GET /api/crires_4645nm_5158nm_twomass_j16262138minus2423040/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.644949005862719,
        4.644969430335568,
        4.644989854808417,
        4.645010279281267,
        4.6450307037541165,
        4.6450511282269655,
        4.645071552699815,
        4.645091977172664,
        4.645112401645513,
        4.645132826118363,
        4.645153250591212,
        4.645173675064062,
        4.645194099536911,
        4.645214524009761,
        4.645234948482611,
        4.64525537295546,
        4.645275797428309,
        4.645296221901158,
        4.645316646374008,
        4.645337070846859,
        4.645357495319708,
        4.645377919792557,
        4.645398344265406,
        4.6454187687382555,
        4.6454391932111045,
        4.645459617683954,
        4.645480042156803,
        4.645500466629653,
        4.645520891102503,
        4.645541315575352,
        4.645561740048201,
        4.64558216452105,
        4.6456025889939,
        4.64562301346675,
        4.645643437939599,
        4.645663862412448,
        4.645684286885298,
        4.645704711358148,
        4.645725135830998,
        4.645745560303847,
        4.645765984776696,
        4.645786409249545,
        4.645806833722395,
        4.645827258195244,
        4.645847682668094,
        4.645868107140943,
        4.645888531613792,
        4.645908956086642,
        4.645929380559491,
        4.64594980503234,
        4.645970229505189,
        4.645990653978039,
        4.64601107845089,
        4.646031502923739,
        4.646051927396588,
        4.646133625287986,
        4.646154049760835,
        4.646174474233685,
        4.6461948987065345,
        4.6462153231793835,
        4.646235747652233,
        4.646256172125082,
        4.646276596597931,
        4.646297021070781,
        4.64631744554363,
        4.646337870016479,
        4.646358294489329,
        4.646378718962179,
        4.646399143435029,
        4.646419567907878,
        4.646439992380727,
        4.646460416853576,
        4.646480841326426,
        4.646501265799276,
        4.646521690272126,
        4.646542114744975,
        4.646562539217824,
        4.6465829636906735,
        4.6466033881635225,
        4.646623812636372,
        4.646644237109221,
        4.64666466158207,
        4.646685086054921,
        4.64670551052777,
        4.646725935000619,
        4.646746359473468,
        4.646766783946318,
        4.646787208419168,
        4.646807632892017,
        4.646828057364866,
        4.646848481837716,
        4.646868906310566,
        4.646889330783416,
        4.646909755256265,
        4.646930179729114,
        4.646950604201963,
        4.6469710286748125,
        4.6469914531476615,
        4.647011877620511,
        4.647032302093361,
        4.64705272656621,
        4.64707315103906,
        4.647093575511909,
        4.647113999984758,
        4.647134424457607,
        4.647154848930457,
        4.647175273403307,
        4.647195697876157,
        4.647216122349006,
        4.647236546821855,
        4.647256971294705,
        4.647277395767555,
        4.647297820240404,
        4.647318244713253,
        4.647338669186102,
        4.647359093658952,
        4.647379518131801,
        4.647399942604651,
        4.6474203670775,
        4.647440791550349,
        4.647461216023199,
        4.647481640496048,
        4.647502064968897,
        4.647522489441747,
        4.647542913914597,
        4.647563338387447,
        4.647583762860296,
        4.647604187333145,
        4.647624611805994,
        4.647645036278844,
        4.647665460751694,
        4.647685885224543,
        4.6477063096973925,
        4.6477267341702415,
        4.647747158643091,
        4.64776758311594,
        4.64778800758879,
        4.647808432061639,
        4.647828856534488,
        4.647849281007338,
        4.647869705480188,
        4.647890129953037,
        4.647910554425886,
        4.647930978898736,
        4.647951403371586,
        4.647971827844435,
        4.647992252317284,
        4.648012676790133,
        4.648033101262984,
        4.6480535257358335,
        4.6480739502086825,
        4.6480943746815315,
        4.6481147991543805,
        4.64813522362723,
        4.648155648100079,
        4.648176072572929,
        4.648196497045779,
        4.648216921518628,
        4.648237345991478,
        4.648257770464327,
        4.648278194937176,
        4.648298619410025,
        4.648319043882875,
        4.648339468355725,
        4.648359892828574,
        4.648380317301424,
        4.648400741774273,
        4.648421166247123,
        4.6484415907199725,
        4.6484620151928215,
        4.6484824396656705,
        4.6485028641385195,
        4.648523288611369,
        4.648543713084219,
        4.648564137557069,
        4.648584562029918,
        4.648604986502767,
        4.648625410975617,
        4.648645835448466,
        4.648666259921315,
        4.648686684394164,
        4.648707108867015,
        4.648727533339865,
        4.648747957812714,
        4.648768382285563,
        4.648788806758412,
        4.648809231231262,
        4.6488296557041116,
        4.6488500801769606,
        4.64887050464981,
        4.648890929122659,
        4.648911353595509,
        4.648931778068358,
        4.648952202541208,
        4.648972627014057,
        4.648993051486906,
        4.649013475959756,
        4.649033900432605,
        4.649054324905455,
        4.649074749378304,
        4.649095173851154,
        4.649115598324004,
        4.649136022796853,
        4.649156447269702,
        4.649176871742551,
        4.649197296215401,
        4.6492177206882515,
        4.6492381451611005,
        4.6492585696339495,
        4.6492789941067985,
        4.649299418579648,
        4.649319843052497,
        4.649340267525347,
        4.649360691998196,
        4.649381116471046,
        4.649401540943896,
        4.649421965416745,
        4.649442389889594,
        4.649462814362443,
        4.649483238835293,
        4.649503663308143,
        4.649524087780992,
        4.649544512253842,
        4.649564936726691,
        4.649585361199541,
        4.6496057856723905,
        4.6496262101452395,
        4.6496466346180885,
        4.6496670590909375,
        4.649687483563787,
        4.649707908036636,
        4.649728332509487,
        4.649748756982336,
        4.649769181455185,
        4.649789605928035,
        4.649810030400884,
        4.649830454873733,
        4.649850879346582,
        4.649871303819432,
        4.649891728292283,
        4.649912152765132,
        4.649932577237981,
        4.64995300171083,
        4.64997342618368,
        4.6499938506565295,
        4.6500142751293785,
        4.6500346996022275,
        4.650055124075077,
        4.650075548547927,
        4.650095973020776,
        4.650116397493625,
        4.650136821966475,
        4.650157246439324,
        4.650177670912174,
        4.650198095385023,
        4.650218519857873,
        4.650238944330722,
        4.650259368803572,
        4.650279793276422,
        4.650300217749271,
        4.65032064222212,
        4.650341066694969,
        4.650361491167819,
        4.6503819156406685,
        4.650402340113518,
        4.650422764586367,
        4.650443189059216,
        4.650463613532066,
        4.650484038004915,
        4.650504462477764,
        4.650524886950614,
        4.650545311423463,
        4.650565735896314,
        4.650586160369163,
        4.650606584842012,
        4.650627009314861,
        4.650647433787711,
        4.650667858260561,
        4.65068828273341,
        4.650708707206259,
        4.650729131679109,
        4.6507495561519585,
        4.650769980624808,
        4.650790405097657,
        4.650810829570506,
        4.650831254043355,
        4.650851678516205,
        4.650872102989054,
        4.650892527461904,
        4.650912951934754,
        4.650933376407603,
        4.650953800880453,
        4.650974225353302,
        4.650994649826151,
        4.651015074299,
        4.65103549877185,
        4.6510559232447,
        4.65107634771755,
        4.651096772190399,
        4.651117196663248,
        4.6511376211360975,
        4.651158045608947,
        4.651178470081796,
        4.651198894554645,
        4.651219319027494,
        4.651239743500345,
        4.651260167973194,
        4.651280592446043,
        4.651301016918893,
        4.651321441391742,
        4.651341865864592,
        4.651362290337441,
        4.65138271481029,
        4.65140313928314,
        4.65142356375599,
        4.65144398822884,
        4.651464412701689,
        4.651484837174538,
        4.651505261647387,
        4.6515256861202365,
        4.651546110593086,
        4.651566535065936,
        4.651586959538785,
        4.651607384011634,
        4.651627808484484,
        4.651648232957333,
        4.651668657430182,
        4.651689081903032,
        4.651709506375881,
        4.651729930848731,
        4.651750355321581,
        4.65177077979443,
        4.651791204267279,
        4.651811628740129,
        4.651832053212979,
        4.651852477685828,
        4.651872902158677,
        4.651893326631526,
        4.651913751104376,
        4.651934175577226,
        4.651954600050075,
        4.651975024522924,
        4.651995448995773,
        4.652015873468623,
        4.652036297941472,
        4.652056722414321,
        4.652077146887172,
        4.652097571360021,
        4.652117995832871,
        4.65213842030572,
        4.652158844778569,
        4.652179269251418,
        4.652199693724268,
        4.652220118197118,
        4.652240542669968,
        4.652260967142817,
        4.652281391615666,
        4.6523018160885155,
        4.652322240561365,
        4.652342665034214,
        4.652363089507063,
        4.652383513979912,
        4.652403938452762,
        4.652424362925612,
        4.652444787398461,
        4.652465211871311,
        4.65248563634416,
        4.65250606081701,
        4.652526485289859,
        4.652546909762708,
        4.652567334235557,
        4.652587758708408,
        4.652608183181258,
        4.652628607654107,
        4.652649032126956,
        4.652669456599805,
        4.6526898810726545,
        4.652710305545504,
        4.652730730018353,
        4.652751154491203,
        4.652771578964052,
        4.652792003436902,
        4.652812427909751,
        4.6528328523826,
        4.65285327685545,
        4.652873701328299,
        4.652894125801149,
        4.652914550273999,
        4.652934974746848,
        4.652955399219697,
        4.652975823692547,
        4.652996248165397,
        4.653016672638246,
        4.653037097111095,
        4.653057521583944,
        4.6530779460567935,
        4.653098370529644,
        4.653118795002493,
        4.653139219475342,
        4.653159643948191,
        4.653180068421041,
        4.65320049289389,
        4.653220917366739,
        4.653241341839589,
        4.653261766312439,
        4.653282190785289,
        4.653302615258138,
        4.653323039730987,
        4.653343464203836,
        4.653363888676686,
        4.653384313149536,
        4.653404737622385,
        4.6534251620952345,
        4.6534455865680835,
        4.653466011040933,
        4.653486435513783,
        4.653506859986632,
        4.653527284459481,
        4.65354770893233,
        4.65356813340518,
        4.65358855787803,
        4.653608982350879,
        4.653629406823729,
        4.653649831296578,
        4.653670255769428,
        4.653690680242277,
        4.653711104715126,
        4.653731529187975,
        4.653751953660825,
        4.6537723781336755,
        4.6537928026065245,
        4.6538132270793735,
        4.6538336515522225,
        4.653854076025072,
        4.653874500497922,
        4.653894924970771,
        4.65391534944362,
        4.65393577391647,
        4.65395619838932,
        4.653976622862169,
        4.653997047335018,
        4.654017471807868,
        4.654037896280717,
        4.654058320753567,
        4.654078745226416,
        4.654099169699266,
        4.654119594172115,
        4.654140018644965,
        4.6541604431178145,
        4.6541808675906635,
        4.6542012920635125,
        4.6542217165363615,
        4.654242141009211,
        4.654262565482062,
        4.654282989954911,
        4.65430341442776,
        4.654323838900609,
        4.654344263373459,
        4.654364687846308,
        4.654385112319157,
        4.654405536792007,
        4.654425961264856,
        4.654446385737707,
        4.654466810210556,
        4.654487234683405,
        4.654507659156254,
        4.654528083629104,
        4.6545485081019535,
        4.6545689325748025,
        4.6545893570476515,
        4.654609781520501,
        4.654630205993351,
        4.654650630466201,
        4.65467105493905,
        4.654691479411899,
        4.654711903884748,
        4.654732328357598,
        4.654752752830447,
        4.654773177303297,
        4.654793601776147,
        4.654814026248996,
        4.654834450721846,
        4.654854875194695,
        4.654875299667544,
        4.654895724140393,
        4.654916148613243,
        4.6549365730860925,
        4.654956997558942,
        4.654977422031791,
        4.65499784650464,
        4.65501827097749,
        4.65503869545034,
        4.655059119923189,
        4.655079544396038,
        4.655099968868887,
        4.655120393341738,
        4.655140817814587,
        4.655161242287436,
        4.655181666760286,
        4.655202091233135,
        4.655222515705985,
        4.655242940178834,
        4.655263364651683,
        4.655283789124533,
        4.655304213597383,
        4.6553246380702324,
        4.6553450625430814,
        4.6553654870159304,
        4.6553859114887794,
        4.655406335961629,
        4.655426760434479,
        4.655447184907329,
        4.655467609380178,
        4.655488033853027,
        4.655508458325877,
        4.655528882798726,
        4.655549307271575,
        4.655569731744425,
        4.655590156217274,
        4.655610580690124,
        4.655631005162974,
        4.655651429635823,
        4.655671854108672,
        4.655692278581522,
        4.6557127030543715,
        4.6557331275272205,
        4.6557535520000695,
        4.6557739764729185,
        4.655794400945769,
        4.655814825418619,
        4.655835249891468,
        4.655855674364317,
        4.655876098837166,
        4.655896523310016,
        4.655916947782865,
        4.655937372255714,
        4.655957796728565,
        4.655978221201414,
        4.655998645674264,
        4.656019070147113,
        4.656039494619962,
        4.656059919092811,
        4.656080343565661,
        4.6561007680385105,
        4.65612119251136,
        4.656141616984209,
        4.656162041457058,
        4.656182465929908,
        4.656202890402758,
        4.656223314875607,
        4.656243739348456,
        4.656264163821305,
        4.656284588294155,
        4.656305012767005,
        4.656325437239854,
        4.656345861712704,
        4.656366286185553,
        4.656386710658403,
        4.656407135131252,
        4.656427559604101,
        4.65644798407695,
        4.6564684085498005,
        4.65648883302265,
        4.656509257495499,
        4.656529681968348,
        4.656550106441197,
        4.656570530914047,
        4.656590955386897,
        4.656611379859746,
        4.656631804332596,
        4.656652228805445,
        4.656672653278295,
        4.656693077751144,
        4.656713502223993,
        4.656733926696843,
        4.656754351169692,
        4.656774775642542,
        4.656795200115392,
        4.656815624588241,
        4.65683604906109,
        4.6568564735339395,
        4.656876898006789,
        4.656897322479638,
        4.656917746952487,
        4.656938171425336,
        4.656958595898186,
        4.656979020371037,
        4.656999444843886,
        4.657019869316735,
        4.657040293789584,
        4.657060718262434,
        4.657081142735283,
        4.657142416153832,
        4.657162840626682,
        4.657183265099531,
        4.65720368957238,
        4.657224114045229,
        4.6572445385180785,
        4.657264962990928,
        4.657285387463777,
        4.657305811936627,
        4.657326236409476,
        4.657346660882326,
        4.657367085355176,
        4.657387509828025,
        4.657407934300874,
        4.657428358773723,
        4.657448783246573,
        4.657469207719423,
        4.657489632192272,
        4.657510056665122,
        4.657530481137971,
        4.657550905610821,
        4.65757133008367,
        4.657591754556519,
        4.657612179029368,
        4.6576326035022175,
        4.657653027975068,
        4.657673452447917,
        4.657693876920766,
        4.657714301393615,
        4.657734725866465,
        4.657755150339315,
        4.657775574812164,
        4.657795999285013,
        4.657816423757863,
        4.657836848230713,
        4.657857272703562,
        4.657877697176411,
        4.657898121649261,
        4.65791854612211,
        4.65793897059496,
        4.657959395067809,
        4.6579798195406585,
        4.6580002440135075,
        4.658020668486357,
        4.658041092959207,
        4.658061517432056,
        4.658081941904905,
        4.658102366377754,
        4.658122790850604,
        4.658143215323455,
        4.658163639796304,
        4.658184064269153,
        4.658204488742002,
        4.658224913214852,
        4.658245337687701,
        4.65826576216055,
        4.6582861866334,
        4.658306611106249,
        4.6583270355790996,
        4.6583474600519486,
        4.6583678845247976,
        4.6583883089976466,
        4.658408733470496,
        4.658429157943346,
        4.658449582416195,
        4.658470006889044,
        4.658490431361894,
        4.658510855834744,
        4.658531280307594,
        4.658551704780443,
        4.658572129253292,
        4.658592553726141,
        4.658612978198991,
        4.65863340267184,
        4.65865382714469,
        4.65867425161754,
        4.658694676090389,
        4.658715100563239,
        4.658735525036088,
        4.658755949508937,
        4.658776373981786,
        4.6587967984546355,
        4.658817222927486,
        4.658837647400335,
        4.658858071873184,
        4.658878496346033,
        4.658898920818883,
        4.658919345291733,
        4.658939769764581,
        4.658960194237431,
        4.65898061871028,
        4.659001043183131,
        4.65902146765598,
        4.659041892128829,
        4.659062316601679,
        4.659082741074528,
        4.659103165547378,
        4.659123590020227,
        4.659144014493076,
        4.6591644389659255,
        4.659184863438775,
        4.659205287911625,
        4.659225712384474,
        4.659246136857323,
        4.659266561330172,
        4.659286985803022,
        4.659307410275872,
        4.659327834748721,
        4.659348259221571,
        4.65936868369442,
        4.65938910816727,
        4.659409532640119,
        4.659429957112968,
        4.659450381585818,
        4.659470806058667,
        4.6594912305315175,
        4.6595116550043665,
        4.6595320794772155,
        4.6595525039500645,
        4.659572928422914,
        4.659593352895764,
        4.659613777368613,
        4.659634201841462,
        4.659654626314311,
        4.659675050787162,
        4.659695475260012,
        4.65971589973286,
        4.65973632420571,
        4.659756748678559,
        4.659777173151409,
        4.659797597624258,
        4.659818022097107,
        4.659838446569958,
        4.659858871042807,
        4.6598792955156565,
        4.6598997199885055,
        4.6599201444613545,
        4.6599405689342035,
        4.659960993407053,
        4.659981417879903,
        4.660001842352753,
        4.660022266825602,
        4.660042691298451,
        4.660063115771301,
        4.660083540244151,
        4.660103964716999,
        4.660124389189849,
        4.660144813662698,
        4.660165238135549,
        4.660185662608398,
        4.660206087081247,
        4.660226511554097,
        4.660246936026946,
        4.6602673604997955,
        4.6602877849726445,
        4.6603082094454935,
        4.6603286339183425,
        4.660349058391193,
        4.660369482864043,
        4.660389907336892,
        4.660410331809741,
        4.66043075628259,
        4.66045118075544,
        4.66047160522829,
        4.660492029701138,
        4.660512454173989,
        4.660532878646838,
        4.660553303119688,
        4.660573727592537,
        4.660594152065386,
        4.660614576538236,
        4.660635001011085,
        4.6606554254839345,
        4.660675849956784,
        4.660696274429633,
        4.660716698902482,
        4.660737123375332,
        4.660757547848182,
        4.660777972321031,
        4.66079839679388,
        4.660818821266729,
        4.66083924573958,
        4.66085967021243,
        4.660880094685278,
        4.660900519158128,
        4.660920943630977,
        4.660941368103827,
        4.660961792576676,
        4.660982217049525,
        4.661002641522375,
        4.6610230659952245,
        4.661043490468074,
        4.661063914940923,
        4.661084339413772,
        4.661104763886621,
        4.661125188359471,
        4.661145612832321,
        4.66116603730517,
        4.66118646177802,
        4.661206886250869,
        4.661227310723719,
        4.661247735196569,
        4.661268159669417,
        4.661288584142267,
        4.661309008615116,
        4.661329433087966,
        4.661349857560816,
        4.661370282033665,
        4.661513253343611,
        4.661533677816461,
        4.66155410228931,
        4.661574526762159,
        4.661594951235008,
        4.661615375707858,
        4.661635800180708,
        4.661656224653556,
        4.661676649126406,
        4.661697073599256,
        4.661717498072106,
        4.661737922544955,
        4.661758347017804,
        4.661778771490654,
        4.661799195963503,
        4.6618196204363525,
        4.6618400449092015,
        4.661860469382051,
        4.6618808938549,
        4.66190131832775,
        4.6619217428006,
        4.661942167273449,
        4.661962591746298,
        4.661983016219147,
        4.662003440691997,
        4.662023865164848,
        4.662044289637696,
        4.662064714110546,
        4.662085138583395,
        4.662105563056245,
        4.662125987529094,
        4.662146412001943,
        4.662166836474793,
        4.6621872609476425,
        4.662207685420492,
        4.662228109893341,
        4.66224853436619,
        4.662268958839039,
        4.662289383311889,
        4.662309807784739,
        4.662330232257588,
        4.662350656730437,
        4.662371081203287,
        4.662391505676137,
        4.662411930148987,
        4.662432354621835,
        4.662452779094685,
        4.662473203567534,
        4.662493628040384,
        4.662514052513233,
        4.662534476986083,
        4.6625549014589325,
        4.6625753259317815,
        4.662595750404631,
        4.66261617487748,
        4.662636599350329,
        4.662657023823178,
        4.662677448296028,
        4.662697872768879,
        4.662718297241728,
        4.662738721714577,
        4.662759146187426,
        4.662779570660276,
        4.662799995133126,
        4.662820419605974,
        4.662840844078824,
        4.662861268551674,
        4.662881693024524,
        4.662902117497373,
        4.662922541970222,
        4.6629429664430715,
        4.6629633909159205,
        4.66298381538877,
        4.663004239861619,
        4.663024664334468,
        4.663045088807318,
        4.663065513280168,
        4.663085937753018,
        4.663106362225867,
        4.663126786698716,
        4.663147211171565,
        4.663167635644415,
        4.663188060117265,
        4.663208484590114,
        4.663228909062964,
        4.663249333535813,
        4.663269758008663,
        4.663290182481512,
        4.663310606954361,
        4.6633310314272105,
        4.6633514559000595,
        4.66337188037291,
        4.663392304845759,
        4.663412729318608,
        4.663433153791457,
        4.663453578264307,
        4.663474002737157,
        4.663494427210006,
        4.663514851682855,
        4.663535276155705,
        4.663555700628555,
        4.663576125101405,
        4.663596549574253,
        4.663616974047103,
        4.663637398519952,
        4.663657822992802,
        4.663678247465651,
        4.6636986719385,
        4.66371909641135,
        4.663739520884199,
        4.663759945357049,
        4.663780369829898,
        4.663800794302747,
        4.663821218775596,
        4.663841643248446,
        4.663862067721296,
        4.663882492194146,
        4.663902916666995,
        4.663923341139844,
        4.663943765612694,
        4.663964190085544,
        4.663984614558392,
        4.664005039031242,
        4.664025463504091,
        4.6640458879769415,
        4.6640663124497905,
        4.6640867369226395,
        4.664107161395489,
        4.664127585868338,
        4.664148010341188,
        4.664168434814037,
        4.664188859286886,
        4.664209283759736,
        4.664229708232586,
        4.664250132705436,
        4.664270557178285,
        4.664290981651134,
        4.664311406123983,
        4.664331830596833,
        4.664352255069683,
        4.664372679542531,
        4.664393104015382,
        4.664413528488231,
        4.6644339529610805,
        4.6644543774339295,
        4.6644748019067785,
        4.664495226379628,
        4.664515650852477,
        4.664536075325327,
        4.664556499798177,
        4.664576924271026,
        4.664597348743875,
        4.664617773216725,
        4.664638197689575,
        4.664658622162424,
        4.664679046635273,
        4.664699471108122,
        4.664719895580973,
        4.664740320053823,
        4.664760744526671,
        4.664781168999521,
        4.66480159347237,
        4.66482201794522,
        4.664842442418069,
        4.664862866890918,
        4.664883291363768,
        4.664903715836617,
        4.664924140309467,
        4.664944564782316,
        4.664964989255165,
        4.664985413728014,
        4.665005838200864,
        4.665026262673714,
        4.665046687146563,
        4.665067111619413,
        4.665087536092262,
        4.665107960565112,
        4.665128385037962,
        4.66514880951081,
        4.66516923398366,
        4.665189658456509,
        4.665210082929359,
        4.6652305074022085,
        4.6652509318750575,
        4.665271356347907,
        4.665291780820756,
        4.665312205293606,
        4.665332629766455,
        4.665353054239304,
        4.665373478712153,
        4.665393903185004,
        4.665414327657854,
        4.665434752130703,
        4.665455176603552,
        4.665475601076401,
        4.665496025549251,
        4.665516450022101,
        4.665536874494949,
        4.6655572989678,
        4.665577723440649,
        4.6655981479134985,
        4.6656185723863475,
        4.6656389968591965,
        4.665659421332046,
        4.665679845804895,
        4.665700270277745,
        4.665720694750594,
        4.665741119223444,
        4.665761543696293,
        4.665781968169143,
        4.665802392641993,
        4.665822817114842,
        4.665843241587691,
        4.66586366606054,
        4.66588409053339,
        4.665904515006241,
        4.665924939479089,
        4.665945363951939,
        4.665965788424788,
        4.6659862128976375,
        4.6660066373704865,
        4.6660270618433355,
        4.666047486316185,
        4.666067910789035,
        4.666088335261885,
        4.666108759734734,
        4.666129184207583,
        4.666149608680432,
        4.666170033153282,
        4.666190457626132,
        4.666210882098981,
        4.66623130657183,
        4.66625173104468,
        4.66627215551753,
        4.66629257999038,
        4.666313004463228,
        4.666333428936078,
        4.666353853408927,
        4.6663742778817765,
        4.6663947023546255,
        4.666415126827475,
        4.666435551300325,
        4.666455975773174,
        4.666476400246024,
        4.666496824718873,
        4.666517249191722,
        4.666537673664571,
        4.666558098137421,
        4.666578522610272,
        4.666598947083121,
        4.66661937155597,
        4.666639796028819,
        4.666660220501669,
        4.666680644974519,
        4.666701069447367,
        4.666721493920217,
        4.6667419183930665,
        4.666762342865916,
        4.666782767338765,
        4.666803191811614,
        4.666823616284464,
        4.666844040757313,
        4.666864465230163,
        4.666884889703012,
        4.666905314175861,
        4.666925738648711,
        4.666946163121561,
        4.666966587594411,
        4.66698701206726,
        4.667007436540109,
        4.667027861012958,
        4.667048285485808,
        4.667068709958658,
        4.667089134431507,
        4.6671095589043565,
        4.6671299833772055,
        4.667150407850055,
        4.667170832322904,
        4.667191256795753,
        4.667211681268603,
        4.667232105741452,
        4.667252530214303,
        4.667272954687152,
        4.667293379160001,
        4.66731380363285,
        4.6673342281057,
        4.66735465257855,
        4.667375077051399,
        4.667395501524248,
        4.667415925997098,
        4.667436350469948,
        4.6674567749427975,
        4.667477199415646,
        4.6674976238884955,
        4.6675180483613445,
        4.667538472834194,
        4.667558897307043,
        4.667579321779892,
        4.667599746252743,
        4.667620170725592,
        4.667640595198442,
        4.667661019671291,
        4.66768144414414,
        4.667701868616989,
        4.667722293089839,
        4.667742717562689,
        4.667763142035538,
        4.667783566508388,
        4.667803990981237,
        4.667824415454087,
        4.6678448399269366,
        4.667865264399785,
        4.6678856888726346,
        4.6679061133454836,
        4.667926537818334,
        4.667946962291183,
        4.667967386764032,
        4.667987811236882,
        4.668008235709731,
        4.668028660182581,
        4.66804908465543,
        4.668069509128279,
        4.668089933601129,
        4.668110358073979,
        4.668130782546829,
        4.668151207019678,
        4.668171631492527,
        4.668192055965376,
        4.668212480438226,
        4.668232904911076,
        4.668253329383924,
        4.6682737538567745,
        4.6682941783296235,
        4.668314602802473,
        4.668335027275322,
        4.668355451748171,
        4.668375876221021,
        4.66839630069387,
        4.66841672516672,
        4.66843714963957,
        4.668457574112419,
        4.668477998585268,
        4.668498423058118,
        4.668518847530968,
        4.668539272003816,
        4.668559696476666,
        4.668580120949515,
        4.668600545422366,
        4.6686209698952155,
        4.668641394368064,
        4.6686618188409135,
        4.6686822433137625,
        4.668702667786612,
        4.668723092259461,
        4.66874351673231,
        4.668763941205161,
        4.66878436567801,
        4.66880479015086,
        4.668825214623709,
        4.668845639096558,
        4.668866063569407,
        4.668886488042257,
        4.668906912515107,
        4.668927336987956,
        4.668947761460806,
        4.668968185933655,
        4.668988610406505,
        4.6690090348793545,
        4.669029459352203,
        4.6690498838250525,
        4.6690703082979015,
        4.669090732770751,
        4.669111157243601,
        4.66913158171645,
        4.6691520061893,
        4.669172430662149,
        4.669192855134999,
        4.669213279607848,
        4.669233704080697,
        4.669254128553546,
        4.669274553026397,
        4.669294977499247,
        4.669315401972095,
        4.669335826444945,
        4.669356250917794,
        4.669376675390644,
        4.6693970998634935,
        4.669417524336342,
        4.669437948809192,
        4.669458373282041,
        4.669478797754891,
        4.66949922222774,
        4.669519646700589,
        4.669540071173439,
        4.669560495646288,
        4.669580920119138,
        4.669601344591987,
        4.669621769064837,
        4.669642193537686,
        4.669662618010536,
        4.669683042483386,
        4.669703466956234,
        4.669723891429084,
        4.669744315901933,
        4.669764740374783,
        4.669785164847633,
        4.6698055893204815,
        4.669826013793331,
        4.66984643826618,
        4.66986686273903,
        4.669887287211879,
        4.669907711684728,
        4.669928136157578,
        4.669948560630428,
        4.669968985103278,
        4.669989409576127,
        4.670009834048976,
        4.670030258521825,
        4.670050682994675,
        4.670071107467525,
        4.670091531940373,
        4.670111956413224,
        4.670132380886073,
        4.6701528053589225,
        4.670173229831772,
        4.6701936543046205,
        4.67021407877747,
        4.670234503250319,
        4.670254927723169,
        4.670275352196018,
        4.670295776668868,
        4.670316201141718,
        4.670336625614567,
        4.670357050087417,
        4.670377474560266,
        4.670397899033115,
        4.670418323505964,
        4.670438747978814,
        4.670459172451665,
        4.670479596924513,
        4.670500021397363,
        4.670520445870212,
        4.6705408703430615,
        4.670561294815911,
        4.6705817192887595,
        4.670602143761609,
        4.670622568234459,
        4.670642992707309,
        4.670663417180158,
        4.670683841653007,
        4.670704266125857,
        4.670724690598706,
        4.670745115071556,
        4.670765539544405,
        4.670785964017255,
        4.670806388490104,
        4.670826812962954,
        4.670847237435804,
        4.670867661908652,
        4.670888086381502,
        4.670908510854351,
        4.6709289353272005,
        4.67094935980005,
        4.670969784272899,
        4.670990208745749,
        4.671010633218598,
        4.671031057691448,
        4.671051482164297,
        4.671071906637146,
        4.671092331109996,
        4.671112755582845,
        4.671133180055696,
        4.671153604528545,
        4.671174029001394,
        4.671194453474243,
        4.671214877947093,
        4.671235302419943,
        4.671255726892791,
        4.671276151365641,
        4.671296575838491,
        4.6713170003113405,
        4.67133742478419,
        4.6713578492570385,
        4.671378273729888,
        4.671398698202737,
        4.671419122675587,
        4.671439547148436,
        4.671459971621286,
        4.671480396094136,
        4.671664216349781,
        4.67168464082263,
        4.6717050652954795,
        4.671725489768329,
        4.6717459142411775,
        4.671766338714027,
        4.671786763186876,
        4.671807187659727,
        4.671827612132576,
        4.671848036605425,
        4.671868461078275,
        4.671888885551124,
        4.671909310023974,
        4.671929734496823,
        4.671950158969672,
        4.671970583442522,
        4.671991007915372,
        4.672011432388222,
        4.67203185686107,
        4.67205228133392,
        4.672072705806769,
        4.6720931302796185,
        4.672113554752468,
        4.672133979225317,
        4.672154403698167,
        4.672174828171016,
        4.672195252643866,
        4.672215677116715,
        4.672236101589564,
        4.672256526062414,
        4.672276950535263,
        4.672297375008113,
        4.672317799480963,
        4.672338223953812,
        4.672358648426661,
        4.672379072899511,
        4.672399497372361,
        4.672419921845209,
        4.672440346318059,
        4.672460770790908,
        4.672481195263758,
        4.672501619736608,
        4.672522044209456,
        4.672542468682306,
        4.672562893155155,
        4.672583317628005,
        4.672603742100854,
        4.672624166573703,
        4.672644591046554,
        4.672665015519403,
        4.672685439992253,
        4.672705864465102,
        4.672726288937951,
        4.6727467134108,
        4.67276713788365,
        4.6727875623565,
        4.672807986829349,
        4.6728284113021985,
        4.6728488357750475,
        4.672869260247897,
        4.672889684720747,
        4.672910109193595,
        4.672930533666445,
        4.672950958139294,
        4.672971382612144,
        4.672991807084994,
        4.673012231557843,
        4.673032656030693,
        4.673053080503542,
        4.673073504976392,
        4.673093929449241,
        4.67311435392209,
        4.673134778394939,
        4.67315520286779,
        4.6731756273406395,
        4.673196051813488,
        4.6732164762863375,
        4.6732369007591865,
        4.673257325232036,
        4.673277749704886,
        4.673298174177734,
        4.673318598650585,
        4.673339023123434,
        4.673359447596284,
        4.673379872069133,
        4.673400296541982,
        4.673420721014832,
        4.673441145487681,
        4.673461569960531,
        4.673481994433381,
        4.67350241890623,
        4.673522843379079,
        4.673543267851929,
        4.6735636923247785,
        4.673584116797627,
        4.6736045412704765,
        4.6736249657433255,
        4.673645390216175,
        4.673665814689026,
        4.673686239161874,
        4.673706663634724,
        4.673727088107573,
        4.673747512580423,
        4.673767937053272,
        4.673788361526121,
        4.673808785998971,
        4.673829210471821,
        4.673849634944671,
        4.67387005941752,
        4.673890483890369,
        4.673910908363218,
        4.673931332836068,
        4.6739517573089175,
        4.673972181781766,
        4.673992606254616,
        4.674013030727465,
        4.674033455200315,
        4.674053879673165,
        4.674074304146013,
        4.674094728618863,
        4.674115153091712,
        4.674135577564562,
        4.674156002037412,
        4.674176426510261,
        4.674196850983111,
        4.67421727545596,
        4.67423769992881,
        4.674258124401659,
        4.674278548874508,
        4.674298973347357,
        4.674319397820207,
        4.6743398222930574,
        4.674360246765906,
        4.6743806712387554,
        4.6744010957116044,
        4.674421520184454,
        4.675013829897089,
        4.675034254369938,
        4.675054678842787,
        4.675075103315636,
        4.675095527788486,
        4.6751159522613355,
        4.675136376734184,
        4.6751568012070335,
        4.675177225679883,
        4.675197650152733,
        4.675218074625583,
        4.675238499098431,
        4.675258923571281,
        4.67527934804413,
        4.67529977251698,
        4.675320196989829,
        4.675340621462679,
        4.675361045935529,
        4.675381470408378,
        4.675401894881228,
        4.675422319354077,
        4.675442743826926,
        4.675463168299775,
        4.675483592772625,
        4.675504017245475,
        4.6755244417183235,
        4.675544866191173,
        4.675565290664022,
        4.675585715136872,
        4.675606139609722,
        4.67562656408257,
        4.67564698855542,
        4.675667413028269,
        4.67568783750112,
        4.675708261973969,
        4.675728686446818,
        4.675749110919668,
        4.675769535392517,
        4.675789959865367,
        4.675810384338216,
        4.675830808811065,
        4.675851233283915,
        4.6758716577567645,
        4.675892082229614,
        4.6759125067024625,
        4.675932931175312,
        4.675953355648161,
        4.675973780121011,
        4.675994204593861,
        4.67601462906671,
        4.67603505353956,
        4.676055478012409,
        4.676075902485259,
        4.676096326958108,
        4.676116751430957,
        4.676137175903807,
        4.676157600376656,
        4.676178024849507,
        4.676198449322356,
        4.676218873795205,
        4.676239298268054,
        4.6762597227409035,
        4.676280147213753,
        4.6763005716866015,
        4.676320996159451,
        4.6763414206323,
        4.676361845105151,
        4.676382269578001,
        4.676402694050849,
        4.676423118523699,
        4.676443542996548,
        4.676463967469398,
        4.676484391942247,
        4.676504816415096,
        4.676525240887947,
        4.676545665360796,
        4.676566089833646,
        4.676586514306495,
        4.676606938779344,
        4.676627363252193,
        4.6766477877250425,
        4.676668212197892,
        4.676688636670741,
        4.676709061143591,
        4.67672948561644,
        4.67674991008929,
        4.67677033456214,
        4.676790759034988,
        4.676811183507838,
        4.676831607980687,
        4.676852032453538,
        4.676872456926387,
        4.676892881399236,
        4.676913305872086,
        4.676933730344935,
        4.676954154817785,
        4.676974579290633,
        4.676995003763483,
        4.677015428236332,
        4.677035852709182,
        4.677056277182032,
        4.67707670165488,
        4.67709712612773,
        4.677117550600579,
        4.677137975073429,
        4.677158399546279,
        4.677178824019127,
        4.677199248491978,
        4.677219672964827,
        4.677240097437677,
        4.677260521910526,
        4.677280946383375,
        4.677301370856225,
        4.677321795329074,
        4.677342219801924,
        4.6773626442747736,
        4.6773830687476226,
        4.6774034932204716,
        4.677423917693321,
        4.677444342166171,
        4.6774647666390194,
        4.677485191111869,
        4.677505615584718,
        4.677526040057568,
        4.677546464530419,
        4.677566889003267,
        4.677587313476117,
        4.677607737948966,
        4.677628162421816,
        4.677648586894665,
        4.677669011367514,
        4.677689435840364,
        4.677709860313214,
        4.677730284786064,
        4.677750709258912,
        4.677771133731762,
        4.677791558204611,
        4.6778119826774605,
        4.67783240715031,
        4.6778528316231585,
        4.677873256096009,
        4.677893680568858,
        4.677914105041708,
        4.677934529514558,
        4.677954953987406,
        4.677975378460256,
        4.677995802933105,
        4.678016227405955,
        4.678036651878805,
        4.678057076351654,
        4.678077500824504,
        4.678097925297353,
        4.678118349770203,
        4.678138774243051,
        4.678159198715901,
        4.67817962318875,
        4.6782000476615995,
        4.67822047213445,
        4.678240896607298,
        4.678261321080148,
        4.678281745552997,
        4.678302170025847,
        4.678322594498697,
        4.678343018971545,
        4.678363443444395,
        4.678383867917245,
        4.678404292390095,
        4.678424716862944,
        4.678445141335793,
        4.678465565808643,
        4.678485990281492,
        4.678506414754342,
        4.67852683922719,
        4.6785472637000405,
        4.6785676881728895,
        4.678588112645739,
        4.678608537118589,
        4.678628961591437,
        4.678649386064287,
        4.678669810537136,
        4.678690235009986,
        4.678710659482837,
        4.678731083955685,
        4.678751508428535,
        4.678771932901384,
        4.678792357374234,
        4.678812781847083,
        4.678833206319932,
        4.678853630792782,
        4.678874055265631,
        4.6788944797384815,
        4.67891490421133,
        4.6789353286841795,
        4.6789557531570285,
        4.678976177629878,
        4.678996602102728,
        4.679017026575576,
        4.679037451048426,
        4.679057875521276,
        4.679078299994126,
        4.679098724466976,
        4.679119148939824,
        4.679139573412674,
        4.679159997885523,
        4.679180422358373,
        4.679200846831222,
        4.679221271304072,
        4.679241695776922,
        4.679262120249771,
        4.6792825447226205,
        4.679302969195469,
        4.6793233936683185,
        4.6793438181411675,
        4.679364242614017,
        4.679384667086868,
        4.679405091559716,
        4.679425516032566,
        4.679445940505415,
        4.679466364978265,
        4.679486789451115,
        4.679507213923963,
        4.679527638396813,
        4.679548062869662,
        4.679568487342513,
        4.679588911815362,
        4.679609336288211,
        4.679629760761061,
        4.67965018523391,
        4.6796706097067595,
        4.679691034179608,
        4.6797114586524575,
        4.679731883125307,
        4.679752307598157,
        4.679772732071007,
        4.679793156543855,
        4.679813581016705,
        4.679834005489554,
        4.679854429962404,
        4.679874854435254,
        4.679895278908103,
        4.679915703380953,
        4.679936127853802,
        4.679956552326652,
        4.679976976799501,
        4.67999740127235,
        4.6800178257452,
        4.680038250218049,
        4.680058674690899,
        4.6800790991637475,
        4.680099523636597,
        4.680119948109446,
        4.680140372582296,
        4.680160797055146,
        4.680181221527994,
        4.680201646000844,
        4.680222070473693,
        4.680242494946544,
        4.680262919419394,
        4.680283343892242,
        4.680303768365092,
        4.680324192837941,
        4.680344617310791,
        4.68036504178364,
        4.680385466256489,
        4.6804058907293395,
        4.6804263152021885,
        4.680446739675038,
        4.6804671641478865,
        4.680487588620736,
        4.680508013093585,
        4.680528437566435,
        4.680548862039285,
        4.680569286512134,
        4.680589710984984,
        4.680610135457833,
        4.680630559930683,
        4.680650984403533,
        4.680671408876381,
        4.680691833349231,
        4.68071225782208,
        4.680732682294931,
        4.68075310676778,
        4.680773531240629,
        4.680793955713479,
        4.680814380186328,
        4.6808348046591775,
        4.680855229132026,
        4.6808756536048755,
        4.6808960780777245,
        4.680916502550575,
        4.680936927023425,
        4.680957351496273,
        4.680977775969123,
        4.680998200441972,
        4.681018624914822,
        4.681039049387672,
        4.68105947386052,
        4.681079898333371,
        4.68110032280622,
        4.68112074727907,
        4.681141171751919,
        4.681161596224768,
        4.681182020697618,
        4.681202445170467,
        4.6812228696433165,
        4.6812432941161655,
        4.681263718589015,
        4.681284143061864,
        4.681304567534714,
        4.681324992007564,
        4.681345416480412,
        4.681365840953262,
        4.681386265426111,
        4.681406689898962,
        4.681427114371812,
        4.68144753884466,
        4.68146796331751,
        4.681488387790359,
        4.681508812263209,
        4.681529236736058,
        4.681549661208907,
        4.681570085681757,
        4.6815905101546065,
        4.681610934627456,
        4.6816313591003045,
        4.681651783573154,
        4.6819785751387455,
        4.681998999611595,
        4.6820194240844435,
        4.682039848557293,
        4.682060273030142,
        4.682080697502993,
        4.682101121975843,
        4.682121546448691,
        4.682141970921541,
        4.68216239539439,
        4.68218281986724,
        4.68220324434009,
        4.682223668812938,
        4.682244093285788,
        4.682264517758638,
        4.682284942231488,
        4.682305366704337,
        4.682325791177186,
        4.6823462156500355,
        4.6823666401228845,
        4.682387064595734,
        4.6824074890685825,
        4.682427913541433,
        4.682448338014282,
        4.682468762487132,
        4.682489186959982,
        4.68250961143283,
        4.68253003590568,
        4.682550460378529,
        4.682570884851379,
        4.68259130932423,
        4.682611733797078,
        4.682632158269928,
        4.682652582742777,
        4.682673007215627,
        4.682693431688476,
        4.682713856161325,
        4.6827342806341745,
        4.682754705107024,
        4.682775129579874,
        4.682795554052722,
        4.682815978525572,
        4.682836402998421,
        4.682856827471271,
        4.682877251944121,
        4.682897676416969,
        4.682918100889819,
        4.682938525362669,
        4.682958949835519,
        4.682979374308369,
        4.682999798781217,
        4.683020223254067,
        4.683040647726916,
        4.683061072199766,
        4.683081496672615,
        4.6831019211454645,
        4.683122345618314,
        4.683142770091163,
        4.683163194564013,
        4.683183619036861,
        4.683204043509711,
        4.68322446798256,
        4.68324489245541,
        4.683265316928261,
        4.683285741401109,
        4.683306165873959,
        4.683326590346808,
        4.683347014819658,
        4.683367439292508,
        4.683387863765356,
        4.683408288238206,
        4.683428712711056,
        4.6834491371839055,
        4.6834695616567545,
        4.6834899861296035,
        4.683510410602453,
        4.683530835075302,
        4.683551259548152,
        4.683571684021,
        4.68359210849385,
        4.6836125329667,
        4.68363295743955,
        4.6836533819124,
        4.683673806385248,
        4.683694230858098,
        4.683714655330947,
        4.683735079803797,
        4.683755504276647,
        4.683775928749496,
        4.683796353222346,
        4.683816777695195,
        4.6838372021680446,
        4.683857626640894,
        4.683878051113743,
        4.6838984755865924,
        4.6839189000594414,
        4.683939324532292,
        4.68395974900514,
        4.68398017347799,
        4.684000597950839,
        4.684021022423689,
        4.684041446896539,
        4.684061871369387,
        4.684082295842237,
        4.684102720315087,
        4.684123144787937,
        4.684143569260787,
        4.684163993733635,
        4.684184418206485,
        4.684204842679334,
        4.684225267152184,
        4.684245691625033,
        4.684266116097882,
        4.684286540570732,
        4.684306965043581,
        4.684327389516431,
        4.684347813989279,
        4.684368238462129,
        4.684388662934978,
        4.684409087407828,
        4.684429511880678,
        4.684449936353527,
        4.684470360826377,
        4.684490785299226,
        4.684511209772076,
        4.684531634244926,
        4.684552058717774,
        4.684572483190624,
        4.684592907663473,
        4.6846133321363235,
        4.6846337566091725,
        4.6846541810820215,
        4.684674605554871,
        4.68469503002772,
        4.68471545450057,
        4.684735878973418,
        4.684756303446268,
        4.684776727919118,
        4.684797152391968,
        4.684817576864818,
        4.684838001337666,
        4.684858425810516,
        4.684878850283365,
        4.684899274756215,
        4.684919699229065,
        4.684940123701913,
        4.684960548174764,
        4.684980972647613,
        4.6850013971204625,
        4.6850218215933115,
        4.6850422460661605,
        4.68506267053901,
        4.685083095011859,
        4.685103519484709,
        4.685123943957558,
        4.685144368430408,
        4.685164792903257,
        4.685185217376107,
        4.685205641848957,
        4.685226066321805,
        4.685246490794655,
        4.685266915267504,
        4.685287339740355,
        4.685307764213205,
        4.685328188686053,
        4.685348613158903,
        4.685369037631752,
        4.6853894621046015,
        4.6854098865774505,
        4.6854303110502995,
        4.68545073552315,
        4.685471159995999,
        4.685491584468849,
        4.685512008941697,
        4.685532433414547,
        4.685552857887396,
        4.685573282360246,
        4.685593706833096,
        4.685614131305944,
        4.685634555778795,
        4.685654980251644,
        4.685675404724494,
        4.685695829197344,
        4.685716253670192,
        4.685736678143042,
        4.685757102615891,
        4.6857775270887405,
        4.68579795156159,
        4.685818376034439,
        4.685838800507289,
        4.685859224980138,
        4.685879649452988,
        4.685900073925836,
        4.685920498398686,
        4.685940922871535,
        4.685961347344386,
        4.685981771817236,
        4.686002196290084,
        4.686022620762934,
        4.686043045235783,
        4.686063469708633,
        4.686083894181483,
        4.686104318654331,
        4.6861247431271815,
        4.6861451676000305,
        4.68616559207288,
        4.6861860165457285,
        4.686206441018578,
        4.686226865491428,
        4.686247289964277,
        4.686267714437127,
        4.686288138909975,
        4.686308563382826,
        4.686328987855675,
        4.686349412328525,
        4.686369836801375,
        4.686390261274223,
        4.686410685747073,
        4.686431110219922,
        4.686451534692772,
        4.6864719591656225,
        4.686492383638471,
        4.6865128081113205,
        4.6865332325841695,
        4.686553657057019,
        4.686574081529868,
        4.686594506002717,
        4.686614930475567,
        4.686635354948417,
        4.686655779421267,
        4.686676203894115,
        4.686696628366965,
        4.686717052839814,
        4.686737477312664,
        4.686757901785514,
        4.686778326258362,
        4.686798750731213,
        4.686819175204062,
        4.686839599676912,
        4.6868600241497615,
        4.68688044862261,
        4.6869008730954596,
        4.6869212975683086,
        4.686941722041158,
        4.6869621465140066,
        4.686982570986857,
        4.687002995459707,
        4.687023419932556,
        4.687043844405406,
        4.687064268878254,
        4.687084693351104,
        4.687105117823953,
        4.687125542296803,
        4.687145966769654,
        4.687166391242502,
        4.687186815715352,
        4.687207240188201,
        4.687227664661051,
        4.687248089133901,
        4.687268513606749,
        4.687288938079599,
        4.6873093625524485,
        4.687329787025298,
        4.687350211498147,
        4.687370635970996,
        4.687391060443846,
        4.687411484916695,
        4.687431909389545,
        4.687452333862393,
        4.687472758335244,
        4.687493182808093,
        4.687513607280943,
        4.687534031753793,
        4.687554456226641,
        4.687574880699491,
        4.68759530517234,
        4.68761572964519,
        4.68763615411804,
        4.687656578590889,
        4.6876770030637385,
        4.6876974275365875,
        4.687717852009437,
        4.6877382764822855,
        4.687758700955135,
        4.687779125427985,
        4.687799549900834,
        4.687819974373685,
        4.687840398846533,
        4.687860823319383,
        4.687881247792232,
        4.687901672265082,
        4.687922096737932,
        4.68794252121078,
        4.68796294568363,
        4.68798337015648,
        4.68800379462933,
        4.6880242191021795,
        4.688044643575028,
        4.6880650680478775,
        4.6880854925207265,
        4.688105916993576,
        4.6881263414664245,
        4.688146765939274,
        4.688167190412125,
        4.688187614884974,
        4.688208039357824,
        4.688228463830672,
        4.688248888303522,
        4.688269312776371,
        4.688289737249221,
        4.688310161722071,
        4.68833058619492,
        4.68835101066777,
        4.688371435140619,
        4.688391859613469,
        4.6884122840863185,
        4.688432708559167,
        4.6884531330320165,
        4.6884735575048655,
        4.688493981977716,
        4.688514406450564,
        4.688534830923414,
        4.688555255396264,
        4.688575679869113,
        4.688596104341963,
        4.688616528814811,
        4.688636953287661,
        4.688657377760511,
        4.688677802233361,
        4.688698226706211,
        4.688718651179059,
        4.688739075651909,
        4.688759500124758,
        4.688779924597608,
        4.6888003490704575,
        4.688820773543306,
        4.688841198016156,
        4.688861622489005,
        4.688882046961855,
        4.688902471434703,
        4.688922895907553,
        4.688943320380403,
        4.688963744853252,
        4.688984169326102,
        4.689004593798951,
        4.689025018271801,
        4.68904544274465,
        4.6890658672175,
        4.68908629169035,
        4.689106716163198,
        4.689127140636048,
        4.689147565108897,
        4.6891679895817475,
        4.689188414054597,
        4.6892088385274455,
        4.689229263000295,
        4.689249687473144,
        4.689270111945994,
        4.689290536418842,
        4.689310960891692,
        4.689331385364543,
        4.689351809837392,
        4.689372234310242,
        4.68939265878309,
        4.68941308325594,
        4.689433507728789,
        4.689453932201639,
        4.689474356674489,
        4.689494781147337,
        4.689515205620188,
        4.689535630093037,
        4.6895560545658865,
        4.689576479038736,
        4.6895969035115845,
        4.689617327984434,
        4.689637752457283,
        4.689658176930133,
        4.689678601402982,
        4.689699025875832,
        4.689719450348682,
        4.689739874821531,
        4.689760299294381,
        4.689780723767229,
        4.689801148240079,
        4.689821572712928,
        4.689841997185779,
        4.689862421658629,
        4.689882846131477,
        4.689903270604327,
        4.689923695077176,
        4.6899441195500255,
        4.689964544022875,
        4.6899849684957235,
        4.690005392968574,
        4.690025817441423,
        4.690046241914273,
        4.690066666387121,
        4.690087090859971,
        4.690107515332821,
        4.69012793980567,
        4.69014836427852,
        4.690168788751368,
        4.690189213224219,
        4.690209637697068,
        4.690230062169918,
        4.690250486642768,
        4.690270911115616,
        4.690291335588466,
        4.690311760061315,
        4.690332184534165,
        4.690352609007015,
        4.6903730334798635,
        4.690393457952713,
        4.690413882425562,
        4.690434306898412,
        4.69045473137126,
        4.69047515584411,
        4.69049558031696,
        4.69051600478981,
        4.69053642926266,
        4.690556853735508,
        4.690577278208358,
        4.690597702681207,
        4.690618127154057,
        4.690638551626907,
        4.690658976099755,
        4.690679400572606,
        4.690699825045455,
        4.6907202495183045,
        4.690740673991154,
        4.6907610984640025,
        4.690781522936852,
        4.690801947409701,
        4.690822371882551,
        4.690842796355399,
        4.69086322082825,
        4.6908836453011,
        4.690904069773949,
        4.690924494246799,
        4.690944918719647,
        4.690965343192497,
        4.690985767665346,
        4.691006192138196,
        4.691026616611047,
        4.691047041083895,
        4.691067465556745,
        4.691087890029594,
        4.6911083145024435,
        4.691128738975293,
        4.6911491634481415,
        4.691169587920991,
        4.691190012393841,
        4.691210436866691,
        4.691230861339539,
        4.691251285812389,
        4.691271710285239,
        4.691292134758088,
        4.691312559230938,
        4.691332983703786,
        4.691353408176637,
        4.691373832649486,
        4.691394257122336,
        4.691414681595186,
        4.691435106068034,
        4.691455530540884,
        4.691475955013733,
        4.6914963794865825,
        4.691516803959432,
        4.691537228432281,
        4.691557652905131,
        4.69157807737798,
        4.69159850185083,
        4.691618926323678,
        4.691639350796528,
        4.691659775269378,
        4.691680199742227,
        4.691761897633625,
        4.691782322106475,
        4.691802746579325,
        4.691823171052173,
        4.691843595525023,
        4.6918640199978725,
        4.691884444470722,
        4.691904868943572,
        4.69192529341642,
        4.69194571788927,
        4.691966142362119,
        4.691986566834969,
        4.692006991307817,
        4.692027415780668,
        4.692047840253518,
        4.692068264726367,
        4.692088689199217,
        4.692109113672065,
        4.692129538144915,
        4.692149962617764,
        4.692170387090614,
        4.692190811563464,
        4.692211236036313,
        4.6922316605091625,
        4.6922520849820115,
        4.692272509454861,
        4.692292933927711,
        4.692313358400559,
        4.692333782873409,
        4.692354207346258,
        4.692374631819109,
        4.692395056291957,
        4.692415480764807,
        4.692435905237657,
        4.692456329710506,
        4.692476754183356,
        4.692497178656204,
        4.692517603129054,
        4.692538027601904,
        4.692558452074754,
        4.6925788765476035,
        4.692599301020452,
        4.6926197254933015,
        4.6926401499661505,
        4.692660574439,
        4.69268099891185,
        4.692701423384699,
        4.692721847857549,
        4.692742272330398,
        4.692762696803248,
        4.692783121276096,
        4.692803545748946,
        4.692823970221796,
        4.692844394694645,
        4.692864819167495,
        4.692885243640344,
        4.692905668113194,
        4.692926092586043,
        4.692946517058893,
        4.6929669415317425,
        4.692987366004591,
        4.6930077904774405,
        4.6930282149502895,
        4.69304863942314,
        4.69306906389599,
        4.693089488368838,
        4.693109912841688,
        4.693130337314537,
        4.693150761787387,
        4.693171186260235,
        4.693191610733085,
        4.693212035205936,
        4.693232459678785,
        4.693252884151635,
        4.693273308624483,
        4.693293733097333,
        4.693314157570182,
        4.693334582043032,
        4.6933550065158816,
        4.693375430988731,
        4.6933958554615804,
        4.6934162799344294,
        4.693436704407279,
        4.693457128880129,
        4.693477553352977,
        4.693497977825827,
        4.693518402298676,
        4.693538826771526,
        4.693559251244375,
        4.693579675717225,
        4.693600100190075,
        4.693620524662924,
        4.693640949135774,
        4.693661373608622,
        4.693681798081472,
        4.693702222554321,
        4.693722647027172,
        4.6937430715000215,
        4.69376349597287,
        4.6937839204457195,
        4.6938043449185685,
        4.693824769391418,
        4.693845193864268,
        4.693865618337116,
        4.693886042809967,
        4.693906467282816,
        4.693926891755666,
        4.693947316228514,
        4.693967740701364,
        4.693988165174214,
        4.694008589647063,
        4.694029014119913,
        4.694049438592762,
        4.694069863065612,
        4.694090287538461,
        4.694110712011311,
        4.6941311364841605,
        4.694151560957009,
        4.6941719854298585,
        4.6941924099027075,
        4.694212834375557,
        4.694233258848408,
        4.694253683321256,
        4.694274107794106,
        4.694294532266955,
        4.694314956739805,
        4.694335381212653,
        4.694355805685503,
        4.694376230158353,
        4.694396654631203,
        4.694417079104053,
        4.694437503576901,
        4.694457928049751,
        4.6944783525226,
        4.69449877699545,
        4.6945192014682995,
        4.694539625941148,
        4.694560050413998,
        4.694580474886847,
        4.694600899359697,
        4.694621323832547,
        4.694641748305395,
        4.694662172778245,
        4.694682597251094,
        4.694703021723944,
        4.694723446196793,
        4.694743870669643,
        4.694764295142493,
        4.694784719615342,
        4.694805144088192,
        4.69482556856104,
        4.69484599303389,
        4.694866417506739,
        4.694886841979589,
        4.694907266452439,
        4.6949276909252875,
        4.694948115398137,
        4.694968539870986,
        4.694988964343836,
        4.695009388816686,
        4.695029813289534,
        4.695050237762384,
        4.695070662235234,
        4.695091086708084,
        4.695111511180932,
        4.695131935653782,
        4.695152360126632,
        4.695172784599481,
        4.695193209072331,
        4.695213633545179,
        4.69523405801803,
        4.695254482490879,
        4.6952749069637285,
        4.695295331436578,
        4.6953157559094265,
        4.695336180382276,
        4.695356604855125,
        4.695377029327975,
        4.695397453800825,
        4.695417878273674,
        4.695438302746524,
        4.695458727219373,
        4.695479151692223,
        4.695499576165071,
        4.695520000637921,
        4.695540425110771,
        4.69556084958362,
        4.695581274056471,
        4.695601698529319,
        4.695622123002169,
        4.695642547475018,
        4.6956629719478675,
        4.695683396420717,
        4.6957038208935655,
        4.695724245366415,
        4.695744669839265,
        4.695765094312115,
        4.695785518784965,
        4.695805943257813,
        4.695826367730663,
        4.695846792203512,
        4.695867216676362,
        4.69588764114921,
        4.695908065622061,
        4.695928490094911,
        4.69594891456776,
        4.69596933904061,
        4.695989763513458,
        4.696010187986308,
        4.696030612459157,
        4.6960510369320065,
        4.696071461404857,
        4.696091885877705,
        4.696112310350555,
        4.696132734823404,
        4.696153159296254,
        4.696173583769103,
        4.696194008241952,
        4.696214432714802,
        4.696234857187651,
        4.696255281660502,
        4.69627570613335,
        4.6962961306062,
        4.69631655507905,
        4.696336979551899,
        4.696357404024749,
        4.696377828497597,
        4.696398252970447,
        4.6964186774432966,
        4.696439101916146,
        4.696459526388996,
        4.696479950861844,
        4.696500375334694,
        4.696520799807543,
        4.696541224280393,
        4.696561648753243,
        4.696582073226092,
        4.696602497698942,
        4.696622922171791,
        4.696643346644641,
        4.696663771117489,
        4.696684195590339,
        4.696704620063189,
        4.696725044536038,
        4.696745469008889,
        4.696765893481737,
        4.696786317954587,
        4.696806742427436,
        4.6968271669002855,
        4.696847591373135,
        4.6968680158459835,
        4.696888440318833,
        4.696908864791682,
        4.696929289264533,
        4.696949713737382,
        4.696970138210231,
        4.696990562683081,
        4.69701098715593,
        4.69703141162878,
        4.697051836101628,
        4.697072260574478,
        4.697092685047329,
        4.697113109520178,
        4.697133533993028,
        4.697153958465876,
        4.697174382938726,
        4.697194807411575,
        4.6972152318844245,
        4.697235656357274,
        4.697256080830123,
        4.697276505302973,
        4.697296929775822,
        4.697317354248672,
        4.697337778721521,
        4.69735820319437,
        4.69737862766722,
        4.697399052140069,
        4.69741947661292,
        4.697439901085768,
        4.697460325558618,
        4.697480750031468,
        4.697501174504317,
        4.697521598977167,
        4.697542023450015,
        4.697562447922865,
        4.697582872395714,
        4.697603296868564,
        4.697623721341414,
        4.697644145814262,
        4.697664570287112,
        4.697684994759961,
        4.697705419232811,
        4.69772584370566,
        4.697746268178509,
        4.69776669265136,
        4.697787117124209,
        4.697807541597059,
        4.697827966069907,
        4.697848390542757,
        4.697868815015607,
        4.697889239488456,
        4.697909663961306,
        4.697930088434155,
        4.6979505129070045,
        4.6979709373798535,
        4.697991361852703,
        4.698011786325553,
        4.698032210798401,
        4.698052635271251,
        4.6980730597441,
        4.698093484216951,
        4.6981139086898,
        4.698134333162649,
        4.698154757635499,
        4.698175182108348,
        4.698195606581198,
        4.698216031054046,
        4.698236455526896,
        4.698256879999746,
        4.698277304472596,
        4.6982977289454455,
        4.698318153418294,
        4.6983385778911435,
        4.6983590023639925,
        4.698379426836842,
        4.698399851309692,
        4.69842027578254,
        4.698440700255391,
        4.69846112472824,
        4.69848154920109,
        4.698501973673939,
        4.698522398146788,
        4.698542822619638,
        4.698563247092487,
        4.698583671565337,
        4.698604096038186,
        4.698624520511036,
        4.698644944983886,
        4.698665369456735,
        4.6986857939295845,
        4.698706218402433,
        4.6987266428752825,
        4.6987470673481315,
        4.698767491820982,
        4.698787916293832,
        4.69880834076668,
        4.69882876523953,
        4.698849189712379,
        4.698869614185229,
        4.698890038658078,
        4.698910463130927,
        4.698930887603777,
        4.698951312076627,
        4.698971736549477,
        4.698992161022325,
        4.699012585495175,
        4.699033009968025,
        4.699053434440874,
        4.6990738589137235,
        4.699094283386572,
        4.699114707859422,
        4.699135132332271,
        4.699155556805121,
        4.699175981277971,
        4.699196405750819,
        4.699216830223669,
        4.699237254696518,
        4.699257679169368,
        4.699278103642218,
        4.699298528115067,
        4.699318952587917,
        4.699339377060766,
        4.699359801533616,
        4.699380226006464,
        4.699400650479314,
        4.699421074952164,
        4.699441499425013,
        4.699461923897863,
        4.6994823483707115,
        4.699502772843561,
        4.69952319731641,
        4.69954362178926,
        4.69956404626211,
        4.699584470734958,
        4.699604895207808,
        4.699625319680658,
        4.699645744153508,
        4.699666168626357,
        4.699686593099206,
        4.699707017572056,
        4.699727442044905,
        4.699747866517755,
        4.699768290990603,
        4.699788715463454,
        4.699809139936304,
        4.699829564409153,
        4.6998499888820024,
        4.699870413354851,
        4.6998908378277005,
        4.6999112623005495,
        4.699931686773399,
        4.69995211124625,
        4.699972535719098,
        4.699992960191948,
        4.700013384664797,
        4.700033809137647,
        4.700054233610496,
        4.700074658083345,
        4.700095082556195,
        4.700115507029044,
        4.700135931501895,
        4.700156355974743,
        4.700176780447593,
        4.700197204920443,
        4.700217629393292,
        4.7002380538661415,
        4.70025847833899,
        4.7002789028118395,
        4.700299327284689,
        4.700319751757539,
        4.700544420958882,
        4.700564845431732,
        4.700585269904582,
        4.700605694377431,
        4.700626118850281,
        4.7006465433231295,
        4.700666967795979,
        4.700687392268828,
        4.700707816741678,
        4.700728241214528,
        4.700748665687376,
        4.700769090160226,
        4.700789514633075,
        4.700809939105926,
        4.700830363578775,
        4.700850788051624,
        4.700871212524474,
        4.700891636997323,
        4.700912061470173,
        4.700932485943021,
        4.700952910415871,
        4.7009733348887215,
        4.7009937593615705,
        4.70101418383442,
        4.7010346083072685,
        4.701055032780118,
        4.701075457252967,
        4.701095881725817,
        4.701116306198667,
        4.701136730671516,
        4.701157155144366,
        4.701177579617215,
        4.701198004090065,
        4.701218428562914,
        4.701238853035763,
        4.701259277508613,
        4.701279701981462,
        4.701300126454313,
        4.701320550927161,
        4.701340975400011,
        4.7013613998728605,
        4.7013818243457095,
        4.701402248818559,
        4.7014226732914075,
        4.701443097764257,
        4.701463522237106,
        4.701483946709957,
        4.701504371182807,
        4.701524795655655,
        4.701545220128505,
        4.701565644601354,
        4.701586069074204,
        4.701606493547053,
        4.701626918019902,
        4.701647342492753,
        4.701667766965602,
        4.701688191438452,
        4.701872011694096,
        4.701892436166946,
        4.701912860639794,
        4.701933285112644,
        4.701953709585493,
        4.701974134058344,
        4.701994558531193,
        4.702014983004042,
        4.702035407476892,
        4.702055831949741,
        4.702076256422591,
        4.702096680895439,
        4.702117105368289,
        4.7021375298411385,
        4.702157954313988,
        4.702178378786838,
        4.702198803259686,
        4.702219227732536,
        4.702239652205385,
        4.702260076678235,
        4.702280501151085,
        4.702300925623933,
        4.702321350096784,
        4.702341774569633,
        4.702362199042483,
        4.702382623515332,
        4.702403047988181,
        4.702423472461031,
        4.70244389693388,
        4.70246432140673,
        4.702484745879579,
        4.7025051703524285,
        4.702525594825278,
        4.702546019298127,
        4.702566443770977,
        4.702586868243825,
        4.702607292716675,
        4.702627717189524,
        4.702648141662375,
        4.702668566135225,
        4.702688990608073,
        4.702709415080923,
        4.702729839553772,
        4.702750264026622,
        4.702770688499471,
        4.70279111297232,
        4.70281153744517,
        4.70283196191802,
        4.7028523863908696,
        4.702872810863718,
        4.702893235336568,
        4.7029136598094174,
        4.7029340842822664,
        4.702954508755116,
        4.7029749332279644,
        4.702995357700815,
        4.703015782173664,
        4.703036206646514,
        4.703056631119364,
        4.703077055592212,
        4.703097480065062,
        4.703117904537911,
        4.703138329010761,
        4.703158753483611,
        4.70317917795646,
        4.70319960242931,
        4.703220026902159,
        4.703240451375009,
        4.703260875847857,
        4.703281300320707,
        4.7033017247935565,
        4.703322149266406,
        4.703342573739256,
        4.703362998212104,
        4.703383422684954,
        4.703403847157803,
        4.703424271630653,
        4.703444696103503,
        4.703465120576351,
        4.703485545049201,
        4.703505969522051,
