405,
        4.7490913195956015,
        4.7491109669613625,
        4.749130614327124,
        4.749150261692885,
        4.7491699090586454,
        4.749189556424407,
        4.749209203790168,
        4.749228851155929,
        4.749248498521691,
        4.749268145887452,
        4.749287793253212,
        4.749307440618974,
        4.749327087984735,
        4.749346735350496,
        4.749366382716258,
        4.749386030082019,
        4.749405677447779,
        4.749425324813541,
        4.749444972179302,
        4.749464619545063,
        4.749484266910824,
        4.749503914276586,
        4.749523561642346,
        4.749543209008107,
        4.749562856373869,
        4.74958250373963,
        4.749602151105391,
        4.749621798471153,
        4.749641445836913,
        4.749661093202674,
        4.749680740568436,
        4.749700387934197,
        4.749720035299958,
        4.749739682665719,
        4.7497593300314795,
        4.7497789773972405,
        4.749798624763002,
        4.749818272128763,
        4.749837919494524,
        4.749857566860286,
        4.749877214226046,
        4.749896861591807,
        4.749916508957569,
        4.74993615632333,
        4.749955803689091,
        4.749975451054853,
        4.749995098420613,
        4.750014745786374,
        4.750034393152136,
        4.750054040517897,
        4.750073687883658,
        4.75009333524942,
        4.75011298261518,
        4.750132629980941,
        4.750152277346703,
        4.750171924712464,
        4.750191572078225,
        4.750211219443987,
        4.750230866809747,
        4.750250514175508,
        4.75027016154127,
        4.750289808907031,
        4.750309456272792,
        4.750329103638553,
        4.750348751004314,
        4.750368398370075,
        4.7503880457358365,
        4.7504076931015975,
        4.7504273404673585,
        4.7504469878331195,
        4.750466635198881,
        4.750486282564642,
        4.750505929930404,
        4.750525577296165,
        4.750545224661926,
        4.750564872027687,
        4.750584519393448,
        4.750604166759209,
        4.750623814124971,
        4.750643461490732,
        4.750663108856493,
        4.750682756222254,
        4.750702403588015,
        4.750722050953776,
        4.750741698319538,
        4.750761345685299,
        4.750859582514104,
        4.750879229879866,
        4.750898877245627,
        4.750918524611387,
        4.750938171977149,
        4.75095781934291,
        4.750977466708671,
        4.7509971140744325,
        4.7510167614401935,
        4.751036408805954,
        4.7510560561717154,
        4.751075703537476,
        4.751095350903237,
        4.751114998268999,
        4.75113464563476,
        4.75115429300052,
        4.751173940366282,
        4.751193587732043,
        4.751213235097804,
        4.751232882463566,
        4.751252529829327,
        4.751272177195087,
        4.751291824560849,
        4.75131147192661,
        4.751331119292371,
        4.751350766658133,
        4.751370414023894,
        4.751390061389654,
        4.751409708755416,
        4.751429356121177,
        4.751449003486938,
        4.7514686508527,
        4.75148829821846,
        4.751507945584221,
        4.751527592949983,
        4.751547240315744,
        4.751566887681505,
        4.751586535047267,
        4.751606182413027,
        4.751625829778788,
        4.7516454771445495,
        4.7516651245103105,
        4.7516847718760715,
        4.751704419241833,
        4.7517240666075935,
        4.7517437139733545,
        4.751763361339116,
        4.751783008704877,
        4.751802656070638,
        4.7518223034364,
        4.75184195080216,
        4.751861598167921,
        4.751881245533683,
        4.751900892899445,
        4.751920540265206,
        4.751940187630968,
        4.751959834996728,
        4.751979482362489,
        4.751999129728251,
        4.752018777094012,
        4.752038424459773,
        4.752058071825535,
        4.752077719191295,
        4.752097366557056,
        4.752117013922817,
        4.752136661288579,
        4.75215630865434,
        4.752175956020101,
        4.752195603385862,
        4.752215250751623,
        4.752234898117384,
        4.7522545454831455,
        4.7522741928489065,
        4.7522938402146675,
        4.7523134875804285,
        4.7523331349461895,
        4.7523527823119505,
        4.752372429677712,
        4.752392077043473,
        4.752411724409234,
        4.752431371774995,
        4.752451019140756,
        4.752470666506517,
        4.752490313872279,
        4.75250996123804,
        4.752529608603801,
        4.752549255969562,
        4.752568903335323,
        4.752588550701084,
        4.752608198066846,
        4.752627845432607,
        4.752647492798368,
        4.752667140164129,
        4.75268678752989,
        4.752706434895651,
        4.752726082261413,
        4.752745729627174,
        4.752765376992934,
        4.752785024358696,
        4.752804671724457,
        4.752824319090218,
        4.75284396645598,
        4.752863613821741,
        4.752883261187501,
        4.752902908553263,
        4.752922555919024,
        4.752942203284785,
        4.752961850650546,
        4.752981498016307,
        4.7530011453820675,
        4.753020792747829,
        4.75304044011359,
        4.753060087479351,
        4.753079734845113,
        4.753099382210874,
        4.753119029576634,
        4.753138676942396,
        4.753158324308157,
        4.753177971673918,
        4.75319761903968,
        4.753217266405441,
        4.753236913771201,
        4.753256561136963,
        4.753276208502724,
        4.753295855868486,
        4.753315503234248,
        4.753335150600009,
        4.753354797965769,
        4.753374445331531,
        4.753394092697292,
        4.753413740063053,
        4.753433387428814,
        4.753453034794576,
        4.753472682160336,
        4.753492329526097,
        4.753511976891859,
        4.7535316242576195,
        4.7535512716233805,
        4.753570918989142,
        4.7535905663549025,
        4.7536102137206635,
        4.753629861086425,
        4.753649508452186,
        4.753669155817947,
        4.753688803183709,
        4.753708450549469,
        4.75372809791523,
        4.753747745280992,
        4.753767392646753,
        4.753787040012514,
        4.753806687378276,
        4.753826334744036,
        4.753845982109797,
        4.753865629475559,
        4.75388527684132,
        4.753904924207081,
        4.753924571572842,
        4.753944218938603,
        4.753963866304364,
        4.753983513670126,
        4.754003161035887,
        4.754022808401648,
        4.754042455767409,
        4.754179987327737,
        4.754199634693498,
        4.7542192820592595,
        4.7542389294250205,
        4.7542585767907815,
        4.754278224156542,
        4.754297871522303,
        4.754317518888064,
        4.754337166253826,
        4.754356813619587,
        4.754376460985348,
        4.754396108351109,
        4.75441575571687,
        4.754435403082631,
        4.754455050448393,
        4.754474697814154,
        4.754494345179915,
        4.754513992545676,
        4.754533639911437,
        4.754553287277198,
        4.75457293464296,
        4.754592582008721,
        4.754612229374482,
        4.754631876740242,
        4.754651524106004,
        4.754671171471765,
        4.754690818837526,
        4.754710466203288,
        4.75473011356905,
        4.75474976093481,
        4.754769408300572,
        4.754789055666333,
        4.754808703032094,
        4.7548283503978555,
        4.754847997763616,
        4.7548676451293765,
        4.754887292495138,
        4.754906939860899,
        4.75492658722666,
        4.754946234592422,
        4.754965881958183,
        4.754985529323943,
        4.755005176689705,
        4.755024824055466,
        4.755044471421227,
        4.755064118786989,
        4.755083766152749,
        4.75510341351851,
        4.755123060884272,
        4.755142708250033,
        4.755162355615794,
        4.755182002981556,
        4.755201650347316,
        4.755221297713077,
        4.755240945078839,
        4.7552605924446,
        4.755280239810361,
        4.755299887176123,
        4.755319534541883,
        4.755339181907644,
        4.755358829273406,
        4.755378476639167,
        4.755398124004928,
        4.7554177713706896,
        4.75543741873645,
        4.755457066102211,
        4.7554767134679725,
        4.7554963608337335,
        4.7555160081994945,
        4.755535655565256,
        4.7555553029310165,
        4.7555749502967775,
        4.755594597662539,
        4.7556142450283,
        4.755633892394061,
        4.755653539759823,
        4.755673187125583,
        4.755692834491344,
        4.755712481857106,
        4.755732129222867,
        4.755751776588628,
        4.75577142395439,
        4.75579107132015,
        4.755810718685911,
        4.755830366051673,
        4.755850013417434,
        4.755869660783195,
        4.755889308148957,
        4.755908955514717,
        4.755928602880478,
        4.755948250246239,
        4.755967897612001,
        4.755987544977762,
        4.756007192343523,
        4.756026839709284,
        4.756046487075045,
        4.756066134440806,
        4.756085781806568,
        4.756105429172329,
        4.7561250765380905,
        4.7561447239038515,
        4.7561643712696124,
        4.756184018635373,
        4.756203666001135,
        4.756223313366896,
        4.756242960732656,
        4.756262608098418,
        4.756282255464179,
        4.75630190282994,
        4.756321550195702,
        4.756341197561463,
        4.756360844927223,
        4.756380492292985,
        4.756400139658746,
        4.756419787024507,
        4.756439434390269,
        4.75645908175603,
        4.75647872912179,
        4.756498376487552,
        4.756518023853313,
        4.756537671219074,
        4.756557318584836,
        4.756576965950597,
        4.756596613316357,
        4.756616260682119,
        4.75663590804788,
        4.756655555413641,
        4.756675202779403,
        4.756694850145164,
        4.756714497510924,
        4.7567341448766856,
        4.7567537922424465,
        4.7567734396082075,
        4.756793086973969,
        4.75681273433973,
        4.7568323817054905,
        4.756852029071252,
        4.756871676437013,
        4.756891323802774,
        4.756910971168536,
        4.756930618534297,
        4.756950265900057,
        4.756969913265819,
        4.75698956063158,
        4.757009207997341,
        4.757028855363103,
        4.757048502728864,
        4.757068150094624,
        4.757087797460386,
        4.757107444826147,
        4.757127092191908,
        4.75714673955767,
        4.757166386923431,
        4.757186034289191,
        4.757205681654953,
        4.757225329020714,
        4.757244976386475,
        4.757264623752236,
        4.757284271117998,
        4.757303918483758,
        4.757323565849519,
        4.757343213215281,
        4.757362860581042,
        4.757382507946803,
        4.757402155312564,
        4.757421802678325,
        4.757441450044086,
        4.7574610974098475,
        4.7574807447756084,
        4.757500392141369,
        4.757520039507131,
        4.757569157921534,
        4.757814749993549,
        4.75783439735931,
        4.757854044725071,
        4.757873692090832,
        4.757893339456593,
        4.757912986822354,
        4.757932634188116,
        4.757952281553877,
        4.757971928919638,
        4.757991576285399,
        4.75801122365116,
        4.758030871016921,
        4.7580505183826824,
        4.758070165748443,
        4.758089813114204,
        4.758109460479965,
        4.758129107845726,
        4.758148755211487,
        4.758168402577249,
        4.75818804994301,
        4.758207697308771,
        4.758227344674532,
        4.758246992040293,
        4.758266639406054,
        4.758286286771816,
        4.758305934137577,
        4.758325581503338,
        4.758345228869099,
        4.75836487623486,
        4.758384523600621,
        4.758404170966383,
        4.758423818332144,
        4.758443465697905,
        4.758463113063666,
        4.758482760429427,
        4.758502407795188,
        4.75852205516095,
        4.758541702526711,
        4.758561349892472,
        4.758580997258232,
        4.758600644623994,
        4.758620291989755,
        4.758639939355516,
        4.7586595867212775,
        4.758679234087038,
        4.758698881452799,
        4.7587185288185605,
        4.7587381761843215,
        4.7587578235500825,
        4.758777470915844,
        4.7587971182816045,
        4.758816765647365,
        4.758836413013127,
        4.758856060378888,
        4.758875707744649,
        4.758895355110411,
        4.758915002476171,
        4.758934649841932,
        4.758954297207695,
        4.758973944573456,
        4.758993591939217,
        4.759013239304979,
        4.759032886670739,
        4.7590525340365,
        4.759072181402262,
        4.759091828768023,
        4.759111476133784,
        4.759131123499546,
        4.759150770865306,
        4.759170418231067,
        4.759190065596829,
        4.75920971296259,
        4.759229360328351,
        4.7592490076941125,
        4.759268655059873,
        4.759288302425634,
        4.7593079497913955,
        4.7593275971571565,
        4.7593472445229175,
        4.759366891888679,
        4.759386539254439,
        4.7594061866202,
        4.759425833985962,
        4.759445481351723,
        4.759465128717484,
        4.759484776083246,
        4.759504423449006,
        4.759524070814767,
        4.759543718180529,
        4.75956336554629,
        4.759583012912051,
        4.759602660277813,
        4.759622307643573,
        4.759641955009334,
        4.759661602375096,
        4.759681249740857,
        4.759700897106618,
        4.75972054447238,
        4.75974019183814,
        4.759759839203901,
        4.759779486569663,
        4.759799133935424,
        4.759818781301185,
        4.759838428666946,
        4.759858076032707,
        4.759877723398468,
        4.759897370764229,
        4.759917018129991,
        4.759936665495752,
        4.759956312861512,
        4.7599759602272735,
        4.7599956075930345,
        4.7600152549587955,
        4.760034902324557,
        4.760054549690318,
        4.7600741970560785,
        4.76009384442184,
        4.760113491787601,
        4.760133139153362,
        4.760152786519124,
        4.760172433884885,
        4.760192081250645,
        4.760211728616407,
        4.760231375982168,
        4.760251023347929,
        4.760270670713691,
        4.760290318079452,
        4.760309965445212,
        4.760329612810974,
        4.760349260176736,
        4.760368907542497,
        4.760388554908259,
        4.76040820227402,
        4.76042784963978,
        4.760447497005542,
        4.760467144371303,
        4.760486791737064,
        4.760506439102826,
        4.7605260864685865,
        4.760545733834347,
        4.7605653812001085,
        4.7605850285658695,
        4.7606046759316305,
        4.760624323297392,
        4.760643970663153,
        4.7606636180289135,
        4.760683265394675,
        4.760702912760436,
        4.760722560126197,
        4.760742207491959,
        4.76076185485772,
        4.76078150222348,
        4.760801149589242,
        4.760820796955003,
        4.760840444320764,
        4.760860091686526,
        4.760879739052287,
        4.760899386418047,
        4.760919033783809,
        4.76093868114957,
        4.760958328515331,
        4.760977975881093,
        4.760997623246853,
        4.761017270612614,
        4.761036917978376,
        4.761056565344137,
        4.761076212709898,
        4.76109586007566,
        4.76111550744142,
        4.761135154807181,
        4.761154802172943,
        4.761174449538704,
        4.761194096904465,
        4.761213744270226,
        4.761233391635987,
        4.761253039001748,
        4.7612726863675086,
        4.76129233373327,
        4.761311981099031,
        4.761331628464792,
        4.761351275830553,
        4.761370923196314,
        4.761390570562075,
        4.761410217927837,
        4.761429865293598,
        4.761449512659359,
        4.76146916002512,
        4.761488807390881,
        4.761508454756642,
        4.761528102122404,
        4.761547749488165,
        4.761567396853926,
        4.761587044219687,
        4.761606691585448,
        4.761626338951209,
        4.761645986316971,
        4.761665633682732,
        4.761685281048493,
        4.761704928414254,
        4.761724575780015,
        4.761744223145776,
        4.761763870511538,
        4.7617835178773,
        4.761803165243061,
        4.761822812608822,
        4.7618424599745826,
        4.7618621073403435,
        4.761881754706105,
        4.761901402071866,
        4.761921049437627,
        4.761940696803388,
        4.761960344169149,
        4.76197999153491,
        4.761999638900672,
        4.762019286266433,
        4.762038933632194,
        4.762058580997955,
        4.762078228363716,
        4.762097875729477,
        4.762117523095239,
        4.762137170461,
        4.76215681782676,
        4.762176465192522,
        4.762196112558283,
        4.762215759924044,
        4.762235407289806,
        4.762255054655567,
        4.762274702021327,
        4.762294349387089,
        4.76231399675285,
        4.762333644118611,
        4.762353291484373,
        4.762372938850134,
        4.762392586215894,
        4.762412233581656,
        4.762431880947417,
        4.762451528313178,
        4.7624711756789395,
        4.7624908230447005,
        4.762510470410461,
        4.762530117776222,
        4.7625497651419835,
        4.7625694125077445,
        4.7625890598735054,
        4.762608707239267,
        4.762628354605027,
        4.762648001970788,
        4.76266764933655,
        4.762687296702311,
        4.762706944068072,
        4.762726591433834,
        4.762746238799594,
        4.762765886165355,
        4.762785533531117,
        4.762805180896878,
        4.762824828262639,
        4.762844475628401,
        4.762864122994161,
        4.762883770359922,
        4.762903417725684,
        4.762923065091445,
        4.762942712457206,
        4.762962359822968,
        4.762982007188728,
        4.763001654554489,
        4.763021301920251,
        4.763040949286012,
        4.763060596651773,
        4.763080244017535,
        4.763099891383295,
        4.763119538749056,
        4.763139186114818,
        4.763158833480579,
        4.76317848084634,
        4.763198128212102,
        4.763217775577862,
        4.763237422943623,
        4.763257070309385,
        4.763276717675146,
        4.763296365040907,
        4.763316012406669,
        4.763335659772429,
        4.76335530713819,
        4.763374954503952,
        4.763394601869713,
        4.763414249235474,
        4.763433896601235,
        4.763453543966996,
        4.763473191332757,
        4.763492838698519,
        4.76351248606428,
        4.763532133430041,
        4.763551780795802,
        4.763650017624608,
        4.763669664990369,
        4.76368931235613,
        4.763708959721891,
        4.7637286070876526,
        4.7637482544534135,
        4.7637679018191745,
        4.7637875491849355,
        4.7638071965506965,
        4.7638268439164575,
        4.7638464912822185,
        4.76386613864798,
        4.763885786013741,
        4.7639054333795015,
        4.763925080745263,
        4.763944728111024,
        4.763964375476785,
        4.763984022842547,
        4.764003670208308,
        4.764023317574068,
        4.76404296493983,
        4.764062612305591,
        4.764082259671352,
        4.764101907037114,
        4.764121554402875,
        4.764141201768635,
        4.764160849134397,
        4.764180496500158,
        4.764200143865919,
        4.764219791231681,
        4.764239438597442,
        4.764259085963202,
        4.764278733328964,
        4.764298380694725,
        4.764318028060486,
        4.764337675426248,
        4.764357322792009,
        4.764376970157769,
        4.764396617523531,
        4.764416264889292,
        4.764435912255053,
        4.7644555596208145,
        4.7644752069865755,
        4.7644948543523356,
        4.764514501718097,
        4.764534149083858,
        4.764553796449619,
        4.764573443815382,
        4.764593091181142,
        4.764612738546903,
        4.764632385912665,
        4.764652033278426,
        4.764671680644187,
        4.764691328009949,
        4.764710975375709,
        4.76473062274147,
        4.764750270107232,
        4.764769917472993,
        4.764789564838754,
        4.764809212204516,
        4.764828859570276,
        4.764848506936037,
        4.764868154301799,
        4.76488780166756,
        4.764907449033321,
        4.764927096399083,
        4.764946743764843,
        4.765143217422454,
        4.765162864788215,
        4.765182512153976,
        4.765202159519737,
        4.765221806885498,
        4.76524145425126,
        4.765261101617021,
        4.765280748982782,
        4.765300396348543,
        4.765320043714304,
        4.765339691080065,
        4.765359338445827,
        4.765378985811588,
        4.765398633177349,
        4.76541828054311,
        4.765437927908871,
        4.765457575274632,
        4.765477222640394,
        4.765496870006155,
        4.765516517371916,
        4.765536164737677,
        4.765555812103438,
        4.765575459469199,
        4.765595106834961,
        4.765614754200722,
        4.765634401566483,
        4.765654048932244,
        4.765673696298005,
        4.765693343663766,
        4.7657129910295275,
        4.7657326383952885,
        4.765752285761049,
        4.7657719331268105,
        4.7657915804925715,
        4.765811227858332,
        4.765830875224094,
        4.765850522589855,
        4.765870169955615,
        4.765889817321377,
        4.765909464687138,
        4.765929112052899,
        4.765948759418661,
        4.765968406784422,
        4.765988054150182,
        4.766007701515945,
        4.766027348881706,
        4.766046996247467,
        4.766066643613229,
        4.76608629097899,
        4.76610593834475,
        4.766125585710512,
        4.766145233076273,
        4.766164880442034,
        4.766184527807796,
        4.766204175173557,
        4.766223822539317,
        4.766243469905079,
        4.76626311727084,
        4.7663220593681235,
        4.76661676985454,
        4.766636417220301,
        4.766656064586062,
        4.766675711951824,
        4.766695359317584,
        4.766715006683345,
        4.766734654049107,
        4.766754301414868,
        4.766773948780629,
        4.766793596146391,
        4.766813243512151,
        4.766832890877912,
        4.766852538243674,
        4.766872185609435,
        4.766891832975196,
        4.766911480340957,
        4.766931127706718,
        4.766950775072479,
        4.7669704224382405,
        4.7669900698040015,
        4.7670097171697625,
        4.7670293645355235,
        4.7670490119012845,
        4.7670686592670455,
        4.767088306632807,
        4.767107953998568,
        4.767127601364329,
        4.76714724873009,
        4.767166896095851,
        4.767186543461612,
        4.767206190827374,
        4.767225838193135,
        4.767245485558896,
        4.767265132924657,
        4.767284780290418,
        4.767304427656179,
        4.767324075021941,
        4.767343722387702,
        4.767363369753463,
        4.767383017119224,
        4.767402664484986,
        4.767422311850747,
        4.767441959216509,
        4.76746160658227,
        4.767481253948031,
        4.767500901313792,
        4.767520548679553,
        4.767540196045314,
        4.7675598434110755,
        4.7675794907768365,
        4.7675991381425975,
        4.7676187855083585,
        4.7676384328741195,
        4.7676580802398805,
        4.767677727605642,
        4.767697374971403,
        4.767717022337164,
        4.767736669702925,
        4.767756317068686,
        4.767775964434447,
        4.767795611800208,
        4.76781525916597,
        4.767834906531731,
        4.767854553897491,
        4.767874201263253,
        4.767893848629014,
        4.767913495994775,
        4.767933143360537,
        4.767952790726298,
        4.767972438092058,
        4.76799208545782,
        4.768011732823581,
        4.768031380189342
    ],
    "flux": [
        1.12107,
        1.10773,
        1.09479,
        1.08219,
        1.07098,
        1.0691,
        1.06286,
        1.05591,
        1.04748,
        1.04295,
        1.0442,
        1.04266,
        1.03936,
        1.03887,
        1.03854,
        1.03444,
        1.02925,
        1.03134,
        1.03349,
        1.03668,
        1.03939,
        1.03773,
        1.03594,
        1.03523,
        1.03347,
        1.03051,
        1.02952,
        1.0299,
        1.02882,
        1.02807,
        1.03011,
        1.02946,
        1.02503,
        1.02296,
        1.0223,
        1.0239,
        1.02111,
        1.01963,
        1.02065,
        1.01846,
        1.01517,
        1.01312,
        1.01486,
        1.01706,
        1.01498,
        1.01544,
        1.01273,
        1.00699,
        1.0045,
        1.00106,
        0.998021,
        0.990588,
        0.987053,
        0.992735,
        0.989404,
        0.983552,
        0.97623,
        0.980206,
        0.985053,
        0.995667,
        1.00032,
        1.00049,
        1.00312,
        1.00229,
        1.00292,
        1.00357,
        1.00574,
        1.00748,
        1.00495,
        1.00133,
        0.995996,
        1.00031,
        1.00208,
        1.0034,
        1.00461,
        0.999768,
        1.00106,
        1.00545,
        1.00691,
        1.00603,
        1.00581,
        1.00788,
        1.00539,
        1.00599,
        1.00385,
        1.00361,
        1.00244,
        1.00227,
        1.00193,
        1.00365,
        1.00499,
        1.00635,
        1.005,
        1.0066,
        1.00972,
        1.00934,
        1.00616,
        1.00361,
        1.00389,
        1.00879,
        1.01007,
        1.01085,
        1.01049,
        1.01017,
        1.00714,
        1.0092,
        1.00711,
        1.00486,
        1.00493,
        1.00817,
        1.00804,
        1.00834,
        1.00801,
        1.00671,
        1.00546,
        1.00581,
        1.00526,
        1.00264,
        1.00563,
        1.0068,
        1.00519,
        1.00547,
        1.00322,
        1.00323,
        1.00669,
        1.00772,
        1.0077,
        1.00576,
        1.00086,
        0.998342,
        1.00156,
        1.00231,
        1.00213,
        1.00319,
        1.00637,
        1.00526,
        1.00599,
        1.00532,
        1.00594,
        1.00687,
        1.005,
        1.0053,
        1.00312,
        1.00267,
        1.00329,
        1.00393,
        1.00371,
        1.0033,
        1.00535,
        1.00315,
        1.00108,
        1.00709,
        1.00698,
        1.00698,
        1.00526,
        1.004,
        1.00418,
        1.00694,
        1.00597,
        1.00556,
        1.00469,
        1.00745,
        1.0082,
        1.0059,
        1.00117,
        1.00468,
        1.00676,
        1.00778,
        1.00624,
        1.00399,
        1.00765,
        1.00738,
        1.00622,
        1.00401,
        1.00245,
        1.00505,
        1.00563,
        1.00895,
        1.00811,
        1.00624,
        1.0057,
        1.00457,
        1.0027,
        1.00328,
        1.00432,
        1.00454,
        1.00478,
        1.00762,
        1.00885,
        1.00571,
        1.00139,
        1.00217,
        1.00409,
        1.00092,
        1.00329,
        1.00448,
        1.00677,
        1.00716,
        1.00585,
        1.00496,
        1.00656,
        1.0071,
        1.00563,
        1.0076,
        1.01325,
        1.01255,
        1.01256,
        1.01505,
        1.01652,
        1.01818,
        1.01722,
        1.01678,
        1.01504,
        1.01422,
        1.0132,
        1.01371,
        1.01235,
        1.01124,
        1.01139,
        1.01236,
        1.01074,
        1.00874,
        1.00977,
        1.01198,
        1.01138,
        1.00833,
        1.00641,
        1.00556,
        1.0041,
        1.00564,
        1.009,
        1.00772,
        1.00806,
        1.00952,
        1.01075,
        1.00958,
        1.00815,
        1.00957,
        1.01268,
        1.01401,
        1.01434,
        1.01254,
        1.01166,
        1.01189,
        1.01106,
        1.01108,
        1.00994,
        1.00708,
        1.00896,
        1.00671,
        1.0061,
        1.00726,
        1.009,
        1.01085,
        1.00633,
        1.00371,
        1.00405,
        1.00555,
        1.00542,
        1.00426,
        1.00466,
        1.00411,
        1.00503,
        1.0082,
        1.00747,
        1.00443,
        1.00332,
        1.00588,
        1.00679,
        1.00583,
        1.00461,
        1.00938,
        1.00837,
        1.00539,
        1.00273,
        1.00001,
        1.00165,
        1.00532,
        1.00196,
        1.00161,
        1.00236,
        1.00178,
        1.00294,
        1.00588,
        1.00352,
        1.00334,
        1.00398,
        1.00491,
        1.00483,
        1.00496,
        1.00361,
        1.00581,
        1.00776,
        1.00731,
        1.00538,
        1.00786,
        1.00493,
        1.00362,
        1.00581,
        1.00671,
        1.00766,
        1.00892,
        1.00929,
        1.00809,
        1.00833,
        1.00928,
        1.00941,
        1.00972,
        1.00895,
        1.00936,
        1.0071,
        1.00665,
        1.00576,
        1.00234,
        1.00621,
        1.01111,
        1.01286,
        1.00925,
        1.00608,
        1.00877,
        1.01161,
        1.01147,
        1.01006,
        1.00957,
        1.01185,
        1.01068,
        1.00649,
        1.00734,
        1.01024,
        1.01092,
        1.01102,
        1.01159,
        1.00925,
        1.00767,
        1.01056,
        1.00973,
        1.00509,
        1.00612,
        1.00651,
        1.00956,
        1.01176,
        1.01123,
        1.01237,
        1.01306,
        1.01002,
        1.01095,
        1.01483,
        1.01738,
        1.01503,
        1.01791,
        1.0157,
        1.01502,
        1.01617,
        1.01673,
        1.0188,
        1.01917,
        1.01532,
        1.01433,
        1.01715,
        1.01721,
        1.01502,
        1.01655,
        1.01363,
        1.01102,
        1.00855,
        1.0127,
        1.01675,
        1.01402,
        1.01864,
        1.01936,
        1.0157,
        1.01564,
        1.01634,
        1.01828,
        1.02183,
        1.02196,
        1.02148,
        1.02324,
        1.02469,
        1.0257,
        1.02723,
        1.03083,
        1.0341,
        1.03418,
        1.03318,
        1.0339,
        1.028,
        1.02685,
        1.02889,
        1.02831,
        1.02591,
        1.02314,
        1.02399,
        1.02497,
        1.02387,
        1.02239,
        1.0211,
        1.02207,
        1.02039,
        1.01846,
        1.02173,
        1.02327,
        1.02332,
        1.02286,
        1.02619,
        1.02628,
        1.02369,
        1.02167,
        1.02279,
        1.02741,
        1.02721,
        1.02581,
        1.02385,
        1.02672,
        1.02947,
        1.02749,
        1.02373,
        1.0232,
        1.02161,
        1.02433,
        1.02528,
        1.02252,
        1.02438,
        1.02173,
        1.01882,
        1.0193,
        1.02143,
        1.02257,
        1.0191,
        1.01582,
        1.01906,
        1.01959,
        1.02121,
        1.02304,
        1.02197,
        1.0206,
        1.02003,
        1.01962,
        1.01959,
        1.02105,
        1.02329,
        1.02308,
        1.02293,
        1.02509,
        1.02574,
        1.02418,
        1.02374,
        1.02022,
        1.02369,
        1.02461,
        1.02329,
        1.02082,
        1.02087,
        1.02832,
        1.03288,
        1.02988,
        1.02779,
        1.02737,
        1.02716,
        1.02407,
        1.02644,
        1.02745,
        1.02676,
        1.02887,
        1.03061,
        1.02969,
        1.03115,
        1.03131,
        1.03131,
        1.03094,
        1.03193,
        1.03432,
        1.03257,
        1.03137,
        1.03066,
        1.03333,
        1.03568,
        1.0354,
        1.03505,
        1.03182,
        1.03215,
        1.03551,
        1.03619,
        1.03392,
        1.03278,
        1.0345,
        1.03659,
        1.03875,
        1.03978,
        1.04191,
        1.04432,
        1.0409,
        1.04104,
        1.0409,
        1.04134,
        1.0418,
        1.03953,
        1.0409,
        1.04588,
        1.04711,
        1.04546,
        1.04307,
        1.04975,
        1.04881,
        1.04909,
        1.04929,
        1.04991,
        1.05412,
        1.05205,
        1.04832,
        1.05348,
        1.05533,
        1.05578,
        1.05546,
        1.05179,
        1.04758,
        1.05214,
        1.05667,
        1.05913,
        1.06021,
        1.05791,
        1.05753,
        1.0599,
        1.06029,
        1.05892,
        1.05901,
        1.06157,
        1.06127,
        1.06385,
        1.0618,
        1.06128,
        1.06329,
        1.06576,
        1.06808,
        1.06852,
        1.06712,
        1.0663,
        1.06863,
        1.07295,
        1.07217,
        1.07132,
        1.07369,
        1.07506,
        1.07632,
        1.07464,
        1.07725,
        1.08206,
        1.08342,
        1.08275,
        1.07937,
        1.07988,
        1.08402,
        1.0837,
        1.0849,
        1.08617,
        1.09012,
        1.09838,
        1.09908,
        1.10019,
        1.10348,
        1.10361,
        1.1026,
        1.10242,
        1.10609,
        1.11585,
        1.11969,
        1.11845,
        1.11375,
        1.11013,
        1.10929,
        1.11048,
        1.11194,
        1.11422,
        1.11288,
        1.10716,
        1.10823,
        1.1141,
        1.11313,
        1.1147,
        1.11732,
        1.11691,
        1.11433,
        1.11458,
        1.11649,
        1.11771,
        1.12035,
        1.12216,
        1.1223,
        1.12177,
        1.12324,
        1.12547,
        1.12744,
        1.12829,
        1.13183,
        1.13389,
        1.13482,
        1.13702,
        1.13644,
        1.13314,
        1.1319,
        1.13655,
        1.13915,
        1.13716,
        1.13663,
        1.13592,
        1.13651,
        1.13042,
        1.10184,
        1.13976,
        1.13861,
        1.13752,
        1.14225,
        1.1464,
        1.14294,
        1.14205,
        1.14425,
        1.1442,
        1.14413,
        1.14749,
        1.14662,
        1.1471,
        1.14854,
        1.15156,
        1.15244,
        1.15045,
        1.14897,
        1.14975,
        1.15169,
        1.15323,
        1.15494,
        1.15542,
        1.1527,
        1.15475,
        1.15768,
        1.15974,
        1.15875,
        1.15641,
        1.15456,
        1.15708,
        1.15753,
        1.15701,
        1.15872,
        1.16126,
        1.15981,
        1.15876,
        1.15708,
        1.15366,
        1.15254,
        1.15429,
        1.1515,
        1.15194,
        1.15451,
        1.15613,
        1.15742,
        1.15377,
        1.15562,
        1.1577,
        1.15636,
        1.15613,
        1.15687,
        1.15826,
        1.15838,
        1.1491,
        1.14546,
        1.14727,
        1.14727,
        1.14672,
        1.15038,
        1.15147,
        1.14883,
        1.14799,
        1.14636,
        1.14522,
        1.14696,
        1.14796,
        1.14245,
        1.13979,
        1.14087,
        1.14393,
        1.14762,
        1.14351,
        1.13672,
        1.13658,
        1.13706,
        1.13623,
        1.13382,
        1.1347,
        1.13744,
        1.13748,
        1.13387,
        1.13052,
        1.13202,
        1.13309,
        1.13393,
        1.12751,
        1.12599,
        1.1296,
        1.1306,
        1.12703,
        1.12713,
        1.13144,
        1.13081,
        1.13518,
        1.14612,
        1.14757,
        1.15587,
        1.1645,
        1.17341,
        1.17981,
        1.18275,
        1.19525,
        1.19179,
        1.18385,
        1.1935,
        1.21326,
        1.20456,
        1.20812,
        1.18698,
        1.16312,
        1.17929,
        1.16839,
        1.1588,
        1.14838,
        1.14141,
        1.12829,
        1.08873,
        0.955659,
        0.68062,
        0.359857,
        0.268436,
        0.510261,
        0.841851,
        1.04155,
        1.11766,
        1.13195,
        1.13577,
        1.14095,
        1.14934,
        1.15198,
        1.15136,
        1.1515,
        1.1586,
        1.16392,
        1.16283,
        1.16209,
        1.16361,
        1.16333,
        1.15704,
        1.14785,
        1.14106,
        1.1335,
        1.12319,
        1.11666,
        1.11186,
        1.10138,
        1.094,
        1.08606,
        1.08165,
        1.08063,
        1.07779,
        1.07588,
        1.07647,
        1.07679,
        1.07907,
        1.08156,
        1.07883,
        1.07468,
        1.07267,
        1.07503,
        1.0781,
        1.0783,
        1.07478,
        1.07514,
        1.07608,
        1.07014,
        1.06648,
        1.06447,
        1.06434,
        1.06272,
        1.05808,
        1.0607,
        1.05874,
        1.05792,
        1.05877,
        1.05808,
        1.05654,
        1.05748,
        1.05614,
        1.05426,
        1.05284,
        1.04924,
        1.04573,
        1.04808,
        1.05075,
        1.05109,
        1.05119,
        1.05123,
        1.05254,
        1.0499,
        1.05011,
        1.05239,
        1.04771,
        1.04601,
        1.04892,
        1.04943,
        1.04521,
        1.04041,
        1.04395,
        1.04422,
        1.0396,
        1.03851,
        1.03767,
        1.03377,
        1.03378,
        1.03583,
        1.03603,
        1.03334,
        1.03084,
        1.03327,
        1.03165,
        1.02863,
        1.02875,
        1.03089,
        1.0285,
        1.02786,
        1.03112,
        1.02952,
        1.03023,
        1.03147,
        1.0274,
        1.02734,
        1.02597,
        1.02517,
        1.02598,
        1.02782,
        1.0275,
        1.02477,
        1.02413,
        1.02396,
        1.0246,
        1.02693,
        1.02848,
        1.02562,
        1.02395,
        1.02318,
        1.02431,
        1.02428,
        1.02293,
        1.01865,
        1.02023,
        1.0215,
        1.0209,
        1.01721,
        1.01491,
        1.01778,
        1.01439,
        1.01421,
        1.01459,
        1.01869,
        1.01959,
        1.01822,
        1.01702,
        1.01515,
        1.01486,
        1.01776,
        1.02073,
        1.02109,
        1.01881,
        1.01951,
        1.02072,
        1.0237,
        1.02367,
        1.02106,
        1.01883,
        1.01967,
        1.01981,
        1.01869,
        1.01856,
        1.01662,
        1.01555,
        1.0194,
        1.01932,
        1.01706,
        1.01589,
        1.014,
        1.01326,
        1.01505,
        1.01874,
        1.0212,
        1.01744,
        1.01326,
        1.0133,
        1.01507,
        1.01909,
        1.01733,
        1.0184,
        1.01738,
        1.01569,
        1.01495,
        1.01689,
        1.01458,
        1.01299,
        1.01487,
        1.01436,
        1.0134,
        1.01261,
        1.01299,
        1.01548,
        1.01653,
        1.01719,
        1.01787,
        1.01809,
        1.0167,
        1.0205,
        1.02164,
        1.02143,
        1.02062,
        1.02315,
        1.02687,
        1.02437,
        1.02339,
        1.02287,
        1.02244,
        1.01929,
        1.01758,
        1.0186,
        1.01622,
        1.01419,
        1.01361,
        1.01568,
        1.01629,
        1.01368,
        1.01224,
        1.01104,
        1.00987,
        1.00957,
        1.00905,
        1.00928,
        1.00866,
        1.01311,
        1.01591,
        1.01694,
        1.01601,
        1.01602,
        1.0159,
        1.01242,
        1.01238,
        1.01304,
        1.01248,
        1.01209,
        1.01316,
        1.0145,
        1.01274,
        1.01023,
        1.00892,
        1.00938,
        1.00787,
        1.00294,
        1.00151,
        0.99856,
        0.998703,
        0.997331,
        0.994733,
        0.9941,
        0.989929,
        0.988229,
        0.992481,
        0.996971,
        0.999278,
        0.998808,
        1.00253,
        1.00287,
        1.00182,
        1.00185,
        1.0026,
        1.00164,
        1.00378,
        1.00763,
        1.0061,
        1.006,
        1.00563,
        1.00658,
        1.00667,
        1.00426,
        1.0021,
        1.00029,
        1.00389,
        1.00563,
        1.00396,
        1.00475,
        1.00344,
        1.00386,
        1.00311,
        1.00477,
        1.00695,
        1.00626,
        1.0035,
        1.00412,
        1.00406,
        1.00423,
        1.00492,
        1.00195,
        1.00049,
        1.00336,
        1.00249,
        1.0026,
        1.00142,
        1.00029,
        1.00562,
        1.0086,
        1.00864,
        1.0056,
        1.00314,
        1.00177,
        1.00234,
        1.00488,
        1.00577,
        1.00623,
        1.00537,
        1.00369,
        1.00387,
        1.00359,
        0.998937,
        0.998817,
        0.998654,
        0.999135,
        0.999286,
        0.999415,
        0.999454,
        0.999062,
        0.998043,
        0.999396,
        0.999101,
        0.999158,
        1.00101,
        1.00276,
        1.00226,
        1.00287,
        1.00179,
        0.997094,
        0.996219,
        0.99542,
        0.996929,
        0.997522,
        1.00064,
        1.00158,
        1.00072,
        0.998534,
        0.999549,
        0.999112,
        1.00064,
        0.99969,
        0.998186,
        0.998932,
        1.00452,
        1.0047,
        0.99992,
        0.998411,
        0.998915,
        0.997231,
        1.00365,
        0.999767,
        0.998821,
        0.999663,
        1.00088,
        1.00013,
        0.997947,
        0.999573,
        0.999094,
        0.99593,
        0.994347,
        0.996594,
        0.997729,
        0.992387,
        0.992311,
        0.985874,
        0.982743,
        0.977188,
        0.967927,
        0.945318,
        0.941841,
        0.979925,
        0.985984,
        0.977373,
        0.979584,
        0.978837,
        0.981413,
        0.979233,
        0.985586,
        0.989778,
        0.993861,
        0.997567,
        0.996072,
        0.994139,
        0.992346,
        0.99494,
        0.996745,
        0.997447,
        0.997298,
        0.998456,
        0.995648,
        0.997737,
        1.00086,
        1.00029,
        0.996802,
        0.99293,
        0.993498,
        0.995139,
        0.996627,
        0.999764,
        1.00069,
        0.998689,
        0.996485,
        0.992612,
        0.993847,
        0.994289,
        0.993004,
        0.992662,
        0.995959,
        0.996107,
        0.99481,
        0.992133,
        0.995075,
        0.998846,
        0.997795,
        0.996301,
        0.998056,
        1.00402,
        1.00912,
        1.01214,
        1.01594,
        1.01574,
        1.02294,
        1.03378,
        1.04659,
        1.05549,
        1.06229,
        1.06986,
        1.08133,
        1.08689,
        1.09763,
        1.09244,
        1.15835,
        1.03538,
        1.03671,
        1.05825,
        1.05228,
        1.04704,
        1.04965,
        1.03298,
        0.956041,
        0.766669,
        0.52422,
        0.360324,
        0.378338,
        0.630372,
        0.891632,
        1.00393,
        1.04204,
        1.05604,
        1.06245,
        1.06243,
        1.06534,
        1.06669,
        1.0731,
        1.07584,
        1.07607,
        1.08014,
        1.08132,
        1.08466,
        1.08378,
        1.0773,
        1.06952,
        1.06204,
        1.05677,
        1.05316,
        1.04724,
        1.03781,
        1.02746,
        1.01977,
        1.01607,
        1.01466,
        1.00761,
        1.00715,
        1.00641,
        1.00342,
        1.00232,
        1.00414,
        1.00894,
        1.00501,
        1.00114,
        0.999904,
        1.00024,
        0.995178,
        0.98873,
        0.985535,
        0.98384,
        0.979621,
        null,
        1.01106,
        1.01141,
        1.01152,
        1.01144,
        1.01233,
        1.01409,
        1.01115,
        1.0101,
        1.01614,
        1.0272,
        1.03333,
        1.03668,
        1.01671,
        0.991634,
        1.00568,
        1.01342,
        1.01469,
        1.01464,
        1.01647,
        1.0201,
        1.02263,
        1.03022,
        1.03588,
        1.0369,
        1.04116,
        1.05322,
        1.06153,
        1.06858,
        1.07057,
        1.07617,
        1.08112,
        1.08253,
        1.06793,
        1.07951,
        1.11863,
        1.10178,
        1.05622,
        1.05175,
        1.04668,
        1.04901,
        1.05506,
        1.04811,
        1.01813,
        0.951608,
        0.82917,
        0.679944,
        0.625961,
        0.771483,
        0.935126,
        1.02292,
        1.05534,
        1.07346,
        1.0784,
        1.08164,
        1.0844,
        1.08677,
        1.08959,
        1.09025,
        1.09437,
        1.09719,
        1.0944,
        1.09669,
        1.09842,
        1.09437,
        1.08715,
        1.07918,
        1.07322,
        1.06891,
        1.06454,
        1.05549,
        1.04437,
        1.03653,
        1.03083,
        1.02841,
        1.02411,
        1.01902,
        1.01799,
        1.0187,
        1.0182,
        1.01966,
        1.02251,
        1.01926,
        1.0204,
        1.01844,
        1.01831,
        1.01751,
        1.01667,
        1.01578,
        1.01592,
        1.01711,
        1.01556,
        1.01441,
        1.0131,
        1.01742,
        1.02356,
        1.02385,
        1.02388,
        1.0231,
        1.02637,
        1.02936,
        1.02772,
        1.02684,
        1.02939,
        1.02917,
        1.02386,
        1.02328,
        1.02192,
        1.01882,