        4.703526393994901,
        4.70354681846775,
        4.703567242940599,
        4.703587667413449,
        4.703608091886298,
        4.703628516359148,
        4.703648940831996,
        4.7036693653048465,
        4.703689789777696,
        4.703710214250545,
        4.703730638723395,
        4.703751063196243,
        4.703771487669093,
        4.703791912141942,
        4.703812336614792,
        4.703832761087643,
        4.703853185560491,
        4.703873610033341,
        4.70389403450619,
        4.70391445897904,
        4.703934883451889,
        4.703955307924738,
        4.703975732397588,
        4.703996156870438,
        4.7040165813432875,
        4.704037005816136,
        4.7040574302889855,
        4.704077854761835,
        4.704098279234684,
        4.704118703707534,
        4.704139128180382,
        4.704159552653232,
        4.704179977126082,
        4.704200401598932,
        4.704220826071782,
        4.70424125054463,
        4.70426167501748,
        4.704282099490329,
        4.704302523963179,
        4.704322948436028,
        4.704343372908878,
        4.704363797381728,
        4.704384221854577,
        4.7044046463274265,
        4.704425070800275,
        4.7044454952731245,
        4.704465919745974,
        4.704486344218823,
        4.704506768691674,
        4.704527193164522,
        4.704547617637372,
        4.704568042110221,
        4.704588466583071,
        4.70460889105592,
        4.704629315528769,
        4.704649740001619,
        4.704670164474469,
        4.704690588947319,
        4.704711013420168,
        4.704731437893017,
        4.704751862365867,
        4.704772286838716,
        4.7047927113115655,
        4.704813135784414,
        4.7048335602572635,
        4.704853984730114,
        4.704874409202963,
        4.704894833675813,
        4.704915258148661,
        4.704935682621511,
        4.70495610709436,
        4.70497653156721,
        4.70499695604006,
        4.705017380512909,
        4.705037804985759,
        4.705058229458608,
        4.705078653931458,
        4.705099078404307,
        4.705119502877156,
        4.705139927350006,
        4.705160351822855,
        4.705180776295705,
        4.7052012007685535,
        4.705221625241403,
        4.705242049714253,
        4.705262474187102,
        4.705282898659952,
        4.7053033231328,
        4.70532374760565,
        4.7053441720785,
        4.70536459655135,
        4.705385021024199,
        4.705405445497048,
        4.705425869969898,
        4.705446294442747,
        4.705466718915597,
        4.705487143388446,
        4.705507567861295,
        4.7055279923341455,
        4.7055484168069945,
        4.705568841279844,
        4.7055892657526925,
        4.705609690225542,
        4.705630114698392,
        4.705650539171241,
        4.705670963644091,
        4.70569138811694,
        4.70571181258979,
        4.705732237062639,
        4.705752661535489,
        4.705773086008339,
        4.705793510481187,
        4.705813934954037,
        4.705834359426886,
        4.705854783899737,
        4.705875208372586,
        4.705895632845435,
        4.7059160573182846,
        4.7059364817911336,
        4.705956906263983,
        4.7059773307368316,
        4.705997755209681,
        4.706018179682532,
        4.706038604155381,
        4.706059028628231,
        4.706079453101079,
        4.706099877573929,
        4.706120302046778,
        4.706140726519628,
        4.706161150992477,
        4.706181575465326,
        4.706201999938177,
        4.706222424411026,
        4.706242848883876,
        4.706263273356725,
        4.706283697829574,
        4.706304122302424,
        4.706324546775273,
        4.7063449712481225,
        4.7063653957209715,
        4.706385820193821,
        4.706406244666671,
        4.70642666913952,
        4.70644709361237,
        4.706467518085218,
        4.706487942558068,
        4.706508367030917,
        4.706528791503768,
        4.706549215976617,
        4.706569640449466,
        4.706590064922316,
        4.706610489395165,
        4.706630913868015,
        4.706651338340864,
        4.706671762813713,
        4.7066921872865635,
        4.7067126117594125,
        4.706733036232262,
        4.7067534607051105,
        4.70677388517796,
        4.70679430965081,
        4.706814734123659,
        4.706835158596509,
        4.706855583069357,
        4.706876007542208,
        4.706896432015057,
        4.706916856487907,
        4.706937280960756,
        4.706957705433605,
        4.706978129906455,
        4.706998554379304,
        4.707018978852154,
        4.707039403325004,
        4.707059827797853,
        4.7070802522707025,
        4.7071006767435515,
        4.707121101216401,
        4.7071415256892495,
        4.707161950162099,
        4.707182374634949,
        4.707202799107799,
        4.707223223580649,
        4.707243648053497,
        4.707264072526347,
        4.707284496999196,
        4.707304921472046,
        4.707325345944895,
        4.707345770417744,
        4.707366194890595,
        4.707386619363444,
        4.707407043836294,
        4.707427468309143,
        4.707447892781992,
        4.7074683172548415,
        4.7074887417276905,
        4.70750916620054,
        4.7075295906733885,
        4.707550015146239,
        4.707570439619089,
        4.707590864091938,
        4.707611288564788,
        4.707631713037636,
        4.707652137510486,
        4.707672561983335,
        4.707692986456185,
        4.707713410929035,
        4.707733835401884,
        4.707754259874734,
        4.707774684347583,
        4.707795108820433,
        4.707815533293282,
        4.707835957766131,
        4.7078563822389805,
        4.70787680671183,
        4.70789723118468,
        4.707917655657528,
        4.707938080130378,
        4.707958504603228,
        4.707978929076077,
        4.707999353548927,
        4.708019778021775,
        4.708040202494626,
        4.708060626967475,
        4.708081051440325,
        4.708101475913174,
        4.708121900386023,
        4.708142324858873,
        4.708162749331722,
        4.708183173804572,
        4.708203598277421,
        4.7082240227502705,
        4.70824444722312,
        4.708264871695969,
        4.708285296168819,
        4.708305720641667,
        4.708326145114517,
        4.708346569587367,
        4.708366994060216,
        4.708387418533067,
        4.708407843005915,
        4.708428267478765,
        4.708448691951614,
        4.708469116424464,
        4.708489540897313,
        4.708509965370162,
        4.708530389843012,
        4.708550814315862,
        4.7085712387887115,
        4.7085916632615605,
        4.7086120877344095,
        4.708632512207259,
        4.708652936680108,
        4.708673361152958,
        4.708693785625806,
        4.708714210098657,
        4.708734634571507,
        4.708755059044356,
        4.708775483517206,
        4.708795907990054,
        4.708816332462904,
        4.708836756935753,
        4.708857181408603,
        4.708877605881452,
        4.708898030354302,
        4.708918454827152,
        4.708938879300001,
        4.7089593037728505,
        4.7089797282456995,
        4.7090001527185485,
        4.709020577191398,
        4.709041001664247,
        4.709061426137098,
        4.709081850609946,
        4.709102275082796,
        4.709122699555646,
        4.709143124028495,
        4.709163548501345,
        4.709306519811291,
        4.70932694428414,
        4.70934736875699,
        4.709367793229839,
        4.7093882177026885,
        4.709408642175538,
        4.709429066648387,
        4.709449491121237,
        4.709469915594085,
        4.709490340066935,
        4.709510764539785,
        4.709531189012634,
        4.709551613485484,
        4.709572037958333,
        4.709592462431183,
        4.709612886904032,
        4.709633311376882,
        4.709653735849731,
        4.70967416032258,
        4.70969458479543,
        4.709715009268279,
        4.7097354337411295,
        4.7097558582139785,
        4.7097762826868275,
        4.709796707159677,
        4.709817131632526,
        4.709837556105376,
        4.709857980578224,
        4.709878405051074,
        4.709898829523925,
        4.709919253996774,
        4.709939678469624,
        4.709960102942472,
        4.709980527415322,
        4.710000951888171,
        4.710021376361021,
        4.71004180083387,
        4.710062225306719,
        4.71008264977957,
        4.710103074252419,
        4.7101234987252685,
        4.7101439231981175,
        4.7101643476709665,
        4.710184772143816,
        4.710205196616665,
        4.710225621089515,
        4.710246045562364,
        4.710266470035214,
        4.710286894508064,
        4.710307318980913,
        4.710327743453763,
        4.710348167926611,
        4.710368592399461,
        4.71038901687231,
        4.710409441345161,
        4.71042986581801,
        4.710450290290859,
        4.710470714763709,
        4.710491139236558,
        4.7105115637094075,
        4.7105319881822565,
        4.7105524126551055,
        4.710572837127956,
        4.710593261600805,
        4.710613686073655,
        4.710634110546503,
        4.710654535019353,
        4.710674959492203,
        4.710695383965052,
        4.710715808437902,
        4.71073623291075,
        4.710756657383601,
        4.71077708185645,
        4.7107975063293,
        4.710817930802149,
        4.710838355274998,
        4.710858779747848,
        4.710879204220697,
        4.7108996286935465,
        4.710920053166396,
        4.710940477639245,
        4.710960902112095,
        4.710981326584944,
        4.711001751057794,
        4.711022175530642,
        4.711042600003492,
        4.711063024476342,
        4.711083448949192,
        4.711103873422042,
        4.71112429789489,
        4.71114472236774,
        4.711165146840589,
        4.711185571313439,
        4.711205995786288,
        4.711226420259137,
        4.7112468447319875,
        4.7112672692048365,
        4.711287693677686,
        4.711308118150535,
        4.711328542623384,
        4.711348967096234,
        4.711369391569083,
        4.711389816041933,
        4.711410240514781,
        4.711430664987632,
        4.711451089460482,
        4.711471513933331,
        4.711491938406181,
        4.711512362879029,
        4.711532787351879,
        4.711553211824728,
        4.711573636297578,
        4.711594060770428,
        4.711614485243277,
        4.7116349097161265,
        4.7116553341889755,
        4.711675758661825,
        4.711696183134674,
        4.711716607607523,
        4.711737032080373,
        4.711757456553223,
        4.711777881026073,
        4.711798305498921,
        4.711818729971771,
        4.711839154444621,
        4.71185957891747,
        4.71188000339032,
        4.711900427863168,
        4.711920852336019,
        4.711941276808868,
        4.711961701281718,
        4.711982125754567,
        4.712002550227416,
        4.7120229747002655,
        4.7120433991731145,
        4.712063823645964,
        4.712084248118813,
        4.712104672591663,
        4.712125097064513,
        4.712145521537362,
        4.712165946010212,
        4.71218637048306,
        4.71220679495591,
        4.71222721942876,
        4.712247643901609,
        4.71226806837446,
        4.712288492847308,
        4.712308917320158,
        4.712329341793007,
        4.712349766265857,
        4.712370190738706,
        4.712390615211555,
        4.712411039684405,
        4.7124314641572544,
        4.712451888630104,
        4.712472313102953,
        4.712492737575802,
        4.712513162048652,
        4.712533586521501,
        4.712554010994351,
        4.712574435467199,
        4.71259485994005,
        4.7126152844129,
        4.712635708885749,
        4.712656133358599,
        4.712676557831447,
        4.712696982304297,
        4.712717406777146,
        4.712737831249996,
        4.712758255722845,
        4.712778680195695,
        4.7127991046685445,
        4.7128195291413935,
        4.712839953614243,
        4.712860378087092,
        4.712880802559941,
        4.712901227032791,
        4.71292165150564,
        4.712942075978491,
        4.712962500451339,
        4.712982924924189,
        4.713003349397039,
        4.713023773869888,
        4.713044198342738,
        4.713064622815586,
        4.713085047288436,
        4.713105471761286,
        4.713125896234136,
        4.713146320706985,
        4.713166745179834,
        4.7131871696526835,
        4.7132075941255325,
        4.713228018598382,
        4.713248443071231,
        4.713268867544081,
        4.713289292016931,
        4.71330971648978,
        4.71333014096263,
        4.713350565435478,
        4.713370989908328,
        4.713391414381178,
        4.713411838854027,
        4.713432263326877,
        4.713452687799726,
        4.713473112272576,
        4.713493536745425,
        4.713513961218275,
        4.713534385691124,
        4.713554810163973,
        4.7135752346368225,
        4.7135956591096715,
        4.713616083582522,
        4.713636508055371,
        4.71365693252822,
        4.71367735700107,
        4.713697781473919,
        4.713718205946769,
        4.713738630419617,
        4.713759054892467,
        4.713779479365318,
        4.713799903838167,
        4.713820328311016,
        4.713840752783865,
        4.713861177256715,
        4.713881601729564,
        4.713902026202414,
        4.713922450675263,
        4.7139428751481125,
        4.713963299620962,
        4.713983724093811,
        4.714004148566661,
        4.71402457303951,
        4.714044997512359,
        4.714065421985209,
        4.714085846458058,
        4.714106270930908,
        4.714126695403757,
        4.714147119876607,
        4.714167544349457,
        4.714187968822306,
        4.714208393295156,
        4.714228817768004,
        4.714249242240854,
        4.714269666713703,
        4.7142900911865535,
        4.7143105156594025,
        4.7143309401322515,
        4.714351364605101,
        4.71437178907795,
        4.7143922135508,
        4.714412638023649,
        4.714433062496498,
        4.714453486969349,
        4.714473911442198,
        4.714494335915048,
        4.714514760387896,
        4.714535184860746,
        4.714555609333596,
        4.714576033806445,
        4.714596458279294,
        4.714616882752144,
        4.714637307224994,
        4.714657731697843,
        4.7146781561706925,
        4.7146985806435415,
        4.7147190051163905,
        4.71473942958924,
        4.714759854062089,
        4.714780278534939,
        4.714800703007789,
        4.714821127480638,
        4.714841551953488,
        4.714861976426337,
        4.714882400899187,
        4.714902825372035,
        4.714923249844885,
        4.714943674317735,
        4.714964098790585,
        4.714984523263435,
        4.715004947736283,
        4.715025372209133,
        4.715045796681982,
        4.7150662211548315,
        4.7150866456276805,
        4.7151070701005295,
        4.71512749457338,
        4.715147919046229,
        4.715168343519079,
        4.715188767991928,
        4.715209192464777,
        4.715229616937627,
        4.715250041410476,
        4.715270465883326,
        4.715290890356175,
        4.715311314829025,
        4.715331739301875,
        4.715352163774724,
        4.715372588247573,
        4.715393012720422,
        4.715413437193272,
        4.715433861666121,
        4.7154542861389706,
        4.71547471061182,
        4.715495135084669,
        4.715515559557519,
        4.715535984030368,
        4.715556408503218,
        4.715576832976067,
        4.715597257448916,
        4.715617681921766,
        4.715638106394616,
        4.715658530867466,
        4.715678955340314,
        4.715699379813164,
        4.715719804286014,
        4.715740228758863,
        4.715760653231713,
        4.715781077704561,
        4.715801502177412,
        4.715821926650261,
        4.7158423511231105,
        4.7158627755959595,
        4.7158832000688085,
        4.715903624541658,
        4.715924049014507,
        4.715944473487357,
        4.715964897960207,
        4.715985322433056,
        4.716005746905906,
        4.716026171378755,
        4.716046595851605,
        4.716067020324453,
        4.716087444797303,
        4.716107869270153,
        4.716128293743002,
        4.716148718215852,
        4.716169142688701,
        4.716189567161551,
        4.7162099916344,
        4.7162304161072495,
        4.7162508405800985,
        4.7162712650529475,
        4.716291689525797,
        4.716312113998647,
        4.716332538471497,
        4.716352962944346,
        4.716373387417195,
        4.716393811890045,
        4.716414236362894,
        4.716434660835744,
        4.716455085308592,
        4.716475509781443,
        4.716495934254293,
        4.716516358727142,
        4.716536783199991,
        4.71655720767284,
        4.71657763214569,
        4.716598056618539,
        4.7166184810913885,
        4.716638905564238,
        4.716659330037087,
        4.716679754509937,
        4.716700178982786,
        4.716720603455636,
        4.716741027928485,
        4.716761452401334,
        4.716781876874184,
        4.716802301347033,
        4.716822725819884,
        4.716843150292732,
        4.716863574765582,
        4.716883999238432,
        4.716904423711281,
        4.71692484818413,
        4.716945272656979,
        4.716965697129829,
        4.7169861216026785,
        4.717006546075528,
        4.717026970548377,
        4.717047395021226,
        4.717067819494076,
        4.717088243966925,
        4.717108668439775,
        4.717129092912624,
        4.717149517385474,
        4.717169941858324,
        4.717190366331173,
        4.717210790804023,
        4.717231215276871,
        4.717251639749721,
        4.717272064222571,
        4.71729248869542,
        4.71731291316827,
        4.717333337641119,
        4.7173537621139685,
        4.7173741865868175,
        4.717394611059667,
        4.717415035532516,
        4.717435460005365,
        4.717455884478215,
        4.717476308951064,
        4.717496733423915,
        4.717517157896764,
        4.717537582369613,
        4.717558006842463,
        4.717578431315312,
        4.717598855788162,
        4.71761928026101,
        4.71763970473386,
        4.717660129206711,
        4.71768055367956,
        4.717700978152409,
        4.717721402625258,
        4.7177418270981075,
        4.7177622515709565,
        4.717782676043806,
        4.717803100516655,
        4.717823524989505,
        4.717843949462355,
        4.717864373935204,
        4.717884798408054,
        4.717905222880903,
        4.717925647353752,
        4.717946071826602,
        4.717966496299451,
        4.717986920772302,
        4.71800734524515,
        4.718027769718,
        4.71804819419085,
        4.718068618663699,
        4.718089043136548,
        4.718109467609397,
        4.718232014446494,
        4.718252438919343,
        4.718272863392193,
        4.718293287865042,
        4.718313712337891,
        4.718334136810742,
        4.718354561283591,
        4.718374985756441,
        4.718395410229289,
        4.718415834702139,
        4.718436259174989,
        4.718456683647838,
        4.718477108120687,
        4.7184975325935365,
        4.718517957066386,
        4.718538381539235,
        4.718558806012085,
        4.718579230484934,
        4.718599654957783,
        4.718620079430633,
        4.718640503903482,
        4.718660928376333,
        4.718681352849182,
        4.718701777322031,
        4.718722201794881,
        4.71874262626773,
        4.71876305074058,
        4.718783475213428,
        4.718803899686278,
        4.718824324159128,
        4.718844748631978,
        4.718865173104827,
        4.718885597577676,
        4.7189060220505255,
        4.7189264465233745,
        4.718946870996224,
        4.718967295469073,
        4.718987719941922,
        4.719008144414773,
        4.719028568887622,
        4.719048993360472,
        4.719069417833321,
        4.71908984230617,
        4.71911026677902,
        4.719130691251869,
        4.719151115724719,
        4.719171540197568,
        4.719191964670418,
        4.719212389143268,
        4.719232813616117,
        4.719253238088966,
        4.719273662561815,
        4.7192940870346645,
        4.7193145115075135,
        4.719334935980364,
        4.719355360453213,
        4.719375784926062,
        4.719396209398912,
        4.719416633871761,
        4.719437058344611,
        4.71945748281746,
        4.719477907290309,
        4.719498331763159,
        4.719518756236009,
        4.719539180708859,
        4.719559605181707,
        4.719580029654557,
        4.719600454127407,
        4.719620878600256,
        4.719641303073105,
        4.719661727545954,
        4.719682152018804,
        4.719702576491653,
        4.719723000964503,
        4.719743425437352,
        4.719763849910201,
        4.719784274383051,
        4.7198046988559,
        4.71982512332875,
        4.7198455478016,
        4.719865972274449,
        4.719886396747299,
        4.719906821220148,
        4.719927245692998,
        4.719947670165846,
        4.719968094638696,
        4.719988519111546,
        4.7200089435843955,
        4.7200293680572445,
        4.7200497925300935,
        4.720070217002943,
        4.720090641475792,
        4.720111065948642,
        4.720131490421491,
        4.72015191489434,
        4.72017233936719,
        4.72019276384004,
        4.72021318831289,
        4.720233612785739,
        4.720254037258588,
        4.720274461731438,
        4.720294886204287,
        4.720315310677137,
        4.720335735149985,
        4.720356159622836,
        4.7203765840956855,
        4.7203970085685345,
        4.7204174330413835,
        4.7204378575142325,
        4.720458281987082,
        4.720478706459931,
        4.720499130932781,
        4.720519555405631,
        4.72053997987848,
        4.72056040435133,
        4.720580828824179,
        4.720601253297029,
        4.720621677769878,
        4.720642102242727,
        4.720662526715577,
        4.720682951188427,
        4.720703375661277,
        4.720723800134125,
        4.720744224606975,
        4.7207646490798245,
        4.7207850735526735,
        4.7208054980255225,
        4.7208259224983715,
        4.720846346971221,
        4.720866771444071,
        4.720887195916921,
        4.72090762038977,
        4.720928044862619,
        4.720948469335469,
        4.720968893808318,
        4.720989318281168,
        4.721009742754017,
        4.721030167226867,
        4.721050591699717,
        4.721071016172566,
        4.721091440645416,
        4.721111865118264,
        4.721132289591114,
        4.7211527140639635,
        4.7211731385368125,
        4.721193563009662,
        4.721213987482511,
        4.721234411955361,
        4.72125483642821,
        4.72127526090106,
        4.721295685373909,
        4.721316109846758,
        4.721336534319608,
        4.721356958792457,
        4.721377383265308,
        4.721397807738157,
        4.721418232211006,
        4.721438656683856,
        4.721459081156705,
        4.721479505629555,
        4.721499930102403,
        4.721520354575253,
        4.721540779048103,
        4.721561203520952,
        4.721581627993801,
        4.72160205246665,
        4.7216224769395,
        4.721642901412349,
        4.721663325885199,
        4.721683750358048,
        4.721704174830898,
        4.721724599303748,
        4.721745023776597,
        4.721765448249447,
        4.721785872722296,
        4.721806297195145,
        4.721826721667995,
        4.721847146140844,
        4.7218675706136946,
        4.721887995086543,
        4.7219084195593926,
        4.7219288440322424,
        4.7219492685050914,
        4.7219696929779404,
        4.7219901174507894,
        4.722010541923639,
        4.722030966396488,
        4.722051390869339,
        4.722071815342188,
        4.722092239815037,
        4.722112664287887,
        4.722133088760736,
        4.722153513233586,
        4.722173937706435,
        4.722194362179284,
        4.722214786652135,
        4.722235211124984,
        4.722255635597834,
        4.722276060070682,
        4.722296484543532,
        4.7223169090163815,
        4.7223373334892305,
        4.7223577579620795,
        4.722378182434929,
        4.722398606907779,
        4.722419031380628,
        4.722439455853478,
        4.722459880326327,
        4.722480304799176,
        4.722500729272026,
        4.722521153744875,
        4.722541578217726,
        4.722562002690575,
        4.722582427163424,
        4.722602851636274,
        4.722623276109123,
        4.722643700581973,
        4.722664125054821,
        4.722684549527671,
        4.7227049740005205,
        4.72272539847337,
        4.722745822946219,
        4.722766247419068,
        4.722786671891918,
        4.722807096364767,
        4.722827520837617,
        4.722847945310466,
        4.722868369783315,
        4.722888794256166,
        4.722909218729015,
        4.722929643201865,
        4.722950067674714,
        4.722970492147563,
        4.722990916620413,
        4.723011341093262,
        4.723031765566111,
        4.723052190038961,
        4.7230726145118105,
        4.72309303898466,
        4.723113463457509,
        4.723133887930358,
        4.723154312403207,
        4.723174736876057,
        4.723195161348906,
        4.723215585821757,
        4.723236010294606,
        4.723256434767455,
        4.723276859240305,
        4.723297283713154,
        4.723317708186004,
        4.723338132658853,
        4.723358557131702,
        4.723378981604552,
        4.723399406077402,
        4.7234198305502515,
        4.7234402550231,
        4.7234606794959495,
        4.723481103968799,
        4.723501528441648,
        4.723521952914497,
        4.723542377387346,
        4.723562801860197,
        4.723583226333046,
        4.723603650805896,
        4.723624075278745,
        4.723644499751594,
        4.723664924224444,
        4.723685348697293,
        4.723705773170143,
        4.723726197642993,
        4.723746622115842,
        4.723767046588692,
        4.723787471061541,
        4.72380789553439,
        4.723828320007239,
        4.7238487444800885,
        4.723869168952938,
        4.723889593425788,
        4.723910017898637,
        4.723930442371486,
        4.723950866844336,
        4.723971291317185,
        4.723991715790035,
        4.724012140262884,
        4.724032564735733,
        4.724052989208583,
        4.724073413681433,
        4.724093838154283,
        4.724114262627132,
        4.724134687099981,
        4.724155111572831,
        4.72417553604568,
        4.7241959605185295,
        4.724216384991378,
        4.724236809464228,
        4.724257233937078,
        4.724277658409927,
        4.724298082882776,
        4.724318507355625,
        4.724338931828475,
        4.724359356301324,
        4.724379780774174,
        4.724400205247024,
        4.724420629719873,
        4.724441054192723,
        4.724461478665572,
        4.724481903138422,
        4.724502327611271,
        4.72452275208412,
        4.72454317655697,
        4.7245636010298195,
        4.7245840255026685,
        4.7246044499755175,
        4.724624874448367,
        4.724645298921217,
        4.724665723394066,
        4.724686147866915,
        4.724706572339764,
        4.724726996812614,
        4.724747421285464,
        4.724767845758314,
        4.724788270231163,
        4.724808694704012,
        4.724829119176862,
        4.724849543649711,
        4.724869968122561,
        4.72489039259541,
        4.72491081706826,
        4.7249312415411096,
        4.7249516660139586,
        4.724972090486808,
        4.7249925149596566,
        4.725012939432506,
        4.725033363905356,
        4.725053788378205,
        4.725074212851055,
        4.725094637323904,
        4.725115061796754,
        4.725135486269603,
        4.725155910742453,
        4.725176335215302,
        4.725196759688151,
        4.725217184161001,
        4.725237608633851,
        4.725258033106701,
        4.72527845757955,
        4.725298882052399,
        4.725319306525249,
        4.725339730998098,
        4.725360155470947,
        4.725380579943796,
        4.7254010044166455,
        4.725421428889496,
        4.725441853362345,
        4.725462277835194,
        4.725482702308043,
        4.725503126780893,
        4.725523551253742,
        4.725543975726592,
        4.725564400199441,
        4.725584824672291,
        4.725605249145141,
        4.72562567361799,
        4.72564609809084,
        4.725666522563689,
        4.725686947036538,
        4.725707371509388,
        4.725727795982237,
        4.7257482204550865,
        4.7257686449279355,
        4.725789069400785,
        4.725809493873635,
        4.725829918346484,
        4.725850342819333,
        4.725870767292182,
        4.725891191765032,
        4.725911616237882,
        4.725932040710732,
        4.725952465183581,
        4.72597288965643,
        4.72599331412928,
        4.726013738602129,
        4.726034163074979,
        4.726054587547828,
        4.726075012020677,
        4.7260954364935275,
        4.7261158609663765,
        4.7261362854392255,
        4.7261567099120745,
        4.726177134384924,
        4.726197558857774,
        4.726217983330623,
        4.726238407803472,
        4.726258832276322,
        4.726279256749172,
        4.726299681222021,
        4.726320105694871,
        4.72634053016772,
        4.726360954640569,
        4.726381379113419,
        4.726401803586268,
        4.726422228059119,
        4.726442652531968,
        4.726463077004817,
        4.7264835014776665,
        4.7265039259505155,
        4.7265243504233645,
        4.7265447748962135,
        4.726565199369063,
        4.726585623841914,
        4.726606048314763,
        4.726626472787612,
        4.726646897260461,
        4.726667321733311,
        4.72668774620616,
        4.72670817067901,
        4.726728595151859,
        4.726749019624708,
        4.726769444097559,
        4.726789868570408,
        4.726810293043258,
        4.726830717516107,
        4.726851141988956,
        4.7268715664618055,
        4.7268919909346545,
        4.7269124154075035,
        4.726932839880353,
        4.726953264353203,
        4.726973688826053,
        4.726994113298902,
        4.727014537771751,
        4.7270349622446,
        4.72705538671745,
        4.727075811190299,
        4.72709623566315,
        4.727116660135999,
        4.727137084608848,
        4.727157509081698,
        4.727280055918794,
        4.727300480391643,
        4.727320904864492,
        4.727341329337342,
        4.727361753810192,
        4.727382178283041,
        4.72740260275589,
        4.727423027228739,
        4.72744345170159,
        4.727463876174439,
        4.727484300647289,
        4.727504725120138,
        4.727525149592987,
        4.727545574065837,
        4.727565998538686,
        4.727586423011536,
        4.7276068474843855,
        4.7276272719572345,
        4.727647696430084,
        4.727668120902933,
        4.727688545375782,
        4.727708969848631,
        4.727729394321481,
        4.727749818794331,
        4.727770243267181,
        4.72779066774003,
        4.727811092212879,
        4.727831516685729,
        4.727851941158578,
        4.727872365631428,
        4.727892790104277,
        4.727913214577126,
        4.727933639049977,
        4.727954063522826,
        4.7279744879956755,
        4.7279949124685245,
        4.7280153369413735,
        4.728035761414223,
        4.728056185887072,
        4.728076610359921,
        4.72809703483277,
        4.728117459305621,
        4.728137883778471,
        4.72815830825132,
        4.728178732724169,
        4.728199157197018,
        4.728219581669868,
        4.728240006142717,
        4.728260430615567,
        4.728280855088417,
        4.728975287165297,
        4.728995711638147,
        4.729016136110996,
        4.729036560583846,
        4.729056985056695,
        4.729077409529544,
        4.729097834002394,
        4.729118258475244,
        4.7291386829480935,
        4.7291591074209425,
        4.7291795318937915,
        4.729199956366641,
        4.72922038083949,
        4.729240805312339,
        4.729261229785188,
        4.729281654258039,
        4.729302078730889,
        4.729322503203738,
        4.729342927676587,
        4.729363352149436,
        4.729383776622286,
        4.729404201095135,
        4.729424625567985,
        4.729445050040834,
        4.729465474513684,
        4.729485898986534,
        4.729506323459383,
        4.7295267479322325,
        4.7295471724050815,
        4.7295675968779305,
        4.72958802135078,
        4.729608445823629,
        4.729628870296479,
        4.729649294769328,
        4.729669719242178,
        4.729690143715028,
        4.729710568187877,
        4.729730992660726,
        4.729751417133575,
        4.729771841606425,
        4.729792266079275,
        4.730037359753467,
        4.730057784226317,
        4.730078208699167,
        4.730098633172016,
        4.730119057644865,
        4.730139482117715,
        4.730159906590565,
        4.730180331063414,
        4.730200755536264,
        4.730221180009113,
        4.730241604481962,
        4.730262028954812,
        4.730282453427661,
        4.730302877900511,
        4.73032330237336,
        4.730343726846209,
        4.730364151319059,
        4.730527547101854,
        4.730547971574704,
        4.730568396047553,
        4.730588820520403,
        4.730609244993252,
        4.730629669466102,
        4.7306500939389515,
        4.7306705184118005,
        4.73069094288465,
        4.730711367357499,
        4.730731791830348,
        4.730752216303198,
        4.730772640776047,
        4.730793065248896,
        4.730813489721746,
        4.730833914194596,
        4.730854338667446,
        4.730874763140295,
        4.730895187613144,
        4.730915612085993,
        4.730936036558843,
        4.730956461031692,
        4.730976885504543,
        4.730997309977392,
        4.731017734450241,
        4.7310381589230905,
        4.7310585833959395,
        4.731079007868789,
        4.731099432341638,
        4.731119856814487,
        4.731140281287338,
        4.731160705760187,
        4.731181130233036,
        4.731201554705885,
        4.731221979178735,
        4.731242403651585,
        4.731262828124434,
        4.731283252597283,
        4.731303677070133,
        4.731324101542983,
        4.731344526015832,
        4.731364950488682,
        4.731385374961531,
        4.73140579943438,
        4.7314262239072296,
        4.731446648380079,
        4.731467072852928,
        4.731487497325778,
        4.731507921798627,
        4.731528346271477,
        4.731548770744326,
        4.731569195217175,
        4.731589619690024,
        4.731610044162874,
        4.731630468635724,
        4.731650893108574,
        4.731671317581423,
        4.731691742054272,
        4.731712166527122,
        4.731732590999971,
        4.731753015472821,
        4.73177343994567,
        4.731793864418519,
        4.7318142888913695,
        4.7318347133642185,
        4.731855137837068,
        4.731875562309917,
        4.731895986782766,
        4.731916411255616,
        4.731936835728465,
        4.731957260201314,
        4.731977684674163,
        4.731998109147014,
        4.732018533619864,
        4.732038958092713,
        4.732059382565562,
        4.732079807038411,
        4.732100231511261,
        4.73212065598411,
        4.73214108045696,
        4.73216150492981,
        4.732181929402659,
        4.7322023538755085,
        4.7322227783483575,
        4.732243202821207,
        4.732263627294056,
        4.732284051766905,
        4.732304476239755,
        4.732324900712605,
        4.732345325185454,
        4.732365749658303,
        4.732386174131153,
        4.732406598604003,
        4.732427023076852,
        4.732447447549701,
        4.73246787202255,
        4.732488296495401,
        4.73250872096825,
        4.7325291454411,
        4.732549569913949,
        4.732569994386798,
        4.7325904188596475,
        4.7326108433324965,
        4.732631267805346,
        4.732651692278195,
        4.732672116751045,
        4.732692541223895,
        4.732712965696744,
        4.732733390169593,
        4.732753814642442,
        4.732774239115292,
        4.732794663588142,
        4.732815088060991,
        4.732835512533841,
        4.73285593700669,
        4.73287636147954,
        4.732896785952389,
        4.732917210425239,
        4.732937634898088,
        4.732958059370937,
        4.7329784838437865,
        4.732998908316636,
        4.733019332789485,
        4.733039757262335,
        4.733060181735184,
        4.733080606208034,
        4.733101030680883,
        4.733121455153732,
        4.733141879626581,
        4.733162304099432,
        4.733182728572282,
        4.733203153045131,
        4.73322357751798,
        4.733244001990829,
        4.733264426463679,
        4.733284850936528,
        4.733305275409378,
        4.733325699882227,
        4.7333461243550765,
        4.733366548827926,
        4.733386973300775,
        4.733407397773625,
        4.733427822246474,
        4.733448246719323,
        4.733468671192173,
        4.733489095665022,
        4.733509520137872,
        4.733529944610721,
        4.733550369083571,
        4.733570793556421,
        4.73359121802927,
        4.733611642502119,
        4.733632066974968,
        4.733652491447818,
        4.733672915920668,
        4.7336933403935175,
        4.7337137648663665,
        4.7337341893392155,
        4.733754613812065,
        4.733775038284914,
        4.733795462757763,
        4.733815887230613,
        4.733836311703463,
        4.733856736176313,
        4.733877160649162,
        4.733897585122011,
        4.73391800959486,
        4.73393843406771,
        4.73395885854056,
        4.733979283013409,
        4.733999707486258,
        4.734020131959108,
        4.734040556431958,
        4.734060980904807,
        4.7340814053776565,
        4.7341018298505055,
        4.7341222543233545,
        4.734142678796204,
        4.734163103269053,
        4.734183527741904,
        4.734203952214753,
        4.734224376687602,
        4.734244801160452,
        4.734265225633301,
        4.73428565010615,
        4.734306074578999,
        4.734326499051849,
        4.7343469235247,
        4.734367347997549,
        4.734387772470398,
        4.734408196943247,
        4.734428621416097,
        4.734449045888946,
        4.7344694703617956,
        4.7344898948346446,
        4.734510319307494,
        4.734530743780344,
        4.734551168253193,
        4.734571592726042,
        4.734592017198892,
        4.734612441671741,
        4.734632866144591,
        4.73465329061744,
        4.734673715090289,
        4.734694139563139,
        4.734714564035989,
        4.734734988508839,
        4.734755412981688,
        4.734775837454537,
        4.734796261927386,
        4.734816686400236,
        4.734837110873085,
        4.7348575353459355,
        4.7348779598187845,
        4.7348983842916335,
        4.734918808764483,
        4.734939233237332,
        4.734959657710182,
        4.734980082183031,
        4.73500050665588,
        4.735020931128731,
        4.73504135560158,
        4.735061780074429,
        4.735082204547278,
        4.735102629020128,
        4.735123053492978,
        4.735143477965827,
        4.735163902438676,
        4.735184326911526,
        4.735204751384376,
        4.735225175857225,
        4.7352456003300745,
        4.7352660248029235,
        4.7352864492757725,
        4.735306873748622,
        4.735327298221471,
        4.73534772269432,
        4.735368147167171,
        4.73538857164002,
        4.73540899611287,
        4.735429420585719,
        4.735449845058568,
        4.735470269531417,
        4.735490694004267,
        4.735511118477117,
        4.735531542949967,
        4.735551967422816,
        4.735572391895665,
        4.735592816368515,
        4.735613240841364,
        4.7356336653142135,
        4.7356540897870625,
        4.7356745142599115,
        4.735694938732762,
        4.735715363205611,
        4.73573578767846,
        4.73575621215131,
        4.735776636624159,
        4.735797061097009,
        4.735817485569858,
        4.735837910042707,
        4.735858334515557,
        4.735878758988407,
        4.735899183461257,
        4.735919607934106,
        4.735940032406955,
        4.735960456879804,
        4.735980881352654,
        4.736001305825503,
        4.7360217302983525,
        4.736042154771202,
        4.736062579244051,
        4.736083003716901,
        4.73610342818975,
        4.736123852662599,
        4.736144277135449,
        4.736164701608298,
        4.736185126081148,
        4.736205550553998,
        4.736225975026847,
        4.736246399499696,
        4.736266823972546,
        4.736287248445396,
        4.736307672918245,
        4.7363893708096425,
        4.736409795282492,
        4.736430219755341,
        4.73645064422819,
        4.73647106870104,
        4.736491493173889,
        4.736511917646738,
        4.736532342119589,
        4.736552766592438,
        4.736573191065288,
        4.736593615538137,
        4.736614040010986,
        4.736634464483835,
        4.736654888956685,
        4.736675313429535,
        4.736695737902384,
        4.736716162375234,
        4.736736586848083,
        4.7367570113209325,
        4.7367774357937815,
        4.736797860266631,
        4.73681828473948,
        4.736838709212329,
        4.736859133685179,
        4.736879558158029,
        4.736899982630878,
        4.736920407103728,
        4.736940831576577,
        4.736961256049427,
        4.736981680522276,
        4.737002104995125,
        4.737022529467974,
        4.737042953940825,
        4.737063378413675,
        4.737083802886524,
        4.737104227359373,
        4.737124651832222,
        4.7371450763050715,
        4.7371655007779205,
        4.73718592525077,
        4.73720634972362,
        4.737226774196469,
        4.737247198669319,
        4.737267623142168,
        4.737288047615017,
        4.737308472087867,
        4.737328896560716,
        4.737349321033566,
        4.737369745506415,
        4.737390169979265,
        4.737410594452114,
        4.737431018924964,
        4.737451443397814,
        4.737471867870663,
        4.737492292343512,
        4.737512716816361,
        4.7375331412892105,
        4.73755356576206,
        4.73757399023491,
        4.737594414707759,
        4.737614839180608,
        4.737635263653458,
        4.737655688126307,
        4.737676112599156,
        4.737696537072006,
        4.737716961544856,
        4.737737386017706,
        4.737757810490555,
        4.737778234963404,
        4.737798659436253,
        4.737819083909103,
        4.737839508381953,
        4.737859932854802,
        4.737880357327652,
        4.737900781800501,
        4.7379212062733504,
        4.7379416307461995,
        4.737962055219049,
        4.737982479691898,
        4.738002904164747,
        4.738023328637597,
        4.738043753110446,
        4.738064177583296,
        4.738084602056146,
        4.738105026528995,
        4.738125451001845,
        4.738145875474694,
        4.738166299947543,
        4.738186724420392,
        4.738207148893242,
        4.738227573366093,
        4.738247997838942,
        4.738268422311791,
        4.73828884678464,
        4.7383092712574895,
        4.7383296957303385,
        4.738350120203188,
        4.738370544676037,
        4.738390969148887,
        4.738411393621737,
        4.738431818094586,
        4.738452242567435,
        4.738472667040285,
        4.738493091513134,
        4.738513515985984,
        4.738533940458833,
        4.738554364931683,
        4.738574789404532,
        4.738595213877382,
        4.738615638350232,
        4.738636062823081,
        4.73865648729593,
        4.738676911768779,
        4.7386973362416285,
        4.7387177607144775,
        4.738738185187328,
        4.738758609660177,
        4.738779034133026,
        4.738799458605876,
        4.738819883078725,
        4.738840307551574,
        4.738860732024424,
        4.738881156497273,
        4.738901580970124,
        4.738922005442973,
        4.738942429915822,
        4.738962854388671,
        4.738983278861521,
        4.739003703334371,
        4.73902412780722,
        4.739044552280069,
        4.7390649767529185,
        4.739085401225768,
        4.739105825698617,
        4.739126250171467,
        4.739146674644316,
        4.739167099117165,
        4.739187523590015,
        4.739207948062864,
        4.739228372535714,
        4.739248797008564,
        4.739269221481413,
        4.739289645954263,
        4.739310070427112,
        4.739330494899961,
        4.73935091937281,
        4.73937134384566,
        4.73939176831851,
        4.7394121927913595,
        4.7394326172642085,
        4.7394530417370575,
        4.739473466209907,
        4.739493890682756,
        4.739514315155606,
        4.739534739628455,
        4.739555164101304,
        4.739575588574155,
        4.739596013047004,
        4.739616437519853,
        4.739636861992703,
        4.739657286465552,
        4.739677710938402,
        4.739698135411251,
        4.7397185598841,
        4.73973898435695,
        4.7397594088298,
        4.7397798333026495,
        4.7398002577754985,
        4.7398206822483475,
        4.7398411067211965,
        4.739861531194046,
        4.739881955666895,
        4.739902380139746,
        4.739922804612595,
        4.739943229085444,
        4.739963653558294,
        4.739984078031143,
        4.740004502503992,
        4.740024926976842,
        4.740045351449691,
        4.740065775922541,
        4.740086200395391,
        4.74010662486824,
        4.740127049341089,
        4.740147473813939,
        4.7401678982867885,
        4.7401883227596375,
        4.7402087472324865,
        4.7402291717053355,
        4.740249596178186,
        4.740270020651035,
        4.740290445123885,
        4.740310869596734,
        4.740331294069583,
        4.740351718542433,
        4.740372143015282,
        4.740392567488131,
        4.740412991960982,
        4.740433416433831,
        4.740453840906681,
        4.74047426537953,
        4.740494689852379,
        4.740515114325228,
        4.740535538798078,
        4.7405559632709275,
        4.740576387743777,
        4.740596812216626,
        4.740617236689475,
        4.740637661162325,
        4.740658085635174,
        4.740678510108024,
        4.740698934580873,
        4.740719359053722,
        4.740739783526572,
        4.740760207999422,
        4.740780632472271,
        4.740801056945121,
        4.74082148141797,
        4.74084190589082,
        4.740862330363669,
        4.740882754836518,
        4.740903179309367,
        4.7409236037822176,
        4.740944028255067,
        4.7409644527279164,
        4.7409848772007654,
        4.7410053016736144,
        4.741025726146464,
        4.741046150619313,
        4.741066575092163,
        4.741086999565013,
        4.741107424037862,
        4.741127848510712,
        4.741148272983561,
        4.74116869745641,
        4.74118912192926,
        4.741209546402109,
        4.741229970874959,
        4.741250395347809,
        4.741270819820658,
        4.741291244293507,
        4.741311668766357,
        4.7413320932392065,
        4.7413525177120555,
        4.7413729421849045,
        4.7413933666577535,
        4.741413791130603,
        4.741434215603453,
        4.741454640076303,
        4.741475064549152,
        4.741495489022001,
        4.741515913494851,
        4.7415363379677,
        4.741556762440549,
        4.741577186913399,
        4.741597611386249,
        4.741618035859099,
        4.741638460331948,
        4.741658884804797,
        4.741679309277646,
        4.741699733750496,
        4.7417201582233455,
        4.7417405826961945,
        4.741761007169044,
        4.741781431641893,
        4.741801856114743,
        4.741822280587592,
        4.741842705060442,
        4.741863129533291,
        4.74188355400614,
        4.74190397847899,
        4.74192440295184,
        4.741944827424689,
        4.741965251897539,
        4.741985676370388,
        4.742006100843238,
        4.742026525316087,
        4.742046949788936,
        4.742067374261785,
        4.742087798734635,
        4.742108223207485,
        4.742128647680334,
        4.742149072153183,
        4.742169496626032,
        4.742189921098882,
        4.742210345571731,
        4.74223077004458,
        4.74225119451743,
        4.74227161899028,
        4.74229204346313,
        4.742312467935979,
        4.742332892408828,
        4.742353316881678,
        4.742373741354527,
        4.742394165827377,
        4.742414590300226,
        4.742435014773076,
        4.742455439245925,
        4.7424758637187745,
        4.742496288191624,
        4.742516712664473,
        4.742537137137322,
        4.742557561610171,
        4.742577986083021,
        4.742598410555871,
        4.742618835028721,
        4.74263925950157,
        4.742659683974419,
        4.742680108447269,
        4.742700532920118,
        4.742720957392967,
        4.742741381865817,
        4.742761806338666,
        4.742782230811517,
        4.742802655284366,
        4.742823079757215,
        4.742843504230064,
        4.7428639287029135,
        4.742884353175763,
        4.742904777648612,
        4.742925202121461,
        4.742945626594311,
        4.742966051067161,
        4.74298647554001,
        4.743006900012859,
        4.743027324485709,
        4.743047748958558,
        4.743068173431408,
        4.743088597904257,
        4.743109022377107,
        4.743129446849957,
        4.743149871322806,
        4.743170295795656,
        4.743190720268505,
        4.743211144741354,
        4.743231569214203,
        4.7432519936870525,
        4.743272418159902,
        4.743292842632752,
        4.743313267105601,
        4.74333369157845,
        4.7433541160513,
        4.743374540524149,
        4.743394964996999,
        4.743415389469848,
        4.743435813942697,
        4.743456238415548,
        4.743476662888397,
        4.743497087361246,
        4.743517511834096,
        4.743537936306945,
        4.743558360779795,
        4.743578785252644,
        4.743599209725493,
        4.7436196341983425,
        4.743640058671192,
        4.743660483144042,
        4.743680907616891,
        4.74370133208974,
        4.743721756562589,
        4.743742181035439,
        4.743762605508288,
        4.743783029981138,
        4.743803454453988,
        4.743823878926837,
        4.743844303399687,
        4.743864727872536,
        4.743885152345385,
        4.743905576818235,
        4.743926001291084,
        4.743946425763934,
        4.7439668502367836,
        4.7439872747096326,
        4.7440076991824816,
        4.744028123655331,
        4.744048548128181,
        4.74406897260103,
        4.744089397073879,
        4.744109821546728,
        4.744130246019579,
        4.744150670492428,
        4.744171094965278,
        4.744191519438127,
        4.744211943910976,
        4.744232368383826,
        4.744252792856675,
        4.744273217329524,
        4.744334490748074,
        4.744354915220923,
        4.744375339693772,
        4.744395764166621,
        4.7444161886394705,
        4.74443661311232,
        4.74445703758517,
        4.744477462058019,
        4.744497886530868,
        4.744518311003718,
        4.744538735476567,
        4.744559159949416,
        4.744579584422266,
        4.744600008895115,
        4.744620433367965,
        4.744640857840815,
        4.744661282313664,
        4.744681706786514,
        4.744702131259363,
        4.744722555732213,
        4.744742980205062,
        4.744763404677911,
        4.74478382915076,
        4.74480425362361,
        4.74482467809646,
        4.744845102569309,
        4.744865527042158,
        4.744885951515007,
        4.744906375987857,
        4.744926800460706,
        4.744947224933555,
        4.744967649406406,
        4.744988073879255,
        4.745008498352105,
        4.745028922824954,
        4.745049347297803,
        4.745069771770653,
        4.745090196243502,
        4.745110620716352,
        4.7451310451892015,
        4.7451514696620505,
        4.7451718941348995,
        4.745192318607749,
        4.745212743080599,
        4.745233167553448,
        4.745253592026297,
        4.745274016499146,
        4.745294440971996,
        4.745314865444846,
        4.745335289917695,
        4.745355714390545,
        4.745376138863394,
        4.745396563336244,
        4.745416987809093,
        4.745437412281942,
        4.745457836754792,
        4.745478261227642,
        4.7454986857004915,
        4.7455191101733405,
        4.7455395346461895,
        4.7455599591190385,
        4.745662081483286,
        4.745682505956136,
        4.745702930428985,
        4.745723354901834,
        4.745743779374684,
        4.745764203847533,
        4.745784628320383,
        4.745805052793233,
        4.745825477266082,
        4.745845901738932,
        4.745866326211781,
        4.7458867506846305,
        4.7459071751574795,
        4.7459275996303285,
        4.7459480241031775,
        4.745968448576027,
        4.745988873048878,
        4.746009297521727,
        4.746029721994576,
        4.746050146467425,
        4.746070570940275,
        4.746090995413124,
        4.746111419885973,
        4.746131844358823,
        4.746152268831673,
        4.746172693304523,
        4.746193117777372,
        4.746213542250221,
        4.746233966723071,
        4.74625439119592,
        4.7462748156687695,
        4.7462952401416185,
        4.746315664614468,
        4.746336089087317,
        4.746356513560167,
        4.746376938033017,
        4.746397362505866,
        4.746417786978715,
        4.746438211451564,
        4.746458635924414,
        4.746479060397264,
        4.746499484870113,
        4.746519909342963,
        4.746540333815812,
        4.746560758288662,
        4.746581182761511,
        4.74660160723436,
        4.74662203170721,
        4.746642456180059,
        4.746662880652909,
        4.746683305125758,
        4.746703729598607,
        4.746724154071456,
        4.746744578544306,
        4.746765003017156,
        4.746785427490005,
        4.746805851962854,
        4.746826276435704,
        4.746846700908554,
        4.746867125381403,
        4.746887549854252,
        4.746907974327102,
        4.746928398799951,
        4.746948823272801,
        4.74696924774565,
        4.7469896722185,
        4.7470100966913495,
        4.7470305211641985,
        4.747050945637048,
        4.747071370109897,
        4.747091794582746,
        4.747112219055595,
        4.747132643528445,
        4.747153068001296,
        4.747173492474145,
        4.747193916946994,
        4.747214341419843,
        4.747234765892693,
        4.747255190365542,
        4.747275614838391,
        4.747296039311241,
        4.74731646378409,
        4.747336888256941,
        4.74735731272979,
        4.747377737202639,
        4.747398161675489,
        4.747418586148338,
        4.7474390106211874,
        4.7474594350940365,
        4.7474798595668855,
        4.747500284039735,
        4.747520708512585,
        4.747541132985435,
        4.747561557458284,
        4.747581981931133,
        4.747602406403982,
        4.747622830876832,
        4.747643255349681,
        4.747663679822531,
        4.747684104295381,
        4.74770452876823,
        4.74772495324108,
        4.747745377713929,
        4.747765802186778,
        4.747786226659628,
        4.747806651132477,
        4.747827075605327,
        4.747847500078176,
        4.747867924551025,
        4.747888349023874,
        4.747908773496724,
        4.747929197969574,
        4.747949622442423,
        4.747970046915272,
        4.747990471388121,
        4.748010895860972,
        4.748031320333821,
        4.74805174480667,
        4.74807216927952,
        4.748092593752369,
        4.748113018225219,
        4.748133442698068,
        4.748153867170917,
        4.7481742916437675,
        4.7481947161166165,
        4.748215140589466,
        4.748235565062315,
        4.748255989535164,
        4.748276414008013,
        4.748296838480863,
        4.748317262953713,
        4.748337687426563,
        4.748358111899412,
        4.748378536372261,
        4.748398960845111,
        4.74841938531796,
        4.748439809790809,
        4.748460234263659,
        4.748480658736508,
        4.748501083209359,
        4.748521507682208,
        4.748541932155057,
        4.7485623566279065,
        4.7485827811007555,
        4.748603205573605,
        4.748623630046454,
        4.748644054519303,
        4.748664478992152,
        4.748684903465003,
        4.748705327937853,
        4.748725752410702,
        4.748746176883551,
        4.7487666013564,
        4.74878702582925,
        4.748807450302099,
        4.748827874774948,
        4.748848299247799,
        4.748868723720648,
        4.748889148193498,
        4.748909572666347,
        4.748929997139196,
        4.7489504216120455,
        4.7489708460848945,
        4.748991270557744,
        4.749011695030594,
        4.749032119503443,
        4.749052543976292,
        4.749072968449142,
        4.749093392921992,
        4.749113817394841,
        4.74913424186769,
        4.749154666340539,
        4.74917509081339,
        4.749195515286239,
        4.749215939759088,
        4.749236364231938,
        4.749256788704787,
        4.749277213177637,
        4.749297637650486,
        4.749318062123335,
        4.7493384865961845,
        4.749358911069034,
        4.749379335541884,
        4.749399760014733,
        4.749420184487582,
        4.749440608960431,
        4.749461033433281,
        4.749481457906131,
        4.74950188237898,
        4.74952230685183,
        4.749542731324679,
        4.749563155797529,
        4.749583580270378,
        4.749604004743227,
        4.749624429216077,
        4.749644853688926,
        4.749665278161776,
        4.7496857026346255,
        4.7497061271074745,
        4.749726551580324,
        4.749746976053173,
        4.749767400526023,
        4.749787824998872,
        4.749808249471721,
        4.74982867394457,
        4.749849098417421,
        4.749869522890271,
        4.74988994736312,
        4.749910371835969,
        4.749930796308818,
        4.749951220781668,
        4.749971645254517,
        4.749992069727366,
        4.750012494200216,
        4.750032918673066,
        4.7500533431459155,
        4.7500737676187645,
        4.7500941920916135,
        4.750114616564463,
        4.750135041037312,
        4.750155465510162,
        4.750175889983011,
        4.750196314455861,
        4.75021673892871,
        4.75023716340156,
        4.75025758787441,
        4.750278012347259,
        4.750298436820108,
        4.750318861292957,
        4.750339285765807,
        4.750359710238657,
        4.750380134711506,
        4.750400559184356,
        4.750420983657205,
        4.7504414081300546,
        4.7504618326029036,
        4.750482257075753,
        4.7505026815486024,
        4.750523106021452,
        4.750543530494302,
        4.750563954967151,
        4.75058437944,
        4.750604803912849,
        4.750625228385699,
        4.750645652858549,
        4.750666077331398,
        4.750686501804247,
        4.750706926277097,
        4.750727350749947,
        4.750747775222796,
        4.750768199695645,
        4.750788624168495,
        4.750809048641344,
        4.750829473114194,
        4.750849897587043,
        4.7508703220598925,
        4.750890746532742,
        4.750911171005591,
        4.750931595478441,
        4.75095201995129,
        4.750972444424139,
        4.750992868896988,
        4.751013293369838,
        4.751033717842689,
        4.751054142315538,
        4.751074566788387,
        4.751094991261236,
        4.751115415734086,
        4.751135840206935,
        4.751156264679784,
        4.751176689152634,
        4.751197113625484,
        4.7512175380983335,
        4.7512379625711825,
        4.7512583870440315,
        4.751278811516881,
        4.75129923598973,
        4.75131966046258,
        4.751340084935429,
        4.751360509408278,
        4.751380933881128,
        4.751401358353978,
        4.751421782826828,
        4.751442207299676,
        4.751462631772526,
        4.751483056245375,
        4.751503480718225,
        4.751523905191074,
        4.751544329663924,
        4.751564754136774,
        4.751585178609623,
        4.7516056030824725,
        4.7516260275553215,
        4.7516464520281705,
        4.75166687650102,
        4.751687300973869,
        4.75170772544672,
        4.751728149919569,
        4.751748574392418,
        4.751768998865267,
        4.751789423338117,
        4.751809847810967,
        4.751830272283816,
        4.751850696756665,
        4.751871121229515,
        4.751891545702365,
        4.751911970175214,
        4.751932394648063,
        4.751952819120913,
        4.751973243593762,
        4.7519936680666115,
        4.7520140925394605,
        4.7520345170123095,
        4.75205494148516,
        4.752075365958009,
        4.752095790430859,
        4.752116214903708,
        4.752136639376557,
        4.752157063849406,
        4.752177488322256,
        4.752197912795106,
        4.752218337267955,
        4.752238761740805,
        4.752259186213654,
        4.752279610686504,
        4.752300035159353,
        4.752320459632202,
        4.752340884105052,
        4.752361308577901,
        4.752381733050751,
        4.7524021575236,
        4.752422581996449,
        4.752443006469299,
        4.752463430942148,
        4.752483855414998,
        4.752504279887847,
        4.752524704360696,
        4.752545128833546,
        4.752565553306396,
        4.752585977779246,
        4.752606402252095,
        4.752626826724944,
        4.752647251197793,
        4.752667675670643,
        4.752688100143492,
        4.752708524616341,
        4.7527289490891915,
        4.7527493735620405,
        4.75276979803489,
        4.752790222507739,
        4.752810646980588,
        4.752831071453438,
        4.752851495926287,
        4.752871920399137,
        4.752892344871987,
        4.752912769344836,
        4.752933193817685,
        4.752953618290535,
        4.752974042763385,
        4.752994467236233,
        4.753014891709083,
        4.753035316181932,
        4.753055740654783,
        4.753076165127632,
        4.753096589600481,
        4.7531170140733305,
        4.7531374385461795,
        4.753157863019029,
        4.753178287491878,
        4.753198711964727,
        4.753219136437578,
        4.753239560910427,
        4.753259985383277,
        4.753280409856126,
        4.753300834328975,
        4.753321258801824,
        4.753341683274674,
        4.753362107747524,
        4.753382532220373,
        4.753402956693223,
        4.753423381166072,
        4.753443805638922,
        4.753464230111771,
        4.75348465458462,
        4.7535050790574696,
        4.7535255035303186,
        4.753545928003168,
        4.753566352476018,
        4.753586776948867,
        4.753607201421717,
        4.753627625894566,
        4.753648050367416,
        4.753668474840265,
        4.753688899313114,
        4.753709323785963,
        4.753729748258814,
        4.753750172731664,
        4.753770597204512,
        4.753791021677362,
        4.753811446150211,
        4.753831870623061,
        4.75385229509591,
        4.753872719568759,
        4.753893144041609,
        4.7539135685144585,
        4.753933992987308,
        4.753954417460157,
        4.753974841933006,
        4.753995266405856,
        4.754015690878705,
        4.754036115351555,
        4.754056539824404,
        4.754076964297254,
        4.754097388770103,
        4.754117813242953,
        4.754138237715803,
        4.754158662188651,
        4.754179086661501,
        4.75419951113435,
        4.7542199356072,
        4.75424036008005,
        4.754260784552899,
        4.7542812090257485,
        4.7543016334985975,
        4.754322057971447,
        4.754342482444296,
        4.754362906917145,
        4.754383331389995,
        4.754403755862845,
        4.754424180335695,
        4.754444604808544,
        4.754465029281393,
        4.754485453754242,
        4.754505878227092,
        4.754526302699942,
        4.75454672717279,
        4.75456715164564,
        4.75458757611849,
        4.75460800059134,
        4.754628425064189,
        4.754648849537038,
        4.7546692740098875,
        4.7546896984827365,
        4.754710122955586,
        4.754730547428435,
        4.754750971901285,
        4.754771396374135,
        4.754791820846984,
        4.754812245319834,
        4.754832669792683,
        4.754853094265532,
        4.754873518738381,
        4.754893943211231,
        4.755098187939726,
        4.755118612412575,
        4.755139036885424,
        4.755159461358274,
        4.755179885831123,
        4.755200310303973,
        4.755220734776822,
        4.755241159249671,
        4.755261583722521,
        4.755282008195371,
        4.755302432668221,
        4.755322857141069,
        4.755343281613919,
        4.755363706086768,
        4.755384130559618,
        4.755404555032467,
        4.7554249795053165,
        4.755445403978166,
        4.755465828451015,
        4.755486252923865,
        4.755506677396714,
        4.755527101869563,
        4.755547526342413,
        4.755567950815262,
        4.755588375288113,
        4.755608799760962,
        4.755629224233811,
        4.75564964870666,
        4.75567007317951,
        4.75569049765236,
        4.755710922125208,
        4.755731346598058,
        4.755751771070908,
        4.7557721955437575,
        4.7557926200166065,
        4.7558130444894555,
        4.755833468962305,
        4.755853893435154,
        4.755874317908004,
        4.755894742380853,
        4.755915166853702,
        4.755935591326553,
        4.755956015799402,
        4.755976440272252,
        4.755996864745101,
        4.75601728921795,
        4.756037713690799,
        4.756058138163649,
        4.756078562636499,
        4.756098987109348,
        4.756119411582198,
        4.756139836055047,
        4.7561602605278965,
        4.7561806850007455,
        4.7562011094735945,
        4.756221533946444,
        4.756241958419293,
        4.756262382892144,
        4.756282807364993,
        4.756303231837842,
        4.756323656310692,
        4.756344080783541,
        4.756364505256391,
        4.75638492972924,
        4.756405354202089,
        4.756425778674939,
        4.756446203147789,
        4.756466627620639,
        4.756487052093487,
        4.756507476566337,
        4.756527901039186,
        4.7565483255120355,
        4.7565687499848845,
        4.7565891744577335,
        4.756609598930584,
        4.756630023403433,
        4.756650447876283,
        4.756670872349132,
        4.756691296821981,
        4.756711721294831,
        4.75673214576768,
        4.75675257024053,
        4.75677299471338,
        4.756793419186229,
        4.756813843659078,
        4.756834268131928,
        4.756854692604778,
        4.756875117077626,
        4.756895541550476,
        4.756915966023325,
        4.7569363904961754,
        4.7569568149690244,
        4.7569772394418735,
        4.756997663914723,
        4.757018088387572,
        4.757038512860422,
        4.757058937333271,
        4.75707936180612,
        4.757099786278971,
        4.75712021075182,
        4.75714063522467,
        4.757161059697519,
        4.757181484170368,
        4.757201908643217,
        4.757222333116067,
        4.757242757588917,
        4.757263182061765,
        4.757283606534616,
        4.757304031007465,
        4.7573244554803145,
        4.7573448799531635,
        4.7573653044260125,
        4.757385728898862,
        4.757406153371711,
        4.757426577844561,
        4.757447002317411,
        4.75746742679026,
        4.75748785126311,
        4.757508275735959,
        4.757528700208809,
        4.757549124681658,
        4.758039312030044,
        4.758059736502894,
        4.758080160975743,
        4.7581005854485925,
        4.758121009921442,
        4.758141434394291,
        4.758161858867141,
        4.75818228333999,
        4.75820270781284,
        4.758223132285689,
        4.758243556758538,
        4.758263981231388,
        4.758284405704238,
        4.758304830177088,
        4.758325254649937,
        4.758345679122786,
        4.758366103595635,
        4.758386528068485,
        4.758406952541335,
        4.758427377014183,
        4.7584478014870335,
        4.7584682259598825,
        4.758488650432732,
        4.758509074905581,
        4.75852949937843,
        4.75854992385128,
        4.758570348324129,
        4.758590772796979,
        4.758611197269828,
        4.758631621742678,
        4.758652046215528,
        4.758672470688377,
        4.758692895161227,
        4.758713319634076,
        4.758733744106925,
        4.758754168579774,
        4.758774593052624,
        4.7587950175254745,
        4.758815441998323,
        4.7588358664711725,
        4.7588562909440215,
        4.758876715416871,
        4.75889713988972,
        4.758917564362569,
        4.758937988835419,
        4.758958413308269,
        4.758978837781119,
        4.758999262253968,
        4.759019686726817,
        4.759040111199667,
        4.759060535672516,
        4.759080960145366,
        4.759101384618215,
        4.759121809091065,
        4.759142233563914,
        4.759162658036764,
        4.7591830825096135,
        4.759203506982462,
        4.7592239314553115,
        4.7592443559281605,
        4.75926478040101,
        4.759285204873859,
        4.759305629346709,
        4.759326053819559,
        4.759346478292408,
        4.759366902765258,
        4.759387327238107,
        4.759407751710956,
        4.759428176183806,
        4.759448600656655,
        4.759469025129506,
        4.759489449602355,
        4.759509874075204,
        4.759530298548053,
        4.759550723020903,
        4.7595711474937525,
        4.759591571966601,
        4.7596119964394505,
        4.7596324209123,
        4.75965284538515,
        4.759673269857999,
        4.759693694330848,
        4.759714118803698,
        4.759734543276547,
        4.759754967749397,
        4.759775392222246,
        4.759795816695096,
        4.759816241167946,
        4.759836665640795,
        4.759857090113645,
        4.759877514586494,
        4.759897939059343,
        4.759918363532192,
        4.759938788005042,
        4.7599592124778916,
        4.7599796369507406,
        4.7600000614235904,
        4.7600204858964394,
        4.760040910369289,
        4.760061334842138,
        4.760081759314987,
        4.760102183787837,
        4.760122608260686,
        4.760143032733537,
        4.760163457206386,
        4.760183881679235,
        4.760204306152085,
        4.760224730624934,
        4.760245155097784,
        4.760265579570633,
        4.760286004043482,
        4.760306428516332,
        4.760326852989182,
        4.7603472774620315,
        4.76036770193488,
        4.7603881264077295,
        4.7604085508805785,
        4.760428975353428,
        4.760449399826277,
        4.760469824299127,
        4.760490248771977,
        4.760510673244826,
        4.760531097717676,
        4.760551522190525,
        4.760571946663374,
        4.760592371136224,
        4.760612795609073,
        4.760633220081923,
        4.760653644554772,
        4.760674069027622,
        4.760694493500471,
        4.760714917973321,
        4.7607353424461705,
        4.760755766919019,
        4.7607761913918685,
        4.7607966158647175,
        4.760817040337568,
        4.760837464810417,
        4.760857889283266,
        4.760878313756116,
        4.760898738228965,
        4.760919162701815,
        4.760939587174664,
        4.760960011647513,
        4.760980436120364,
        4.761000860593213,
        4.761021285066063,
        4.761041709538912,
        4.761062134011761,
        4.76108255848461,
        4.76110298295746,
        4.7611234074303095,
        4.7611438319031585,
        4.761164256376008,
        4.761184680848857,
        4.761205105321707,
        4.761225529794556,
        4.761245954267405,
        4.7615318968872975,
        4.761552321360147,
        4.761572745832996,
        4.761593170305846,
        4.761613594778695,
        4.761634019251544,
        4.761654443724395,
        4.761674868197244,
        4.761695292670094,
        4.761715717142943,
        4.761736141615792,
        4.761756566088642,
        4.761776990561491,
        4.761797415034341,
        4.76181783950719,
        4.76183826398004,
        4.761858688452889,
        4.7618791129257385,
        4.761899537398588,
        4.7619199618714365,
        4.761940386344286,
        4.761960810817135,
        4.761981235289985,
        4.762001659762835,
        4.762022084235684,
        4.762042508708534,
        4.762062933181383,
        4.762083357654233,
        4.762103782127082,
        4.762124206599931,
        4.762144631072781,
        4.762165055545631,
        4.762185480018481,
        4.762205904491329,
        4.762226328964179,
        4.762246753437028,
        4.7622671779098775,
        4.762287602382727,
        4.7623080268555755,
        4.762328451328426,
        4.762348875801275,
        4.762369300274125,
        4.762389724746974,
        4.762410149219823,
        4.762430573692673,
        4.762450998165522,
        4.762471422638372,
        4.762491847111222,
        4.762512271584071,
        4.762532696056921,
        4.76255312052977,
        4.76257354500262,
        4.762593969475469,
        4.762614393948318,
        4.762634818421167,
        4.7626552428940165,
        4.762675667366867,
        4.762696091839715,
        4.762716516312565,
        4.762736940785414,
        4.762757365258264,
        4.762777789731113,
        4.762798214203962,
        4.762818638676812,
        4.762839063149662,
        4.762859487622512,
        4.762879912095361,
        4.76290033656821,
        4.76292076104106,
        4.762941185513909,