        1.01567,
        1.01586,
        1.01614,
        1.01109,
        1.01462,
        1.01731,
        1.01219,
        0.999433,
        1.00225,
        1.00665,
        1.01137,
        1.01285,
        1.01731,
        1.02086,
        1.02145,
        1.0186,
        1.01638,
        1.0161,
        1.01806,
        1.01781,
        1.01946,
        1.02059,
        1.01982,
        1.02019,
        1.01933,
        1.02283,
        1.02336,
        1.02143,
        1.02041,
        1.01848,
        1.01634,
        1.01516,
        1.01584,
        1.01331,
        1.01417,
        1.01279,
        1.01025,
        1.01313,
        1.01691,
        1.0135,
        1.01226,
        1.0113,
        1.00913,
        1.00905,
        1.01239,
        1.01257,
        1.0103,
        1.01172,
        1.01105,
        1.01294,
        1.01333,
        1.01256,
        1.01084,
        1.01313,
        1.01214,
        1.01145,
        1.00951,
        1.01047,
        1.01349,
        1.01356,
        1.01194,
        1.01041,
        1.01066,
        1.01304,
        1.01186,
        1.00934,
        1.01143,
        1.01242,
        1.01302,
        1.0101,
        1.02464,
        1.07087,
        1.06656,
        1.00982,
        0.985504,
        1.00797,
        1.01569,
        1.01702,
        1.01615,
        1.01295,
        1.00829,
        1.00801,
        1.01215,
        1.01534,
        1.01818,
        1.01825,
        1.0128,
        1.00799,
        1.00854,
        1.00809,
        1.00933,
        0.996866,
        1.0078,
        1.00623,
        1.0102,
        1.00906,
        1.00736,
        1.00703,
        1.0086,
        1.01017,
        1.01159,
        1.01261,
        1.0116,
        1.00972,
        1.00959,
        1.01004,
        1.01128,
        1.01016,
        1.00895,
        1.01023,
        1.01276,
        1.01159,
        1.00546,
        1.01089,
        1.01034,
        1.006,
        1.00674,
        1.0106,
        1.01013,
        1.00587,
        1.00689,
        1.00571,
        1.00389,
        1.00529,
        1.00626,
        1.00655,
        1.00719,
        1.0036,
        1.00125,
        1.00516,
        1.00299,
        1.00097,
        1.00121,
        1.0044,
        0.996632,
        0.982599,
        0.981559,
        0.980287,
        0.987854,
        0.996536,
        0.997055,
        0.987523,
        0.98153,
        1.00093,
        1.00011,
        0.985123,
        0.981965,
        0.990114,
        0.99734,
        1.00257,
        0.99566,
        0.991518,
        0.995667,
        0.998989,
        1.00212,
        1.00404,
        1.01183,
        0.994287,
        0.994517,
        0.999242,
        0.998974,
        0.997871,
        0.993532,
        0.997492,
        1.00135,
        1.00365,
        1.00692,
        1.00499,
        1.00694,
        1.00765,
        1.00908,
        1.00182,
        0.969471,
        0.98007,
        0.992141,
        0.996016,
        0.996981,
        1.00046,
        1.00565,
        0.992218,
        1.0044,
        1.01401,
        1.00695,
        1.00394,
        1.00677,
        1.00375,
        1.00831,
        1.01015,
        1.01063,
        1.00743,
        1.00541,
        1.00512,
        1.00428,
        1.00322,
        1.00586,
        1.00486,
        1.0039,
        1.00874,
        1.00675,
        0.999801,
        0.997,
        1.00203,
        0.99795,
        0.996293,
        0.999564,
        1.00303,
        1.00649,
        1.00061,
        0.995728,
        0.997708,
        0.999173,
        1.00246,
        1.00245,
        1.00418,
        1.00692,
        1.00617,
        1.00778,
        1.01038,
        1.00717,
        1.00345,
        1.00387,
        1.00386,
        1.00273,
        1.00066,
        1.00568,
        1.00371,
        1.00101,
        1.00285,
        1.00485,
        1.00687,
        1.01023,
        1.006,
        1.00129,
        0.999072,
        1.00148,
        1.00439,
        1.00496,
        1.00443,
        1.00845,
        1.00409,
        1.00104,
        1.00189,
        1.00227,
        1.00364,
        1.00818,
        1.00838,
        1.00347,
        1.00331,
        0.998464,
        1.00441,
        1.01024,
        1.00934,
        1.00457,
        1.00471,
        1.00972,
        1.00737,
        1.0105,
        1.00977,
        1.00759,
        1.00689,
        1.00948,
        1.00735,
        1.00563,
        1.00719,
        1.00546,
        1.00683,
        1.00947,
        1.00756,
        1.00164,
        1.00016,
        1.00635,
        1.008,
        1.00126,
        1.00689,
        1.01219,
        1.00198,
        1.00202,
        1.00336,
        1.00114,
        1.00063,
        1.00572,
        1.00914,
        1.00632,
        1.00284,
        1.00209,
        1.00582,
        1.00962,
        1.00785,
        1.00811,
        1.00736,
        1.00781,
        1.0115,
        1.01558,
        1.01031,
        1.01281,
        1.00864,
        1.00381,
        1.00404,
        1.00677,
        1.00839,
        1.01322,
        1.01228,
        1.01052,
        1.00954,
        1.00757,
        1.00932,
        1.00944,
        1.00506,
        1.00827,
        1.01246,
        1.00828,
        1.01132,
        1.01327,
        1.00807,
        1.01107,
        1.01652,
        1.0165,
        1.01706,
        1.01763,
        1.01673,
        1.01925,
        1.02162,
        1.01697,
        1.01472,
        1.01613,
        1.01918,
        1.02512,
        1.02389,
        1.01544,
        1.01249,
        1.01096,
        1.01358,
        1.0094,
        1.0059,
        1.00873,
        1.01092,
        1.00855,
        1.00707,
        1.00887,
        1.0087,
        1.01078,
        1.01034,
        1.0092,
        1.012,
        1.0177,
        1.01686,
        1.02002,
        1.0142,
        1.01133,
        1.01545,
        1.02692,
        1.04314,
        1.04382,
        1.04817,
        1.05697,
        1.05254,
        1.05236,
        1.05073,
        1.06118,
        1.08524,
        1.06143,
        1.12945,
        1.03621,
        1.02706,
        1.03522,
        1.04463,
        1.04675,
        1.04753,
        1.04391,
        1.01204,
        0.945686,
        0.883794,
        0.907945,
        1.00859,
        1.04326,
        1.05137,
        1.0571,
        1.05905,
        1.06453,
        1.06833,
        1.06851,
        1.06724,
        1.07422,
        1.07776,
        1.07557,
        1.0807,
        1.08352,
        1.08166,
        1.07902,
        1.07643,
        1.06795,
        1.06404,
        1.06606,
        1.05209,
        1.04435,
        1.03638,
        1.03012,
        1.02889,
        1.02659,
        1.02264,
        1.01641,
        1.01478,
        1.01471,
        1.0132,
        1.01102,
        1.01058,
        1.01083,
        1.01206,
        1.0122,
        1.00807,
        1.00903,
        1.00993,
        1.01038,
        1.00932,
        1.00643,
        1.00543,
        1.00564,
        1.00641,
        1.00389,
        1.00799,
        1.00386,
        1.00621,
        1.0075,
        1.00759,
        1.01201,
        1.00787,
        1.00638,
        1.00836,
        1.0089,
        1.00527,
        1.00499,
        1.00527,
        1.00599,
        1.01209,
        1.01193,
        1.0197,
        1.01124,
        1.00081,
        0.993176,
        1.00235,
        1.00342,
        1.00068,
        1.00519,
        1.00862,
        1.00249,
        1.00646,
        1.0096,
        1.00768,
        1.00711,
        1.00851,
        1.00615,
        1.00552,
        1.007,
        1.01028,
        1.01032,
        1.00899,
        1.00739,
        1.00466,
        1.008,
        1.01203,
        1.01314,
        1.01236,
        1.01204,
        0.99989,
        0.997012,
        1.01154,
        1.01219,
        1.00793,
        1.00512,
        1.0047,
        1.0049,
        1.00566,
        1.00703,
        1.00472,
        1.00466,
        1.00319,
        1.00022,
        1.00343,
        1.00431,
        0.997688,
        1.01363,
        1.0161,
        1.00484,
        1.00901,
        1.00938,
        1.00649,
        1.00552,
        1.00984,
        1.01211,
        1.01109,
        1.00935,
        1.00787,
        1.01552,
        1.03322,
        1.03398,
        1.01772,
        1.00923,
        1.00728,
        1.00778,
        1.00773,
        1.00852,
        1.01031,
        1.0093,
        1.00878,
        1.01146,
        1.01029,
        1.01041,
        1.01211,
        1.00739,
        1.00607,
        1.00828,
        1.00728,
        1.00592,
        1.00839,
        1.02036,
        1.0134,
        1.00632,
        1.00674,
        1.00615,
        1.0097,
        1.01316,
        1.01295,
        1.01825,
        1.01076,
        1.00615,
        1.00826,
        1.00977,
        1.00635,
        1.00167,
        1.00363,
        1.00596,
        1.00917,
        1.01072,
        1.00347,
        0.998859,
        1.00087,
        1.00235,
        0.999705,
        1.00532,
        1.00729,
        1.00747,
        1.00923,
        1.01018,
        1.00761,
        1.00996,
        1.00518,
        1.00347,
        1.00123,
        1.00874,
        1.01313,
        1.00565,
        1.01443,
        1.01239,
        1.00557,
        1.00646,
        1.00846,
        1.01069,
        1.01021,
        1.00789,
        1.0043,
        1.0063,
        1.00769,
        1.00602,
        1.00697,
        1.00804,
        1.00784,
        1.00836,
        1.01126,
        1.00866,
        1.00501,
        1.00573,
        1.00935,
        1.0095,
        1.01024,
        1.01166,
        1.00773,
        1.00799,
        1.0066,
        1.00443,
        1.0064,
        1.00739,
        1.00697,
        1.00557,
        1.00925,
        1.00743,
        1.0041,
        1.01157,
        1.00573,
        1.00034,
        1.00145,
        0.993453,
        0.975027,
        1.00063,
        0.995913,
        1.00031,
        1.00506,
        1.00459,
        1.00461,
        1.00481,
        0.995074,
        0.997126,
        1.00418,
        1.00864,
        1.02294,
        1.01548,
        0.999403,
        1.00057,
        0.996849,
        1.00038,
        1.00427,
        1.00715,
        1.00775,
        1.00828,
        1.00955,
        1.00974,
        1.00567,
        1.00497,
        1.00719,
        1.00888,
        1.01075,
        1.00778,
        1.00564,
        1.00266,
        0.98812,
        0.991918,
        1.00208,
        1.00877,
        1.01625,
        1.01,
        1.00198,
        1.00045,
        0.999601,
        0.995716,
        0.998144,
        1.00419,
        1.01126,
        1.00226,
        0.995877,
        0.999312,
        0.99456,
        0.987598,
        0.991948,
        0.998226,
        1.0046,
        1.00006,
        0.993234,
        1.00254,
        1.09336,
        1.09116,
        1.03048,
        1.00341,
        1.00087,
        1.00052,
        0.998217,
        0.994895,
        0.996315,
        1.00077,
        0.994609,
        0.989078,
        0.9873,
        0.983592,
        0.979901,
        0.983799,
        0.991154,
        0.984625,
        0.988262,
        0.983529,
        0.979017,
        0.982638,
        0.990153,
        0.994772,
        0.996265,
        0.993231,
        1.00345,
        1.0104,
        1.00459,
        1.00037,
        0.998516,
        0.995437,
        0.999261,
        1.0013,
        0.997969,
        1.00342,
        1.00584,
        1.00278,
        1.00433,
        1.00542,
        1.00237,
        1.00257,
        1.00405,
        1.00426,
        1.00325,
        0.999819,
        0.995806,
        0.99584,
        0.998025,
        1.00314,
        1.01014,
        1.00517,
        1.00006,
        0.999903,
        1.00158,
        0.997529,
        1.0005,
        1.00696,
        1.00393,
        1.00218,
        1.00489,
        1.00555,
        1.00682,
        1.00659,
        1.00329,
        1.00259,
        1.00273,
        1.00847,
        1.00839,
        1.00608,
        1.01054,
        1.0108,
        1.00593,
        1.00913,
        1.01602,
        1.01545,
        1.01646,
        1.02078,
        1.02358,
        1.02212,
        1.01961,
        1.02098,
        1.01638,
        1.01506,
        1.01001,
        1.00177,
        1.01137,
        1.00911,
        1.00465,
        1.00348,
        1.00631,
        0.994672,
        0.99018,
        1.01242,
        1.01178,
        0.996624,
        0.995382,
        1.00548,
        0.996769,
        0.997182,
        1.02573,
        1.01151,
        1.01126,
        1.00951,
        1.0046,
        1.00616,
        1.01384,
        1.019,
        1.0068,
        1.01346,
        1.01536,
        1.01513,
        1.01165,
        1.01577,
        1.02509,
        1.02472,
        1.0167,
        1.01949,
        1.01118,
        1.01604,
        1.01882,
        1.01481,
        1.00916,
        1.00636,
        1.00405,
        1.00673,
        1.00516,
        1.00219,
        1.00058,
        1.00325,
        1.00701,
        1.00627,
        1.00682,
        1.01209,
        1.00722,
        1.00882,
        1.00821,
        1.00849,
        1.01615,
        1.02057,
        1.03086,
        1.0388,
        1.04036,
        1.04372,
        1.04743,
        1.04548,
        1.04886,
        1.06712,
        1.05711,
        1.02986,
        1.07005,
        1.07333,
        1.06276,
        1.05421,
        1.04769,
        1.04823,
        1.04802,
        1.03619,
        1.02638,
        1.03905,
        1.04278,
        1.05622,
        1.06861,
        1.06574,
        1.06493,
        1.06817,
        1.0688,
        1.06752,
        1.07602,
        1.08065,
        1.09217,
        1.09405,
        1.08651,
        1.08405,
        1.08445,
        1.08376,
        1.08164,
        1.0711,
        1.06297,
        1.06359,
        1.05895,
        1.0486,
        1.03743,
        1.02976,
        1.02209,
        1.02313,
        1.02199,
        1.0111,
        1.02453,
        1.01846,
        1.01174,
        1.0148,
        1.01302,
        1.00623,
        1.00774,
        1.00635,
        1.00666,
        1.00568,
        1.00583,
        1.00834,
        1.00863,
        1.00301,
        1.0024,
        1.00278,
        1.00763,
        1.00703,
        1.00569,
        1.00539,
        1.00256,
        1.00118,
        0.997787,
        0.999256,
        1.00445,
        0.997168,
        1.00513,
        1.00441,
        1.00216,
        1.002,
        1.00302,
        1.00221,
        1.00092,
        1.00382,
        1.00097,
        1.00208,
        1.01034,
        1.00801,
        1.00124,
        1.00388,
        1.00596,
        1.00885,
        1.01172,
        1.00903,
        1.00609,
        1.00811,
        1.00556,
        1.00634,
        1.0114,
        1.00861,
        1.00525,
        1.00301,
        1.00487,
        1.00583,
        0.997788,
        1.00247,
        1.00334,
        0.994838,
        1.006,
        1.00915,
        1.00636,
        1.00818,
        1.01155,
        1.00669,
        1.01578,
        1.01476,
        1.00938,
        1.00347,
        1.00376,
        1.00639,
        1.01093,
        1.00945,
        1.00442,
        1.00384,
        1.00239,
        1.0027,
        1.00843,
        1.0103,
        1.00398,
        1.00237,
        1.01054,
        1.00234,
        0.999264,
        1.0053,
        0.999174,
        0.997814,
        1.00221,
        1.00985,
        1.0067,
        null,
        1.00733,
        1.00706,
        1.00252,
        1.00399,
        1.00279,
        1.00664,
        1.00751,
        1.0092,
        1.00647,
        1.00636,
        1.00419,
        1.0042,
        1.01294,
        1.01572,
        1.01452,
        1.0166,
        1.00124,
        0.980887,
        0.995149,
        1.00725,
        1.00986,
        1.0136,
        1.0115,
        1.00704,
        1.00688,
        1.00834,
        1.00934,
        1.01217,
        1.00538,
        1.01041,
        1.00507,
        1.00154,
        1.00381,
        1.00301,
        0.997146,
        0.999687,
        1.00558,
        1.00215,
        1.01958,
        1.00605,
        0.994319,
        0.994969,
        0.994066,
        0.991283,
        0.990367,
        1.01011,
        1.02851,
        1.01229,
        1.00683,
        0.999147,
        0.996381,
        0.998186,
        1.0032,
        1.00671,
        1.00233,
        0.999713,
        0.998221,
        1.00123,
        1.00313,
        1.00038,
        1.0031,
        1.01853,
        0.999269,
        0.99956,
        1.00376,
        0.996289,
        1.00186,
        1.00293,
        1.00233,
        1.0029,
        1.00332,
        0.999629,
        1.00107,
        1.00238,
        1.00037,
        0.999355,
        0.992535,
        0.990155,
        0.996901,
        0.994345,
        1.00128,
        null,
        0.993375,
        0.992238,
        0.991265,
        0.990111,
        0.991434,
        0.989371,
        0.987995,
        0.985991,
        0.989182,
        0.990998,
        0.99468,
        0.994004,
        0.994684,
        0.98375,
        0.988238,
        0.988989,
        0.989645,
        0.992535,
        0.988043,
        0.985424,
        0.991797,
        0.987363,
        0.983995,
        0.98694,
        0.990197,
        0.99097,
        0.988637,
        0.988217,
        0.990487,
        0.989087,
        0.987778,
        0.990458,
        0.992879,
        0.993752,
        0.988995,
        0.988259,
        0.988491,
        0.987309,
        0.98924,
        0.990568,
        0.987648,
        0.985795,
        0.984837,
        0.980577,
        0.983853,
        0.987302,
        0.984632,
        0.99195,
        0.993972,
        0.987443,
        0.98808,
        0.992275,
        0.985987,
        0.989382,
        0.986334,
        0.984262,
        0.985586,
        0.987146,
        0.987187,
        0.987604,
        0.997166,
        0.989952,
        0.985922,
        0.982143,
        0.982568,
        0.982246,
        0.983954,
        0.988492,
        0.996479,
        1.00328,
        0.982773,
        0.989928,
        0.9926,
        0.988447,
        0.986277,
        0.984135,
        0.985274,
        0.988326,
        0.989794,
        0.985323,
        0.986135,
        0.989373,
        0.981211,
        0.975329,
        0.982643,
        0.972023,
        0.98391,
        0.990788,
        0.975895,
        0.968459,
        0.994335,
        0.989761,
        0.979667,
        0.991061,
        0.983552,
        0.985255,
        0.985692,
        0.988585,
        0.987417,
        0.980201,
        0.980511,
        0.984184,
        0.986005,
        1.00159,
        0.999877,
        0.989415,
        0.986586,
        0.990007,
        0.987503,
        0.985613,
        0.987719,
        0.988922,
        0.988877,
        0.991167,
        0.993425,
        0.992729,
        0.990277,
        0.988508,
        0.989497,
        0.98957,
        0.988072,
        0.982549,
        0.981433,
        0.980387,
        0.977288,
        0.993104,
        0.992806,
        0.984347,
        0.982244,
        0.984847,
        0.985783,
        0.984396,
        0.984869,
        0.972524,
        1.00962,
        1.00147,
        0.988825,
        0.99293,
        0.994972,
        0.985273,
        0.986197,
        0.992314,
        0.99323,
        0.993308,
        0.996813,
        1.00216,
        1.00446,
        1.00588,
        1.00792,
        0.997867,
        0.997418,
        0.998617,
        0.997755,
        0.998783,
        0.993191,
        0.994661,
        0.995749,
        0.995234,
        0.992964,
        0.993501,
        0.998718,
        1.00145,
        0.998628,
        0.988506,
        0.989432,
        0.993436,
        0.994179,
        1.00312,
        1.01057,
        1.00316,
        0.99221,
        0.996732,
        0.994308,
        0.997445,
        0.997863,
        1.00079,
        1.0014,
        1.00247,
        1.00154,
        0.999819,
        0.999637,
        0.998406,
        1.00119,
        0.999461,
        1.00214,
        1.00149,
        0.997741,
        0.992748,
        0.991733,
        0.989083,
        0.991074,
        0.994256,
        0.993116,
        0.995258,
        0.987558,
        0.987386,
        0.986743,
        0.986265,
        0.998874,
        1.00139,
        0.989307,
        0.990252,
        0.992399,
        0.992429,
        0.992777,
        0.992609,
        0.997708,
        0.995539,
        0.993265,
        0.994698,
        0.997532,
        1.00215,
        0.996693,
        0.993214,
        0.99465,
        0.991845,
        0.990175,
        0.991572,
        0.989448,
        0.998152,
        1.01565,
        1.0028,
        0.992632,
        0.986433,
        0.988847,
        0.990321,
        0.989453,
        0.987463,
        0.98547,
        0.989777,
        0.990406,
        0.998282,
        1.00524,
        0.995444,
        0.986111,
        0.987673,
        0.991869,
        0.991138,
        0.990271,
        0.989055,
        0.975857,
        0.973541,
        1.00418,
        1.00679,
        0.997751,
        0.997576,
        0.985415,
        0.987939,
        0.990278,
        0.988941,
        0.992916,
        0.989413,
        0.984433,
        0.983325,
        0.98585,
        0.987513,
        0.991997,
        0.997644,
        0.990727,
        0.989923,
        0.992588,
        0.989331,
        0.982757,
        0.987884,
        0.993204,
        0.996955,
        0.995339,
        0.99413,
        0.987634,
        0.984535,
        0.986178,
        0.989439,
        0.986122,
        0.983346,
        0.984834,
        0.983534,
        0.980262,
        0.989563,
        0.988619,
        0.980786,
        0.987475,
        0.976772,
        0.974494,
        0.976902,
        0.988369,
        0.991197,
        0.987817,
        0.990787,
        0.982505,
        0.981452,
        0.988882,
        0.991593,
        0.992225,
        0.989883,
        0.986622,
        0.987695,
        0.989938,
        0.994001,
        1.00388,
        1.00433,
        0.99016,
        0.992052,
        0.992779,
        0.991556,
        0.990429,
        0.989712,
        0.990651,
        0.993376,
        0.992631,
        0.993741,
        0.994469,
        0.991143,
        0.987951,
        0.988249,
        0.992406,
        0.994661,
        0.991975,
        0.99351,
        0.99566,
        1.00073,
        0.996848,
        0.99672,
        0.996711,
        0.993023,
        1.00569,
        0.999718,
        0.997753,
        1.00053,
        0.998572,
        0.992908,
        0.996988,
        0.991722,
        0.997082,
        1.00014,
        1.00124,
        1.00404,
        1.00979,
        1.01196,
        1.01467,
        1.0167,
        1.02018,
        1.02837,
        1.03749,
        1.04151,
        1.04056,
        1.04342,
        1.0436,
        1.02937,
        1.02404,
        1.07315,
        1.02855,
        1.01507,
        1.02667,
        1.02904,