        4.762961609986759,
        4.762982034459607,
        4.7630024589324576,
        4.7630228834053066,
        4.763043307878156,
        4.763063732351006,
        4.763084156823854,
        4.763104581296704,
        4.763125005769553,
        4.763145430242403,
        4.763165854715253,
        4.763186279188102,
        4.763206703660952,
        4.763227128133801,
        4.763247552606651,
        4.7632679770795,
        4.763288401552349,
        4.763308826025199,
        4.763329250498048,
        4.763349674970899,
        4.763370099443747,
        4.763390523916597,
        4.763410948389446,
        4.7634313728622955,
        4.763451797335145,
        4.7634722218079935,
        4.763492646280843,
        4.763513070753693,
        4.763533495226543,
        4.763553919699392,
        4.763574344172241,
        4.763594768645091,
        4.76361519311794,
        4.76363561759079,
        4.763656042063639,
        4.763676466536489,
        4.763696891009339,
        4.763717315482188,
        4.763737739955038,
        4.763758164427886,
        4.763778588900736,
        4.763799013373585,
        4.7638194378464345,
        4.763839862319285,
        4.763860286792133,
        4.763880711264983,
        4.763901135737832,
        4.763921560210682,
        4.763941984683531,
        4.76396240915638,
        4.76398283362923,
        4.764003258102079,
        4.76402368257493,
        4.764044107047779,
        4.764064531520628,
        4.764084955993478,
        4.764105380466327,
        4.764125804939177,
        4.764146229412026,
        4.764166653884875,
        4.7641870783577245,
        4.764207502830574,
        4.764227927303424,
        4.764248351776272,
        4.764268776249122,
        4.764289200721971,
        4.764309625194821,
        4.76433004966767,
        4.76435047414052,
        4.76437089861337,
        4.7645547188690145,
        4.7645751433418635,
        4.764595567814713,
        4.764615992287563,
        4.764636416760411,
        4.764656841233261,
        4.76467726570611,
        4.764697690178961,
        4.76471811465181,
        4.764738539124659,
        4.764758963597509,
        4.764779388070358,
        4.764799812543208,
        4.764820237016057,
        4.764840661488906,
        4.764861085961757,
        4.764881510434606,
        4.7649019349074555,
        4.764922359380304,
        4.7649427838531535,
        4.7649632083260025,
        4.764983632798852,
        4.765004057271702,
        4.765024481744551,
        4.765044906217401,
        4.76506533069025,
        4.7650857551631,
        4.765106179635949,
        4.765126604108798,
        4.765147028581648,
        4.765167453054497,
        4.765187877527347,
        4.765208302000197,
        4.765228726473046,
        4.765249150945896,
        4.765269575418745,
        4.7652899998915945,
        4.765310424364443,
        4.7653308488372925,
        4.7653512733101415,
        4.765371697782992,
        4.765392122255842,
        4.76541254672869,
        4.76543297120154,
        4.765453395674389,
        4.765473820147239,
        4.765494244620088,
        4.765514669092937,
        4.765535093565788,
        4.765780187239981,
        4.765800611712829,
        4.765821036185679,
        4.765841460658528,
        4.765861885131378,
        4.765882309604228,
        4.765902734077077,
        4.765923158549927,
        4.765943583022776,
        4.765964007495626,
        4.765984431968475,
        4.766004856441324,
        4.766025280914174,
        4.7660457053870235,
        4.766066129859873,
        4.7660865543327215,
        4.766106978805571,
        4.76612740327842,
        4.76614782775127,
        4.76616825222412,
        4.766188676696968,
        4.766209101169819,
        4.766229525642668,
        4.766249950115518,
        4.766270374588367,
        4.766290799061216,
        4.766311223534066,
        4.766331648006915,
        4.766352072479765,
        4.766372496952615,
        4.766392921425464,
        4.766413345898314,
        4.766433770371163,
        4.7664541948440124,
        4.766474619316861,
        4.7664950437897105,
        4.7665154682625595,
        4.766535892735409,
        4.76655631720826,
        4.766576741681108,
        4.766597166153958,
        4.766617590626807,
        4.766638015099657,
        4.766658439572506,
        4.766678864045355,
        4.766699288518205,
        4.766719712991055,
        4.766740137463905,
        4.766760561936754,
        4.766780986409603,
        4.766801410882453,
        4.766821835355302,
        4.7668422598281515,
        4.766862684301,
        4.76688310877385,
        4.766903533246699,
        4.766923957719549,
        4.766944382192399,
        4.766964806665247,
        4.766985231138097,
        4.767005655610946,
        4.767026080083796,
        4.767046504556646,
        4.767066929029495,
        4.767087353502345,
        4.767107777975194,
        4.767128202448044,
        4.767148626920893,
        4.767169051393742,
        4.767189475866592,
        4.767209900339441,
        4.767230324812291,
        4.7672507492851395,
        4.767271173757989,
        4.767291598230838,
        4.767312022703688,
        4.767332447176538,
        4.767352871649386,
        4.767373296122236,
        4.767393720595086,
        4.767414145067936,
        4.767434569540785,
        4.767454994013634,
        4.767475418486484,
        4.767495842959333,
        4.767516267432183,
        4.767536691905032,
        4.767557116377882,
        4.7675775408507315,
        4.7675979653235805,
        4.76761838979643,
        4.7676388142692785,
        4.767659238742128,
        4.767679663214977,
        4.767700087687827,
        4.767720512160678,
        4.767740936633526,
        4.767761361106376,
        4.767781785579225,
        4.767802210052075,
        4.767822634524924,
        4.767843058997773,
        4.767863483470623,
        4.767883907943472,
        4.767904332416323,
        4.767924756889172,
        4.767945181362021,
        4.7679656058348705,
        4.7679860303077195,
        4.768006454780569,
        4.7680268792534175,
        4.768047303726267,
        4.901858237599346,
        5.035669171472425,
        5.035689595945274,
        5.035710020418124,
        5.035730444890973,
        5.035750869363822,
        5.035771293836673,
        5.035791718309522,
        5.035812142782372,
        5.035832567255221,
        5.03585299172807,
        5.0358734162009196,
        5.0358938406737686,
        5.035914265146618,
        5.035934689619468,
        5.035955114092317,
        5.035975538565166,
        5.035995963038016,
        5.036016387510866,
        5.036036811983714,
        5.036057236456564,
        5.036077660929413,
        5.036098085402264,
        5.036118509875113,
        5.036138934347962,
        5.036159358820812,
        5.036179783293661,
        5.036200207766511,
        5.036220632239359,
        5.036241056712209,
        5.036261481185059,
        5.0362819056579085,
        5.036302330130758,
        5.0363227546036065,
        5.036343179076456,
        5.036363603549305,
        5.036384028022155,
        5.036404452495005,
        5.036424876967853,
        5.036445301440704,
        5.036465725913553,
        5.036486150386403,
        5.036506574859252,
        5.036526999332101,
        5.036547423804951,
        5.0365678482778,
        5.03658827275065,
        5.0366086972235,
        5.036629121696349,
        5.0366495461691985,
        5.0366699706420475,
        5.036690395114897,
        5.0367108195877455,
        5.036731244060595,
        5.036751668533444,
        5.036772093006295,
        5.036792517479145,
        5.036812941951993,
        5.036833366424843,
        5.036853790897692,
        5.036874215370542,
        5.036894639843391,
        5.03691506431624,
        5.03693548878909,
        5.03695591326194,
        5.03697633773479,
        5.036996762207638,
        5.037017186680488,
        5.0370376111533375,
        5.0370580356261865,
        5.037078460099036,
        5.0370988845718845,
        5.037119309044735,
        5.037139733517584,
        5.037160157990434,
        5.037180582463284,
        5.037201006936132,
        5.037221431408982,
        5.037241855881831,
        5.037262280354681,
        5.037282704827531,
        5.03730312930038,
        5.03732355377323,
        5.037343978246079,
        5.037364402718929,
        5.037384827191778,
        5.037405251664627,
        5.0374256761374765,
        5.037446100610326,
        5.037466525083176,
        5.037486949556025,
        5.037507374028874,
        5.037527798501723,
        5.037548222974573,
        5.037568647447423,
        5.037589071920271,
        5.037609496393121,
        5.037629920865971,
        5.037650345338821,
        5.03767076981167,
        5.037691194284519,
        5.037711618757369,
        5.037732043230218,
        5.037752467703068,
        5.037772892175917,
        5.0377933166487665,
        5.037813741121616,
        5.037834165594465,
        5.037854590067315,
        5.037875014540163,
        5.037895439013013,
        5.037915863485862,
        5.037936287958712,
        5.037956712431563,
        5.037977136904411,
        5.037997561377261,
        5.03801798585011,
        5.03803841032296,
        5.038058834795809,
        5.038079259268658,
        5.038099683741508,
        5.038120108214358,
        5.0381405326872075,
        5.0381609571600565,
        5.0381813816329055,
        5.038201806105755,
        5.038222230578604,
        5.038242655051454,
        5.038263079524302,
        5.038283503997152,
        5.038303928470002,
        5.038324352942852,
        5.038344777415702,
        5.03836520188855,
        5.0383856263614,
        5.038406050834249,
        5.038426475307099,
        5.038446899779948,
        5.038467324252798,
        5.038487748725648,
        5.038508173198497,
        5.0385285976713465,
        5.038549022144195,
        5.0385694466170445,
        5.038589871089894,
        5.038610295562743,
        5.038630720035594,
        5.038651144508442,
        5.038671568981292,
        5.038691993454141,
        5.038712417926991,
        5.038732842399841,
        5.038753266872689,
        5.038773691345539,
        5.038794115818389,
        5.038814540291239,
        5.038834964764088,
        5.038855389236937,
        5.038875813709787,
        5.038896238182636,
        5.0389166626554855,
        5.0389370871283345,
        5.0389575116011835,
        5.038977936074034,
        5.038998360546883,
        5.039018785019733,
        5.039039209492582,
        5.039059633965431,
        5.03908005843828,
        5.03910048291113,
        5.03912090738398,
        5.039141331856829,
        5.039161756329679,
        5.039182180802528,
        5.039202605275378,
        5.039223029748227,
        5.039243454221076,
        5.039263878693926,
        5.039284303166775,
        5.0393047276396254,
        5.039325152112474,
        5.0393455765853234,
        5.039366001058173,
        5.039386425531022,
        5.039406850003872,
        5.03942727447672,
        5.03944769894957,
        5.039468123422419,
        5.03948854789527,
        5.03950897236812,
        5.039529396840968,
        5.039549821313818,
        5.039570245786667,
        5.039590670259517,
        5.039611094732366,
        5.039631519205215,
        5.039651943678066,
        5.039672368150915,
        5.0396927926237645,
        5.0397132170966135,
        5.0397336415694625,
        5.039754066042312,
        5.039774490515161,
        5.039794914988011,
        5.03981533946086,
        5.03983576393371,
        5.039856188406559,
        5.039876612879409,
        5.039897037352259,
        5.039917461825107,
        5.039937886297957,
        5.039958310770806,
        5.039978735243657,
        5.039999159716505,
        5.040019584189355,
        5.040040008662205,
        5.040060433135054,
        5.0400808576079035,
        5.040101282080752,
        5.0401217065536015,
        5.040142131026451,
        5.040162555499301,
        5.040182979972151,
        5.040203404444999,
        5.040223828917849,
        5.040244253390698,
        5.040264677863548,
        5.040285102336398,
        5.040305526809246,
        5.040325951282097,
        5.040346375754946,
        5.040366800227796,
        5.040387224700645,
        5.040407649173494,
        5.040428073646344,
        5.040448498119193,
        5.0404689225920425,
        5.040489347064892,
        5.040509771537741,
        5.040530196010591,
        5.04055062048344,
        5.04057104495629,
        5.040591469429138,
        5.040611893901988,
        5.040632318374837,
        5.040652742847688,
        5.040673167320538,
        5.040693591793386,
        5.040714016266236,
        5.040734440739085,
        5.040754865211935,
        5.040775289684784,
        5.040795714157633,
        5.040816138630483,
        5.0408365631033325,
        5.040856987576182,
        5.0408774120490305,
        5.04089783652188,
        5.04091826099473,
        5.040938685467579,
        5.040959109940429,
        5.040979534413277,
        5.040999958886128,
        5.041020383358977,
        5.041040807831827,
        5.041061232304677,
        5.041081656777525,
        5.041102081250375,
        5.041122505723224,
        5.041142930196074,
        5.041163354668924,
        5.041183779141773,
        5.0412042036146225,
        5.0412246280874715,
        5.041245052560321,
        5.04126547703317,
        5.041285901506019,
        5.041306325978869,
        5.041326750451719,
        5.041347174924569,
        5.041367599397418,
        5.041388023870267,
        5.041408448343116,
        5.041428872815966,
        5.041449297288816,
        5.041469721761664,
        5.041490146234514,
        5.041510570707364,
        5.041530995180214,
        5.041551419653063,
        5.041571844125912,
        5.0415922685987615,
        5.0416126930716105,
        5.04163311754446,
        5.041653542017309,
        5.041673966490159,
        5.041694390963009,
        5.041714815435858,
        5.041735239908708,
        5.041755664381556,
        5.041776088854406,
        5.041796513327255,
        5.041816937800105,
        5.041837362272956,
        5.041857786745804,
        5.041878211218654,
        5.041898635691503,
        5.041919060164353,
        5.041939484637202,
        5.041959909110051,
        5.0419803335829005,
        5.04200075805575,
        5.0420211825286,
        5.042041607001448,
        5.042062031474298,
        5.042082455947148,
        5.042102880419997,
        5.042123304892847,
        5.042143729365695,
        5.042164153838545,
        5.042184578311395,
        5.042205002784245,
        5.042225427257095,
        5.042245851729943,
        5.042266276202793,
        5.042286700675642,
        5.042307125148492,
        5.04232754962134,
        5.0423479740941906,
        5.04236839856704,
        5.0423888230398894,
        5.042409247512739,
        5.0424296719855874,
        5.042450096458437,
        5.042470520931287,
        5.042490945404136,
        5.042511369876987,
        5.042531794349835,
        5.042552218822685,
        5.042572643295534,
        5.042593067768384,
        5.042613492241234,
        5.042633916714082,
        5.042654341186932,
        5.042674765659782,
        5.042695190132632,
        5.042715614605481,
        5.04273603907833,
        5.0427564635511795,
        5.0427768880240285,
        5.042797312496878,
        5.042817736969727,
        5.042838161442576,
        5.042858585915427,
        5.042879010388276,
        5.042899434861126,
        5.042919859333974,
        5.042940283806824,
        5.042960708279673,
        5.042981132752523,
        5.043001557225373,
        5.043021981698222,
        5.043042406171072,
        5.043062830643921,
        5.043083255116771,
        5.04310367958962,
        5.043124104062469,
        5.0431445285353185,
        5.0431649530081675,
        5.043185377481018,
        5.043205801953866,
        5.043226226426716,
        5.043246650899566,
        5.043267075372415,
        5.043287499845265,
        5.043307924318113,
        5.043328348790963,
        5.043348773263813,
        5.043369197736663,
        5.043389622209513,
        5.043410046682361,
        5.043430471155211,
        5.04345089562806,
        5.04347132010091,
        5.043491744573759,
        5.043512169046608,
        5.043532593519458,
        5.043553017992307,
        5.043573442465157,
        5.043593866938006,
        5.043614291410855,
        5.043634715883705,
        5.043655140356554,
        5.043675564829404,
        5.043695989302253,
        5.043716413775103,
        5.043736838247952,
        5.043757262720802,
        5.043777687193652,
        5.0437981116665,
        5.04381853613935,
        5.043838960612199,
        5.0438593850850495,
        5.043879809557898,
        5.0439002340307475,
        5.043920658503597,
        5.043941082976446,
        5.043961507449296,
        5.043981931922144,
        5.044002356394994,
        5.044022780867845,
        5.044043205340694,
        5.044063629813544,
        5.044084054286392,
        5.044104478759242,
        5.044124903232091,
        5.044145327704941,
        5.044165752177791,
        5.044186176650639,
        5.04420660112349,
        5.044227025596339,
        5.0442474500691885,
        5.0442678745420375,
        5.0442882990148865,
        5.044308723487736,
        5.044329147960585,
        5.044349572433435,
        5.044369996906285,
        5.044390421379134,
        5.044410845851984,
        5.044431270324833,
        5.044451694797683,
        5.044472119270531,
        5.044492543743381,
        5.04451296821623,
        5.044533392689081,
        5.044553817161931,
        5.044574241634779,
        5.044594666107629,
        5.044615090580478,
        5.0446355150533275,
        5.044655939526176,
        5.0446763639990255,
        5.044696788471876,
        5.044717212944725,
        5.044737637417575,
        5.044758061890423,
        5.044778486363273,
        5.044798910836123,
        5.044819335308972,
        5.044839759781822,
        5.04486018425467,
        5.044880608727521,
        5.04490103320037,
        5.04492145767322,
        5.04494188214607,
        5.044962306618918,
        5.044982731091768,
        5.045003155564617,
        5.0450235800374665,
        5.045044004510316,
        5.045064428983165,
        5.045084853456015,
        5.045105277928864,
        5.045125702401714,
        5.045146126874563,
        5.045166551347412,
        5.045186975820262,
        5.045207400293112,
        5.045227824765962,
        5.04524824923881,
        5.04526867371166,
        5.045289098184509,
        5.045309522657359,
        5.045329947130209,
        5.045350371603057,
        5.0453707960759075,
        5.0453912205487566,
        5.045411645021606,
        5.045432069494455,
        5.045452493967304,
        5.045472918440154,
        5.045493342913003,
        5.045513767385853,
        5.045534191858701,
        5.045554616331552,
        5.045575040804402,
        5.045595465277251,
        5.045615889750101,
        5.045636314222949,
        5.045656738695799,
        5.045677163168648,
        5.045697587641498,
        5.045718012114349,
        5.045738436587197,
        5.045758861060047,
        5.045779285532896,
        5.0457997100057455,
        5.0458201344785945,
        5.0458405589514435,
        5.045860983424293,
        5.045881407897143,
        5.045901832369993,
        5.045922256842841,
        5.045942681315691,
        5.045963105788541,
        5.04598353026139,
        5.04600395473424,
        5.046024379207088,
        5.046044803679939,
        5.046065228152788,
        5.046085652625638,
        5.046106077098488,
        5.046126501571336,
        5.046146926044186,
        5.046167350517035,
        5.0461877749898845,
        5.046208199462733,
        5.046228623935583,
        5.046249048408433,
        5.046269472881282,
        5.046289897354132,
        5.04631032182698,
        5.04633074629983,
        5.04635117077268,
        5.046371595245529,
        5.04639201971838,
        5.046412444191228,
        5.046432868664078,
        5.046453293136927,
        5.046473717609777,
        5.046494142082627,
        5.046514566555475,
        5.046534991028325,
        5.0465554155011745,
        5.046575839974024,
        5.046596264446873,
        5.046616688919722,
        5.046637113392572,
        5.046657537865421,
        5.046677962338271,
        5.04669838681112,
        5.04671881128397,
        5.04673923575682,
        5.046759660229669,
        5.046780084702519,
        5.046800509175367,
        5.046820933648217,
        5.046841358121066,
        5.046861782593916,
        5.046882207066766,
        5.046902631539615,
        5.0469230560124645,
        5.0469434804853135,
        5.046963904958163,
        5.046984329431012,
        5.047004753903861,
        5.047025178376711,
        5.04704560284956,
        5.047066027322411,
        5.047086451795259,
        5.047106876268109,
        5.047127300740959,
        5.047147725213808,
        5.047168149686658,
        5.047188574159506,
        5.047208998632356,
        5.047229423105206,
        5.047249847578056,
        5.0472702720509055,
        5.047290696523754,
        5.0473111209966035,
        5.0473315454694525,
        5.047351969942302,
        5.047372394415151,
        5.047392818888001,
        5.047413243360851,
        5.0474336678337,
        5.04745409230655,
        5.047474516779399,
        5.047494941252248,
        5.047515365725098,
        5.047535790197947,
        5.047556214670797,
        5.047576639143646,
        5.047597063616496,
        5.047617488089345,
        5.047637912562195,
        5.0476583370350445,
        5.047678761507893,
        5.0476991859807425,
        5.0477196104535915,
        5.047740034926442,
        5.04776045939929,
        5.04778088387214,
        5.04780130834499,
        5.047821732817839,
        5.047842157290689,
        5.047862581763537,
        5.047883006236387,
        5.047903430709238,
        5.047923855182087,
        5.047944279654937,
        5.047964704127785,
        5.047985128600635,
        5.048005553073484,
        5.048025977546334,
        5.0480464020191835,
        5.0480668264920325,
        5.048087250964882,
        5.048107675437731,
        5.048128099910581,
        5.04814852438343,
        5.048168948856279,
        5.048189373329129,
        5.048209797801978,
        5.048230222274828,
        5.048250646747677,
        5.048271071220527,
        5.048291495693377,
        5.048311920166226,
        5.048332344639076,
        5.048352769111924,
        5.048373193584774,
        5.048393618057623,
        5.0484140425304735,
        5.048434467003323,
        5.0484548914761715,
        5.048475315949021,
        5.04849574042187,
        5.04851616489472,
        5.048536589367568,
        5.048557013840418,
        5.048577438313269,
        5.048597862786118,
        5.048618287258968,
        5.048638711731816,
        5.048659136204666,
        5.048679560677516,
        5.048699985150365,
        5.048720409623215,
        5.048740834096064,
        5.048761258568914,
        5.048781683041763,
        5.048802107514613,
        5.0488225319874624,
        5.048842956460311,
        5.0488633809331604,
        5.0488838054060095,
        5.048904229878859,
        5.048924654351709,
        5.048945078824558,
        5.048965503297408,
        5.048985927770257,
        5.049006352243107,
        5.049026776715956,
        5.049333143808697,
        5.049353568281547,
        5.049373992754396,
        5.049394417227246,
        5.049414841700095,
        5.049435266172945,
        5.049455690645795,
        5.049476115118644,
        5.049496539591494,
        5.049516964064342,
        5.049537388537192,
        5.049557813010041,
        5.049578237482891,
        5.049598661955741,
        5.0496190864285895,
        5.049639510901439,
        5.049659935374288,
        5.049680359847138,
        5.049700784319987,
        5.049721208792836,
        5.049741633265686,
        5.049762057738536,
        5.049782482211386,
        5.049802906684234,
        5.049823331157084,
        5.049843755629934,
        5.049864180102783,
        5.049884604575633,
        5.049905029048481,
        5.049925453521332,
        5.049945877994181,
        5.0499663024670305,
        5.0499867269398795,
        5.0500071514127285,
        5.050027575885578,
        5.050048000358427,
        5.050068424831277,
        5.050088849304126,
        5.050109273776976,
        5.050129698249826,
        5.050150122722675,
        5.050170547195525,
        5.050190971668373,
        5.050211396141223,
        5.050231820614073,
        5.050252245086922,
        5.050272669559773,
        5.050293094032621,
        5.050313518505471,
        5.05033394297832,
        5.0503543674511695,
        5.050374791924019,
        5.0503952163968675,
        5.050415640869717,
        5.050436065342567,
        5.050456489815417,
        5.050476914288266,
        5.050497338761115,
        5.050517763233965,
        5.050538187706814,
        5.050558612179664,
        5.050579036652512,
        5.050599461125363,
        5.050619885598213,
        5.050640310071062,
        5.050660734543912,
        5.05068115901676,
        5.05070158348961,
        5.050722007962459,
        5.0507424324353085,
        5.050762856908158,
        5.050783281381007,
        5.050803705853857,
        5.050824130326706,
        5.050844554799556,
        5.050864979272404,
        5.050885403745254,
        5.050905828218104,
        5.050926252690953,
        5.050946677163804,
        5.050967101636652,
        5.050987526109502,
        5.051007950582352,
        5.051028375055201,
        5.051048799528051,
        5.051069224000899,
        5.051089648473749,
        5.0511100729465985,
        5.051130497419448,
        5.051150921892298,
        5.051171346365146,
        5.051191770837996,
        5.051212195310845,
        5.051232619783695,
        5.051253044256544,
        5.051273468729394,
        5.051293893202244,
        5.051314317675093,
        5.051334742147943,
        5.051355166620792,
        5.051375591093641,
        5.051396015566491,
        5.05141644003934,
        5.05143686451219,
        5.051457288985039,
        5.0514777134578885,
        5.0514981379307375,
        5.051518562403587,
        5.051538986876437,
        5.051559411349285,
        5.051579835822135,
        5.051600260294984,
        5.051620684767835,
        5.051641109240683,
        5.051661533713533,
        5.051681958186383,
        5.051702382659232,
        5.051722807132082,
        5.05174323160493,
        5.05176365607778,
        5.051784080550631,
        5.05180450502348,
        5.0518249294963296,
        5.051845353969178,
        5.0518657784420276,
        5.0518862029148766,
        5.0519066273877264,
        5.051927051860576,
        5.051947476333425,
        5.051967900806275,
        5.051988325279124,
        5.052008749751974,
        5.052029174224823,
        5.052049598697672,
        5.052070023170522,
        5.052090447643371,
        5.052110872116221,
        5.05213129658907,
        5.05215172106192,
        5.05217214553477,
        5.052192570007619,
        5.052212994480469,
        5.052233418953317,
        5.052253843426167,
        5.052274267899016,
        5.052294692371866,
        5.052315116844716,
        5.052335541317564,
        5.052355965790414,
        5.052376390263263,
        5.052396814736113,
        5.052417239208961,
        5.052437663681811,
        5.052458088154662,
        5.052478512627511,
        5.052498937100361,
        5.052519361573209,
        5.052539786046059,
        5.052560210518909,
        5.052580634991758,
        5.052601059464608,
        5.052621483937457,
        5.0526419084103065,
        5.0526623328831555,
        5.052682757356005,
        5.052703181828855,
        5.052723606301703,
        5.052744030774553,
        5.052764455247402,
        5.052784879720252,
        5.052805304193102,
        5.052825728665951,
        5.052846153138801,
        5.05286657761165,
        5.0528870020845,
        5.052907426557348,
        5.052927851030198,
        5.052948275503048,
        5.052968699975898,
        5.0529891244487475,
        5.053009548921596,
        5.0530299733944455,
        5.0530503978672945,
        5.053070822340144,
        5.053091246812994,
        5.053111671285842,
        5.053132095758693,
        5.053152520231542,
        5.053172944704392,
        5.05319336917724,
        5.05321379365009,
        5.05323421812294,
        5.053254642595789,
        5.053275067068639,
        5.053295491541488,
        5.053315916014338,
        5.053336340487188,
        5.053356764960037,
        5.0533771894328865,
        5.053397613905735,
        5.0534180383785845,
        5.0534384628514335,
        5.053458887324283,
        5.053479311797134,
        5.053499736269982,
        5.053520160742832,
        5.053540585215681,
        5.053561009688531,
        5.053581434161379,
        5.053601858634229,
        5.053622283107079,
        5.053642707579929,
        5.053663132052779,
        5.053683556525627,
        5.053703980998477,
        5.053724405471327,
        5.053744829944176,
        5.0537652544170255,
        5.053785678889874,
        5.053806103362724,
        5.053826527835573,
        5.053846952308423,
        5.053867376781272,
        5.053887801254121,
        5.053908225726971,
        5.05392865019982,
        5.05394907467267,
        5.053969499145519,
        5.053989923618369,
        5.054010348091219,
        5.054030772564068,
        5.054051197036918,
        5.054071621509766,
        5.054092045982616,
        5.054112470455466,
        5.054132894928315,
        5.054153319401165,
        5.0541737438740135,
        5.054194168346863,
        5.054214592819712,
        5.054235017292562,
        5.054255441765412,
        5.05427586623826,
        5.05429629071111,
        5.05431671518396,
        5.05433713965681,
        5.054357564129659,
        5.054377988602508,
        5.054398413075358,
        5.054418837548207,
        5.054439262021057,
        5.054459686493905,
        5.054480110966756,
        5.0545005354396055,
        5.0545209599124545,
        5.054541384385304,
        5.0545618088581525,
        5.054582233331002,
        5.054602657803851,
        5.054623082276701,
        5.054643506749552,
        5.0546639312224,
        5.05468435569525,
        5.054704780168099,
        5.054725204640949,
        5.054745629113797,
        5.054766053586647,
        5.054786478059497,
        5.054806902532346,
        5.054827327005197,
        5.054847751478045,
        5.054868175950895,
        5.0548886004237445,
        5.0549090248965936,
        5.054929449369443,
        5.0549498738422916,
        5.054970298315141,
        5.054990722787991,
        5.055011147260841,
        5.055031571733691,
        5.055051996206539,
        5.055072420679389,
        5.055092845152238,
        5.055113269625088,
        5.055133694097937,
        5.055154118570787,
        5.055174543043637,
        5.055194967516486,
        5.055215391989336,
        5.055235816462184,
        5.055256240935034,
        5.055276665407884,
        5.055297089880733,
        5.055317514353583,
        5.0553379388264315,
        5.055358363299281,
        5.05537878777213,
        5.05539921224498,
        5.055419636717829,
        5.055440061190678,
        5.055460485663528,
        5.055480910136377,
        5.055501334609228,
        5.055521759082076,
        5.055542183554926,
        5.055562608027776,
        5.055583032500625,
        5.055603456973475,
        5.055623881446323,
        5.055644305919173,
        5.0556647303920235,
        5.0556851548648725,
        5.055705579337722,
        5.0557260038105705,
        5.05574642828342,
        5.055766852756269,
        5.055787277229119,
        5.055807701701969,
        5.055828126174818,
        5.055848550647668,
        5.055868975120517,
        5.055889399593367,
        5.055909824066215,
        5.055930248539065,
        5.055950673011915,
        5.055971097484764,
        5.055991521957615,
        5.056011946430463,
        5.056032370903313,
        5.0560527953761625,
        5.0560732198490115,
        5.056093644321861,
        5.0561140687947095,
        5.056134493267559,
        5.056154917740408,
        5.056175342213259,
        5.056195766686108,
        5.056216191158957,
        5.056236615631807,
        5.056257040104656,
        5.056277464577506,
        5.056297889050354,
        5.056318313523204,
        5.056338737996055,
        5.056359162468904,
        5.056379586941754,
        5.056400011414602,
        5.056420435887452,
        5.0564408603603015,
        5.0564612848331505,
        5.056481709306,
        5.056502133778849,
        5.056522558251699,
        5.056542982724548,
        5.056563407197398,
        5.056583831670248,
        5.056604256143096,
        5.056624680615946,
        5.056645105088795,
        5.056665529561646,
        5.056685954034495,
        5.056706378507344,
        5.056726802980194,
        5.056747227453043,
        5.056767651925893,
        5.056788076398741,
        5.056808500871591,
        5.0568289253444405,
        5.05684934981729,
        5.05686977429014,
        5.056890198762988,
        5.056910623235838,
        5.056931047708687,
        5.056951472181537,
        5.056971896654387,
        5.056992321127235,
        5.057012745600086,
        5.057033170072935,
        5.057053594545785,
        5.057074019018633,
        5.057094443491483,
        5.057114867964333,
        5.057135292437182,
        5.057155716910032,
        5.057176141382881,
        5.0571965658557305,
        5.05721699032858,
        5.057237414801429,
        5.057257839274279,
        5.057278263747127,
        5.057298688219977,
        5.057319112692826,
        5.057339537165677,
        5.057359961638527,
        5.057380386111375,
        5.057400810584225,
        5.057421235057074,
        5.057441659529924,
        5.057462084002772,
        5.057482508475622,
        5.057502932948472,
        5.057523357421322,
        5.0575437818941715,
        5.05756420636702,
        5.0575846308398695,
        5.057605055312719,
        5.057625479785568,
        5.057645904258418,
        5.057666328731266,
        5.057686753204117,
        5.057707177676966,
        5.057727602149816,
        5.057748026622665,
        5.057768451095514,
        5.057788875568364,
        5.057809300041213,
        5.057829724514063,
        5.057850148986912,
        5.057870573459762,
        5.057890997932612,
        5.057911422405461,
        5.0579318468783105,
        5.057952271351159,
        5.0579726958240085,
        5.057993120296858,
        5.058013544769708,
        5.058033969242558,
        5.058054393715406,
        5.058074818188256,
        5.058095242661105,
        5.058115667133955,
        5.058136091606805,
        5.058156516079653,
        5.058176940552503,
        5.058197365025353,
        5.058217789498203,
        5.058238213971051,
        5.058258638443901,
        5.058279062916751,
        5.0582994873896,
        5.05831991186245,
        5.058340336335298,
        5.0583607608081484,
        5.058381185280998,
        5.058401609753847,
        5.058422034226697,
        5.058442458699545,
        5.058462883172395,
        5.058483307645244,
        5.058503732118094,
        5.058524156590944,
        5.058544581063793,
        5.058565005536643,
        5.058585430009492,
        5.058605854482342,
        5.05862627895519,
        5.05864670342804,
        5.05866712790089,
        5.05868755237374,
        5.0587079768465895,
        5.058728401319438,
        5.0587488257922875,
        5.058769250265137,
        5.058789674737986,
        5.058810099210836,
        5.058830523683684,
        5.058850948156534,
        5.058871372629384,
        5.058891797102234,
        5.058912221575084,
        5.058932646047932,
        5.058953070520782,
        5.058973494993631,
        5.058993919466481,
        5.05901434393933,
        5.05903476841218,
        5.05905519288503,
        5.059075617357879,
        5.0590960418307285,
        5.059116466303577,
        5.0591368907764265,
        5.059157315249276,
        5.059177739722125,
        5.059198164194976,
        5.059218588667824,
        5.059239013140674,
        5.059259437613523,
        5.059279862086373,
        5.059300286559222,
        5.059320711032071,
        5.059341135504921,
        5.059361559977771,
        5.059381984450621,
        5.059402408923469,
        5.059422833396319,
        5.059443257869169,
        5.059463682342018,
        5.0594841068148675,
        5.059504531287716,
        5.0595249557605655,
        5.059545380233416,
        5.059565804706265,
        5.059586229179115,
        5.059606653651963,
        5.059627078124813,
        5.059647502597662,
        5.059667927070512,
        5.059688351543362,
        5.059708776016211,
        5.059729200489061,
        5.05974962496191,
        5.05977004943476,
        5.059790473907608,
        5.059810898380458,
        5.059831322853308,
        5.059851747326157,
        5.059872171799007,
        5.0598925962718555,
        5.059913020744705,
        5.059933445217555,
        5.059953869690404,
        5.059974294163254,
        5.059994718636102,
        5.060015143108952,
        5.060035567581802,
        5.060055992054652,
        5.060076416527501,
        5.06009684100035,
        5.0601172654732,
        5.060137689946049,
        5.060158114418899,
        5.060178538891747,
        5.060198963364597,
        5.0602193878374475,
        5.0602398123102965,
        5.060260236783146,
        5.0602806612559945,
        5.060301085728844,
        5.060321510201694,
        5.060341934674543,
        5.060362359147393,
        5.061056791224273,
        5.061077215697123,
        5.061097640169973,
        5.061118064642822,
        5.061138489115672,
        5.06115891358852,
        5.06117933806137,
        5.061199762534219,
        5.06122018700707,
        5.061240611479919,
        5.061261035952768,
        5.061281460425618,
        5.061301884898467,
        5.061322309371317,
        5.061342733844165,
        5.061363158317015,
        5.0613835827898646,
        5.061404007262714,
        5.061424431735564,
        5.0614448562084124,
        5.061465280681262,
        5.061485705154112,
        5.061506129626961,
        5.06152655409981,
        5.061546978572659,
        5.06156740304551,
        5.061587827518359,
        5.061608251991209,
        5.061628676464058,
        5.061649100936907,
        5.061669525409757,
        5.061689949882606,
        5.061710374355456,
        5.061730798828305,
        5.061751223301155,
        5.0617716477740045,
        5.0617920722468535,
        5.061812496719703,
        5.0618329211925515,
        5.061853345665401,
        5.061873770138251,
        5.061894194611101,
        5.061914619083951,
        5.061935043556799,
        5.061955468029649,
        5.061975892502498,
        5.061996316975348,
        5.062016741448198,
        5.062037165921046,
        5.062057590393896,
        5.062078014866746,
        5.062098439339596,
        5.062118863812444,
        5.062139288285294,
        5.0621597127581435,
        5.0621801372309925,
        5.062200561703842,
        5.0622209861766905,
        5.062241410649541,
        5.062261835122391,
        5.06228225959524,
        5.06230268406809,
        5.062323108540938,
        5.062343533013788,
        5.062363957486637,
        5.062384381959487,
        5.062404806432337,
        5.062425230905186,
        5.062445655378036,
        5.062466079850885,
        5.062486504323735,
        5.062506928796583,
        5.066316092983005,
        5.070166106115122,
        5.070186530587971,
        5.070206955060821,
        5.07022737953367,
        5.07024780400652,
        5.070268228479368,
        5.070288652952218,
        5.070309077425068,
        5.070329501897918,
        5.070349926370768,
        5.070370350843616,
        5.070390775316466,
        5.070411199789316,
        5.070431624262165,
        5.070452048735015,
        5.070472473207863,
        5.0704928976807135,
        5.0705133221535625,
        5.070533746626412,
        5.070554171099262,
        5.07057459557211,
        5.07059502004496,
        5.070615444517809,
        5.070635868990659,
        5.070656293463508,
        5.070676717936358,
        5.070697142409208,
        5.070717566882057,
        5.070737991354907,
        5.070758415827755,
        5.070778840300605,
        5.070799264773455,
        5.070819689246304,
        5.070840113719154,
        5.070860538192003,
        5.0708809626648526,
        5.0709013871377016,
        5.070921811610551,
        5.0709422360834004,
        5.0709626605562494,
        5.070983085029099,
        5.071003509501949,
        5.071023933974799,
        5.071044358447647,
        5.071064782920497,
        5.071085207393347,
        5.071105631866196,
        5.071126056339046,
        5.071146480811894,
        5.071166905284745,
        5.071187329757595,
        5.071207754230444,
        5.071228178703293,
        5.071248603176142,
        5.071269027648992,
        5.071289452121841,
        5.0713098765946905,
        5.07133030106754,
        5.071350725540389,
        5.071371150013239,
        5.071391574486088,
        5.071411998958938,
        5.071432423431786,
        5.071452847904636,
        5.071473272377486,
        5.071493696850335,
        5.071514121323185,
        5.071534545796034,
        5.071554970268884,
        5.071575394741734,
        5.071595819214583,
        5.071616243687432,
        5.071636668160281,
        5.071657092633131,
        5.0716775171059805,
        5.07169794157883,
        5.071718366051679,
        5.071738790524528,
        5.071759214997378,
        5.071779639470227,
        5.071800063943077,
        5.071820488415925,
        5.071840912888776,
        5.071861337361626,
        5.071881761834475,
        5.071902186307325,
        5.071922610780173,
        5.071943035253023,
        5.071963459725873,
        5.071983884198722,
        5.0720043086715725,
        5.072024733144421,
        5.0720451576172705,
        5.0720655820901195,
        5.072086006562969,
        5.072106431035818,
        5.072126855508667,
        5.072147279981517,
        5.072167704454366,
        5.072188128927217,
        5.072208553400065,
        5.072228977872915,
        5.072249402345765,
        5.072269826818614,
        5.072290251291464,
        5.072310675764312,
        5.072331100237162,
        5.072351524710013,
        5.072371949182862,
        5.072392373655711,
        5.07241279812856,
        5.0724332226014095,
        5.0724536470742585,
        5.072474071547108,
        5.072494496019957,
        5.072514920492807,
        5.072535344965657,
        5.072555769438506,
        5.072576193911356,
        5.072596618384204,
        5.072617042857054,
        5.072637467329904,
        5.072657891802753,
        5.072678316275603,
        5.072698740748452,
        5.072719165221302,
        5.072739589694152,
        5.072760014167001,
        5.07278043863985,
        5.072800863112699,
        5.0728212875855485,
        5.0728417120583975,
        5.072862136531248,
        5.072882561004097,
        5.072902985476946,
        5.072923409949796,
        5.072943834422645,
        5.072964258895495,
        5.072984683368343,
        5.073005107841193,
        5.073025532314044,
        5.073045956786893,
        5.073066381259742,
        5.073086805732591,
        5.073107230205441,
        5.073127654678291,
        5.07314807915114,
        5.073168503623989,
        5.0731889280968385,
        5.073209352569688,
        5.073229777042537,
        5.073250201515387,
        5.073270625988236,
        5.073291050461085,
        5.073311474933935,
        5.073331899406784,
        5.073352323879634,
        5.073372748352483,
        5.073393172825333,
        5.073413597298183,
        5.073434021771032,
        5.073454446243882,
        5.07347487071673,
        5.07349529518958,
        5.07351571966243,
        5.0735361441352795,
        5.073556568608129,
        5.0735769930809775,
        5.073597417553827,
        5.073617842026676,
        5.073638266499526,
        5.073658690972375,
        5.073679115445224,
        5.073699539918075,
        5.073719964390924,
        5.073740388863774,
        5.073760813336622,
        5.073781237809472,
        5.073801662282322,
        5.073822086755171,
        5.07384251122802,
        5.07386293570087,
        5.07388336017372,
        5.0739037846465695,
        5.0739242091194185,
        5.0739446335922676,
        5.0739650580651166,
        5.073985482537966,
        5.074005907010815,
        5.074026331483665,
        5.074046755956515,
        5.074067180429364,
        5.074087604902214,
        5.074108029375063,
        5.074128453847913,
        5.074148878320761,
        5.074169302793611,
        5.074189727266461,
        5.074210151739311,
        5.074230576212161,
        5.074251000685009,
        5.074271425157859,
        5.074291849630709,
        5.074312274103558,
        5.0743326985764075,
        5.074353123049256,
        5.074373547522106,
        5.074393971994955,
        5.074414396467805,
        5.074434820940654,
        5.074455245413503,
        5.074475669886353,
        5.074496094359202,
        5.074516518832052,
        5.074536943304901,
        5.074557367777751,
        5.074577792250601,
        5.07459821672345,
        5.0746186411963,
        5.074639065669148,
        5.074659490141998,
        5.074679914614848,
        5.074700339087697,
        5.0747207635605465,
        5.0747411880333955,
        5.074761612506245,
        5.074782036979094,
        5.074986281707589,
        5.075006706180439,
        5.075027130653287,
        5.075047555126138,
        5.0750679795989875,
        5.0750884040718365,
        5.0751088285446855,
        5.0751292530175345,
        5.075149677490384,
        5.075170101963233,
        5.075190526436083,
        5.075210950908933,
        5.075231375381782,
        5.075251799854632,
        5.075272224327481,
        5.075292648800331,
        5.075313073273179,
        5.075333497746029,
        5.075353922218879,
        5.075374346691728,
        5.075394771164578,
        5.075415195637427,
        5.075435620110277,
        5.0754560445831265,
        5.0754764690559755,
        5.0754968935288245,
        5.0755173180016735,
        5.075537742474523,
        5.075558166947373,
        5.075578591420223,
        5.075599015893072,
        5.075619440365921,
        5.075639864838771,
        5.07566028931162,
        5.07568071378447,
        5.075701138257318,
        5.075721562730169,
        5.075741987203019,
        5.075762411675868,
        5.075782836148718,
        5.075803260621566,
        5.075823685094416,
        5.0758441095672655,
        5.0758645340401145,
        5.075884958512965,
        5.075905382985813,
        5.075925807458663,
        5.075946231931512,
        5.075966656404362,
        5.075987080877211,
        5.07600750535006,
        5.07602792982291,
        5.076048354295759,
        5.07606877876861,
        5.076089203241458,
        5.076109627714308,
        5.076130052187158,
        5.076150476660007,
        5.076170901132857,
        5.076191325605705,
        5.076211750078555,
        5.076232174551405,
        5.076252599024254,
        5.076273023497103,
        5.076293447969952,
        5.076313872442802,
        5.076334296915651,
        5.076354721388501,
        5.07637514586135,
        5.0763955703342,
        5.07641599480705,
        5.076436419279899,
        5.076456843752749,
        5.076477268225597,
        5.076497692698447,
        5.076518117171297,
        5.076538541644146,
        5.0765589661169965,
        5.076579390589845,
        5.0765998150626945,
        5.076620239535544,
        5.076640664008393,
        5.076661088481242,
        5.076681512954091,
        5.076701937426941,
        5.07672236189979,
        5.076742786372641,
        5.07676321084549,
        5.076783635318339,
        5.076804059791189,
        5.076824484264038,
        5.076844908736887,
        5.076865333209736,
        5.076885757682586,
        5.076906182155437,
        5.076926606628286,
        5.076947031101135,
        5.076967455573984,
        5.0769878800468335,
        5.077008304519683,
        5.077028728992532,
        5.077049153465381,
        5.077069577938231,
        5.077090002411081,
        5.07711042688393,
        5.07713085135678,
        5.077151275829629,
        5.077171700302478,
        5.077192124775328,
        5.077212549248177,
        5.077232973721028,
        5.077253398193876,
        5.077273822666726,
        5.077294247139576,
        5.077314671612425,
        5.077335096085275,
        5.077355520558123,
        5.077375945030973,
        5.0773963695038224,
        5.077416793976672,
        5.077437218449521,
        5.07745764292237,
        5.07747806739522,
        5.077498491868069,
        5.077518916340919,
        5.077539340813768,
        5.077559765286617,
        5.077580189759468,
        5.077600614232317,
        5.077621038705167,
        5.077641463178015,
        5.077661887650865,
        5.077682312123715,
        5.077702736596564,
        5.077723161069413,
        5.077743585542263,
        5.0777640100151125,
        5.077784434487962,
        5.077804858960811,
        5.07782528343366,
        5.077845707906509,
        5.077866132379359,
        5.077886556852208,
        5.077906981325059,
        5.077927405797908,
        5.077947830270757,
        5.077968254743607,
        5.077988679216456,
        5.078009103689306,
        5.078029528162154,
        5.078049952635004,
        5.078070377107854,
        5.078090801580704,
        5.0781112260535535,
        5.078131650526402,
        5.0781520749992515,
        5.078172499472101,
        5.07819292394495,
        5.0782133484178,
        5.078233772890648,
        5.078254197363499,
        5.078274621836348,
        5.078295046309198,
        5.078315470782047,
        5.078335895254896,
        5.078356319727746,
        5.078376744200595,
        5.078397168673445,
        5.078417593146294,
        5.078438017619144,
        5.078458442091994,
        5.078478866564843,
        5.0784992910376925,
        5.078519715510541,
        5.0785401399833905,
        5.07856056445624,
        5.07858098892909,
        5.078601413401939,
        5.078621837874788,
        5.078642262347638,
        5.078662686820487,
        5.078683111293337,
        5.078703535766186,
        5.078723960239035,
        5.078744384711885,
        5.078764809184735,
        5.078785233657585,
        5.078805658130433,
        5.078826082603283,
        5.078846507076133,
        5.078866931548982,
        5.0788873560218315,
        5.07890778049468,
        5.07892820496753,
        5.07894862944038,
        5.078969053913229,
        5.078989478386078,
        5.079009902858927,
        5.079030327331777,
        5.079050751804626,
        5.079071176277476,
        5.079091600750326,
        5.079112025223175,
        5.079132449696025,
        5.079152874168874,
        5.079173298641723,
        5.079193723114572,
        5.079214147587422,
        5.079234572060272,
        5.0792549965331215,
        5.0792754210059705,
        5.0792958454788195,
        5.079316269951669,
        5.079336694424519,
        5.079357118897368,
        5.079377543370217,
        5.079397967843066,
        5.079418392315916,
        5.079438816788766,
        5.079459241261616,
        5.079479665734465,
        5.079500090207314,
        5.079520514680164,
        5.079540939153013,
        5.079561363625863,
        5.079581788098711,
        5.079602212571562,
        5.0796226370444115,
        5.0796430615172605,
        5.07966348599011,
        5.0796839104629585,
        5.079704334935808,
        5.079724759408658,
        5.079745183881507,
        5.079765608354357,
        5.079786032827206,
        5.079806457300056,
        5.079826881772905,
        5.079847306245755,
        5.079867730718604,
        5.079888155191453,
        5.079908579664303,
        5.079929004137153,
        5.079949428610003,
        5.079969853082851,
        5.079990277555701,
        5.0800107020285505,
        5.0800311265013995,
        5.0800515509742485,
        5.0800719754470975,
        5.080092399919947,
        5.080112824392798,
        5.080133248865647,
        5.080153673338496,
        5.080174097811345,
        5.080194522284195,
        5.080214946757044,
        5.080235371229894,
        5.080255795702743,
        5.080276220175593,
        5.080296644648443,
        5.080317069121292,
        5.080337493594142,
        5.08035791806699,
        5.08037834253984,
        5.0803987670126896,
        5.0804191914855386,
        5.080439615958389,
        5.0804600404312374,
        5.080480464904087,
        5.080500889376937,
        5.080521313849786,
        5.080541738322635,
        5.080562162795484,
        5.080582587268334,
        5.080603011741184,
        5.080623436214034,
        5.080643860686883,
        5.080664285159732,
        5.080684709632582,
        5.080705134105431,
        5.08072555857828,
        5.080745983051129,
        5.080766407523979,
        5.0807868319968295,
        5.0808072564696785,
        5.0808276809425275,
        5.0808481054153765,
        5.080868529888226,
        5.080888954361076,
        5.080909378833925,
        5.080929803306774,
        5.080950227779624,
        5.080970652252474,
        5.080991076725323,
        5.081011501198173,
        5.084340690272631,
        5.087751577238486,
        5.087772001711336,
        5.087792426184185,
        5.087812850657034,
        5.087833275129883,
        5.087853699602734,
        5.087874124075584,
        5.087894548548433,
        5.087914973021282,
        5.087935397494131,
        5.087955821966981,
        5.08797624643983,
        5.08799667091268,
        5.088017095385529,
        5.0880375198583785,
        5.088057944331228,
        5.088078368804077,
        5.088098793276927,
        5.088119217749775,
        5.088139642222625,
        5.088160066695475,
        5.088180491168324,
        5.088200915641174,
        5.088221340114023,
        5.088241764586873,
        5.088262189059723,
        5.088282613532572,
        5.088303038005421,
        5.08832346247827,
        5.08834388695112,
        5.08836431142397,
        5.088384735896819,
        5.0884051603696685,
        5.0884255848425175,
        5.088446009315367,
        5.088466433788216,
        5.088486858261065,
        5.088507282733914,
        5.088527707206765,
        5.088548131679615,
        5.088568556152464,
        5.088588980625313,
        5.088609405098162,
        5.088629829571012,
        5.088650254043862,
        5.088670678516711,
        5.08869110298956,
        5.08871152746241,
        5.08873195193526,
        5.088752376408109,
        5.0887728008809585,
        5.0887932253538075,
        5.0888136498266565,
        5.088834074299506,
        5.088854498772355,
        5.088874923245206,
        5.088895347718054,
        5.088915772190904,
        5.088936196663754,
        5.088956621136603,
        5.088977045609452,
        5.088997470082301,
        5.089017894555151,
        5.089038319028002,
        5.089058743500851,
        5.0890791679737,
        5.089099592446549,
        5.089120016919399,
        5.089140441392248,
        5.0891608658650975,
        5.0891812903379465,
        5.089201714810796,
        5.089222139283646,
        5.089242563756495,
        5.089262988229344,
        5.089283412702193,
        5.089303837175043,
        5.089324261647893,
        5.089344686120742,
        5.089365110593591,
        5.089385535066441,
        5.089405959539291,
        5.089426384012141,
        5.08944680848499,
        5.089467232957839,
        5.089487657430688,
        5.089508081903538,
        5.089528506376387,
        5.089548930849237,
        5.089569355322086,
        5.089589779794935,
        5.089610204267785,
        5.089630628740634,
        5.089651053213484,
        5.089671477686332,
        5.089691902159182,
        5.089712326632033,
        5.089732751104882,
        5.089753175577731,
        5.08977360005058,
        5.08979402452343,
        5.08981444899628,
        5.089834873469129,
        5.089855297941978,
        5.089875722414828,
        5.0898961468876776,
        5.0899165713605266,
        5.089936995833376,
        5.089957420306225,
        5.0899778447790744,
        5.089998269251924,
        5.090018693724773,
        5.090039118197622,
        5.090059542670472,
        5.090079967143322,
        5.090100391616172,
        5.090120816089021,
        5.09014124056187,
        5.090161665034719,
        5.090182089507569,
        5.090202513980419,
        5.090222938453269,
        5.090243362926118,
        5.090263787398967,
        5.090284211871817,
        5.090304636344666,
        5.0903250608175155,
        5.0903454852903645,
        5.0903659097632135,
        5.090386334236064,
        5.090406758708913,
        5.090427183181762,
        5.090447607654611,
        5.090468032127461,
        5.090488456600311,
        5.09050888107316,
        5.090529305546009,
        5.090549730018859,
        5.090570154491709,
        5.090590578964559,
        5.090611003437408,
        5.090631427910257,
        5.090651852383106,
        5.090672276855956,
        5.090692701328805,
        5.090713125801654,
        5.090733550274504,
        5.090753974747353,
        5.090774399220203,
        5.090794823693052,
        5.090815248165901,
        5.09083567263875,
        5.0908560971116,
        5.09087652158445,
        5.0908969460573,
        5.090917370530149,
        5.090937795002998,
        5.090958219475848,
        5.090978643948698,
        5.090999068421547,
        5.091019492894396,
        5.091039917367245,
        5.0910603418400955,
        5.0910807663129445,
        5.091101190785794,
        5.091121615258643,
        5.091142039731492,
        5.091162464204342,
        5.091305435514288,
        5.091325859987137,
        5.091346284459987,
        5.091366708932837,
        5.091387133405686,
        5.091407557878536,
        5.091427982351385,
        5.0914484068242345,
        5.0914688312970835,
        5.091489255769933,
        5.091509680242782,
        5.091530104715631,
        5.091550529188481,
        5.091570953661331,
        5.09159137813418,
        5.091611802607029,
        5.091632227079879,
        5.091652651552729,
        5.091673076025578,
        5.091693500498427,
        5.091713924971276,
        5.091734349444127,
        5.091754773916977,
        5.091775198389826,
        5.091795622862675,
        5.091816047335524,
        5.0918364718083735,
        5.0918568962812225,
        5.091877320754072,
        5.091897745226922,
        5.091918169699771,
        5.091938594172621,
        5.09195901864547,
        5.09197944311832,
        5.091999867591168,
        5.092020292064018,
        5.092040716536868,
        5.092061141009717,
        5.092081565482567,
        5.092101989955416,
        5.092122414428266,
        5.092142838901116,
        5.092163263373965,
        5.092183687846814,
        5.092204112319663,
        5.0922245367925125,
        5.092244961265362,
        5.092265385738211,
        5.092285810211061,
        5.09230623468391,
        5.09232665915676,
        5.092347083629609,
        5.092367508102458,
        5.092387932575307,
        5.092408357048158,
        5.092428781521008,
        5.092449205993857,
        5.092469630466706,
        5.092490054939555,
        5.092510479412405,
        5.092530903885255,
        5.092551328358104,
        5.0925717528309535,
        5.0925921773038025,
        5.092612601776652,
        5.092633026249501,
        5.092653450722351,
        5.0926738751952,
        5.092694299668049,
        5.092714724140899,
        5.092735148613748,
        5.092755573086598,
        5.0929802422879416,
        5.093000666760791,
        5.09302109123364,
        5.093041515706489,
        5.093061940179339,
        5.093082364652189,
        5.093102789125039,
        5.093123213597888,
        5.093143638070737,
        5.093164062543586,
        5.093184487016436,
        5.093204911489286,
        5.093225335962135,
        5.093245760434985,
        5.093266184907834,
        5.093286609380684,
        5.093307033853534,
        5.093327458326383,
        5.093347882799232,
        5.093368307272081,
        5.0933887317449305,
        5.0934091562177795,
        5.09342958069063,
        5.093450005163479,
        5.093470429636328,
        5.093490854109178,
        5.093511278582027,
        5.093531703054877,
        5.093552127527725,
        5.093572552000575,
        5.093592976473426,
        5.093613400946275,
        5.093633825419124,
        5.093654249891973,
        5.093674674364823,
        5.093695098837673,
        5.093715523310522,
        5.093735947783371,
        5.0937563722562205,
        5.09377679672907,
        5.093797221201919,
        5.093817645674769,
        5.093838070147618,
        5.093858494620467,
        5.093878919093317,
        5.093899343566166,
        5.093919768039016,
        5.093940192511865,
        5.093960616984715,
        5.093981041457565,
        5.094001465930414,
        5.094021890403263,
        5.094042314876112,
        5.094062739348962,
        5.094083163821812,
        5.0941035882946615,
        5.0941240127675105,
        5.0941444372403595,
        5.094164861713209,
        5.094185286186058,
        5.094205710658908,
        5.094226135131757,
        5.094246559604606,
        5.094266984077457,
        5.094287408550306,
        5.094307833023155,
        5.094328257496004,
        5.094348681968854,
        5.094369106441704,
        5.094389530914553,
        5.094409955387402,
        5.094430379860252,
        5.094450804333102,
        5.0944712288059515,
        5.0944916532788005,
        5.0945120777516495,
        5.0945325022244985,
        5.094552926697348,
        5.094573351170197,
        5.094593775643046,
        5.094614200115897,
        5.094634624588746,
        5.094655049061596,
        5.094675473534445,
        5.094695898007294,
        5.094716322480143,
        5.094736746952993,
        5.094757171425843,
        5.094777595898693,
        5.094798020371542,
        5.094818444844391,
        5.094838869317241,
        5.0948592937900905,
        5.0948797182629395,
        5.0949001427357885,
        5.0949205672086375,
        5.094940991681488,
        5.094961416154337,
        5.094981840627187,
        5.095002265100036,
        5.095022689572885,
        5.095043114045735,
        5.095063538518584,
        5.095083962991433,
        5.095104387464283,
        5.095124811937133,
        5.095145236409983,
        5.095165660882832,
        5.095186085355681,
        5.09520650982853,
        5.09522693430138,
        5.0952473587742295,
        5.0952677832470785,
        5.095288207719928,
        5.095308632192777,
        5.095329056665627,
        5.095349481138476,
        5.095369905611325,
        5.095390330084175,
        5.095410754557024,
        5.095431179029874,
        5.095451603502724,
        5.095472027975573,
        5.095492452448422,
        5.095512876921272,
        5.095533301394122,
        5.095553725866971,
        5.09557415033982,
        5.095594574812669,
        5.0956149992855195,
        5.095635423758369,
        5.095655848231218,
        5.095676272704067,
        5.095696697176916,
        5.095717121649766,
        5.095737546122615,
        5.095757970595465,
        5.095778395068315,
        5.095798819541164,
        5.095819244014014,
        5.095839668486863,
        5.095860092959713,
        5.095880517432561,
        5.095900941905411,
        5.095921366378261,
        5.09594179085111,
        5.09596221532396,
        5.095982639796809,
        5.0960030642696585,
        5.096023488742508,
        5.096043913215357,
        5.096064337688206,
        5.096084762161055,
        5.099495649126913,
        5.103029082929864,
        5.103049507402714,
        5.103069931875563,
        5.103090356348413,
        5.103110780821262,
        5.103131205294111,
        5.103151629766961,
        5.10317205423981,
        5.103192478712661,
        5.10321290318551,
        5.103233327658359,
        5.103253752131208,
        5.1032741766040575,
        5.103294601076907,
        5.103315025549756,
        5.103335450022605,
        5.103355874495454,
        5.103376298968305,
        5.103396723441155,
        5.103417147914004,
        5.103437572386853,
        5.103457996859702,
        5.103478421332552,
        5.103498845805401,
        5.103519270278251,
        5.103539694751101,
        5.10356011922395,
        5.1035805436968,
        5.103600968169649,
        5.103621392642498,
        5.103641817115347,
        5.1036622415881965,
        5.103682666061046,
        5.103703090533896,
        5.103723515006745,
        5.103743939479594,
        5.103764363952444,
        5.103784788425294,
        5.103805212898142,
        5.103825637370992,
        5.103846061843841,
        5.103866486316692,
        5.103886910789541,
        5.10390733526239,
        5.10392775973524,
        5.103948184208089,
        5.103968608680939,
        5.103989033153788,
        5.104009457626637,
        5.104029882099486,
        5.104050306572336,
        5.104070731045186,
        5.104091155518035,
        5.104111579990884,
        5.104132004463733,
        5.104152428936583,
        5.104172853409433,
        5.104193277882282,
        5.104213702355132,
        5.104234126827981,
        5.104254551300831,
        5.10427497577368,
        5.104295400246529,
        5.104315824719379,
        5.104336249192228,
        5.104356673665078,
        5.1043770981379275,
        5.1043975226107765,
        5.1044179470836255,
        5.104438371556475,
        5.104458796029325,
        5.104479220502174,
        5.104499644975023,
        5.104520069447872,
        5.104540493920723,
        5.104560918393573,
        5.104581342866421,
        5.104601767339271,
        5.10462219181212,
        5.10464261628497,
        5.104663040757819,
        5.104683465230668,
        5.104703889703518,
        5.104724314176368,
        5.1047447386492175,
        5.1047651631220665,
        5.1047855875949155,
        5.1048060120677645,
        5.104826436540614,
        5.104846861013464,
        5.104867285486313,
        5.104887709959163,
        5.104908134432012,
        5.104928558904862,
        5.104948983377712,
        5.104969407850561,
        5.10498983232341,
        5.105010256796259,
        5.105030681269109,
        5.105051105741959,
        5.105071530214809,
        5.105091954687658,
        5.105112379160507,
        5.1051328036333565,
        5.1051532281062055,
        5.1051736525790545,
        5.1051940770519035,
        5.105214501524754,
        5.105234925997604,
        5.105255350470453,
        5.105275774943302,
        5.105296199416151,
        5.105316623889001,
        5.105337048361851,
        5.1053574728347,
        5.105377897307549,
        5.105398321780399,
        5.105418746253249,
        5.105439170726098,
        5.105459595198947,
        5.105480019671797,
        5.105500444144646,
        5.1055208686174955,
        5.1055412930903445,
        5.105561717563194,
        5.105582142036043,
        5.105602566508893,
        5.105622990981743,
        5.105643415454592,
        5.105663839927441,
        5.10568426440029,
        5.10570468887314,
        5.105725113345991,
        5.105745537818839,
        5.105765962291689,
        5.105786386764538,
        5.105806811237388,
        5.105827235710237,
        5.105847660183086,
        5.105868084655936,
        5.105888509128785,
        5.1059089336016354,
        5.1059293580744844,
        5.1059497825473334,
        5.1059702070201824,
        5.105990631493032,
        5.106011055965882,
        5.10603148043873,
        5.10605190491158,
        5.10607232938443,
        5.10609275385728,
        5.10611317833013,
        5.106133602802978,
        5.106154027275828,
        5.106174451748677,
        5.106194876221527,
        5.106215300694376,
        5.106235725167226,
        5.106256149640076,
        5.106276574112925,
        5.1062969985857745,
        5.1063174230586235,
        5.1063378475314725,
        5.1063582720043215,
        5.106378696477171,
        5.106399120950022,
        5.106419545422871,
        5.10643996989572,
        5.106460394368569,
        5.106480818841419,
        5.106501243314269,
        5.106521667787118,
        5.106542092259967,
        5.106562516732816,
        5.106582941205667,
        5.106603365678516,
        5.106623790151365,
        5.106644214624215,
        5.106664639097064,
        5.1066850635699135,
        5.1067054880427625,
        5.1067259125156115,
        5.106746336988461,
        5.106766761461311,
        5.106787185934161,
        5.10680761040701,
        5.106828034879859,
        5.106848459352708,
        5.106868883825558,
        5.106889308298408,
        5.106909732771257,
        5.106930157244107,
        5.106950581716956,
        5.106971006189806,
        5.106991430662655,
        5.107011855135504,
        5.107032279608354,
        5.107052704081203,
        5.107073128554053,
        5.107093553026902,
        5.107113977499751,
        5.1071344019726,
        5.10715482644545,
        5.1071752509183,
        5.107195675391149,
        5.107216099863998,
        5.107236524336847,
        5.107256948809698,
        5.107277373282548,
        5.107297797755397,
        5.107318222228246,
        5.107338646701095,
        5.107359071173945,
        5.107379495646794,
        5.107399920119644,
        5.1074203445924935,
        5.1074407690653425,
        5.107461193538192,
        5.107481618011041,
        5.107685862739535,
        5.107706287212385,
        5.107726711685234,
        5.107747136158085,
        5.107767560630934,
        5.107787985103783,
        5.1078084095766325,
        5.1078288340494815,
        5.107849258522331,
        5.10786968299518,
        5.107890107468029,
        5.107910531940878,
        5.107930956413729,
        5.107951380886579,
        5.107971805359428,
        5.107992229832277,
        5.108012654305126,
        5.108033078777976,
        5.108053503250826,
        5.108073927723675,
        5.108094352196525,
        5.108114776669374,
        5.108135201142224,
        5.108155625615073,
        5.108176050087922,
        5.1081964745607715,
        5.1082168990336205,
        5.10823732350647,
        5.10825774797932,
        5.108278172452169,
        5.108298596925018,
        5.108319021397868,
        5.108339445870718,
        5.108359870343566,
        5.108380294816416,
        5.108400719289265,
        5.108421143762116,
        5.108441568234966,
        5.108829633219105,
        5.108850057691954,
        5.108870482164803,
        5.108890906637652,
        5.108911331110502,
        5.1089317555833516,
        5.1089521800562006,
        5.10897260452905,
        5.1089930290018994,
        5.109013453474749,
        5.109033877947598,
        5.109054302420447,
        5.109074726893296,
        5.109095151366147,
        5.109115575838997,
        5.109136000311846,
        5.109156424784695,
        5.109176849257544,
        5.109197273730394,
        5.109217698203244,
        5.109238122676092,
        5.109258547148942,
        5.109278971621792,
        5.109299396094642,
        5.109319820567491,
        5.10934024504034,
        5.1093606695131895,
        5.1093810939860385,
        5.109401518458888,
        5.109421942931737,
        5.109442367404587,
        5.109462791877436,
        5.109483216350286,
        5.109503640823136,
        5.109524065295985,
        5.109544489768834,
        5.109564914241683,
        5.109585338714533,
        5.109605763187384,
        5.109626187660232,
        5.109646612133082,
        5.109667036605931,
        5.109687461078781,
        5.10970788555163,
        5.109728310024479,
        5.1097487344973285,
        5.109769158970178,
        5.109789583443028,
        5.109810007915877,
        5.109830432388726,
        5.109850856861575,
        5.109871281334425,
        5.109891705807275,
        5.109912130280123,
        5.109932554752973,
        5.109952979225823,
        5.109973403698673,
        5.109993828171523,
        5.110014252644371,
        5.110034677117221,
        5.11005510159007,
        5.11007552606292,
        5.110095950535769,
        5.1101163750086185,
        5.110136799481468,
        5.110157223954317,
        5.110177648427167,
        5.110198072900016,
        5.110218497372865,
        5.110238921845714,
        5.110259346318564,
        5.110279770791415,
        5.110300195264264,
        5.110320619737113,
        5.110341044209962,
        5.110361468682812,
        5.110381893155662,
        5.110402317628511,
        5.11042274210136,
        5.11044316657421,
        5.1104635910470595,
        5.1104840155199085,
        5.1105044399927575,
        5.110524864465607,
        5.110545288938456,
        5.110565713411306,
        5.110586137884155,
        5.110606562357004,
        5.110626986829854,
        5.110647411302704,
        5.110667835775554,
        5.110688260248403,
        5.110708684721252,
        5.110729109194101,
        5.110749533666951,
        5.110769958139801,
        5.11079038261265,
        5.1108108070855,
        5.110831231558349,
        5.1108516560311985,
        5.1108720805040475,
        5.1108925049768965,
        5.110912929449746,
        5.110933353922595,
        5.110953778395446,
        5.110974202868295,
        5.110994627341144,
        5.111015051813993,
        5.111035476286843,
        5.111055900759693,
        5.111076325232542,
        5.111096749705391,
        5.111117174178241,
        5.111137598651091,
        5.111158023123941,
        5.11117844759679,
        5.111198872069639,
        5.111219296542488,
        5.1112397210153375,
        5.1112601454881865,
        5.1112805699610355,
        5.111300994433886,
        5.111321418906735,
        5.111341843379585,
        5.111362267852434,
        5.111382692325283,
        5.111403116798132,
        5.111423541270982,
        5.111443965743832,
        5.111464390216682,
        5.111484814689531,
        5.11150523916238,
        5.11152566363523,
        5.11154608810808,
        5.111566512580928,
        5.111586937053778,
        5.111607361526627,
        5.111627785999477,
        5.111648210472326,
        5.111668634945175,
        5.111689059418025,
        5.111709483890874,
        5.111729908363724,
        5.111750332836573,
        5.111770757309422,
        5.111791181782272,
        5.111811606255122,
        5.111832030727972,
        5.111852455200821,
        5.11187287967367,
        5.111893304146519,
        5.111913728619369,
        5.111934153092219,
        5.111954577565067,
        5.1119750020379175,
        5.1119954265107665,
        5.112015850983616,
        5.112730707533347,
        5.112751132006196,
        5.112771556479045,
        5.1127919809518945,
        5.112812405424744,
        5.112832829897593,
        5.112853254370443,
        5.112873678843292,
        5.112894103316142,
        5.112914527788991,
        5.11293495226184,
        5.112955376734689,
        5.11297580120754,
        5.11299622568039,
        5.113016650153239,
        5.113037074626088,
        5.113057499098937,
        5.113077923571787,
        5.113098348044637,
        5.113118772517485,
        5.1131391969903355,
        5.1131596214631845,
        5.113180045936034,
        5.113200470408883,
        5.113220894881732,
        5.113241319354582,
        5.113261743827431,
        5.113282168300281,
        5.11330259277313,
        5.11332301724598,
        5.113343441718829,
        5.113363866191679,
        5.113384290664529,
        5.113404715137378,
        5.113425139610227,
        5.113445564083076,
        5.113465988555926,
        5.1134864130287765,
        5.113506837501625,
        5.1135272619744745,
        5.1135476864473235,
        5.113568110920173,
        5.113588535393022,
        5.113608959865871,
        5.113629384338721,
        5.113649808811571,
        5.113670233284421,
        5.113690657757269,
        5.113711082230119,
        5.113731506702968,
        5.113751931175818,
        5.113772355648668,
        5.113792780121516,
        5.113813204594367,
        5.113833629067216,
        5.113854053540066,
        5.1138744780129155,
        5.113894902485764,
        5.1139153269586135,
        5.1139357514314625,
        5.113956175904312,
        5.113976600377161,
        5.113997024850011,
        5.114017449322861,
        5.11403787379571,
        5.11405829826856,
        5.114078722741409,
        5.114099147214258,
        5.114119571687107,
        5.114139996159957,
        5.114160420632808,
        5.114180845105657,
        5.114201269578506,
        5.114221694051355,
        5.114242118524205,
        5.1142625429970545,
        5.114282967469903,
        5.1143033919427525,
        5.114323816415602,
        5.114344240888452,
        5.114364665361301,
        5.11438508983415,
        5.114405514307,
        5.114425938779849,
        5.114446363252699,
        5.114466787725548,
        5.114487212198398,
        5.115498223604445,
        5.116672630793287,
        5.116693055266137,
        5.116713479738986,
        5.116733904211836,
        5.116754328684685,
        5.116774753157535,
        5.116795177630384,
        5.116815602103233,
        5.116836026576082,
        5.116856451048933,
        5.116876875521783,
        5.116897299994631,
        5.116917724467481,
        5.11693814894033,
        5.1169585734131795,
        5.116978997886029,
        5.1169994223588775,
        5.117019846831728,
        5.117040271304577,
        5.117060695777427,
        5.117081120250276,
        5.117101544723125,
        5.117121969195975,
        5.117142393668824,
        5.117162818141674,
        5.117183242614523,
        5.117203667087373,
        5.117224091560222,
        5.117244516033072,
        5.117264940505922,
        5.117285364978771,
        5.11730578945162,
        5.117326213924469,
        5.1173466383973185,
        5.117367062870169,
        5.117387487343017,
        5.117407911815867,
        5.117428336288716,
        5.117448760761566,
        5.117469185234415,
        5.117489609707264,
        5.117510034180114,
        5.117530458652964,
        5.117550883125814,
        5.117571307598662,
        5.117591732071512,
        5.117612156544361,
        5.117632581017211,
        5.117653005490061,
        5.117673429962909,
        5.1176938544357595,
        5.1177142789086085,
        5.117734703381458,
        5.117755127854308,
        5.117775552327156,
        5.117795976800006,
        5.117816401272855,
        5.117836825745705,
        5.117857250218554,
        5.117877674691404,
        5.117898099164254,
        5.117918523637103,
        5.117938948109953,
        5.117959372582802,
        5.117979797055651,
        5.1180002215285,
        5.11802064600135,
        5.1180410704742005,
        5.1180614949470495,
        5.1180819194198985,
        5.1181023438927475,
        5.118122768365597,
        5.118143192838447,
        5.118163617311295,
        5.118184041784145,
        5.118204466256995,
        5.118224890729845,
        5.118245315202694,
        5.118265739675543,
        5.118286164148393,
        5.118306588621242,
        5.118327013094092,
        5.118347437566941,
        5.118367862039791,
        5.11838828651264,
        5.11840871098549,
        5.1184291354583396,
        5.118449559931188,
        5.1184699844040376,
        5.1184904088768866,
        5.1185108333497364,
        5.118531257822586,
        5.118551682295435,
        5.118572106768285,
        5.118592531241134,
        5.118612955713984,
        5.118633380186833,
        5.118653804659682,
        5.118674229132532,
        5.118694653605381,
        5.118715078078232,
        5.118735502551081,
        5.11875592702393,
        5.118776351496779,
        5.118796775969629,
        5.118817200442479,
        5.118837624915328,
        5.118858049388177,
        5.1188784738610265,
        5.118898898333876,
        5.118919322806726,
        5.118939747279574,
        5.118960171752424,
        5.118980596225273,
        5.119001020698123,
        5.119021445170972,
        5.119041869643822,
        5.119062294116672,
        5.119082718589521,
        5.119103143062371,
        5.11912356753522,
        5.119143992008069,
        5.119164416480918,
        5.119184840953768,
        5.119205265426618,
        5.119225689899467,
        5.1192461143723165,
        5.1192665388451655,
        5.119286963318015,
        5.119307387790865,
        5.119327812263713,
        5.119348236736563,
        5.119368661209412,
        5.119389085682263,
        5.119409510155112,
        5.119429934627961,
        5.119450359100811,
        5.11947078357366,
        5.11949120804651,
        5.119511632519359,
        5.119532056992208,
        5.119552481465058,
        5.119572905937908,
        5.1195933304107575,
        5.119613754883606,
        5.1196341793564555,
        5.1196546038293045,
        5.119675028302154,
        5.119695452775004,
        5.119715877247853,
        5.119736301720703,
        5.119756726193552,
        5.119777150666402,
        5.119797575139251,
        5.1198179996121,
        5.11983842408495,
        5.119858848557799,
        5.119879273030649,
        5.119899697503498,
        5.119920121976348,
        5.119940546449197,
        5.119960970922047,
        5.1199813953948965,
        5.120001819867745,
        5.1200222443405945,
        5.1200426688134435,
        5.120063093286294,
        5.120083517759144,
        5.120103942231992,
        5.120124366704842,
        5.120144791177691,
        5.120165215650541,
        5.12018564012339,
        5.120206064596239,
        5.12022648906909,
        5.120246913541939,
        5.120267338014789,
        5.120287762487638,
        5.120308186960487,
        5.120328611433336,
        5.120349035906186,
        5.1203694603790355,
        5.120389884851885,
        5.120410309324734,
        5.120430733797583,
        5.120451158270433,
        5.120471582743283,
        5.120492007216131,
        5.120512431688981,
        5.12053285616183,
        5.12055328063468,
        5.12057370510753,
        5.120594129580379,
        5.120614554053229,
        5.120634978526078,
        5.120655402998928,
        5.120675827471777,
        5.120696251944626,
        5.120716676417475,
        5.1207371008903255,
        5.120757525363175,
        5.1207779498360235,
        5.120798374308873,
        5.120818798781722,
        5.120839223254572,
        5.120859647727422,
        5.12088007220027,
        5.120900496673121,
        5.12092092114597,
        5.12094134561882,
        5.120961770091669,
        5.120982194564518,
        5.121002619037368,
        5.121023043510217,
        5.121043467983067,
        5.121063892455917,
        5.121084316928766,
        5.121104741401615,
        5.1211251658744645,
        5.121145590347314,
        5.1211660148201625,
        5.121186439293012,
        5.121206863765861,
        5.121227288238711,
        5.121247712711562,
        5.12126813718441,
        5.12128856165726,
        5.121308986130109,
        5.121329410602959,
        5.121349835075808,
        5.121370259548657,
        5.121390684021507,
        5.121411108494357,
        5.121431532967207,
        5.121451957440055,
        5.121472381912905,
        5.121492806385754,
        5.1215132308586035,
        5.121533655331453,
        5.1215540798043016,
        5.121574504277152,
        5.121594928750001,
        5.121615353222851,
        5.121635777695701,
        5.121656202168549,
        5.121676626641399,
        5.121697051114248,
        5.121717475587098,
        5.121737900059948,
        5.121758324532797,
        5.121778749005647,
        5.121799173478496,
        5.121819597951346,
        5.121840022424195,
        5.121860446897044,
        5.121880871369893,
        5.121901295842743,
        5.121921720315593,
        5.1219421447884415,
        5.121962569261291,
        5.12198299373414,
        5.12200341820699,
        5.12202384267984,
        5.122044267152688,
        5.122064691625538,
        5.122085116098388,
        5.122105540571238,
        5.122125965044087,
        5.122146389516936,
        5.122166813989786,
        5.122187238462635,
        5.122207662935485,
        5.122228087408333,
        5.122248511881184,
        5.122268936354033,
        5.1222893608268825,
        5.122309785299732,
        5.1223302097725805,
        5.12235063424543,
        5.122371058718279,
        5.122391483191129,
        5.12241190766398,
        5.122432332136828,
        5.122452756609678,
        5.122473181082527,
        5.122493605555377,
        5.122514030028226,
        5.122534454501075,
        5.122554878973925,
        5.122575303446774,
        5.122595727919625,
        5.122616152392474,
        5.122636576865323,
        5.122657001338172,
        5.1226774258110215,
        5.122697850283871,
        5.12271827475672,
        5.122738699229569,
        5.122759123702419,
        5.122779548175269,
        5.122799972648119,
        5.122820397120967,
        5.122840821593817,
        5.122861246066666,
        5.122881670539516,
        5.122902095012365,
        5.122922519485215,
        5.122942943958065,
        5.122963368430914,
        5.122983792903764,
        5.123004217376613,
        5.123024641849462,
        5.123045066322311,
        5.1230654907951605,
        5.123085915268011,
        5.123106339740859,
        5.123126764213709,
        5.123147188686558,
        5.123167613159408,
        5.123188037632258,
        5.123331008942204,
        5.123351433415053,
        5.123371857887903,
        5.123392282360752,
        5.123412706833601,
        5.1234331313064505,
        5.1234535557793,
        5.12347398025215,
        5.123494404724998,
        5.123514829197848,
        5.123535253670697,
        5.123555678143547,
        5.123576102616397,
        5.123596527089246,
        5.123616951562096,
        5.123637376034945,
        5.123657800507795,
        5.123678224980644,
        5.123698649453493,
        5.123719073926343,
        5.123739498399192,
        5.1237599228720425,
        5.123780347344891,
        5.1238007718177405,
        5.1238211962905895,
        5.123841620763439,
        5.123862045236289,
        5.123882469709137,
        5.123902894181987,
        5.123923318654836,
        5.123943743127687,
        5.123964167600537,
        5.123984592073385,
        5.124005016546235,
        5.124025441019084,
        5.124045865491934,
        5.124066289964783,
        5.124086714437632,
        5.124107138910483,
        5.124127563383332,
        5.1241479878561815,
        5.1241684123290305,
        5.1241888368018795,
        5.1242092612747285,
        5.124229685747578,
        5.124250110220428,
        5.124270534693277,
        5.124290959166127,
        5.124311383638976,
        5.124331808111826,
        5.124352232584676,
        5.124372657057524,
        5.124393081530374,
        5.124413506003223,
        5.124433930476074,
        5.124454354948923,
        5.124474779421772,
        5.124495203894622,
        5.124515628367471,
        5.1245360528403205,
        5.124556477313169,
        5.1245769017860185,
        5.1245973262588675,
        5.124617750731718,
        5.124638175204568,
        5.124658599677416,
        5.124679024150266,
        5.124699448623115,
        5.124719873095965,
        5.12492411782446,
        5.1249445422973094,
        5.1249649667701584,
        5.1249853912430074,
        5.125005815715857,
        5.125026240188707,
        5.125046664661555,
        5.125067089134405,
        5.125087513607254,
        5.125107938080105,
        5.125128362552955,
        5.125148787025803,
        5.125169211498653,
        5.125189635971502,
        5.125210060444352,
        5.1252304849172,
        5.12525090939005,
        5.1252713338629,
        5.12529175833575,
        5.1253121828085995,
        5.125332607281448,
        5.1253530317542975,
        5.1253734562271465,
        5.125393880699996,
        5.125414305172846,
        5.125434729645694,
        5.125455154118545,
        5.125475578591394,
        5.125496003064244,
        5.125516427537094,
        5.125536852009942,
        5.125557276482792,
        5.125577700955641,
        5.125598125428491,
        5.125618549901341,
        5.12563897437419,
        5.12565939884704,
        5.125679823319889,
        5.1257002477927385,
        5.1257206722655875,
        5.1257410967384365,
        5.1257615212112855,
        5.125781945684136,
        5.125802370156986,
        5.125904492521233,
        5.125924916994081,
        5.125945341466931,
        5.125965765939781,
        5.125986190412631,
        5.12600661488548,
        5.126027039358329,
        5.126047463831179,
        5.126067888304028,
        5.1260883127768775,
        5.126108737249726,
        5.126129161722576,
        5.126149586195425,
        5.126170010668275,
        5.126190435141125,
        5.126210859613973,
        5.126231284086823,
        5.126251708559672,
        5.126272133032522,
        5.126292557505373,
        5.126312981978221,
        5.126333406451071,
        5.12635383092392,
        5.12637425539677,
        5.126394679869619,
        5.126415104342468,
        5.126435528815318,
        5.1264559532881675,
        5.126476377761017,
        5.126496802233866,
        5.126517226706715,
        5.126537651179564,
        5.126558075652414,
        5.126578500125264,
        5.126598924598113,
        5.126619349070962,
        5.126639773543812,
        5.126660198016662,
        5.126680622489512,
        5.12670104696236,
        5.12672147143521,
        5.126741895908059,
        5.126762320380909,
        5.126782744853758,
        5.126803169326608,
        5.1268235937994575,
        5.1268440182723065,
        5.126864442745156,
        5.1268848672180045,
        5.126905291690854,
        5.126925716163703,
        5.126946140636553,
        5.126966565109404,
        5.126986989582252,
        5.127007414055102,
        5.127027838527951,
        5.127048263000801,
        5.127068687473651,
        5.127089111946499,
        5.127109536419349,
        5.127129960892199,
        5.127150385365049,
        5.127170809837898,
        5.127191234310747,
        5.1272116587835965,
        5.1272320832564455,
        5.127252507729295,
        5.1272729322021435,
        5.127293356674993,
        5.127313781147843,
        5.127334205620693,
        5.127354630093543,
        5.127375054566391,
        5.127395479039241,
        5.12741590351209,
        5.12743632798494,
        5.12745675245779,
        5.127477176930639,
        5.127497601403489,
        5.127518025876338,
        5.127538450349188,
        5.127558874822036,
        5.127579299294886,
        5.1275997237677355,
        5.1276201482405845,
        5.127640572713435,
        5.127660997186283,
        5.127681421659133,
        5.127701846131982,
        5.127722270604832,
        5.127742695077682,
        5.12776311955053,
        5.12778354402338,
        5.127803968496229,
        5.12782439296908,
        5.12784481744193,
        5.127865241914778,
        5.131153582043536,
        5.13464616690079,
        5.13466659137364,
        5.134687015846489,
        5.134707440319339,
        5.13472786479219,
        5.134748289265038,
        5.134768713737888,
        5.134789138210737,
        5.134809562683587,
        5.1348299871564365,
        5.134850411629285,
        5.1348708361021345,
        5.134891260574984,
        5.134911685047834,
        5.134932109520682,
        5.134952533993532,
        5.134972958466382,
        5.134993382939231,
        5.135013807412081,
        5.135034231884929,
        5.13505465635778,
        5.135075080830629,
        5.135095505303479,
        5.135115929776329,
        5.135136354249177,
        5.135156778722027,
        5.135177203194876,
        5.135197627667726,
        5.135218052140575,
        5.1352384766134245,
        5.135258901086274,
        5.135279325559123,
        5.135299750031973,
        5.135320174504821,
        5.135340598977671,
        5.135361023450521,
        5.13538144792337,
        5.135401872396221,
        5.135422296869069,
        5.135442721341919,
        5.135463145814768,
        5.135483570287618,
        5.135503994760468,
        5.135524419233316,
        5.135544843706166,
        5.135565268179016,
        5.1355856926518655,
        5.135606117124715,
        5.1356265415975635,
        5.135646966070413,
        5.135667390543262,
        5.135687815016112,
        5.135708239488961,
        5.135728663961811,
        5.135749088434661,
        5.13576951290751,
        5.13578993738036,
        5.135810361853208,
        5.135830786326058,
        5.135851210798907,
        5.135871635271757,
        5.135892059744607,
        5.135912484217456,
        5.135932908690306,
        5.135953333163155,
        5.1359737576360045,
        5.135994182108854,
        5.1360146065817025,
        5.136035031054552,
        5.136055455527401,
        5.136075880000252,
        5.1360963044731,
        5.13611672894595,
        5.1361371534188,
        5.136157577891649,
        5.136178002364499,
        5.136198426837347,
        5.136218851310197,
        5.136239275783047,
        5.136259700255897,
        5.136280124728747,
        5.136300549201595,
        5.136320973674445,
        5.136341398147294,
        5.1363618226201435,
        5.136382247092993,
        5.136402671565842,
        5.136423096038692,
        5.136443520511541,
        5.136463944984391,
        5.13648436945724,
        5.136504793930089,
        5.136525218402939,
        5.136545642875788,
        5.136566067348638,
        5.136586491821487,
        5.136606916294337,
        5.136627340767186,
        5.136647765240036,
        5.136668189712886,
        5.136688614185734,
        5.136709038658584,
        5.136729463131433,
        5.136749887604283,
        5.136770312077132,
        5.136790736549981,
        5.136811161022831,
        5.13683158549568,
        5.13685200996853,
        5.136872434441378,
        5.136892858914228,
        5.136913283387079,
        5.136933707859928,
        5.136954132332778,
        5.136974556805626,
        5.136994981278476,
        5.137015405751325,
        5.137035830224175,
        5.137056254697025,
        5.137076679169874,
        5.1370971036427235,
        5.1371175281155725,
        5.137137952588422,
        5.137158377061272,
        5.13717880153412,
        5.13719922600697,
        5.137219650479819,
        5.137240074952669,
        5.137260499425519,
        5.137280923898368,
        5.137301348371218,
        5.137321772844067,
        5.137342197316917,
        5.137362621789765,
        5.137383046262615,
        5.137403470735464,
        5.1374851686268626,
        5.137944719265976,
        5.138240874122291,
        5.139486766966108,
        5.139507191438956,
        5.139588889330354,
        5.139609313803204,
        5.139711436167451,
        5.1397318606403,
        5.13975228511315,
        5.139833983004547,
        5.139854407477397,
        5.139874831950247,
        5.140712235337073,
        5.141079875848363,
        5.141100300321212,
        5.141896854762341,
        5.14191727923519,
        5.142039826072287,
        5.142060250545136,
        5.1420806750179855,
        5.142101099490835,
        5.1421215239636835,
        5.142141948436534,
        5.142162372909383,
        5.142182797382233,
        5.142203221855083,
        5.142223646327931,
        5.142244070800781,
        5.14226449527363,
        5.14228491974648,
        5.142305344219329,
        5.142325768692179,
        5.142346193165029,
        5.142366617637878,
        5.142387042110728,
        5.142407466583576,
        5.142427891056426,
        5.142448315529275,
        5.1424687400021245,
        5.142489164474975,
        5.142509588947823,
        5.142530013420673,
        5.142550437893522,
        5.142570862366372,
        5.142591286839222,
        5.14261171131207,
        5.14263213578492,
        5.14265256025777,
        5.14267298473062,
        5.142693409203468,
        5.142713833676318,
        5.142734258149168,
        5.142754682622017,
        5.142775107094867,
        5.142795531567715,
        5.1428159560405655,
        5.1428363805134145,
        5.142856804986264,
        5.142877229459113,
        5.142897653931962,
        5.142918078404812,
        5.142938502877661,
        5.142958927350511,
        5.142979351823361,
        5.14299977629621,
        5.14302020076906,
        5.143040625241909,
        5.143061049714759,
        5.143081474187607,
        5.143101898660457,
        5.143122323133307,
        5.143142747606156,
        5.1431631720790065,
        5.143183596551855,
        5.1432040210247045,
        5.1432244454975535,
        5.143244869970403,
        5.143265294443253,
        5.143285718916101,
        5.143306143388951,
        5.143326567861801,
        5.143346992334651,
        5.143367416807501,
        5.143387841280349,
        5.143408265753199,
        5.143428690226048,
        5.143449114698898,
        5.143469539171746,
        5.143489963644597,
        5.143510388117447,
        5.143530812590296,
        5.1435512370631455,
        5.143571661535994,
        5.1435920860088435,
        5.1436125104816925,
        5.143632934954542,
        5.143653359427393,
        5.143673783900241,
        5.143694208373091,
        5.14371463284594,
        5.14373505731879,
        5.143755481791639,
        5.143775906264488,
        5.143796330737338,
        5.143816755210187,
        5.143837179683038,
        5.143857604155886,
        5.143878028628736,
        5.143898453101586,
        5.143918877574435,
        5.143939302047285,
        5.143959726520133,
        5.143980150992983,
        5.1440005754658324,
        5.144020999938682,
        5.144041424411532,
        5.14406184888438,
        5.14408227335723,
        5.144102697830079,
        5.144123122302929,
        5.144143546775779,
        5.144163971248628,
        5.144184395721478,
        5.144204820194327,
        5.144225244667177,
        5.144245669140026,
        5.144266093612875,
        5.144286518085725,
        5.144306942558574,
        5.1443273670314245,
        5.144347791504273,
        5.1443682159771225,
        5.1443886404499715,
        5.144409064922821,
        5.144429489395671,
        5.144449913868519,
        5.144470338341369,
        5.144490762814218,
        5.144511187287069,
        5.144531611759918,
        5.144552036232767,
        5.144572460705617,
        5.144592885178466,
        5.144613309651316,
        5.144633734124164,
        5.144654158597014,
        5.144674583069865,
        5.144695007542714,
        5.1447154320155635,
        5.144735856488412,
        5.1447562809612615,
        5.1447767054341105,
        5.14479712990696,
        5.14481755437981,
        5.144837978852659,
        5.144858403325509,
        5.144878827798358,
        5.144899252271208,
        5.144919676744058,
        5.144940101216906,
        5.144960525689756,
        5.144980950162605,
        5.145001374635456,
        5.145021799108304,
        5.145042223581154,
        5.145062648054004,
        5.145083072526853,
        5.1451034969997025,
        5.145123921472551,
        5.1451443459454005,
        5.1451647704182495,
        5.1451851948911,
        5.14520561936395,
        5.145226043836798,
        5.145246468309648,
        5.145266892782497,
        5.145287317255347,
        5.145307741728196,
        5.145328166201045,
        5.145348590673896,
        5.145369015146745,
        5.145389439619595,
        5.145409864092443,
        5.145430288565293,
        5.145450713038143,
        5.145471137510992,
        5.1454915619838415,
        5.1455119864566905,
        5.14553241092954,
        5.145552835402389,
        5.145573259875239,
        5.145593684348089,
        5.145614108820937,
        5.145634533293787,
        5.145654957766636,
        5.145675382239487,
        5.145695806712337,
        5.145716231185185,
        5.145838778022282,
        5.1458592024951315,
        5.145879626967981,
        5.146900850610453,
        5.1477791029429785,
        5.148248865818515,
        5.148269290291364,
        5.148350988182762,
        5.148371412655612,
        5.148391837128462,
        5.148412261601311,
        5.148534808438407,
        5.1492905139338365,
        5.151557630420124,
        5.1515780548929735,
        5.151598479365823,
        5.1516189038386715,
        5.151639328311521,
        5.151659752784371,
        5.15168017725722,
        5.15170060173007,
        5.151721026202918,
        5.151741450675768,
        5.151761875148618,
        5.151782299621468,
        5.151802724094318,
        5.151823148567166,
        5.151843573040016,
        5.151863997512865,
        5.151884421985715,
        5.151904846458565,
        5.151925270931414,
        5.1519456954042635,
        5.1519661198771125,
        5.151986544349962,
        5.1520069688228105,
        5.15202739329566,
        5.15204781776851,
        5.152068242241359,
        5.15208866671421,
        5.152109091187058,
        5.152129515659908,
        5.152149940132757,
        5.152170364605607,
        5.152190789078456,
        5.152211213551305,
        5.152231638024155,
        5.152252062497005,
        5.152272486969855,
        5.152292911442704,
        5.152313335915553,
        5.1523337603884025,
        5.1523541848612515,
        5.152374609334101,
        5.1523950338069495,
        5.152415458279799,
        5.15243588275265,
        5.152456307225499,
        5.152476731698349,
        5.152497156171197,
        5.152517580644047,
        5.152538005116896,
        5.152558429589746,
        5.152578854062596,
        5.152599278535445,
        5.152619703008295,
        5.152640127481144,
        5.152660551953994,
        5.152680976426843,
        5.152701400899692,
        5.1527218253725415,
        5.1527422498453905,
        5.152762674318241,
        5.152783098791089,
        5.152803523263939,
        5.152823947736789,
        5.152844372209638,
        5.152864796682488,
        5.152885221155336,
        5.152905645628186,
        5.152926070101036,
        5.152946494573886,
        5.152966919046735,
        5.152987343519584,
        5.153007767992434,
        5.153028192465283,
        5.153048616938133,
        5.153069041410982,
        5.153089465883831,
        5.153109890356681,
        5.15313031482953,
        5.15315073930238,
        5.153171163775228,
        5.153191588248078,
        5.153212012720928,
        5.153232437193777,
        5.153252861666627,
        5.153273286139476,
        5.153293710612326,
        5.153314135085175,
        5.153334559558025,
        5.153354984030875,
        5.153375408503723,
        5.153395832976573,
        5.153416257449422,
        5.1534366819222726,
        5.153457106395122,
        5.153477530867971,
        5.1534979553408204,
        5.1535183798136694,
        5.153538804286519,
        5.153681775596465,
        5.153702200069314,
        5.153722624542164,
        5.153743049015013,
        5.153763473487862,
        5.153783897960713,
        5.153804322433562,
        5.153824746906412,
        5.153845171379261,
        5.15386559585211,
        5.1538860203249595,
        5.1539064447978085,
        5.153926869270658,
        5.153947293743507,
        5.153967718216357,
        5.153988142689207,
        5.154008567162056,
        5.154028991634906,
        5.154049416107754,
        5.154069840580604,
        5.154090265053453,
        5.154110689526304,
        5.154131113999153,
        5.154151538472002,
        5.154171962944852,
        5.154192387417701,
        5.154212811890551,
        5.1542332363634,
        5.154253660836249,
        5.154274085309099,
        5.154294509781948,
        5.154314934254798,
        5.154335358727646,
        5.154355783200496,
        5.154376207673346,
        5.154396632146195,
        5.154417056619044,
        5.154437481091893,
        5.154457905564744,
        5.154478330037593,
        5.154498754510443,
        5.154519178983292,
        5.154539603456141,
        5.154560027928991,
        5.15458045240184,
        5.15460087687469,
        5.1546213013475395,
        5.1546417258203885,
        5.154662150293238,
        5.154682574766087,
        5.154702999238937,
        5.154723423711785,
        5.154743848184635,
        5.154764272657485,
        5.154784697130335,
        5.154805121603185,
        5.154825546076033,
        5.154845970548883,
        5.154866395021732,
        5.154886819494582,
        5.154907243967432,
        5.15492766844028,
        5.154948092913131,
        5.15496851738598,
        5.1549889418588295,
        5.1550093663316785,
        5.155213611060172,
        5.155234035533022,
        5.155254460005871,
        5.155274884478721,
        5.155295308951571,
        5.15531573342442,
        5.15533615789727,
        5.155356582370119,
        5.1553770068429685,
        5.1553974313158175,
        5.1554178557886665,
        5.155438280261516,
        5.155458704734366,
        5.155479129207216,
        5.155499553680064,
        5.155519978152914,
        5.155540402625764,
        5.155560827098613,
        5.155581251571463,
        5.155601676044311,
        5.155622100517162,
        5.155642524990011,
        5.155662949462861,
        5.155683373935711,
        5.155703798408559,
        5.155724222881409,
        5.155744647354258,
        5.1557650718271075,
        5.155785496299957,
        5.155805920772806,
        5.155826345245656,
        5.155846769718505,
        5.155867194191355,
        5.155887618664203,
        5.155908043137053,
        5.155928467609903,
        5.155948892082752,
        5.155969316555603,
        5.155989741028451,
        5.156010165501301,
        5.15603058997415,
        5.156051014447,
        5.156071438919849,
        5.156091863392698,
        5.156112287865548,
        5.1561327123383975,
        5.156153136811247,
        5.156173561284096,
        5.156193985756945,
        5.156214410229795,
        5.156234834702644,
        5.156255259175494,
        5.156275683648342,
        5.156296108121193,
        5.156316532594043,
        5.156336957066892,
        5.156357381539742,
        5.15637780601259,
        5.15639823048544,
        5.156418654958289,
        5.156439079431139,
        5.156459503903988,
        5.156479928376838,
        5.1565003528496876,
        5.1565207773225366,
        5.156541201795386,
        5.156561626268235,
        5.1565820507410844,
        5.156602475213934,
        5.156622899686783,
        5.156643324159634,
        5.156663748632482,
        5.156684173105332,
        5.156704597578182,
        5.156725022051031,
        5.15674544652388,
        5.156765870996729,
        5.156786295469579,
        5.156806719942429,
        5.156827144415279,
        5.156847568888128,
        5.156867993360977,
        5.156888417833827,
        5.156908842306676,
        5.1569292667795255,
        5.1569496912523745,
        5.156970115725224,
        5.156990540198074,
        5.157010964670923,
        5.157031389143773,
        5.157051813616621,
        5.157072238089471,
        5.157092662562321,
        5.15711308703517,
        5.15713351150802,
        5.157153935980869,
        5.157174360453719,
        5.157194784926568,
        5.157215209399418,
        5.157235633872268,
        5.157256058345116,
        5.157276482817966,
        5.157296907290815,
        5.157317331763665,
        5.157337756236515,
        5.157358180709363,
        5.157378605182213,
        5.157399029655062,
        5.157419454127912,
        5.15743987860076,
        5.15746030307361,
        5.157480727546461,
        5.15750115201931,
        5.157521576492159,
        5.157542000965008,
        5.157562425437858,
        5.157582849910707,
        5.157603274383557,
        5.157623698856406,
        5.157644123329256,
        5.1576645478021055,
        5.1576849722749545,
        5.157705396747804,
        5.157725821220653,
        5.157746245693502,
        5.157766670166352,
        5.157787094639201,
        5.157807519112051,
        5.1578279435849,
        5.15784836805775,
        5.1578687925306,
        5.157889217003449,
        5.157909641476299,
        5.157930065949147,
        5.157950490421997,
        5.157970914894846,
        5.157991339367697,
        5.1580117638405465,
        5.158032188313395,
        5.1580526127862445,
        5.1580730372590935
    ],
    "flux": [
        0.948575,
        0.957896,
        0.967216,
        0.976536,
        0.982243,
        0.977271,
        0.953223,
        0.961881,
        0.964534,
        0.960891,
        0.954691,
        0.950305,
        0.951467,
        0.959956,
        0.998394,
        0.978867,
        0.94015,
        0.924883,
        0.940452,
        0.939138,
        0.943756,
        0.946875,
        0.93661,
        0.928906,
        0.93299,
        0.940009,
        0.925705,
        0.935771,
        0.932936,
        0.927396,
        0.931873,
        0.941998,
        0.941188,
        0.953965,
        0.966393,
        0.971399,
        0.978348,
        0.975685,
        0.955911,
        0.932631,
        0.916311,
        0.915878,
        0.928673,
        0.942513,
        0.952681,
        0.953044,
        0.927302,
        0.902274,
        0.89737,
        0.874562,
        0.889729,
        0.952547,
        1.01123,
        1.00215,
        0.670192,
        0.658242,
        0.729952,
        0.803588,
        0.811533,
        0.861382,
        0.868173,
        0.861101,
        0.873915,
        0.891439,
        0.905391,
        0.920285,
        0.924189,
        0.9288,
        0.927974,
        0.920323,
        0.927908,
        0.935194,
        0.9393,
        0.946312,
        0.946037,
        0.940947,
        0.940457,
        0.945425,
        0.942827,
        0.9366,
        0.927439,
        0.932431,
        0.945887,
        0.946134,
        0.92886,
        0.957899,
        0.955017,
        0.945468,
        0.941463,
        0.942263,
        0.939433,
        0.929132,
        0.92164,
        0.922936,
        0.922602,
        0.92127,
        0.921464,
        0.919591,
        0.897582,
        0.900149,
        0.91639,
        0.915905,
        0.916221,
        0.93,
        0.933517,
        0.933787,
        0.928294,
        0.93661,
        0.938894,
        0.935121,
        0.936884,
        0.947738,
        0.93922,
        0.927697,
        0.925009,
        0.936765,
        0.947817,
        0.943776,
        0.940941,
        0.94417,
        0.941615,
        0.935421,
        0.927841,
        0.928195,
        0.939423,
        0.933083,
        0.933103,
        0.941018,
        0.944025,
        0.941859,
        0.937336,
        0.931502,
        0.922483,
        0.92237,
        0.936398,
        0.941501,
        0.939217,
        0.936129,
        0.933449,
        0.938281,
        0.944182,
        0.946674,
        0.942665,
        0.941212,
        0.946384,
        0.946432,
        0.929742,
        0.941953,
        0.946402,
        0.942784,
        0.941066,
        0.945522,
        0.946733,
        0.966971,
        0.970014,
        0.97166,
        0.973067,
        0.969404,
        0.958122,
        0.947506,
        0.969371,
        0.97229,
        0.968588,
        0.964843,
        0.962897,
        0.961054,
        0.957192,
        0.968513,
        0.972232,
        0.974955,
        0.969661,
        0.960322,
        0.959617,
        0.966659,
        0.973414,
        0.96768,
        0.966308,
        0.97471,
        0.989062,
        1.00247,
        1.01617,
        1.0281,
        1.06314,
        1.10229,
        1.14741,
        1.22462,
        1.35677,
        1.4818,
        1.56186,
        1.64007,
        1.70683,
        1.76606,
        1.83298,
        1.92916,
        2.07809,
        2.28442,
        2.45452,
        2.58933,
        2.69843,
        2.78199,
        2.81197,
        2.69553,
        2.15084,
        1.398,
        0.74782,
        0.347617,
        0.209265,
        0.270059,
        0.446271,
        0.641795,
        0.780184,
        0.892716,
        1.01967,
        1.16699,
        1.29656,
        1.40212,
        1.41102,
        1.39509,
        1.38033,
        1.35113,
        1.29003,
        1.21832,
        1.16313,
        1.14745,
        1.11313,
        1.08787,
        1.07654,
        1.06442,
        1.04516,
        1.06989,
        1.10439,
        1.15825,
        1.15563,
        1.03159,
        0.851643,
        0.866158,
        0.901504,
        0.926145,
        0.973468,
        0.998951,
        1.00696,
        1.03484,
        1.07737,
        1.12021,
        1.11727,
        1.14966,
        1.17994,
        1.18143,
        1.16754,
        1.17307,
        1.17577,
        1.19841,
        1.18552,
        1.1567,
        1.13547,
        1.12752,
        1.12096,
        1.09116,
        1.08333,
        1.05011,
        1.01152,
        0.973476,
        0.928829,
        0.905808,
        0.92706,
        0.93621,
        0.944897,
        0.952682,
        0.96054,
        0.971573,
        0.983324,
        0.986227,
        0.987657,
        0.9763,
        0.970444,
        0.969721,
        0.959843,
        0.958452,
        0.960424,
        0.955577,
        0.955114,
        0.950153,
        0.936826,
        0.92478,
        0.931318,
        0.940223,
        0.947185,
        0.937664,
        0.933622,
        0.94141,
        0.942953,
        0.929122,
        0.925593,
        0.935831,
        0.943032,
        0.938088,
        0.930545,
        0.93756,
        0.957046,
        0.946389,
        0.937579,
        0.934764,
        0.937209,
        0.934523,
        0.920801,
        0.924081,
        0.927951,
        0.915685,
        0.928311,
        0.937914,
        0.934498,
        0.936161,
        0.937756,
        0.945783,
        0.946153,
        0.943204,
        0.93761,
        0.933608,
        0.93455,
        0.930038,
        0.932887,
        0.926936,
        0.936671,
        0.942441,
        0.941224,
        0.948233,
        0.951096,
        0.94972,
        0.944942,
        0.948611,
        0.952572,
        0.956616,
        0.967747,
        0.979338,
        0.985189,
        0.998693,
        1.00261,
        0.995873,
        0.996883,
        1.01461,
        1.00901,
        1.02846,
        1.00784,
        0.983741,
        0.969734,
        0.968882,
        0.976524,
        0.980347,
        0.982411,
        0.988158,
        0.975949,
        0.967852,
        0.97509,
        0.982677,
        0.961098,
        0.968295,
        0.981993,
        0.99264,
        0.989462,
        0.973872,
        0.960129,
        0.966097,
        0.971251,
        0.963829,
        0.956719,
        0.957114,
        0.960429,
        0.959868,
        0.958605,
        0.945693,
        0.938726,
        0.945667,
        0.946745,
        0.941683,
        0.939741,
        0.936127,
        0.938398,
        0.932712,
        0.951762,
        0.965896,
        0.957397,
        0.943422,
        0.965165,
        0.955811,
        0.964775,
        0.962196,
        0.956425,
        0.957448,
        0.961103,
        0.947864,
        0.935338,
        0.93718,
        0.939068,
        0.949201,
        0.958388,
        0.957486,
        0.953151,
        0.958285,
        0.958162,
        0.948749,
        0.946458,
        0.945384,
        0.940813,
        0.943791,
        0.952904,
        0.945455,
        0.948691,
        0.950905,
        0.951273,
        0.956593,
        0.968311,
        0.957277,
        0.936278,
        0.952884,
        0.972253,
        0.970322,
        0.95742,
        0.959343,
        0.95023,
        0.960952,
        0.955426,
        0.952132,
        0.959517,
        0.966242,
        0.959815,
        0.967246,
        0.96623,
        0.967401,
        0.966758,
        0.971938,
        0.975619,
        0.967849,
        0.969181,
        0.961286,
        0.964349,
        0.970554,
        0.97895,
        0.986583,
        0.991309,
        0.997045,
        0.989515,
        0.985839,
        0.986664,
        0.986326,
        0.981775,
        0.973794,
        0.967026,
        0.990256,
        0.982912,
        0.978468,
        0.985424,
        0.99048,
        0.986489,
        0.988043,
        0.967103,
        0.962591,
        0.959398,
        0.962006,
        0.95806,
        0.950278,
        0.965388,
        0.9674,
        0.961311,
        0.968174,
        0.964436,
        0.961794,
        0.970156,
        0.976267,
        0.963677,
        0.966658,
        0.965143,
        0.968675,
        0.978081,
        0.987183,
        0.987666,
        0.976877,
        0.975627,
        0.973449,
        0.971105,
        0.968094,
        0.968098,
        0.969731,
        0.952683,
        0.991011,
        0.976956,
        0.982763,
        0.981708,
        0.964504,
        0.952199,
        0.963015,
        0.969473,
        0.949232,
        0.945438,
        0.954991,
        0.955382,
        0.946462,
        0.966257,
        0.986772,
        0.973467,
        0.962696,
        0.957866,
        0.948744,
        0.936587,
        0.939647,
        0.943505,
        0.936577,
        0.949232,
        0.953315,
        0.950856,
        0.955577,
        0.96807,
        0.952264,
        0.961572,
        0.947111,
        0.949678,
        0.955232,
        0.953335,
        0.949875,
        0.938583,
        0.925923,
        0.952794,
        0.966454,
        0.96393,
        0.952788,
        0.941848,
        0.943512,
        0.943152,
        0.949799,
        0.94518,
        0.948477,
        0.953873,
        0.949947,
        0.949757,
        0.955806,
        0.9503,
        0.934291,
        0.928868,
        0.937116,
        0.950138,
        0.958122,
        0.962453,
        0.962678,
        0.953564,
        0.946433,
        0.942253,
        0.940567,
        0.941565,
        0.936804,
        0.934677,
        0.938801,
        0.935833,
        0.941681,
        0.953076,
        0.955512,
        0.964555,
        0.963692,
        0.965375,
        0.971163,
        0.960423,
        0.940358,
        0.93525,
        0.951496,
        0.939988,
        0.943348,
        0.943355,
        0.947894,
        0.957082,
        0.964191,
        0.962435,
        0.950046,
        0.948889,
        0.966616,
        0.99243,
        1.02636,
        1.06984,
        1.11475,
        1.13631,
        1.16801,
        1.18389,
        1.19168,
        1.19718,
        1.21553,
        1.255,
        1.2893,
        1.29755,
        1.31699,
        1.35186,
        1.40438,
        1.46714,
        1.48065,
        1.24167,
        0.0028774,
        1.77218,
        1.60005,
        1.80859,
        1.9529,
        2.01126,
        1.83675,
        1.75857,
        1.72894,
        1.52102,
        1.06025,
        0.532207,
        0.22903,
        0.115293,
        0.219117,
        0.408095,
        0.591525,
        0.70695,
        0.763293,
        0.859685,
        0.984595,
        1.09411,
        1.17496,
        1.21762,
        1.22171,
        1.19763,
        1.16276,
        1.13598,
        1.09893,
        1.07532,
        1.05894,
        1.03607,
        1.01711,
        1.02327,
        1.01569,
        0.986537,
        0.989626,
        0.990223,
        0.987201,
        0.977042,
        0.952202,
        0.919742,
        0.898844,
        0.912044,
        0.932434,
        0.943045,
        0.944132,
        0.941301,
        0.93609,
        0.950827,
        0.93345,
        0.933036,
        0.94165,
        0.944088,
        0.935371,
        0.928966,
        0.957225,
        0.939313,
        0.932056,
        0.928366,
        0.927676,
        0.932042,
        0.935145,
        0.916245,
        0.923608,
        0.930935,
        0.938359,
        0.944393,
        0.939732,
        0.928474,
        0.934449,
        0.933205,
        0.937656,
        0.926063,
        0.930693,
        0.939269,
        0.938354,
        0.937833,
        0.945704,
        0.96154,
        0.940563,
        0.922859,
        0.921376,
        0.929499,
        0.932899,
        0.924699,
        0.938104,
        0.947621,
        0.951841,
        0.950572,
        0.950024,
        0.956941,
        0.966258,
        0.936357,
        0.947612,
        0.96391,
        0.961577,
        0.949152,
        0.940727,
        0.942344,
        0.95488,
        0.955157,
        0.950136,
        0.95455,
        0.953444,
        0.950989,
        0.951913,
        0.93495,
        0.941104,
        0.959227,
        0.977581,
        0.987561,
        0.997961,
        1.00665,
        0.997242,
        0.995019,
        1.00376,
        1.03384,
        1.03226,
        1.03533,
        1.01522,
        0.994909,
        0.986136,
        0.978099,
        0.974293,
        0.984188,
        0.99039,
        0.985105,
        0.967402,
        0.985644,
        0.980774,
        0.970817,
        0.969869,
        0.96603,
        0.964378,
        0.970628,
        0.962041,
        0.972907,
        0.967673,
        0.959053,
        0.952708,
        0.950981,
        0.950106,
        0.944366,
        0.946742,
        0.957088,
        0.955021,
        0.947577,
        0.940799,
        0.942683,
        0.949223,
        0.940737,
        0.929502,
        0.94443,
        0.946014,
        0.942924,
        0.937842,
        0.936476,
        0.933364,
        0.932443,
        0.934441,
        0.936898,
        0.924776,
        0.921585,
        0.928028,
        0.932171,
        0.929407,
        0.937094,
        0.936682,
        0.939055,
        0.93391,
        0.92851,
        0.925533,
        0.926062,
        0.924398,
        0.931428,
        0.907314,
        0.901608,
        0.908551,
        0.910027,
        0.909436,
        0.907585,
        0.902235,
        0.900924,
        0.913638,
        0.914774,
        0.905161,
        0.894487,
        0.900282,
        0.8941,
        0.894702,
        0.891767,
        0.883126,
        0.880383,
        0.878749,
        0.877522,
        0.87072,
        0.886121,
        0.874331,
        0.880182,
        0.891583,
        0.890566,
        0.869926,
        0.846394,
        0.852706,
        0.822412,
        0.90179,
        0.901363,
        0.781716,
        0.673354,
        0.816899,
        0.820104,
        0.815906,
        0.766777,
        0.852936,
        0.840363,
        0.843549,
        0.864588,
        0.873448,
        0.870884,
        0.869318,
        0.88034,
        0.892246,
        0.886549,
        0.884251,
        0.885986,
        0.878398,
        0.877123,
        0.8903,
        0.914582,
        0.91478,
        0.908763,
        0.914304,
        0.923021,
        0.928091,
        0.944911,
        0.948116,
        0.93056,
        0.920603,
        0.920042,
        0.927895,
        0.932772,
        0.920586,
        0.919913,
        0.920135,
        0.926354,
        0.936579,
        0.939416,
        0.930782,
        0.927198,
        0.928831,
        0.925349,
        0.927821,
        0.937712,
        0.935517,
        0.921876,
        0.914012,
        0.930357,
        0.929979,
        0.92402,
        0.929677,
        0.922894,
        0.914724,
        0.911866,
        0.913537,
        0.912849,
        0.904309,
        0.904261,
        0.90289,
        0.90321,
        0.907652,
        0.916542,
        0.911846,
        0.888981,
        0.908223,
        0.905825,
        0.897072,
        0.888672,
        0.887319,
        0.888951,
        0.893675,
        0.887902,
        0.884103,
        0.897267,
        0.909736,
        0.903349,
        0.890524,
        0.88499,
        0.880439,
        0.886118,
        0.901592,
        0.904944,
        0.901062,
        0.898687,
        0.906126,
        0.90407,
        0.89996,
        0.908479,
        0.902226,
        0.895568,
        0.89791,
        0.905739,
        0.904565,
        0.894848,
        0.898623,
        0.890685,
        0.898052,
        0.902111,
        0.901041,
        0.904549,
        0.920474,
        0.933227,
        0.964369,
        1.00018,
        1.03724,
        1.067,
        1.09243,
        1.12151,
        1.14223,
        1.15976,
        1.16065,
        1.15839,
        1.1605,
        1.16118,
        1.14131,
        1.11986,
        1.11015,
        1.09373,
        1.0804,
        1.0526,
        1.02216,
        0.977988,
        0.9195,
        0.860918,
        0.821799,
        0.82336,
        0.832726,
        0.84675,
        0.855488,
        0.865462,
        0.880906,
        0.896929,
        0.91455,
        0.923705,
        0.935562,
        0.938827,
        0.939138,
        0.931984,
        0.917095,
        0.91717,
        0.917336,
        0.904434,
        0.89888,
        0.897714,
        0.902888,
        0.907903,
        0.898274,
        0.899825,
        0.899042,
        0.906558,
        0.903911,
        0.895454,
        0.896184,
        0.904073,
        0.907161,
        0.903586,
        0.90196,
        0.899409,
        0.896103,
        0.896291,
        0.892253,
        0.883884,
        0.887832,
        0.880284,
        0.885207,
        0.891031,
        0.889812,
        0.886582,
        0.881647,
        0.880779,
        0.881351,
        0.899788,
        0.902515,
        0.894604,
        0.883605,
        0.881956,
        0.883897,
        0.888812,
        0.899232,
        0.888578,
        0.893176,
        0.896733,
        0.890983,
        0.883644,
        0.886377,
        0.884977,
        0.893073,
        0.892307,
        0.890859,
        0.883005,
        0.885895,
        0.893739,
        0.889603,
        0.899414,
        0.890538,
        0.901728,
        0.903221,
        0.895262,
        0.888528,
        0.890617,
        0.905656,
        0.908554,
        0.908309,
        0.903995,
        0.905488,
        0.908693,
        0.909334,
        0.911451,
        0.910978,
        0.916972,
        0.91753,
        0.922421,
        0.924751,
        0.922265,
        0.923899,
        0.921556,
        0.903433,
        0.889309,
        0.894554,
        0.910023,
        0.917195,
        0.912245,
        0.911218,
        0.900915,
        0.895333,
        0.902701,
        0.884529,
        0.882056,
        0.885948,
        0.890581,
        0.899031,
        0.891115,
        0.900144,
        0.89349,
        0.893674,
        0.891691,
        0.890198,
        0.885239,
        0.886784,
        0.891033,
        0.892795,
        0.886915,
        0.89181,
        0.887259,
        0.891172,
        0.898922,
        0.888616,
        0.883615,
        0.883833,
        0.884146,
        0.882487,
        0.887902,
        0.889718,
        0.88415,
        0.879144,
        0.883502,
        0.877986,
        0.896192,
        0.898375,
        0.893402,
        0.893623,
        0.889581,
        0.892951,
        0.902636,
        0.904659,
        0.902828,
        0.895357,
        0.893557,
        0.904243,
        0.926669,
        0.922403,
        0.939639,
        0.946437,
        0.935318,
        0.941251,
        0.961028,
        0.965954,
        0.973223,
        0.968319,
        0.961001,
        0.94721,
        0.939043,
        0.921003,
        0.912572,
        0.923103,
        0.929147,
        0.921667,
        0.927878,
        0.925771,
        0.924259,
        0.922858,
        0.917695,
        0.918996,
        0.925058,
        0.918761,
        0.916036,
        0.91378,
        0.918414,
        0.922319,
        0.914868,
        0.913726,
        0.914092,
        0.904638,
        0.88656,
        0.888505,
        0.889473,
        0.893797,
        0.898429,
        0.896688,
        0.888105,
        0.885252,
        0.886656,
        0.88454,
        0.885256,
        0.891295,
        0.890023,
        0.876426,
        0.886017,
        0.881626,
        0.874681,
        0.879306,
        0.887509,
        0.878531,
        0.87693,
        0.887181,
        0.885797,
        0.883335,
        0.887296,
        0.888257,
        0.884249,
        0.882135,
        0.872783,
        0.874042,
        0.879866,
        0.884601,
        0.884652,
        0.878332,
        0.876119,
        0.87484,
        0.868482,
        0.861555,
        0.864997,
        0.871533,
        0.877745,
        0.875088,
        0.872504,
        0.878564,
        0.883436,
        0.881619,
        0.872635,
        0.87956,
        0.882084,
        0.877077,
        0.865826,
        0.861019,
        0.880031,
        0.885426,
        0.87948,
        0.87109,
        0.87361,
        0.879883,
        0.882691,
        0.881926,
        0.890174,
        0.890567,
        0.880907,
        0.878928,
        0.883347,
        0.881024,
        0.8729,
        0.892058,
        0.887385,
        0.896505,
        0.901551,
        0.891791,
        0.886004,
        0.888699,
        0.884419,
        0.893487,
        0.878229,
        0.873293,
        0.881068,
        0.87692,
        0.863767,
        0.857939,
        0.860806,
        0.850531,
        0.85063,
        0.847545,
        0.851211,
        0.861248,
        0.86876,
        0.869313,
        0.871757,
        0.890735,
        0.877258,
        0.878411,
        0.877072,
        0.864584,
        0.859048,
        0.869976,
        0.867087,
        0.879625,
        0.873826,
        0.849113,
        0.853976,
        0.874918,
        0.885857,
        0.879048,
        0.869714,
        0.873465,
        0.875465,
        0.869078,
        0.857406,
        0.865462,
        0.883675,
        0.875883,
        0.850981,
        0.861631,
        0.861401,
        0.860321,
        0.856313,
        0.860673,
        0.87207,
        0.875501,
        0.870676,
        0.845152,
        0.853358,
        0.854006,
        0.856573,
        0.865471,
        0.870306,
        0.864337,
        0.871849,
        0.84368,
        0.842032,
        0.854431,
        0.867397,
        0.871238,
        0.872537,
        0.88634,
        0.897243,
        0.894558,
        0.91192,
        0.93841,
        0.979946,
        1.01861,
        1.03954,
        1.05625,
        1.08654,
        1.06888,
        1.09537,
        1.12427,
        1.12687,
        1.11468,
        1.10251,
        1.07774,
        1.04304,
        1.0466,
        1.02019,
        1.01807,
        1.00964,
        0.966551,
        0.890147,
        0.807216,
        0.760797,
        0.754011,
        0.760683,
        0.781758,
        0.794403,
        0.803907,
        0.822617,
        0.838601,
        0.865256,
        0.881674,
        0.882708,
        0.881459,
        0.87938,
        0.868435,
        0.852297,
        0.855946,
        0.862431,
        0.853396,
        0.870885,
        0.876682,
        0.865127,
        0.858825,
        0.842422,
        0.85138,
        0.850878,
        0.8544,
        0.849986,
        0.848464,
        0.850653,
        0.852747,
        0.853848,
        0.858612,
        0.856046,
        0.847097,
        0.836817,
        0.843331,
        0.855106,
        0.85765,
        0.850197,
        0.844878,
        0.853754,
        0.848721,
        0.851026,
        0.841969,
        0.832794,
        0.834465,
        0.84051,
        0.840287,
        0.847284,
        0.848774,
        0.848412,
        0.842745,
        0.839262,
        0.83981,
        0.839859,
        0.841481,
        0.824989,
        0.845797,
        0.85181,
        0.855389,
        0.858946,
        0.848884,
        0.825872,
        0.838569,
        0.864101,
        0.852954,
        0.848049,
        0.855495,
        0.855585,
        0.849986,
        0.855643,
        0.856577,
        0.869226,
        0.86179,
        0.855452,
        0.861624,
        0.868344,
        0.871878,
        0.878514,
        0.880872,
        0.876391,
        0.872452,
        0.866504,
        0.860416,
        0.85782,
        0.856254,
        0.849085,
        0.837755,
        0.840276,
        0.855051,
        0.837784,
        0.828726,
        0.83715,
        0.853211,
        0.86031,
        0.836957,
        0.825157,
        0.834249,
        0.842519,
        0.853479,
        0.851026,
        0.832397,
        0.822857,
        0.853021,
        0.878572,
        0.86521,
        0.85549,
        0.847254,
        0.847773,
        0.852428,
        0.849797,
        0.846035,
        0.854637,
        0.857109,
        0.872632,
        0.869536,
        0.887281,
        0.924101,
        0.956216,
        1.03278,
        1.0999,
        1.17079,
        1.26086,
        1.35766,
        1.41826,
        1.4502,
        1.49122,
        1.5443,
        1.67494,
        1.84809,
        1.95636,
        2.04127,
        2.11849,
        2.17319,
        2.18687,
        2.13759,
        1.86763,
        1.30633,
        0.716962,
        0.337895,
        0.204522,
        0.258002,
        0.416864,
        0.588896,
        0.676975,
        0.705922,
        0.782872,
        0.893439,
        0.993652,
        1.05421,
        1.0796,
        1.09035,
        1.0673,
        1.03639,
        1.01505,
        1.01948,
        1.00072,
        0.966894,
        0.964754,
        0.82468,
        0.807235,
        0.823809,
        0.836755,
        0.812525,
        0.853462,
        0.861171,
        0.842955,
        0.869996,
        0.890843,
        0.88146,
        0.858688,
        0.856648,
        0.892549,
        0.889267,
        0.87637,
        0.878238,
        0.880706,
        0.875325,
        0.864297,
        0.861235,
        0.880882,
        0.85897,
        0.868981,
        0.862856,
        0.858037,
        0.857878,
        0.856095,
        0.848079,
        0.838519,
        0.838298,
        0.845969,
        0.847892,
        0.854202,
        0.853618,
        0.849756,
        0.852146,
        0.854045,
        0.858396,
        0.868207,
        0.870842,
        0.870991,
        0.871447,
        0.851711,
        0.854451,
        0.860211,
        0.859402,
        0.869395,
        0.87182,
        0.865291,
        0.859767,
        0.856181,
        0.860855,
        0.863999,
        0.865387,
        0.858903,
        0.865386,
        0.863463,
        0.865983,
        0.867867,
        0.867481,
        0.871303,
        0.878839,
        0.872027,
        0.861652,
        0.860976,
        0.861184,
        0.862436,
        0.87035,
        0.879619,
        0.877219,
        0.869022,
        0.867042,
        0.868629,
        0.869226,
        0.868739,
        0.872412,
        0.879633,
        0.884808,
        0.8872,
        0.888988,
        0.881013,
        0.876669,
        0.877257,
        0.884116,
        0.895207,
        0.893227,
        0.879518,
        0.882874,
        0.893863,
        0.890688,
        0.884372,
        0.883888,
        0.885882,
        0.881185,
        0.87923,
        0.878468,
        0.870632,
        0.863789,
        0.861528,
        0.856284,
        0.849624,
        0.850588,
        0.861474,
        0.870329,
        0.867771,
        0.876482,
        0.890231,
        0.888309,
        0.87325,
        0.868941,
        0.866214,
        0.866695,
        0.852881,
        0.826122,
        0.798011,
        0.799195,
        0.823253,
        0.843746,
        0.856691,
        0.855648,
        0.866215,
        0.877224,
        0.87496,
        0.873866,
        0.877392,
        0.886103,
        0.901902,
        0.916032,
        0.950102,
        0.992857,
        1.03054,
        1.0613,
        1.08915,
        1.11327,
        1.12737,
        1.14127,
        1.16066,
        1.19241,
        1.2065,
        1.20773,
        1.18247,
        1.14069,
        1.11852,
        1.1232,
        1.11007,
        1.09253,
        1.05372,
        0.991105,
        0.915035,
        0.837987,
        0.776926,
        0.753591,
        0.765704,
        0.784183,
        0.810466,
        0.831379,
        0.857382,
        0.892289,
        0.923891,
        0.942473,
        0.953341,
        0.956815,
        0.950401,
        0.941356,
        0.931348,
        0.928034,
        0.933839,
        0.938843,
        0.932385,
        0.922187,
        0.928239,
        0.928351,
        0.927926,
        0.923304,
        0.919054,
        0.916621,
        0.90383,
        0.904096,
        0.905711,
        0.918868,
        0.923958,
        0.922111,
        0.914452,
        0.907751,
        0.907654,
        0.914876,
        0.904062,
        0.904355,
        0.902453,
        0.891195,
        0.88735,
        0.898214,
        0.896823,
        0.884583,
        0.879757,
        0.878236,
        0.882301,
        0.881265,
        0.882463,
        0.877007,
        0.855773,
        0.856632,
        0.869675,
        0.859343,
        0.859348,
        0.888163,
        0.905566,
        0.875652,
        0.820743,
        0.792663,
        0.763709,
        0.715682,
        0.721933,
        0.747314,
        0.719522,
        0.624441,
        0.609231,
        0.685342,
        0.762642,
        0.770594,
        0.73944,
        0.746724,
        0.764999,
        0.807382,
        0.8514,
        0.864641,
        0.853598,
        0.860117,
        0.881033,
        0.899183,
        0.906964,
        0.910574,
        0.914344,
        0.912117,
        0.912209,
        0.903485,
        0.910364,
        0.91547,
        0.91359,
        0.90806,
        0.894787,
        0.888883,
        0.88128,
        0.862681,
        0.872454,
        0.876086,
        0.883118,
        0.886356,
        0.895891,
        0.901194,
        0.919094,
        0.854451,
        0.759935,
        0.795587,
        0.868545,
        0.890288,
        0.898343,
        0.906766,
        0.900562,
        0.894728,
        0.907264,
        0.898817,
        0.889556,
        0.897338,
        0.904157,
        0.898845,
        0.886022,
        0.890335,
        0.891785,
        0.893295,
        0.883677,
        0.874791,
        0.874,
        0.871794,
        0.876786,
        0.883542,
        0.87083,
        0.8779,
        0.885443,
        0.881995,
        0.884258,
        0.886889,
        0.883417,
        0.885524,
        0.895093,
        0.887559,
        0.894515,
        0.887233,
        0.897841,
        0.906603,
        0.908976,
        0.899798,
        0.894378,
        0.888565,
        0.883999,
        0.885183,
        0.887587,
        0.882695,
        0.872955,
        0.869133,
        0.869058,
        0.876287,
        0.881315,
        0.871588,
        0.872519,
        0.87378,
        0.871544,
        0.867178,
        0.868186,
        0.875,
        0.872389,
        0.868682,
        0.874737,
        0.869539,
        0.875983,
        0.892103,
        0.896972,
        0.877248,
        0.887746,
        0.890527,
        0.859831,
        0.843654,
        0.832959,
        0.855934,
        0.926155,
        0.777714,
        0.782117,
        0.796133,
        0.861573,
        0.911184,
        0.982342,
        1.05025,
        1.13629,
        1.22779,
        1.32166,
        1.43173,
        1.54901,
        1.61988,
        1.67321,
        1.76075,
        1.88342,
        2.0511,
        2.22817,
        2.39449,
        2.5294,
        2.61915,
        2.69658,
        2.75199,
        2.57258,
        2.06555,
        1.37041,
        0.749202,
        0.365505,
        0.226951,
        0.275212,
        0.470616,
        0.658665,
        0.765007,
        0.871525,
        0.989113,
        1.12033,
        1.24573,
        1.33428,
        1.37071,
        1.38957,
        1.37493,
        1.34342,
        1.30511,
        1.24473,
        1.18597,
        1.14932,
        1.12976,
        1.1244,
        1.10583,
        1.08371,
        1.08117,
        1.08311,
        1.08267,
        1.08674,
        1.08355,
        1.05129,
        0.95664,
        0.861529,
        0.854962,
        0.883299,
        0.89466,
        0.911378,
        0.919199,
        0.91637,
        0.917233,
        0.918345,
        0.927621,
        0.931695,
        0.916621,
        0.901951,
        0.913444,
        0.924567,
        0.927506,
        0.923923,
        0.919888,
        0.91927,
        0.917688,
        0.923612,
        0.922337,
        0.921035,
        0.925316,
        0.926474,
        0.925726,
        0.927146,
        0.925468,
        0.92218,
        0.918937,
        0.914709,
        0.909018,
        0.906102,
        0.909069,
        0.914475,
        0.916484,
        0.913901,
        0.911132,
        0.916883,
        0.921542,
        0.920359,
        0.917874,
        0.922862,
        0.925547,
        0.920442,
        0.915964,
        0.913027,
        0.915666,
        0.91495,
        0.91562,
        0.915925,
        0.91851,
        0.922413,
        0.922396,
        0.914909,
        0.905311,
        0.902614,
        0.915504,
        0.920948,
        0.919525,
        0.919976,
        0.926188,
        0.933705,
        0.93668,
        0.93502,
        0.927205,
        0.923952,
        0.923032,
        0.918111,
        0.927767,
        0.942755,
        0.950953,
        0.950587,
        0.94425,
        0.929794,
        0.924682,
        0.931279,
        0.936455,
        0.933853,
        0.924536,
        0.910668,
        0.904067,
        0.919384,
        0.947625,
        0.983571,
        1.03774,
        1.08821,
        1.13432,
        1.16884,
        1.19122,
        1.2058,
        1.22111,
        1.24894,
        1.2816,
        1.27887,
        1.26189,
        1.22732,
        1.18883,
        1.16227,
        1.14941,
        1.1333,
        1.09097,
        1.02463,
        0.941772,
        0.850373,
        0.783306,
        0.747793,
        0.742369,
        0.761728,
        0.794812,
        0.827291,
        0.853946,
        0.888212,
        0.914187,
        0.934413,
        0.949529,
        0.953095,
        0.951102,
        0.94913,
        0.945056,
        0.942549,
        0.955826,
        0.964141,
        0.950933,
        0.930874,
        0.915907,
        0.91368,
        0.922906,
        0.935139,
        0.940698,
        0.93397,
        0.921535,
        0.925443,
        0.921082,
        0.9152,
        0.911571,
        0.91359,
        0.918297,
        0.919625,
        0.922912,
        0.929993,
        0.928418,
        0.916391,
        0.917478,
        0.926182,
        0.935905,
        0.940799,
        0.934387,
        0.918054,
        0.911801,
        0.909328,
        0.917924,
        0.9271,
        0.927049,
        0.916514,
        0.91,
        0.918984,
        0.935477,
        0.944048,
        0.934615,
        0.92865,
        0.919871,
        0.91894,
        0.928018,
        0.935657,
        0.932244,
        0.922908,
        0.922837,
        0.930404,
        0.92538,
        0.921046,
        0.918917,
        0.917041,
        0.923464,
        0.939806,
        0.954273,
        0.955889,
        0.955975,
        0.955305,
        0.960264,
        0.96022,
        0.965301,
        0.965546,
        0.95735,
        0.949122,
        0.948758,
        0.951337,
        0.95201,
        0.943811,
        0.930137,
        0.924995,
        0.925672,
        0.922161,
        0.912201,
        0.902706,
        0.899925,
        0.899451,
        0.892111,
        0.900177,
        0.912349,
        0.914428,
        0.914742,
        0.918599,
        0.92592,
        0.932718,
        0.933524,
        0.930948,
        0.932337,
        0.92294,
        0.918218,
        0.91585,
        0.912656,
        0.915528,
        0.923675,
        0.923493,
        0.915153,
        0.917022,
        0.925738,
        0.930773,
        0.930748,
        0.924612,
        0.916395,
        0.918038,
        0.928876,
        0.928719,
        0.919262,
        0.918668,
        0.926085,
        0.923071,
        0.923182,
        0.923304,
        0.920605,
        0.922613,
        0.932903,
        0.936693,
        0.935336,
        0.929071,
        0.927429,
        0.922163,
        0.91319,
        0.916462,
        0.927733,
        0.933061,
        0.930779,
        0.929836,
        0.93663,
        0.928271,
        0.921522,
        0.923192,
        0.928901,
        0.928424,
        0.925569,
        0.929956,
        0.937193,
        0.935696,
        0.927114,
        0.919441,
        0.920882,
        0.920648,
        0.915036,
        0.916026,
        0.927076,
        0.933923,
        0.927665,
        0.931035,
        0.931005,
        0.925739,
        0.92627,
        0.940639,
        0.949943,
        0.940807,
        0.921925,
        0.912371,
        0.917839,
        0.924153,
        0.921796,
        0.928117,
        0.927106,
        0.919219,
        0.920166,
        0.928335,
        0.933216,
        0.933529,
        0.930829,
        0.929307,
        0.930617,
        0.925002,
        0.91948,
        0.921105,
        0.923741,
        0.924046,
        0.92412,
        0.925034,
        0.927103,
        0.92836,
        0.926315,
        0.922365,
        0.928214,
        0.937933,
        0.940497,
        0.933501,
        0.92296,
        0.916419,
        0.92138,
        0.944759,
        0.940161,
        0.931158,
        0.930506,
        0.9342,
        0.936563,
        0.935221,
        0.929806,
        0.92312,
        0.926397,
        0.926107,
        0.930057,
        0.932918,
        0.927212,
        0.919902,
        0.923587,
        0.934778,
        0.939396,
        0.937238,
        0.934048,
        0.927411,
        0.928788,
        0.93641,
        0.941525,
        0.931338,
        0.916844,
        0.912695,
        0.917398,
        0.92235,
        0.929096,
        0.934624,
        0.929093,
        0.917939,
        0.914566,
        0.922515,
        0.931492,
        0.933079,
        0.93185,
        0.936655,
        0.945156,
        0.938547,
        0.938925,
        0.93787,
        0.938966,
        0.93606,
        0.923964,
        0.919155,
        0.925722,
        0.926774,
        0.926575,
        0.930172,
        0.937611,
        0.937135,
        0.934499,
        0.93812,
        0.937488,
        0.944964,
        0.953878,
        0.958602,
        0.966288,
        0.979903,
        0.997342,
        1.016,
        1.04123,
        1.08313,
        1.14025,
        1.20286,
        1.29396,
        1.41191,
        1.52441,
        1.64084,
        1.74298,
        1.83465,
        1.91837,
        2.01668,
        2.1525,
        2.3278,
        2.51891,
        2.71084,
        2.86873,
        2.98642,
        3.10463,
        3.15205,
        2.95192,
        2.45339,
        1.67538,
        0.923518,
        0.515767,
        0.313899,
        0.307193,
        0.452175,
        0.669883,
        0.811762,
        0.950113,
        1.08631,
        1.22479,
        1.34789,
        1.44623,
        1.50626,
        1.5094,
        1.46719,
        1.42197,
        1.37058,
        1.29393,
        1.23289,
        1.19271,
        1.16197,
        1.13774,
        1.11715,
        1.09861,
        1.05825,
        1.0683,
        1.09659,
        1.11119,
        1.07842,
        0.738425,
        0.898202,
        0.883333,
        0.900276,
        0.912609,
        0.925936,
        0.939879,
        0.942368,
        0.93522,
        0.932789,
        0.929369,
        0.927216,
        0.93314,