        1.04338,
        1.05087,
        1.0346,
        1.02963,
        1.04253,
        1.03992,
        1.04038,
        1.04058,
        1.04852,
        1.05,
        1.04883,
        1.05123,
        1.05498,
        1.05863,
        1.05696,
        1.06046,
        1.06855,
        1.07519,
        1.06932,
        1.07503,
        1.07415,
        1.06254,
        1.0622,
        1.06126,
        1.04703,
        1.03905,
        1.03259,
        1.02548,
        1.02095,
        1.01067,
        1.00375,
        0.998148,
        0.997717,
        0.992653,
        0.992176,
        0.991745,
        0.983473,
        0.986867,
        0.990568,
        0.98665,
        0.984154,
        0.985102,
        0.980504,
        0.974096,
        0.975766,
        0.975119,
        0.972412,
        0.978101,
        0.970691,
        0.968664,
        0.968506,
        0.960314,
        0.95157,
        0.938096,
        0.943958,
        0.942635,
        0.921551,
        0.888316,
        0.857414,
        0.98214,
        0.913663,
        0.909107,
        0.88487,
        0.916861,
        0.941296,
        0.946038,
        0.967802,
        0.979341,
        0.967097,
        0.964613,
        0.970307,
        0.974504,
        0.968395,
        0.986575,
        0.981775,
        0.976182,
        0.97784,
        0.984118,
        0.991074,
        0.988,
        0.980435,
        0.982108,
        0.979708,
        0.985595,
        0.994852,
        0.998883,
        0.982317,
        0.982316,
        0.980849,
        0.981283,
        0.979399,
        0.982402,
        0.984984,
        0.984236,
        0.980335,
        0.987374,
        0.985697,
        0.981695,
        0.981058,
        0.983842,
        0.983523,
        0.985878,
        0.989982,
        0.98969,
        0.977875,
        0.976787,
        0.979268,
        0.986307,
        0.984387,
        0.984377,
        0.981777,
        0.982163,
        0.982483,
        0.979694,
        0.979144,
        0.973301,
        0.969836,
        0.962862,
        0.953392,
        0.948481,
        0.941548,
        0.93928,
        0.943702,
        0.953556,
        0.955528,
        0.960236,
        0.974543,
        0.975842,
        0.98853,
        0.984021,
        0.976777,
        0.981013,
        0.979566,
        0.98131,
        0.982381,
        0.988878,
        0.98981,
        0.988523,
        0.986252,
        0.984547,
        0.988105,
        0.989082,
        0.988916,
        0.989468,
        0.985605,
        0.984569,
        0.988165,
        0.991392,
        0.988282,
        0.989072,
        0.989632,
        0.991545,
        0.989722,
        0.988641,
        0.988799,
        0.988898,
        0.987877,
        0.988631,
        0.989945,
        0.991123,
        0.988751,
        0.991034,
        0.990535,
        0.992305,
        0.99518,
        0.993053,
        0.998091,
        0.995943,
        0.997737,
        1.00277,
        0.99846,
        1.00074,
        0.99964,
        1.00007,
        0.997001,
        1.0002,
        0.997554,
        0.996065,
        0.997077,
        0.995315,
        0.995108,
        0.995215,
        0.993345,
        0.991155,
        0.988445,
        1.00228,
        0.99943,
        0.995764,
        0.992484,
        0.994992,
        0.995148,
        0.997048,
        0.99581,
        0.996155,
        0.999705,
        1.00384,
        1.00253,
        0.995615,
        0.992061,
        0.993726,
        0.999223,
        0.995686,
        0.993673,
        0.991455,
        0.991091,
        0.989414,
        0.990467,
        0.994674,
        0.996617,
        0.991616,
        0.98622,
        0.98451,
        0.98402,
        0.986244,
        0.989559,
        0.991228,
        0.990482,
        0.991575,
        0.988894,
        0.986527,
        0.987125,
        0.988531,
        0.991649,
        0.990805,
        0.990853,
        0.987413,
        0.987595,
        0.988422,
        0.987765,
        0.9882,
        0.989108,
        0.988944,
        0.988632,
        0.986114,
        0.986593,
        0.985938,
        0.985512,
        0.986141,
        0.986622,
        0.989787,
        0.985883,
        0.981732,
        0.989753,
        0.987968,
        0.988509,
        0.990106,
        0.982663,
        0.985078,
        0.990614,
        0.986638,
        0.980296,
        0.985903,
        0.996494,
        0.997054,
        0.986589,
        0.98749,
        0.994673,
        0.99717,
        0.989952,
        0.990052,
        0.996226,
        0.995098,
        0.994144,
        0.993356,
        0.990652,
        0.989237,
        0.988939,
        0.99156,
        0.993759,
        0.994416,
        0.995001,
        1.00089,
        0.99835,
        0.994914,
        0.994386,
        0.995982,
        0.999554,
        0.998096,
        0.992163,
        0.995347,
        0.993931,
        0.990879,
        0.989995,
        0.993166,
        0.992409,
        0.990188,
        0.988684,
        0.991142,
        0.991195,
        0.992647,
        0.995393,
        0.990944,
        0.992918,
        0.993171,
        0.990333,
        0.990014,
        0.995075,
        0.99397,
        0.992882,
        0.992385,
        0.995553,
        0.997666,
        0.997803,
        0.998653,
        0.995123,
        0.996601,
        0.994591,
        0.99654,
        0.998501,
        0.999569,
        1.00139,
        0.999828,
        0.99839,
        0.996973,
        0.994854,
        0.994585,
        0.997866,
        0.996689,
        0.998987,
        0.993949,
        0.992474,
        0.994324,
        0.991744,
        0.989898,
        0.989577,
        0.991159,
        0.99026,
        0.988801,
        0.989401,
        0.993659,
        0.992998,
        0.991389,
        0.990055,
        0.991913,
        0.99111,
        0.98697,
        0.98859,
        0.987731,
        0.986046,
        0.983747,
        0.986151,
        0.991196,
        0.992547,
        0.991092,
        0.991719,
        0.991546,
        0.993804,
        0.993911,
        0.987715,
        0.989463,
        0.988283,
        0.99001,
        0.983763,
        0.992325,
        0.99106,
        0.99082,
        0.990672,
        0.996303,
        0.994355,
        0.987847,
        0.996082,
        0.989602,
        0.986132,
        0.992766,
        0.993382,
        0.991417,
        0.995458,
        0.991286,
        0.988403,
        0.985494,
        0.984925,
        0.989239,
        0.992769,
        0.99404,
        0.989742,
        0.988284,
        0.991028,
        0.992791,
        0.99042,
        0.99163,
        0.992443,
        0.990842,
        0.991155,
        0.993563,
        0.995519,
        0.991512,
        0.99347,
        0.993957,
        0.993382,
        0.992314,
        0.993473,
        0.995259,
        1.0,
        0.997274,
        0.991561,
        0.99042,
        0.991121,
        0.992626,
        0.990897,
        0.991208,
        0.988812,
        0.989138,
        0.984831,
        0.986962,
        0.989439,
        0.988866,
        0.991093,
        0.986206,
        0.980425,
        0.978282,
        0.977469,
        0.981294,
        0.981652,
        0.985948,
        0.982346,
        0.983763,
        0.984657,
        0.986144,
        0.984962,
        0.984556,
        0.984677,
        0.988918,
        0.986657,
        0.985658,
        0.989755,
        0.995565,
        0.995215,
        1.00352,
        1.00856,
        1.01481,
        1.01663,
        1.01829,
        1.03054,
        1.04194,
        1.03104,
        1.04392,
        1.03821,
        1.01114,
        1.03974,
        1.03379,
        1.01548,
        1.01512,
        1.02209,
        1.03681,
        1.04069,
        1.04378,
        1.0394,
        1.0343,
        1.03596,
        1.03621,
        1.03863,
        1.03826,
        1.04399,
        1.04839,
        1.05603,
        1.05074,
        1.05471,
        1.05647,
        1.05817,
        1.05741,
        1.06286,
        1.06703,
        1.06998,
        1.07281,
        1.07553,
        1.07498,
        1.07527,
        1.06812,
        1.05661,
        1.05003,
        1.04318,
        1.03852,
        1.0276,
        1.02115,
        1.01255,
        1.00538,
        1.00185,
        0.999433,
        1.00143,
        0.997504,
        0.997725,
        0.994567,
        0.999331,
        0.997522,
        0.995998,
        0.993181,
        0.99013,
        0.990339,
        0.993316,
        0.995052,
        0.988985,
        0.990361,
        0.987906,
        0.990114,
        0.986796,
        0.988921,
        0.988827,
        0.991133,
        0.992297,
        0.990461,
        0.987665,
        0.983934,
        0.983486,
        0.987062,
        0.984591,
        0.979334,
        0.984096,
        0.990978,
        0.992859,
        0.991013,
        0.991419,
        0.988377,
        0.986363,
        0.983384,
        0.980633,
        0.980714,
        0.983465,
        0.991715,
        0.991952,
        0.984417,
        0.977872,
        0.979733,
        0.983293,
        0.98996,
        0.98899,
        0.989039,
        0.988872,
        0.987626,
        0.987299,
        0.986059,
        0.991815,
        0.986158,
        0.986754,
        0.984878,
        0.99145,
        0.986517,
        0.982712,
        0.987876,
        0.992469,
        0.992854,
        0.99158,
        0.989006,
        0.987673,
        0.990453,
        0.984055,
        0.985488,
        0.990372,
        0.986176,
        0.992178,
        0.991692,
        0.990829,
        0.989068,
        0.98671,
        0.99759,
        0.997205,
        0.989095,
        0.993824,
        0.995642,
        1.00203,
        1.00052,
        0.997289,
        1.00317,
        0.996258,
        0.991641,
        0.997139,
        0.981409,
        0.97924,
        0.977312,
        0.992154,
        1.00529,
        0.991293,
        0.987331,
        0.984408,
        0.985059,
        0.932902,
        0.974477,
        1.0003,
        0.992334,
        0.993807,
        0.989547,
        0.989278,
        0.994909,
        0.996265,
        0.998786,
        1.00068,
        0.992746,
        0.988568,
        0.993956,
        0.992036,
        0.988572,
        0.986268,
        0.987865,
        0.99346,
        0.994394,
        0.993396,
        0.989174,
        0.985,
        0.985474,
        0.988435,
        0.987906,
        0.992871,
        0.988938,
        0.990247,
        0.994051,
        0.989517,
        0.991186,
        0.990719,
        0.981021,
        0.987561,
        1.00162,
        1.00344,
        1.00891,
        0.998769,
        0.992273,
        0.983406,
        0.98051,
        0.980817,
        0.985956,
        0.988742,
        0.997233,
        0.996961,
        0.988288,
        0.989919,
        0.985575,
        0.983386,
        0.988617,
        null,
        0.991224,
        0.992658,
        0.991451,
        0.991142,
        0.99326,
        0.988696,
        0.98359,
        0.980586,
        0.984322,
        0.998475,
        0.985479,
        0.989277,
        0.990994,
        0.983915,
        0.98349,
        0.988689,
        0.989391,
        0.993555,
        0.9921,
        0.989044,
        0.987734,
        0.991536,
        1.00971,
        0.990707,
        0.985634,
        0.98269,
        0.991569,
        0.988837,
        0.985905,
        0.98956,
        0.989738,
        0.991389,
        0.994124,
        0.995659,
        0.988469,
        0.98503,
        0.983032,
        0.987022,
        0.989584,
        0.989658,
        0.988198,
        0.984713,
        0.983345,
        0.99777,
        1.00162,
        0.995465,
        0.993661,
        0.995442,
        0.997271,
        0.999465,
        0.995624,
        0.995276,
        1.00207,
        0.998369,
        1.00174,
        1.00649,
        1.00055,
        0.998113,
        0.990427,
        0.987232,
        0.988418,
        0.990923,
        0.989988,
        0.987699,
        1.00007,
        0.99544,
        0.991107,
        0.989446,
        0.991519,
        0.997455,
        0.992576,
        0.992632,
        1.00322,
        0.999113,
        0.989564,
        0.98885,
        0.988842,
        null,
        0.978606,
        0.967425,
        0.991677,
        0.95708,
        0.948615,
        0.994943,
        0.999862,
        0.977987,
        0.995541,
        0.997792,
        0.993792,
        0.975874,
        0.975031,
        0.973499,
        0.982781,
        0.979139,
        0.976875,
        0.98757,
        0.991942,
        0.981836,
        0.972992,
        0.979727,
        0.97972,
        0.976329,
        0.986433,
        0.986482,
        0.982023,
        0.976438,
        0.973943,
        0.97572,
        0.976348,
        0.974662,
        0.979393,
        0.975307,
        0.977422,
        0.979154,
        0.975342,
        0.973339,
        0.975201,
        0.978063,
        0.978008,
        0.98049,
        0.982031,
        0.9831,
        0.980288,
        0.984862,
        0.979795,
        0.98077,
        0.978983,
        0.979335,
        0.981022,
        0.978055,
        0.972321,
        0.976455,
        0.983277,
        0.97976,
        0.974063,
        0.971792,
        0.975623,
        0.974925,
        0.977006,
        0.977904,
        0.979533,
        0.973715,
        0.974039,
        0.978169,
        0.981779,
        0.977383,
        0.976436,
        0.982391,
        0.98184,
        0.979177,
        0.977221,
        0.976236,
        0.976883,
        0.975887,
        0.976604,
        0.975083,
        0.979777,
        0.973524,
        0.969807,
        0.977362,
        0.981751,
        0.989001,
        0.969125,
        0.96924,
        0.968775,
        0.968849,
        0.970691,
        0.973006,
        0.976511,
        0.979129,
        0.977187,
        0.978878,
        0.981184,
        0.978924,
        0.97768,
        0.979518,
        0.980675,
        0.983652,
        0.977714,
        0.976785,
        0.978847,
        0.978983,
        0.980785,
        0.994173,
        1.00472,
        0.994573,
        0.986713,
        0.982309,
        0.978733,
        0.986982,
        0.988904,
        0.99215,
        0.990036,
        0.989969,
        0.985994,
        0.98445,
        0.984125,
        0.983371,
        0.986136,
        0.987394,
        0.98925,
        0.990987,
        0.989541,
        0.988891,
        0.989049,
        0.986637,
        0.983605,
        0.98528,
        0.98302,
        0.987169,
        0.986661,
        0.978045,
        0.983202,
        0.990866,
        0.989337,
        0.985936,
        0.980386,
        0.981779,
        0.987291,
        0.990432,
        0.990829,
        0.990238,
        0.994322,
        0.993501,
        0.994548,
        0.991426,
        0.99031,
        0.989323,
        0.990578,
        0.99011,
        0.990107,
        0.986529,
        0.984909,
        0.983978,
        0.986912,
        0.987366,
        0.986699,
        0.992292,
        0.991805,
        0.985661,
        0.984319,
        0.980029,
        0.979824,
        0.988771,
        0.989845,
        0.983315,
        0.981492,
        0.976738,
        0.982512,
        0.991382,
        0.988234,
        0.980479,
        0.992941,
        0.983181,
        0.98016,
        0.983415,
        0.983944,
        0.983279,
        0.984166,
        0.985412,
        0.985225,
        0.982196,
        0.98142,
        0.980583,
        0.981933,
        0.978086,
        0.978077,
        0.980161,
        0.980279,
        0.981228,
        0.983824,
        0.981486,
        0.980385,
        0.982355,
        0.979924,
        0.978424,
        0.979613,
        0.982094,
        0.982016,
        0.980386,
        0.979129,
        0.981625,
        0.974686,
        0.974923,
        0.982793,
        1.0006,
        0.988949,
        0.975294,
        0.968039,
        0.970053,
        0.976348,
        0.979906,
        0.97927,
        0.981197,
        0.980622,
        0.979842,
        0.978548,
        0.978339,
        0.980918,
        0.983008,
        0.981431,
        0.979731,
        0.97944,
        0.984222,
        0.986844,
        0.980201,
        0.978777,
        0.975548,
        0.975104,
        0.981915,
        0.98977,
        0.991765,
        0.981498,
        0.975355,
        0.972405,
        0.976171,
        0.979857,
        0.981864,
        0.978455,
        0.976898,
        0.977899,
        0.985145,
        0.982417,
        0.979366,
        0.981869,
        0.978864,
        0.978446,
        0.983623,
        0.985931,
        0.985304,
        0.984643,
        0.977351,
        0.980178,
        0.986053,
        0.983059,
        0.979802,
        0.97439,
        0.9712,
        0.977959,
        0.98113,
        0.972324,
        0.973323,
        0.978247,
        0.976221,
        0.978453,
        0.984058,
        0.984887,
        0.983697,
        0.978371,
        0.972944,
        0.974114,
        0.976245,
        0.979225,
        0.982687,
        0.983322,
        0.98216,
        0.979021,
        0.980404,
        0.984542,
        0.98559,
        0.979832,
        0.978331,
        0.982112,
        0.984953,
        0.979943,
        0.973849,
        0.97493,
        0.978505,
        0.982782,
        0.979656,
        0.974011,
        0.971126,
        0.974677,
        0.973868,
        0.976193,
        0.974916,
        0.977172,
        0.977752,
        0.979063,
        0.974617,
        0.975767,
        0.973429,
        0.981241,
        0.982084,
        0.975998,
        0.975498,
        0.978198,
        0.97986,
        0.977477,
        0.97602,
        0.974744,
        0.974825,
        0.976924,
        0.980523,
        0.97815,
        0.966125,
        0.974869,
        0.982931,
        0.982105,
        0.989974,
        0.978819,
        0.97579,
        0.980211,
        0.988438,
        0.998648,
        1.01261,
        1.01921,
        1.02472,
        1.02504,
        1.03056,
        1.03981,
        1.04831,
        1.05014,
        1.05422,
        1.05687,
        0.981001,
        0.870054,
        0.775565,
        0.667687,
        0.661985,
        0.816224,
        0.960474,
        1.00926,
        1.02546,
        1.03324,
        1.02837,
        1.03026,
        1.03641,
        1.04168,
        1.04367,
        1.04682,
        1.04992,
        1.05369,
        1.05666,
        1.05717,
        1.06393,
        1.06504,
        1.06787,
        1.06872,
        1.06816,
        1.07097,
        1.07264,
        1.06514,
        1.0563,
        1.04663,
        1.03673,
        1.0269,
        1.02345,
        1.02714,
        1.01559,
        1.0064,
        0.998184,
        0.995818,
        0.990678,
        0.988337,
        0.983149,
        0.997053,
        0.996868,
        0.98755,
        0.975982,
        0.96783,
        0.973581,
        0.988184,
        0.984987,
        0.984009,
        0.987351,
        0.98005,
        0.973144,
        0.961691,
        0.971621,
        0.979531,
        0.979638,
        0.985983,
        0.976757,
        0.981869,
        0.980433,
        0.97875,
        0.978857,
        0.977605,
        0.981632,
        0.985087,
        0.988283,
        0.9887,
        0.986569,
        0.984897,
        0.985177,
        0.980618,
        0.97966,
        0.983846,
        0.980182,
        0.977633,
        0.980778,
        0.978442,
        0.976182,
        0.974754,
        0.983622,
        0.996471,
        0.988203,
        0.986465,
        0.969849,
        0.970872,
        0.973488,
        0.977993,
        0.979318,
        0.98092,
        0.976664,
        0.975873,
        0.975525,
        0.974155,
        0.976183,
        0.978247,
        0.98345,
        0.984543,
        0.979914,
        0.976168,
        0.980245,
        0.975568,
        0.976039,
        0.979112,
        0.985801,
        0.985362,
        0.979331,
        0.97541,
        0.987071,
        0.985659,
        0.985426,
        0.983899,
        0.978633,
        0.97719,
        0.980847,
        0.984664,
        0.982229,
        0.98037,
        0.97791,
        0.98008,
        0.981013,
        0.982104,
        0.979646,
        0.980085,
        0.986434,
        0.988821,
        0.980827,
        0.980722,
        0.981093,
        0.986353,
        0.982646,
        0.980374,
        0.981698,
        0.983863,
        0.979551,
        0.979428,
        0.984448,
        0.984273,
        0.966938,
        0.954335,
        0.971848,
        0.975882,
        0.976155,
        0.981743,
        0.981834,
        0.98536,
        0.979863,
        0.972685,
        0.974841,
        0.97782,
        0.979498,
        0.978559,
        0.980508,
        0.97933,
        0.978357,
        0.983313,
        0.988701,
        0.984256,
        0.979791,
        0.980282,
        0.978488,
        0.9757,
        0.973339,
        0.985431,
        0.992164,
        0.988768,
        0.988491,
        0.974329,
        0.97446,
        0.975951,
        0.975881,
        null,
        0.979641,
        0.978754,
        0.974671,
        0.972856,
        0.983103,
        0.982146,
        0.986208,
        0.983232,
        0.978596,
        0.979605,
        0.978829,
        0.977449,
        0.977626,
        0.976288,
        0.976405,
        0.978859,
        0.979155,
        0.986805,
        0.997012,
        0.991871,
        0.977249,
        0.972165,
        0.979755,
        0.985242,
        0.987443,
        0.989687,
        0.992815,
        0.992064,
        0.994028,
        0.993938,
        0.996108,
        0.988703,
        0.988518,
        0.988388,
        0.989676,
        0.990675,
        0.988471,
        0.998321,
        0.992652,
        0.974657,
        0.978127,
        0.984474,
        0.987043,
        0.986083,
        0.987405,
        0.986516,
        0.984095,
        0.985445,
        0.98334,
        0.984596,
        0.987491,
        0.987619,
        0.987051,
        0.989481,
        0.986511,
        0.990195,
        0.988468,
        0.984198,
        0.977975,
        0.985649,
        0.990256,
        0.987815,
        0.986752,
        0.982748,
        0.980423,
        0.985216,
        0.984103,
        0.986054,
        0.979855,
        0.976568,
        0.978383,
        0.984262,
        0.983265,
        0.976777,
        0.968423,
        0.971697,
        0.977844,
        0.984792,
        0.988728,
        0.977751,
        0.968565,
        0.971197,
        0.975244,
        0.969424,
        0.973437,
        0.977894,
        0.979301,
        0.974358,
        0.977365,
        0.976135,
        0.978593,
        0.976039,
        0.976751,
        0.974138,
        0.976908,
        0.9775,
        0.976656,
        0.977997,
        0.979702,
        0.980571,
        0.980229,
        0.981088,
        0.9753,
        0.979775,
        0.979031,
        0.979355,