        0.946929,
        0.940235,
        0.94362,
        0.970118,
        1.00976,
        1.05165,
        1.08754,
        1.12344,
        1.15426,
        1.18334,
        1.22733,
        1.24825,
        1.2636,
        1.29053,
        1.32549,
        1.34226,
        1.31307,
        1.27412,
        1.26457,
        1.26395,
        1.21833,
        1.17428,
        1.12474,
        1.05461,
        0.957993,
        0.861372,
        0.79142,
        0.751383,
        0.730033,
        0.739156,
        0.761603,
        0.786275,
        0.823603,
        0.871764,
        0.918374,
        0.941982,
        0.954671,
        0.961141,
        0.972286,
        0.97571,
        0.969557,
        0.964738,
        0.962082,
        0.967639,
        0.9595,
        0.95378,
        0.951683,
        0.9534,
        0.955836,
        0.958422,
        0.958198,
        0.954518,
        0.950469,
        0.948962,
        0.944562,
        0.94431,
        0.949217,
        0.951527,
        0.956337,
        0.959375,
        0.947277,
        0.932602,
        0.937518,
        0.929213,
        0.934361,
        0.942656,
        0.945422,
        0.944184,
        0.942395,
        0.941164,
        0.941488,
        0.943344,
        0.946441,
        0.943108,
        0.954551,
        0.957087,
        0.948088,
        0.939573,
        0.938985,
        0.943389,
        0.944603,
        0.945012,
        0.943164,
        0.938715,
        0.930079,
        0.933576,
        0.940039,
        0.94435,
        0.951474,
        0.959589,
        0.963258,
        0.964825,
        0.975033,
        0.983466,
        0.980701,
        0.99027,
        0.990427,
        0.993235,
        1.00234,
        1.00842,
        1.0089,
        1.00276,
        0.992863,
        0.99104,
        0.983603,
        0.965127,
        0.964028,
        0.968219,
        0.970503,
        0.962596,
        0.957366,
        0.96649,
        0.985792,
        1.01655,
        1.01393,
        0.951907,
        0.972904,
        1.06119,
        1.11079,
        1.11809,
        1.11776,
        1.11562,
        1.11332,
        1.10418,
        1.09162,
        1.07543,
        1.06641,
        1.04803,
        1.03568,
        1.01872,
        1.00007,
        0.990158,
        0.978008,
        0.969866,
        0.968024,
        0.969586,
        0.971394,
        0.956655,
        0.941298,
        1.00676,
        1.03271,
        0.984796,
        0.929217,
        0.941667,
        0.94832,
        0.929296,
        0.928869,
        0.943201,
        0.942579,
        0.932795,
        0.942795,
        0.949003,
        0.946711,
        0.939712,
        0.926067,
        0.92475,
        0.927077,
        0.928138,
        0.927391,
        0.92634,
        0.924325,
        0.932231,
        0.938958,
        0.939472,
        0.935951,
        0.939522,
        0.94383,
        0.934209,
        0.930439,
        0.935383,
        0.93136,
        0.92635,
        0.929433,
        0.941392,
        0.948326,
        0.943557,
        0.934797,
        0.926634,
        0.926076,
        0.938523,
        0.927648,
        0.928683,
        0.931804,
        0.942808,
        0.951163,
        0.950155,
        0.943413,
        0.945582,
        0.957668,
        0.946714,
        0.916911,
        0.928182,
        0.973644,
        0.997568,
        0.969932,
        0.973331,
        0.97834,
        0.947188,
        0.933735,
        0.929504,
        0.925971,
        0.929864,
        0.908537,
        0.914117,
        0.932181,
        0.932949,
        0.92711,
        0.937714,
        0.946509,
        0.941698,
        0.911685,
        0.890811,
        0.817235,
        0.935997,
        0.959457,
        1.02469,
        1.0258,
        0.973355,
        0.92488,
        0.919189,
        0.941488,
        0.945034,
        0.918829,
        0.916678,
        0.923623,
        0.932703,
        0.936309,
        0.926118,
        0.923633,
        0.911687,
        0.916419,
        0.930578,
        0.936816,
        0.948091,
        0.952398,
        0.937234,
        0.921554,
        0.908754,
        0.910403,
        0.920683,
        0.929445,
        0.93332,
        0.930832,
        0.937892,
        0.946761,
        0.942805,
        0.937464,
        0.93776,
        0.940685,
        0.94494,
        0.943061,
        0.940739,
        0.941361,
        0.944397,
        0.930927,
        0.920475,
        0.940008,
        0.944203,
        0.948494,
        0.966122,
        0.948471,
        0.931822,
        0.92126,
        0.926095,
        0.935219,
        0.940832,
        0.936462,
        0.928586,
        0.927506,
        0.934188,
        0.936827,
        0.9344,
        0.939626,
        0.945868,
        0.946467,
        0.93909,
        0.931858,
        0.933344,
        0.923508,
        0.925122,
        0.934499,
        0.943348,
        0.929045,
        0.911564,
        0.906966,
        0.912843,
        0.919278,
        0.930082,
        0.947906,
        0.95128,
        0.923832,
        0.915546,
        0.913062,
        0.920114,
        0.929013,
        0.937236,
        0.947156,
        0.946969,
        0.936724,
        0.931616,
        0.938703,
        0.941822,
        0.937012,
        0.933207,
        0.934159,
        0.940266,
        0.941279,
        0.933578,
        0.935737,
        0.950392,
        0.935511,
        0.921435,
        0.922951,
        0.93058,
        0.968,
        0.954397,
        0.952235,
        0.940629,
        0.935917,
        0.932522,
        0.936792,
        0.934987,
        0.938182,
        0.943407,
        0.938033,
        0.938345,
        0.943342,
        0.933217,
        0.932513,
        0.957139,
        0.972461,
        0.979946,
        0.979006,
        0.973793,
        0.965702,
        0.970286,
        0.984556,
        0.998104,
        0.994466,
        0.984858,
        0.979925,
        0.971747,
        0.980048,
        0.99401,
        0.982864,
        0.951179,
        0.949813,
        0.963672,
        0.970239,
        0.976222,
        0.969131,
        0.967566,
        0.980582,
        0.994313,
        0.988864,
        0.988414,
        0.996512,
        1.01157,
        1.03391,
        1.06129,
        1.12546,
        1.20568,
        1.29973,
        1.40202,
        1.51092,
        1.62246,
        1.73761,
        1.84489,
        1.93581,
        2.02757,
        2.14817,
        2.32094,
        2.56161,
        2.74729,
        2.94931,
        3.1521,
        3.34323,
        3.47044,
        3.43772,
        3.1182,
        2.4254,
        1.47766,
        0.712114,
        0.328535,
        0.254717,
        0.378079,
        0.568664,
        0.740418,
        0.863727,
        0.963806,
        1.0909,
        1.25942,
        1.38325,
        1.45546,
        1.47921,
        1.47772,
        1.47726,
        1.44086,
        1.37538,
        1.31431,
        1.26646,
        1.22908,
        1.16183,
        1.16358,
        1.13056,
        1.0853,
        1.08097,
        0.97597,
        0.965999,
        0.941133,
        0.902083,
        0.875746,
        0.88765,
        0.910404,
        0.910716,
        0.91738,
        0.900703,
        0.897321,
        0.905484,
        0.922407,
        0.940597,
        0.951344,
        0.958858,
        0.965787,
        0.949189,
        0.933644,
        0.930378,
        0.941957,
        0.933847,
        0.922825,
        0.924123,
        0.929364,
        0.929604,
        0.931461,
        0.935988,
        0.952225,
        0.955805,
        0.953194,
        0.961988,
        0.973151,
        0.974747,
        0.975349,
        0.984204,
        0.992675,
        0.996058,
        0.985766,
        0.976137,
        0.972462,
        0.971709,
        0.968545,
        0.979491,
        0.977294,
        0.951104,
        0.928447,
        0.923462,
        0.909819,
        0.886228,
        0.872964,
        0.870302,
        0.880977,
        0.906198,
        0.927548,
        0.943882,
        0.952279,
        0.918979,
        0.920452,
        0.92663,
        0.936813,
        0.926788,
        0.923169,
        0.942102,
        0.947547,
        0.940112,
        0.937291,
        0.943065,
        0.948615,
        0.943437,
        0.930188,
        0.921216,
        0.917045,
        0.927532,
        0.915821,
        0.910498,
        0.920288,
        0.929331,
        0.927708,
        0.929497,
        0.934569,
        0.931054,
        0.927507,
        0.928251,
        0.928186,
        0.912007,
        0.907062,
        0.911075,
        0.926033,
        0.937885,
        0.93651,
        0.925537,
        0.923297,
        0.939143,
        0.934019,
        0.943151,
        0.952356,
        0.942366,
        0.939822,
        0.941484,
        0.941625,
        0.938721,
        0.933977,
        0.932895,
        0.942809,
        0.952593,
        0.922471,
        0.919309,
        0.929466,
        0.930595,
        0.921852,
        0.930776,
        0.94269,
        0.938992,
        0.931474,
        0.920704,
        0.930125,
        0.932868,
        0.94893,
        0.950622,
        0.936261,
        0.931755,
        0.935107,
        0.940277,
        0.942506,
        0.940794,
        0.946499,
        0.943092,
        0.930704,
        0.929274,
        0.935405,
        0.945765,
        0.93765,
        0.932611,
        0.933675,
        0.930394,
        0.927219,
        0.929209,
        0.943805,
        0.942552,
        0.93662,
        0.925601,
        0.927877,
        0.941769,
        0.944954,
        0.937089,
        0.92994,
        0.924941,
        0.92302,
        0.929999,
        0.927116,
        0.913851,
        0.938748,
        0.944784,
        0.937649,
        0.935106,
        0.933246,
        0.930579,
        0.933334,
        0.935034,
        0.942007,
        0.918153,
        0.918815,
        0.918953,
        0.919483,
        0.93802,
        0.953898,
        0.941845,
        0.924863,
        0.927617,
        0.925395,
        0.945426,
        0.965582,
        0.941066,
        0.922811,
        0.919324,
        0.919201,
        0.915091,
        0.913363,
        0.923947,
        0.93796,
        0.939695,
        0.946184,
        0.947283,
        0.94499,
        0.937661,
        0.935313,
        0.942416,
        0.933253,
        0.925387,
        0.934644,
        0.941866,
        0.934035,
        0.936553,
        0.932757,
        0.938632,
        0.919222,
        0.931975,
        0.955246,
        0.948093,
        0.937054,
        0.94498,
        0.9556,
        0.950636,
        0.941669,
        0.941114,
        0.935323,
        0.951517,
        0.948011,
        0.933479,
        0.925476,
        0.938016,
        0.954337,
        0.959854,
        0.953616,
        0.930875,
        0.923305,
        0.930396,
        0.929956,
        0.930172,
        0.9405,
        0.941958,
        0.935953,
        0.948961,
        0.961287,
        0.955442,
        0.9584,
        0.939878,
        0.922973,
        0.919723,
        0.948988,
        0.941235,
        0.942142,
        0.941614,
        0.933832,
        0.931176,
        0.935056,
        0.930435,
        0.933528,
        0.943498,
        0.937977,
        0.939691,
        0.938579,
        0.939681,
        0.936307,
        0.927521,
        0.921661,
        0.928581,
        0.937893,
        0.937359,
        0.919398,
        0.908868,
        0.918393,
        0.926141,
        0.930783,
        0.933212,
        0.935134,
        0.935195,
        0.925432,
        0.916863,
        0.922251,
        0.939723,
        0.943049,
        0.925288,
        0.924582,
        0.905053,
        0.881998,
        0.883027,
        0.908832,
        0.925207,
        0.918357,
        0.9146,
        0.926608,
        0.924599,
        0.899124,
        0.906015,
        0.924739,
        0.923333,
        0.903718,
        0.890056,
        0.881447,
        0.880488,
        0.893327,
        0.887046,
        0.8348,
        0.82386,
        0.859882,
        0.911417,
        0.708576,
        0.697295,
        0.752956,
        0.798195,
        0.837855,
        0.843468,
        0.855878,
        0.867519,
        0.86745,
        0.864246,
        0.880771,
        0.911448,
        0.930302,
        0.937053,
        0.930603,
        0.935064,
        0.95105,
        0.978626,
        1.02176,
        1.06931,
        1.11166,
        1.14843,
        1.17552,
        1.20296,
        1.22998,
        1.25767,
        1.29775,
        1.33512,
        1.35834,
        1.36269,
        1.33282,
        1.28989,
        1.25301,
        1.2573,
        1.21666,
        1.14277,
        1.06152,
        0.953098,
        0.794227,
        0.696999,
        0.676738,
        0.679792,
        0.696737,
        0.736331,
        0.771676,
        0.807612,
        0.844617,
        0.883566,
        0.917763,
        0.939796,
        0.960207,
        0.964625,
        0.962618,
        0.950716,
        0.934801,
        0.946093,
        0.943684,
        0.939765,
        0.937527,
        0.934183,
        0.918955,
        0.905591,
        0.900905,
        0.904309,
        0.90174,
        0.899997,
        0.895718,
        0.899868,
        0.911061,
        0.886473,
        0.902533,
        0.903901,
        0.925711,
        0.968143,
        1.01667,
        1.04062,
        1.039,
        1.06258,
        1.09959,
        1.18,
        1.27701,
        1.395,
        1.51257,
        1.62695,
        1.73877,
        1.84438,
        1.93811,
        2.03216,
        2.1494,
        2.30055,
        2.51027,
        2.75403,
        2.94904,
        3.11315,
        3.28035,
        3.48244,
        3.55285,
        3.39391,
        2.92417,
        2.12782,
        1.21492,
        0.543196,
        0.271509,
        0.305985,
        0.528018,
        0.786783,
        0.964406,
        1.09445,
        1.21291,
        1.35137,
        1.50796,
        1.62502,
        1.66699,
        1.64527,
        1.59064,
        1.48573,
        1.37604,
        1.3026,
        1.2629,
        1.24196,
        1.21106,
        1.17758,
        1.15614,
        1.13161,
        1.08645,
        1.01882,
        0.940794,
        0.891986,
        0.813313,
        0.880361,
        0.930948,
        0.931019,
        0.924778,
        0.948648,
        0.960647,
        0.969038,
        0.963011,
        0.95106,
        0.95356,
        0.964906,
        0.955299,
        0.94763,
        0.946167,
        0.946541,
        0.943423,
        0.942554,
        0.948167,
        0.94613,
        0.949028,
        0.932433,
        0.936379,
        0.938743,
        0.94609,
        0.961059,
        0.958754,
        0.952894,
        0.946703,
        0.940521,
        0.939985,
        0.94606,
        0.945216,
        0.941377,
        0.934881,
        0.940094,
        0.948359,
        0.94907,
        0.954209,
        0.963601,
        0.948364,
        0.940946,
        0.952932,
        0.965559,
        0.95754,
        0.966562,
        0.969714,
        0.955221,
        0.947735,
        0.952317,
        0.949151,
        0.939019,
        0.943072,
        0.946212,
        0.954302,
        0.962145,
        0.961379,
        0.954491,
        0.953009,
        0.955657,
        0.956243,
        0.959005,
        0.950983,
        0.940402,
        0.927083,
        0.933188,
        0.937257,
        0.958953,
        0.946985,
        0.945741,
        0.963212,
        0.966735,
        0.959924,
        0.957447,
        0.95725,
        0.956705,
        0.954054,
        0.943726,
        0.933296,
        0.936399,
        0.935405,
        0.934797,
        0.941372,
        0.94331,
        0.947578,
        0.947643,
        0.954857,
        0.963001,
        0.967108,
        0.959952,
        0.950892,
        0.958991,
        0.974219,
        0.960231,
        0.952172,
        0.948111,
        0.933231,
        0.941137,
        0.959565,
        0.959262,
        0.952009,
        0.960351,
        0.969201,
        0.957472,
        0.945861,
        0.947275,
        0.947845,
        0.938349,
        0.937281,
        0.957428,
        0.969658,
        0.960021,
        0.941457,
        0.933782,
        0.936493,
        0.938269,
        0.939768,
        0.940242,
        0.932278,
        0.910746,
        0.925578,
        0.952878,
        0.946467,
        0.922577,
        0.91361,
        0.921691,
        0.926069,
        0.924804,
        0.920727,
        0.913054,
        0.919543,
        0.937017,
        0.923759,
        0.917399,
        0.92351,
        0.928082,
        0.934163,
        0.931705,
        0.933452,
        0.937085,
        0.934514,
        0.935832,
        0.946435,
        0.943106,
        0.937146,
        0.93403,
        0.943958,
        0.956268,
        0.943708,
        0.930951,
        0.928684,
        0.919618,
        0.927114,
        0.953399,
        0.981962,
        0.987014,
        0.934906,
        0.932866,
        0.920408,
        0.926501,
        0.937798,
        0.954437,
        0.961315,
        0.946008,
        0.937971,
        0.935602,
        0.937489,
        0.945791,
        0.951552,
        0.943958,
        0.947542,
        0.956802,
        0.954476,
        0.944056,
        0.950664,
        0.962051,
        0.960864,
        0.947392,
        0.946225,
        0.955,
        0.958131,
        0.946647,
        0.937026,
        0.949957,
        0.976613,
        0.952679,
        0.932555,
        0.934004,
        0.940683,
        0.935067,
        0.930541,
        0.940866,
        0.938782,
        0.915849,
        0.912872,
        0.928651,
        0.928491,
        0.927555,
        0.927794,
        0.939137,
        0.94651,
        0.946538,
        0.94061,
        0.927696,
        0.916411,
        0.919803,
        0.936581,
        0.936515,
        0.941894,
        0.959339,
        0.926518,
        0.926149,
        0.939855,
        0.947377,
        0.951129,
        0.952843,
        0.946025,
        0.942718,
        0.943073,
        0.926418,
        0.912031,
        0.909726,
        0.918045,
        0.915045,
        0.932067,
        0.923944,
        0.902914,
        0.92054,
        0.937349,
        0.942593,
        0.935907,
        0.933985,
        0.946186,
        0.95563,
        0.950944,
        0.940021,
        0.922422,
        0.919758,
        0.93546,
        0.93673,
        0.924307,
        0.921665,
        0.925812,
        0.927895,
        0.929834,
        0.942985,
        0.945413,
        0.932801,
        0.933668,
        0.948761,
        0.946996,
        0.927096,
        0.920872,
        0.922072,
        0.935371,
        0.988943,
        1.01688,
        1.06349,
        1.10195,
        1.1131,
        1.12828,
        1.1965,
        1.24449,
        1.23305,
        1.2502,
        1.26964,
        1.25745,
        1.22658,
        1.18358,
        1.16761,
        1.17607,
        1.12624,
        0.977168,
        0.823063,
        0.694818,
        0.629324,
        0.619377,
        0.636889,
        0.666948,
        0.701568,
        0.742086,
        0.791876,
        0.840515,
        0.860433,
        0.905225,
        0.945339,
        0.969293,
        0.988341,
        0.991664,
        0.976856,
        0.967071,
        0.972485,
        0.972965,
        0.958973,
        0.955625,
        0.968805,
        0.953023,
        0.939986,
        0.943048,
        0.956404,
        0.949515,
        0.949941,
        0.961555,
        0.964469,
        0.954782,
        0.940352,
        0.935665,
        0.939346,
        0.941987,
        0.944936,
        0.94909,
        0.945428,
        0.939672,
        0.944904,
        0.988767,
        0.990733,
        0.956225,
        0.944591,
        0.935957,
        0.929055,
        0.932146,
        0.950991,
        0.964466,
        0.957402,
        0.941295,
        0.937688,
        0.948781,
        0.955419,
        0.97385,
        0.985685,
        0.934107,
        0.920188,
        0.947832,
        0.97975,
        1.00152,
        1.00594,
        0.996126,
        0.979862,
        0.964939,
        0.96228,
        0.973915,
        0.977281,
        0.953838,
        0.930768,
        0.901045,
        0.876539,
        0.882225,
        0.876877,
        0.85695,
        0.87149,
        0.895747,
        0.909216,
        0.913211,
        0.916691,
        0.94212,
        0.967528,
        0.958361,
        0.944127,
        0.948695,
        0.937885,
        0.930274,
        0.940971,
        0.958071,
        0.939288,
        0.930381,
        0.937665,
        0.937167,
        0.919782,
        0.899071,
        0.905644,
        0.943608,
        0.967712,
        0.962245,
        0.969021,
        0.982646,
        0.988674,
        0.995985,
        1.00491,
        1.01184,
        1.04151,
        1.08186,
        1.12547,
        1.17536,
        1.24569,
        1.35945,
        1.52858,
        1.67755,
        1.78127,
        1.90457,
        2.03387,
        2.108,
        2.19997,
        2.36686,
        2.58643,
        2.80252,
        3.03733,
        3.26952,
        3.42441,
        3.50635,
        3.54585,
        3.39147,
        2.88297,
        2.07337,
        1.22058,
        0.620978,
        0.3951,
        0.460018,
        0.675821,
        0.872101,
        1.01793,
        1.13797,
        1.29027,
        1.46975,
        1.61417,
        1.7061,
        1.74562,
        1.73393,
        1.68229,
        1.61618,
        1.54473,
        1.47203,
        1.40348,
        1.33038,
        1.27505,
        1.22904,
        1.19813,
        1.14616,
        1.1006,
        1.07038,
        1.03765,
        1.03316,
        0.854215,
        0.903036,
        0.915461,
        0.939677,
        0.972372,
        1.00124,
        0.987269,
        0.992156,
        0.954081,
        0.926715,
        0.950775,
        0.979592,
        0.968859,
        0.934627,
        0.927631,
        0.96154,
        0.978992,
        0.952526,
        0.926856,
        0.9227,
        0.935868,
        0.961613,
        0.961227,
        0.951319,
        0.949112,
        0.937914,
        0.932041,
        0.939921,
        0.939258,
        0.935175,
        0.947373,
        0.954055,
        0.954767,
        0.955748,
        0.93876,
        0.915045,
        0.914167,
        0.903292,
        0.910283,
        0.943997,
        0.994089,
        0.952099,
        0.934466,
        0.919672,
        0.925782,
        0.941649,
        0.945733,
        0.931039,
        0.925485,
        0.933122,
        0.937059,
        0.940626,
        0.947335,
        0.958824,
        0.946535,
        0.946678,
        0.947857,
        0.942917,
        0.947114,
        0.949242,
        0.955503,
        0.94165,
        0.933463,
        0.928548,
        0.917164,
        0.918217,
        0.922585,
        0.92329,
        0.926663,
        0.930609,
        0.93707,
        0.932538,
        0.924943,
        0.920812,
        0.936628,
        0.950299,
        0.934406,
        0.935532,
        0.923173,
        0.926191,
        0.935479,
        0.945221,
        0.937687,
        0.923633,
        0.926022,
        0.934461,
        0.931272,
        0.94307,
        0.944684,
        0.928339,
        0.922775,
        0.944206,
        0.941422,
        0.918875,
        0.926334,
        0.93704,
        0.941426,
        0.947508,
        0.945791,
        0.935349,
        0.930201,
        0.932902,
        0.934876,
        0.936407,
        0.925821,
        0.934969,
        0.946892,
        0.932629,
        0.924022,
        0.924641,
        0.930019,
        0.942522,
        0.938125,
        0.932941,
        0.939076,
        0.948671,
        0.952838,
        0.944394,
        0.940467,
        0.942147,
        0.940749,
        0.950505,
        0.945709,
        0.93355,
        0.929694,
        0.929671,
        0.934545,
        0.94055,
        0.939299,
        0.945325,
        0.94996,
        0.944753,
        0.943067,
        0.931202,
        0.936088,
        0.928932,
        0.938346,
        0.939183,
        0.935146,
        0.944744,
        0.956838,
        0.952832,
        0.943952,
        0.941638,
        0.945458,
        0.945853,
        0.945984,
        0.934648,
        0.939878,
        0.950212,
        0.940615,
        0.947041,
        0.950466,
        0.945836,
        0.933272,
        0.93682,
        0.942118,
        0.934673,
        0.93231,
        0.929721,
        0.932889,
        0.920941,
        0.933242,
        0.947358,
        0.938204,
        0.935891,
        0.933974,
        0.942842,
        0.949536,
        0.941807,
        0.935099,
        0.944409,
        0.951794,
        0.948479,
        0.949774,
        0.956525,
        0.93739,
        0.930951,
        0.905145,
        0.902978,
        0.927768,
        0.913484,
        0.929913,
        0.946806,
        0.933136,
        0.930683,
        0.937769,
        0.940872,
        0.949708,
        0.956855,
        0.946954,
        0.942363,
        0.955899,
        0.978931,
        1.0232,
        1.07285,
        1.10535,
        1.13641,
        1.17289,
        1.19245,
        1.20673,
        1.22912,
        1.26995,
        1.31945,
        1.35984,
        1.35763,
        1.31672,
        1.28888,
        1.25278,
        1.23136,
        1.194,
        1.10528,
        0.941532,
        0.732894,
        0.57863,
        0.555284,
        0.60466,
        0.640296,
        0.674572,
        0.70949,
        0.753822,
        0.793683,
        0.830288,
        0.859581,
        0.895154,
        0.939918,
        0.957383,
        0.963256,
        0.977987,
        0.975145,
        0.968849,
        0.963025,
        0.95097,
        0.940768,
        0.938727,
        0.943427,
        0.947636,
        0.952606,
        0.944343,
        0.949409,
        0.94555,
        0.944165,
        0.942541,
        0.957084,
        0.948865,
        0.946919,
        0.947361,
        0.945582,
        0.946237,
        0.947284,
        0.941371,
        0.935714,
        0.933096,
        0.92707,
        0.928152,
        0.930524,
        0.942499,
        0.940872,
        0.932579,
        0.945596,
        0.946992,
        0.951682,
        0.970232,
        0.982903,
        0.985791,
        0.984845,
        0.991735,
        1.00355,
        1.0038,
        1.00514,
        1.00227,
        1.01402,
        0.993935,
        0.994147,
        0.97078,
        0.954468,
        0.951275,
        0.946774,
        0.924771,
        0.896472,
        0.882747,
        0.86975,
        0.862198,
        0.870267,
        0.883056,
        0.904256,
        0.917881,
        0.930194,
        0.93393,
        0.947112,
        0.970886,
        0.955784,
        0.947046,
        0.95331,
        0.947611,
        0.93956,
        0.944734,
        0.953217,
        0.946828,
        0.951862,
        0.948527,
        0.948228,
        0.952496,
        0.942137,
        0.957182,
        0.961188,
        0.945528,
        0.942801,
        0.939757,
        0.939767,
        0.945519,
        0.9482,
        0.944536,
        0.951475,
        0.952811,
        0.948525,
        0.95207,
        0.959952,
        0.958307,
        0.955303,
        0.94791,
        0.961374,
        0.963891,
        0.957416,
        0.940786,
        0.947163,
        0.943624,
        0.952862,
        0.963604,
        0.958822,
        0.956896,
        0.955296,
        0.931019,
        0.937989,
        0.962713,
        0.955447,
        0.94141,
        0.943649,
        0.963863,
        0.964276,
        0.952628,
        0.94155,
        0.948733,
        0.951232,
        0.945551,
        0.946797,
        0.963071,
        0.977138,
        0.968547,
        0.956585,
        0.940028,
        0.926262,
        0.935543,
        0.947158,
        0.944556,
        0.940179,
        0.920384,
        0.934317,
        0.934449,
        0.927276,
        0.929288,
        0.930061,
        0.940915,
        0.952128,
        0.945887,
        0.93369,
        0.920698,
        0.934141,
        0.952288,
        0.922163,
        0.904903,
        0.889556,
        0.913357,
        0.917547,
        0.933028,
        0.918904,
        0.922263,
        0.926541,
        0.943369,
        0.961413,
        0.968809,
        0.975163,
        0.988406,
        0.997477,
        1.01483,
        1.04529,
        1.0844,
        1.16144,
        1.21044,
        1.27968,
        1.38636,
        1.50882,
        1.64149,
        1.7792,
        1.90081,
        2.01071,
        2.11495,
        2.22066,
        2.3639,
        2.56712,
        2.80041,
        3.02684,
        3.24919,
        3.42614,
        3.5621,
        3.68199,
        3.66038,
        3.32103,
        2.53052,
        1.58432,
        0.818276,
        0.414807,
        0.352697,
        0.556289,
        0.855137,
        1.03706,
        1.14172,
        1.2711,
        1.45226,
        1.62292,
        1.75047,
        1.80899,
        1.79317,
        1.74493,
        1.67348,
        1.60472,
        1.53113,
        1.43238,
        1.34817,
        1.28961,
        1.25698,
        1.23464,
        1.20774,
        1.15585,
        1.07402,
        0.99588,
        1.00075,
        1.0743,
        0.911756,
        0.964817,
        0.991721,
        0.965942,
        0.964385,
        0.947447,
        0.928456,
        0.929815,
        0.929546,
        0.930641,
        0.923849,
        0.8998,
        0.918202,
        0.922983,
        0.937051,
        0.95139,
        0.952655,
        0.942835,
        0.926956,
        0.923965,
        0.941201,
        0.958469,
        0.948384,
        0.927956,
        0.925427,
        0.925144,
        0.913429,
        0.913788,
        0.938093,
        0.903779,
        0.889548,
        0.869304,
        0.850299,
        0.858826,
        0.887296,
        0.895364,
        0.897477,
        0.912634,
        0.888087,
        0.854926,
        0.843854,
        0.839178,
        0.851345,
        0.871817,
        0.852742,
        0.836484,
        0.823697,
        0.808815,
        0.798765,
        0.824366,
        0.842608,
        0.911161,
        0.980532,
        0.917564,
        0.915168,
        0.919987,
        0.895716,
        0.90437,
        0.899343,
        0.908429,
        0.931312,
        0.930904,
        0.913105,
        0.90726,
        0.907048,
        0.894752,
        0.891505,
        0.907158,
        0.911449,
        0.904718,
        0.883436,
        0.88352,
        0.920068,
        0.920013,
        0.931741,
        0.913598,
        0.859636,
        0.832404,
        0.855998,
        0.859565,
        0.861473,
        0.874775,
        0.877725,
        0.889681,
        0.869535,
        0.851062,
        0.823023,
        0.843121,
        0.855211,
        0.858656,
        0.882638,
        1.02287,
        1.01011,
        1.0714,
        1.1079,
        1.15197,
        1.19778,
        1.29318,
        1.31442,
        1.27278,
        1.25738,
        1.22585,
        1.17545,
        1.15374,
        1.09797,
        0.958279,
        0.724128,
        0.481933,
        0.80017,
        0.859355,
        0.911637,
        0.925888,
        0.950888,
        0.959039,
        0.972144,
        0.971844,
        0.958461,
        0.953373,
        0.9558,
        0.951478,
        0.942142,
        0.941822,
        0.946741,
        0.944443,
        0.958339,
        0.971112,
        0.964516,
        0.941748,
        0.956589,
        0.934158,
        0.935782,
        0.958809,
        0.965609,
        0.939934,
        0.937371,
        0.943542,
        0.93467,
        0.944802,
        0.961885,
        0.96309,
        0.947118,
        0.933101,
        0.956709,
        0.964913,
        0.955181,
        0.958982,
        0.987558,
        0.985489,
        0.965907,
        0.971922,
        0.98864,
        1.00367,
        0.991374,
        0.975466,
        0.96209,
        0.963157,
        0.958518,
        0.956724,
        0.948945,
        0.908685,
        0.861421,
        0.854321,
        0.873786,
        0.867436,
        0.84839,
        0.860825,
        0.893969,
        0.903354,
        0.916107,
        0.938792,
        0.943726,
        0.963596,
        0.966985,
        0.95116,
        0.944969,
        0.958299,
        0.95722,
        0.931688,
        0.926244,
        0.940962,
        0.941669,
        0.941274,
        0.943072,
        0.941006,
        0.939971,
        0.943176,
        0.95584,
        0.951846,
        0.942687,
        0.961442,
        0.978424,
        0.976091,
        0.975231,
        0.968363,
        0.953653,
        0.965642,
        0.96599,
        0.94647,
        0.939224,
        0.944211,
        0.934505,
        0.92163,
        0.935776,
        0.944111,
        0.95608,
        0.960012,
        0.931544,
        0.917225,
        0.948154,
        0.944855,
        0.944181,
        0.952509,
        0.938606,
        0.947972,
        0.944593,
        0.938257,
        0.941712,
        0.944859,
        0.942049,
        0.943861,
        0.947162,
        0.942429,
        0.94152,
        0.949903,
        0.957669,
        0.944697,
        0.927206,
        0.937469,
        0.927014,
        0.932914,
        0.944838,
        0.955505,
        0.941764,
        0.930649,
        0.920532,
        0.944435,
        0.960592,
        0.947737,
        0.948312,
        0.958893,
        0.959958,
        0.956542,
        0.951166,
        0.948248,
        0.939276,
        0.939537,
        0.947561,
        0.959692,
        0.952563,
        0.963521,
        0.943941,
        0.942296,
        0.932952,
        0.931783,
        0.915257,
        0.917674,
        0.937087,
        0.932738,
        0.922723,
        0.922873,
        0.925763,
        0.925371,
        0.929753,
        0.935542,
        0.932551,
        0.92778,
        0.928437,
        0.924972,
        0.915188,
        0.919633,
        0.937609,
        0.939198,
        0.939504,
        0.93816,
        0.938908,
        0.938515,
        0.942346,
        0.947177,
        0.9443,
        0.933816,
        0.922576,
        0.927547,
        0.937407,
        0.945466,
        0.949916,
        0.948057,
        0.939247,
        0.933667,
        0.937388,
        0.935876,
        0.937836,
        0.939499,
        0.942587,
        0.943266,
        0.937579,
        0.934642,
        0.937601,
        0.9369,
        0.936581,
        0.94077,
        0.939985,
        0.929597,
        0.92721,
        0.934997,
        0.933879,
        0.933099,
        0.941186,
        0.952925,
        0.954647,
        0.958753,
        0.947735,
        0.938624,
        0.954168,
        0.949778,
        0.942177,
        0.948437,
        0.936701,
        0.930474,
        0.933828,
        0.94777,
        0.954943,
        0.948986,
        0.94609,
        0.940548,
        0.936117,
        0.941352,
        0.950031,
        0.953556,
        0.949624,
        0.946281,
        0.952842,
        0.960645,
        0.96678,
        0.967535,
        0.976905,
        0.9916,
        1.00921,
        1.02325,
        1.0385,
        1.0635,
        1.10636,
        1.15347,
        1.21391,
        1.30429,
        1.43353,
        1.56129,
        1.6891,
        1.82171,
        1.94073,
        2.03851,
        2.12584,
        2.23929,
        2.41825,
        2.64472,
        2.90029,
        3.14368,
        3.32084,
        3.46095,
        3.61245,
        3.71879,
        3.68416,
        3.29408,
        2.49097,
        1.55954,
        0.824637,
        0.443481,
        0.392617,
        0.589975,
        0.855616,
        1.04401,
        1.18401,
        1.32275,
        1.4836,
        1.65326,
        1.79345,
        1.84055,
        1.83712,
        1.78038,
        1.70369,
        1.60787,
        1.511,
        1.43732,
        1.35627,
        1.29637,
        1.23852,
        1.19731,
        1.15866,
        1.11132,
        1.04917,
        0.985957,
        0.929925,
        0.891214,
        0.997121,
        0.927952,
        0.901537,
        0.938347,
        0.928862,
        0.951873,
        0.953216,
        0.95215,
        0.948077,
        0.957706,
        0.971449,
        0.958079,
        0.94849,
        0.949274,
        0.941546,
        0.937015,
        0.940834,
        0.947739,
        0.944703,
        0.941672,
        0.944457,
        0.942635,
        0.933536,
        0.925916,
        0.930803,
        0.940252,
        0.94333,
        0.945949,
        0.954907,
        0.958534,
        0.954592,
        0.953019,
        0.94893,
        0.949807,
        0.946116,
        0.957924,
        0.953243,
        0.9499,
        0.940589,
        0.942216,
        0.94127,
        0.940464,
        0.943771,
        0.95347,
        0.956452,
        0.953759,
        0.957256,
        0.957828,
        0.951171,
        0.942907,
        0.936277,
        0.934739,
        0.935616,
        0.945789,
        0.944892,
        0.935439,
        0.943527,
        0.950736,
        0.963459,
        0.952633,
        0.939981,
        0.949468,
        0.944349,
        0.9439,
        0.945643,
        0.954892,
        0.954358,
        0.947799,
        0.949735,
        0.965764,
        0.99448,
        1.01942,
        1.04789,
        1.08228,
        1.11335,
        1.14016,
        1.15762,
        1.17675,
        1.20422,
        1.24935,
        1.30515,
        1.34274,
        1.32086,
        1.26446,
        1.22377,
        1.21276,
        1.19852,
        1.14067,
        1.0097,
        0.762166,
        0.481299,
        0.350481,
        0.402584,
        0.520541,
        0.610703,
        0.666884,
        0.720858,
        0.775629,
        0.815299,
        0.856104,
        0.90358,
        0.944204,
        0.971767,
        0.977515,
        0.984528,
        0.980154,
        0.968789,
        0.95879,
        0.954111,
        0.952078,
        0.959498,
        0.971035,
        0.966914,
        0.963444,
        0.955675,
        0.944251,
        0.941914,
        0.950404,
        0.961703,
        0.965593,
        0.959469,
        0.957064,
        0.958683,
        0.94839,
        0.943028,
        0.952638,
        0.96089,
        0.969289,
        0.986849,
        0.983424,
        0.988078,
        0.984225,
        0.976718,
        0.96965,
        0.977259,
        1.00171,
        1.01367,
        0.998088,
        0.987539,
        0.972817,
        0.95352,
        0.950009,
        0.947761,
        0.942635,
        0.901726,
        0.839212,
        0.800904,
        0.810398,
        0.829768,
        0.845804,
        0.858882,
        0.881682,
        0.913314,
        0.931208,
        0.946499,
        0.955312,
        0.961064,
        0.950439,
        0.942588,
        0.95298,
        0.965668,
        0.960484,
        0.953799,
        0.96242,
        0.960858,
        0.957077,
        0.947498,
        0.951751,
        0.951536,
        0.947505,
        0.950162,
        0.947101,
        0.943239,
        0.954098,
        0.959334,
        0.957939,
        0.941068,
        0.935162,
        0.953267,
        0.951462,
        0.945155,
        0.939866,
        0.937327,
        0.941944,
        0.955321,
        0.959476,
        0.948308,
        0.952953,
        0.967461,
        0.9658,
        0.953901,
        0.94504,
        0.941825,
        0.940565,
        0.934525,
        0.93359,
        0.940153,
        0.950924,
        0.962118,
        0.969932,
        0.96296,
        0.956261,
        0.94696,
        0.939458,
        0.946198,
        0.959366,
        0.958525,
        0.949946,
        0.955423,
        0.960031,
        0.956472,
        0.960724,
        0.958926,
        0.949289,
        0.94485,
        0.954242,
        0.960937,
        0.976804,
        0.99439,
        0.97694,
        0.982222,
        0.994107,
        1.00072,
        1.01092,
        1.00995,
        1.00309,
        0.980294,
        0.957807,
        0.963043,
        0.972881,
        0.974624,
        0.982853,
        0.989869,
        0.987892,
        0.977731,
        0.96423,
        0.969424,
        0.978834,
        0.980232,
        0.987557,
        1.00932,
        1.00461,
        0.98574,
        0.973025,
        0.972125,
        0.971754,
        0.958622,
        0.94725,
        0.955592,
        0.966416,
        0.974405,
        0.973749,
        0.97203,
        0.967827,
        0.958249,
        0.95429,
        0.966349,
        0.961847,
        0.945232,
        0.955391,
        0.97465,
        0.98336,
        0.969943,
        0.954214,
        0.970163,
        0.973948,
        0.976196,
        0.967015,
        0.970838,
        0.988191,
        0.987877,
        0.980974,
        0.963862,
        0.946567,
        0.932078,
        0.930757,
        0.937629,
        0.942208,
        0.953608,
        0.963668,
        0.96046,
        0.956776,
        0.971007,
        0.992492,
        0.993069,
        0.983674,
        0.97813,
        0.968815,
        0.954111,
        0.938206,
        0.935928,
        0.957421,
        0.976157,
        0.964848,
        0.961583,
        0.967651,
        0.97408,
        0.978286,
        0.974719,
        0.966556,
        0.948855,
        0.94568,
        0.972883,
        0.977303,
        0.974371,
        0.979385,
        0.963368,
        0.956749,
        0.970515,
        0.975042,
        0.965684,
        0.962925,
        0.95164,
        0.917869,
        0.899192,
        0.917331,
        0.966218,
        0.996391,
        0.984536,
        0.97913,
        0.986683,
        0.98109,
        0.963773,
        0.964427,
        0.985594,
        0.983957,
        0.963516,
        0.947271,
        0.966791,
        0.990431,
        0.980237,
        0.970569,
        0.978762,
        0.982964,
        0.986209,
        0.986923,
        0.984507,
        0.988679,
        0.988981,
        0.983913,
        0.984717,
        0.987391,
        0.979106,
        0.959632,
        0.953434,
        0.966463,
        0.971297,
        0.969688,
        0.977775,
        0.980403,
        0.972617,
        0.977336,
        0.985823,
        0.997686,
        1.00788,
        1.00054,
        0.981095,
        0.969775,
        0.962292,
        0.952164,
        0.951333,
        0.968168,
        0.968329,
        0.970538,
        0.961029,
        0.949174,
        0.97199,
        0.986686,
        0.980128,
        0.970316,
        0.974348,
        0.993653,
        0.997346,
        0.990617,
        0.987146,
        0.976576,
        0.95203,
        0.943301,
        0.955881,
        0.972686,
        0.851215,
        0.523157,
        0.732495,
        1.00131,
        0.980744,
        0.797563,
        0.548888,
        1.24381,
        0.965037,
        0.910146,
        1.00071,
        1.13802,
        1.10232,
        1.06006,
        1.09772,
        1.11469,
        1.13913,
        1.18509,
        1.25329,
        1.34612,
        1.46305,
        1.58566,
        1.71595,
        1.83735,
        1.96707,
        2.14986,
        2.31199,
        2.40979,
        2.53253,
        2.73118,
        2.99396,
        3.24691,
        3.45311,
        3.61472,
        3.73121,
        3.83518,
        3.85188,
        3.58551,
        2.91465,
        1.98656,
        1.22488,
        0.696812,
        0.47591,
        0.526584,
        0.753662,
        0.995154,
        1.17898,
        1.30896,
        1.42016,
        1.58834,
        1.74483,
        1.81094,
        1.80597,
        1.72532,
        1.59837,
        1.52586,
        1.43253,
        1.30111,
        1.27438,
        1.29596,
        1.23577,
        1.13201,
        1.07851,
        1.06977,
        1.04509,
        1.01472,
        0.969529,
        0.851464,
        0.76723,
        1.00247,
        1.06522,
        1.02249,
        0.984355,
        0.972421,
        1.01216,
        1.06591,
        1.07923,
        1.08627,
        1.14724,
        1.20873,
        1.20989,
        1.21255,
        1.23627,
        1.27371,
        1.31952,
        1.34745,
        1.33281,
        1.29952,
        1.25235,
        1.18391,
        1.13636,
        1.10838,
        0.988099,
        0.795035,
        0.582783,
        0.424613,
        0.412647,
        0.505947,
        0.598709,
        0.680336,
        0.740134,
        0.820516,
        0.884313,
        0.913233,
        0.937921,
        0.966554,
        0.98348,
        0.99824,
        1.00298,
        1.01302,
        1.03592,
        1.03205,
        1.0274,
        1.01178,
        1.00639,
        1.01311,
        0.977541,
        0.956392,
        0.971356,
        0.990489,
        0.977698,
        0.975144,
        0.991133,
        1.00806,
        1.01333,
        1.01003,
        1.01639,
        1.0315,
        1.04048,
        1.04351,
        1.04073,
        1.0409,
        1.04837,
        1.05951,
        1.0527,
        1.03655,
        1.03809,
        1.03334,
        1.01652,
        1.01969,
        1.021,
        1.02552,
        0.994851,
        0.955971,
        0.895778,
        0.843477,
        0.835783,
        0.856801,
        0.877069,
        0.893018,
        0.910229,
        0.936474,
        0.97046,
        0.992679,
        0.997265,
        0.993804,
        0.996464,
        0.991119,
        0.995709,
        1.00916,
        1.00118,
        0.999012,
        0.996867,
        0.988109,
        0.970307,
        0.97966,
        0.993963,
        0.983448,
        0.98065,
        0.973397,
        0.985007,
        0.981146,
        0.966002,
        0.97012,
        0.973459,
        0.955562,
        0.935433,
        0.920194,
        0.894587,
        0.85143,
        0.865866,
        0.879527,
        0.868894,
        0.854311,
        0.85483,
        0.869295,
        0.871148,
        0.880828,
        0.888306,
        0.886468,
        0.899504,
        0.902369,
        0.902109,
        0.943538,
        0.981262,
        0.97238,
        0.965179,
        0.972719,
        0.978763,
        0.991505,
        1.0006,
        0.98438,
        0.980847,
        1.00137,
        1.011,
        1.02231,
        1.01857,
        0.99896,
        1.00505,
        1.02733,
        1.02242,
        1.01777,
        1.01347,
        1.00187,
        1.00483,
        1.00322,
        0.98768,
        0.988987,
        0.997878,
        1.00065,
        1.00252,
        0.99968,
        0.999771,
        1.01332,
        1.02311,
        1.02685,
        1.01696,
        1.0097,
        1.01445,
        1.01945,
        1.02043,
        1.01026,
        1.01071,
        1.0194,
        1.01633,
        1.01501,
        1.01655,
        1.01755,
        1.01273,
        1.00185,
        0.993133,
        0.999718,
        1.00698,
        0.997234,
        0.986914,
        0.972923,
        0.964497,
        0.978691,
        0.98254,
        0.98323,
        0.984309,
        0.991768,
        0.996098,
        0.995544,
        0.996368,
        1.00455,
        1.0196,
        1.03583,
        1.04558,
        1.05384,
        1.05853,
        1.06882,
        1.07197,
        1.07869,
        1.08715,
        1.09294,
        1.08638,
        1.08241,
        1.08288,
        1.06966,
        1.04859,
        1.03814,
        1.04191,
        1.04951,
        1.05371,
        1.04715,
        1.04469,
        1.04217,
        1.03754,
        1.044,
        1.05405,
        1.05209,
        1.04691,
        1.05271,
        1.05262,
        1.04937,
        1.05832,
        1.07129,
        1.07063,
        1.0584,
        1.04692,
        1.04133,
        1.03115,
        1.0232,
        1.02139,
        1.00178,
        1.0006,
        1.02415,
        1.02717,
        1.04466,
        1.0552,
        1.05441,
        1.04886,
        1.05389,
        1.06021,
        1.04981,
        1.04633,
        1.0518,
        1.04308,
        1.01556,
        1.00414,
        1.0068,
        1.01806,
        1.01736,
        1.01006,
        1.02437,
        1.03019,
        1.02944,
        1.03447,
        1.03981,
        1.04645,
        1.03702,
        1.03546,
        1.03415,
        1.03675,
        1.04474,
        1.0541,
        1.05257,
        1.04842,
        1.04462,
        1.04744,
        1.05072,
        1.05133,
        1.04905,
        1.04653,
        1.04769,
        1.0461,
        1.04947,
        1.05668,
        1.04397,
        1.03049,
        1.04255,
        1.0498,
        1.05103,
        1.05157,
        1.0501,
        1.05645,
        1.05937,
        1.04748,
        1.03883,
        1.03148,
        1.03285,
        1.04558,
        1.06012,
        1.07727,
        1.07629,
        1.05499,
        1.04809,
        1.05752,
        1.06387,
        1.05096,
        1.02974,
        1.0229,
        1.03349,
        1.05493,
        1.05868,
        1.04763,
        1.02676,
        1.04139,
        1.05587,
        1.05354,
        1.04592,
        1.04776,
        1.04944,
        1.05367,
        1.05827,
        1.0558,
        1.05806,
        1.059,
        1.05139,
        1.03912,
        1.04955,
        1.05047,
        1.04682,
        1.04777,
        1.0507,
        1.05527,
        1.05954,
        1.05706,
        1.05979,
        1.05463,
        1.05097,
        1.06076,
        1.05842,
        1.04046,
        1.03649,
        1.03207,
        1.0396,
        1.0425,
        1.04705,
        1.05392,
        1.05079,
        1.0537,
        1.06379,
        1.05458,
        1.05674,
        1.06863,
        1.07412,
        1.06576,
        1.05801,
        1.05906,
        1.065,
        1.07013,
        1.06639,
        1.06659,
        1.06545,
        1.058,
        1.05238,
        1.03858,
        1.04126,
        1.02854,
        1.03116,
        1.04605,
        1.06274,
        1.07435,
        1.05615,
        1.05672,
        1.06612,
        1.05874,
        1.04736,
        1.05623,
        1.06728,
        1.06958,
        1.05668,
        1.05016,
        1.06206,
        1.07832,
        1.0766,
        1.06528,
        1.06328,
        1.07293,
        1.06422,
        1.05239,
        1.05794,
        1.07922,
        1.07538,
        1.06205,
        1.05272,
        1.06059,
        1.05484,
        1.05711,
        1.0723,
        1.06811,
        1.0473,
        1.04204,
        1.05024,
        1.06353,
        1.0698,
        1.0611,
        1.07301,
        1.0856,
        1.08766,
        1.09638,
        1.099,
        1.10518,
        1.1111,
        1.11581,
        1.14271,
        1.1839,
        1.22196,
        1.25713,
        1.31176,
        1.39438,
        1.48505,
        1.56375,
        1.67788,
        1.88058,
        2.10258,
        2.25676,
        2.42788,
        2.59074,
        2.7151,
        2.83411,
        2.98064,
        3.18668,
        3.42374,
        3.58889,
        3.48914,
        2.93239,
        2.02921,
        1.41873,
        1.59556,
        2.04904,
        2.05358,
        1.54316,
        0.945704,
        0.610407,
        0.549666,
        0.678152,
        0.934984,
        1.19197,
        1.37475,
        1.51391,
        1.66948,
        1.79897,
        1.94427,
        2.05129,
        2.06503,
        2.04123,
        1.98674,
        1.86823,
        1.75596,
        1.69687,
        1.65931,
        1.55849,
        1.47601,
        1.42235,
        1.34676,
        1.32515,
        1.36943,
        1.38632,
        1.13262,
        1.10754,
        1.08509,
        1.04227,
        0.960421,
        0.867158,
        0.883934,
        0.936131,
        0.961901,
        0.961601,
        0.961874,
        1.01377,
        1.04824,
        1.05687,
        1.07987,
        1.07951,
        1.08857,
        1.10085,
        1.08465,
        1.08218,
        1.10463,
        1.09811,
        1.06715,
        1.06261,
        1.07509,
        1.06115,
        1.03124,
        1.03012,
        1.07976,
        1.09978,
        1.06237,
        1.03517,
        1.0371,
        1.05589,
        1.07411,
        1.08232,
        1.07845,
        1.0788,
        1.05274,
        1.02496,
        1.03651,
        1.06081,
        1.07558,
        1.08307,
        1.08009,
        1.06965,
        1.069,
        1.08467,
        1.09111,
        1.07959,
        1.07771,
        1.0792,
        1.08382,
        1.08556,
        1.07953,
        1.07998,
        1.0807,
        1.0686,
        1.07413,
        1.08132,
        1.07946,
        1.09223,
        1.11028,
        1.11048,
        1.10272,
        1.0857,
        1.08101,
        1.07717,
        1.07699,
        1.07759,
        1.09561,
        1.08657,
        1.08328,
        1.10306,
        1.11055,
        1.07834,
        1.05936,
        1.0434,
        1.0468,
        1.07451,
        1.09619,
        1.1053,
        1.10019,
        1.08758,
        1.09846,
        1.09921,
        1.09727,
        1.11203,
        1.08991,
        1.07757,
        1.09198,
        1.08768,
        1.08779,
        1.07117,
        1.07595,
        1.08336,
        1.09742,
        1.10522,
        1.09255,
        1.07907,
        1.09085,
        1.09622,
        1.0913,
        1.07593,
        1.0923,
        1.10921,
        1.09222,
        1.07993,
        1.10007,
        1.10948,
        1.0963,
        1.07571,
        1.07306,
        1.08708,
        1.09213,
        1.07852,
        1.08767,
        1.08962,
        1.11015,
        1.11155,
        1.07788,
        1.0818,
        1.07467,
        1.0789,
        1.08082,
        1.07772,
        1.07817,
        1.08648,
        1.08607,
        1.09241,
        1.11543,
        1.12483,
        1.09752,
        1.07042,
        1.07996,
        1.10965,
        1.12615,
        1.13428,
        1.13076,
        1.16048,
        1.16171,
        1.17109,
        1.1688,
        1.15462,
        1.1653,
        1.17168,
        1.1711,
        1.17867,
        1.17657,
        1.15003,
        1.13232,
        1.13317,
        1.14742,
        1.13999,
        1.14289,
        1.14643,
        1.12563,
        1.12251,
        1.10744,
        1.09617,
        1.12446,
        1.14766,
        1.13952,
        1.13316,
        1.12619,
        1.14177,
        1.16291,
        1.15452,
        1.14289,
        1.11988,
        1.07499,
        1.10039,
        1.13576,
        1.12772,
        1.12122,
        1.13788,
        1.11741,
        1.10324,
        1.10629,
        1.11571,
        1.13184,
        1.10856,
        1.08004,
        1.07932,
        1.08124,
        1.06684,
        1.05918,
        1.0767,
        1.098,
        1.10074,
        1.09452,
        1.09544,
        1.09639,
        1.11398,
        1.11509,
        1.09987,
        1.08581,
        1.07939,
        1.07821,
        1.09004,
        1.1017,
        1.09345,
        1.09363,
        1.09912,
        1.10359,
        1.10316,
        1.10405,
        1.10666,
        1.11465,
        1.1089,
        1.09535,
        1.09503,
        1.10144,
        1.10363,
        1.0889,
        1.09471,
        1.10887,
        1.11023,
        1.10399,
        1.09519,
        1.08929,
        1.1,
        1.10546,
        1.10609,
        1.09486,
        1.09418,
        1.07491,
        1.07726,
        1.07843,
        1.08968,
        1.1023,
        1.10693,
        1.12955,
        1.13683,
        1.12127,
        1.10022,
        1.09728,
        1.12346,
        1.13033,
        1.11868,
        1.11463,
        1.11641,
        1.11296,
        1.10807,
        1.12144,
        1.13235,
        1.12191,
        1.11098,
        1.11895,
        1.11022,
        1.09779,
        1.08978,
        1.10231,
        1.11447,
        1.10039,
        1.08794,
        1.07903,
        1.09089,
        1.11215,
        1.1091,
        1.09202,
        1.08484,
        1.08299,
        1.11167,
        1.12114,
        1.0984,
        1.07198,
        1.05164,
        1.03813,
        1.04967,
        1.06476,
        1.09264,
        1.07192,
        1.0285,
        1.03522,
        1.07662,
        1.06832,
        1.02889,
        0.945353,
        1.06394,
        1.1451,
        1.08649,
        1.01907,
        1.0257,
        1.06635,
        1.05183,
        1.05637,
        1.10783,
        1.10991,
        1.093,
        1.10111,
        1.10913,
        1.12687,
        1.13513,
        1.11968,
        1.11825,
        1.13429,
        1.15491,
        1.15089,
        1.13692,
        1.15209,
        1.1326,
        1.10879,
        1.12434,
        1.14373,
        1.15866,
        1.16213,
        1.16019,
        1.19595,
        1.23968,
        1.25751,
        1.26999,
        1.30629,
        1.33114,
        1.35787,
        1.35823,
        1.34652,
        1.28187,
        1.22488,
        1.21436,
        1.2009,
        1.16254,
        1.04339,
        0.761557,
        0.479301,
        0.466952,
        0.65534,
        0.793763,
        0.848338,
        0.887268,
        0.95582,
        1.03405,
        1.0711,
        1.11519,
        1.11867,
        1.09076,
        1.12194,
        1.15503,
        1.17348,
        1.18725,
        1.17585,
        1.16044,
        1.1457,
        1.15256,
        1.16254,
        1.16123,
        1.18007,
        1.18262,
        1.18131,
        1.18131,
        1.16953,
        1.16828,
        1.16837,
        1.19763,
        1.1995,
        1.18609,
        1.18705,
        1.22245,
        1.21952,
        1.18048,
        1.18499,
        1.17934,
        1.13859,
        1.09252,
        0.988176,
        0.983933,
        1.0942,
        1.18242,
        1.20427,
        1.27115,
        1.36399,
        1.46304,
        1.59371,
        1.74322,
        1.91703,
        2.05981,
        2.1843,
        2.31462,
        2.44811,
        2.56677,
        2.69558,
        2.90195,
        3.15943,
        3.57305,
        3.84041,
        4.02378,
        4.21547,
        4.43362,
        4.63105,
        4.70542,
        4.47632,
        3.74156,
        2.6304,
        1.62632,
        1.03608,
        0.839826,
        0.902154,
        1.16582,
        1.40396,
        1.54154,
        1.69755,
        1.88624,
        2.08445,
        2.24965,
        2.37585,
        2.40878,
        2.32318,
        2.22826,
        2.1359,
        1.99908,
        1.89138,
        1.81306,
        1.7216,
        1.62722,
        1.55343,
        1.47212,
        1.40481,
        1.38126,
        1.38696,
        1.24713,
        1.19366,
        1.14991,
        1.13639,
        1.17003,
        1.20556,
        1.19954,
        1.18631,
        1.18666,
        1.20189,
        1.21672,
        1.21166,
        1.19528,
        1.19764,
        1.18803,
        1.16591,
        1.1655,
        1.18039,
        1.16864,
        1.17643,
        1.18795,
        1.19087,
        1.20726,
        1.18386,
        1.16672,
        1.17405,
        1.1919,
        1.22466,
        1.2163,
        1.17608,
        1.1696,
        1.18034,
        1.19191,
        1.19156,
        1.16498,
        1.16509,
        1.18049,
        1.17891,
        1.16186,
        1.19108,
        1.19706,
        1.17824,
        1.16922,
        1.17735,
        1.1761,
        1.16785,
        1.1463,
        1.15675,
        1.15611,
        1.16629,
        1.14713,
        1.14843,
        1.15678,
        1.15957,
        1.16347,
        1.17912,
        1.18201,
        1.18415,
        1.20035,
        1.2104,
        1.20514,
        1.19884,
        1.18763,
        1.17471,
        1.17476,
        1.17263,
        1.16941,
        1.19057,
        1.20084,
        1.18717,
        1.16492,
        1.13668,
        1.16858,
        1.20675,
        1.20041,
        1.18641,
        1.20465,
        1.21727,
        1.21509,
        1.22316,
        1.21068,
        1.19764,
        1.21154,
        1.21266,
        1.19945,
        1.1846,
        1.17004,
        1.17138,
        1.16756,
        1.1623,
        1.17387,
        1.18864,
        1.19806,
        1.20578,
        1.21844,
        1.21867,
        1.18633,
        1.15753,
        1.15864,
        1.18481,
        1.20158,
        1.20965,
        1.23021,
        1.19432,
        1.17302,
        1.1913,
        1.1978,
        1.18896,
        1.19191,
        1.17894,
        1.1943,
        1.20926,
        1.20802,
        1.20101,
        1.2023,
        1.16503,
        1.17405,
        1.23123,
        1.19753,
        1.17489,
        1.19716,
        1.20688,
        1.2059,
        1.21927,
        1.22748,
        1.23472,
        1.26214,
        1.27447,
        1.26164,
        1.27215,
        1.29032,
        1.29071,
        1.28116,
        1.29879,
        1.30358,
        1.29441,
        1.26749,
        1.24628,
        1.24694,
        1.23755,
        1.22376,
        1.22141,
        1.23617,
        1.27121,
        1.25415,
        1.21919,
        1.19665,
        1.18183,
        1.18706,
        1.21184,
        1.22985,
        1.22672,
        1.22849,
        1.23783,
        1.2454,
        1.24229,
        1.22354,
        1.21148,
        1.18627,
        1.17558,
        1.18531,
        null,
        1.13397,
        1.10999,
        1.08601,
        1.06203,
        1.04361,
        1.03693,
        1.06717,
        1.0906,
        1.09167,
        1.07157,
        1.07124,
        1.06089,
        1.04322,
        1.02981,
        1.04852,
        1.04557,
        1.05256,
        1.06342,
        1.06273,
        1.06514,
        1.0549,
        1.04129,
        1.03348,
        1.03562,
        1.05126,
        1.06958,
        1.08124,
        1.06357,
        1.04828,
        1.03608,
        1.02817,
        1.02751,
        1.02956,
        1.02858,
        1.02725,
        1.03269,
        1.04539,
        1.05852,
        1.06553,
        1.05996,
        1.05278,
        1.03199,
        1.02432,
        1.04352,
        1.04636,
        1.03776,
        1.03035,
        1.02734,
        1.02043,
        1.01521,
        1.02145,
        1.03761,
        1.05536,
        1.06462,
        1.064,
        1.05327,
        1.03236,
        1.03269,
        1.03097,
        1.02811,
        1.02488,
        1.01841,
        1.01503,
        1.00923,
        1.00334,
        1.02355,
        1.02269,
        1.01349,
        0.998673,
        0.977538,
        0.992487,
        1.01254,
        1.02522,
        1.01633,
        1.02623,
        1.03883,
        1.04691,
        1.04386,
        1.01742,
        1.02134,
        1.03756,
        1.04959,
        1.01473,
        1.02228,
        1.03598,
        1.04339,
        1.04028,
        1.02043,
        1.00848,
        1.01204,
        1.03729,
        1.02258,
        1.0078,
        1.01396,
        1.05471,
        1.04459,
        1.03101,
        1.01537,
        1.00149,
        1.00685,
        1.01255,
        1.01082,
        1.00679,
        1.02169,
        1.01847,
        1.01418,
        1.01628,
        1.03293,
        1.02172,
        1.02115,
        1.02494,
        1.02596,
        1.03512,
        1.03484,
        1.0307,
        1.02704,
        1.03052,
        1.01738,
        1.0154,
        1.02566,
        1.0279,
        1.02676,
        1.02137,
        1.0214,
        1.04168,
        1.0384,
        1.02583,
        1.02137,
        1.0379,
        1.04359,
        1.04467,
        1.03236,
        1.00852,
        1.00771,
        1.01862,
        1.02777,
        1.03088,
        1.02566,
        1.02531,
        1.02227,
        1.01691,
        1.01109,
        1.01481,
        1.01467,
        1.01128,
        1.0065,
        1.0159,
        1.02135,
        1.02227,
        1.02149,
        1.03525,
        1.02436,
        1.01527,
        1.01475,
        1.02301,
        1.01985,
        1.00978,
        1.00245,
        1.00935,
        1.02865,
        1.01746,
        1.005,
        1.01237,
        1.02874,
        1.02633,
        1.01583,
        1.00872,
        1.0331,
        1.03976,
        1.03317,
        1.01949,
        1.01048,
        1.02142,
        1.02098,
        1.02191,
        1.04056,
        1.02045,
        1.00773,
        1.00066,
        1.00004,
        1.02269,
        0.998426,
        0.977742,
        0.978824,
        1.00454,
        1.03661,
        1.04885,
        1.04633,
        1.0458,
        1.03191,
        1.02084,
        1.01611,
        1.02018,
        1.03377,
        1.06302,
        1.06981,
        1.04094,
        1.01266,
        1.02172,
        1.0423,
        1.05695,
        1.0393,
        1.05619,
        1.08707,
        1.121,
        1.14639,
        1.16295,
        1.18156,
        1.20718,
        1.2441,
        1.30135,
        1.34446,
        1.38668,
        1.43424,
        1.49084,
        1.51505,
        1.51759,
        1.51346,
        1.52676,
        1.54516,
        1.54446,
        1.53986,
        1.54856,
        1.56824,
        1.56642,
        1.52898,
        1.47341,
        1.5404,
        1.54115,
        1.53225,
        1.53009,
        1.53811,
        1.50898,
        1.48293,
        1.46651,
        1.46341,
        1.45115,
        1.42957,
        1.4009,
        1.36973,
        1.36079,
        1.33978,
        1.31358,
        1.28695,
        1.26776,
        1.24291,
        1.22359,
        1.20331,
        1.16765,
        1.15315,
        1.14983,
        1.14797,
        1.13829,
        1.112,
        1.08943,
        1.07999,
        1.08476,
        1.08747,
        1.08611,
        1.08369,
        1.07787,
        1.06196,
        1.05988,
        1.05156,
        1.04556,
        1.05242,
        1.05176,
        1.06152,
        1.06021,
        1.04031,
        1.03629,
        1.02135,
        1.01401,
        1.01649,
        1.02,
        1.0248,
        1.02786,
        1.02907,
        1.02888,
        1.03076,
        1.0208,
        1.01373,
        1.0204,
        1.03807,
        1.03279,
        1.03009,
        1.03442,
        1.02694,
        1.03507,
        1.03738,
        1.03478,
        1.03519,
        1.04281,
        1.03899,
        1.02864,
        1.0177,
        1.01542,
        1.02598,
        1.0336,
        1.03402,
        1.03845,
        1.02038,
        1.012,
        1.01613,
        1.02543,
        1.0303,
        1.03226,
        1.03908,
        1.05626,
        1.04055,
        1.03556,
        1.03148,
        1.02477,
        1.02263,
        1.02702,
        1.02981,
        1.03053,
        1.03256,
        1.03685,
        1.03093,
        1.02316,
        1.02398,
        1.02839,
        1.04065,
        1.04904,
        1.04608,
        1.02792,
        1.02692,
        1.04111,
        1.05637,
        1.03937,
        1.01755,
        1.01966,
        1.03673,
        1.0535,
        1.035,
        1.03265,
        1.0364,
        1.03774,
        1.02167,
        1.01141,
        1.01837,
        1.03405,
        1.02515,
        1.03341,
        1.04567,
        1.0492,
        1.03018,
        1.02572,
        1.02522,
        1.02212,
        1.01357,
        1.01201,
        1.01412,
        1.02552,
        1.04111,
        1.04184,
        1.04296,
        1.04144,
        1.03102,
        1.00411,
        1.0356,
        1.05675,
        1.06295,
        1.05437,
        1.05441,
        1.05382,
        1.04754,
        1.03247,
        1.00505,
        1.00258,
        1.01342,
        1.03003,
        1.04377,
        1.0351,
        1.02687,
        1.01365,
        0.997628,
        1.01962,
        1.02198,
        1.0278,
        1.03627,
        1.02307,
        1.02556,
        1.03218,
        1.03253,
        1.01516,
        1.037,
        1.04946,
        1.04559,
        1.02658,
        1.03033,
        1.02585,
        1.02802,
        1.03479,
        1.02851,
        1.01517,
        1.01472,
        1.02052,
        1.02107,
        0.998091,
        1.001,
        1.01722,
        1.03701,
        1.05289,
        1.03201,
        1.01015,
        0.99969,
        1.00663,
        1.01562,
        1.02268,
        1.02355,
        1.01449,
        1.01986,
        1.03213,
        1.03897,
        1.03405,
        1.02157,
        1.02402,
        1.02235,
        1.01674,
        1.01895,
        1.01921,
        1.0235,
        1.02796,
        1.02803,
        1.02027,
        1.02703,
        1.0356,
        1.03685,
        1.01703,
        1.02505,
        1.02788,
        1.02489,
        1.02947,
        1.01851,
        1.01567,
        1.01645,
        1.017,
        1.03782,
        1.03463,
        1.02559,
        1.02144,
        1.03399,
        1.03248,
        1.03534,
        1.03855,
        1.03019,
        1.02984,
        1.0318,
        1.02764,
        1.01255,
        0.998563,
        0.997583,
        1.00773,
        1.02299,
        1.02685,
        1.04384,
        1.04894,
        1.03776,
        1.0104,
        1.01124,
        1.01841,
        1.02593,
        1.02892,
        1.02346,
        1.01526,
        1.01605,
        1.02387,
        1.02394,
        0.995718,
        0.988268,
        0.997957,
        1.01392,
        1.01262,
        1.0144,
        1.01888,
        1.02323,
        1.01334,
        1.01992,
        1.02171,
        1.0204,
        1.02827,
        1.02009,
        1.0081,
        0.999387,
        0.999458,
        1.00322,
        1.01833,
        1.02347,
        1.01415,
        1.00875,
        1.01359,
        1.01849,
        1.01935,
        1.01235,
        1.01731,
        1.02734,
        1.03563,
        1.03834,
        1.04185,
        1.03764,
        1.03726,
        1.0354,
        1.00808,
        1.01271,
        1.01086,
        1.00982,
        1.022,
        1.02495,
        1.03448,
        1.03641,
        1.02702,
        1.02359,
        1.01691,
        1.00785,
        1.00534,
        1.02574,
        1.02436,
        1.02907,
        1.03374,
        1.03184,
        1.01718,
        1.01783,
        1.01642,
        1.01174,
        1.021,
        1.02162,
        1.01747,
        1.0149,
        1.022,
        1.02382,
        1.02397,
        1.02341,
        1.0228,
        1.02242,
        1.02601,
        1.03034,
        1.02976,
        1.01391,
        1.01689,
        1.04114,
        1.05654,
        1.03646,
        1.02771,
        1.05257,
        1.06665,
        1.05723,
        1.05211,
        1.06049,
        1.05722,
        1.04855,
        1.04912,
        1.04796,
        1.06065,
        1.07753,
        1.08855,
        1.0752,
        1.05448,
        1.04157,
        1.04033,
        1.05073,
        1.05082,
        1.04595,
        1.04082,
        1.04013,
        1.04696,
        1.04893,
        1.04231,
        1.0286,
        1.01877,
        1.03303,
        1.05485,
        1.06846,
        1.05358,
        1.0685,
        1.06744,
        1.05007,
        1.02489,
        1.04182,
        1.05637,
        1.05113,
        1.02734,
        1.00053,
        1.01609,
        1.02118,
        1.02376,
        1.03486,
        1.0271,
        1.02267,
        1.02187,
        1.02208,
        1.01395,
        1.00462,
        1.01283,
        1.02851,
        1.03408,
        1.02518,
        1.02225,
        1.0236,
        1.0272,
        1.02902,
        1.03996,
        1.04514,
        1.04481,
        1.04738,
        1.03011,
        1.02676,
        1.02898,
        1.02615,
        1.00101,
        1.00983,
        1.02668,
        1.03768,
        1.03096,
        1.01376,
        1.03039,
        1.05089,
        1.03013,
        1.01519,
        1.01392,
        1.01707,
        1.02014,
        1.027,
        1.0131,
        1.01044,
        1.01728,
        1.01985,
        1.03804,
        1.03549,
        1.0212,
        1.00699,
        1.02279,
        1.0136,
        1.01023,
        1.01679,
        1.01749,
        1.01811,
        1.01706,
        1.00832,
        0.988758,
        1.00913,
        1.01825,
        1.02581,
        1.03238,
        1.0239,
        1.02582,
        1.02174,
        1.01989,
        1.03403,
        1.01243,
        0.979052,
        0.981517,
        1.03124,
        1.04407,
        1.04613,
        1.03565,
        1.01417,
        1.02477,
        1.0347,
        1.03476,
        1.02447,
        1.01418,
        1.0288,
        1.02972,
        1.02638,
        1.03603,
        1.02815,
        1.01829,
        1.01604,
        1.02289,
        1.02272,
        1.0279,
        1.03807,
        1.03874,
        1.00712,
        1.00562,
        1.02798,
        1.03444,
        1.00717,
        1.01173,
        1.01695,
        1.02155,
        1.02654,
        1.03481,
        1.03622,
        1.0279,
        1.01647,
        1.00858,
        1.00803,
        1.01218,
        1.00985,
        1.00413,
        1.01071,
        1.03096,
        1.02886,
        1.02173,
        1.02773,
        1.02316,
        1.02511,
        1.02156,
        1.01179,
        1.00926,
        1.02326,
        1.01613,
        1.00093,
        1.0003,
        1.01304,
        1.00978,
        1.00911,
        1.0152,
        1.00133,
        1.01105,
        1.01985,
        1.02847,
        1.04257,
        1.01266,
        0.999443,
        0.99881,
        1.00648,
        1.01524,
        1.03314,
        1.03799,
        1.03338,
        1.03464,
        1.02209,
        1.01462,
        1.01644,
        1.02761,
        1.03038,
        0.992978,
        0.990642,
        1.01553,
        1.0146,
        1.02339,
        1.02898,
        1.03244,
        1.03288,
        1.00905,
        1.02811,
        1.03973,
        1.03163,
        1.01719,
        1.02389,
        1.02125,
        1.01822,
        1.02482,
        1.04177,
        1.04376,
        1.03829,
        1.03202,
        1.03617,
        1.03533,
        1.04298,
        1.03779,
        1.00311,
        1.01664,
        1.02536,
        1.03498,
        1.04237,
        1.02918,