        0.97999,
        0.97904,
        0.975564,
        0.981691,
        0.979307,
        0.984578,
        0.980299,
        0.976291,
        0.972135,
        0.976402,
        0.973899,
        0.973091,
        0.969025,
        0.9701,
        0.972827,
        0.976219,
        0.975783,
        0.976133,
        0.968045,
        0.966541,
        0.968241,
        0.965515,
        0.965474,
        0.958132,
        0.953187,
        0.955263,
        0.956191,
        0.946489,
        0.936631,
        0.934755,
        0.937469,
        0.929935,
        0.932705,
        0.927722,
        0.937917,
        0.941222,
        0.948259,
        0.947595,
        0.958211,
        0.962031,
        0.968137,
        0.967233,
        0.965331,
        0.96867,
        0.975773,
        0.984811,
        0.979962,
        0.967205,
        0.964628,
        0.972089,
        0.974328,
        0.973544,
        0.979072,
        0.978086,
        0.973081,
        0.97736,
        0.977543,
        0.980445,
        0.97727,
        0.978948,
        0.979914,
        0.979063,
        0.975378,
        0.977043,
        0.976264,
        0.981475,
        0.979396,
        0.977217,
        0.977966,
        0.978489,
        0.976091,
        0.976714,
        0.975409,
        0.982448,
        0.978986,
        0.977088,
        0.976206,
        0.971641,
        0.973572,
        0.980367,
        0.996614,
        0.984073,
        0.970833,
        0.972697,
        0.976482,
        0.975547,
        0.97686,
        0.977283,
        0.981552,
        0.975241,
        0.976289,
        0.972822,
        0.974718,
        0.972469,
        0.972116,
        0.975879,
        0.977171,
        0.976626,
        0.978981,
        0.974443,
        0.970863,
        0.975978,
        0.974327,
        0.97622,
        0.982168,
        0.984722,
        0.983172,
        0.985801,
        0.982847,
        0.980928,
        0.982848,
        0.984657,
        0.983437,
        0.986018,
        0.983412,
        0.980954,
        0.980117,
        0.987298,
        0.988054,
        0.984707,
        0.979161,
        0.981116,
        0.974221,
        0.97709,
        0.96924,
        0.915627,
        0.800756,
        0.675549,
        0.572453,
        0.560858,
        0.717956,
        0.887483,
        0.957298,
        0.978645,
        0.985672,
        0.979462,
        0.976069,
        0.976145,
        0.978537,
        0.980376,
        0.985074,
        0.98113,
        0.984983,
        0.969922,
        0.986885,
        0.997483,
        0.968046,
        0.982258,
        0.981955,
        0.974583,
        0.97938,
        0.983302,
        0.981038,
        0.98101,
        0.983542,
        0.980729,
        0.978514,
        0.973224,
        0.974131,
        0.972941,
        0.977631,
        0.988513,
        0.988393,
        0.980159,
        0.970182,
        0.974934,
        0.981111,
        0.98349,
        0.979912,
        0.970263,
        0.959601,
        0.955524,
        0.969326,
        0.990487,
        0.998911,
        1.00062,
        1.00088,
        0.987881,
        1.00081,
        1.01788,
        1.02502,
        1.03945,
        1.03735,
        1.03898,
        1.04656,
        1.06011,
        1.158,
        0.981928,
        1.00266,
        1.0187,
        1.02383,
        1.03501,
        1.03018,
        1.04129,
        1.01852,
        1.02134,
        1.03015,
        1.02337,
        1.02558,
        1.02575,
        1.03039,
        1.0306,
        1.03565,
        1.04176,
        1.04497,
        1.04492,
        1.04983,
        1.04774,
        1.05812,
        1.06198,
        1.06358,
        1.05844,
        1.06744,
        1.0701,
        1.06301,
        1.05722,
        1.0526,
        1.04852,
        1.0421,
        1.03446,
        1.02559,
        1.02082,
        1.01498,
        1.00475,
        0.99754,
        0.995381,
        0.997605,
        0.989748,
        0.983793,
        0.986296,
        0.984959,
        0.983957,
        0.98382,
        0.977181,
        0.972366,
        0.978347,
        0.973005,
        0.985566,
        0.979405,
        0.975619,
        0.970694,
        0.977011,
        0.992889,
        0.995017,
        0.989651,
        0.978109,
        0.97681,
        0.977515,
        0.977051,
        0.978254,
        0.97967,
        0.98423,
        0.981403,
        0.983103,
        0.982599,
        0.990044,
        0.990278,
        0.982201,
        0.980334,
        0.977879,
        0.980161,
        0.976661,
        0.975142,
        0.984045,
        0.980931,
        0.980106,
        0.983862,
        0.97798,
        0.976956,
        0.978607,
        0.978984,
        0.976425,
        0.977491,
        0.986737,
        0.981352,
        0.979139,
        0.978312,
        0.976372,
        0.97808,
        0.980988,
        0.981111,
        0.978629,
        0.973936,
        0.978302,
        0.986518,
        0.974076,
        0.971171,
        0.970052,
        0.98414,
        0.979055,
        0.984232,
        0.982235,
        0.983137,
        0.980891,
        0.977994,
        0.979618,
        0.976172,
        0.972934,
        0.982918,
        0.982759,
        0.990394,
        0.977105,
        0.967995,
        0.972914,
        0.979668,
        0.977435,
        0.97571,
        0.975933,
        0.976894,
        0.969906,
        0.970131,
        0.967421,
        null,
        0.971281,
        0.974779,
        0.980242,
        0.977735,
        0.976227,
        0.975555,
        0.980133,
        0.978605,
        0.976222,
        0.970143,
        0.972728,
        0.963942,
        0.966457,
        0.969002,
        0.973422,
        0.968424,
        0.978276,
        0.976934,
        0.966879,
        0.971442,
        0.971741,
        0.972557,
        0.973729,
        0.974994,
        0.976959,
        0.973856,
        0.974752,
        0.974787,
        0.972972,
        0.968966,
        0.966276,
        0.965798,
        0.969457,
        0.971127,
        0.963972,
        0.964933,
        0.961881,
        0.953999,
        0.963507,
        0.962848,
        0.957644,
        0.939672,
        0.921926,
        0.914303,
        0.912276,
        0.920823,
        0.944231,
        0.946056,
        0.940591,
        0.939042,
        0.947538,
        0.954384,
        0.954431,
        0.956957,
        0.956434,
        0.952572,
        0.959003,
        0.984247,
        0.980328,
        0.968231,
        0.963059,
        0.964103,
        0.967935,
        0.966911,
        0.970607,
        0.967232,
        0.964235,
        0.960028,
        0.952667,
        0.948875,
        0.950179,
        0.932808,
        0.906148
    ],
    "flux_error": [
        0.00241128,
        0.00240101,
        0.00237427,
        0.00232894,
        0.0022726,
        0.00243793,
        0.0022652,
        0.0022316,
        0.0022804,
        0.00231675,
        0.00228152,
        0.00220019,
        0.0022943,
        0.00244241,
        0.00229361,
        0.00230377,
        0.00226823,
        0.00221857,
        0.00233046,
        0.0023199,
        0.00222296,
        0.00227082,
        0.00228823,
        0.00222653,
        0.00233405,
        0.00235738,
        0.00232872,
        0.00225203,
        0.00234021,
        0.00229107,
        0.00242944,
        0.00251529,
        0.00252702,
        0.00233208,
        0.00238619,
        0.0024332,
        0.00246039,
        0.00233278,
        0.00232356,
        0.00235541,
        0.00245286,
        0.0024496,
        0.0023999,
        0.00247932,
        0.00257978,
        0.00260984,
        0.00288274,
        0.00312992,
        0.00333957,
        0.00354955,
        0.00394029,
        0.00433445,
        0.00504265,
        0.00620151,
        0.00704179,
        0.0068345,
        0.00579303,
        0.00516918,
        0.00409932,
        0.00377625,
        0.0033383,
        0.00292953,
        0.00296372,
        0.0027587,
        0.00254513,
        0.00243229,
        0.00235277,
        0.00237214,
        0.0024464,
        0.00227473,
        0.00238088,
        0.00233617,
        0.00236776,
        0.0022657,
        0.00218589,
        0.00216488,
        0.00209199,
        0.00215196,
        0.0021294,
        0.00208235,
        0.00199293,
        0.00202377,
        0.00202842,
        0.00205782,
        0.00204661,
        0.00209172,
        0.00197275,
        0.00211377,
        0.00217914,
        0.00213863,
        0.00208112,
        0.00206689,
        0.00208829,
        0.00214233,
        0.00216655,
        0.00210503,
        0.00204547,
        0.00215454,
        0.00205744,
        0.00193405,
        0.00201358,
        0.00210086,
        0.00218657,
        0.0020649,
        0.00188264,
        0.00192125,
        0.0020317,
        0.00219551,
        0.00217638,
        0.00214364,
        0.00210176,
        0.00216195,
        0.00212973,
        0.00211058,
        0.00206084,
        0.00199216,
        0.00200013,
        0.00194963,
        0.00198739,
        0.00201451,
        0.00206631,
        0.00209902,
        0.00202174,
        0.00193209,
        0.00197327,
        0.0020653,
        0.00207333,
        0.00205603,
        0.00209742,
        0.00209526,
        0.00203234,
        0.00192211,
        0.00189741,
        0.00198287,
        0.00204632,
        0.00198089,
        0.00199471,
        0.0020204,
        0.00205413,
        0.00192509,
        0.00190754,
        0.00189808,
        0.00199702,
        0.00209158,
        0.00207478,
        0.00208674,
        0.00191307,
        0.00191632,
        0.00199973,
        0.00205494,
        0.00207052,
        0.00199943,
        0.00200705,
        0.00194175,
        0.00195924,
        0.00192949,
        0.00191755,
        0.00199342,
        0.00199102,
        0.00199195,
        0.00196026,
        0.00208483,
        0.00218307,
        0.00206447,
        0.00185475,
        0.00195072,
        0.00209465,
        0.00211204,
        0.00198783,
        0.00192252,
        0.00208966,
        0.00211278,
        0.00215699,
        0.00208893,
        0.00198765,
        0.00212258,
        0.0021554,
        0.00196674,
        0.00200274,
        0.00204162,
        0.00186574,
        0.00177527,
        0.00196116,
        0.00196334,
        0.00192421,
        0.00193725,
        0.00195131,
        0.00185521,
        0.00189458,
        0.00199514,
        0.00193397,
        0.00189604,
        0.00192781,
        0.00203792,
        0.00197165,
        0.00195828,
        0.00196522,
        0.00193402,
        0.0019206,
        0.00189313,
        0.00189233,
        0.00197998,
        0.0019695,
        0.00186468,
        0.00185154,
        0.00182074,
        0.00186568,
        0.00187217,
        0.00175294,
        0.00183125,
        0.0019549,
        0.00192942,
        0.00194283,
        0.00204825,
        0.00201045,
        0.00187498,
        0.00188278,
        0.00185329,
        0.00177738,
        0.00183687,
        0.00192136,
        0.00192981,
        0.00185564,
        0.00186512,
        0.00184915,
        0.00185698,
        0.00182872,
        0.00182829,
        0.0017404,
        0.00176279,
        0.00174784,
        0.00178716,
        0.00185058,
        0.00195215,
        0.0018724,
        0.00176757,
        0.00189219,
        0.00189402,
        0.00191579,
        0.00188126,
        0.00184507,
        0.00187869,
        0.00187032,
        0.00187055,
        0.00177146,
        0.00177573,
        0.0018652,
        0.0018412,
        0.00176638,
        0.00179106,
        0.00181887,
        0.00186676,
        0.00192622,
        0.00188416,
        0.00171966,
        0.00176951,
        0.00182918,
        0.00178652,
        0.00170771,
        0.00169445,
        0.00181287,
        0.00185223,
        0.00174232,
        0.00169852,
        0.00169685,
        0.00174735,
        0.00174416,
        0.0017219,
        0.00181001,
        0.00183701,
        0.00176411,
        0.00174855,
        0.00181431,
        0.00179575,
        0.00181741,
        0.00180471,
        0.001747,
        0.00179662,
        0.00187227,
        0.00184025,
        0.00179106,
        0.00179374,
        0.00174949,
        0.00177015,
        0.00177109,
        0.00178267,
        0.00172994,
        0.00175972,
        0.00173891,
        0.00175831,
        0.00188334,
        0.00175856,
        0.00173701,
        0.00176296,
        0.00189957,
        0.001963,
        0.00208024,
        0.00211471,
        0.00196107,
        0.00175377,
        0.00173443,
        0.00174436,
        0.00178638,
        0.00184935,
        0.00180532,
        0.00178949,
        0.00181227,
        0.001811,
        0.00179935,
        0.00178136,
        0.00168208,
        0.00168815,
        0.00174976,
        0.00176814,
        0.00175586,
        0.00176578,
        0.00176693,
        0.00170044,
        0.00158464,
        0.00170065,
        0.00161551,
        0.00174638,
        0.00181276,
        0.00179584,
        0.00181506,
        0.00183285,
        0.00180854,
        0.00177745,
        0.00170462,
        0.00165356,
        0.00169343,
        0.00169198,
        0.00162794,
        0.00171059,
        0.00171325,
        0.00174871,
        0.00181594,
        0.0017057,
        0.00175921,
        0.00162636,
        0.00165671,
        0.00174488,
        0.00179976,
        0.00172997,
        0.00172722,
        0.00171442,
        0.00178349,
        0.00178079,
        0.00167334,
        0.00173495,
        0.00170712,
        0.0017489,
        0.00178973,
        0.00176056,
        0.00178859,
        0.00175059,
        0.00180586,
        0.00181225,
        0.00175677,
        0.00175962,
        0.00176748,
        0.00178158,
        0.00185642,
        0.00178973,
        0.00169108,
        0.00162997,
        0.0016829,
        0.00177334,
        0.00176194,
        0.00169738,
        0.00173189,
        0.00175286,
        0.00176217,
        0.00164205,
        0.00163022,
        0.00180629,
        0.00176831,
        0.00166923,
        0.00161881,
        0.00165972,
        0.00172422,
        0.00175542,
        0.00168855,
        0.00174388,
        0.00180472,
        0.00173444,
        0.00175971,
        0.00185007,
        0.00177023,
        0.00171307,
        0.00175106,
        0.00177783,
        0.00180989,
        0.00181605,
        0.0017765,
        0.00168954,
        0.00171564,
        0.00168461,
        0.0016687,
        0.0017614,
        0.00181646,
        0.00184949,
        0.00180913,
        0.00185593,
        0.00180493,
        0.00187004,
        0.00182839,
        0.00189111,
        0.00189735,
        0.00193294,
        0.00182733,
        0.00188863,
        0.00195051,
        0.00197143,
        0.00194626,
        0.00183718,
        0.00183912,
        0.00181383,
        0.00175033,
        0.001772,
        0.00181823,
        0.00184356,
        0.00182248,
        0.00183671,
        0.00186934,
        0.00182519,
        0.00176718,
        0.00172939,
        0.00168344,
        0.00183418,
        0.00178825,
        0.00179279,
        0.00182935,
        0.00177068,
        0.00185626,
        0.00186744,
        0.00176963,
        0.00174129,
        0.00169731,
        0.00166981,
        0.00180278,
        0.00179513,
        0.00184391,
        0.00177568,
        0.00171553,
        0.00180532,
        0.00184664,
        0.00172636,
        0.00164523,
        0.00172837,
        0.0017625,
        0.001821,
        0.00192177,
        0.00182794,
        0.00174587,
        0.00183689,
        0.00177305,
        0.00175674,
        0.001851,
        0.0018711,
        0.00181607,
        0.00189391,
        0.00183843,
        0.00179008,
        0.00188932,
        0.00183441,
        0.00186863,
        0.00177346,
        0.00180431,
        0.00189875,
        0.00194432,
        0.00203358,
        0.0018968,
        0.00187913,
        0.0019171,
        0.0020278,
        0.00200475,
        0.00187892,
        0.00179436,
        0.00179143,
        0.00176727,
        0.0018212,
        0.00186481,
        0.00185851,
        0.00190991,
        0.00197464,
        0.00198156,
        0.00192652,
        0.00186618,
        0.00181141,
        0.00177803,
        0.00188761,
        0.00192637,
        0.00195393,
        0.00197931,
        0.00194825,
        0.00184697,
        0.0019939,
        0.00199761,
        0.00188011,
        0.0019271,
        0.00194153,
        0.00196017,
        0.00207564,
        0.00194559,
        0.00184982,
        0.00181659,
        0.00191455,
        0.00194787,
        0.00188787,
        0.00199712,
        0.00197655,
        0.00201053,
        0.0020545,
        0.0020699,
        0.00202728,
        0.00195122,
        0.00197367,
        0.00202001,
        0.00206017,
        0.00194298,
        0.0020006,
        0.0019966,
        0.00186788,
        0.00186283,
        0.00193122,
        0.00201663,
        0.00196938,
        0.00195383,
        0.0020438,
        0.00208522,
        0.00211147,
        0.00208385,
        0.00190998,
        0.00207519,
        0.00203076,
        0.00197636,
        0.00193162,
        0.00197046,
        0.00199648,
        0.00216815,
        0.00208338,
        0.00202969,
        0.0020313,
        0.00201041,
        0.00197994,
        0.0020823,
        0.00201923,
        0.00205116,
        0.00214296,
        0.00212568,
        0.00216732,
        0.00204906,
        0.00204208,
        0.00205016,
        0.00208915,
        0.00214843,
        0.00215232,
        0.00213539,
        0.00214588,
        0.00209128,
        0.00204689,
        0.00203084,
        0.0020232,
        0.00205641,
        0.00216128,
        0.00217504,
        0.00218725,
        0.00215833,
        0.00221925,
        0.00213577,
        0.00226125,
        0.00220143,
        0.002107,
        0.00214525,
        0.00221732,
        0.00220807,
        0.0021007,
        0.00213002,
        0.00219935,
        0.00217449,
        0.00212562,
        0.00222086,
        0.00216465,
        0.00229772,
        0.00231441,
        0.00230983,
        0.00225787,
        0.00210275,
        0.00219932,
        0.00217049,
        0.00219263,
        0.00210062,
        0.00196455,
        0.00199458,
        0.00204293,
        0.00200617,
        0.00208637,
        0.00216002,
        0.00208576,
        0.00207041,
        0.00212733,
        0.00204333,
        0.00209091,
        0.00215498,
        0.0025333,
        0.0023453,
        0.00234843,
        0.00228782,
        0.00222247,
        0.00222009,
        0.00220298,
        0.00219428,
        0.00219461,
        0.00213348,
        0.00221058,
        0.00225946,
        0.00220574,
        0.00220835,
        0.00227627,
        0.00217229,
        0.0020719,
        0.00204522,
        0.00209615,
        0.0022466,
        0.00219479,
        0.00216123,
        0.00219004,
        0.00217421,
        0.00210583,
        0.00212332,
        0.00216658,
        0.0022136,
        0.00216658,
        0.00218099,
        0.00215401,
        0.00217402,
        0.00215345,
        0.00220728,
        0.00217508,
        0.00217869,
        0.00223485,
        0.00230649,
        0.00226496,
        0.00218031,
        0.00214391,
        0.00214387,
        0.00228818,
        0.00229485,
        0.00235949,
        0.00225919,
        0.00224861,
        0.00223865,
        0.00224335,
        0.0021214,
        0.00214587,
        0.00221095,
        0.00218065,
        0.0022069,
        0.0022017,
        0.00218155,
        0.00235616,
        0.0021761,
        0.00221145,
        0.00215792,
        0.00219066,
        0.00220255,
        0.00222731,
        0.00223086,
        0.00240584,
        0.00237334,
        0.00230181,
        0.00237158,
        0.00250757,
        0.00228349,
        0.00238917,
        0.00243099,
        0.00234042,
        0.00241458,
        0.00230564,
        0.00219623,
        0.00223233,
        0.00227788,
        0.00230145,
        0.002212,
        0.00210413,
        0.00235402,
        0.00224464,
        0.00215204,
        0.00215047,
        0.00218443,
        0.00224802,
        0.002246,
        0.00235962,
        0.0021844,
        0.0022179,
        0.00225311,
        0.00221159,
        0.00222618,
        0.00233034,
        0.0022666,
        0.00235168,
        0.00252355,
        0.00263867,
        0.00261647,
        0.00297191,
        0.00323447,
        0.00348524,
        0.00364289,
        0.00395543,
        0.0050422,
        0.00557794,
        0.00618055,
        0.00663773,
        0.00748861,
        0.00928953,
        0.0112905,
        0.0111318,
        0.00862375,
        0.00709168,
        0.00559795,
        0.00494196,
        0.00473989,
        0.0050281,
        0.00505486,
        0.00606133,
        0.00728694,
        0.00812501,
        0.0080596,
        0.00721718,
        0.00660563,
        0.00515571,
        0.00438634,
        0.00385831,
        0.0034376,
        0.00295741,
        0.00266165,
        0.00252663,
        0.00263242,
        0.00265617,
        0.00239101,
        0.0021048,
        0.00223422,
        0.00223751,
        0.00223497,
        0.00218647,
        0.00203851,
        0.00208441,
        0.00212982,
        0.00217715,
        0.00216405,
        0.0021226,
        0.00213049,
        0.00215937,
        0.00209956,
        0.00199486,
        0.0019473,
        0.00203747,
        0.00206158,
        0.00194857,
        0.00191667,
        0.00192139,
        0.00202937,
        0.00195923,
        0.00193929,
        0.00197557,
        0.00195758,
        0.00193489,
        0.00188247,
        0.00190065,
        0.0019322,
        0.00189365,
        0.0019817,
        0.00188962,
        0.00192636,
        0.00194948,
        0.00184913,
        0.0017967,
        0.0018192,
        0.00175599,
        0.00185385,
        0.0018339,
        0.00183339,
        0.0018037,
        0.00179204,
        0.00186772,
        0.0020171,
        0.00195022,
        0.00195529,
        0.00191446,
        0.00188057,
        0.00189317,
        0.00184055,
        0.00192213,
        0.00192357,
        0.00184765,
        0.00179728,
        0.00185734,
        0.00183621,
        0.00180855,
        0.00179133,
        0.00181064,
        0.00182488,
        0.00182981,
        0.00175593,
        0.00175512,
        0.00178731,
        0.00183362,
        0.00185483,
        0.00179078,
        0.0017195,
        0.00170997,
        0.00183419,
        0.00182173,
        0.00184667,
        0.00182376,
        0.00174916,
        0.00171676,
        0.00179212,
        0.00186198,
        0.00177221,
        0.00171881,
        0.00167039,
        0.00158199,
        0.001745,
        0.00191221,
        0.00193327,
        0.00189847,
        0.00186737,
        0.00184731,
        0.00182681,
        0.00179243,
        0.00187258,
        0.00180657,
        0.00176397,
        0.00179745,
        0.00173402,
        0.00178169,
        0.00174249,
        0.00177851,
        0.00178819,
        0.00182049,
        0.0018744,
        0.00185531,
        0.0019373,
        0.00209347,
        0.00212631,
        0.00210221,
        0.00209856,
        0.00199898,
        0.00193562,
        0.00214421,
        0.00240197,
        0.00249069,
        0.00261907,
        0.0027719,
        0.0024629,
        0.00235365,
        0.00233582,
        0.00230295,
        0.00220668,
        0.00202902,
        0.00200657,
        0.00195186,
        0.00194377,
        0.00187967,
        0.00186162,
        0.00194263,
        0.00186188,
        0.00186523,
        0.00183446,
        0.00187333,
        0.00188548,
        0.00185591,
        0.00175558,
        0.00180823,
        0.00172065,
        0.00170719,
        0.00185481,
        0.00191388,
        0.00181425,
        0.00174568,
        0.00177885,
        0.00175992,
        0.00179988,
        0.00183341,
        0.00185699,
        0.00192336,
        0.00187191,
        0.00180716,
        0.00177016,
        0.0017896,
        0.0018122,
        0.00187675,
        0.00181973,
        0.0017336,
        0.00167938,
        0.00174722,
        0.00181478,
        0.00179718,
        0.00180831,
        0.00172261,
        0.00174838,
        0.0017883,
        0.00171971,
        0.00166275,
        0.00174252,
        0.0018466,
        0.00185761,
        0.00182178,
        0.00182155,
        0.00184874,
        0.00180901,
        0.00182802,
        0.00185007,
        0.00191746,
        0.00199741,
        0.00196511,
        0.0018429,
        0.00188091,
        0.00202338,
        0.00201018,
        0.00201938,
        0.00207393,
        0.00207675,
        0.0019786,
        0.0019879,
        0.00199128,
        0.00196568,
        0.0019626,
        0.00197062,
        0.00188551,
        0.00188861,
        0.00197789,
        0.0019299,
        0.00186355,
        0.00183481,
        0.00199563,
        0.0019069,
        0.00196313,
        0.0020362,
        0.00200412,
        0.00204285,
        0.0021419,
        0.00211037,
        0.00200114,
        0.00212363,
        0.00217555,
        0.00212795,
        0.00215355,
        0.00221628,
        0.00214841,
        0.00229777,
        0.00228433,
        0.00232342,
        0.00251305,
        0.00279071,
        0.00286434,
        0.00314283,
        0.00344103,
        0.00370235,
        0.00406521,
        0.00416683,
        0.00388009,
        0.00397107,
        0.00357024,
        0.00328616,
        0.00295008,
        0.00265466,
        0.00251911,
        0.00246971,
        0.00231329,
        0.00226401,
        0.0022908,
        0.00226925,
        0.00213981,
        0.0021612,
        0.00210448,
        0.00192949,
        0.00195521,
        0.00195968,
        0.00188581,
        0.00184205,
        0.00188335,
        0.00184172,
        0.00190974,
        0.00192962,
        0.00187319,
        0.00197823,
        0.00195542,
        0.00197512,
        0.00204556,
        0.00194303,
        0.00186426,
        0.00182323,
        0.00189894,
        0.00196056,
        0.00199473,
        0.00201079,
        0.00195249,
        0.00188497,
        0.00191467,
        0.00198874,
        0.00203088,
        0.00197097,
        0.00192387,
        0.0019243,
        0.00194136,
        0.00200126,
        0.00206591,
        0.00202055,
        0.00201179,
        0.00200505,
        0.00201656,
        0.00195955,
        0.00188075,
        0.00199525,
        0.00205252,
        0.00206281,
        0.00213787,
        0.00221768,
        0.00213343,
        0.00210604,
        0.00224999,
        0.00230294,
        0.00223588,
        0.00208102,
        0.0021669,
        0.00228421,
        0.00209354,
        0.00207448,
        0.00206547,
        0.00205001,
        0.00202693,
        0.00209227,
        0.00200352,
        0.0019073,
        0.00202175,
        0.00211211,
        0.00202562,
        0.00201732,
        0.00196895,
        0.00199807,
        0.0019452,
        0.00194975,
        0.00196681,
        0.00195152,
        0.00191499,
        0.00200076,
        0.00195581,
        0.00191259,
        0.00206815,
        0.00219707,
        0.0021092,
        0.00202351,
        0.00196789,
        0.00212004,
        0.0021848,
        0.00216784,
        0.00223302,
        0.00207799,
        0.00208565,
        0.00211926,
        0.00217973,
        0.00221049,
        0.0022344,
        0.00224625,
        0.00233552,
        0.00227958,
        0.00231687,
        0.0024183,
        0.00257398,
        0.00272908,
        0.00268928,
        0.00271818,
        0.00351373,
        0.0038698,
        0.00454708,
        0.00608054,
        0.0105373,
        0.0177722,
        0.0240655,
        0.0126591,
        0.00638936,
        0.00487424,
        0.00436606,
        0.00373271,
        0.00322351,
        0.00303175,
        0.00271237,
        0.00267618,
        0.00269672,
        0.00256129,
        0.00257455,
        0.00259814,
        0.00248401,
        0.00234092,
        0.00229829,
        0.0024905,
        0.00241976,
        0.00222383,
        0.00231717,
        0.00228194,
        0.0021924,
        0.00209631,
        0.00210616,
        0.00205133,
        0.00203038,
        0.00211418,
        0.00211815,
        0.00204548,
        0.00200637,
        0.00208449,
        0.00216445,
        0.00223654,
        0.00225991,
        0.00221158,
        0.00213764,
        0.00208189,
        0.00214353,
        0.00213337,
        0.00211609,
        0.00216607,
        0.00219216,
        0.00220565,
        0.00215851,
        0.00231559,
        0.00233823,
        0.00239923,
        0.00238037,
        0.00229025,
        0.00240904,
        0.00257819,
        0.00256823,
        0.00272908,
        0.00318167,
        0.0036462,
        0.00377374,
        0.00421604,
        0.0053743,
        0.00692636,
        0.0107445,
        0.0143242,
        0.0149387,
        0.0097767,
        0.00664681,
        0.00502579,
        0.00397682,
        0.00358269,
        0.00335897,
        0.00318084,
        0.00277865,
        0.00237884,
        0.00219401,
        0.00211182,
        0.00221265,
        0.00222577,
        0.00229707,
        0.00231752,
        0.00225316,
        0.00220664,
        0.00212491,
        0.00216231,
        0.00209951,
        0.00207885,
        0.00205179,
        0.0019898,
        0.00205964,
        0.00203195,
        0.00199929,
        0.00205579,
        0.00206279,
        0.00209275,
        0.00205384,
        0.00206068,
        0.00204563,
        0.00206437,
        0.00202276,
        0.00197471,
        0.00190645,
        0.00196159,
        0.00197091,
        0.00200285,
        0.0019993,
        0.00192064,
        0.00189764,
        0.00194214,
        0.0019708,
        0.00190231,
        0.00189051,
        0.00193285,
        0.0019645,
        0.00190362,
        0.00177519,
        0.00176031,
        0.00186906,
        0.00190011,
        0.00190583,
        null,
        0.00231148,
        0.00226384,
        0.00220264,
        0.00212427,
        0.00206385,
        0.00205837,
        0.00194805,
        0.00200407,
        0.00214265,
        0.00225017,
        0.00227359,
        0.00231965,
        0.00236792,
        0.00240294,
        0.00240374,
        0.00236887,
        0.00240908,
        0.00234402,
        0.00241658,
        0.00274622,
        0.003042,
        0.00301057,
        0.00335258,
        0.00329565,
        0.00317731,
        0.00339773,
        0.00388369,
        0.00424541,
        0.00437346,
        0.00478055,
        0.00556833,
        0.00699071,
        0.00984155,
        0.0158285,
        0.0271893,
        0.0339737,
        0.0172778,
        0.0100454,
        0.00743853,
        0.00541211,
        0.00462051,
        0.00408641,
        0.00364953,
        0.00324416,
        0.00290541,
        0.00304123,
        0.0027156,
        0.00266095,
        0.00273946,
        0.00274776,
        0.00274236,
        0.00285659,
        0.00304157,
        0.00297395,
        0.0027559,
        0.002595,
        0.00251764,
        0.00236638,
        0.00230257,
        0.00227075,
        0.00242209,
        0.0024143,
        0.00224115,
        0.00218751,
        0.00213742,
        0.00228653,
        0.0022629,
        0.00242977,
        0.00255641,
        0.00255461,
        0.00235531,
        0.00224077,
        0.00227516,
        0.00238335,
        0.00224709,
        0.00214916,
        0.0020496,
        0.00206293,
        0.00214186,
        0.00217877,
        0.00217791,
        0.00231518,
        0.00229871,
        0.00227942,
        0.00222762,
        0.00226122,
        0.002223,
        0.00211068,
        0.00234603,
        0.00232187,
        0.00223334,
        0.00229557,
        0.00231445,
        0.00226816,
        0.00239878,
        0.00250578,
        0.00234085,
        0.00228636,
        0.0023017,
        0.00236481,
        0.00248271,
        0.00264347,
        0.00272275,
        0.00255944,
        0.00254354,
        0.00256728,
        0.00253363,
        0.00246461,
        0.00241801,
        0.00255956,
        0.00269226,
        0.00277292,
        0.00267031,
        0.00262581,
        0.00268337,
        0.0025561,
        0.00238239,
        0.00233183,
        0.00221658,
        0.0020957,
        0.00211139,
        0.00211102,
        0.00210725,
        0.00223592,
        0.00222567,
        0.0022812,
        0.0023513,
        0.0024448,
        0.00237003,
        0.00226186,
        0.00214923,
        0.00217969,
        0.00218465,
        0.00214727,
        0.00226471,
        0.00224924,
        0.00221082,
        0.00219967,
        0.00230646,
        0.00225143,
        0.00235252,
        0.0023263,
        0.00233488,
        0.00217127,
        0.00208823,
        0.00216604,
        0.00227543,
        0.00240588,
        0.00248304,
        0.00233442,
        0.00217256,
        0.00212993,
        0.00228362,
        0.00235339,
        0.00231801,
        0.00231208,
        0.00238397,
        0.00242568,
        0.0023223,
        0.00216496,
        0.00211566,
        0.00217009,
        0.00214452,
        0.00213782,
        0.00209793,
        0.00206326,
        0.00209706,
        0.00210282,
        0.00215431,
        0.00195967,
        0.00205123,
        0.00207319,
        0.00215238,
        0.00216071,
        0.00207619,
        0.00210833,
        0.00220506,
        0.00212998,
        0.00231441,
        0.00239856,
        0.00241349,
        0.00238481,
        0.00257752,
        0.00262214,
        0.00223898,
        0.00222376,
        0.00230477,
        0.00230858,
        0.00218595,
        0.00226082,
        0.00233654,
        0.00256917,
        0.00276193,
        0.002878,
        0.00292573,
        0.00276431,
        0.0024509,
        0.00245207,
        0.00255755,
        0.00223442,
        0.0027961,
        0.002698,
        0.00287041,
        0.00257081,
        0.00225089,
        0.00211077,
        0.00219786,
        0.00217654,
        0.0021271,
        0.00212695,
        0.00204574,
        0.00208033,
        0.00210341,
        0.00205474,
        0.00204107,
        0.00203998,
        0.00215081,
        0.00229597,
        0.00244746,
        0.00264945,
        0.00265622,
        0.00247679,
        0.00230285,
        0.00240177,
        0.0024356,
        0.00241341,
        0.00251361,
        0.00262434,
        0.00258867,
        0.00240408,
        0.00232702,
        0.00241777,
        0.00238621,
        0.00232469,
        0.00251698,
        0.0027902,
        0.00306334,
        0.00352713,
        0.00374926,
        0.0045186,
        0.00540908,
        0.00633728,
        0.00725796,
        0.00767258,
        0.00781674,
        0.00782047,
        0.00791341,
        0.00879025,
        0.0114905,
        0.0136416,
        0.0132967,
        0.0104696,
        0.00896221,
        0.00855243,
        0.00771236,
        0.00681159,
        0.00662276,
        0.00682561,
        0.00643497,
        0.00586961,
        0.00582332,
        0.00642515,
        0.00696951,
        0.00691737,
        0.00662803,
        0.00623038,
        0.00539002,
        0.00577022,
        0.00615535,
        0.00587742,
        0.00495024,
        0.00432053,
        0.00463328,
        0.00483159,
        0.00449923,
        0.00428833,
        0.00415016,
        0.00423905,
        0.00478884,
        0.00456701,
        0.00439936,
        0.00390066,
        0.00363832,
        0.00347689,
        0.00327609,
        0.00336424,
        0.00395138,
        0.00477365,
        0.00514603,
        0.0046502,
        0.00406553,
        0.00376308,
        0.00347653,
        0.00319795,
        0.00306841,
        0.00279946,
        0.00279954,
        0.00265838,
        0.00256913,
        0.00256861,
        0.00264395,
        0.00276797,
        0.00300805,
        0.00325855,
        0.00317432,
        0.00327492,
        0.00378597,
        0.00382128,
        0.00342557,
        0.00345356,
        0.00317794,
        0.00325959,
        0.00351844,
        0.0040719,
        0.00395958,
        0.00335393,
        0.00291596,
        0.00267118,
        0.00248702,
        0.00246604,
        0.00256791,
        0.00258755,
        0.00237398,
        0.00230221,
        0.00237982,
        0.00229997,
        0.00233391,
        0.00221387,
        0.00215982,
        0.00221362,
        0.00233084,
        0.00230295,
        0.00230414,
        0.00231822,
        0.00226228,
        0.00246124,
        0.00262091,
        0.00263693,
        0.00232278,
        0.00216738,
        0.00208405,
        0.00216068,
        0.00230027,
        0.00233953,
        0.00258544,
        0.00279996,
        0.00258486,
        0.00226444,
        0.00206714,
        0.00207799,
        0.00207285,
        0.00210273,
        0.0022604,
        0.00246002,
        0.00247739,
        0.00237561,
        0.00224839,
        0.00246988,
        0.00250132,
        0.00228637,
        0.00214188,
        0.00214485,
        0.00223225,
        0.00254639,
        0.00237405,
        0.0025439,
        0.00252792,
        0.00237419,
        0.00224459,
        0.00207368,
        0.00208431,
        0.00209743,
        0.00227595,
        0.00232222,
        0.00228479,
        0.00222938,
        0.00206336,
        0.00205238,
        0.00204206,
        0.00258109,
        0.00305127,
        0.00330634,
        0.00312873,
        0.00299344,
        0.00276824,
        0.00233437,
        0.00243973,
        0.00278327,
        0.00316055,
        0.00337777,
        0.00310162,
        0.00243996,
        0.00218808,
        0.00201694,
        0.00184515,
        0.00185468,
        0.00199644,
        0.00200013,
        0.00198332,
        0.00215654,
        0.00262165,
        0.00289303,
        0.00263769,
        0.00239594,
        0.00233718,
        0.00223457,
        0.00214913,
        0.00218491,
        0.00224763,
        0.0023512,
        0.00212282,
        0.00213357,
        0.00215211,
        0.00207333,
        0.00222974,
        0.00239293,
        0.00250649,
        0.00282628,
        0.00302444,
        0.0028262,
        0.00230606,
        0.00200042,
        0.00202932,
        0.00194104,
        0.00198223,
        0.00205076,
        0.00201194,
        0.00200699,
        0.00205733,
        0.00205422,
        0.00210695,
        0.00229436,
        0.00274562,
        0.00340411,
        0.00358277,
        0.00316164,
        0.00254395,
        0.0024144,
        0.00217899,
        0.00214577,
        0.00220443,
        0.00203835,
        0.00204244,
        0.00216444,
        0.00230832,
        0.00228859,
        0.00251816,
        0.00280903,
        0.00295396,
        0.00275299,
        0.00243067,
        0.00269205,
        0.00338359,
        0.00393386,
        0.00402573,
        0.00319097,
        0.00299963,
        0.00312257,
        0.00331339,
        0.00404073,
        0.00532517,
        0.00575641,
        0.00537732,
        0.00511734,
        0.00585786,
        0.00671777,
        0.00892306,
        0.0151264,
        0.0248852,
        0.0296275,
        0.0180919,
        0.0103657,
        0.00721809,
        0.00561564,
        0.00481203,
        0.00441401,
        0.00374943,
        0.00339166,
        0.003621,
        0.00409593,
        0.00455078,
        0.00427589,
        0.00361009,
        0.00311985,
        0.00288895,
        0.00272178,
        0.00267979,
        0.00271099,
        0.00315322,
        0.00334731,
        0.00312289,
        0.00310833,
        0.00335023,
        0.00348973,
        0.00330912,
        0.00334843,
        0.00341552,
        0.00301894,
        0.00274231,
        0.00286345,
        0.00326693,
        0.00383393,
        0.00354736,
        0.00282759,
        0.00249409,
        0.00244202,
        0.0021988,
        0.00227526,
        0.00231995,
        0.00221368,
        0.00209001,
        0.00206563,
        0.00215232,
        0.00218532,
        0.00211605,
        0.00214254,
        0.00218866,
        0.00206221,
        0.00207767,
        0.00213191,
        0.00219348,
        0.00222305,
        0.00233623,
        0.00237258,
        0.00255176,
        0.00306162,
        0.00347366,
        0.00302735,
        0.00279279,
        0.00282968,
        0.00319088,
        0.00346929,
        0.0030638,
        0.00263468,
        0.0023908,
        0.00236035,
        0.00242691,
        0.00231085,
        0.00223292,
        0.00244398,
        0.00289053,
        0.00409794,
        0.00559364,
        0.00556474,
        0.00506333,
        0.00442981,
        0.00360158,
        0.00313865,
        0.00354985,
        0.00379455,
        0.00404614,
        0.00397195,
        0.00370328,
        0.00344798,
        0.00286407,
        0.00245449,
        0.00223216,
        0.00218947,
        0.00207502,
        0.0021476,
        0.00226744,
        0.00224786,
        0.00218888,
        0.00223101,
        0.00223172,
        0.00220662,
        0.00217591,
        0.00205121,
        0.0021581,
        0.0021942,
        0.00235312,
        0.00219248,
        0.00215701,
        0.00334239,
        0.00313811,
        0.00272175,
        0.00229901,
        0.00224546,
        0.00231932,
        0.00231277,
        0.00228329,
        0.00220561,
        0.00224431,
        0.00240455,
        0.00254204,
        0.00291212,
        0.00395731,
        0.00547057,
        0.00576888,
        0.00500105,
        0.00436525,
        0.00326883,
        0.0026492,
        0.00240899,
        0.0022846,
        0.00231146,
        0.00232865,
        0.00224746,
        0.00216484,
        0.00221377,
        0.00230289,
        0.00224513,
        0.0021945,
        0.00224896,
        0.00231431,
        0.00228045,
        0.00216512,
        0.00217784,
        0.00225715,
        0.00212515,
        0.00207283,
        0.00204543,
        0.00211879,
        0.0023316,
        0.00220484,
        0.00220833,
        0.00222303,
        0.00220102,
        0.00236705,
        0.00277519,
        0.00349956,
        0.00482282,
        0.00535092,
        0.00413853,
        0.00307812,
        0.00272049,
        0.00247183,
        0.00268204,
        0.00325892,
        0.0040711,
        0.00357753,
        0.00312142,
        0.00264848,
        0.00236524,
        0.00243206,
        0.00238696,
        0.00227963,
        0.00233919,
        0.00295393,
        0.00427524,
        0.00556245,
        0.00565152,
        0.0040883,
        0.00323769,
        0.00371534,
        0.00418231,
        0.00353901,
        0.00278987,
        0.00251943,
        0.00276202,
        0.00347525,
        0.00366742,
        0.00315225,
        0.00236229,
        0.00229513,
        0.00245619,
        0.00282421,
        0.00340126,
        0.00379162,
        0.00331669,
        0.002753,
        0.00260655,
        0.00258189,
        0.00251674,
        0.00250597,
        0.00258097,
        0.00243352,
        0.00245832,
        0.00234317,
        0.0023222,
        0.00220454,
        0.0021374,
        0.0021459,
        0.00216355,
        0.00218317,
        0.00212316,
        0.0021439,
        0.00201394,
        0.0019805,
        0.00208899,
        0.00204713,
        0.00201034,
        0.00206408,
        0.00209305,
        0.00228222,
        0.00221174,
        0.00211996,
        0.00197629,
        0.00201003,
        0.00202148,
        0.00223641,
        0.00240624,
        0.00280896,
        0.00318674,
        0.00333854,
        0.00330589,
        0.00316409,
        0.00295349,
        0.0025108,
        0.00209795,
        0.00206481,
        0.00214972,
        0.00230362,
        0.0027602,
        0.00325444,
        0.00322497,
        0.00274377,
        0.00250229,
        0.00256999,
        0.00323557,
        0.0046804,
        0.005979,
        0.00536103,
        0.00366634,
        0.00276884,
        0.00246676,
        0.00218214,
        0.00226201,
        0.00220536,
        0.00214198,
        0.00204648,
        0.00193426,
        0.00188811,
        0.00184333,
        0.00184718,
        0.00190471,
        0.00186135,
        0.00203284,
        0.00213308,
        0.00216946,
        0.00205369,
        0.00223027,
        0.00238029,
        0.00314883,
        0.00463451,
        0.0051092,
        0.0042418,
        0.00342051,
        0.00276994,
        0.00250615,
        0.00242745,
        0.00235861,
        0.0023946,
        0.00281855,
        0.0036478,
        0.00405824,
        0.00419588,
        0.00469924,
        0.00611202,
        0.00629506,
        0.00486766,
        0.00387644,
        0.00399424,
        0.00386337,
        0.00295513,
        0.00294048,
        0.00243667,
        0.00229401,
        0.0025124,
        0.00232731,
        0.00234548,
        0.0022263,
        0.00227067,
        0.0025324,
        0.00280572,
        0.00354611,
        0.00420801,
        0.0037557,
        0.0033845,
        0.00336879,
        0.00439712,
        0.0055081,
        0.00629453,
        0.0049397,
        0.00405366,
        0.00330039,
        0.00307606,
        0.00274919,
        0.00248766,
        0.00242603,
        0.00256081,
        0.00229288,
        0.00221393,
        0.00227,
        0.002116,
        0.00211866,
        0.00207978,
        0.00215189,
        0.00217125,
        0.00216322,
        0.00223484,
        0.00227223,
        0.0022816,
        0.00227449,
        0.00218748,
        0.00212685,
        0.00202481,
        0.00199646,
        0.00184122,
        0.00209207,
        0.00209768,
        0.00225075,
        0.00256728,
        0.00294294,
        0.00354979,
        0.0040566,
        0.00443212,
        0.00439878,
        0.00349317,
        0.00297007,
        0.00296724,
        0.00311281,
        0.00287053,