        1.02908,
        1.02225,
        1.01544,
        1.01924,
        1.0388,
        1.04467,
        1.04565,
        1.04531,
        1.04143,
        1.03596,
        1.03368,
        1.02854,
        1.01364,
        1.01958,
        1.02577,
        1.0227,
        1.012,
        1.02049,
        1.01557,
        1.00905,
        1.00865,
        1.0209,
        1.01926,
        1.02191,
        1.01695,
        1.00534,
        1.02365,
        1.03844,
        1.0369,
        1.02545,
        1.0167,
        1.01235,
        1.01414,
        1.02578,
        1.0439,
        1.04152,
        1.04553,
        1.04906,
        1.04551,
        1.02686,
        1.02568,
        1.02571,
        1.02497,
        1.02294,
        1.02322,
        1.04677,
        1.0443,
        1.03175,
        1.05542,
        1.06797,
        1.07432,
        1.07701,
        1.07945,
        1.09115,
        1.09938,
        1.11667,
        1.14341,
        1.17496,
        1.21154,
        1.24088,
        1.27381,
        1.31886,
        1.37909,
        1.41046,
        1.45522,
        1.50252,
        1.51645,
        1.51051,
        1.51235,
        1.53307,
        1.57228,
        1.5888,
        1.58111,
        1.57215,
        1.5675,
        1.56688,
        1.53882,
        1.51659,
        1.5091,
        1.52119,
        1.55187,
        1.52813,
        1.49414,
        1.4619,
        1.43518,
        1.43179,
        1.42011,
        1.39724,
        1.36515,
        1.34419,
        1.31973,
        1.30448,
        1.29015,
        1.25807,
        1.22792,
        1.22839,
        1.2263,
        1.20283,
        1.17548,
        1.15914,
        1.14692,
        1.13798,
        1.13332,
        1.12231,
        1.11745,
        1.10657,
        1.08608,
        1.07815,
        1.08565,
        1.08334,
        1.0726,
        1.06372,
        1.05685,
        1.05063,
        1.04118,
        1.02934,
        1.02927,
        1.03658,
        1.0477,
        1.05551,
        1.05073,
        1.04781,
        1.05721,
        1.05652,
        1.04118,
        1.04541,
        1.0383,
        1.02587,
        1.01077,
        0.99648,
        1.01868,
        1.02883,
        1.03304,
        1.03548,
        1.03822,
        1.04382,
        1.04747,
        1.04664,
        1.04007,
        1.04564,
        1.04222,
        1.03609,
        1.03169,
        1.03268,
        1.05396,
        1.05203,
        1.041,
        1.04335,
        1.0405,
        1.0491,
        1.05053,
        1.04538,
        1.05986,
        1.04532,
        1.04334,
        1.04406,
        1.03502,
        1.04768,
        1.04522,
        1.04484,
        1.0498,
        1.05133,
        1.03299,
        1.02768,
        1.03334,
        1.04274,
        1.03584,
        1.04693,
        1.04913,
        1.03587,
        1.01282,
        1.0272,
        1.03364,
        1.03436,
        1.03357,
        1.03029,
        1.03907,
        1.04947,
        1.05759,
        1.06147,
        1.06003,
        1.04781,
        1.02855,
        1.01005,
        1.02147,
        1.03657,
        1.03806,
        1.03171,
        1.03343,
        1.01802,
        1.03238,
        1.04591,
        1.03813,
        1.00242,
        1.01202,
        1.01386,
        1.02018,
        1.05898,
        1.05117,
        1.0355,
        1.02982,
        1.03497,
        1.01993,
        1.02249,
        1.0298,
        1.04368,
        1.0661,
        1.05666,
        1.0436,
        1.03647,
        1.03542,
        1.02804,
        1.03134,
        1.03715,
        1.04445,
        1.05058,
        1.02694,
        1.02768,
        1.03723,
        1.04369,
        1.03235,
        1.02642,
        1.01763,
        1.01226,
        1.01699,
        1.04034,
        1.03691,
        1.02592,
        1.01352,
        1.00176,
        1.01915,
        1.03077,
        1.03856,
        1.04287,
        1.03551,
        1.02336,
        1.01773,
        1.02149,
        1.03435,
        1.03494,
        1.03424,
        1.03608,
        1.04177,
        1.04852,
        1.03275,
        1.03372,
        1.0412,
        1.03777,
        1.03758,
        1.02976,
        1.02466,
        1.02256,
        1.01158,
        1.02413,
        1.03443,
        1.03809,
        1.03464,
        1.03538,
        1.03522,
        1.03034,
        1.02766,
        1.04301,
        1.05143,
        1.05422,
        1.04587,
        1.02795,
        1.03149,
        1.05111,
        1.04739,
        1.02782,
        1.01899,
        1.0323,
        1.01569,
        0.996153,
        0.991503,
        1.01074,
        1.02581,
        1.0332,
        1.02996,
        1.01484,
        1.00701,
        1.01615,
        1.0294,
        1.03943,
        1.04089,
        1.04439,
        1.05221,
        1.05592,
        1.0471,
        1.02172,
        1.03353,
        1.04679,
        1.04303,
        1.00769,
        1.02976,
        1.03812,
        1.04036,
        1.04248,
        1.03756,
        1.02519,
        1.02706,
        1.03528,
        1.03416,
        1.04866,
        1.03426,
        1.02471,
        1.03117,
        1.03721,
        1.02889,
        1.02974,
        1.03241,
        1.02906,
        1.04536,
        1.05561,
        1.04582,
        1.02387,
        1.01819,
        1.03891,
        1.0328,
        1.01255,
        0.997212,
        1.02839,
        1.05246,
        1.05425,
        1.04274,
        1.0381,
        1.02109,
        1.02499,
        1.03015,
        1.028,
        1.02522,
        1.03405,
        1.04072,
        1.0406,
        1.03311,
        1.05021,
        1.0638,
        1.06377,
        1.05826,
        1.07617,
        1.06135,
        1.05669,
        1.05231,
        1.04361,
        1.06054,
        1.05809,
        1.05818,
        1.05855,
        1.04769,
        1.0439,
        1.05732,
        1.06497,
        1.05938,
        1.05733,
        1.06317,
        1.05845,
        1.04991,
        1.04853,
        1.06376,
        1.06328,
        1.0612,
        1.06061,
        1.05769,
        1.05058,
        1.05101,
        1.04905,
        1.04033,
        1.04294,
        1.05573,
        1.05608,
        1.04589,
        1.03621,
        1.04544,
        1.03779,
        1.02934,
        1.02823,
        1.03517,
        1.05068,
        1.04133,
        1.02566,
        1.02456,
        1.03551,
        1.02705,
        1.01417,
        1.01051,
        1.03213,
        1.03943,
        1.02768,
        1.01819,
        1.02362,
        1.0353,
        1.02063,
        1.02104,
        1.02983,
        1.02971,
        1.02989,
        1.02085,
        1.01687,
        1.02107,
        1.02611,
        1.03411,
        1.02913,
        1.02049,
        1.01736,
        1.0225,
        1.02003,
        1.01153,
        1.00659,
        1.01923,
        1.02227,
        1.02607,
        1.02766,
        1.02707,
        1.02978,
        1.03703,
        1.0359,
        1.02751,
        1.01841,
        1.04821,
        1.06187,
        1.05335,
        1.03657,
        1.04416,
        1.03372,
        1.00525,
        0.986577,
        0.986361,
        0.960607,
        1.00339,
        1.01129,
        1.00295,
        1.01939,
        1.00238,
        0.951372,
        0.959634,
        1.08294,
        1.09262,
        1.04317,
        1.01304,
        1.01155,
        1.01442,
        0.999129,
        1.04736,
        1.08356,
        1.07475,
        1.05838,
        1.03843,
        1.00573,
        0.988915,
        1.01267,
        1.02838,
        1.02618,
        1.03425,
        1.04554,
        1.03096,
        1.01604,
        1.01222,
        1.01944,
        1.02955,
        1.01337,
        1.0096,
        1.03545,
        1.05678,
        1.03784,
        1.01775,
        1.00754,
        1.0086,
        1.02256,
        1.05092,
        1.04625,
        1.03849,
        1.03829,
        1.04554,
        1.03478,
        1.03809,
        1.03251,
        1.02225,
        1.016,
        1.02526,
        1.03367,
        1.04173,
        1.0456,
        1.0384,
        1.03357,
        1.03122,
        1.02726,
        1.02143,
        1.02218,
        1.0192,
        1.02469,
        1.03503,
        1.04301,
        1.0333,
        1.04294,
        1.0395,
        1.02551,
        1.02467,
        1.03862,
        1.05483,
        1.05704,
        1.04107,
        1.02219,
        1.04131,
        1.04289,
        1.03637,
        1.03635,
        1.02176,
        null,
        1.04254,
        1.04107,
        1.03961,
        1.03814,
        1.04111,
        1.04792,
        1.04878,
        1.0346,
        1.03034,
        1.03151,
        1.03122,
        1.02051,
        1.02133,
        1.02697,
        1.02292,
        1.01181,
        1.01749,
        1.01777,
        1.0113,
        1.0113,
        1.02182,
        1.03782,
        1.03694,
        1.04502,
        1.04145,
        1.02271,
        0.998634,
        1.01536,
        1.02349,
        1.02639,
        1.02708,
        1.02798,
        1.02375,
        1.02847,
        1.02534,
        1.01728,
        1.01663,
        1.03377,
        1.04529,
        1.03899,
        1.01872,
        0.998533,
        1.01784,
        1.02341,
        1.00526,
        0.986681,
        0.995432,
        1.02136,
        1.0263,
        1.02614,
        1.02514,
        1.02304,
        1.01123,
        1.00814,
        1.01329,
        1.02045,
        1.02319,
        1.01756,
        1.01955,
        1.02391,
        1.02215,
        1.01311,
        1.01613,
        1.00701,
        0.998941,
        0.994617,
        0.991955,
        0.981154,
        0.989289,
        1.00984,
        1.02681,
        1.03341,
        1.03774,
        1.02587,
        1.01473,
        1.00763,
        1.00518,
        1.00534,
        1.01062,
        1.02162,
        1.03322,
        1.03665,
        1.0199,
        0.998286,
        1.00413,
        1.01316,
        1.0146,
        1.01002,
        1.02807,
        1.03798,
        1.02931,
        1.01392,
        1.01478,
        1.01938,
        1.02629,
        1.02599,
        1.01952,
        1.01458,
        1.02474,
        1.03446,
        1.0266,
        1.01201,
        1.01069,
        1.01809,
        1.02255,
        1.02478,
        1.02007,
        1.00904,
        1.02916,
        1.03358,
        1.02864,
        1.02293,
        1.02326,
        1.02075,
        1.01548,
        1.01993,
        1.02788,
        1.03208,
        1.03632,
        1.02519,
        1.01176,
        1.00628,
        1.0121,
        1.01624,
        1.01727,
        1.01432,
        1.01408,
        1.01709,
        1.00538,
        1.01782,
        1.01672,
        1.00441,
        0.988078,
        0.9769,
        1.01452,
        1.02375,
        1.01979,
        1.01226,
        0.996837,
        0.993167,
        0.995606,
        1.00128,
        1.00719,
        1.01028,
        1.00725,
        0.999044,
        1.00691,
        1.0289,
        1.04027,
        1.01985,
        1.0152,
        1.02351,
        1.03079,
        1.01732,
        1.01323,
        1.02619,
        1.04305,
        1.05564,
        1.05852,
        1.0302,
        1.01896,
        1.0176,
        1.01665,
        1.00756,
        1.00691,
        1.00647,
        1.00833,
        1.01015,
        1.00935,
        1.0138,
        1.02582,
        1.02627,
        1.01932,
        1.01832,
        1.0403,
        1.03045,
        1.01527,
        1.01187,
        1.02603,
        1.02421,
        1.01416,
        1.00375,
        1.00185,
        1.01556,
        1.04702,
        1.04147,
        1.02657,
        1.01962,
        1.02617,
        1.02137,
        1.00813,
        1.00257,
        1.00557,
        1.01237,
        1.00999,
        1.02598,
        1.02455,
        1.01286,
        1.00495,
        1.02326,
        1.03718,
        1.03076,
        1.01656,
        1.00945,
        1.02501,
        1.03994,
        1.03811,
        1.03511,
        1.03195,
        1.01179,
        1.00766,
        1.00469,
        1.00511,
        1.01269,
        1.03232,
        1.02315,
        1.01082,
        0.997949,
        0.992312,
        1.00469,
        1.01258,
        1.0138,
        1.0073,
        0.999497,
        1.00103,
        1.00806,
        1.02057,
        1.0291,
        1.02703,
        1.01646,
        1.00848,
        1.01469,
        1.02995,
        1.03254,
        1.02316,
        1.00983,
        1.0009,
        1.00788,
        1.02068,
        1.02792,
        1.02435,
        1.02943,
        1.03618,
        1.02424,
        1.01022,
        1.00853,
        0.997401,
        1.00692,
        1.01221,
        1.01328,
        1.01413,
        1.01987,
        1.01208,
        1.0004,
        0.993238,
        0.995229,
        1.00181,
        1.0033,
        0.995058,
        0.997696,
        1.0189,
        1.03958,
        1.02437,
        1.01436,
        1.00741,
        1.00121,
        0.996107,
        1.00111,
        1.00688,
        1.01872,
        1.03689,
        1.05453,
        1.03799,
        1.03169,
        1.02,
        1.00374,
        0.999566,
        0.991449,
        0.996221,
        1.00789,
        1.02106,
        1.03079,
        1.04508,
        1.05174,
        1.04785,
        1.03261,
        1.0079,
        0.991316,
        1.00075,
        1.01531,
        1.02752,
        1.03538,
        1.02219,
        1.01736,
        1.02066,
        1.02755,
        1.0309,
        1.02136,
        1.02356,
        1.02051,
        1.01895,
        1.02971,
        1.03627,
        1.02385,
        1.02658,
        1.03466,
        1.02842,
        1.02023,
        1.01991,
        1.02325,
        1.0295,
        1.03836,
        1.04906,
        1.05176,
        1.05168,
        1.0465,
        1.03452,
        1.02154,
        1.02892,
        1.03406,
        1.03206,
        1.02252,
        1.00878,
        0.999641,
        1.00348,
        1.01384,
        1.02131,
        1.01078,
        1.02704,
        1.03649,
        1.04222,
        1.04215,
        1.01509,
        1.02739,
        1.02806,
        1.00955,
        0.985666,
        1.001,
        1.02239,
        1.0173,
        1.01196,
        1.01553,
        1.00763,
        1.0188,
        1.02622,
        1.03627,
        1.03938,
        1.0091,
        0.990005,
        0.979447,
        0.985296,
        1.00464,
        1.02356,
        1.03756,
        1.0335,
        1.02576,
        1.02048,
        1.01704,
        1.00662,
        1.00743,
        1.00105,
        0.994092,
        1.00872,
        1.01207,
        1.0277,
        1.02726,
        1.01219,
        0.999932,
        1.0,
        1.00695,
        1.0059,
        1.00326,
        1.01229,
        1.01129,
        1.00429,
        1.00708,
        1.01621,
        1.0208,
        1.01113,
        0.990986,
        0.991913,
        1.00552,
        1.0146,
        1.01465,
        0.998094,
        1.00232,
        1.0285,
        1.06003,
        1.04514,
        1.0476,
        1.04043,
        1.03055,
        1.02709,
        1.02351,
        1.03822,
        1.05751,
        1.07428,
        1.08493,
        1.09323,
        1.1227,
        1.14694,
        1.1672,
        1.18539,
        1.19632,
        1.21153,
        1.23549,
        1.26632,
        1.30339,
        1.3514,
        1.35809,
        1.36644,
        1.37671,
        1.386,
        1.39063,
        1.36974,
        1.36351,
        1.36726,
        1.36911,
        1.35061,
        1.32128,
        1.32516,
        1.3524,
        1.38417,
        1.39407,
        1.37402,
        1.3756,
        1.36691,
        1.33809,
        1.30593,
        1.2727,
        1.26713,
        1.27977,
        1.28982,
        1.26934,
        1.24158,
        1.2284,
        1.20122,
        1.16919,
        1.17016,
        1.19588,
        1.18289,
        1.16822,
        1.15446,
        1.12677,
        1.10675,
        1.10403,
        1.09536,
        1.08531,
        1.0933,
        1.12642,
        1.10515,
        1.07938,
        1.05811,
        1.03457,
        1.00692,
        1.02057,
        1.04301,
        1.05682,
        1.05332,
        1.04548,
        1.0359,
        1.0282,
        1.01482,
        0.992348,
        0.994663,
        1.03228,
        1.06012,
        1.06336,
        1.039,
        0.999553,
        0.98119,
        0.9823,
        1.00723,
        1.04684,
        1.03902,
        0.991791,
        0.985671,
        1.01013,
        1.03527,
        1.02671,
        1.00479,
        0.992905,
        0.984669,
        0.975804,
        0.977858,
        1.0064,
        1.04367,
        1.08226,
        1.10029,
        1.03682,
        1.01413,
        1.0416,
        1.0743,
        1.07001,
        0.990789,
        0.977091,
        1.01819,
        1.06506,
        1.07883,
        1.04107,
        1.0442,
        0.962333,
        0.909616,
        0.929821,
        0.97336,
        1.00002,
        0.964096,
        0.918898,
        0.93005,
        1.07156,
        1.11276,
        1.06012,
        1.0111,
        0.986135,
        0.937463,
        0.898781,
        0.916457,
        0.95804,
        0.997573,
        1.01594,
        1.01368,
        0.997303,
        0.979468,
        null,
        1.0425,
        1.04743,
        1.0627,
        1.02723,
        0.985784,
        0.989812,
        0.971479,
        0.990893,
        1.01742,
        1.03345,
        1.0311,
        1.03162,
        0.988819,
        0.957388,
        0.955712,
        0.987359,
        1.02179,
        1.06482,
        1.05044,
        0.990908,
        0.925822,
        0.94143,
        1.04028,
        1.08331,
        1.07822,
        1.05241,
        1.0082,
        0.965596,
        0.934441,
        0.934449,
        0.967913,
        0.981752,
        1.06318,
        1.07099,
        1.02791,
        0.979995,
        0.996058,
        1.03078,
        1.04516,
        1.0366,
        1.01361,
        0.998546,
        1.01069,
        1.03215,
        1.04941,
        1.05038,
        1.0247,
        1.05828,
        1.05473,
        1.04748,
        1.05241,
        1.04276,
        1.0528,
        1.01273,
        0.973789,
        0.965152,
        0.976468,
        1.00671,
        1.01893,
        1.01734,
        1.00772,
        0.994708,
        1.02595,
        1.01724,
        0.995161,
        0.984278,
        1.00372,
        1.00092,
        0.99807,
        1.00637,
        1.02002,
        1.01291,
        1.02251,
        1.00312,
        0.983915,
        0.977244,
        0.977941,
        0.980412,
        0.984622,
        0.991211,
        0.997323,
        0.996738,
        0.973914,
        0.972872,
        0.96658,
        0.966827,
        1.01666,
        1.0487,
        1.04277,
        1.02219,
        1.00189,
        0.992286,
        1.03068,
        1.02225,
        1.00694,
        1.00447,
        1.01917,
        1.01261,
        1.0005,
        0.996246,
        0.995963,
        0.98711,
        0.989748,
        1.00313,
        1.0328,
        1.04934,
        1.01175,
        1.0026,
        0.989445,
        0.984367,
        0.998208,
        1.03603,
        1.03537,
        1.01108,
        1.01463,
        1.04126,
        1.06039,
        1.03018,
        1.02494,
        1.01588,
        1.00312,
        1.00152,
        1.05612,
        1.04662,
        1.03165,
        1.02357,
        1.02028,
        1.01096,
        1.01544,
        1.02297,
        1.02569,
        1.01811,
        1.00491,
        1.00365,
        1.01063,
        1.01729,
        1.0155,
        1.00627,
        1.01255,
        1.01915,
        1.02357,
        1.02478,
        1.01448,
        1.00913,
        1.01213,
        1.01666,
        1.01455,
        1.00254,
        1.01114,
        1.02947,
        1.03666,
        1.02381,
        1.03564,
        1.05086,
        1.03509,
        1.01672,
        1.02267,
        1.04537,
        1.02916,
        1.00066,
        0.981611,
        0.985667,
        1.00669,
        1.00619,
        1.01023,
        1.01864,
        1.01913,
        0.971952,
        0.93095,
        0.911005,
        0.932252,
        1.01022,
        1.02264,
        1.0237,
        1.01445,
        1.00015,
        1.00285,
        1.0206,
        1.02362,
        1.0228,
        1.02523,
        1.02471,
        1.05283,
        1.04923,
        1.03818,
        1.03721,
        1.04407,
        1.07017,
        1.08151,
        1.07984,
        1.07809,
        1.10685,
        1.15538,
        1.17873,
        1.18579,
        1.19255,
        1.22064,
        1.23427,
        1.26948,
        1.29934,
        1.30794,
        1.29565,
        1.31077,
        1.33467,
        1.33957,
        1.32918,
        1.34449,
        1.37042,
        1.35055,
        1.32244,
        1.31436,
        1.34742,
        1.33619,
        1.31594,
        1.31633,
        1.32971,
        1.31657,
        1.30836,
        1.30277,
        1.28836,
        1.26826,
        1.25719,
        1.26564,
        1.25205,
        1.25984,
        1.27843,
        1.25619,
        1.19794,
        1.19193,
        1.18357,
        1.1612,
        1.14435,
        1.15284,
        1.153,
        1.13836,
        1.11593,
        1.10216,
        1.1068,
        1.10652,
        1.0969,
        1.00055,
        1.01328,
        0.975829,
        0.994214,
        1.00644,
        1.00961,
        1.0246,
        1.02239,
        1.01967,
        1.01656,
        1.0078,
        0.991019,
        1.01462,
        1.01745,
        1.00858,
        0.997429,
        0.992977,
        0.98774,
        1.00145,
        1.00748,
        1.00226,
        0.991958,
        1.00196,
        1.00823,
        0.992155,
        0.985193,
        1.01793,
        1.02089,
        1.01758,
        1.02117,
        1.03089,
        1.03625,
        0.997384,
        1.01239,
        1.0395,
        1.04725,
        1.02212,
        1.03485,
        1.0202,
        1.00415,
        0.999624,
        1.01317,
        1.03182,
        1.03195,
        1.01137,
        0.997085,
        1.01289,
        1.02955,
        1.01644,
        1.00727,
        1.01515,
        1.03995,
        1.04089,
        1.03108,
        1.01983,
        1.01271,
        1.01642,
        1.04784,
        1.06111,
        1.04105,
        1.01683,
        1.01361,
        1.01839,
        1.0233,
        1.02314,
        1.03309,
        1.05429,
        1.0344,
        1.01832,
        1.01891,
        1.02141,
        1.01551,
        1.01536,
        1.0096,
        1.01344,
        1.02084,
        1.02222,
        1.00465,
        1.01117,
        1.01662,
        1.02696,
        1.03941,
        1.01945,
        1.00949,
        1.02243,
        1.03072,
        1.0212,
        1.01751,
        1.00998,
        1.00139,
        0.998992,
        1.00507,
        1.01209,
        1.03032,
        1.03754,
        1.03609,
        1.02967,
        1.01988,
        1.02074,
        1.02523,
        1.02186,
        1.01098,
        1.015,
        1.00681,
        1.01004,
        1.02063,
        1.03158,
        1.03301,
        1.0284,
        1.02877,
        1.03773,
        1.04565,
        1.02065,
        1.02268,
        1.01688,
        1.01274,
        1.016,
        1.0256,
        1.02346,
        0.998042,
        0.992367,
        1.01696,
        1.03551,
        1.02309,
        0.999903,
        0.99305,
        1.00647,
        1.01721,
        1.019,
        1.02524,
        1.02463,
        1.01879,
        1.02407,
        1.03611,
        1.03527,
        1.02063,
        1.00374,
        1.00842,
        1.00272,
        1.00174,
        1.00377,
        1.01026,
        1.02574,
        1.01376,
        0.996006,
        0.992898,
        1.00439,
        1.00991,
        1.00653,
        0.999688,
        1.00261,
        1.01548,
        1.02536,
        null,
        0.982349,
        0.984722,
        0.987096,
        0.989469,
        1.00951,
        0.990458,
        0.96906,
        0.994079,
        0.981714,
        0.980805,
        0.988521,
        0.983656,
        0.977733,
        0.99111,
        0.993161,
        0.978381,
        0.99476,
        1.00506,
        0.992096,
        0.968825,
        0.97153,
        0.95934,
        0.953904,
        0.981234,
        1.02575,
        1.03974,
        1.03478,
        1.00543,
        0.986121,
        0.974085,
        0.972809,
        0.993875,
        0.977943,
        0.982942,
        0.987817,
        0.997259,
        1.00813,
        1.00224,
        1.02207,
        0.994094,
        0.977567,
        0.98833,
        1.00654,
        0.980581,
        0.976854,
        0.990759,
        0.995978,
        0.996584,
        0.998948,
        0.990251,
        0.999243,
        1.00653,
        1.01649,
        1.01456,
        0.995432,
        0.994648,
        1.01214,
        1.02867,
        1.03435,
        1.02426,
        1.00117,
        0.981459,
        0.982097,
        0.996163,
        1.01068,
        1.01551,
        1.00811,
        1.00494,
        1.00686,
        1.0114,
        1.00811,
        1.00139,
        0.998579,
        0.967638,
        1.00855,
        1.01508,
        1.0071,
        1.00234,
        1.00022,
        0.998126,
        0.983802,
        0.995367,
        0.99887,
        0.987269,
        0.990106,
        1.00276,
        0.978335,
        0.983855,
        1.00178,
        1.01148,
        1.01259,
        1.04544,
        1.04142,
        1.02551,
        1.02619,
        1.04174,
        1.03479,
        1.04281,
        1.06258,
        1.07646,
        1.09178,
        1.11059,
        1.1182,
        1.15263,
        1.16259,
        1.16052,
        1.17014,
        1.19871,
        1.21834,
        1.23325,
        1.26138,
        1.26703,
        1.26572,
        1.27946,
        1.2992,
        1.2766,
        1.27961,
        1.2861,
        1.2795,
        1.26207,
        1.27296,
        1.26561,
        1.25958,
        1.25466,
        1.25185,
        1.25368,
        1.26476,
        1.21982,
        1.21791,
        1.22461,
        1.22333,
        1.21382,
        1.19594,
        1.2064,
        1.20088,
        1.18226,
        1.16229,
        1.15196,
        1.14805,
        1.16308,
        1.13981,
        1.11005,
        1.09469,
        1.09052,
        1.05904,
        1.06052,
        1.0619,
        1.06655,
        1.06652,
        1.04669,
        1.02563,
        1.05913,
        1.05326,
        1.03591,
        1.03217,
        1.04223,
        1.03239,
        1.03957,
        1.03234,
        1.02231,
        1.01345,
        0.998518,
        0.997728,
        1.02202,
        1.03566,
        1.03148,
        1.01635,
        1.0068,
        1.01692,
        1.02394,
        1.00603,
        0.995607,
        1.00843,
        1.02429,
        1.00607,
        1.01246,
        1.01912,
        1.01607,
        1.01007,
        1.02266,
        1.02567,
        1.02719,
        1.01618,
        1.00253,
        0.997991,
        1.00638,
        1.0137,
        1.02019,
        1.01247,
        1.00275,
        1.00372,
        1.0148,
        1.00757,
        0.990193,
        0.98706,
        0.985805,
        0.981203,
        1.00029,
        1.01772,
        1.01678,
        1.0056,
        0.987648,
        0.976028,
        1.00281,
        1.00296,
        1.02093,
        1.0156,
        0.995779,
        0.981373,
        0.974093,
        0.987604,
        0.987974,
        0.994546,
        0.996154,
        0.983876,
        0.98348,
        1.00636,
        1.01126,
        1.01582,
        0.996054,
        1.00945,
        1.02838,
        1.0324,
        1.01628,
        1.01014,
        1.01712,
        0.996011,
        0.992546,
        1.00295,
        0.999171,
        0.980096,
        0.967692,
        0.957109,
        0.952326,
        0.959643,
        0.972597,
        0.946312,
        0.986029,
        0.987306,
        0.991813,
        0.995882,
        0.982046,
        0.99583,
        0.992383,
        0.974424,
        0.946897,
        0.930029,
        0.946075,
        0.99547,
        1.02631,
        0.980749,
        0.945139,
        0.948034,
        0.969549,
        0.977147,
        1.0687,
        1.00621,
        0.917165,
        1.0003,
        1.05006,
        0.95947,
        0.998805,
        1.03644,
        1.03232,
        1.02437,
        1.06423,
        1.03559,
        1.03969,
        1.01497,
        0.996351,
        0.992134,
        0.9833,
        0.967855,
        1.00421,
        0.988767,
        0.957551,
        0.953167,
        0.991846,
        1.02576,
        1.01727,
        1.02389,
        1.0129,
        0.993167,
        0.99841,
        0.986676,
        1.02589,
        1.04088,
        1.03944,
        1.03065,
        1.01544,
        0.99127,
        0.985696,
        0.988064,
        0.998207,
        1.00653,
        0.99982,
        0.983676,
        0.986732,
        1.00092,
        1.00227,
        1.00262,
        1.03192,
        1.05977,
        1.02357,
        1.02708,
        1.03731,
        1.02996,
        1.00574,
        0.986329,
        1.03383,
        1.06967,
        1.06263,
        1.02496,
        0.995312,
        0.987037,
        0.974998,
        0.998066,
        1.01696,
        1.0173,
        1.00765,
        0.990623,
        1.0001,
        1.00997,
        1.00973,
        1.01292,
        1.03658,
        1.05182,
        1.03268,
        1.05295,
        1.0264,
        0.997366,
        1.04751,
        1.00441,
        0.969309,
        0.940179,
        0.959225,
        1.00044,
        1.00883,
        1.01932,
        1.01708,
        0.990525,
        0.985533,
        0.999618,
        1.00365,
        1.02179,
        1.00023,
        0.982637,
        0.98741,
        1.00563,
        1.00719,
        0.950907,
        0.983333,
        1.01979,
        1.00564,
        0.972464,
        0.976984,
        0.989617,
        1.00617,
        1.00229,
        0.992728,
        0.98806,
        0.995919,
        1.0308,
        0.995684,
        0.987645,
        1.00103,
        1.00916,
        0.995699,
        1.00765,
        1.02049,
        0.997261,
        0.985019,
        0.981641,
        0.970742,
        0.979483,
        1.00623,
        0.98863,
        0.981055,
        0.988108,
        0.996863,
        1.02857,
        1.04877,
        1.03776,
        1.00203,
        0.974317,
        0.983228,
        1.01206,
        0.992796,
        0.986133,
        0.995518,
        1.01664,
        1.03936,
        1.04875,
        1.00835,
        1.01585,
        0.986645,
        0.962921,
        0.995684,
        1.02625,
        1.00405,
        1.01202,
        1.02474,
        1.01057,
        0.978009,
        1.01989,
        0.9907,
        0.937728,
        0.969306,
        1.01028,
        0.994425,
        0.992791,
        0.927102,
        1.03964,
        1.06998,
        1.08536,
        1.02097,
        0.964606,
        0.973097,
        0.964821,
        0.96603,
        1.04689,
        1.02992,
        0.9855,
        0.963479,
        0.956763,
        0.960966,
        0.97316,
        0.964107,
        0.969764,
        1.00021,
        1.03558,
        1.04015,
        0.980454,
        0.975712,
        0.985553,
        0.990283,
        0.995107,
        0.978759,
        1.03463,
        1.0497,
        1.02774,
        0.996075,
        0.984506,
        1.00272,
        0.980734,
        0.960346,
        0.953574,
        0.966998,
        0.996385,
        1.01826,
        0.982217,
        0.987317,
        0.981983,
        0.964747,
        0.95155,
        0.920303,
        0.986452,
        1.033,
        0.998553,
        0.941468,
        0.94935,
        1.04589,
        1.00512,
        0.976187,
        0.973215,
        0.988227,
        1.02286,
        1.10237,
        1.0978,
        1.05056,
        1.0294,
        1.00982,
        0.975469,
        0.97479,
        0.978833,
        0.980411,
        0.972022,
        0.980753,
        1.01468,
        1.03643,
        0.969573,
        0.931901,
        0.960585,
        0.988668,
        0.979536,
        0.970086,
        1.01597,
        0.977076,
        0.971032,
        1.01225,
        1.05639,
        1.03323,
        0.940996,
        0.986889,
        0.995794,
        0.942806,
        0.902102,
        0.975452,
        1.09473,
        1.04127,
        0.931889,
        null,
        1.02167,
        0.996833,
        0.928447,
        0.931261,
        0.96161,
        0.977104,
        0.956876,
        0.902641,
        0.958325,
        0.990095,
        0.952314,
        0.911033,
        0.933672,
        0.989412,
        1.04277,
        1.00884,
        0.967527,
        0.946805,
        0.964149,
        1.04315,
        1.06055,
        1.04921,
        1.02379,
        1.00264,
        0.989922,
        0.975101,
        1.01706,
        1.02097,
        0.991744,
        0.98071,
        1.0044,
        1.02754,
        0.968381,
        0.979951,
        1.0011,
        0.99532,
        0.965721,
        0.94462,
        0.956144,
        0.977001,
        0.967568,
        0.993549,
        1.0403,
        1.04597,
        1.00909,
        1.00815,
        0.988568,
        0.998524,
        1.01425,
        1.00304,
        0.993457,
        1.03396,
        1.05061,
        1.01632,
        0.982262,
        0.989231,
        1.00183,
        1.00457,
        0.984101,
        0.981265,
        0.986702,
        0.993108,
        1.01066,
        0.999634,
        0.98263,
        1.00097,
        1.02052,
        1.01325,
        0.987686,
        1.03069,
        1.00837,
        0.990483,
        1.00124,
        1.02681,
        1.03605,
        1.02558,
        1.00354,
        1.02143,
        1.03624,
        1.03563,
        1.03075,
        1.02753,
        1.00727,
        1.01782,
        1.03908,
        1.04892,
        1.04439,
        1.05322,
        1.05223,
        1.06592,
        1.08781,
        1.10789,
        1.12603,
        1.15608,
        1.1416,
        1.13586,
        1.15738,
        1.19183,
        1.21663,
        1.21659,
        1.2117,
        1.21657,
        1.21706,
        1.21116,
        1.21399,
        1.24259,
        1.24881,
        1.25856,
        1.2634,
        1.26434,
        1.258,
        1.2435,
        1.23959,
        1.23991,
        1.24332,
        1.23714,
        1.22873,
        1.2288,
        1.2278,
        1.24129,
        1.23768,
        1.24212,
        1.24158,
        1.21794,
        1.17437,
        1.16888,
        1.16189,
        1.15448,
        1.13582,
        1.11459,
        1.11901,
        1.11275,
        1.08345,
        1.074,
        1.07741,
        1.08699,
        1.10026,
        1.08296,
        1.05434,
        1.02486,
        1.02538,
        1.04008,
        1.03424,
        1.03616,
        1.00848,
        1.00253,
        1.00039,
        0.998761,
        0.998834,
        0.991012,
        1.01762,
        1.01163,
        1.01992,
        1.02757,
        1.01823,
        1.01234,
        1.00087,
        1.00489,
        1.00357,
        0.991695,
        0.978204,
        0.980073,
        1.00229,
        1.03211,
        1.02159,
        0.991551,
        0.97179,
        0.97912,
        0.986542,
        0.977044,
        0.991461,
        1.00475,
        1.00011,
        0.982403,
        0.99253,
        1.00667,
        1.0031,
        0.999875,
        1.00483,
        1.01552,
        1.02101,
        1.0454,
        1.04891,
        1.04244,
        1.02011,
        0.998939,
        1.02519,
        1.03476,
        1.0175,
        1.00815,
        1.00278,
        0.993399,
        0.983975,
        1.01937,
        1.02766,
        1.02931,
        1.02614,
        1.02323,
        1.02356,
        1.00994,
        0.994326,
        0.981527,
        0.996416,
        1.02483,
        1.03915,
        1.04132,
        1.0147,
        0.984042,
        0.973971,
        0.984109,
        0.996924,
        0.992245,
        1.00623,
        1.00903,
        1.0082,
        0.997458,
        0.984007,
        0.989457,
        1.01117,
        0.999522,
        0.998991,
        1.00443,
        1.00788,
        1.00683,
        1.00163,
        0.99656,
        0.993431,
        1.00088,
        1.01633,
        1.02618,
        1.01153,
        0.988984,
        1.01351,
        1.02439,
        1.01884,
        1.014,
        1.00929,
        0.976703,
        0.978522,
        1.00404,
        1.00803,
        0.991167,
        1.00777,
        1.00584,
        1.01227,
        1.00307,
        0.988379,
        0.985744,
        1.00352,
        1.01678,
        1.01336,
        1.01005,
        1.01119,
        1.01275,
        1.01031,
        1.00941,
        1.02865,
        1.02121,
        1.03351,
        1.04808,
        1.03557,
        0.997227,
        1.0015,
        1.0133,
        1.02411,
        1.02298,
        1.01038,
        1.00485,
        1.04956,
        1.02608,
        0.991998,
        0.982922,
        1.00421,
        1.02815,
        1.00415,
        1.01422,
        1.02628,
        1.0188,
        1.00814,
        1.01477,
        1.01282,
        0.98655,
        0.993013,
        1.00467,
        1.01622,
        1.03076,
        1.04711,
        1.03283,
        1.03512,
        1.02587,
        1.00241,
        0.985899,
        1.00821,
        1.04789,
        1.00995,
        0.997626,
        1.01007,
        1.01942,
        1.0026,
        0.996577,
        1.01987,
        1.02247,
        1.02229,
        1.02368,
        1.02424,
        1.02609,
        1.01741,
        0.998647,
        0.999978,
        1.01024,
        1.01761,
        1.02886,
        1.03682,
        1.01302,
        1.00192,
        1.01113,
        1.02753,
        1.03116,
        1.03249,
        1.00785,
        0.990707,
        0.994287,
        0.99457,
        0.986748,
        1.00042,
        1.00935,
        1.01972,
        1.02546,
        1.00592,
        0.97451,
        0.978347,
        0.988695,
        1.01072,
        1.01981,
        1.01408,
        1.00666,
        1.00801,
        0.989912,
        1.00367,
        0.996108,
        0.993519,
        1.00316,
        1.01419,
        1.00756,
        1.00048,
        0.995107,
        1.00065,
        1.005,
        1.0006,
        0.996582,
        1.02017,
        1.01575,
        1.01315,
        1.02711,
        1.03781,
        1.01334,
        0.989249,
        0.99599,
        1.00513,
        1.00574,
        0.995947,
        0.989963,
        1.02648,
        1.02418,
        1.00667,
        1.00458,
        1.00072,
        0.986924,
        0.993482,
        1.03158,
        1.04143,
        1.02696,
        1.00018,
        0.98282,
        0.992714,
        0.993158,
        1.01035,
        1.00413,
        0.998239,
        0.995191,
        0.988642,
        0.997024,
        0.984098,
        0.99851,
        0.9995,
        0.990652,
        0.99107,
        1.00778,
        1.00044,
        1.00833,
        0.991925,
        1.00553,
        0.986109,
        0.997193,
        0.997948,
        0.997482,
        1.00927,
        1.01158,
        0.996665,
        1.00185,
        1.00777,
        1.00902,
        1.00637,
        1.00209,
        0.992878,
        0.988582,
        0.99363,
        0.998608,
        1.00419,
        1.01193,
        0.999478,
        1.0118,
        0.997775,
        1.00133,
        1.00167,
        0.986106,
        1.0046,
        1.00631,
        0.973785,
        0.989944,
        1.01454,
        1.01134,
        0.993412,
        1.01229,
        1.01922,
        1.01111,
        1.00479,
        1.009,
        1.01518,
        0.987298,
        0.931145,
        0.927486,
        0.874486,
        0.960429,
        0.990622,
        0.997828,
        0.996579,
        1.00601,
        1.02662,
        1.01062,
        0.985212,
        0.995741,
        1.01369,
        0.995302,
        0.995001,
        0.986032,
        0.975409,
        0.971331,
        0.977905,
        0.983485,
        0.962925,
        0.995246,
        0.994668,
        1.00281,
        0.998576,
        0.981524,
        0.982619,
        1.02083,
        1.04085,
        1.03643,
        1.02423,
        1.01207,
        1.00283,
        1.00518,
        1.0215,
        0.996986,
        0.990176,
        1.00518,
        1.02238,
        1.02404,
        0.999712,
        1.01041,
        1.02404,
        1.0216,
        1.01556,
        1.02997,
        1.01805,
        0.990802,
        0.993016,
        0.995483,
        0.997168,
        1.00432,
        0.997276,
        0.971866,
        0.991936,
        1.02452,
        1.03925,
        1.02432,
        0.99575,
        1.01559,
        0.988191,
        0.983035,
        0.990964,
        1.00334,
        1.01826,
        1.01934,
        1.01042,
        0.990528,
        0.991287,
        0.997656,
        0.98923,
        0.978928,
        1.00184,
        1.01702,
        1.01685,
        0.998012,
        0.987373,
        1.02282,
        1.02739,
        1.02068,
        1.02746,
        1.02186,
        1.01352,
        1.02043,
        1.00926,
        0.98547,
        0.979737,
        0.991896,
        1.00411,
        1.00531,
        1.00438,
        0.992497,
        1.00418,
        1.0289,
        1.03138,
        1.00643,
        0.986156,
        1.01299,
        0.997808,
        0.99113,
        null,
        0.896233,
        0.912528,
        0.928823,
        0.931765,
        0.916515,
        0.921743,
        0.892708,
        0.905156,
        0.93539,
        0.952529,
        0.940603,
        0.916636,
        0.916259,
        0.939412,
        0.951501,
        0.949729,
        0.953424,
        0.957922,
        0.879513,
        0.827516,
        0.847662,
        0.867543,
        0.86702,
        0.876782,
        0.906193,
        0.925022,
        0.907476,
        0.933182,
        0.940236,
        0.941463,
        0.918528,
        0.914992,
        0.927619,
        0.928415,
        0.917071,
        0.917631,
        0.91968,
        0.897645,
        0.92818,
        0.892037,
        0.871582,
        0.868316,
        0.877761,
        0.890817,
        0.894438,
        0.890034,
        0.898776,
        0.901257,
        0.883327,
        0.939716,
        0.934345,
        0.904756,
        0.880608,
        0.876397,
        0.889065,
        0.886603,
        0.847667,
        0.888656,
        0.908062,
        0.941779,
        0.937321,
        0.925891,
        0.946307,
        0.945583,
        0.917277,
        0.930007,
        0.92853,
        0.898762,
        0.880617,
        0.919784,
        0.937445,
        0.924392,
        0.902112,
        0.898591,
        0.942725,
        1.01574,
        1.02498,
        0.997032,
        0.892916,
        0.923235,
        0.913999,
        0.88122,
        0.878509,
        0.880867,
        0.880822,
        0.912645,
        0.934522,
        0.943816,
        0.869797,
        0.903776,
        0.948479,
        0.9429,
        0.891691,
        0.889917,
        0.985672,
        1.05708,
        0.954089,
        0.990999,
        0.959078,
        0.889739,
        0.979245,
        0.97664,
        0.915699,
        0.894288,
        0.91503,
        0.922468,
        0.902434,
        0.83421,
        0.816158,
        0.89762,
        0.910749,
        0.933135,
        0.974384,
        1.0178,
        0.993068,
        0.904042,
        0.977352,
        1.15572,
        0.9474,
        0.79908,
        0.928823,
        1.01747,
        1.18409,
        1.33432,
        1.18562,
        0.811605,
        0.751136,
        0.893201,
        1.02869,
        1.15381,
        1.45621,
        1.13567,
        0.736772,
        0.499667,
        0.535672,
        1.27325,
        0.727233,
        null,
        0.219,
        0.324518,
        0.945195,
        1.08914,
        1.04042,
        1.22872,
        1.26122,
        0.952069,
        0.334985,
        0.244857,
        0.848124,
        0.393496,
        0.0578788,
        -0.0132492,
        0.491209,
        0.474414,
        0.828571,
        1.05007,
        0.976691,
        0.572742,
        0.531494,
        0.556488,
        0.858858,
        0.810647,
        0.965307,
        0.833235,
        0.706908,
        0.697352,
        0.703527,
        0.75625,
        1.0336,
        1.04937,
        1.09693,
        0.973307,
        0.964769,
        0.899584,
        0.882711,
        0.922944,
        0.876681,
        0.810793,
        0.837527,
        1.0054,
        0.970725,
        1.02304,
        1.10711,
        0.990643,
        0.817495,
        0.841753,
        0.941805,
        0.954612,
        0.912164,
        0.804382,
        0.796224,
        0.896692,
        0.919347,
        0.90641,
        0.944284,
        0.942317,
        0.852013,
        0.816266,
        0.875402,
        0.87254,
        0.9498,
        0.984125,
        0.984162,
        0.99498,
        0.981067,
        0.919133,
        0.92938,
        1.12406,
        1.05596,
        0.948724,
        0.847673,
        0.790159,
        0.836077,
        0.928693,
        0.878316,
        0.831098,
        0.925373,
        0.970236,
        0.889123,
        0.926802,
        0.917711,
        0.844976,
        0.893053,
        1.04011,
        1.03054,
        0.906156,
        0.947072,
        0.966647,
        0.888746,
        0.830343,
        0.865975,
        0.990571,
        1.10766,
        0.954218,
        0.959542,
        0.964361,
        0.943198,
        0.942957,
        0.863934,
        0.813416,
        0.866298,
        0.913923,
        1.01941,
        0.984998,
        0.906638,
        0.835485,
        0.769875,
        0.829848,
        0.896244,
        0.868799,
        0.866976,
        0.939052,
        0.957928,
        0.799907,
        0.756118,
        0.798033,
        0.798491,
        0.830871,
        0.938644,
        1.00822,
        0.968307,
        1.0662,
        0.988075,
        0.809898,
        0.913933,
        0.973023,
        0.900556,
        0.847391,
        0.926175,
        1.03178,
        0.862961,
        0.823956,
        1.00905,
        0.933818,
        0.880426,
        0.907002,
        0.905649,
        0.835087,
        0.787556,
        0.876693,
        0.792881,
        0.970935,
        0.975967,
        0.941574,
        0.93883,
        0.932401,
        0.877192,
        0.812428,
        0.934151,
        0.88536,
        0.964864,
        0.95573,
        0.764429,
        0.740804,
        0.77437,
        0.602767,
        0.673728,
        0.872176,
        0.783962,
        0.946488,
        0.952414,
        1.0294,
        1.08039,
        1.02651,
        0.877232,
        0.636421,
        0.859585,
        0.79202,
        0.765435,
        0.866234,
        0.934133,
        0.907747,
        0.837956,
        0.832343,
        0.989147,
        1.26505,
        1.6461,
        1.11743,
        0.590701,
        0.409472,
        0.601988,
        0.917925,
        1.04386,
        0.910259,
        0.746474,
        0.884071,
        0.903571,
        0.75219,
        0.822067,
        0.876961,
        0.66331,
        0.458202,
        0.768073,
        0.692866,
        0.519863,
        0.619617,
        0.145565,
        0.0973906,
        -0.254082,
        -0.504905,
        -0.338967,
        -0.277325,
        -0.781939,
        -0.570395,
        -0.260288,
        -0.0622099,
        -0.227613,
        null,
        0.91277,
        1.19285,
        0.97085,
        0.722064,
        0.734706,
        0.756938,
        0.642197,
        0.90673,
        1.14382,
        0.925098,
        0.86698,
        0.841123,
        0.851819,
        0.906232,
        0.904515,
        0.972052,
        1.22812,
        1.06405,
        0.826649,
        0.777266,
        0.787922,
        0.851738,
        1.07382,
        1.26845,
        1.23028,
        1.15886,
        1.22565,
        1.09663,
        0.853075,
        0.727526,
        0.86573,
        1.14567,
        1.05076,
        0.808195,
        1.00235,
        1.01708,
        0.903681,
        0.810773,
        0.820433,
        0.896674,
        0.889899,
        0.787119,
        0.813532,
        0.949244,
        0.991946,
        0.937095,
        0.91601,
        0.974041,
        0.954698,
        0.979259,
        0.856371,
        0.815838,
        0.936982,
        1.05728,
        1.08083,
        1.04473,
        1.01737,
        1.00332,
        1.02536,
        0.962781,
        0.959381,
        0.955536,
        1.0023,
        1.05969,
        0.987401,
        0.986419,
        1.06128,
        1.00376,
        0.888527,
        0.860197,
        0.900008,
        0.922819,
        0.901592,
        0.902846,
        0.995139,
        1.00214,
        0.959768,
        0.963615,
        1.0185,
        1.02507,
        0.950586,
        0.957537,
        0.991981,
        1.04591,
        0.926706,
        0.885655,
        0.858018,
        0.874332,
        0.957963,
        0.973619,
        0.960451,
        1.00512,
        1.01667,
        1.0292,
        1.01189,
        1.01804,
        1.06748,
        1.08257,
        1.00802,
        0.950878,
        0.982554,
        0.962134,
        1.02737,
        1.07524,
        1.06659,
        1.06068,
        1.06733,
        1.02195,
        0.911081,
        0.931348,
        0.990539,
        0.965262,
        0.972025,
        1.00626,
        1.00689,
        0.974474,
        1.00415,
        1.01819,
        0.933602,
        0.956892,
        0.985988,
        0.970335,
        0.971727,
        1.02469,
        1.05207,
        1.11391,
        0.998046,
        1.00747,
        1.14724,
        1.13875,
        0.932984,
        0.783319,
        0.927284,
        0.956447,
        0.924629,
        0.850339,
        0.82034,
        0.90767,
        0.984867,
        0.955468,
        0.906643,
        0.939464,
        0.983002,
        1.0277,
        1.01839,
        1.0318,
        1.05288,
        1.04195,
        1.00763,
        0.986579,
        0.952516,
        0.939312,
        0.962255,
        0.951165,
        0.936339,
        0.95639,
        0.98448,
        0.962317,
        0.984708,
        0.993621,
        0.99496,
        0.990568,
        0.988103,
        0.975806,
        1.03894,
        1.0226,
        0.981636,
        0.932299,
        0.945255,
        0.968817,
        0.972305,
        0.975718,
        1.00128,
        1.0866,
        1.05084,
        1.04396,
        1.0113,
        0.995648,
        1.00885,
        1.03354,
        1.06828,
        1.01509,
        0.971545,
        0.983089,
        1.02665,
        1.06399,
        1.08029,
        1.05949,
        0.980032,
        0.977611,
        0.994362,
        0.980344,
        0.989383,
        1.00763,
        1.0187,
        1.0174,
        1.00063,
        0.975507,
        0.951028,
        0.944144,
        0.981374,
        1.02083,
        1.03658,
        1.04648,
        1.08618,
        1.11371,
        1.04378,
        1.01852,
        1.04594,
        1.06877,
        1.06572,
        1.05926,
        1.06651,
        1.04571,
        1.03637,
        1.00524,
        0.986906,
        0.989048,
        1.00799,
        1.0345,
        1.05084,
        1.02864,
        1.04522,
        1.0272,
        0.997337,
        0.98887,
        1.00899,
        1.03286,
        1.02959,
        1.03913,
        1.01356,
        0.974567,
        0.998765,
        1.05008,
        1.0689,
        1.03256,
        0.979337,
        0.977661,
        0.992691,
        0.991865,
        0.989638,
        1.00404,
        1.03119,
        1.05683,
        1.07112,
        1.01638,
        1.00266,
        1.03587,
        1.03814,
        1.02851,
        1.027,
        1.03802,
        1.06688,
        1.02465,
        1.00273,
        1.05277,
        1.04136,
        1.03102,
        1.06606,
        1.08512,
        1.00425,
        0.918595,
        0.927984,
        1.006,
        1.05986,
        1.08924,
        1.07256,
        0.98608,
        0.921501,
        0.990446,
        0.981341,
        1.06677,
        1.08163,
        1.03195,
        0.969431,
        0.925403,
        0.944793,
        0.942081,
        0.99231,
        0.999705,
        1.02929,
        1.11941,
        1.15651,
        1.02903,
        0.963985,
        1.02407,
        1.05483,
        1.05027,
        1.06376,
        1.08062,
        1.07348,
        1.05288,
        1.04172,
        1.02814,
        1.02355,
        1.03669,
        1.07094,
        1.07639,
        1.0344,
        1.00784,
        1.06445,
        1.04002,
        1.05507,
        1.05873,
        1.07589
    ],
    "flux_error": [
        0.0130388,
        0.0117161,
        0.0103935,
        0.00907084,
        0.00810043,
        0.00807149,
        0.00921901,
        0.00867729,
        0.00837682,
        0.00803647,
        0.0078248,
        0.00796278,
        0.00826096,
        0.00839362,
        0.00878969,
        0.00855211,
        0.00876398,
        0.00895024,
        0.00849673,
        0.00875847,
        0.00893492,
        0.00859005,
        0.008269,
        0.00828298,
        0.00841539,
        0.00828215,
        0.00818175,
        0.00871078,
        0.00878121,
        0.00897307,
        0.00925334,
        0.0092727,
        0.00885425,
        0.00935526,
        0.0110822,
        0.0108292,
        0.0103061,
        0.0102225,
        0.0107679,
        0.0120139,
        0.0118222,
        0.012916,
        0.0129427,
        0.0130153,
        0.0137757,
        0.0149027,
        0.0154499,
        0.0168439,
        0.0194574,
        0.023102,
        0.029555,
        0.0411497,
        0.0583899,
        0.076969,
        0.0950161,
        0.11495,
        0.0798758,
        0.0506691,
        0.0384998,
        0.0325468,
        0.0265451,
        0.0214576,
        0.0182976,
        0.0153775,
        0.0146612,
        0.0138847,
        0.0128556,
        0.0116562,
        0.0104641,
        0.00978191,
        0.0103269,
        0.0104164,
        0.0102925,
        0.00965627,
        0.00943988,
        0.009137,
        0.00811593,
        0.00780202,
        0.00933824,
        0.00873493,
        0.00864082,
        0.00827873,
        0.00803255,
        0.00876766,
        0.00855891,
        0.00818126,
        0.00782396,
        0.00808474,
        0.0080282,
        0.00778214,
        0.00832249,
        0.00838381,
        0.00775852,
        0.00768233,
        0.0077367,
        0.00774312,
        0.00744538,
        0.00670678,
        0.00693526,
        0.0074891,
        0.00781748,
        0.00791231,
        0.00817084,
        0.00821157,
        0.0068997,
        0.00704081,
        0.00708908,
        0.0066817,
        0.00671573,
        0.00688806,
        0.00684235,
        0.00731551,
        0.00707272,
        0.00700237,
        0.00671338,
        0.00684418,
        0.00743226,
        0.00787653,
        0.00751488,
        0.00757805,
        0.0072183,
        0.00679184,
        0.00696996,
        0.00751523,
        0.0077875,
        0.00830286,
        0.00775932,
        0.00723368,
        0.00675629,
        0.00668763,
        0.00658117,
        0.00582806,
        0.00646012,
        0.00675849,
        0.00717845,
        0.00669063,
        0.00672822,
        0.007308,
        0.0063882,
        0.0061091,
        0.00773046,
        0.0073583,
        0.00711445,
        0.00756769,
        0.00819577,
        0.00843851,
        0.00844086,
        0.00842712,
        0.0076151,
        0.0073789,
        0.00743124,
        0.00696575,
        0.00638428,
        0.00644772,
        0.00628406,
        0.00660675,
        0.00668121,
        0.0066356,
        0.00686419,
        0.0070472,
        0.00704957,
        0.00623962,
        0.00643428,
        0.00647402,
        0.00646164,
        0.00695069,
        0.00651954,
        0.00706715,
        0.00658093,
        0.0062798,
        0.00648329,
        0.00653704,
        0.00598138,
        0.0066618,
        0.00676689,
        0.00674456,
        0.00671781,
        0.00597229,
        0.00542402,
        0.00654177,
        0.0072684,
        0.00678473,
        0.00621689,
        0.00684683,
        0.00772657,
        0.00812344,
        0.00829332,
        0.00781791,
        0.00917512,
        0.00878576,
        0.00894794,
        0.0092516,
        0.00962841,
        0.010909,
        0.0108567,
        0.0100812,
        0.0119119,
        0.0130351,
        0.0134369,
        0.0138981,
        0.0140701,
        0.0145553,
        0.0131801,
        0.0110452,
        0.00881859,
        0.00766407,
        0.00737973,
        0.00620515,
        0.00712724,
        0.00800313,
        0.00855016,
        0.00922669,
        0.00952439,
        0.00884023,
        0.00766371,
        0.00844281,
        0.0082171,
        0.00868803,
        0.00948012,
        0.00951966,
        0.00861717,
        0.00851029,
        0.00933165,
        0.00986881,
        0.00898112,
        0.0101447,
        0.0122501,
        0.0136366,
        0.0173778,
        0.0215645,
        0.0261316,
        0.0428359,
        0.0619537,
        0.0684845,
        0.0559218,
        0.0358672,
        0.0223959,
        0.0210717,
        0.017827,
        0.0143593,
        0.0133046,
        0.0136577,
        0.0112774,
        0.0104019,
        0.0092188,
        0.00891123,
        0.00933909,
        0.00970612,
        0.00916901,
        0.00779002,
        0.00973354,
        0.00962276,
        0.00977741,
        0.00981701,
        0.00949914,
        0.00894682,
        0.00774214,
        0.00761133,
        0.00753259,
        0.00734701,
        0.00739561,
        0.00727747,
        0.00677257,
        0.00789251,
        0.0072147,
        0.0073472,
        0.00714869,
        0.00689471,
        0.00751329,
        0.00897685,
        0.00813801,
        0.00740918,
        0.00759792,
        0.00746913,
        0.00749773,
        0.00759873,
        0.00720292,
        0.00709205,
        0.00715775,
        0.00704799,
        0.0069882,
        0.00728724,
        0.00751573,
        0.00706356,
        0.00699777,
        0.00751279,
        0.00768725,
        0.00822525,
        0.00782448,
        0.00683707,
        0.00693499,
        0.00714307,
        0.0075228,
        0.00764436,
        0.00744001,
        0.0077757,
        0.00833202,
        0.00790902,
        0.00668832,
        0.00826287,
        0.00792348,
        0.00726257,
        0.00738109,
        0.00756473,
        0.00670378,
        0.00678121,
        0.00802536,
        0.00785263,
        0.00750596,
        0.00759537,
        0.00790293,
        0.0078549,
        0.00762846,
        0.00791854,
        0.00882781,
        0.0085287,
        0.00755201,
        0.00692297,
        0.00707508,
        0.00744626,
        0.00738124,
        0.00762315,
        0.00793202,
        0.00785687,
        0.00733103,
        0.00692058,
        0.00773364,
        0.00764287,
        0.00750468,
        0.00759091,
        0.00758495,
        0.00761845,
        0.00770234,
        0.0062459,
        0.00792954,
        0.00824218,
        0.00817007,
        0.00855794,
        0.00829371,
        0.00657186,
        0.0070536,
        0.00784703,
        0.00698147,
        0.00717294,
        0.00767119,
        0.00785843,
        0.00794432,
        0.00819869,
        0.00777583,
        0.00762906,
        0.00764148,
        0.00762336,
        0.00740998,
        0.00703791,
        0.00686234,
        0.00686342,
        0.00680499,
        0.00782207,
        0.00841852,
        0.00792919,
        0.00730482,
        0.0084065,
        0.00865178,
        0.00742342,
        0.00746417,
        0.00781812,
        0.00770362,
        0.00730913,
        0.00721,
        0.00693413,
        0.00736257,
        0.00768975,
        0.00764831,
        0.00738828,
        0.00725647,
        0.00733434,
        0.00601276,
        0.00659829,
        0.00710349,
        0.00779693,
        0.007846,
        0.00717256,
        0.00826288,
        0.00995288,
        0.0108556,
        0.010578,
        0.0134986,
        0.0245392,
        0.0381054,
        0.0342021,
        0.0143143,
        0.00870418,
        0.00666385,
        0.00668764,
        0.00700803,
        0.00660791,
        0.00628654,
        0.00732526,
        0.00661402,
        0.00660578,
        0.00651874,
        0.00634392,
        0.00653364,
        0.00716319,
        0.00681471,
        0.00793316,
        0.00738466,
        0.00665862,
        0.00671699,
        0.00718427,
        0.00687825,
        0.00599291,
        0.0076797,
        0.00765113,
        0.00760618,
        0.00749567,
        0.00722915,
        0.00727026,
        0.00741084,
        0.00864068,
        0.00709683,
        0.00703543,
        0.00720689,
        0.00700223,
        0.00730963,
        0.00627068,
        0.00681859,
        0.00652812,
        0.00670385,
        0.00656084,
        0.00630251,
        0.00671151,
        0.00668107,
        0.00656329,
        0.00771824,
        0.00697741,
        0.00649216,
        0.0069153,
        0.00711589,
        0.00684384,
        0.00613466,
        0.00609001,
        0.00612473,
        0.00604358,
        0.00605795,
        0.00626988,
        0.00618776,
        0.00591139,
        0.00628409,
        0.00572888,
        0.00619653,
        0.00710358,
        0.00701171,
        0.00627427,
        0.00720168,
        0.00705111,
        0.0061325,
        0.00628937,
        0.00726174,
        0.00745575,
        0.00594939,
        0.00647317,
        0.00737733,
        0.0068192,
        0.00613532,
        0.00587578,
        0.00612303,
        0.00669645,
        0.0065099,
        0.00724494,
        0.00770328,
        0.00731529,
        0.00686394,
        0.00678572,
        0.0068219,
        0.00712446,
        0.00721563,
        0.00667116,
        0.0072164,
        0.00724171,
        0.00642382,
        0.00617122,
        0.00700574,
        0.00644607,
        0.00678152,
        0.00731472,
        0.00724772,
        0.00717294,
        0.00760314,
        0.00699231,
        0.00742944,
        0.00776124,
        0.00852111,
        0.00819172,
        0.00776208,
        0.00837687,
        0.00876778,
        0.00936542,
        0.0103606,
        0.00981098,
        0.00919521,
        0.00879128,
        0.0084778,
        0.00840691,
        0.00707866,
        0.00766571,
        0.00778502,
        0.00788694,
        0.00814607,
        0.00831005,
        0.00817058,
        0.00864143,
        0.00963252,
        0.00797943,
        0.00923075,
        0.00966572,
        0.00901376,
        0.0101838,
        0.00850522,
        0.00707921,
        0.00829864,
        0.00919129,
        0.00904912,
        0.00924548,
        0.0104073,
        0.0095559,
        0.00848995,
        0.00821246,
        0.00768019,
        0.00730012,
        0.00695055,
        0.00673514,
        0.00760544,
        0.00750437,
        0.00677335,
        0.00695548,
        0.00686063,
        0.00745496,
        0.00842278,
        0.00720451,
        0.00763559,
        0.0074598,
        0.00714496,
        0.00717642,
        0.00713532,
        0.00678867,
        0.00656562,
        0.00704239,
        0.00748606,
        0.00749048,
        0.00712592,
        0.00710157,
        0.00723491,
        0.00709758,
        0.00779002,
        0.0064186,
        0.00708218,
        0.00739719,
        0.00754816,
        0.00787872,
        0.00796648,
        0.0068384,
        0.00679132,
        0.00843465,
        0.00855603,
        0.00824578,
        0.00843261,
        0.00860985,
        0.00753108,
        0.00770536,
        0.00849524,
        0.00823127,
        0.00908094,
        0.00936941,
        0.0089545,
        0.00980538,
        0.00932444,
        0.0102347,
        0.00898105,
        0.00909462,
        0.00972781,
        0.00989643,
        0.00994282,
        0.0107742,
        0.0100936,
        0.010598,
        0.0109137,
        0.011814,
        0.0129727,
        0.0137374,
        0.0139362,
        0.00770119,
        0.0266689,
        0.0294131,
        0.0396702,
        0.0506042,
        0.065425,
        0.0691128,
        0.0600299,
        0.0490175,
        0.0396926,
        0.0309135,
        0.0220156,
        0.018986,
        0.0163629,
        0.0154611,
        0.0144148,
        0.0128788,
        0.0114022,
        0.0106196,
        0.0105051,
        0.0102954,
        0.0102563,
        0.0110095,
        0.0105876,
        0.00967469,
        0.00956988,
        0.00990304,
        0.0108707,
        0.0106642,
        0.00988062,
        0.00952447,
        0.0101977,
        0.0111667,
        0.0110817,
        0.010704,
        0.0126488,
        0.013897,
        0.0160703,
        0.0196834,
        0.0255801,
        0.0305041,
        0.0225055,
        0.0176763,
        0.0146786,
        0.0148574,
        0.0137257,
        0.0116171,
        0.0103128,
        0.00864825,
        0.00831367,
        0.00821356,
        0.00813279,
        0.00815122,
        0.00845396,
        0.00837936,
        0.00739707,
        0.00881569,
        0.008138,
        0.00784859,
        0.00745992,
        0.0072994,
        0.00747642,
        0.00761627,
        0.00736623,
        0.00826376,
        0.00720807,
        0.00734131,
        0.00720177,
        0.00697595,
        0.00750463,
        0.00811266,
        0.00674963,
        0.00682436,
        0.00727434,
        0.00744366,
        0.00716781,
        0.0070342,
        0.00755554,
        0.00712359,
        0.00627137,
        0.00643512,
        0.00609246,
        0.00632723,
        0.00712882,
        0.00744111,
        0.00726281,
        0.00773756,
        0.00654101,
        0.00660206,
        0.00681547,
        0.00705751,
        0.00743665,
        0.00731143,
        0.00762547,
        0.00695831,
        0.00690798,
        0.00715994,
        0.00747018,
        0.00749701,
        0.00695476,
        0.00620693,
        0.00573861,
        0.00721826,
        0.0069697,
        0.00651598,
        0.00657156,
        0.00653775,
        0.0061995,
        0.00548008,
        0.00577642,
        0.00547976,
        0.00571703,
        0.00623068,
        0.00663701,
        0.00705211,
        0.00602796,
        0.00672129,
        0.00679691,
        0.00728087,
        0.00870104,
        0.00796949,
        0.00747413,
        0.0074994,
        0.00725151,
        0.00739497,
        0.00714296,
        0.00687313,
        0.00702399,
        0.00752131,
        0.00729836,
        0.00697322,
        0.00741294,
        0.00723827,
        0.00714161,
        0.007422,
        0.00753518,
        0.00695434,
        0.00716729,
        0.00693447,
        0.00728125,
        0.00725213,
        0.00692308,
        0.00681785,
        0.00705931,
        0.00813181,
        0.00783232,
        0.00794301,
        0.00743995,
        0.00703883,
        0.00675675,
        0.00699451,
        0.00863487,
        0.00814774,
        0.00773997,
        0.00808657,
        0.00753016,
        0.00744246,
        0.00778024,
        0.0073889,
        0.00831576,
        0.00827896,
        0.0074356,
        0.00742284,
        0.0075117,
        0.00741732,
        0.00722688,
        0.00694223,
        0.00743385,
        0.00770748,
        0.00759916,
        0.0072791,
        0.00750372,
        0.0080934,
        0.00823252,
        0.00772197,
        0.00823598,
        0.00752044,
        0.00843583,
        0.00852478,
        0.0088125,
        0.00944965,
        0.00906677,
        0.00990083,
        0.00966765,
        0.00985197,
        0.0103017,
        0.0107021,
        0.0110457,
        0.0112727,
        0.0104229,
        0.0111044,
        0.0113802,
        0.0110093,
        0.011666,
        0.0123787,
        0.0119584,
        0.0128849,
        0.0132306,
        0.014031,
        0.0143225,
        0.0156333,
        0.0171569,
        0.0191123,
        0.0230219,
        0.0260239,
        0.0308866,
        0.0381768,
        0.065083,
        0.0904909,
        0.0749919,
        0.0533821,
        0.0397249,
        0.0349046,
        0.0237807,
        0.0198356,
        0.0204901,
        0.0194962,
        0.0179706,
        0.0149219,
        0.0142146,
        0.0132389,
        0.0133777,
        0.0125316,
        0.0114048,
        0.0108947,
        0.0102209,
        0.00955692,
        0.00986749,
        0.010231,
        0.00942287,
        0.00920308,
        0.00887683,
        0.0089315,
        0.00908366,
        0.00880408,
        0.00897893,
        0.00880531,
        0.00905335,
        0.00904787,
        0.00835051,
        0.00778284,
        0.00811006,
        0.0076808,
        0.00831522,
        0.00796475,
        0.00803362,
        0.00793694,
        0.0078475,
        0.00762791,
        0.00695612,
        0.00738633,
        0.00775954,
        0.00852451,
        0.00854068,
        0.00855444,
        0.0084921,
        0.0077528,
        0.00790505,
        0.00784437,
        0.0083363,
        0.00831849,
        0.00779655,
        0.00733991,
        0.00758204,
        0.00815276,
        0.00883378,
        0.00816884,
        0.00827567,
        0.00846049,
        0.00872489,
        0.0085866,
        0.00847197,
        0.00896486,
        0.00881283,
        0.00995416,
        0.0101964,
        0.0103383,
        0.00999285,
        0.00960682,
        0.00953599,
        0.00957748,
        0.0093894,
        0.00901873,
        0.00868351,
        0.00881835,
        0.00913981,
        0.00912406,
        0.00905106,
        0.00814609,
        0.00782313,
        0.00832387,
        0.00824864,
        0.00785143,
        0.00729219,
        0.00698267,
        0.00824683,
        0.00699378,
        0.00735974,
        0.00743278,
        0.00731509,
        0.00736534,
        0.00746688,
        0.00740537,
        0.00766194,
        0.00744242,
        0.00698863,
        0.00721994,
        0.00717166,
        0.00676332,
        0.0067211,
        0.00776213,
        0.00739619,
        0.00732211,
        0.00775176,
        0.00801993,
        0.00797266,
        0.00745661,
        0.00728516,
        0.00763651,
        0.00770274,
        0.00741061,
        0.00774322,
        0.0078382,
        0.00777608,
        0.007991,
        0.00795079,
        0.00676977,
        0.00705127,
        0.00701155,
        0.00678967,
        0.00664083,
        0.00673869,
        0.00710126,
        0.00712658,
        0.00651738,
        0.00655197,
        0.00710804,
        0.0069584,
        0.0064232,
        0.00647614,
        0.00707862,
        0.00726786,
        0.00635509,
        0.00693928,
        0.00728032,
        0.0067606,
        0.0064347,
        0.00645297,
        0.00757169,
        0.00722825,
        0.00704858,
        0.00671396,
        0.00637243,
        0.00620413,
        0.00645702,
        0.00635119,
        0.00643216,
        0.00705646,
        0.00677002,
        0.00696331,
        0.0072249,
        0.00679512,
        0.0064932,
        0.00705517,
        0.00734075,
        0.00641304,
        0.00685359,
        0.00675652,
        0.00666284,
        0.00678659,
        0.00677298,
        0.0057787,
        0.00677752,
        0.00614707,
        0.00621077,
        0.00666153,
        0.00720312,
        0.00695506,
        0.00640635,
        0.00651317,
        0.00669085,
        0.00663662,
        0.00768622,
        0.00745634,
        0.0065829,
        0.00641825,
        0.00653542,
        0.00712347,
        0.00714017,
        0.00667806,
        0.0064893,
        0.00646684,
        0.00643861,
        0.00655486,
        0.00668706,
        0.00681363,
        0.00692584,
        0.00685207,
        0.00666112,
        0.0068331,
        0.00730862,
        0.00734855,
        0.00693291,
        0.00624146,
        0.00629466,
        0.00660032,
        0.00657855,
        0.00657868,
        0.00683154,
        0.00704696,
        0.00744966,
        0.0074936,
        0.0069813,
        0.00713122,
        0.00712413,
        0.0072723,
        0.00698117,
        0.00656525,
        0.00703394,
        0.00706044,
        0.00707884,
        0.0069869,
        0.00717687,
        0.00722845,
        0.00707106,
        0.00653412,
        0.00618992,
        0.00708608,
        0.00675309,
        0.00709252,
        0.00693551,
        0.00720185,
        0.00775518,
        0.00712454,
        0.00702479,
        0.00764205,
        0.00752322,
        0.00730634,
        0.00732399,
        0.00725166,
        0.00699371,
        0.00723489,
        0.00739045,
        0.00702868,
        0.00672569,
        0.00693102,
        0.0070948,
        0.00706456,
        0.00765162,
        0.00761403,
        0.00701727,
        0.0068255,
        0.00706699,
        0.00692765,
        0.0065841,
        0.00692454,
        0.00705775,
        0.00644941,
        0.0071256,
        0.00674858,
        0.00705255,
        0.00705357,
        0.00695095,
        0.00735544,
        0.00730094,
        0.00786161,
        0.00753273,
        0.00743617,
        0.0073298,
        0.00759795,
        0.00793023,
        0.00760549,
        0.00671611,
        0.0068805,
        0.00639138,
        0.00677007,
        0.00686726,
        0.00678505,
        0.00662726,
        0.00726161,
        0.00672719,
        0.00712895,
        0.0077458,
        0.00689821,
        0.00684202,
        0.00722281,
        0.00724588,
        0.00723985,
        0.00784557,
        0.00766901,
        0.00719248,
        0.00719673,
        0.00714547,
        0.00744568,
        0.00861733,
        0.00891266,
        0.00838978,
        0.0103702,
        0.0102592,
        0.0103424,
        0.00986267,
        0.0088551,
        0.00707651,
        0.00678249,
        0.00663932,
        0.00715806,
        0.00768911,
        0.00738625,
        0.00756013,
        0.00759289,
        0.007008,