        0.00228188,
        0.00202098,
        0.00205593,
        0.00201018,
        0.00203555,
        0.00213923,
        0.00218658,
        0.00211829,
        0.00210106,
        0.00241731,
        0.0030119,
        0.00339948,
        0.00295905,
        0.0024891,
        0.00216244,
        0.00212254,
        0.0022419,
        0.00225061,
        0.002302,
        0.00228067,
        0.00237859,
        0.00246183,
        0.00266103,
        0.00275854,
        0.00290135,
        0.00293855,
        0.00297191,
        0.00337397,
        0.00408998,
        0.00525182,
        0.00628868,
        0.00582998,
        0.00459245,
        0.00504923,
        0.00610531,
        0.00696241,
        0.00730015,
        0.00815821,
        0.00765177,
        0.00631422,
        0.00569737,
        0.00606659,
        0.00573597,
        0.00555675,
        0.00454524,
        0.00327328,
        0.002967,
        0.00314303,
        0.00322476,
        0.00338557,
        0.00312337,
        0.00289498,
        0.00260828,
        0.00246463,
        0.00231505,
        0.00231997,
        0.00275455,
        0.00328464,
        0.00342669,
        0.00286006,
        0.0023065,
        0.00216542,
        0.00216538,
        0.00228194,
        0.00232993,
        0.00220608,
        0.00226683,
        0.00216229,
        0.00215589,
        0.00217928,
        0.00231733,
        0.00250916,
        0.00285722,
        0.00359172,
        0.00396926,
        0.00330354,
        0.00291874,
        0.00266618,
        0.00275123,
        0.00296354,
        0.00308066,
        0.00313419,
        0.00318462,
        0.00353405,
        0.00380793,
        0.00404361,
        0.00494646,
        0.00646639,
        0.00875738,
        0.0166221,
        0.0356566,
        0.0222742,
        0.0202975,
        0.0190385,
        0.0131244,
        0.0077371,
        0.00535473,
        0.00474025,
        0.00476085,
        0.00491223,
        0.0045271,
        0.0047447,
        0.00445722,
        0.00401313,
        0.003731,
        0.00302409,
        0.0028635,
        0.00279289,
        0.00272125,
        0.00258782,
        0.00269783,
        0.00367986,
        0.00398618,
        0.00335321,
        0.00281297,
        0.0026378,
        0.00255948,
        0.00235839,
        0.00242538,
        0.00236549,
        0.00229899,
        0.00237749,
        0.00231645,
        0.00225065,
        0.00224312,
        0.00226918,
        0.00247883,
        0.00272861,
        0.00370792,
        0.00439353,
        0.00481801,
        0.00535682,
        0.00506883,
        0.00402096,
        0.00308793,
        0.00267746,
        0.00247137,
        0.00240692,
        0.00218162,
        0.00225081,
        0.00221235,
        0.00221801,
        0.00226753,
        0.00226354,
        0.00219744,
        0.00217133,
        0.00237233,
        0.0026,
        0.00266954,
        0.00268901,
        0.00274896,
        0.00266879,
        0.00258479,
        0.00279896,
        0.003053,
        0.00374497,
        0.00340972,
        0.00283325,
        0.00244154,
        0.00266209,
        0.00254734,
        0.00272393,
        0.00269456,
        0.00319054,
        0.00387546,
        0.00410952,
        0.00362537,
        0.00276405,
        0.00293626,
        0.00300547,
        0.00299339,
        0.00298569,
        0.00266972,
        0.00256027,
        0.00241345,
        0.00243701,
        0.00238542,
        0.00249693,
        0.00250494,
        0.00256171,
        0.00254303,
        0.00263875,
        0.00316496,
        0.00388844,
        0.00505076,
        0.00512276,
        0.00414876,
        0.00379444,
        0.0033356,
        0.00342154,
        0.00317279,
        0.0028183,
        0.00295284,
        0.00286442,
        0.00368113,
        0.00517802,
        0.00491047,
        0.00362997,
        0.00291467,
        0.00260552,
        0.00267543,
        0.00274011,
        0.00261266,
        0.0025229,
        0.00259384,
        0.00247261,
        0.00310928,
        0.00411936,
        0.00467873,
        0.00401275,
        0.003324,
        0.00326614,
        0.00312025,
        0.0030405,
        0.00278296,
        0.00292409,
        0.00311675,
        0.0032395,
        0.00335873,
        null,
        0.00453176,
        0.00334292,
        0.0032844,
        0.00336234,
        0.00307207,
        0.00297159,
        0.00285208,
        0.00274096,
        0.00301475,
        0.00315376,
        0.00304417,
        0.00283177,
        0.00315272,
        0.00423377,
        0.00462238,
        0.00400221,
        0.00308911,
        0.00263898,
        0.00258044,
        0.00234235,
        0.00230676,
        0.00239861,
        0.00230534,
        0.00222583,
        0.00209646,
        0.00206656,
        0.00214243,
        0.00241208,
        0.00257952,
        0.00263148,
        0.00251694,
        0.00249097,
        0.00246641,
        0.00247143,
        0.00250123,
        0.00287673,
        0.00401791,
        0.00514341,
        0.00540049,
        0.00491098,
        0.00430734,
        0.00337951,
        0.00317728,
        0.00375481,
        0.00539621,
        0.00947257,
        0.0126989,
        0.0106453,
        0.00530358,
        0.00324004,
        0.00264261,
        0.00252788,
        0.00249771,
        0.00255988,
        0.00242198,
        0.00229785,
        0.00229479,
        0.00257203,
        0.003183,
        0.00422183,
        0.00477242,
        0.0050959,
        0.0054479,
        0.00477419,
        0.00346644,
        0.00281892,
        0.00256957,
        0.00240445,
        0.00243749,
        0.00236819,
        0.00233568,
        0.00228128,
        0.00257019,
        0.0023901,
        0.00230067,
        0.00229385,
        0.00232171,
        0.00282617,
        0.00383507,
        0.00512649,
        0.00571076,
        null,
        0.00228782,
        0.00261171,
        0.00290112,
        0.00306304,
        0.00275065,
        0.00271623,
        0.0026969,
        0.00277174,
        0.0031171,
        0.00408328,
        0.00550111,
        0.00557158,
        0.00396266,
        0.0033724,
        0.00323438,
        0.00398149,
        0.00411737,
        0.00362813,
        0.00306508,
        0.0026641,
        0.00261103,
        0.0024848,
        0.0024068,
        0.00251614,
        0.00255584,
        0.00238291,
        0.00244035,
        0.00253299,
        0.00257999,
        0.00249798,
        0.00254866,
        0.00263645,
        0.0026462,
        0.0028171,
        0.0029576,
        0.00277114,
        0.00266366,
        0.00267398,
        0.00271777,
        0.00283942,
        0.00298225,
        0.00287404,
        0.002805,
        0.00278862,
        0.00270786,
        0.00333276,
        0.00437238,
        0.00464046,
        0.00422829,
        0.00380874,
        0.00312157,
        0.00267283,
        0.00269943,
        0.00276133,
        0.0027377,
        0.00259238,
        0.00275531,
        0.00317179,
        0.00351563,
        0.00330148,
        0.00281751,
        0.00260101,
        0.00259389,
        0.00272936,
        0.00298344,
        0.00347061,
        0.00463629,
        0.00624428,
        0.00649858,
        0.00547524,
        0.00480027,
        0.00413319,
        0.00345024,
        0.00290519,
        0.0028207,
        0.0030292,
        0.0031385,
        0.00322298,
        0.00352632,
        0.00406244,
        0.00416271,
        0.00438782,
        0.0046003,
        0.00538916,
        0.00784898,
        0.00987517,
        0.0102947,
        0.0091325,
        0.00853833,
        0.00738083,
        0.00609892,
        0.00591688,
        0.0051597,
        0.00408229,
        0.00341125,
        0.00319993,
        0.00326967,
        0.00313665,
        0.00302999,
        0.00305051,
        0.00327541,
        0.00397174,
        0.00531733,
        0.00521254,
        0.00375038,
        0.0029796,
        0.00278918,
        0.00272903,
        0.00288133,
        0.00277979,
        0.00269306,
        0.00257466,
        0.00253826,
        0.00245535,
        0.00254425,
        0.00234665,
        0.00238057,
        0.00245971,
        0.00265782,
        0.00266063,
        0.00276651,
        0.0030054,
        0.00346177,
        0.00503818,
        0.00644787,
        0.00568493,
        0.00411178,
        0.00344087,
        0.00317885,
        0.00286239,
        0.00299058,
        0.00340476,
        0.00450476,
        0.00699419,
        0.00904786,
        0.00857159,
        0.006791,
        0.00465532,
        0.0033465,
        0.00309039,
        0.00291442,
        0.00274328,
        0.00257151,
        0.00262641,
        0.00286618,
        0.00337256,
        0.0035999,
        0.00332629,
        0.00304093,
        0.00282285,
        0.00290111,
        0.00286447,
        0.00258537,
        0.00294235,
        0.00286698,
        0.00285211,
        0.00276148,
        0.00258667,
        0.00249944,
        0.00250673,
        0.00255558,
        0.00247966,
        0.00267347,
        0.00262752,
        0.00275471,
        0.00304091,
        0.00409211,
        0.00566465,
        0.00624306,
        0.00519307,
        0.00394051,
        0.00327017,
        0.00342729,
        0.00307349,
        0.00328626,
        0.00326751,
        0.00294277,
        0.00277258,
        0.00273872,
        0.00267159,
        0.00257192,
        0.00277482,
        0.00288227,
        0.00304781,
        0.0029679,
        0.00305214,
        0.00288423,
        0.00278504,
        0.0027081,
        0.00273551,
        0.00266329,
        0.00255191,
        0.00248237,
        0.00277574,
        0.00258017,
        0.00284737,
        0.00344064,
        0.00468063,
        0.00519777,
        0.00385477,
        0.00293618,
        0.00282161,
        0.0029387,
        0.00308758,
        0.00332386,
        0.00350991,
        0.00301091,
        0.00267837,
        0.00272375,
        0.00265859,
        0.00297161,
        0.00303975,
        0.00280416,
        0.00261514,
        0.0026701,
        0.00262599,
        0.00270501,
        0.0031821,
        0.00421356,
        0.00665178,
        0.00737697,
        0.0054813,
        0.0038996,
        0.00297847,
        0.00288286,
        0.00279708,
        0.00280206,
        0.00279925,
        0.00300428,
        0.00340389,
        0.00466226,
        0.00559517,
        0.00462112,
        0.00344973,
        0.00297356,
        0.00288956,
        0.00278308,
        0.00281836,
        0.0030794,
        0.00317708,
        0.00334755,
        0.00339344,
        0.00475467,
        0.00596968,
        0.00526368,
        0.00396037,
        0.00327293,
        0.0029556,
        0.00296157,
        0.00295368,
        0.00307246,
        0.00358237,
        0.0037424,
        0.00401904,
        0.00425954,
        0.00462838,
        0.00519134,
        0.00492563,
        0.00443602,
        0.00407034,
        0.00380621,
        0.00350238,
        0.00357982,
        0.0041972,
        0.00530114,
        0.00614233,
        0.00484395,
        0.00357907,
        0.00320626,
        0.00313791,
        0.00304522,
        0.00328237,
        0.00371802,
        0.00377026,
        0.00365472,
        0.00367923,
        0.00383923,
        0.00425426,
        0.0047368,
        0.00481057,
        0.00414661,
        0.00360754,
        0.0036502,
        0.00419681,
        0.00557106,
        0.00677779,
        0.005979,
        0.00419519,
        0.00354917,
        0.00319448,
        0.0029281,
        0.00277041,
        0.00269588,
        0.00278018,
        0.00316316,
        0.00358766,
        0.0044327,
        0.0060444,
        0.0063863,
        0.00423463,
        0.00335963,
        0.00300744,
        0.0029495,
        0.00277676,
        0.00283531,
        0.00288813,
        0.00288562,
        0.00270639,
        0.00262415,
        0.00269695,
        0.00273764,
        0.00272165,
        0.0026334,
        0.00263766,
        0.00267169,
        0.0026743,
        0.00274568,
        0.00288729,
        0.00303988,
        0.00283943,
        0.00291108,
        0.00310902,
        0.0033557,
        0.00410111,
        0.00597344,
        0.00676923,
        0.00555936,
        0.00415444,
        0.00343492,
        0.0030915,
        0.00318633,
        0.00317519,
        0.00347141,
        0.00350592,
        0.00338783,
        0.00336669,
        0.00336169,
        0.00349133,
        0.00373398,
        0.00403447,
        0.00405449,
        0.00433724,
        0.00489852,
        0.00554605,
        0.00593882,
        0.00725817,
        0.00999009,
        0.0164186,
        0.0264503,
        0.0317759,
        0.0186355,
        0.0133514,
        0.0106421,
        0.0105005,
        0.0104089,
        0.00828553,
        0.00712898,
        0.00607143,
        0.00482749,
        0.00429718,
        0.00407801,
        0.00387611,
        0.00361846,
        0.00348328,
        0.00345437,
        0.00326756,
        0.00320666,
        0.00329122,
        0.0031938,
        0.00321603,
        0.00336431,
        0.00368715,
        0.00404281,
        0.00396582,
        0.00364187,
        0.00337863,
        0.00347167,
        0.0043572,
        0.00492816,
        0.00515365,
        0.00442137,
        0.00507049,
        0.00555951,
        0.00468723,
        0.00371883,
        0.00329323,
        0.00307945,
        0.00293537,
        0.00296547,
        0.00313937,
        0.00314702,
        0.00324641,
        0.00292817,
        0.00307391,
        0.00313255,
        0.00325314,
        0.00342698,
        0.00363545,
        0.00423512,
        0.00495807,
        0.00511971,
        0.00553272,
        0.00667233,
        0.00641385,
        0.0058974,
        0.00555988,
        0.00710345,
        0.00714485,
        0.00852425,
        0.0100841,
        0.0148378,
        0.0198039,
        0.0319766,
        0.0476198,
        0.0321813,
        0.0210508,
        0.015784,
        0.0146387,
        0.0131125,
        0.0131843,
        0.0136963,
        0.0096572,
        0.00704432,
        0.00614003,
        0.00628321,
        0.00695963,
        0.00786449,
        0.00646141,
        0.00505026,
        0.00452044,
        0.00497664,
        0.00526653,
        0.00466056,
        0.00383175,
        0.00344157,
        0.00341961,
        0.00411955,
        0.00500996,
        0.00576776,
        0.00412949,
        0.00342745,
        0.00341521,
        0.00321563,
        0.00316959,
        0.00312678,
        0.00301855,
        0.00294045,
        0.00331823,
        0.00345022,
        0.00296699,
        0.00292228,
        0.00271822,
        0.00295663,
        0.00336132,
        0.00404787,
        0.00446268,
        0.00396189,
        0.00338093,
        0.00295983,
        0.0030404,
        0.00300693,
        0.00318427,
        0.00304255,
        0.00288119,
        0.0029755,
        0.00307328,
        0.00321117,
        0.0031912,
        0.00330981,
        0.00335537,
        0.00364105,
        0.00407379,
        0.00444752,
        0.00559729,
        0.00638796,
        0.00702522,
        0.00698031,
        0.00667652,
        0.00573459,
        0.00513732,
        0.00516682,
        0.00536848,
        0.00473797,
        0.00354767,
        0.00319474,
        0.00311022,
        0.00303063,
        0.00308272,
        0.00298718,
        0.00301269,
        0.00300437,
        0.00288415,
        0.00290613,
        0.00291537,
        0.00282449,
        0.00278533,
        0.00269404,
        0.00254574,
        0.00258359,
        0.00259931,
        0.00261178,
        0.0025279,
        0.00255546,
        0.00267795,
        0.00264089,
        0.00257431,
        0.00265285,
        0.00256227,
        0.0025512,
        0.00255439,
        0.00258646,
        0.00259281,
        0.0025347,
        0.0023911,
        0.00257479,
        0.00283726,
        0.00309211,
        0.00338453,
        0.00310063,
        0.00282539,
        0.00262281,
        0.00272136,
        0.00284647,
        0.00290018,
        0.00290887,
        0.0029044,
        0.00284404,
        0.00312782,
        0.00350999,
        0.00340771,
        0.00333238,
        0.00326778,
        0.00328716,
        0.00308387,
        0.00291446,
        0.00286731,
        0.00286417,
        0.00295818,
        0.00332803,
        0.00365065,
        0.00494387,
        0.00259019,
        0.00239632,
        0.00262796,
        0.0026267,
        0.00262747,
        0.00249327,
        0.00258209,
        0.00256684,
        0.00264978,
        0.00264007,
        0.00260667,
        0.00262183,
        0.00257199,
        0.00260259,
        0.0025447,
        0.00266371,
        0.00265504,
        0.0026549,
        0.00283873,
        0.00310822,
        0.00328383,
        0.00298282,
        0.00268273,
        0.00247818,
        0.00269689,
        0.00284789,
        0.0027017,
        0.00266541,
        0.0026577,
        0.00256732,
        0.00253635,
        0.00248758,
        0.00265974,
        0.00289629,
        0.00279197,
        0.00265881,
        0.00268172,
        0.0025323,
        0.0027065,
        0.00289925,
        0.0031388,
        0.00331576,
        0.00321511,
        0.00340792,
        0.00355222,
        0.00366004,
        0.00419044,
        0.00433807,
        0.00526394,
        0.00519795,
        0.00490929,
        0.00439267,
        0.00409414,
        0.00385705,
        0.00362397,
        0.00334079,
        0.00326466,
        0.00348033,
        0.00369134,
        0.00418341,
        0.00438814,
        0.00380266,
        0.00380293,
        0.00388158,
        0.00396762,
        0.00348565,
        0.00291867,
        0.00285792,
        0.00272909,
        0.00285959,
        0.00284409,
        0.00276114,
        0.00284285,
        0.00267309,
        0.00264311,
        0.00261596,
        0.00265363,
        0.00261996,
        0.0025573,
        0.00256941,
        0.0026351,
        0.00260479,
        0.00299646,
        0.00333186,
        0.0030957,
        0.00281954,
        0.00272612,
        0.00271965,
        0.00265187,
        0.00254539,
        0.00266401,
        0.00261248,
        0.00266161,
        0.00259139,
        0.00253273,
        0.00246673,
        0.00235876,
        0.00240833,
        0.00243717,
        0.00254032,
        0.00264153,
        0.00261998,
        0.00258883,
        0.00272201,
        0.00265767,
        0.00262389,
        0.00258146,
        0.00252014,
        0.0026034,
        0.00270846,
        0.0027413,
        0.00268974,
        0.00255968,
        0.00238169,
        0.00244352,
        0.00270068,
        0.00260798,
        0.00260374,
        0.00269795,
        0.00256333,
        0.00261927,
        0.00265629,
        0.00256527,
        0.00252794,
        0.00270683,
        0.00267575,
        0.00267431,
        0.00274258,
        0.00274072,
        0.00283327,
        0.0026236,
        0.00254189,
        0.00273383,
        0.00277122,
        0.00262732,
        0.00254669,
        0.00264907,
        0.00277655,
        0.00265609,
        0.00258257,
        0.00269911,
        0.00262768,
        0.00269636,
        0.00268382,
        0.00259849,
        0.00262347,
        0.00268179,
        0.00253928,
        0.00258611,
        0.00253532,
        0.00266955,
        0.00247246,
        0.00253983,
        0.00256165,
        0.00276466,
        0.00272263,
        0.00275641,
        0.00280846,
        0.00280748,
        0.00299748,
        0.00332708,
        0.00348832,
        0.00326115,
        0.00335979,
        0.0036583,
        0.00379258,
        0.00369604,
        0.00309545,
        0.00285302,
        0.00284382,
        0.00291138,
        0.00290188,
        0.0029414,
        0.00298822,
        0.00309897,
        0.00292726,
        0.00276418,
        0.00256889,
        0.00265066,
        0.00265001,
        0.00261053,
        0.00262689,
        0.00259248,
        0.00254901,
        0.00252703,
        0.00264012,
        0.0025607,
        0.00262525,
        0.00240449,
        0.00261963,
        0.00247775,
        0.00257608,
        0.00257559,
        0.00255582,
        0.00250644,
        0.00256333,
        0.0026725,
        0.00271058,
        0.00284474,
        0.00272756,
        0.00261089,
        0.00266322,
        0.00283049,
        0.00278143,
        0.00262849,
        0.0026484,
        0.00267742,
        0.00277447,
        0.00283568,
        0.00272383,
        0.00270013,
        0.00286897,
        0.00286744,
        0.00280839,
        0.00292569,
        0.00294926,
        0.00300201,
        0.00284461,
        0.0029343,
        0.00296509,
        0.00306429,
        0.0032014,
        0.00341722,
        0.00370317,
        0.00413894,
        0.0047022,
        0.00513295,
        0.00521303,
        0.00508476,
        0.00478916,
        0.00449861,
        0.0040023,
        0.00358508,
        0.00376299,
        0.00347507,
        0.00338593,
        0.00345133,
        0.00357509,
        0.00347675,
        0.00353932,
        0.00362868,
        0.00378753,
        0.00408649,
        0.0043215,
        0.00481004,
        0.00567844,
        0.00665239,
        0.00778921,
        0.00899129,
        0.0125336,
        0.0167855,
        0.031788,
        0.0302866,
        0.0173964,
        0.0111763,
        0.00846914,
        0.00654109,
        0.00588308,
        0.00487856,
        0.00441661,
        0.00427166,
        0.0040171,
        0.0036476,
        0.00334482,
        0.00342007,
        0.00324325,
        0.00324114,
        0.00308752,
        0.00313822,
        0.00304661,
        0.00297747,
        0.00301111,
        0.00293922,
        0.00298659,
        0.00292223,
        0.00294272,
        0.00281155,
        0.00296662,
        0.00309634,
        0.00290938,
        0.00275346,
        0.00278183,
        0.00295753,
        0.00283442,
        0.00291292,
        0.00267418,
        0.00258777,
        0.00270213,
        0.00262229,
        0.00263696,
        0.00288707,
        0.00282312,
        0.00275383,
        0.00257493,
        0.0028337,
        0.0027934,
        0.00271341,
        0.00259241,
        0.00255788,
        0.00248829,
        0.00252712,
        0.00253357,
        0.00260991,
        0.00250966,
        0.00255031,
        0.00253077,
        0.00263282,
        0.00274566,
        0.00275169,
        0.00262779,
        0.00257654,
        0.00264527,
        0.00265583,
        0.00258333,
        0.00278193,
        0.00284446,
        0.00282262,
        0.0025154,
        0.002532,
        0.00258218,
        0.00261495,
        0.00264364,
        0.00253129,
        0.00247488,
        0.00258496,
        0.00254376,
        0.0026037,
        0.00261782,
        0.0026536,
        0.00275437,
        0.00273439,
        0.00294186,
        0.00278981,
        0.00297292,
        0.00311969,
        0.00386292,
        0.00424549,
        0.00411116,