        0.00727692,
        0.00690791,
        0.00755755,
        0.00714738,
        0.00728502,
        0.00728308,
        0.0071245,
        0.00639492,
        0.00686901,
        0.00753153,
        0.00720559,
        0.0068725,
        0.00688569,
        0.00742217,
        0.0074325,
        0.00716763,
        0.00733147,
        0.00717337,
        0.00739046,
        0.00730214,
        0.00690115,
        0.00685699,
        0.0077805,
        0.00731166,
        0.00696447,
        0.00703496,
        0.00675427,
        0.00714898,
        0.00765102,
        0.00759507,
        0.00774143,
        0.00781707,
        0.00759482,
        0.0076454,
        0.00843699,
        0.00850666,
        0.00776259,
        0.00779141,
        0.0094118,
        0.00843211,
        0.00790497,
        0.00795695,
        0.00740796,
        0.00731311,
        0.00756254,
        0.00793,
        0.00758322,
        0.00797497,
        0.00730924,
        0.00736661,
        0.00742278,
        0.00687358,
        0.00670295,
        0.00783807,
        0.00737304,
        0.00722266,
        0.0075704,
        0.00688785,
        0.00713428,
        0.00769726,
        0.00765968,
        0.00666448,
        0.00669409,
        0.00672721,
        0.00642275,
        0.00684923,
        0.00749335,
        0.00731945,
        0.00714155,
        0.00709092,
        0.00594959,
        0.00707211,
        0.00772995,
        0.00696088,
        0.006899,
        0.007625,
        0.00680134,
        0.00673432,
        0.00771146,
        0.00749566,
        0.00666453,
        0.00636749,
        0.00642633,
        0.00632179,
        0.00631004,
        0.00675613,
        0.0060832,
        0.00654509,
        0.00635341,
        0.00618232,
        0.00613179,
        0.00591593,
        0.00597993,
        0.00749286,
        0.00704984,
        0.00640893,
        0.00630204,
        0.0063705,
        0.0067265,
        0.00704819,
        0.00595451,
        0.00738528,
        0.00703944,
        0.00734057,
        0.00725546,
        0.00720532,
        0.00726003,
        0.00692673,
        0.00624434,
        0.00707363,
        0.00665358,
        0.00687613,
        0.00794703,
        0.00781602,
        0.00717624,
        0.0079486,
        0.00714609,
        0.0076966,
        0.0078738,
        0.00802825,
        0.00766499,
        0.00815457,
        0.00907256,
        0.00835337,
        0.00684697,
        0.00673341,
        0.00799612,
        0.00724894,
        0.00766189,
        0.00804194,
        0.00731282,
        0.00690375,
        0.00674134,
        0.00885273,
        0.00831434,
        0.00766016,
        0.00766574,
        0.00774837,
        0.00717933,
        0.00637617,
        0.0070555,
        0.00713808,
        0.00863206,
        0.00814991,
        0.00741157,
        0.00726673,
        0.00767823,
        0.00849874,
        0.00792762,
        0.00920114,
        0.0085918,
        0.00843475,
        0.00787227,
        0.00764461,
        0.008185,
        0.00788697,
        0.00759557,
        0.00758575,
        0.00704546,
        0.00791509,
        0.00814607,
        0.00822587,
        0.008665,
        0.00737647,
        0.00739546,
        0.00899997,
        0.00807023,
        0.00845043,
        0.00797311,
        0.007281,
        0.00804963,
        0.00843323,
        0.00663002,
        0.00731098,
        0.00689946,
        0.0074638,
        0.00789755,
        0.00756959,
        0.00728579,
        0.00796373,
        0.00740144,
        0.00876894,
        0.00879026,
        0.00857074,
        0.00874239,
        0.00846567,
        0.00739105,
        0.00790077,
        0.00866335,
        0.00838525,
        0.00779622,
        0.0087048,
        0.00903007,
        0.00836444,
        0.00785736,
        0.00663674,
        0.00753631,
        0.00808432,
        0.0082376,
        0.00910608,
        0.00843023,
        0.00741257,
        0.00854082,
        0.00803449,
        0.00905138,
        0.00755478,
        0.00749388,
        0.0073341,
        0.00695151,
        0.00734792,
        0.00842196,
        0.0076462,
        0.00769285,
        0.00798315,
        0.00840327,
        0.00912028,
        0.00887968,
        0.0075114,
        0.0066791,
        0.00796466,
        0.00842254,
        0.00835516,
        0.0079877,
        0.00814475,
        0.00794967,
        0.00769818,
        0.00824101,
        0.00782041,
        0.00753743,
        0.00702348,
        0.00799352,
        0.00797683,
        0.00784487,
        0.00757443,
        0.00679561,
        0.00889187,
        0.00947856,
        0.00769479,
        0.00668634,
        0.00698321,
        0.00746956,
        0.00774764,
        0.00806167,
        0.00754986,
        0.00675899,
        0.00755942,
        0.00836609,
        0.00723598,
        0.00643955,
        0.00692871,
        0.00726695,
        0.00759492,
        0.00884901,
        0.00846384,
        0.00841577,
        0.0082539,
        0.00755553,
        0.00690305,
        0.00715126,
        0.00781749,
        0.0071787,
        0.00620229,
        0.00710506,
        0.00752125,
        0.00701123,
        0.0066324,
        0.00706659,
        0.00707,
        0.0080547,
        0.00703824,
        0.007384,
        0.00675911,
        0.00715921,
        0.0078493,
        0.00680499,
        0.00719477,
        0.00655237,
        0.00764613,
        0.00777493,
        0.00774078,
        0.00897106,
        0.00953257,
        0.00796514,
        0.00905117,
        0.00884746,
        0.00970687,
        0.00986822,
        0.0110437,
        0.0125673,
        0.0132056,
        0.0129525,
        0.0133213,
        0.0131038,
        0.0123266,
        0.0120045,
        0.0117488,
        0.0119113,
        0.0120801,
        0.0118087,
        0.0119519,
        0.0122529,
        0.0122503,
        0.0102453,
        0.00856996,
        0.00783751,
        0.00829458,
        0.00886594,
        0.00704701,
        0.00673273,
        0.0079692,
        0.0093734,
        0.00935062,
        0.00892137,
        0.00934634,
        0.0105115,
        0.0110275,
        0.0106684,
        0.0131193,
        0.0144046,
        0.015512,
        0.0181473,
        0.0235771,
        0.0315192,
        0.02604,
        0.0211369,
        0.01718,
        0.0146585,
        0.0142042,
        0.0121088,
        0.012802,
        0.0122055,
        0.0118392,
        0.0117347,
        0.0121848,
        0.0117551,
        0.0095004,
        0.00940236,
        0.0103829,
        0.00984053,
        0.0109822,
        0.00986025,
        0.00880862,
        0.0088057,
        0.00842355,
        0.00923077,
        0.00957252,
        0.00884764,
        0.00745174,
        0.00740465,
        0.00854529,
        0.00939827,
        0.00906538,
        0.00845271,
        0.00796903,
        0.007437,
        0.00692342,
        0.00709453,
        0.00792344,
        0.00844662,
        0.00825241,
        0.00834577,
        0.00751152,
        0.00851445,
        0.00744467,
        0.00825871,
        0.00940258,
        0.00615072,
        0.00664218,
        0.00726928,
        0.0071361,
        0.00837116,
        0.00851973,
        0.00770271,
        0.00680457,
        0.00685167,
        0.00710597,
        0.00752668,
        0.00825012,
        0.00756763,
        0.00800036,
        0.0081077,
        0.0079611,
        0.00784985,
        0.00788464,
        0.00784778,
        0.00773306,
        0.00787078,
        0.00751985,
        0.00744794,
        0.00759051,
        0.00743149,
        0.00716954,
        0.0076642,
        0.00819942,
        0.00763639,
        0.00796245,
        0.00742085,
        0.00723537,
        0.00742962,
        0.00776853,
        0.00796728,
        0.00843473,
        0.00771356,
        0.00796664,
        0.00818037,
        0.00831715,
        0.00825145,
        0.00799737,
        0.00797207,
        0.00793931,
        0.00762316,
        0.00807416,
        0.0079442,
        0.00814539,
        0.00826922,
        0.00842601,
        0.0085479,
        0.00835616,
        0.00849613,
        0.00862426,
        0.00927253,
        0.00993843,
        0.00964482,
        0.00930158,
        0.0102309,
        0.0106443,
        0.0111803,
        0.0119443,
        0.0127353,
        0.0144645,
        0.0160383,
        0.017592,
        0.0206271,
        0.0244383,
        0.026332,
        0.0320273,
        0.0335456,
        0.0292256,
        0.0240497,
        0.0206821,
        0.0182321,
        0.0166639,
        0.0157974,
        0.0146533,
        0.0125545,
        0.0115002,
        0.0107498,
        0.0102527,
        0.00982262,
        0.00917949,
        0.00962363,
        0.0100689,
        0.0101215,
        0.00938683,
        0.00872472,
        0.00843705,
        0.008801,
        0.00908811,
        0.00850909,
        0.00849219,
        0.00807982,
        0.00850532,
        0.00814601,
        0.00809309,
        0.00855078,
        0.00879893,
        0.00857771,
        0.00861349,
        0.00824437,
        0.00808448,
        0.00837417,
        0.00816253,
        0.00804965,
        0.00786112,
        0.00730633,
        0.0070241,
        0.00607885,
        0.0072173,
        0.00775959,
        0.00765302,
        0.00808974,
        0.00827124,
        0.00784779,
        0.00815557,
        0.00828567,
        0.00807474,
        0.00789558,
        0.00739382,
        0.00695592,
        0.00719269,
        0.0075538,
        0.00740547,
        0.00694449,
        0.00763631,
        0.00794413,
        0.00841412,
        0.0080243,
        0.0075095,
        0.00781598,
        0.00865871,
        0.00853764,
        0.00824811,
        0.0083064,
        0.00847175,
        0.00846948,
        0.00857722,
        0.00847273,
        0.008455,
        0.00822051,
        0.00919598,
        0.00884649,
        0.00821145,
        0.00835268,
        0.009926,
        0.0106983,
        0.010922,
        0.0116163,
        0.0120906,
        0.0109656,
        0.0120318,
        0.0118487,
        0.0125723,
        0.0130664,
        0.0141762,
        0.0146067,
        0.01508,
        0.0160589,
        0.017006,
        0.0191143,
        0.0196149,
        0.021461,
        0.0242013,
        0.026634,
        0.032102,
        0.0336972,
        0.0395886,
        0.0539296,
        0.0638131,
        0.0836644,
        0.0835023,
        0.0779313,
        0.069728,
        0.0603058,
        0.0497994,
        0.0313542,
        0.0255725,
        0.0244857,
        0.0229081,
        0.0204148,
        0.0168456,
        0.0145425,
        0.0125596,
        0.0126926,
        0.0123307,
        0.011459,
        0.0115463,
        0.010725,
        0.00964535,
        0.00888526,
        0.00882522,
        0.00880261,
        0.00874125,
        0.00928443,
        0.00848486,
        0.00808468,
        0.00888223,
        0.00866909,
        0.00858253,
        0.0087048,
        0.00801085,
        0.00845821,
        0.0088256,
        0.00831698,
        0.00793451,
        0.00744655,
        0.00703375,
        0.00632871,
        0.00684999,
        0.00823668,
        0.00840054,
        0.00823943,
        0.00812051,
        0.00799234,
        0.00824712,
        0.00798752,
        0.0079764,
        0.00765136,
        0.00814072,
        0.00892569,
        0.00910078,
        0.00952937,
        0.0100817,
        0.0108327,
        0.0111664,
        0.0104477,
        0.00999467,
        0.0108702,
        0.0121058,
        0.012356,
        0.0119768,
        0.0120085,
        0.0114578,
        0.0104601,
        0.00969307,
        0.00884046,
        0.00882961,
        0.00936497,
        0.00988884,
        0.00985207,
        0.00910011,
        0.00902277,
        0.00838694,
        0.00879167,
        0.00960821,
        0.00908409,
        0.00957658,
        0.00902119,
        0.00846759,
        0.00832146,
        0.00884953,
        0.00928322,
        0.00903875,
        0.00873742,
        0.00892237,
        0.00956406,
        0.00953583,
        0.00941571,
        0.0103529,
        0.0102594,
        0.0102784,
        0.0108796,
        0.0112482,
        0.0111336,
        0.0111942,
        0.0116388,
        0.0130171,
        0.0136752,
        0.0143981,
        0.0148608,
        0.0168223,
        0.0197808,
        0.0207327,
        0.0229361,
        0.0253051,
        0.0292743,
        0.0313704,
        0.0408519,
        0.0525056,
        0.0764679,
        0.0811111,
        0.0555112,
        0.0433507,
        0.0348325,
        0.0298274,
        0.025496,
        0.0241156,
        0.0212292,
        0.0195792,
        0.0196605,
        0.0193387,
        0.0177211,
        0.0163418,
        0.0165653,
        0.0153405,
        0.0152457,
        0.0153497,
        0.0156388,
        0.0160865,
        0.0163234,
        0.0160603,
        0.0163842,
        0.0173181,
        0.0164307,
        0.0153653,
        0.0139523,
        0.0120527,
        0.0103344,
        0.00939788,
        0.00900289,
        0.00948155,
        0.0102418,
        0.00987916,
        0.00979896,
        0.0096999,
        0.010225,
        0.0108664,
        0.0111972,
        0.0113837,
        0.0107126,
        0.0118332,
        0.0115534,
        0.0111767,
        0.0110406,
        0.0109798,
        0.0114255,
        0.0118801,
        0.0120377,
        0.0139408,
        0.0167979,
        0.018945,
        0.0232915,
        0.0299187,
        0.0413699,
        0.0578491,
        0.0725573,
        0.0720096,
        0.0518824,
        0.0308857,
        0.0242797,
        0.0192933,
        0.0170945,
        0.0142646,
        0.0125238,
        0.0116997,
        0.0107587,
        0.0100516,
        0.0098719,
        0.0100322,
        0.00964874,
        0.00878901,
        0.00875576,
        0.00849437,
        0.00825066,
        0.00830083,
        0.00756831,
        0.00855647,
        0.00777335,
        0.00716923,
        0.00740223,
        0.00720034,
        0.00749586,
        0.00794847,
        0.00761395,
        0.00703251,
        0.00701582,
        0.00703038,
        0.00686657,
        0.00663701,
        0.00680267,
        0.00686725,
        0.00683182,
        0.00678461,
        0.00647516,
        0.00633183,
        0.00720337,
        0.00780794,
        0.00758554,
        0.00763488,
        0.00747274,
        0.00743486,
        0.0071635,
        0.0061999,
        0.00675456,
        0.00696607,
        0.00683158,
        0.00633238,
        0.00663968,
        0.0067926,
        0.00652319,
        0.0064268,
        0.00693895,
        0.00745823,
        0.00674466,
        0.00694517,
        0.00701694,
        0.00677546,
        0.00681191,
        0.00701085,
        0.00699077,
        0.00676563,
        0.00670937,
        0.0065479,
        0.00692736,
        0.00693282,
        0.00694629,
        0.00684966,
        0.00685997,
        0.00682227,
        0.00653184,
        0.00621212,
        0.00595666,
        0.00595295,
        0.00633708,
        0.00677882,
        0.00660353,
        0.00614025,
        0.00618048,
        0.00631468,
        0.00578907,
        0.00621288,
        0.0063914,
        0.00664436,
        0.00673734,
        0.00675661,
        0.00645198,
        0.00664048,
        0.00696328,
        0.00661437,
        0.00697696,
        0.00758859,
        0.0071987,
        0.00655218,
        0.00678135,
        0.00644389,
        0.00683196,
        0.00726655,
        0.00678458,
        0.00733846,
        0.0070575,
        0.00715656,
        0.00610125,
        0.00654136,
        0.00652924,
        0.00634312,
        0.00614917,
        0.00576985,
        0.0055476,
        0.00590396,
        0.00613204,
        0.00684224,
        0.0070029,
        0.00656717,
        0.00627808,
        0.00627153,
        0.00653817,
        0.00696389,
        0.00683333,
        0.00654868,
        0.00632517,
        0.00559424,
        0.00647492,
        0.00692113,
        0.00675731,
        0.00681716,
        0.0071603,
        0.00709279,
        0.00702118,
        0.0079155,
        0.00673535,
        0.00723851,
        0.00775961,
        0.00709323,
        0.00651219,
        0.00696402,
        0.00722859,
        0.00660898,
        0.00736416,
        0.00715212,
        0.00705552,
        0.00693304,
        0.00690159,
        0.00718086,
        0.00739197,
        0.0072061,
        0.00730907,
        0.00749494,
        0.00798422,
        0.00729243,
        0.00699259,
        0.00647996,
        0.00650613,
        0.00665746,
        0.00632449,
        0.00616667,
        0.00637211,
        0.00744241,
        0.00729253,
        0.00731246,
        0.00719401,
        0.00693224,
        0.00733249,
        0.007923,
        0.0075293,
        0.00700097,
        0.00730495,
        0.00746642,
        0.00849266,
        0.0078076,
        0.00712351,
        0.00706239,
        0.00712513,
        0.00693829,
        0.00689583,
        0.00728536,
        0.00769962,
        0.00825608,
        0.00727437,
        0.00722449,
        0.00717965,
        0.00718398,
        0.00726141,
        0.00722178,
        0.00796332,
        0.00870092,
        0.0084925,
        0.00755524,
        0.00748009,
        0.00788791,
        0.00773748,
        0.00730269,
        0.0074156,
        0.00791809,
        0.00777547,
        0.00728884,
        0.0071356,
        0.00754104,
        0.00750836,
        0.00746988,
        0.0072556,
        0.0070597,
        0.00720147,
        0.0070752,
        0.00680618,
        0.00757753,
        0.00798364,
        0.00790626,
        0.00783395,
        0.00837639,
        0.00872164,
        0.00820841,
        0.00759759,
        0.00769131,
        0.00761725,
        0.0072759,
        0.00719131,
        0.00785692,
        0.00788763,
        0.00762167,
        0.00771103,
        0.00798329,
        0.00810268,
        0.00857674,
        0.00827963,
        0.00860019,
        0.00814288,
        0.00768192,
        0.00804789,
        0.00778068,
        0.00703618,
        0.00737824,
        0.00766173,
        0.00748009,
        0.00749873,
        0.00765482,
        0.00760038,
        0.00720811,
        0.00721876,
        0.0073638,
        0.00737258,
        0.00760452,
        0.0075013,
        0.00666207,
        0.00696673,
        0.0077543,
        0.0078162,
        0.00752746,
        0.00741577,
        0.00745004,
        0.00740162,
        0.00747269,
        0.00796099,
        0.00736382,
        0.00713665,
        0.00720397,
        0.00683999,
        0.0073978,
        0.00790977,
        0.00775574,
        0.00770691,
        0.00775412,
        0.0077546,
        0.00802257,
        0.00699574,
        0.00749068,
        0.00744629,
        0.00754251,
        0.0073408,
        0.00705551,
        0.00780382,
        0.00825427,
        0.0080707,
        0.00772344,
        0.00734335,
        0.007204,
        0.0075524,
        0.00790477,
        0.00795785,
        0.00767309,
        0.00720964,
        0.00722668,
        0.00757127,
        0.00709299,
        0.00769353,
        0.00695463,
        0.00651575,
        0.00672252,
        0.00728788,
        0.00743168,
        0.00659387,
        0.00673315,
        0.00571857,
        0.00598084,
        0.00673925,
        0.00708689,
        0.00718825,
        0.00753019,
        0.00772054,
        0.00738492,
        0.00708937,
        0.00638923,
        0.0066638,
        0.006293,
        0.00801772,
        0.00778693,
        0.00723332,
        0.00742824,
        0.00748085,
        0.00691121,
        0.00686972,
        0.00688356,
        0.00671986,
        0.00642332,
        0.00626093,
        0.00660713,
        0.00623793,
        0.00646445,
        0.00716833,
        0.00678027,
        0.0064497,
        0.00629581,
        0.00708815,
        0.00646884,
        0.0063428,
        0.00768563,
        0.00866775,
        0.00856035,
        0.00734957,
        0.00594144,
        0.0065696,
        0.00698593,
        0.00736615,
        0.0067481,
        0.00729043,
        0.00742627,
        0.00679912,
        0.00634941,
        0.00649376,
        0.00678036,
        0.0070714,
        0.00714132,
        0.00736541,
        0.00732135,
        0.00720226,
        0.00713873,
        0.00736605,
        0.00721857,
        0.00733574,
        0.00771106,
        0.00778325,
        0.00795742,
        0.00763731,
        0.00743693,
        0.00712904,
        0.00655689,
        0.00644217,
        0.00664075,
        0.00659543,
        0.00742297,
        0.00729595,
        0.00686345,
        0.00739892,
        0.00811511,
        0.00797993,
        0.00739989,
        0.00719154,
        0.00730263,
        0.00718531,
        0.00725206,
        0.00763893,
        0.00732171,
        0.00822789,
        0.00907624,
        0.00938325,
        0.00982963,
        0.00996734,
        0.0103467,
        0.0110271,
        0.011301,
        0.0116182,
        0.0116762,
        0.0116079,
        0.0138408,
        0.0152429,
        0.0153867,
        0.0155543,
        0.0141542,
        0.0113711,
        0.00933418,
        0.00796489,
        0.00665929,
        0.0069544,
        0.00871071,
        0.00813565,
        0.00779872,
        0.00871904,
        0.00929131,
        0.00943619,
        0.00985648,
        0.0104467,
        0.0105796,
        0.0107532,
        0.011599,
        0.0123882,
        0.0117951,
        0.0122791,
        0.0138047,
        0.0148721,
        0.0150262,
        0.0145201,
        0.0167565,
        0.0189871,
        0.0234406,
        0.0295758,
        0.0470568,
        0.0801778,
        0.0585923,
        0.0373912,
        0.0282795,
        0.0225467,
        0.0189055,
        0.0161967,
        0.0139727,
        0.0129591,
        0.0118649,
        0.0109048,
        0.0103709,
        0.00984595,
        0.010102,
        0.0106203,
        0.00933644,
        0.00926202,
        0.0100554,
        0.010524,
        0.01003,
        0.00984929,
        0.00937657,
        0.00862342,
        0.00833139,
        0.00874333,
        0.00960626,
        0.00943384,
        0.00904602,
        0.00930786,
        0.00921714,
        0.00871098,
        0.00874667,
        0.00882966,
        0.00983127,
        0.00961853,
        0.00839022,
        0.00825388,
        0.00807287,
        0.00775292,
        0.00749632,
        0.0076099,
        0.00791744,
        0.00784705,
        0.00749617,
        0.00767237,
        0.00818653,
        0.00848578,
        0.00819573,
        0.00776877,
        0.00830188,
        0.00771634,
        0.00772465,
        0.00813534,
        0.00809625,
        0.00762992,
        0.00785738,
        0.00771292,
        0.00790849,
        0.00882364,
        0.00836809,
        0.00827422,
        0.00797269,
        0.00806957,
        0.00797757,
        0.00845949,
        0.00887405,
        0.00795431,
        0.00897566,
        0.00952622,
        0.0108645,
        0.010909,
        0.0101179,
        0.00993254,
        0.00952605,
        0.00890908,
        0.00864222,
        0.0084676,
        0.0088933,
        0.0083023,
        0.00815031,
        0.00775298,
        0.00771376,
        0.00767361,
        0.00743269,
        0.00755453,
        0.00772569,
        0.00750886,
        0.00707985,
        0.00724904,
        0.00780072,
        0.0081952,
        0.00770504,
        0.00725312,
        0.00705608,
        0.0068408,
        0.00745891,
        0.00820477,
        0.00747807,
        0.00727312,
        0.00718855,
        0.00798646,
        0.00822915,
        0.0082497,
        0.0079612,
        0.00703399,
        0.00668034,
        0.00701593,
        0.0069007,
        0.00769851,
        0.00778942,
        0.00786499,
        0.00756839,
        0.00745678,
        0.00730532,
        0.00768674,
        0.00797651,
        0.00785193,
        0.00847525,
        0.00780215,
        0.00728254,
        0.00738733,
        0.00729067,
        0.00691296,
        0.00712853,
        0.00734817,
        0.00688133,
        0.00703462,
        0.00713311,
        0.0065558,
        0.00651026,
        0.00643539,
        0.00720325,
        0.00742335,
        0.00710312,
        0.00742905,
        0.00759099,
        0.00721539,
        0.00730417,
        0.00716385,
        0.00706168,
        0.00693853,
        0.00741148,
        0.00771027,
        0.00810878,
        0.00810106,
        0.00753435,
        0.00703296,
        0.00717208,
        0.00678916,
        0.00679286,
        0.0071397,
        0.00806004,
        0.00890107,
        0.010621,
        0.0106546,
        0.00913806,
        0.00763835,
        0.00797507,
        0.00818378,
        0.00863719,
        0.00856322,
        0.00804931,
        0.00778473,
        0.009304,
        0.00971181,
        0.00997792,
        0.00992733,
        0.0105238,
        0.00949465,
        0.00833435,
        0.00849408,
        0.00858553,
        0.00861027,
        0.00774052,
        0.00841403,
        0.00838772,
        0.00760476,
        0.00719651,
        0.00742022,
        0.00789454,
        0.00807804,
        0.00754896,
        0.00763338,
        0.00885443,
        0.00830955,
        0.00813228,
        0.00838701,
        0.00845745,
        0.00857795,
        0.00886367,
        0.008769,
        0.00839244,
        0.00831275,
        0.00811823,
        0.00831138,
        0.00877104,
        0.00878037,
        0.00913898,
        0.00935028,
        0.0101235,
        0.012258,
        0.0155235,
        0.0177114,
        0.0186234,
        0.0189465,
        0.0219104,
        0.0250647,
        0.0244426,
        0.0253457,
        0.0288528,
        0.0322132,
        0.033324,
        0.0324945,
        0.0295581,
        0.0275032,
        0.0218839,
        0.0235225,
        0.0224554,
        0.0224955,
        0.0223612,
        0.0205496,
        0.0194734,
        0.019143,
        0.0203688,
        0.0216952,
        0.0230638,
        0.0233274,
        0.022725,
        0.0235002,
        0.0240313,
        0.0225491,
        0.0195331,
        0.0170006,
        0.0162927,
        0.01678,
        0.0186637,
        0.0165758,
        0.0185879,
        0.0185726,
        0.0218449,
        0.0213505,
        0.0191197,
        0.0176609,
        0.0167105,
        0.0157899,
        0.0147389,
        0.0157853,
        0.0180421,
        0.0185901,
        0.0173452,
        0.0156564,
        0.0143523,
        0.0133646,
        0.0119987,
        0.0117581,
        0.0119837,
        0.0111264,
        0.0103519,
        0.0102029,
        0.0101936,
        0.0106462,
        0.0111239,
        0.0110567,
        0.0113662,
        0.0124006,
        0.0129682,
        0.0131359,
        0.0134159,
        0.0129212,
        0.0116471,
        0.0114355,
        0.0113362,
        0.0126513,
        0.0133661,
        0.0138493,
        0.0120724,
        0.0103175,
        0.0100285,
        0.00972307,
        0.00995745,
        0.0114259,
        0.0118244,
        0.00995671,
        0.00910335,
        0.00881237,
        0.00927068,
        0.00924072,
        0.00931293,
        0.0097291,
        0.0097973,
        0.00944554,
        0.00867161,
        0.00829863,
        0.00924247,
        0.00942746,
        0.00986269,
        0.0101245,
        0.00944041,
        0.00897733,
        0.00877213,
        0.00845616,
        0.0090601,
        0.0101525,
        0.0104565,
        0.00979736,
        0.0098363,
        0.0092117,
        0.00851076,
        0.0084228,
        0.00907475,
        0.00971458,
        0.00935281,
        0.0094274,
        0.0100135,
        0.00858703,
        0.00962484,
        0.0100046,
        0.00925189,
        0.0082469,
        0.00774988,
        0.00819717,
        0.00908694,
        0.00870694,
        0.00884283,
        0.0088588,
        0.00880177,
        0.00826458,
        0.00879119,
        0.00817767,
        0.00833275,
        0.00798803,
        0.00783524,
        0.00768483,
        0.00731254,
        0.00743571,
        0.00763029,
        0.00815168,
        0.0101424,
        0.0107666,
        0.0108219,
        0.0110648,
        0.010323,
        0.00969887,
        0.00870424,
        0.00946814,
        0.0110935,
        0.0110041,
        0.0100722,
        0.00815746,
        0.00790279,
        0.0077091,
        0.0070952,
        0.00738031,
        0.0070553,
        0.0075409,
        0.00759478,
        0.00795962,
        0.00888062,
        0.00968056,
        0.00955027,
        0.00835479,
        0.0074157,
        0.00733564,
        0.00754802,
        0.00834826,
        0.00742168,
        0.0075391,
        0.00725298,
        0.0071248,
        0.00747888,
        0.00721247,
        0.00751486,
        0.00910055,
        0.00900099,
        0.0094387,
        0.00912154,
        0.00899408,
        0.00804795,
        0.00806332,
        0.00775491,
        0.00799339,
        0.00853654,
        0.00852073,
        0.00864622,
        0.00944828,
        0.0110511,
        0.0101903,
        0.0128084,
        0.016356,
        0.0190573,
        0.0190476,
        0.0170103,
        0.0160959,
        0.0176186,
        0.0172839,
        0.0125352,
        0.00936373,
        0.00737182,
        0.00749848,
        0.00691038,
        0.0074114,
        0.0090424,
        0.0105135,
        0.010093,
        0.00797065,
        0.00967582,
        0.0103031,
        0.012601,
        0.0129869,
        0.0126654,
        0.012207,
        0.0112782,
        0.0118692,
        0.0143409,
        0.0163782,
        0.0175563,
        0.0156612,
        0.0164131,
        0.0172697,
        0.018766,
        0.0254263,
        0.026717,
        0.0191718,
        0.0161544,
        0.0163621,
        0.0152207,
        0.0133856,
        0.0125098,
        0.0145903,
        0.0132742,
        0.0124938,
        0.0109261,
        0.0104003,
        0.0102623,
        0.00990763,
        0.0107341,
        0.0129005,
        0.0122273,
        0.0127657,
        0.0112686,
        0.0110546,
        0.0122993,
        0.0126882,
        0.0120949,
        0.0110556,
        0.0103496,
        0.0103543,
        0.0103061,
        0.0110313,
        0.0129397,
        0.0107679,
        0.00874242,
        0.00930918,
        0.00884532,
        0.00815183,
        0.00842839,
        0.00861002,
        0.00808294,
        0.00814356,
        0.00797193,
        0.00861954,
        0.00960535,
        0.00869475,
        0.00853133,
        0.00839969,
        0.00802396,
        0.00756535,
        0.00740463,
        0.00821126,
        0.00874454,
        0.00880289,
        0.00994095,
        0.0103255,
        0.0123327,
        0.0108533,
        0.0092665,
        0.00972455,
        0.0106478,
        0.0109745,
        0.0138493,
        0.0158687,
        0.0159651,
        0.0156168,
        0.0144573,
        0.0127058,
        0.0111526,
        0.0117848,
        0.0132163,
        0.0142832,
        0.0138114,
        0.0125182,
        0.0114748,
        0.0101817,
        0.0089706,
        0.00834756,
        0.00891391,
        0.00836933,
        0.00786352,
        0.00808452,
        0.00810169,
        0.00793058,
        0.00788882,
        0.00809282,
        0.00860771,
        0.00834569,
        0.00849871,
        0.00835081,
        0.0076592,
        0.00749514,
        0.00740377,
        0.00725967,
        0.00745239,
        0.00774198,
        0.0075774,
        0.00754901,
        0.00831508,
        0.00956076,
        0.0108064,
        0.0118069,
        0.00979008,
        0.00872125,
        0.00871156,
        0.00853659,
        0.00811251,
        0.00787787,
        0.00787989,
        0.00866929,
        0.00752637,
        0.0101974,
        0.0101615,
        0.0128936,
        0.0155342,
        0.015327,
        0.0135832,
        0.0121064,
        0.0107106,
        0.00974385,
        0.00764096,
        0.00751814,
        0.00796729,
        0.00796962,
        0.0073536,
        0.0069765,
        0.0078651,
        0.00830381,
        0.00755932,
        0.00738328,
        0.00756812,
        0.00754891,
        0.00654657,
        0.00636187,
        0.00689491,
        0.00707622,
        0.00680337,
        0.00673042,
        0.00715486,
        0.0076183,
        0.00756375,
        0.00735671,
        0.00822239,
        0.00763221,
        0.00598742,
        0.00773305,
        0.00924603,
        0.011459,
        0.0126814,
        0.0112823,
        0.0092613,
        0.00889121,
        0.00804891,
        0.00786074,
        0.00981294,
        0.0128583,
        0.0107129,
        0.00867883,
        0.00872637,
        0.00869171,
        0.00764791,
        0.00720197,
        0.00799023,
        0.00885538,
        0.0113489,
        0.013398,
        0.0126616,
        0.0105492,
        0.0100135,
        0.0105046,
        0.0107804,
        0.0100459,
        0.00835635,
        0.00717663,
        0.008498,
        0.0108891,
        0.00829247,
        0.00791911,
        0.00758438,
        0.0070051,
        0.00773566,
        0.00953893,
        0.0105096,
        0.0101326,
        0.00925579,
        0.00846023,
        0.00900032,
        0.00765756,
        0.00760449,
        0.00813561,
        0.00709977,
        0.00741469,
        0.00759152,
        0.00770265,
        0.00733183,
        0.00642199,
        0.0065969,
        0.00655479,
        0.00658022,
        0.0067714,
        0.00765257,
        0.00757829,
        0.007645,
        0.00738523,
        0.00652725,
        0.00628417,
        0.00753511,
        0.0087312,
        0.00803484,
        0.00857886,
        0.00796649,
        0.00771951,
        0.00710517,
        0.00684809,
        0.00738084,
        0.0094845,
        0.0118148,
        0.0123802,
        0.0114076,
        0.0104817,
        0.00921355,
        0.00959272,
        0.00849417,
        0.00762791,
        0.00756692,
        0.00847208,
        0.00923784,
        0.00994442,
        0.00982163,
        0.00899001,
        0.00974587,
        0.0110914,
        0.0119694,
        0.0145205,
        0.0108747,
        0.0107841,
        0.00993789,
        0.00916006,
        0.00863733,
        0.00822808,
        0.00797636,
        0.00777704,
        0.00769642,
        0.00771283,
        0.00804599,
        0.0083062,
        0.00857124,
        0.00872855,
        0.0083604,
        0.00843273,
        0.0089883,
        0.00937661,
        0.00951518,
        0.00899209,
        0.00995132,
        0.0125961,
        0.0174356,
        0.0167715,
        0.0130971,
        0.011164,
        0.010289,
        0.0106102,
        0.0108897,
        0.010022,
        0.010676,
        0.0148338,
        0.0170138,
        0.0164558,
        0.0178101,
        0.0209967,
        0.0213003,
        0.019283,
        0.0170004,
        0.0159466,
        0.0148274,
        0.0128717,
        0.0124947,
        0.0128155,
        0.0131617,
        0.0137031,
        0.0146474,
        0.0150639,
        0.0159532,
        0.0177557,
        0.0204067,
        0.0275526,
        0.0347295,
        0.0355908,
        0.035672,
        0.0399461,
        0.0564566,
        0.0785698,
        0.072729,
        0.0754999,
        0.0567012,
        0.0475829,
        0.0385919,
        0.0299177,
        0.0251485,
        0.0242299,
        0.0195154,
        0.0179952,
        0.0164869,
        0.0158687,
        0.0152946,
        0.0138939,
        0.0123403,
        0.0123879,
        0.0129066,
        0.0131139,
        0.013564,
        0.0139578,
        0.0135005,
        0.0113741,
        0.0105525,
        0.0108524,
        0.0103656,
        0.00964021,
        0.0105307,
        0.0108469,
        0.0114854,
        0.0129898,
        0.0147711,
        0.0166996,
        0.0178534,
        0.0170695,
        0.0162289,
        0.0145496,
        0.0139023,
        0.0141328,
        0.0118716,
        0.0105521,
        0.00983312,
        0.00956154,
        0.00969073,
        0.00957972,
        0.00964991,
        0.00934322,
        0.00878718,
        0.00916696,
        0.0109787,
        0.0135345,
        0.013577,
        0.013427,
        0.0103959,
        0.0106579,
        0.010735,
        0.0107934,
        0.0106388,
        0.0117065,
        0.0123514,
        0.0127811,
        0.0143292,
        0.0159313,
        0.0174778,
        0.0183478,
        0.0235252,
        0.0265472,
        0.0293211,
        0.0324969,
        0.0355598,
        0.0321144,
        0.0271529,
        0.0242784,
        0.0294138,
        0.0310974,
        0.0291639,
        0.0266146,
        0.022841,
        0.0200532,
        0.0190825,
        0.0209729,
        0.0210237,
        0.021295,
        0.0180285,
        0.0146742,
        0.0143497,
        0.0149314,
        0.0152241,
        0.0156278,
        0.0152013,
        0.0143417,
        0.0133398,
        0.0135563,
        0.0148439,
        0.0170728,
        0.0187109,
        0.0203783,
        0.0203808,
        0.0194694,
        0.0188595,
        0.0179783,
        0.0146181,
        0.00994523,
        0.00767312,
        0.00775397,
        0.00912639,
        0.00865577,
        0.0093204,
        0.0108969,
        0.0106232,
        0.0120623,
        0.0138229,
        0.0142025,
        0.0137684,
        0.0132894,
        0.0120364,
        0.0101693,
        0.0110791,
        0.0119387,
        0.0119033,
        0.0134635,
        0.0137452,
        0.0183435,
        0.0212543,
        0.0262794,
        0.0362242,
        0.0493693,
        0.0651743,
        0.0814809,
        0.0587773,
        0.0501096,
        0.0390287,
        0.0282976,
        0.020623,
        0.0170957,
        0.0161579,
        0.0151611,
        0.0159395,
        0.0148631,
        0.0132935,
        0.0132031,
        0.0119952,
        0.0105068,
        0.0100746,
        0.00958006,
        0.00912157,
        0.008842,
        0.00867382,
        0.0101566,
        0.0118282,
        0.00993111,
        0.00903328,
        0.00870514,
        0.00798977,
        0.00821134,
        0.00802465,
        0.00745811,
        0.00792348,
        0.00778834,
        0.00836212,
        0.00765596,
        0.00711328,
        0.00836932,
        0.00930725,
        0.0108276,
        0.0115412,
        0.0126956,
        0.0148818,
        0.016051,
        0.0127875,
        0.0102347,
        0.00902607,
        0.00842358,
        0.00769972,
        0.00810289,
        0.00843502,
        0.00827929,
        0.00826215,
        0.00859535,
        0.00918992,
        0.00726782,
        0.00791879,
        0.0102517,
        0.00984169,
        0.00935137,
        0.00902762,
        0.00881234,
        0.00905275,
        0.0100994,
        0.0114716,
        0.014227,
        0.0208448,
        0.020465,
        0.0177556,
        0.0197048,
        0.0241714,
        0.0270397,
        0.0255782,
        0.019855,
        0.015924,
        0.0143813,
        0.0114563,
        0.00940228,
        0.00891257,
        0.00917239,
        0.0093897,
        0.0092605,
        0.00940494,
        0.0103095,
        0.0118607,
        0.0120105,
        0.00980018,
        0.00910609,
        0.00866876,
        0.00965015,
        0.00980636,
        0.0104162,
        0.0109183,
        0.0103213,
        0.0101792,
        0.0102241,
        0.0106517,
        0.0105752,
        0.00943447,
        0.0103233,
        0.010521,
        0.0118857,
        0.014299,
        0.0153443,
        0.014736,
        0.0135316,
        0.0128957,
        0.0131153,
        0.0127697,
        0.0115137,
        0.0114325,
        0.0109728,
        0.0109929,
        0.0133156,
        0.0138773,
        0.0122404,
        0.0107138,
        0.0102389,
        0.0105511,
        0.0105716,
        0.00968662,
        0.00909542,
        0.00904448,
        0.00957522,
        0.0113321,
        0.0138969,
        0.0145887,
        0.0126038,
        0.0119317,
        0.0129984,
        0.013236,
        0.0118596,
        0.0120413,
        0.013267,
        0.015156,
        0.0172437,
        0.0146351,
        0.0124474,
        0.0114924,
        0.0111754,
        0.0109138,
        0.00983842,
        0.00986388,
        0.0093285,
        0.00966969,
        0.0118438,
        0.0128837,
        0.0125219,
        0.0119855,
        0.0127655,
        0.015161,
        0.0159426,
        0.0136624,
        0.0103813,
        0.00963716,
        0.00852522,
        0.00786729,
        0.00910201,
        0.00971781,
        0.00918981,
        0.0076677,
        0.0080252,
        0.00870556,
        0.00864136,
        0.00937433,
        0.0113271,
        0.0124222,
        0.0120974,
        0.00959567,
        0.00882917,
        0.0092623,
        0.00904649,
        0.00864993,
        0.00801782,
        0.00885408,
        0.00857612,
        0.00849707,
        0.00854279,
        0.0084995,
        0.0092851,
        0.0100146,
        0.0093769,
        0.00876299,
        0.00852862,
        0.00881244,
        0.00906847,
        0.0100202,
        0.0118784,
        0.0161469,
        0.0160457,
        0.0150045,
        0.0142257,
        0.0133113,
        0.0114763,
        0.0122935,
        0.0166913,
        0.0259822,
        0.0292844,
        0.0230662,
        0.0144198,
        0.0115656,
        0.0103477,
        0.0101246,
        0.00992886,
        0.00949319,
        0.008914,
        0.00877277,
        0.00988299,
        0.0116513,
        0.0132348,
        0.0164444,
        0.0169877,
        0.0193885,
        0.0201764,
        0.01455,
        0.0115366,
        0.0103502,
        0.0106222,
        0.0103235,
        0.0107358,
        0.0107279,
        0.0100391,
        0.0105555,
        0.0114862,
        0.0109623,
        0.0108904,
        0.012371,
        0.0130229,
        0.0170829,
        0.0186558,
        0.0187907,
        0.0196086,
        0.0173775,
        0.0134616,
        0.0114972,
        0.0111664,
        0.0105158,
        0.00968962,
        0.0092413,
        0.00888258,
        0.00954252,
        0.011053,
        0.012334,
        0.0116163,
        0.0116591,
        0.0107293,
        0.0103968,
        0.0103538,
        0.0112711,
        0.0119047,
        0.0116076,
        0.0114957,
        0.0134368,
        0.016393,
        0.0165638,
        0.0178059,
        0.0163328,
        0.0192491,
        0.0206426,
        0.0251535,
        0.0336512,
        0.0434414,
        0.0430254,
        0.0366919,
        0.038415,
        0.0449221,
        0.0423773,
        0.0325165,
        0.0269658,
        0.0237965,
        0.0218638,
        0.0194769,
        0.0188214,
        0.0204008,
        0.0256356,
        0.0249233,
        0.0233092,
        0.0181077,
        0.0153211,
        0.0145736,
        0.0144851,
        0.0139243,
        0.0128993,
        0.0124028,
        0.011055,
        0.0104641,
        0.00997666,
        0.00983325,
        0.00928218,
        0.0112742,
        0.0111495,
        0.0101161,
        0.0103312,
        0.0103183,
        0.00986772,
        0.00999391,
        0.0111158,
        0.0132871,
        0.015879,
        0.0160108,
        0.012344,
        0.011299,
        0.010703,
        0.0101988,
        0.0101051,
        0.0109716,
        0.0110197,
        0.0120011,
        0.0130413,
        0.011792,
        0.0102282,
        0.00992672,
        0.0102993,
        0.0105043,
        0.010369,
        0.0106611,
        0.0113644,
        0.0130897,
        0.0188802,
        0.0180387,
        0.0129944,
        0.0111201,
        0.00953132,
        0.00925123,
        0.0102286,
        0.0109559,
        0.0127134,
        0.0127706,
        0.0113855,
        0.0123387,
        0.0125223,
        0.0132034,
        0.0200732,
        0.0281571,
        0.0230135,
        0.0148962,
        0.0126246,
        0.010391,
        0.00992786,
        0.0107961,
        0.0116958,
        0.0133043,
        0.0142895,
        0.0134424,
        0.0117738,
        0.0105609,
        0.010226,
        0.00973335,
        0.00967283,
        0.0105319,
        0.0141449,
        0.0159744,
        0.0145591,
        0.0117619,
        0.0109645,
        0.0106158,
        0.0108342,
        0.0120557,
        0.0147495,
        0.016451,
        0.015048,
        0.0128887,
        0.0120247,
        0.0129907,
        0.0122806,
        0.0133333,
        0.0154312,
        0.0149675,
        0.0124078,
        0.0109321,
        0.0105957,
        0.00980723,
        0.00971529,
        0.00992525,
        0.0104813,
        0.0120455,
        0.0127546,
        0.0113483,
        0.0106922,
        0.00966928,
        0.00925912,
        0.00945471,
        0.01103,
        0.0111381,
        0.012065,
        0.0113012,
        0.0114184,
        0.0127018,
        0.0146316,
        0.0178736,
        0.0193223,
        0.0181712,
        0.0178105,
        0.0184969,
        0.0184775,
        0.0172574,
        0.0165989,
        0.0178068,
        0.0210297,
        0.0251074,
        0.0289741,
        0.0259173,
        0.0232891,
        0.022128,
        0.0220574,
        0.0221932,
        0.0200886,
        0.0157055,
        0.0126676,
        0.013386,
        0.0152148,
        0.013196,
        0.0116359,
        0.0114638,
        0.0113991,
        0.0110294,
        0.0116543,
        0.0136685,
        0.0129182,
        0.0124205,
        0.0125141,
        0.01325,
        0.0142788,
        0.0155349,
        0.0166395,
        0.0167823,
        0.016977,
        0.0182814,
        0.0198684,
        0.0212773,
        0.0263459,
        0.0331291,
        0.0415593,
        0.0614697,
        0.0987639,
        0.093121,
        0.0735563,
        0.0595165,
        0.04044,
        0.0326228,
        0.0315949,
        0.0307804,
        0.0271785,
        0.02141,
        0.0172425,
        0.0194689,
        0.0193465,
        0.0174793,
        0.0167438,
        0.0176316,
        0.0206349,
        0.0208785,
        0.0168346,
        0.0138619,
        0.0125567,
        0.0137817,
        0.0142303,
        0.0157797,
        0.0133473,
        0.0127121,
        0.0111296,
        0.0107438,
        0.0110741,
        0.0108423,
        0.0103281,
        0.0101639,
        0.0112849,
        0.0136306,
        0.0161441,
        0.0170176,
        0.0149464,
        0.0120444,
        0.0119987,
        0.0145413,
        0.0204807,
        0.0307772,
        0.0243733,
        0.0179497,
        0.0134067,
        0.0119762,
        0.0111195,
        0.010669,
        0.0109866,
        0.0107004,
        0.0102681,
        0.0097432,
        0.00899179,
        0.00914402,
        0.0103377,
        0.0101771,
        0.00949889,
        0.00967452,
        0.00997958,
        0.00991399,
        0.00922988,
        0.00930536,
        0.00974804,
        0.0092953,
        0.00955036,
        0.009269,
        0.00996324,
        0.0122021,
        0.0148246,
        0.0165226,
        0.0168467,
        0.0168865,
        0.0174043,
        0.0153954,
        0.010857,
        0.0091358,
        0.0100946,
        0.00908647,
        0.00950716,
        0.0102597,
        0.0102123,
        0.0132518,
        0.018294,
        0.0188925,
        0.015671,
        0.0122386,
        0.00973937,
        0.00981739,
        0.00960785,
        0.00921899,
        0.00898369,
        0.00999139,
        0.0111665,
        0.0121845,
        0.0105072,
        0.00965803,
        0.00952501,
        0.00952868,
        0.00957821,
        0.010066,
        0.00996629,
        0.00997785,
        0.0102935,
        0.0103471,
        0.010096,
        0.0115306,
        0.0143012,
        0.0149478,
        0.0124677,
        0.0101848,
        0.0107753,
        0.0121125,
        0.0122236,
        0.0102924,
        0.00943519,
        0.00900109,
        0.00931811,
        0.00915295,
        0.00858535,
        0.00839533,
        0.00824259,
        0.00877645,
        0.00837227,
        0.00911932,
        0.00907216,
        0.00926439,
        0.0093789,
        0.00881785,
        0.00872614,
        0.00915008,
        0.00823645,
        0.00815379,
        0.00815319,
        0.00872356,
        0.0088256,
        0.0100033,
        0.00949955,
        0.00886473,
        0.00877695,
        0.00938975,
        0.0102229,
        0.0115278,
        0.0131814,
        0.0126861,
        0.0106083,
        0.00929629,
        0.00891512,
        0.00883535,
        0.00860727,
        0.00856682,
        0.00914423,
        0.00931846,
        0.0097647,
        0.0106284,
        0.00979978,
        0.00873867,
        0.00838153,
        0.00860079,
        0.00910511,
        0.0104327,
        0.0126659,
        0.0146258,
        0.015927,
        0.0137148,
        0.012501,
        0.0111613,
        0.0100384,
        0.00903108,
        0.00908259,
        0.00895271,
        0.00981822,
        0.0106527,
        0.0108746,
        0.011113,
        0.0120311,
        0.0135213,
        0.0147543,
        0.015893,
        0.0209496,
        0.0239615,
        0.0209736,
        0.0211683,
        0.0175488,
        0.0155473,
        0.0157939,
        0.0150235,
        0.0123437,
        0.00981294,
        0.00925971,
        0.00977419,
        0.00930084,
        0.0090775,
        0.00917209,
        0.0101796,
        0.0117675,
        0.0124196,
        0.0132037,
        0.0105415,
        0.00952632,
        0.00988553,
        0.00945011,
        0.00877336,
        0.0086345,
        0.0085429,
        0.00878966,
        0.00918876,
        0.0090376,
        0.00906421,
        0.00888677,
        0.00902056,
        0.0088674,
        0.00857143,
        0.00873876,
        0.0091456,
        0.00963735,
        0.011545,
        0.0143814,
        0.0145527,
        0.0110051,
        0.00938876,
        0.00841879,
        0.00834601,
        0.00868156,
        0.00944006,
        0.0131451,
        0.0167249,
        0.0185497,
        0.0173962,
        0.0139918,
        0.0114788,
        0.00997048,
        0.00943774,
        0.0094746,
        0.00875142,
        0.00814183,
        0.00814345,
        0.00854751,
        0.0104371,
        0.0109591,
        0.0097639,
        0.00744959,
        0.00775599,
        0.00866468,
        0.00861142,
        0.00827252,
        0.00791749,
        0.00869749,
        0.0081597,
        0.00786447,
        0.00792728,
        0.00810534,
        0.00882862,
        0.00832865,
        0.00787794,
        0.00858397,
        0.0085432,
        0.0102705,
        0.012753,
        0.0161838,
        0.014703,
        0.0123787,
        0.0105036,
        0.00894992,
        0.00901004,
        0.00966257,
        0.00934987,
        0.00895939,
        0.00906583,
        0.0089088,
        0.00893744,
        0.00882205,
        0.00862269,
        0.00897587,
        0.00894609,
        0.00982451,
        0.00956122,
        0.00934706,
        0.00847811,
        0.00828591,
        0.00834067,
        0.0083958,
        0.00789088,
        0.007744,
        0.00747887,
        0.0075767,
        0.00783668,
        0.00812608,
        0.00813018,
        0.00787609,
        0.0082173,
        0.0101383,
        0.0124787,
        0.0136489,
        0.0114596,
        0.00920737,
        0.00893764,
        0.00933103,
        0.010042,
        0.0098709,
        0.00936851,
        0.00936293,
        0.00863054,
        0.00891536,
        0.0088797,
        0.00850725,
        0.00848822,
        0.00881675,
        0.0086835,
        0.00834159,
        0.00887457,
        0.00959681,
        0.0115897,
        0.0145439,
        0.0157575,
        0.0134479,
        0.0109252,
        0.0098196,
        0.0088885,
        0.00835882,
        0.0084917,
        0.00907876,
        0.00965131,
        0.0107838,
        0.0122929,
        0.0136886,
        0.0118654,
        0.0104922,
        0.00930638,
        0.00897058,
        0.00873904,
        0.00888958,
        0.0103151,
        0.0102984,
        0.0105495,
        0.012126,
        0.0136797,
        0.0154933,
        0.0123939,
        0.00960715,
        0.00976674,
        0.00982938,
        0.00998853,
        0.00980482,
        0.0120407,
        0.012477,
        0.0128013,
        0.0134523,
        0.0144884,
        0.0151908,
        0.014475,
        0.013659,
        0.0120162,
        0.0125015,
        0.0120219,
        0.011916,
        0.0153775,
        0.0173752,
        0.0170884,
        0.0137686,
        0.0132981,
        0.0127936,
        0.0123063,
        0.0126513,
        0.0130732,
        0.0139664,
        0.0150116,
        0.0152719,
        0.0163429,
        0.0187688,
        0.020295,
        0.0196412,
        0.0189587,
        0.0171416,
        0.0185458,
        0.0208511,
        0.0229054,
        0.0230767,
        0.0207129,
        0.0155648,
        0.0127714,
        0.0129579,
        0.0126947,
        0.0119684,
        0.011734,
        0.010348,
        0.0110371,
        0.0129041,
        0.0155194,
        0.0182446,
        0.0172045,
        0.0137768,
        0.0132886,
        0.0125478,
        0.0129439,
        0.0128983,
        0.0118388,
        0.0126004,
        0.0136711,
        0.0144591,
        0.0143864,
        0.0145518,
        0.0158353,
        0.0171293,
        0.017331,
        0.0182753,
        0.0176915,
        0.0187878,
        0.0209226,
        0.0215517,
        0.0224174,
        0.0192187,
        0.0134998,
        0.0123807,
        0.0150253,
        0.0166553,
        0.0155923,
        0.014031,
        0.0123786,
        0.0118467,
        0.0129129,
        0.0136486,
        0.013121,
        0.0139772,
        0.0140151,
        0.0144583,
        0.0155478,
        0.015738,
        0.016161,
        0.0161473,
        0.0159237,
        0.0169606,
        0.0182682,
        0.01976,
        0.0223628,
        0.0286432,
        0.0421772,
        0.0605754,
        0.0871463,
        0.179708,
        0.0840925,
        0.0496478,
        0.038767,
        0.034312,
        0.0321507,
        0.0291414,
        0.0274884,
        0.0249714,
        0.0201272,
        0.0162351,
        0.0150892,
        0.0156872,
        0.0165227,
        0.0141114,
        0.0145784,
        0.0134764,
        0.0130762,
        0.0136792,
        0.0134909,
        0.013527,
        0.012709,
        0.0152003,
        0.0172113,
        0.0168067,
        0.0163268,
        0.0151972,
        0.0155626,
        0.0163557,
        0.0209593,
        0.0200874,
        0.0209151,
        0.0208047,
        0.0229302,
        0.0189041,
        0.0184522,
        0.0185977,
        0.0170147,
        0.0176372,
        0.0206123,
        0.0215703,
        0.0208366,
        0.0209132,
        0.0216096,
        0.0225201,
        0.0234471,
        0.0244052,
        0.0291729,
        0.0360822,
        0.0361296,
        0.0440737,
        0.0444132,
        0.0369079,
        0.0385432,
        0.0372979,
        0.0318096,
        0.0270422,
        0.0235806,
        0.0252456,
        0.0288544,
        0.0307904,
        0.0288213,
        0.0244095,
        0.0214083,
        0.0209968,
        0.020446,
        0.0180315,
        0.0171074,
        0.0192095,
        0.018358,
        0.0201788,
        0.0195783,
        0.0183438,
        0.0195662,
        0.0182153,
        0.0194585,
        0.0231134,
        0.0251285,
        0.0228363,
        0.0202007,
        0.0190485,
        0.0194491,
        0.0204762,
        0.0213731,
        0.0225391,
        0.0226512,
        0.0228964,
        0.0271682,
        0.0309713,
        0.0377679,
        0.0395707,
        0.0489891,
        0.0490599,
        0.0359017,
        0.0334282,
        0.0248908,
        0.0266437,
        0.0237506,
        0.0232693,
        0.0225141,
        0.0221571,
        0.0209339,
        0.0190763,
        0.0174212,
        0.0166999,
        0.0167164,
        0.0160392,
        0.0143523,
        0.0129928,
        0.00993293,
        0.0117031,
        0.0122362,
        0.0114096,
        0.0120183,
        0.0107094,
        0.0113732,
        0.0110717,
        0.0121556,
        0.013351,
        0.0127008,
        0.0115533,
        0.011212,
        0.01171,
        0.0122494,
        0.0118703,
        0.0124582,
        0.012303,
        0.0132939,
        0.0125451,
        0.0138553,
        0.0130626,
        0.0131324,
        0.0125943,
        0.0136873,
        0.0123477,
        0.0121854,
        0.0130672,
        0.0134197,
        0.0119912,
        0.0114865,
        0.0126678,
        0.0136232,
        0.015346,
        0.0173949,
        0.0164657,
        0.0139678,
        0.0128648,
        0.0126712,
        0.0129214,
        0.0118369,
        0.0100501,
        0.00892133,
        0.0104555,
        0.010108,
        0.0097849,
        0.0102945,
        0.0109799,
        0.0108256,
        0.0106098,
        0.0104749,
        0.0100762,
        0.00949456,
        0.00903456,
        0.00955594,
        0.00985751,
        0.00868863,
        0.00908673,
        0.0116107,
        0.0109529,
        0.0116121,
        0.00973292,
        0.0101714,
        0.0100069,
        0.0101235,
        0.010191,
        0.0100096,
        0.00970978,
        0.0100152,
        0.0101304,
        0.00938086,
        0.00929296,
        0.0101057,
        0.0103668,
        0.0106375,
        0.0103751,
        0.0101894,
        0.0103406,
        0.0113723,
        0.0109215,
        0.0114466,
        0.0117654,
        0.0111319,
        0.011641,
        0.0148269,
        0.0176434,
        0.0184153,
        0.0183117,
        0.016788,
        0.015009,
        0.0144264,
        0.0137841,
        0.011983,
        0.0104992,
        0.0110198,
        0.0128714,
        0.0136259,
        0.0147887,
        0.012845,
        0.0118082,
        0.0113184,
        0.0129855,
        0.0140826,
        0.0119244,
        0.00974038,
        0.00893695,
        0.0103676,
        0.0103858,
        0.00958913,
        0.00962234,
        0.00994084,
        0.00985777,
        0.00961596,
        0.00977341,
        0.00966171,
        0.0086151,
        0.00928755,
        0.0089642,
        0.0091702,
        0.00892454,
        0.00959866,
        0.0107382,
        0.0101714,
        0.00928169,
        0.00853111,
        0.00947314,
        0.0101097,
        0.010726,
        0.0110539,
        0.010637,
        0.0104246,
        0.0104686,
        0.00987583,
        0.00897127,
        0.00954256,
        0.0104899,
        0.00853574,
        0.00905655,
        0.0100328,
        0.0115063,
        0.0095508,
        0.00859212,
        0.0106339,
        0.00902516,
        0.00870579,
        0.00833952,
        0.00936697,
        0.00924909,
        0.00887211,
        0.010936,
        0.0108346,
        0.0100251,
        0.00865578,
        0.0083912,
        0.00859377,
        0.00923932,
        0.00949418,
        0.00867743,
        0.00824066,
        0.00917666,
        0.00904924,
        0.00890265,
        0.00905803,
        0.00897201,
        0.00932233,
        0.00961865,
        0.00934316,
        0.00899501,
        0.0089369,
        0.00935044,
        0.00863271,
        0.00873967,
        0.0088318,
        0.00892433,
        0.00867669,
        0.00901874,
        0.00927114,
        0.00916998,
        0.00879735,
        0.00903238,
        0.00898983,
        0.00837585,
        0.00842597,
        0.00885079,
        0.0087251,
        0.0083305,
        0.00818387,
        0.00849895,
        0.00869629,
        0.00854972,
        0.00916058,
        0.00924594,
        0.00910753,
        0.00932058,
        0.00909299,
        0.00941828,
        0.0100168,
        0.010552,
        0.0108569,
        0.0110453,
        0.0104021,
        0.00976422,
        0.0090669,
        0.00820265,
        0.00794788,
        0.00880866,
        0.00883309,
        0.00824757,
        0.00819645,
        0.00758354,
        0.00802083,
        0.00771829,
        0.00759564,
        0.00804647,
        0.00799425,
        0.00807231,
        0.00799508,
        0.00797084,
        0.0079046,
        0.00707871,
        0.0068683,
        0.00717386,
        0.00741008,
        0.00764696,
        0.00712964,
        0.00736315,
        0.00755001,
        0.00748783,
        0.00842519,
        0.0078764,
        0.00787393,
        0.00723301,
        0.0075733,
        0.00787951,
        0.0086021,
        0.00871583,
        0.00840483,
        0.0092984,
        0.00969483,
        0.00997439,
        0.0103921,
        0.0106458,
        0.0109961,
        0.0111628,
        0.0122003,
        0.0132067,
        0.0141267,
        0.014095,
        0.0147505,
        0.0167254,
        0.0187646,
        0.0200906,
        0.0207824,
        0.0210348,
        0.0202096,
        0.018647,
        0.0151165,
        0.0150669,
        0.0145812,
        0.0150673,
        0.0154345,
        0.0132762,
        0.0139361,
        0.0142703,
        0.0139172,
        0.0133276,
        0.0132761,
        0.0140089,
        0.013568,
        0.0136863,
        0.0131622,
        0.0133938,
        0.0143152,
        0.0127987,
        0.0138264,
        0.0156971,
        0.0189296,
        0.0212641,
        0.0238145,
        0.0285356,
        0.0334967,
        0.0453998,
        0.0679451,
        0.104989,
        0.141891,
        0.0795659,
        0.0483744,
        0.034268,
        0.0272579,
        0.0205903,
        0.0162596,
        0.0133003,
        0.0128918,
        0.0113354,
        0.0117237,
        0.0103502,
        0.00939387,
        0.0101043,
        0.00999441,
        0.00962428,
        0.00952148,
        0.00942686,
        0.00922642,
        0.00891403,
        0.00833007,
        0.00835035,
        0.00855549,
        0.0085738,
        0.00877905,
        0.00831544,
        0.00788182,
        0.00843859,
        0.00858831,
        0.00864979,
        0.00819988,
        0.00762128,
        0.00766219,
        0.00820759,
        0.00753065,
        0.00730128,
        0.00776152,
        0.00877366,
        0.00831066,
        0.00834681,
        0.0086377,
        0.00826562,
        0.00782539,
        0.00781508,
        0.0076491,
        0.0074341,
        0.00809091,
        0.00830081,
        0.00773708,
        0.00759845,
        0.00756812,
        0.00799908,
        0.0083694,
        0.00797324,
        0.00760159,
        0.00796737,
        0.00773404,
        0.00766766,
        0.0083733,
        0.00804538,
        0.00802691,
        0.00819939,
        0.00905641,
        0.00888289,
        0.00849659,
        0.00807054,
        0.00732824,
        0.00767252,
        0.00835755,
        0.00895773,
        0.00831456,
        0.00783201,
        0.00813422,
        0.00871966,
        0.00874852,
        0.00827377,
        0.00876576,
        0.00913574,
        0.00969178,
        0.0105449,
        0.0112539,
        0.0115681,
        0.0117076,
        0.0130539,
        0.0132969,
        0.013103,
        0.011702,
        0.0109601,
        0.00969142,
        0.0090166,
        0.00879737,
        0.00837479,
        0.00811238,
        0.00803964,
        0.00813266,
        0.00821125,
        0.00835984,
        0.00843398,
        0.00789719,
        0.0080355,
        0.0082995,
        0.00847343,
        0.00941327,
        0.00876898,
        0.0102437,
        0.0109038,
        0.0121554,
        0.010799,
        0.0104695,
        0.0108897,
        0.0103824,
        0.00968958,
        0.00814935,
        0.00829453,
        0.00790049,
        0.00761821,
        0.00852262,
        0.00945705,
        0.00978015,
        0.00965512,
        0.00931669,
        0.00905945,
        0.00972471,
        0.00986067,
        0.00903676,
        0.00860753,
        0.00855333,
        0.00882808,
        0.00852509,
        0.00887349,
        0.00909295,
        0.00956976,
        0.00841815,
        0.00999793,
        0.0124506,
        0.0146104,
        0.0130969,
        0.0114654,
        0.0106341,
        0.0124092,
        0.0149911,
        0.0178711,
        0.0193568,
        0.0174472,
        0.0142135,
        0.0141992,
        0.0123574,
        0.0114801,
        0.0127192,
        0.0129916,
        0.0123077,
        0.0110079,
        0.00984872,
        0.00926756,
        0.00938019,
        0.00900235,
        0.00882257,
        0.0093701,
        0.0114367,
        0.0123427,
        0.01092,
        0.00943007,
        0.00911755,
        0.00953239,
        0.00933369,
        0.00828335,
        0.0085498,
        0.00955723,
        0.00967279,
        0.0108758,
        0.0113828,
        0.010691,
        0.00981702,
        0.0115311,
        0.0128805,
        0.0138999,
        0.012562,
        0.0110987,
        0.00951437,
        0.00973522,
        0.00916421,
        0.00978304,
        0.0121854,
        0.0150442,
        0.0154695,
        0.0128439,
        0.00981306,
        0.00971602,
        0.00954534,
        0.00951796,
        0.00889061,
        0.00921071,
        0.0111279,
        0.0118655,
        0.0104939,
        0.00994528,
        0.0100253,
        0.00961269,
        0.0096616,
        0.00981326,
        0.00928118,
        0.00868784,
        0.00863166,
        0.00978124,
        0.0109037,
        0.0111346,
        0.00960602,
        0.0089563,
        0.00907739,
        0.0087318,
        0.00894104,
        0.00861284,
        0.00908317,
        0.00894008,
        0.00959726,
        0.00993425,
        0.0105904,
        0.0111122,
        0.00965539,
        0.00992275,
        0.00920248,
        0.00933294,
        0.00988461,
        0.00898828,
        0.00858235,
        0.00895314,
        0.00988785,
        0.0127398,
        0.0130803,
        0.0117431,
        0.0111022,
        0.0116108,
        0.0113574,
        0.0098452,
        0.00899382,
        0.00944954,
        0.011459,
        0.0128404,
        0.0117059,
        0.00991669,
        0.00808607,
        0.00787893,
        0.00796601,
        0.00786458,
        0.00765912,
        0.00777135,
        0.00797074,
        0.00977429,
        0.0115767,
        0.0109142,
        0.00832962,
        0.00884009,
        0.00928389,
        0.00994543,
        0.00970946,
        0.00854754,
        0.00955508,
        0.00980352,
        0.0112444,
        0.0130868,
        0.012783,
        0.0139118,
        0.0126649,
        0.0103938,
        0.0101031,
        0.011993,
        0.0123169,
        0.0126643,
        0.0104449,
        0.00975558,
        0.0090131,
        0.00826771,
        0.00722602,
        0.00948454,
        0.00962444,
        0.0106196,
        0.011317,
        0.0113747,
        0.0109224,
        0.010767,
        0.0106117,
        0.00922752,
        0.00913498,
        0.0102657,
        0.0104056,
        0.0105828,
        0.00982676,
        0.00877927,
        0.00894361,
        0.00970764,
        0.0124229,
        0.0144358,
        0.0135222,
        0.0112345,
        0.00944692,
        0.00854376,
        0.00928473,
        0.00833526,
        0.00813059,
        0.00903964,
        0.0106059,
        0.0101377,
        0.0115009,
        0.0110364,
        0.00989058,
        0.0110396,
        0.0119214,
        0.01089,
        0.011049,
        0.0140714,
        0.0105854,
        0.0121783,
        0.0119402,
        0.0132526,
        0.0158013,
        0.0180585,
        0.0133492,
        0.0121035,
        0.0111017,
        0.0102225,
        0.00892353,
        0.00855229,
        0.0086891,
        0.00909695,
        0.00854077,
        0.00979941,
        0.00989335,
        0.00938955,
        0.0107637,
        0.0116771,
        0.00984384,
        0.00816189,
        0.00748417,
        0.00658104,
        0.00704136,
        0.0074429,
        0.00721139,
        0.00772909,
        0.00834247,
        0.00833745,
        0.00790667,
        0.00820605,
        0.00801233,
        0.00823708,
        0.0094676,
        0.00992793,
        0.00971508,
        0.00940576,
        0.00927852,
        0.00986413,
        0.0108227,
        0.0104295,
        0.00967533,
        0.00942768,
        0.00860577,
        0.00863708,
        0.00955625,
        0.0102935,
        0.0089975,
        0.00968285,
        0.0122209,
        0.0124884,
        0.0113434,
        0.00979873,
        0.0108922,
        0.0118663,
        0.0127619,
        0.0120854,
        0.00974336,
        0.00970315,
        0.00953113,
        0.0106755,
        0.0104444,
        0.00896277,
        0.00829847,
        0.00958383,
        0.00942837,
        0.0112158,
        0.0131094,
        0.0133689,
        0.0131635,
        0.013161,
        0.0178704,
        0.0251273,
        0.0679261,
        0.0567251,
        0.0282654,
        0.016721,
        0.0147915,
        0.0159148,
        0.0191796,
        0.0200315,
        0.0144134,
        0.0108117,
        0.0106413,
        0.00974089,
        0.00891286,
        0.0098244,
        0.0112038,
        0.0116023,
        0.011137,
        0.01133,
        0.0117336,
        0.0129301,
        0.0145063,
        0.0171827,
        0.0178368,
        0.0168644,
        0.0161744,
        0.0155872,
        0.0147504,
        0.017035,
        0.0198352,
        0.0191406,
        0.0196979,
        0.0208648,
        0.0225859,
        0.0241135,
        0.0233066,
        0.0188524,
        0.0176216,
        0.016344,
        0.0150552,
        0.0116533,
        0.0115629,
        0.0142643,
        0.0137835,
        0.0127037,
        0.0143093,
        0.0170328,
        0.020981,
        0.026968,
        0.0277464,
        0.0303422,
        0.0318999,
        0.0304253,
        0.0353202,
        0.0401046,
        0.0414821,
        0.0451652,
        0.040122,
        0.0368035,
        0.0335711,
        0.0417488,
        0.0492973,
        0.0543067,
        0.0698742,
        0.100612,
        0.114765,
        0.0757111,
        0.0478307,
        0.0322869,
        0.0273692,
        0.0279297,
        0.0294639,
        0.0287896,
        0.0248814,
        0.0221247,
        0.0220058,
        0.0219121,
        0.0163843,
        0.0150911,
        0.0145078,
        0.0135951,
        0.0135649,
        0.0156562,
        0.0149671,
        0.0143689,
        0.0153634,
        0.0167437,
        0.0213735,
        0.0256287,
        0.0221943,
        0.016645,
        0.0188801,
        0.0182766,
        0.0171346,
        0.0157638,
        0.0157695,
        0.0169617,
        0.0155767,
        0.0150259,
        0.0159152,
        0.0133354,
        0.0134341,
        0.0151188,
        0.0143594,
        0.0140786,
        0.0130805,
        0.0101163,
        0.0107037,
        0.0120539,
        0.0103207,
        0.0098923,
        0.00986414,
        0.0112432,
        0.0111368,
        0.0108562,
        0.0132085,
        0.0168439,
        0.0152016,
        0.0143122,
        0.0125592,
        0.0119672,
        0.010601,
        0.0100377,
        0.0110574,
        0.0114944,
        0.00953382,
        0.0085054,
        0.00880529,
        0.0085504,
        0.00915995,
        0.00926097,
        0.00844969,
        0.00813496,
        0.0102934,
        0.0109873,
        0.0124893,
        0.0127155,
        0.0120014,
        0.0139215,
        0.0126622,
        0.0117658,
        0.0105209,
        0.0103745,
        0.0100797,
        0.00966126,
        0.0101883,
        0.0102626,
        0.011002,
        0.0114404,
        0.0106929,
        0.0101524,
        0.00987697,
        0.00919127,
        0.00960489,
        0.0100799,
        0.0107408,
        0.0116775,
        0.0129254,
        0.013551,
        0.0124012,
        0.0124486,
        0.0153337,
        0.0190147,
        0.0197973,
        0.0167089,
        0.0151224,
        0.0162703,
        0.0152375,
        0.0150108,
        0.0167583,
        0.0172827,
        0.017218,
        0.0183768,
        0.0214925,
        0.0242601,
        0.0274842,
        0.0307055,
        0.0348262,
        0.0436968,
        0.0504369,
        0.0554506,
        0.0572889,
        0.0558907,
        0.0451217,
        0.0379627,
        0.0340967,
        0.0355068,
        0.0281028,
        0.0263067,
        0.0268206,
        0.0289647,
        0.0219593,
        0.0190537,
        0.0177059,
        0.0167135,
        0.015942,
        0.0146278,
        0.0140686,
        0.0146503,
        0.0139447,
        0.0152345,
        0.0138742,
        0.0128742,
        0.0122884,
        0.0113394,
        0.0103861,
        0.0113368,
        0.0112608,
        0.0109429,
        0.0103508,
        0.0106154,
        0.0113943,
        0.0109369,
        0.0125875,
        0.0138919,
        0.0155963,
        0.014885,
        0.0127352,
        0.0129911,
        0.0120636,
        0.0118473,
        0.0141486,
        0.0144846,
        0.0155351,
        0.0143566,
        0.012091,
        0.0107902,
        0.0111356,
        0.0109926,
        0.0105239,
        0.0110894,
        0.0116871,
        0.0118563,
        0.0123496,
        0.0119603,
        0.0119628,
        0.0126257,
        0.0122586,
        0.0127996,
        0.0145491,
        0.0147414,
        0.0166704,
        0.0169658,
        0.0182745,
        0.0184711,
        0.0181774,
        0.0177663,
        0.0177428,
        0.0186217,
        0.019193,
        0.0176257,
        0.016027,
        0.0151338,
        0.0146871,
        0.0131925,
        0.0132379,
        0.0135664,
        0.0132679,
        0.0123412,
        0.0122734,
        0.0111456,
        0.0118968,
        0.0123569,
        0.012461,
        0.0126924,
        0.0147385,
        0.0152854,
        0.0159426,
        0.0182488,
        0.0218138,
        0.022633,
        0.0208068,
        0.0184786,
        0.0157342,
        0.0149161,
        0.0139319,
        0.0122466,
        0.011139,