        0.00367534,
        0.00331352,
        0.00338044,
        0.00322698,
        0.0031846,
        0.00278664,
        0.00273169,
        0.00270085,
        0.00271193,
        0.00264683,
        0.00246189,
        0.00261045,
        0.00277917,
        0.0027373,
        0.00272527,
        0.00260158,
        0.00254536,
        0.00265986,
        0.00266715,
        0.00284185,
        0.00315365,
        0.00362853,
        0.00434581,
        0.00446331,
        0.0040368,
        0.0036434,
        0.00385938,
        0.00389334,
        0.00351818,
        0.00306161,
        0.00278056,
        0.0026255,
        0.0027967,
        0.00311025,
        0.00327231,
        0.00355038,
        0.00349958,
        0.00312438,
        0.00292903,
        0.00282525,
        0.00286885,
        0.00367326,
        0.00460728,
        0.00552326,
        0.00489482,
        0.00442376,
        0.00451928,
        0.00542924,
        0.00666849,
        0.00754281,
        0.00839483,
        0.0071285,
        0.00566139,
        0.0047729,
        0.00424579,
        0.00417233,
        0.00428844,
        0.00471271,
        0.00505137,
        0.00460852,
        0.00362774,
        0.00298885,
        0.00288932,
        0.00293736,
        0.00313847,
        0.00324068,
        0.00350505,
        0.00415077,
        0.00428982,
        0.00360778,
        0.00311066,
        0.00271883,
        0.00267057,
        0.0026143,
        0.0024542,
        0.00263083,
        0.00236597,
        0.00258107,
        0.00311341,
        0.0035165,
        0.003903,
        0.00350835,
        0.00317016,
        0.00371371,
        0.00446445,
        0.00493175,
        0.00436324,
        0.00322402,
        0.00280332,
        0.00290915,
        0.00309251,
        0.00315127,
        0.00396452,
        0.00529319,
        0.00517392,
        0.00394021,
        0.0032178,
        0.00294565,
        0.00299069,
        0.00285433,
        0.00278935,
        null,
        0.00319155,
        0.00280716,
        0.00258648,
        0.00250302,
        0.00244314,
        0.00265494,
        0.00283088,
        0.00301785,
        0.00325714,
        0.0037706,
        0.00401966,
        0.00364996,
        0.00315361,
        0.00307027,
        0.002768,
        0.002855,
        0.00287972,
        0.00286298,
        0.00282956,
        0.00319793,
        0.00422533,
        0.00530026,
        0.00527891,
        0.00433121,
        0.00397557,
        0.00396743,
        0.00381941,
        0.00338817,
        0.00299665,
        0.00299774,
        0.0040159,
        0.00491241,
        0.00467857,
        0.00364581,
        0.00291597,
        0.00290384,
        0.00288265,
        0.00274359,
        0.00290417,
        0.00280804,
        0.00299639,
        0.00389042,
        0.00553521,
        0.00538917,
        0.00415781,
        0.00343724,
        0.00311536,
        0.00328829,
        0.00331771,
        0.0030981,
        0.00301499,
        0.00308799,
        0.00340594,
        0.00367483,
        0.00408473,
        0.00487944,
        0.00530516,
        0.00483722,
        0.00395362,
        0.00376155,
        0.00398534,
        0.00403254,
        0.00436975,
        0.00442044,
        0.00359615,
        0.00315122,
        0.00303806,
        0.00291767,
        0.00285397,
        0.00313321,
        0.00352396,
        0.00402315,
        0.00401799,
        0.00390514,
        0.00362697,
        0.00316482,
        0.00291622,
        null,
        0.00545908,
        0.00470345,
        0.0044741,
        0.00388368,
        0.00361857,
        0.00412529,
        0.00379114,
        0.00343477,
        0.00388154,
        0.00432553,
        0.0039116,
        0.00397889,
        0.00358388,
        0.00316815,
        0.003051,
        0.00310683,
        0.00303092,
        0.00296682,
        0.00313019,
        0.00317789,
        0.00314551,
        0.00307327,
        0.00301648,
        0.00343373,
        0.00429352,
        0.00522028,
        0.0055245,
        0.00441398,
        0.00375165,
        0.0034463,
        0.00372573,
        0.00381444,
        0.00441377,
        0.00465127,
        0.00429874,
        0.00377174,
        0.00337739,
        0.00298139,
        0.00287634,
        0.0029485,
        0.00301785,
        0.00295753,
        0.00280049,
        0.00290551,
        0.00268085,
        0.00258087,
        0.00258925,
        0.0026327,
        0.0027239,
        0.0028188,
        0.00269097,
        0.0028951,
        0.00301744,
        0.00301621,
        0.0029067,
        0.00295308,
        0.00297797,
        0.00299103,
        0.00302409,
        0.00315211,
        0.00359102,
        0.00390028,
        0.00362796,
        0.00325564,
        0.00288367,
        0.0028509,
        0.00296436,
        0.0027854,
        0.00278017,
        0.00296576,
        0.00290991,
        0.00276879,
        0.00259354,
        0.00281184,
        0.0028929,
        0.00292558,
        0.00289686,
        0.00304069,
        0.00335851,
        0.00370762,
        0.00439277,
        0.0059603,
        0.00744079,
        0.00685616,
        0.00574673,
        0.00466956,
        0.00371209,
        0.00341584,
        0.00318206,
        0.00289107,
        0.00272923,
        0.00254223,
        0.00230669,
        0.00225484,
        0.00231705,
        0.00252555,
        0.00265918,
        0.00270896,
        0.00272373,
        0.00273118,
        0.00263098,
        0.00271103,
        0.0027177,
        0.00294844,
        0.00385765,
        0.00591884,
        0.00752446,
        0.00658592,
        0.00511566,
        0.00420066,
        0.00362199,
        0.00317817,
        0.00277922,
        0.00263149,
        0.0026498,
        0.00271291,
        0.00253803,
        0.0026395,
        0.00288737,
        0.00275788,
        0.00269532,
        0.00252911,
        0.0025081,
        0.00259113,
        0.00261022,
        0.00266117,
        0.00260744,
        0.00261388,
        0.00270115,
        0.00313408,
        0.00383652,
        0.00415327,
        0.00359431,
        0.00311368,
        0.00325277,
        0.00322087,
        0.00319059,
        0.00295332,
        0.0025692,
        0.00247689,
        0.00256786,
        0.00261,
        0.00265489,
        0.00261436,
        0.00253923,
        0.00255703,
        0.0026155,
        0.00262376,
        0.0026796,
        0.00275936,
        0.00296609,
        0.00315449,
        0.00321839,
        0.00298136,
        0.00303987,
        0.00288857,
        0.00286012,
        0.00280121,
        0.00280017,
        0.00273317,
        0.00274403,
        0.00269994,
        0.00272166,
        0.00287237,
        0.00331564,
        0.00413403,
        0.00394722,
        0.00320845,
        0.00284766,
        0.0027338,
        0.00266778,
        0.00268587,
        0.00266496,
        0.00246627,
        0.00402558,
        0.00288386,
        0.00276677,
        0.00280801,
        0.00281513,
        0.00265816,
        0.00267447,
        0.00259294,
        0.00257902,
        0.00253666,
        0.00244362,
        0.00249015,
        0.00249127,
        0.00248675,
        0.00241035,
        0.00251296,
        0.00272563,
        0.00294445,
        0.00288214,
        0.00253498,
        0.00233743,
        0.00233698,
        0.00246392,
        0.00256595,
        0.00287192,
        0.00340481,
        0.0029209,
        0.00256918,
        0.00271103,
        0.0027195,
        0.0029203,
        0.00342281,
        0.00483382,
        0.0063354,
        0.00575343,
        0.00417272,
        0.00334181,
        0.00305861,
        0.00271296,
        0.00250152,
        0.00246642,
        0.00245917,
        0.00245196,
        0.0024777,
        0.00243791,
        0.00242208,
        0.00228377,
        0.00226364,
        0.00240194,
        0.00257317,
        0.00268227,
        0.0026708,
        0.00259241,
        0.0024469,
        0.00255424,
        0.00250975,
        0.00269293,
        0.0033994,
        0.0041809,
        0.00486292,
        0.00430532,
        0.00326467,
        0.00271327,
        0.00266694,
        0.00260635,
        0.00255612,
        0.00258121,
        0.00256738,
        0.00254455,
        0.00267785,
        0.00279383,
        0.00273646,
        0.00271599,
        0.00269051,
        0.00270458,
        0.00284195,
        0.0030098,
        0.00307614,
        0.00310945,
        0.00313916,
        0.0035106,
        0.00392746,
        0.00397102,
        0.00371777,
        0.00404193,
        0.00446407,
        0.0040858,
        0.0034597,
        0.0029634,
        0.00296642,
        0.00299387,
        0.0029673,
        0.0029043,
        0.00319395,
        0.00384869,
        0.00408692,
        0.00356199,
        0.00295103,
        0.00263778,
        0.00267302,
        0.00275075,
        0.00274555,
        0.00269724,
        0.00267316,
        0.00260815,
        0.0026836,
        0.00284432,
        0.00274128,
        0.00275085,
        0.00258693,
        0.00261467,
        0.00277869,
        0.00298054,
        0.00313365,
        0.00381676,
        0.00471863,
        0.00558926,
        0.0048595,
        0.00346474,
        0.00285854,
        0.00269329,
        0.00286198,
        0.00295265,
        0.00304727,
        0.00308491,
        0.00292115,
        0.00300687,
        0.00257298,
        0.00264611,
        0.00265971,
        0.00273756,
        0.00277239,
        0.00259485,
        0.00248488,
        0.0026208,
        0.0027152,
        0.0026947,
        0.00278885,
        0.00282778,
        0.00307477,
        0.00350893,
        0.00370292,
        0.00330788,
        0.00338586,
        0.00419302,
        0.00565747,
        0.00832157,
        0.00802412,
        0.00475279,
        0.00370345,
        0.00346933,
        0.00336004,
        0.00341636,
        0.0037854,
        0.00375968,
        0.00396749,
        0.0042392,
        0.0046695,
        0.00537356,
        0.0062684,
        0.00803183,
        0.0117365,
        0.0190261,
        0.0286454,
        0.0140081,
        0.00856667,
        0.00737082,
        0.0053338,
        0.00440981,
        0.00410818,
        0.00404385,
        0.00374082,
        0.00332674,
        0.00320299,
        0.00312856,
        0.00300295,
        0.00295966,
        0.00289527,
        0.00291829,
        0.00269706,
        0.00259407,
        0.00264812,
        0.00277526,
        0.00286369,
        0.00288627,
        0.0028074,
        0.00283441,
        0.00286975,
        0.00303174,
        0.00303278,
        0.00328058,
        0.00357252,
        0.0037126,
        0.00355626,
        0.00317479,
        0.00306893,
        0.00412942,
        0.00494113,
        0.00459802,
        0.0037921,
        0.00325468,
        0.00299784,
        0.00314995,
        0.00389646,
        0.00571783,
        0.00758397,
        0.00705605,
        0.00495319,
        0.00400105,
        0.00385289,
        0.00401296,
        0.00400366,
        0.0042769,
        0.00445841,
        0.00422446,
        0.00399522,
        0.00371654,
        0.00322257,
        0.00297319,
        0.00310965,
        0.00322865,
        0.00354959,
        0.00344753,
        0.00316898,
        0.00289246,
        0.00270905,
        0.002628,
        0.00261709,
        0.00261714,
        0.0027078,
        0.00290638,
        0.00285793,
        0.00264897,
        0.0026497,
        0.00262899,
        0.00258994,
        0.0027265,
        0.00269498,
        0.00269245,
        0.00273312,
        0.00307093,
        0.00340966,
        0.00458272,
        0.00581592,
        0.00687566,
        0.00631595,
        0.00483733,
        0.00374562,
        0.00317877,
        0.00306714,
        0.00330115,
        0.00354323,
        0.00348719,
        0.00337907,
        0.00348431,
        0.00343189,
        0.00312883,
        0.00308633,
        0.00281077,
        0.0026283,
        0.00260735,
        0.00259765,
        0.0025287,
        0.0023559,
        0.00222269,
        0.0021637,
        0.00237866,
        0.00239354,
        0.00246215,
        0.00240671,
        0.00281024,
        0.00352458,
        0.00416961,
        0.00392407,
        0.00302239,
        0.00254207,
        0.00253687,
        0.00254555,
        0.0026552,
        0.0028778,
        0.00271281,
        0.00256463,
        0.00237359,
        0.00235665,
        0.00241231,
        0.00232164,
        0.00239701,
        0.00249329,
        0.00243126,
        0.00241163,
        0.00227181,
        0.00229685,
        0.00230713,
        0.00234944,
        0.00236542,
        0.00250823,
        0.00237341,
        0.00244847,
        0.00275031,
        0.00315587,
        0.00289814,
        0.00251402,
        0.00249,
        0.00268082,
        0.00271445,
        0.00296166,
        0.00321402,
        0.00429302,
        0.00427122,
        0.00345657,
        0.00266641,
        0.00248882,
        0.00244638,
        0.00246379,
        0.00248949,
        0.0026693,
        0.00277873,
        0.00295953,
        0.00313366,
        0.0029549,
        0.00291216,
        0.00278942,
        0.0028033,
        0.00277359,
        0.00283136,
        0.00290316,
        0.0036768,
        0.00514317,
        0.00568742,
        0.0042926,
        0.00318445,
        0.00282323,
        0.0028157,
        0.00278098,
        null,
        0.00270383,
        0.00271492,
        0.00277589,
        0.00292061,
        0.00369146,
        0.00429903,
        0.00376694,
        0.00335403,
        0.00282013,
        0.00275656,
        0.00267431,
        0.00263537,
        0.00268391,
        0.00271875,
        0.00305622,
        0.003373,
        0.00426197,
        0.00729561,
        0.00866845,
        0.00599989,
        0.00390047,
        0.00309425,
        0.00271993,
        0.00272139,
        0.00269029,
        0.0025978,
        0.00248504,
        0.00251533,
        0.00265717,
        0.00268092,
        0.00272508,
        0.00271223,
        0.00244153,
        0.0025947,
        0.00264076,
        0.00320288,
        0.00466298,
        0.00482399,
        0.00387201,
        0.00303888,
        0.0028525,
        0.00283362,
        0.00300399,
        0.0032307,
        0.00296777,
        0.00278478,
        0.00270763,
        0.00261437,
        0.00263141,
        0.00253293,
        0.00240923,
        0.00238782,
        0.0024658,
        0.00231529,
        0.00218779,
        0.00220853,
        0.00236529,
        0.00241846,
        0.00241035,
        0.00254641,
        0.00310217,
        0.00343397,
        0.00294231,
        0.00255186,
        0.00246084,
        0.00232981,
        0.00251261,
        0.00245674,
        0.00228901,
        0.00251787,
        0.00315411,
        0.00439227,
        0.00441539,
        0.00356249,
        0.0030276,
        0.00327203,
        0.00453672,
        0.0059427,
        0.00504303,
        0.00354236,
        0.00326566,
        0.00322546,
        0.00327295,
        0.00332661,
        0.00309864,
        0.00307048,
        0.00321702,
        0.00318465,
        0.00304932,
        0.00287173,
        0.00283342,
        0.00277072,
        0.00271493,
        0.00256694,
        0.00258762,
        0.00268926,
        0.00268718,
        0.00269038,
        0.00261321,
        0.00256122,
        0.00272635,
        0.00273924,
        0.00262256,
        0.00258779,
        0.00274709,
        0.0028941,
        0.00290393,
        0.00286767,
        0.00286769,
        0.00263827,
        0.00255348,
        0.00258881,
        0.0027109,
        0.00270919,
        0.00283396,
        0.00329688,
        0.00402716,
        0.00509165,
        0.00447948,
        0.0041502,
        0.0050225,
        0.00638211,
        0.00631483,
        0.00465369,
        0.00362131,
        0.00323553,
        0.00332251,
        0.00366993,
        0.0037865,
        0.00378151,
        0.00375618,
        0.00410038,
        0.00449201,
        0.00482928,
        0.00570188,
        0.00638167,
        0.00710836,
        0.00771354,
        0.00728995,
        0.00701234,
        0.00653144,
        0.00562761,
        0.00487988,
        0.0041246,
        0.00386491,
        0.00341087,
        0.00354917,
        0.00333773,
        0.00350156,
        0.00434273,
        0.00543377,
        0.00500613,
        0.00387137,
        0.00318797,
        0.00276278,
        0.00269895,
        0.00248029,
        0.00249854,
        0.00252156,
        0.00249815,
        0.00235838,
        0.00270087,
        0.00274244,
        0.00262427,
        0.00267281,
        0.00266067,
        0.00270002,
        0.00268678,
        0.0024115,
        0.00255006,
        0.00277556,
        0.00279541,
        0.00318785,
        0.00339272,
        0.00297271,
        0.00259202,
        0.00242483,
        0.00235903,
        0.00235372,
        0.00237041,
        0.00245237,
        0.00256449,
        0.00248543,
        0.00266197,
        0.0030799,
        0.00417625,
        0.00422104,
        0.00305538,
        0.00262305,
        0.00239322,
        0.00231725,
        0.00252202,
        0.00236645,
        0.00244143,
        0.00256714,
        0.00271317,
        0.00269922,
        0.00244512,
        0.00247712,
        0.00262411,
        0.00275496,
        0.00315683,
        0.00464321,
        0.0057218,
        0.00478943,
        0.00348316,
        0.00278718,
        0.00255193,
        0.00250514,
        0.00241013,
        0.00257809,
        0.00274071,
        0.00264319,
        0.00256533,
        0.00257555,
        0.00257966,
        0.00252562,
        0.00269873,
        0.00258774,
        0.00259651,
        0.00262409,
        0.00267388,
        0.00274542,
        0.00272409,
        0.00277879,
        0.00299759,
        0.00327571,
        0.00333075,
        0.00330505,
        0.00376519,
        0.00452163,
        0.00481375,
        0.00397995,
        0.00332002,
        0.00305537,
        0.00262581,
        0.00247662,
        0.00280661,
        0.0032194,
        0.00344369,
        0.00324463,
        0.00288911,
        0.00295144,
        0.00285189,
        0.00291656,
        0.00308108,
        0.00326557,
        0.00326522,
        0.00441186,
        0.00657971,
        0.00867736,
        0.00832765,
        0.00803376,
        0.00597277,
        0.00410624,
        0.00319121,
        0.0031635,
        0.00319403,
        0.00323858,
        0.00311431,
        0.00323722,
        0.00342356,
        0.00367349,
        0.00371566,
        0.00366892,
        0.00391765,
        0.00523123,
        0.00616092,
        0.00520702,
        0.00407076,
        0.00319649,
        0.00304265,
        0.00276762,
        0.00283043,
        0.00287804,
        0.002928,
        0.0030221,
        0.00310225,
        0.00291111,
        0.00308118,
        0.00312578,
        0.0032902,
        0.00342204,
        0.00364953,
        0.00395567,
        0.004718,
        0.00672467,
        0.00735635,
        0.00649397,
        0.00822485,
        0.0102825,
        0.0157297,
        0.0322118,
        0.0231834,
        0.0152668,
        0.0116501,
        0.0135445,
        0.0138678,
        0.0126792,
        0.0120244,
        0.0114169,
        0.00663992,
        0.00434846,
        0.00379308,
        0.00347501,
        0.00304024,
        0.00307193,
        0.0029002,
        0.00284568,
        0.00286089,
        0.00307557,
        0.00325685,
        0.00281515,
        0.00281661,
        0.00266402,
        0.00271329,
        0.00277666,
        0.00286685,
        0.00294433,
        0.00303449,
        0.00292746,
        0.00267602,
        0.00271762,
        0.00282188,
        0.00264737,
        0.00261604,
        0.00258893,
        0.00259449,
        0.00260763,
        0.00260286,
        0.0025886,
        0.00254218,
        0.00265317,
        0.00265529,
        0.00254492,
        0.00249472,
        0.00265549,
        0.0027299,
        0.00303523,
        0.00287428,
        0.00318317,
        0.00403449,
        0.00473829,
        0.0042688,
        0.00364274,
        0.00350633,
        0.00372225,
        0.00494933,
        0.00779206,
        0.00785224,
        0.00522517,
        0.00348394,
        0.00327883,
        0.00310651,
        0.00299757,
        0.00302157,
        0.00294667,
        0.0028598,
        0.00286628,
        0.00238756,
        0.00231212,
        0.00235805,
        0.00263743,
        0.00272578,
        0.00264747,
        0.00264541,
        0.00270804,
        0.00278318,
        0.00280271,
        0.00361489,
        0.0048942,
        0.00582341,
        0.00411101,
        0.00319134,
        0.00289198,
        0.00272584,
        0.00261341,
        0.002701,
        0.00256689,
        0.00253132,
        0.00253259,
        0.00247724,
        0.00245761,
        0.00253128,
        0.00247013,
        0.00246524,
        0.00260833,
        0.00301968,
        0.00344373,
        0.00327837,
        0.0028756,
        0.00261099,
        0.00255454,
        0.00264105,
        0.00294449,
        0.00257455,
        0.00271244,
        0.00257638,
        0.00280521,
        0.0025861,
        0.00289626,
        0.00262693,
        0.00283577,
        0.00252787,
        0.00317102,
        0.00404462,
        0.00374586,
        0.00343242,
        0.00293807,
        0.00274532,
        0.00262384,
        0.00264816,
        0.0026183,
        0.00275435,
        0.00262851,
        0.00260825,
        0.00276618,
        0.00282617,
        null,
        0.00244357,
        0.00248702,
        0.00240522,
        0.00220889,
        0.0023121,
        0.00244779,
        0.00252898,
        0.0025563,
        0.00259536,
        0.00266713,
        0.00254463,
        0.00257308,
        0.0027854,
        0.002943,
        0.00347244,
        0.00448223,
        0.00467702,
        0.00423871,
        0.00374363,
        0.00353458,
        0.00299062,
        0.00252427,
        0.00243784,
        0.00265292,
        0.00274812,
        0.00290842,
        0.00296038,
        0.00277542,
        0.00305515,
        0.00314628,
        0.00311871,
        0.0029819,
        0.00316749,
        0.00330343,
        0.0032962,
        0.0035756,
        0.00404723,
        0.00471959,
        0.00647872,
        0.00916209,
        0.0108775,
        0.00848601,
        0.00765945,
        0.00845968,
        0.0100478,
        0.0125582,
        0.0142695,
        0.0104303,
        0.00652219,
        0.00544903,
        0.0044463,
        0.00434133,
        0.00413207,
        0.00385911,
        0.00394827,
        0.00480253,
        0.00619324,
        0.00634492,
        0.00546077,
        0.00432508,
        0.00351096,
        0.00329316,
        0.00290429,
        0.00295203,
        0.00301503,
        0.00298748,
        0.00284143,
        0.002855,
        0.00302982,
        0.00343955,
        0.00385519,
        0.00335479,
        0.0029627
    ]
}