        0.0107991,
        0.0108107,
        0.0106081,
        0.0107626,
        0.010599,
        0.0104643,
        0.0113408,
        0.0120683,
        0.0112182,
        0.0105678,
        0.0106241,
        0.0103298,
        0.011397,
        0.01425,
        0.0191038,
        0.020901,
        0.0179895,
        0.0152894,
        0.0156025,
        0.0131731,
        0.0115365,
        0.0109211,
        0.0104789,
        0.0103204,
        0.0110369,
        0.0103008,
        0.0109949,
        0.0118315,
        0.00984064,
        0.00966634,
        0.00929933,
        0.0106396,
        0.00983241,
        0.0101347,
        0.00970087,
        0.00997926,
        0.0106917,
        0.011728,
        0.0135505,
        0.0130988,
        0.0125779,
        0.0111711,
        0.0101757,
        0.0109939,
        0.0112108,
        0.0102186,
        0.0099758,
        0.00916074,
        0.00956191,
        0.0100834,
        0.00938793,
        0.00972442,
        0.00966452,
        0.00969625,
        0.0093717,
        0.00968241,
        0.0107591,
        0.0108517,
        0.0101052,
        0.0105004,
        0.0100882,
        0.00976658,
        0.00898814,
        0.00952482,
        0.00952995,
        0.00911417,
        0.00934439,
        0.00916067,
        0.00990212,
        0.010524,
        0.0118237,
        0.0120603,
        0.0135566,
        0.0124183,
        0.0111222,
        0.0108558,
        0.0104145,
        0.00986526,
        0.0100684,
        0.010299,
        0.0113524,
        0.0121483,
        0.0154539,
        0.0157672,
        0.0128788,
        0.0109413,
        0.0101006,
        0.0101204,
        0.011653,
        0.0109781,
        0.0111087,
        0.010943,
        0.0112163,
        0.011337,
        0.0112447,
        0.0100937,
        0.0093957,
        0.0102892,
        0.0101786,
        0.0109631,
        0.0113357,
        0.0118332,
        0.0111921,
        0.0100253,
        0.0105447,
        0.0103839,
        0.0101148,
        0.00997296,
        0.0103306,
        0.0110073,
        0.0109121,
        0.00993787,
        0.011051,
        0.0121975,
        0.014552,
        0.0194306,
        0.020789,
        0.0171137,
        0.0128965,
        0.0110611,
        0.0107464,
        0.0111793,
        0.0116543,
        0.0109722,
        0.0101272,
        0.00991096,
        0.00964453,
        0.0097648,
        0.00997675,
        0.00987996,
        0.0101016,
        0.010633,
        0.0110972,
        0.0101742,
        0.0101029,
        0.00975105,
        0.00951733,
        0.00994623,
        0.0104885,
        0.0122577,
        0.013493,
        0.0151172,
        0.0127487,
        0.0125449,
        0.0107283,
        0.00924884,
        0.0101769,
        0.00961976,
        0.00887582,
        0.00960858,
        0.0104531,
        0.00945354,
        0.00938421,
        0.0110279,
        0.0110002,
        0.00981294,
        0.0105011,
        0.0106074,
        0.0113065,
        0.0118936,
        0.0114581,
        0.0132078,
        0.0140639,
        0.0135313,
        0.0142521,
        0.0137168,
        0.0136425,
        0.0127478,
        0.0115335,
        0.0117918,
        0.0114443,
        0.010002,
        0.00980328,
        0.0105641,
        0.0125748,
        0.0141556,
        0.0128316,
        0.0113975,
        0.0109948,
        0.0109832,
        0.0100692,
        0.0095763,
        0.0103016,
        0.0114131,
        0.0111191,
        0.0108501,
        0.0118591,
        0.0116908,
        0.0115765,
        0.0119336,
        0.0118156,
        0.0126961,
        0.0134849,
        0.0137214,
        0.0162491,
        0.0205754,
        0.0223532,
        0.0190877,
        0.0161452,
        0.0160275,
        0.0171076,
        0.0185615,
        0.0189632,
        0.0189359,
        0.0189719,
        0.0194285,
        0.0203048,
        0.0185859,
        0.0146382,
        0.0128196,
        0.0135535,
        0.0160434,
        0.0180714,
        0.0171938,
        0.0159346,
        0.0152286,
        0.0132002,
        0.0124647,
        0.0142823,
        0.0159655,
        0.0158747,
        0.0150741,
        0.0167048,
        0.0210083,
        0.0268508,
        0.0283777,
        0.0253701,
        0.0185174,
        0.0170747,
        0.0161964,
        0.0161242,
        0.0156904,
        0.0157118,
        0.0172119,
        0.0158757,
        0.0159197,
        0.0198142,
        0.0245042,
        0.0275562,
        0.0435164,
        0.028967,
        0.0243841,
        0.0224899,
        0.0172663,
        0.0167226,
        0.0155343,
        0.0130203,
        0.013635,
        0.012013,
        0.0116529,
        0.0121492,
        0.0131851,
        0.0124013,
        0.0113479,
        0.0116477,
        0.0115979,
        0.0125846,
        0.0133848,
        0.0126785,
        0.012031,
        0.0126538,
        0.0118074,
        0.0113769,
        0.01388,
        0.0123047,
        0.0139927,
        0.0158522,
        0.0149991,
        0.0137603,
        0.0149562,
        0.0202419,
        0.0196735,
        0.0160514,
        0.0141059,
        0.012577,
        0.0131235,
        0.0133501,
        0.0174207,
        0.0202679,
        0.0182317,
        0.0164185,
        0.0138828,
        0.011522,
        0.0114593,
        0.0122505,
        0.0121219,
        0.0125535,
        0.0126789,
        0.0107178,
        0.0101664,
        0.0112097,
        0.0114776,
        0.0109123,
        0.0110091,
        0.0109231,
        0.00967429,
        0.0104012,
        0.0104323,
        0.00965397,
        0.0102343,
        0.0103733,
        0.00977737,
        0.0101568,
        0.0099212,
        0.00947273,
        0.00939164,
        0.0109223,
        0.0105205,
        0.00935365,
        0.00925402,
        0.0101504,
        0.0110553,
        0.0118026,
        0.012203,
        0.0159011,
        0.0177678,
        0.0211701,
        0.0186961,
        0.0133209,
        0.0120883,
        0.0114511,
        0.0113314,
        0.0135865,
        0.0139045,
        0.0119961,
        0.0142648,
        0.0119422,
        0.0114543,
        0.0119962,
        0.0106381,
        0.0111329,
        0.0112332,
        0.0101447,
        0.00934053,
        0.00940867,
        0.0098821,
        0.00883272,
        0.00887528,
        0.00997376,
        0.0106819,
        0.010282,
        0.0127175,
        0.0180971,
        0.0163508,
        0.013463,
        0.0110041,
        0.0120917,
        0.00984399,
        0.00992532,
        0.0117571,
        0.0115666,
        0.0104078,
        0.0116741,
        0.0106412,
        0.0123193,
        0.0109774,
        0.011946,
        0.0100805,
        0.010041,
        0.0114557,
        0.0110112,
        0.0113384,
        0.0122666,
        0.0113096,
        0.0126489,
        0.0108156,
        0.00970384,
        0.0108648,
        0.0103587,
        0.0111845,
        0.0123405,
        0.0139527,
        0.0171308,
        0.0182333,
        0.0146012,
        0.0118724,
        0.0107061,
        0.0100837,
        0.0107417,
        0.01215,
        0.0115157,
        0.0110352,
        0.0111604,
        0.00966328,
        0.00973818,
        0.00890168,
        0.00911195,
        0.00951516,
        0.00911176,
        0.00947063,
        0.00909945,
        0.0103919,
        0.00931083,
        0.00915417,
        0.00926931,
        0.0092933,
        0.0105292,
        0.0129299,
        0.0122373,
        0.0106989,
        0.0096896,
        0.0100608,
        0.00975772,
        0.00998657,
        0.0100446,
        0.0102597,
        0.00948429,
        0.0131153,
        0.0152639,
        0.0192621,
        0.0197823,
        0.0174082,
        0.0132024,
        0.0109514,
        0.0113721,
        0.0112047,
        0.0113199,
        0.0105416,
        0.00965872,
        0.0108156,
        0.0113371,
        0.0114281,
        0.0115091,
        0.00988088,
        0.0104246,
        0.0121488,
        0.0140268,
        0.0180571,
        0.0190487,
        0.0167771,
        0.0136339,
        0.0120157,
        0.0116782,
        0.0115989,
        0.0140423,
        0.0154577,
        0.0139533,
        0.0142032,
        0.013581,
        0.0128986,
        0.0127756,
        0.0117424,
        0.0122302,
        0.0126223,
        0.0122738,
        0.0123204,
        0.0109187,
        0.0111701,
        0.0117937,
        0.0126747,
        0.013005,
        0.0150535,
        0.0154974,
        0.0127837,
        0.0125747,
        0.0116519,
        0.0113029,
        0.0129435,
        0.0118027,
        0.0122784,
        0.013816,
        0.0162663,
        0.0170012,
        0.0152401,
        0.0141783,
        0.0159265,
        0.0186861,
        0.0189462,
        0.0162993,
        0.0141155,
        0.0128386,
        0.0120315,
        0.0116446,
        0.0121837,
        0.0137309,
        0.0135868,
        0.0128334,
        0.0136031,
        0.0131014,
        0.0119141,
        0.0114304,
        0.0110125,
        0.0115347,
        0.0123111,
        0.0120005,
        0.0121828,
        0.0111156,
        0.0105236,
        0.0105024,
        0.00973638,
        0.0100317,
        0.0106022,
        0.00982479,
        0.010826,
        0.0117395,
        0.0120181,
        0.0108863,
        0.0108888,
        0.0123376,
        0.0114147,
        0.011869,
        0.012514,
        0.013256,
        0.0140887,
        0.0176834,
        0.0199418,
        0.0190444,
        0.0212423,
        0.022469,
        0.0300449,
        0.0339434,
        0.0307652,
        0.026764,
        0.0297763,
        0.029637,
        0.0315841,
        0.0355171,
        0.0402874,
        0.0555,
        0.0612581,
        0.0561772,
        0.0460394,
        0.0382904,
        0.0414194,
        0.0474629,
        0.0422637,
        0.0297114,
        0.0241327,
        0.021933,
        0.0230566,
        0.0207492,
        0.0198876,
        0.0183298,
        0.0175276,
        0.0155906,
        0.0151462,
        0.014599,
        0.0142148,
        0.0170962,
        0.0162254,
        0.0162707,
        0.0157784,
        0.0137023,
        0.0128389,
        0.0141863,
        0.0178002,
        0.0169379,
        0.0166183,
        0.0154698,
        0.0138698,
        0.0134791,
        0.0126317,
        0.0132524,
        0.0136334,
        0.0130927,
        0.0123489,
        0.0154536,
        0.0168714,
        0.0170474,
        0.0163693,
        0.0154364,
        0.0139825,
        0.0131723,
        0.0112344,
        0.0107054,
        0.0104135,
        0.0121744,
        0.0117337,
        0.0116588,
        0.0125888,
        0.0127694,
        0.0121097,
        0.0120239,
        0.0141063,
        0.0181077,
        0.0191436,
        0.0186802,
        0.0139536,
        0.0120408,
        0.0101865,
        0.0116185,
        0.0118484,
        0.0115702,
        0.0103719,
        0.0122218,
        0.00973698,
        0.0113913,
        0.0130899,
        0.0102388,
        0.00983349,
        0.0123127,
        0.014314,
        0.0127722,
        0.010035,
        0.0110121,
        0.0120315,
        0.0106285,
        0.0127894,
        0.0135889,
        0.0153684,
        0.0154492,
        0.0179415,
        0.0165128,
        0.0145152,
        0.0126895,
        0.0137727,
        0.0123315,
        0.0120108,
        0.01293,
        0.0132034,
        0.0160884,
        0.016053,
        0.0134163,
        0.0133683,
        0.0153727,
        0.0162139,
        0.0173471,
        0.0181253,
        0.0214486,
        0.0283758,
        0.0375568,
        0.0397879,
        0.0392954,
        0.0355391,
        0.0292184,
        0.0252472,
        0.0247217,
        0.0261501,
        0.0292749,
        0.0328436,
        0.0326741,
        0.0294545,
        0.0249404,
        0.0209683,
        0.0215539,
        0.0238937,
        0.0263383,
        0.0233021,
        0.0186946,
        0.0179137,
        0.0164203,
        0.0149276,
        0.0156199,
        0.0181021,
        0.018946,
        0.0192969,
        0.0196683,
        0.0194672,
        0.0183469,
        0.0177951,
        0.0180733,
        0.0190212,
        0.019936,
        0.0203511,
        0.0215331,
        0.0238925,
        0.0272168,
        0.030949,
        0.0395551,
        0.0485574,
        0.0394053,
        0.0372783,
        0.0362375,
        0.0371241,
        0.0343959,
        0.0250756,
        0.0188692,
        0.0164826,
        0.0152934,
        0.0147068,
        0.0150071,
        0.0147884,
        0.0140808,
        0.0134451,
        0.0123895,
        0.0134497,
        0.0131663,
        0.0115272,
        0.0101199,
        0.0120079,
        0.0142693,
        0.0144792,
        0.0134777,
        0.0144653,
        0.0135861,
        0.0118589,
        0.0121758,
        0.0136446,
        0.014009,
        0.0112624,
        0.0106799,
        0.0120481,
        0.0133707,
        0.0136721,
        0.0134595,
        0.0119687,
        0.0115427,
        0.0116493,
        0.0134622,
        0.0128669,
        0.0125941,
        0.0144355,
        0.0151514,
        0.0165154,
        0.021137,
        0.0220723,
        0.018802,
        0.0145146,
        0.0156804,
        0.0143205,
        0.0139887,
        0.0154933,
        0.0147416,
        0.0144606,
        0.0125598,
        0.012589,
        0.0125578,
        0.0133831,
        0.0131366,
        0.0127121,
        0.0131644,
        0.0131463,
        0.0135796,
        0.0136818,
        0.0134269,
        0.0147378,
        0.0129301,
        0.0133507,
        0.0143111,
        0.0169288,
        0.0180896,
        0.0164672,
        0.0138641,
        0.0127949,
        0.0126326,
        0.0119455,
        0.0124752,
        0.0123583,
        0.0116706,
        0.0114341,
        0.0117307,
        0.0112844,
        0.0126997,
        0.0129585,
        0.0120047,
        0.0124235,
        0.0133477,
        0.0149219,
        0.0149133,
        0.0126439,
        0.0130587,
        0.013534,
        0.0119953,
        0.0125903,
        0.0133484,
        0.0126715,
        0.0119378,
        0.012793,
        0.0125166,
        0.0133499,
        0.0135851,
        0.0139732,
        0.0153823,
        0.0160983,
        0.0197297,
        0.017721,
        0.0136546,
        0.012622,
        0.0137428,
        0.0138686,
        0.0158015,
        0.0159023,
        0.0138816,
        0.014065,
        0.0171436,
        0.0177242,
        0.0233478,
        0.0216715,
        0.0171084,
        0.0167318,
        0.0159696,
        0.0143477,
        0.0147182,
        0.0159426,
        0.014785,
        0.0170666,
        0.0183522,
        0.017074,
        0.0143322,
        0.0126873,
        0.0148792,
        0.0158945,
        0.0153187,
        0.0159894,
        0.017632,
        0.0158831,
        0.0159196,
        0.0163907,
        0.0151525,
        0.0163278,
        0.0168347,
        0.0174603,
        0.0171237,
        0.0173726,
        0.0199756,
        0.0213543,
        0.0236951,
        0.0244374,
        0.0223627,
        0.0207077,
        0.0197292,
        0.0187937,
        0.018399,
        0.0174741,
        0.0178038,
        0.0195436,
        0.0201923,
        0.0192179,
        0.019,
        0.0218603,
        null,
        0.0220218,
        0.0217595,
        0.0214972,
        0.0212349,
        0.0206406,
        0.0198276,
        0.0220414,
        0.0217325,
        0.0203854,
        0.0187749,
        0.0176369,
        0.0169638,
        0.0155596,
        0.0139089,
        0.013939,
        0.0142028,
        0.014507,
        0.0149718,
        0.0158057,
        0.0157032,
        0.015132,
        0.0146329,
        0.0146555,
        0.0140536,
        0.0135366,
        0.0135182,
        0.0141036,
        0.014587,
        0.0137564,
        0.0134731,
        0.0138668,
        0.0131938,
        0.0138024,
        0.0141895,
        0.0146557,
        0.0162696,
        0.015167,
        0.0147989,
        0.0144831,
        0.0133013,
        0.0130346,
        0.0128459,
        0.0129614,
        0.0135203,
        0.0144322,
        0.0141248,
        0.0134766,
        0.0130749,
        0.013898,
        0.0138043,
        0.0138294,
        0.0139613,
        0.0136759,
        0.0140173,
        0.0134567,
        0.012485,
        0.0118975,
        0.0123511,
        0.0123716,
        0.0127418,
        0.013935,
        0.0136727,
        0.0124624,
        0.0118596,
        0.0123151,
        0.0121135,
        0.011881,
        0.0119477,
        0.0124169,
        0.0133132,
        0.0141249,
        0.0138207,
        0.0129964,
        0.0127433,
        0.0128297,
        0.0138635,
        0.0145886,
        0.0139588,
        0.0129932,
        0.0130492,
        0.013661,
        0.0143394,
        0.0136321,
        0.0126171,
        0.0124492,
        0.0129604,
        0.0126859,
        0.0125964,
        0.0123552,
        0.0120587,
        0.0119296,
        0.0116755,
        0.0119654,
        0.0125006,
        0.0129353,
        0.0130214,
        0.0129241,
        0.0123817,
        0.0115397,
        0.0120618,
        0.0124129,
        0.0120722,
        0.0115185,
        0.0125558,
        0.0125104,
        0.0122596,
        0.0120309,
        0.0120005,
        0.0118623,
        0.0121147,
        0.0121578,
        0.0115405,
        0.0129439,
        0.0130231,
        0.0123863,
        0.0116963,
        0.0127457,
        0.0118928,
        0.0116904,
        0.0123919,
        0.0125666,
        0.0115588,
        0.0112797,
        0.011486,
        0.0113914,
        0.0112503,
        0.0111527,
        0.0109853,
        0.0106768,
        0.010758,
        0.0112055,
        0.0115736,
        0.0115963,
        0.0110007,
        0.0106745,
        0.0107275,
        0.0111093,
        0.011615,
        0.0104718,
        0.0104725,
        0.0110184,
        0.0107386,
        0.0117518,
        0.012386,
        0.0122967,
        0.0113556,
        0.0116143,
        0.01145,
        0.0113174,
        0.0113713,
        0.0112889,
        0.0114258,
        0.0112555,
        0.0109478,
        0.0112802,
        0.0105808,
        0.0104258,
        0.0106415,
        0.0107955,
        0.011118,
        0.0105157,
        0.00993375,
        0.0100866,
        0.011045,
        0.0107308,
        0.0104469,
        0.0107781,
        0.0118889,
        0.0119126,
        0.0116326,
        0.0112115,
        0.0106867,
        0.0115472,
        0.0120669,
        0.0122771,
        0.0123505,
        0.0110967,
        0.0111424,
        0.0120281,
        0.0132409,
        0.0131205,
        0.0130133,
        0.0137453,
        0.0150117,
        0.0149027,
        0.0150352,
        0.0160656,
        0.0172814,
        0.0172472,
        0.0150795,
        0.0147576,
        0.0150822,
        0.0148955,
        0.0160829,
        0.0160986,
        0.0159173,
        0.0159349,
        0.0155411,
        0.0139272,
        0.0127734,
        0.0123954,
        0.012544,
        0.0131435,
        0.0132189,
        0.012949,
        0.012716,
        0.0122442,
        0.0119967,
        0.011739,
        0.0114771,
        0.0127587,
        0.0133394,
        0.0135341,
        0.0136503,
        0.014369,
        0.0148275,
        0.0148748,
        0.014701,
        0.0147082,
        0.0138912,
        0.0139054,
        0.0140578,
        0.0135539,
        0.0128386,
        0.013275,
        0.013849,
        0.0139944,
        0.0136642,
        0.013048,
        0.0132623,
        0.0138635,
        0.0129895,
        0.0118333,
        0.0120883,
        0.0130879,
        0.0137152,
        0.0132683,
        0.01288,
        0.0126205,
        0.0126366,
        0.0138926,
        0.0121938,
        0.0109388,
        0.0112543,
        0.0125881,
        0.0122114,
        0.0115731,
        0.0110327,
        0.010792,
        0.0104936,
        0.0110763,
        0.0111766,
        0.00975992,
        0.010443,
        0.0103614,
        0.0103443,
        0.0107919,
        0.011719,
        0.0109996,
        0.0109346,
        0.0113847,
        0.0109106,
        0.011453,
        0.0109483,
        0.0102668,
        0.0105479,
        0.0112361,
        0.0126044,
        0.0131239,
        0.0121099,
        0.0110627,
        0.0107074,
        0.0103136,
        0.00990823,
        0.0101714,
        0.0104155,
        0.0109744,
        0.0113706,
        0.010903,
        0.0114443,
        0.0110445,
        0.0104691,
        0.0103743,
        0.0113585,
        0.0112618,
        0.0112999,
        0.0115612,
        0.010701,
        0.0106619,
        0.010886,
        0.0112102,
        0.0115048,
        0.0116461,
        0.0115127,
        0.011204,
        0.0108766,
        0.0113813,
        0.0110125,
        0.0106759,
        0.0106658,
        0.0105547,
        0.0100444,
        0.00974725,
        0.00999603,
        0.0112121,
        0.0113813,
        0.0114829,
        0.0116447,
        0.0118884,
        0.0113002,
        0.0114895,
        0.0114274,
        0.0109448,
        0.011813,
        0.0116557,
        0.0110386,
        0.0104443,
        0.0106803,
        0.0108384,
        0.0113917,
        0.0117431,
        0.0112424,
        0.0112041,
        0.0113472,
        0.0113729,
        0.0111371,
        0.0108182,
        0.0113844,
        0.0115405,
        0.0112274,
        0.0112336,
        0.0112198,
        0.0115617,
        0.0119618,
        0.0119994,
        0.0110251,
        0.0104337,
        0.0106205,
        0.0115424,
        0.0113811,
        0.0110836,
        0.0111051,
        0.0115294,
        0.0122184,
        0.0120433,
        0.0121499,
        0.0121392,
        0.0113571,
        0.0120224,
        0.0122042,
        0.0123355,
        0.0126072,
        0.0121747,
        0.0120908,
        0.0125806,
        0.0131906,
        0.0124852,
        0.0115169,
        0.0113723,
        0.0117461,
        0.0120545,
        0.0133827,
        0.0136159,
        0.0134364,
        0.0132949,
        0.0130751,
        0.0142022,
        0.0151171,
        0.0154367,
        0.015598,
        0.0155758,
        0.0155937,
        0.0157181,
        0.0159907,
        0.0162875,
        0.0163594,
        0.0163248,
        0.0161877,
        0.0153425,
        0.0146183,
        0.0141045,
        0.0137301,
        0.0131925,
        0.0122873,
        0.0120138,
        0.0123265,
        0.0129708,
        0.01293,
        0.0123575,
        0.0117844,
        0.0116892,
        0.0127978,
        0.0127775,
        0.0126571,
        0.0127222,
        0.0128825,
        0.0120293,
        0.0112275,
        0.0109556,
        0.0115875,
        0.0111589,
        0.0112195,
        0.0114781,
        0.0117766,
        0.0123387,
        0.0114298,
        0.0115337,
        0.0125993,
        0.0128195,
        0.0134722,
        0.0128125,
        0.0117273,
        0.0114437,
        0.0125923,
        0.012886,
        0.0124952,
        0.011638,
        0.0110188,
        0.0112073,
        0.0111837,
        0.0108902,
        0.0107979,
        0.0112462,
        0.0114383,
        0.0114653,
        0.0114769,
        0.0114021,
        0.0107526,
        0.0105082,
        0.0109142,
        0.0107484,
        0.0138022,
        0.0147985,
        0.0146943,
        0.0178355,
        0.0264745,
        0.0286028,
        0.0239636,
        0.0138575,
        0.0122963,
        0.0110556,
        0.0105917,
        0.010833,
        0.0106175,
        0.0111146,
        0.0118871,
        0.0120957,
        0.010477,
        0.00993237,
        0.00978243,
        0.00985641,
        0.0100257,
        0.0103204,
        0.0103384,
        0.00984889,
        0.00912403,
        0.00929535,
        0.00970809,
        0.0106885,
        0.0116031,
        0.0115426,
        0.0105207,
        0.0101272,
        0.0102457,
        0.0106147,
        0.0102331,
        0.00979295,
        0.00979379,
        0.0100924,
        0.00990542,
        0.00931012,
        0.00939209,
        0.00984736,
        0.0101776,
        0.010242,
        0.0100225,
        0.0102296,
        0.0111034,
        0.0118661,
        0.0132111,
        0.012036,
        0.00979684,
        0.010567,
        0.0107611,
        0.010716,
        0.0104984,
        0.0101771,
        0.00988717,
        0.00965643,
        0.00954176,
        0.00979159,
        0.0112245,
        0.00976763,
        0.00884185,
        0.00878219,
        0.00933003,
        0.00889906,
        0.00993404,
        0.0110551,
        0.0112683,
        0.010667,
        0.0109192,
        0.0115749,
        0.0121705,
        0.0118897,
        0.011781,
        0.0116143,
        0.011282,
        0.0107026,
        0.0105008,
        0.0103893,
        0.0101037,
        0.0096425,
        0.00966824,
        0.00970097,
        0.00928511,
        0.00911003,
        0.0106834,
        0.0101482,
        0.0101063,
        0.00998669,
        0.00931521,
        0.00916904,
        0.00925123,
        0.00943722,
        0.00970039,
        0.0101111,
        0.00976572,
        0.00909312,
        0.00865188,
        0.00913567,
        0.0102039,
        0.0104835,
        0.0102911,
        0.00988908,
        0.00954342,
        0.00943111,
        0.010053,
        0.0109601,
        0.0108366,
        0.00937606,
        0.00911636,
        0.0094232,
        0.00953084,
        0.00945536,
        0.0102071,
        0.0104858,
        0.0101354,
        0.0107544,
        0.0110477,
        0.0106907,
        0.00998272,
        0.00943207,
        0.00991965,
        0.0103847,
        0.0107436,
        0.0109725,
        0.0112272,
        0.0115503,
        0.0113935,
        0.010826,
        0.0103354,
        0.0105223,
        0.0108082,
        0.0109307,
        0.0106477,
        0.00957143,
        0.0094717,
        0.0103808,
        0.0116845,
        0.0111917,
        0.0111684,
        0.0111275,
        0.0112947,
        0.0121484,
        0.0129445,
        0.0132337,
        0.0130503,
        0.0127251,
        0.0140878,
        0.0153706,
        0.0166648,
        0.018088,
        0.019874,
        0.017753,
        0.0189707,
        0.0208134,
        0.0199725,
        0.0187252,
        0.0175625,
        0.0156868,
        0.0133064,
        0.0123066,
        0.0113933,
        0.0110015,
        0.0113085,
        0.0124741,
        0.0122086,
        0.0113537,
        0.0108726,
        0.0112473,
        0.0114725,
        0.011248,
        0.0114102,
        0.0116022,
        0.0106593,
        0.0110941,
        0.0115209,
        0.0115358,
        0.0109348,
        0.010457,
        0.0106277,
        0.0109326,
        0.0110237,
        0.0104252,
        0.0112293,
        0.0117252,
        0.0119841,
        0.0123748,
        0.0119682,
        0.0116371,
        0.0115714,
        0.0118336,
        0.0122456,
        0.0118772,
        0.0115668,
        0.0116391,
        0.0123417,
        0.0126371,
        0.0131739,
        0.0131671,
        0.0123404,
        0.0126561,
        0.0131892,
        0.0132018,
        0.012783,
        0.0128272,
        0.0128993,
        0.013415,
        0.0134345,
        0.0121321,
        0.0131681,
        0.0138102,
        0.0144211,
        0.0153587,
        0.0173199,
        0.01616,
        0.0158522,
        0.0169784,
        0.0194411,
        0.0220536,
        0.024385,
        0.0290701,
        0.0380453,
        0.0534167,
        0.0155528,
        0.0148657,
        0.0142682,
        0.0145298,
        0.0141906,
        0.0133576,
        0.0121922,
        0.0110633,
        0.0124609,
        0.0125222,
        0.011897,
        0.0120312,
        0.0125405,
        0.0123818,
        0.0122773,
        0.0123871,
        0.0116601,
        0.0111771,
        0.0106829,
        0.0104841,
        0.0111387,
        0.0115063,
        0.0117865,
        0.011673,
        0.0110526,
        0.0105328,
        0.0106618,
        0.0110861,
        0.0111956,
        0.00989519,
        0.0109017,
        0.0114282,
        0.0114966,
        0.0112852,
        0.0108261,
        0.0109962,
        0.0109475,
        0.0105461,
        0.0101168,
        0.0113186,
        0.011495,
        0.0110562,
        0.0106758,
        0.0110588,
        0.010901,
        0.0107012,
        0.0105086,
        0.0098216,
        0.0107714,
        0.0108937,
        0.0103229,
        0.00968823,
        0.0103648,
        0.0101785,
        0.0100542,
        0.0103264,
        0.0102343,
        0.0106255,
        0.0101764,
        0.00954713,
        0.00990914,
        0.0100012,
        0.0103096,
        0.010562,
        0.0105587,
        0.0101116,
        0.010087,
        0.0106698,
        0.0112378,
        0.0106076,
        0.0111459,
        0.0106723,
        0.0102816,
        0.010705,
        0.010742,
        0.0104168,
        0.0104989,
        0.0107484,
        0.0103099,
        0.0107044,
        0.0108411,
        0.0105839,
        0.00994117,
        0.00955551,
        0.0098169,
        0.0101103,
        0.0100791,
        0.0093932,
        0.00887889,
        0.00909138,
        0.00928432,
        0.00882921,
        0.00877729,
        0.00911366,
        0.0091442,
        0.00914331,
        0.0106959,
        0.0111013,
        0.0111349,
        0.0106519,
        0.0095993,
        0.009987,
        0.00912194,
        0.00867631,
        0.00918133,
        0.0100716,
        0.00989351,
        0.00913222,
        0.00896022,
        0.0104231,
        0.010617,
        0.0100648,
        0.00976791,
        0.00999673,
        0.0100223,
        0.0100239,
        0.00957781,
        0.00895493,
        0.00858088,
        0.00874262,
        0.00866633,
        0.00870181,
        0.0090409,
        0.00973566,
        0.00967493,
        0.00949345,
        0.00939725,
        0.00952587,
        0.0108519,
        0.0104361,
        0.00961199,
        0.0092197,
        0.00955684,
        0.00865677,
        0.00874168,
        0.00940885,
        0.00952467,
        0.00967579,
        0.00916852,
        0.00888562,
        0.00923638,
        0.00943991,
        0.00923976,
        0.00925845,
        0.0094844,
        0.00970891,
        0.00920255,
        0.00882859,
        0.00885129,
        0.00919667,
        0.00874426,
        0.00960677,
        0.0101877,
        0.0103394,
        0.0104068,
        0.0103552,
        0.0102161,
        0.00982046,
        0.00924409,
        0.00949741,
        0.00876197,
        0.00859568,
        0.00912617,
        0.00992946,
        0.0115066,
        0.0112568,
        0.0107408,
        0.0110994,
        0.0121696,
        0.0129797,
        0.0129123,
        0.0123931,
        0.0124437,
        0.0123055,
        0.011913,
        0.0121815,
        0.0133165,
        0.0130592,
        0.0122525,
        0.0126651,
        0.0135253,
        0.0128195,
        0.0130109,
        0.012345,
        0.0117729,
        0.0119642,
        0.0128026,
        0.0133447,
        0.0126026,
        0.011331,
        0.0113461,
        0.0120402,
        0.0125602,
        0.0124664,
        0.0117062,
        0.0116229,
        0.011725,
        0.0122408,
        0.0127006,
        0.0122324,
        0.0114906,
        0.0113389,
        0.0111267,
        0.0106359,
        0.0110582,
        0.0111189,
        0.0113761,
        0.011442,
        0.0105114,
        0.0119205,
        0.0122098,
        0.0117882,
        0.0111345,
        0.0109249,
        0.0114667,
        0.0114683,
        0.010864,
        0.00999338,
        0.0101729,
        0.0101648,
        0.00997159,
        0.00972231,
        0.00994487,
        0.0109224,
        0.0113838,
        0.0112968,
        0.0110415,
        0.0107692,
        0.011065,
        0.0110395,
        0.0104616,
        0.0104971,
        0.0106787,
        0.0102656,
        0.00973655,
        0.00996042,
        0.0104626,
        0.010695,
        0.0110891,
        0.0116448,
        0.0114911,
        0.0122023,
        0.0115346,
        0.0104441,
        0.0105102,
        0.0110883,
        0.0108998,
        0.0106491,
        0.0105831,
        0.010299,
        0.0108679,
        0.010465,
        0.00997532,
        0.0106285,
        0.0109995,
        0.0107901,
        0.0110315,
        0.0118136,
        0.0120797,
        0.0118771,
        0.0120217,
        0.0117933,
        0.0105344,
        0.0106632,
        0.0102847,
        0.010293,
        0.0108669,
        0.0115521,
        0.0116021,
        0.0117216,
        0.0115723,
        0.0109076,
        0.0107329,
        0.0112473,
        0.0113061,
        0.0108462,
        0.0105875,
        0.0110639,
        0.0110633,
        0.0112162,
        0.0119259,
        0.0118696,
        0.0117758,
        0.0119752,
        0.0122619,
        0.0120357,
        0.0113882,
        0.0110311,
        0.0112686,
        0.0120939,
        0.0121825,
        0.0121033,
        0.0114704,
        0.0107725,
        0.0109304,
        0.0104612,
        0.0104445,
        0.0107648,
        0.0111301,
        0.0105439,
        0.0106439,
        0.0110201,
        0.0113959,
        0.0114858,
        0.0111039,
        0.0103766,
        0.010211,
        0.0109144,
        0.0118886,
        0.0114199,
        0.0114064,
        0.0117271,
        0.0118424,
        0.0111209,
        0.0114333,
        0.0112438,
        0.010503,
        0.0111022,
        0.0108478,
        0.0112063,
        0.0116347,
        0.0115311,
        0.0116913,
        0.012096,
        0.011811,
        0.0110153,
        0.0108955,
        0.0106426,
        0.0106987,
        0.0111179,
        0.0118485,
        0.0124918,
        0.0121332,
        0.0117525,
        0.0113407,
        0.0104247,
        0.0112336,
        0.0108826,
        0.0102142,
        0.0100357,
        0.0112124,
        0.0109805,
        0.010853,
        0.0111578,
        0.0118719,
        0.0110506,
        0.0106041,
        0.010448,
        0.0106341,
        0.0115852,
        0.0110987,
        0.0107905,
        0.0108796,
        0.0112535,
        0.0104668,
        0.0101524,
        0.0102213,
        0.0107004,
        0.0117993,
        0.0108043,
        0.0109598,
        0.0115364,
        0.0116353,
        0.0118369,
        0.0123772,
        0.0122228,
        0.011466,
        0.0109374,
        0.0120736,
        0.012912,
        0.0138365,
        0.0147376,
        0.0129265,
        0.013178,
        0.0138737,
        0.0147598,
        0.0159756,
        0.0172832,
        0.0171321,
        0.0164847,
        0.0160189,
        0.0161874,
        0.0155134,
        0.0145628,
        0.0141753,
        0.015051,
        0.0145011,
        0.0140996,
        0.0133894,
        0.0123814,
        0.0115792,
        0.0121135,
        0.0116063,
        0.0108414,
        0.0106604,
        0.0106428,
        0.0111489,
        0.011686,
        0.011822,
        0.0110014,
        0.0109792,
        0.0112926,
        0.0111104,
        0.0103142,
        0.0113308,
        0.0112738,
        0.0115184,
        0.0118257,
        0.0115346,
        0.0115087,
        0.0103611,
        0.00997255,
        0.0105435,
        0.00985112,
        0.00919778,
        0.00865626,
        0.00882166,
        0.0100475,
        0.010052,
        0.0101009,
        0.00973363,
        0.00945487,
        0.0107159,
        0.0103554,
        0.00979446,
        0.00962006,
        0.0100934,
        0.0104084,
        0.0107901,
        0.0107689,
        0.0104483,
        0.0101782,
        0.0101142,
        0.0102665,
        0.0101829,
        0.00990508,
        0.010411,
        0.010823,
        0.01063,
        0.01038,
        0.010667,
        0.0103325,
        0.00961157,
        0.00964309,
        0.0104601,
        0.0111082,
        0.0101801,
        0.00999019,
        0.0103022,
        0.0107393,
        0.0108082,
        0.0104358,
        0.0104,
        0.010802,
        0.0114892,
        0.0112699,
        0.0101278,
        0.00958631,
        0.0102409,
        0.011346,
        0.0109319,
        0.0109079,
        0.0110772,
        0.0110104,
        0.0115787,
        0.0112072,
        0.0102757,
        0.0094914,
        0.0101338,
        0.0110682,
        0.0112967,
        0.0107008,
        0.00963297,
        0.010002,
        0.0115186,
        0.0118403,
        0.0114734,
        0.0119118,
        0.0122278,
        0.0113093,
        0.0103338,
        0.00991481,
        0.0101605,
        0.0108303,
        0.0110655,
        0.0111202,
        0.0112645,
        0.0109198,
        0.0107303,
        0.0112516,
        0.0119636,
        0.0115367,
        0.011024,
        0.011079,
        0.0118479,
        0.0130277,
        0.0128164,
        0.0120498,
        0.0116808,
        0.0121209,
        0.013523,
        0.0136331,
        0.0132239,
        0.0126356,
        0.0122585,
        0.0127556,
        0.012716,
        0.0127688,
        0.0128273,
        0.0127163,
        0.0119806,
        0.0131124,
        0.0138937,
        0.0140372,
        0.0139284,
        0.0133967,
        0.0138157,
        0.015164,
        0.0165816,
        0.0151469,
        0.016032,
        0.0173387,
        0.0177976,
        0.0166985,
        0.0176744,
        0.0192057,
        0.0193764,
        0.0187228,
        0.019582,
        0.0217033,
        0.0210073,
        0.0214253,
        0.0243249,
        0.0238679,
        0.0282073,
        0.0301097,
        0.0311836,
        0.0346019,
        0.0356795,
        0.0379425,
        0.0429305,
        0.0612762,
        0.058135,
        0.0493687,
        0.0425354,
        0.0388482,
        0.0364587,
        0.0323645,
        0.0325968,
        0.0321326,
        0.0290833,
        0.0269791,
        0.0250332,
        0.0230917,
        0.0221228,
        0.0228095,
        0.0226062,
        0.0207124,
        0.0196203,
        0.0196448,
        0.0198661,
        0.0185647,
        0.0184974,
        0.0187238,
        0.0184658,
        0.0170646,
        0.0171363,
        0.0170908,
        0.0166517,
        0.0157402,
        0.0144083,
        0.0146222,
        0.0149636,
        0.015219,
        0.015798,
        0.0157167,
        0.0155358,
        0.0157079,
        0.0160748,
        0.0149062,
        0.0144164,
        0.0147329,
        0.015016,
        0.0144721,
        0.0137932,
        0.0133657,
        0.0141033,
        0.0150999,
        0.0142129,
        0.0133335,
        0.0127138,
        0.0120724,
        0.0114796,
        0.0118564,
        0.0124044,
        0.0131285,
        0.0133408,
        0.0124807,
        0.0121298,
        0.012939,
        0.0135719,
        0.0136332,
        0.0131438,
        0.0141996,
        0.0137943,
        0.0133626,
        0.0135943,
        0.0139598,
        0.0139868,
        0.0132127,
        0.0124988,
        0.0126799,
        0.0129946,
        null,
        0.0106852,
        0.0109757,
        0.0112661,
        0.0115565,
        0.0118944,
        0.012234,
        0.0123592,
        0.011679,
        0.0114143,
        0.0119018,
        0.0126823,
        0.0119959,
        0.0112004,
        0.0119612,
        0.0123127,
        0.0116428,
        0.0111799,
        0.0114527,
        0.0119313,
        0.0124548,
        0.0127373,
        0.0124091,
        0.0121426,
        0.0126061,
        0.0128282,
        0.0125041,
        0.0118284,
        0.011831,
        0.0127519,
        0.0132954,
        0.0131596,
        0.0127108,
        0.012344,
        0.0117341,
        0.0115166,
        0.0116498,
        0.0117613,
        0.0115376,
        0.0115596,
        0.0113167,
        0.0109761,
        0.0109402,
        0.0116001,
        0.0125692,
        0.012617,
        0.0119583,
        0.0114001,
        0.0127641,
        0.0130483,
        0.0122666,
        0.0113663,
        0.0110454,
        0.00991547,
        0.0106773,
        0.0112403,
        0.0115559,
        0.011907,
        0.0125515,
        0.0128776,
        0.0125418,
        0.0122926,
        0.0126399,
        0.0132463,
        0.012203,
        0.0123767,
        0.0129099,
        0.0129705,
        0.0126039,
        0.0122628,
        0.0126885,
        0.0132071,
        0.0132006,
        0.0122651,
        0.0121857,
        0.011462,
        0.0112942,
        0.0120384,
        0.0130113,
        0.0128923,
        0.0123472,
        0.0121698,
        0.0123505,
        0.0120002,
        0.0123101,
        0.0125313,
        0.012608,
        0.0124407,
        0.011948,
        0.0124403,
        0.0130391,
        0.0130997,
        0.0128222,
        0.0128281,
        0.0122566,
        0.0118159,
        0.0114671,
        0.0111407,
        0.0108787,
        0.0124621,
        0.0131989,
        0.0127027,
        0.0115684,
        0.010821,
        0.0112903,
        0.0118513,
        0.0121971,
        0.0123513,
        0.0124329,
        0.0124815,
        0.0122604,
        0.0125833,
        0.012842,
        0.0124069,
        0.0126875,
        0.0115487,
        0.0110699,
        0.0109771,
        0.0108809,
        0.0118309,
        0.0122421,
        0.0121505,
        0.0120491,
        0.0122077,
        0.0121301,
        0.0118177,
        0.0119191,
        0.0118473,
        0.0113513,
        0.011442,
        0.0113184,
        0.0112188,
        0.0112646,
        0.011272,
        0.0105032,
        0.0110481,
        0.0113601,
        0.0115797,
        0.0116611,
        0.0111937,
        0.0107388,
        0.0110022,
        0.0112095,
        0.0109771,
        0.0105187,
        0.0110675,
        0.0115277,
        0.0117963,
        0.0118712,
        0.0118329,
        0.0113982,
        0.0110297,
        0.0105816,
        0.010179,
        0.010114,
        0.0101937,
        0.0105041,
        0.0111281,
        0.0117896,
        0.0119913,
        0.0117969,
        0.0109944,
        0.0105155,
        0.0104717,
        0.0105844,
        0.0109735,
        0.0105783,
        0.0103777,
        0.0101923,
        0.00962727,
        0.00983269,
        0.0100282,
        0.0104099,
        0.0107442,
        0.0108114,
        0.0114936,
        0.0118527,
        0.0114894,
        0.0108728,
        0.0105421,
        0.0102826,
        0.00979191,
        0.0097954,
        0.0103204,
        0.0111911,
        0.011922,
        0.011327,
        0.0104592,
        0.00993797,
        0.00997215,
        0.00976354,
        0.0107022,
        0.0113459,
        0.0111598,
        0.0103543,
        0.0105262,
        0.0106527,
        0.0108195,
        0.0108748,
        0.0107087,
        0.0103298,
        0.0115326,
        0.0113174,
        0.0104602,
        0.0101652,
        0.0119259,
        0.0119026,
        0.0115503,
        0.0116204,
        0.0119734,
        0.0114807,
        0.0110467,
        0.0108936,
        0.0111006,
        0.0115176,
        0.0117514,
        0.0111286,
        0.01109,
        0.0111061,
        0.0109957,
        0.0108808,
        0.0110421,
        0.0111037,
        0.0110361,
        0.0110937,
        0.0116472,
        0.0113276,
        0.0114198,
        0.0121684,
        0.0120216,
        0.0119231,
        0.0124408,
        0.0123859,
        0.0122988,
        0.0119177,
        0.0117945,
        0.0123966,
        0.0124703,
        0.0120397,
        0.0119338,
        0.0119109,
        0.0117771,
        0.0124971,
        0.0132757,
        0.0133171,
        0.0131961,
        0.0132335,
        0.0117395,
        0.0120607,
        0.0130435,
        0.0135252,
        0.0129814,
        0.0124972,
        0.0134779,
        0.013265,
        0.0126619,
        0.0125044,
        0.0128631,
        0.0120168,
        0.0120195,
        0.0123816,
        0.0128094,
        0.0137895,
        0.0136771,
        0.0129443,
        0.0122733,
        0.0124729,
        0.0146606,
        0.0149356,
        0.0146789,
        0.0152576,
        0.0166596,
        0.0171095,
        0.0166177,
        0.017286,
        0.0179317,
        0.0181372,
        0.0182623,
        0.0181915,
        0.0179927,
        0.0180536,
        0.0183414,
        0.0184465,
        0.0185831,
        0.0176837,
        0.01682,
        0.0163665,
        0.0161564,
        0.0149836,
        0.0149304,
        0.0148387,
        0.0145957,
        0.0146433,
        0.0152864,
        0.0153821,
        0.0150196,
        0.0145491,
        0.0144592,
        0.0152372,
        0.0158916,
        0.0154683,
        0.0148224,
        0.0151233,
        0.0153299,
        0.0147087,
        0.014634,
        0.0148541,
        0.0148032,
        0.0154435,
        0.0167953,
        0.0172632,
        0.0166415,
        0.0153309,
        0.0146902,
        0.0149992,
        0.0150564,
        0.0151105,
        0.0155879,
        0.0163711,
        0.0167837,
        0.0167041,
        0.0163794,
        0.0160912,
        0.0160217,
        0.0165647,
        0.0165786,
        0.0167428,
        0.017407,
        0.0176154,
        0.0178098,
        0.0177357,
        0.0180731,
        0.0186435,
        0.0172974,
        0.0175679,
        0.0170633,
        0.0171195,
        0.0181233,
        0.0186928,
        0.0181692,
        0.0170163,
        0.0164291,
        0.0167687,
        0.0171497,
        0.0167458,
        0.0167386,
        0.0172438,
        0.0182947,
        0.0198588,
        0.0181232,
        0.0163326,
        0.0155555,
        0.0161722,
        0.0178223,
        0.0182255,
        0.0182031,
        0.0177925,
        0.0172046,
        0.0168107,
        0.0175844,
        0.0184057,
        0.0188643,
        0.0185625,
        0.0172449,
        0.0171887,
        0.0176497,
        0.0174771,
        0.0172903,
        0.018276,
        0.0169018,
        0.0166702,
        0.0171533,
        0.0182438,
        0.01974,
        0.0194038,
        0.0186995,
        0.0187171,
        0.0191509,
        0.0192987,
        0.0195694,
        0.0195071,
        0.0191887,
        0.0187725,
        0.0185154,
        0.0192079,
        0.0184968,
        0.0186078,
        0.0193406,
        0.0199789,
        0.0204916,
        0.0198286,
        0.0191112,
        0.0193693,
        0.0207573,
        0.0198039,
        0.0216433,
        0.0226677,
        0.0225176,
        0.0217865,
        0.0221607,
        0.0234469,
        0.0240241,
        0.0234049,
        0.0220485,
        0.0223704,
        0.0222611,
        0.0233265,
        0.0239411,
        0.0235569,
        0.0248323,
        0.0238542,
        0.0231737,
        0.0233639,
        0.0238943,
        0.0225223,
        0.0204566,
        0.0200627,
        0.0204296,
        0.0207183,
        0.0205621,
        0.0205613,
        0.0202684,
        0.020386,
        0.0210677,
        0.0217971,
        0.021478,
        0.0230604,
        0.0242681,
        0.0237893,
        0.0215765,
        0.0208219,
        0.020735,
        0.0210594,
        0.0214739,
        0.0216306,
        0.0218558,
        0.0222017,
        0.0227834,
        0.0227922,
        0.0208383,
        0.0194067,
        0.0196888,
        0.0214138,
        0.0231833,
        0.0231363,
        0.0223242,
        0.0221801,
        0.0223127,
        0.0233032,
        0.0259029,
        0.0263598,
        0.0243523,
        0.0227272,
        0.0228138,
        0.0246379,
        0.0224723,
        0.0222876,
        0.0241135,
        0.0261107,
        0.0263138,
        0.0278564,
        0.0250669,
        0.0235693,
        0.0236409,
        0.023803,
        0.0216279,
        0.0229112,
        0.0254305,
        0.0266482,
        0.0249359,
        0.0238315,
        0.023889,
        0.0233492,
        0.0235281,
        0.0253147,
        0.0260239,
        0.0255435,
        0.0249675,
        0.0253394,
        0.0270693,
        0.0286131,
        0.0277349,
        0.02774,
        0.0282146,
        0.028131,
        0.0258856,
        0.0322767,
        0.0340839,
        0.0358382,
        0.0395042,
        0.0359112,
        0.0331719,
        0.032968,
        0.034285,
        0.0353089,
        0.0329558,
        0.033672,
        0.0381416,
        0.0397842,
        0.0362446,
        0.0327928,
        0.0336754,
        0.0340941,
        0.0349024,
        0.0361133,
        0.0364396,
        0.0381457,
        0.0362369,
        0.035868,
        0.0396795,
        0.046967,
        0.0469874,
        0.0463288,
        0.0451975,
        0.0442635,
        0.0446112,
        0.045407,
        0.0453512,
        0.0487893,
        0.0536735,
        0.0529542,
        0.0514115,
        0.0548823,
        0.0575534,
        null,
        0.0633318,
        0.0638065,
        0.0585723,
        0.0530933,
        0.0496355,
        0.0489464,
        0.049016,
        0.0520411,
        0.0537897,
        0.0523005,
        0.0477525,
        0.0470898,
        0.0454035,
        0.0436189,
        0.0442892,
        0.0480647,
        0.0449963,
        0.0423702,
        0.0415382,
        0.0398245,
        0.0357922,
        0.034644,
        0.0389685,
        0.0424036,
        0.0439078,
        0.0428877,
        0.0368523,
        0.0338207,
        0.0333466,
        0.0331479,
        0.0318753,
        0.0319759,
        0.0363559,
        0.035785,
        0.033311,
        0.031748,
        0.0300794,
        0.0349869,
        0.0364154,
        0.0338517,
        0.0302093,
        0.0334006,
        0.0340341,
        0.0330011,
        0.0324881,
        0.0336586,
        0.0353206,
        0.0332818,
        0.0332657,
        0.0337031,
        0.0335856,
        0.0334981,
        0.0333073,
        0.0308772,
        0.0285951,
        0.0273579,
        0.0255185,
        0.0274944,
        0.027961,
        0.0269906,
        0.0255581,
        0.0254747,
        0.0286733,
        0.0284164,
        0.0269472,
        0.0255475,
        0.0239829,
        0.0229962,
        0.0230301,
        0.0243262,
        0.0260096,
        0.0257981,
        0.025944,
        0.0258732,
        0.0248724,
        0.0232947,
        0.0224798,
        0.022532,
        0.0224716,
        0.0223114,
        0.0222665,
        0.0227097,
        0.0229103,
        0.0214849,
        0.0210845,
        0.0220471,
        0.0226674,
        0.0218565,
        0.0221424,
        0.0228091,
        0.0230568,
        0.0220994,
        0.0224296,
        0.0210659,
        0.020001,
        0.0200222,
        0.0209815,
        0.0199453,
        0.0204862,
        0.0206292,
        0.020119,
        0.0196754,
        0.0185191,
        0.0199131,
        0.0207713,
        0.0207641,
        0.0208231,
        0.0206552,
        0.0199475,
        0.0196913,
        0.019615,
        0.0190634,
        0.0195174,
        0.0187774,
        0.0183531,
        0.0186343,
        0.0194631,
        0.0201961,
        0.0189616,
        0.0174313,
        0.0168708,
        0.0180768,
        0.0191742,
        0.0180862,
        0.0180865,
        0.0185696,
        0.018114,
        0.0187926,
        0.018697,
        0.0177658,
        0.0175449,
        0.0191487,
        0.0177675,
        0.0168655,
        0.0169892,
        0.016975,
        0.0157255,
        0.0147166,
        0.0162664,
        0.0172757,
        0.0169447,
        0.0155626,
        0.0157526,
        0.0151851,
        0.0164221,
        0.0176997,
        0.0171344,
        0.0164634,
        0.0164036,
        0.0163674,
        0.0161923,
        0.0158952,
        0.0159243,
        0.0165839,
        0.0160715,
        0.015383,
        0.0154807,
        0.0158078,
        0.0159,
        0.0151819,
        0.0141565,
        0.0135786,
        0.0144385,
        0.0139869,
        0.0145681,
        0.0151675,
        0.014823,
        0.0138231,
        0.0133726,
        0.0126499,
        0.0135361,
        0.0144401,
        0.0160393,
        0.0154723,
        0.0158232,
        0.0182886,
        0.019468,
        0.0217876,
        0.0240957,
        0.0233296,
        0.0197815,
        0.0201588,
        0.0187388,
        0.0193018,
        0.0201598,
        0.0206337,
        0.0223733,
        0.0201901,
        0.0194221,
        0.0189797,
        0.0182739,
        0.0178433,
        0.0176887,
        0.0157246,
        0.0142047,
        0.0139953,
        0.0139896,
        0.0152039,
        0.016205,
        0.0165231,
        0.0158587,
        0.0140906,
        0.0143878,
        0.014299,
        0.0146511,
        0.0154037,
        0.0154715,
        0.0146367,
        0.0149074,
        0.015175,
        0.0153483,
        0.0163592,
        0.0148142,
        0.0139386,
        0.0147398,
        0.0160751,
        0.0149755,
        0.0150864,
        0.0148633,
        0.0147032,
        0.0149152,
        0.0156758,
        0.0152039,
        0.0143778,
        0.0138024,
        0.0141415,
        0.0159177,
        0.0153709,
        0.0156819,
        0.015724,
        0.0153363,
        0.0150611,
        0.0151073,
        0.0144574,
        0.0142458,
        0.0146742,
        0.0152811,
        0.0137497,
        0.01392,
        0.0146597,
        0.0151142,
        0.0147848,
        0.0159825,
        0.0177328,
        0.0175471,
        0.0165627,
        0.0174865,
        0.0205834,
        0.0208797,
        0.0208516,
        0.0213993,
        0.0224559,
        0.020883,
        0.0228739,
        0.0225847,
        0.020813,
        0.0206999,
        0.0231712,
        0.0239221,
        0.0228005,
        0.0209838,
        0.0197625,
        0.01753,
        0.0152509,
        0.0138069,
        0.0137113,
        0.0149402,
        0.0152891,
        0.0137159,
        0.0129286,
        0.0134629,
        0.0147441,
        0.0139599,
        0.0142585,
        0.0152602,
        0.0157384,
        0.014691,
        0.0136954,
        0.0137317,
        0.013827,
        0.0134959,
        0.0127135,
        0.0133667,
        0.0138993,
        0.0139804,
        0.0139977,
        0.0143443,
        0.0145561,
        0.0137725,
        0.0136945,
        0.0139668,
        0.0140401,
        0.0141802,
        0.0147473,
        0.0149693,
        0.0149765,
        0.0149376,
        0.0145173,
        0.0146332,
        0.0142553,
        0.015321,
        0.0180469,
        0.0155452,
        0.0151538,
        0.0133479,
        0.0125238,
        0.0142331,
        0.0145916,
        0.0144492,
        0.0151505,
        0.0154677,
        0.0146225,
        0.0141421,
        0.0143216,
        0.0142972,
        0.0136649,
        0.0126499,
        0.0131597,
        0.013493,
        0.0134316,
        0.0140686,
        0.0153563,
        0.0139351,
        0.0146752,
        0.0152519,
        0.0149663,
        0.0141734,
        0.0151515,
        0.0151569,
        0.014615,
        0.0142565,
        0.0143315,
        0.0140911,
        0.0137887,
        0.0140439,
        0.0144462,
        0.0146021,
        0.0143131,
        0.0146576,
        0.0148096,
        0.0150711,
        0.0154629,
        0.015346,
        0.0140293,
        0.0132935,
        0.0135205,
        0.0145545,
        0.0154225,
        0.0142913,
        0.0153199,
        0.0155506,
        0.0141251,
        0.0142506,
        0.0149344,
        0.0144988,
        0.014611,
        0.0155773,
        0.0155688,
        0.0154924,
        0.0146879,
        0.0137884,
        0.0134466,
        0.0143976,
        0.0144606,
        0.0140772,
        0.0132902,
        0.0126155,
        0.0131911,
        0.0141363,
        0.0145497,
        0.0149952,
        0.0155314,
        0.0156167,
        0.0141505,
        0.0127744,
        0.0122652,
        0.0125447,
        0.0126323,
        0.0140834,
        0.01452,
        0.0145408,
        0.0145755,
        0.0148066,
        0.0143038,
        0.0139485,
        0.0136535,
        0.0135871,
        0.0141446,
        0.014142,
        0.0135424,
        0.013909,
        0.0148578,
        0.0142038,
        null,
        0.0144092,
        0.0150644,
        0.0157196,
        0.0163748,
        0.0176893,
        0.0167521,
        0.0156565,
        0.0171701,
        0.0171111,
        0.0163291,
        0.017326,
        0.018042,
        0.0180882,
        0.0179823,
        0.0164124,
        0.0183354,
        0.0195462,
        0.0200924,
        0.020281,
        0.0203524,
        0.0206638,
        0.0205378,
        0.0215498,
        0.0237054,
        0.0260761,
        0.0271522,
        0.0254175,
        0.0240507,
        0.0229838,
        0.0217807,
        0.0207856,
        0.0209498,
        0.0193376,
        0.0191986,
        0.0179651,
        0.0168014,
        0.0169473,
        0.0183417,
        0.0184948,
        0.0174082,
        0.0177927,
        0.0183427,
        0.0175442,
        0.0157119,
        0.0147189,
        0.0155438,
        0.016203,
        0.015943,
        0.0151687,
        0.0156545,
        0.0166424,
        0.0165279,
        0.0164317,
        0.0159032,
        0.0147337,
        0.0150125,
        0.0142893,
        0.0146647,
        0.0154625,
        0.0155378,
        0.0143614,
        0.0138073,
        0.0157082,
        0.0158689,
        0.015166,
        0.0145191,
        0.0142577,
        0.0131343,
        0.0145191,
        0.0151143,
        0.0153751,
        0.0155518,
        0.0154533,
        0.0146865,
        0.0150304,
        0.0153199,
        0.0140774,
        0.0124663,
        0.0131703,
        0.0140124,
        0.0141107,
        0.0138385,
        0.0143945,
        0.015474,
        0.0153671,
        0.0146239,
        0.0134776,
        0.0135201,
        0.0136961,
        0.013347,
        0.0129508,
        0.0132827,
        0.0135617,
        0.0133137,
        0.0136764,
        0.0148708,
        0.0155003,
        0.015618,
        0.0153437,
        0.0154642,
        0.0158005,
        0.0160377,
        0.0160791,
        0.0148308,
        0.0147253,
        0.0138497,
        0.0135715,
        0.0150153,
        0.0168196,
        0.0163256,
        0.0166352,
        0.017136,
        0.0175732,
        0.0178856,
        0.0180896,
        0.0165949,
        0.0155433,
        0.0160732,
        0.0172385,
        0.0177404,
        0.0179459,
        0.0162648,
        0.0161782,
        0.0162573,
        0.0164289,
        0.0170722,
        0.017468,
        0.0178607,
        0.0171084,
        0.0170523,
        0.0184375,
        0.0203597,
        0.0196233,
        0.0198644,
        0.0192044,
        0.0190555,
        0.0188085,
        0.0172159,
        0.0161516,
        0.0162523,
        0.0155096,
        0.0153333,
        0.0155266,
        0.0148698,
        0.0141208,
        0.0143834,
        0.0139371,
        0.0136951,
        0.0143358,
        0.0156193,
        0.0148863,
        0.0127779,
        0.0123751,
        0.0129594,
        0.0138978,
        0.0148339,
        0.0133284,
        0.0130662,
        0.0145008,
        0.0146202,
        0.0132542,
        0.0130673,
        0.0132454,
        0.0141805,
        0.0137444,
        0.013121,
        0.0131086,
        0.0132921,
        0.0135471,
        0.0143752,
        0.013448,
        0.0123124,
        0.0119015,
        0.01148,
        0.0122651,
        0.0142451,
        0.0145485,
        0.0144722,
        0.0147211,
        0.0139116,
        0.0143847,
        0.0139252,
        0.0131347,
        0.0130283,
        0.0136277,
        0.0134551,
        0.0129483,
        0.0132938,
        0.0141106,
        0.0142858,
        0.013566,
        0.0133591,
        0.0126725,
        0.0124715,
        0.0127846,
        0.0127472,
        0.0121162,
        0.0122445,
        0.0134952,
        0.0137247,
        0.0132627,
        0.0129669,
        0.0133611,
        0.0140344,
        0.0136622,
        0.0146452,
        0.0151224,
        0.0143751,
        0.0130383,
        0.0134766,
        0.0132459,
        0.0128374,
        0.0138418,
        0.0148701,
        0.014618,
        0.014926,
        0.0131618,
        0.0128918,
        0.0133457,
        0.0143073,
        0.0150729,
        0.016386,
        0.0171374,
        0.0168538,
        0.0170182,
        0.0160932,
        0.0144787,
        0.014318,
        0.0154175,
        0.016194,
        0.0155914,
        0.0148592,
        0.0155667,
        0.0164268,
        0.0165522,
        0.0158025,
        0.0151072,
        0.0173592,
        0.0178784,
        0.017621,
        0.0176361,
        0.0183122,
        0.0186756,
        0.0199002,
        0.0203851,
        0.0209139,
        0.0211933,
        0.0210292,
        0.0235192,
        0.0260907,
        0.0268744,
        0.0298925,
        0.0329641,
        0.033538,
        0.043278,
        0.0557077,
        0.0617108,
        0.0573049,
        0.051508,
        0.0400244,
        0.0309568,
        0.0330561,
        0.0350754,
        0.0331628,
        0.0292495,
        0.0277655,
        0.0266479,
        0.025948,
        0.024811,
        0.0221715,
        0.0190035,
        0.0173717,
        0.0171363,
        0.0193963,
        0.0199164,
        0.0181327,
        0.0164916,
        0.0178127,
        0.018155,
        0.0176257,
        0.0165253,
        0.015786,
        0.0158943,
        0.016447,
        0.0153405,
        0.0155286,
        0.0151815,
        0.015029,
        0.0158297,
        0.0173131,
        0.0159336,
        0.0164384,
        0.0163094,
        0.0156114,
        0.0152026,
        0.0158471,
        0.0159983,
        0.015265,
        0.0161317,
        0.0163303,
        0.0157111,
        0.0160367,
        0.0176628,
        0.019062,
        0.0200257,
        0.019793,
        0.01912,
        0.0193664,
        0.0186263,
        0.0206656,
        0.022402,
        0.0229608,
        0.0226858,
        0.0223827,
        0.0210969,
        0.0216419,
        0.0200855,
        0.0197077,
        0.0212303,
        0.0231953,
        0.0249361,
        0.0295931,
        0.0302833,
        0.0300528,
        0.0318409,
        0.0371793,
        0.0466332,
        0.0548252,
        0.0615564,
        0.0607379,
        0.0545287,
        0.0490371,
        0.0409105,
        0.0339669,
        0.0307738,
        0.0291278,
        0.0271391,
        0.0246807,
        0.0253419,
        0.0225565,
        0.0212892,
        0.0212375,
        0.021682,
        0.0219064,
        0.0213716,
        0.0191404,
        0.0188702,
        0.0197362,
        0.0201358,
        0.0187259,
        0.0164541,
        0.0184364,
        0.0201568,
        0.0195583,
        0.0182976,
        0.0188589,
        0.0194312,
        0.0191727,
        0.0198259,
        0.0197632,
        0.0190154,
        0.0184466,
        0.0176379,
        0.01851,
        0.0197955,
        0.0206387,
        0.0206181,
        0.0200857,
        0.0207218,
        0.0206007,
        0.0186337,
        0.0185832,
        0.0194127,
        0.019058,
        0.0204012,
        0.0221445,
        0.0230521,
        0.0255896,
        0.027862,
        0.0277281,
        0.0285673,
        0.0280748,
        0.0267261,
        0.0246506,
        0.0238549,
        0.0258261,
        0.0282864,
        0.0277023,
        0.0262889,
        0.0247805,
        0.0243642,
        0.025488,
        0.0267851,
        0.0273605,
        0.0281912,
        0.0275671,
        0.0273005,
        0.0287528,
        0.0290214,
        0.0316062,
        0.0339352,
        0.0337589,
        0.0305035,
        0.0273605,
        0.0331545,
        0.0358247,
        0.0360568,
        0.0421957,
        0.0479636,
        0.0482815,
        0.0501427,
        0.0579363,
        0.0689599,
        0.0744499,
        0.0719931,
        0.0645775,
        0.0563789,
        0.0505592,
        0.0470075,
        0.0507632,
        0.0480652,
        0.0446194,
        0.0412396,
        0.0376548,
        0.0338728,
        0.033194,
        0.033776,
        0.0327341,
        0.0327864,
        0.0342286,
        0.0350651,
        0.0334559,
        0.0304999,
        0.029994,
        0.0317442,
        0.0328211,
        0.0303924,
        0.0283131,
        0.0335541,
        0.0313229,
        0.0287048,
        0.0282707,
        0.0286405,
        0.0294799,
        0.0306799,
        0.0304556,
        0.0292369,
        0.0288295,
        0.030376,
        0.0317801,
        0.0329314,
        0.0326351,
        0.0321256,
        0.0322077,
        0.0326662,
        0.0316737,
        0.0379595,
        0.0426874,
        0.0405361,
        0.0361531,
        0.0367144,
        0.0443062,
        0.0449908,
        0.0445173,
        0.0429833,
        0.0420394,
        0.0424062,
        0.0423811,
        0.0437434,
        0.0433974,
        0.0413183,
        0.0391737,
        0.0384011,
        0.0386904,
        0.0359704,
        0.0357489,
        0.0380933,
        0.0406273,
        0.0417437,
        0.0420237,
        0.0398253,
        0.0399817,
        0.0419602,
        0.0443573,
        0.0464478,
        0.0490932,
        0.057059,
        0.0552699,
        0.0518633,
        0.0506225,
        0.051807,
        0.0530241,
        0.0535784,
        0.0613631,
        0.0650199,
        0.0585761,
        0.0520911,
        0.061983,
        0.0746519,
        0.0717137,
        0.0651066,
        null,
        0.0736642,
        0.0654304,
        0.0618915,
        0.0605797,
        0.0562884,
        0.0509631,
        0.0489962,
        0.0499442,
        0.0491436,
        0.0462416,
        0.0409417,
        0.0394704,
        0.0441308,
        0.0445215,
        0.0475064,
        0.0446605,
        0.0395001,
        0.0362768,
        0.0364604,
        0.0367319,
        0.0367483,
        0.0385779,
        0.0390901,
        0.0387162,
        0.0369496,
        0.0319088,
        0.0353856,
        0.0348459,
        0.0323708,
        0.0304697,
        0.0309639,
        0.0333316,
        0.0289051,
        0.0285365,
        0.0281975,
        0.0279662,
        0.0280174,
        0.0279564,
        0.0263511,
        0.0257674,
        0.0270146,
        0.0273493,
        0.0266734,
        0.0266213,
        0.0273185,
        0.0247875,
        0.0251614,
        0.0260248,
        0.0260915,
        0.0247784,
        0.0215756,
        0.0231837,
        0.0236588,
        0.0226029,
        0.0209457,
        0.0202421,
        0.0219521,
        0.0245846,
        0.0222781,
        0.0202153,
        0.0203901,
        0.0217507,
        0.0214797,
        0.0216468,
        0.0203651,
        0.0212618,
        0.0221874,
        0.0211754,
        0.0184672,
        0.0184733,
        0.0181309,
        0.0183739,
        0.0195264,
        0.0210441,
        0.0218853,
        0.0212719,
        0.0194227,
        0.0194845,
        0.01954,
        0.0190852,
        0.018578,
        0.017805,
        0.0183657,
        0.0198284,
        0.0216834,
        0.0219431,
        0.0203133,
        0.0206825,
        0.0219296,
        0.0211648,
        0.020863,
        0.0210198,
        0.0213628,
        0.0225333,
        0.0223953,
        0.0212206,
        0.0204033,
        0.0198956,
        0.0193833,
        0.0188071,
        0.018689,
        0.018492,
        0.0177477,
        0.0174478,
        0.0180217,
        0.0190374,
        0.0199116,
        0.0193432,
        0.0180546,
        0.0177091,
        0.0178077,
        0.0170319,
        0.0164854,
        0.0166607,
        0.0173054,
        0.0180147,
        0.0185307,
        0.0189221,
        0.0196765,
        0.0192248,
        0.0184584,
        0.0189552,
        0.0193179,
        0.0181549,
        0.0163188,
        0.0167347,
        0.0156022,
        0.0161779,
        0.0166402,
        0.0159736,
        0.0157282,
        0.0165865,
        0.0163401,
        0.0160875,
        0.0158997,
        0.0161598,
        0.0173087,
        0.0177632,
        0.0168555,
        0.015187,
        0.0151796,
        0.0161986,
        0.0160544,
        0.015774,
        0.0157305,
        0.0157049,
        0.0158196,
        0.0156552,
        0.0149361,
        0.0143532,
        0.0137219,
        0.0155272,
        0.016376,
        0.0157215,
        0.0147083,
        0.0148532,
        0.015118,
        0.0148601,
        0.0150318,
        0.0153293,
        0.0151509,
        0.014327,
        0.0146987,
        0.0151655,
        0.01504,
        0.0142795,
        0.013638,
        0.014215,
        0.0157054,
        0.0149742,
        0.0157139,
        0.0159182,
        0.0149855,
        0.0139235,
        0.0146882,
        0.014227,
        0.0141642,
        0.0142275,
        0.0145969,
        0.0152045,
        0.0150702,
        0.0150596,
        0.0146173,
        0.0144923,
        0.0144517,
        0.0144729,
        0.0150795,
        0.0144095,
        0.0142483,
        0.0140246,
        0.0135668,
        0.0132969,
        0.0138085,
        0.0139414,
        0.0136563,
        0.0135641,
        0.0139108,
        0.0147393,
        0.0154825,
        0.0138972,
        0.0142366,
        0.0141624,
        0.0140969,
        0.0141454,
        0.0141799,
        0.0142317,
        0.0144187,
        0.013188,
        0.0128309,
        0.0138185,
        0.0149441,
        0.0141492,
        0.013381,
        0.013754,
        0.0143044,
        0.013751,
        0.0126955,
        0.0133801,
        0.0147283,
        0.0152708,
        0.0143533,
        0.0137525,
        0.0138106,
        0.0135594,
        0.0137398,
        0.0134474,
        0.0127159,
        0.0125273,
        0.0130378,
        0.0137697,
        0.0143019,
        0.0144091,
        0.0141408,
        0.0137358,
        0.0130901,
        0.0127075,
        0.0140116,
        0.0133692,
        0.0129631,
        0.013558,
        0.0140615,
        0.0139732,
        0.0139669,
        0.0124582,
        0.0123369,
        0.0133287,
        0.0141826,
        0.014554,
        0.0148248,
        0.0140574,
        0.0133712,
        0.0131633,
        0.0129599,
        0.0126107,
        0.0124302,
        0.0132811,
        0.0129735,
        0.0131963,
        0.0136562,
        0.0141623,
        0.0142778,
        0.0131879,
        0.0126956,
        0.01319,
        0.0129953,
        0.0126077,
        0.0127661,
        0.0135604,
        0.0132409,
        0.0122186,
        0.01169,
        0.0118401,
        0.0128552,
        0.0142331,
        0.0127032,
        0.012255,
        0.0129346,
        0.0133128,
        0.0132675,
        0.0138175,
        0.0163077,
        0.0146321,
        0.0142521,
        0.0144566,
        0.0144635,
        0.0145463,
        0.0162177,
        0.0163267,
        0.0163933,
        0.0150633,
        0.0135257,
        0.0128317,
        0.013138,
        0.0141265,
        0.0146148,
        0.0156002,
        0.0158778,
        0.0153932,
        0.0148395,
        0.0135273,
        0.0139225,
        0.014845,
        0.0149062,
        0.0140826,
        0.0132837,
        0.0136442,
        0.0135524,
        0.0119794,
        0.012343,
        0.0137057,
        0.014646,
        0.0153346,
        0.0162338,
        0.0149486,
        0.0143441,
        0.0144273,
        0.0146541,
        0.0145365,
        0.013991,
        0.0151099,
        0.0143793,
        0.0137247,
        0.0129006,
        0.0120736,
        0.0125612,
        0.0140121,
        0.0148123,
        0.0149441,
        0.0149284,
        0.0149643,
        0.0147212,
        0.0142533,
        0.0137597,
        0.0124679,
        0.012602,
        0.0137935,
        0.0139908,
        0.0130224,
        0.0141781,
        0.0138536,
        0.0135789,
        0.0142359,
        0.0154145,
        0.0153311,
        0.0141872,
        0.013609,
        0.0142762,
        0.0149898,
        0.0146538,
        0.0133586,
        0.013448,
        0.013434,
        0.0133026,
        0.0134552,
        0.0137864,
        0.013761,
        0.0133067,
        0.0138069,
        0.0139994,
        0.0136959,
        0.0132342,
        0.0132341,
        0.0143414,
        0.0140105,
        0.0143053,
        0.0148295,
        0.0150493,
        0.0149015,
        0.0149008,
        0.0135219,
        0.0132493,
        0.0137308,
        0.0139272,
        0.0138331,
        0.014066,
        0.0123949,
        0.0125108,
        0.0130647,
        0.0136084,
        0.014289,
        0.0150638,
        0.014514,
        0.014178,
        0.0142514,
        0.0143151,
        0.0138789,
        0.0132834,
        0.0140221,
        0.0142617,
        0.0130594,
        0.0123422,
        0.0141681,
        0.0145678,
        0.0150022,
        0.0147489,
        0.0146769,
        0.01517,
        0.0146232,
        0.014877,
        0.0163593,
        0.0173319,
        0.0171205,
        0.0165028,
        0.0170137,
        0.0172565,
        0.0170775,
        0.0161972,
        0.0164624,
        0.0170261,
        0.0162452,
        0.0164257,
        0.015635,
        0.015981,
        0.0174295,
        0.0188697,
        0.0191225,
        0.0180205,
        0.0186988,
        0.0203182,
        0.0216262,
        0.0223582,
        0.0238444,
        0.0279934,
        0.0318126,
        0.0310886,
        0.0334216,
        0.0375123,
        0.0442299,
        0.0542188,
        0.0602889,
        0.0594012,
        0.0627141,
        0.0647016,
        0.0532211,
        0.0478481,
        0.0399187,
        0.0319826,
        0.0322999,
        0.0350659,
        0.0301297,
        0.0270494,
        0.0267111,
        0.0269422,
        0.0253926,
        0.0229876,
        0.0207093,
        0.0206321,
        0.0200919,
        0.0192266,
        0.0188475,
        0.0186645,
        0.0175895,
        0.0162371,
        0.0173818,
        0.0189294,
        0.0193052,
        0.0189438,
        0.0193579,
        0.0199898,
        0.0187124,
        0.0175756,
        0.0170284,
        0.0166713,
        0.0173332,
        0.0188706,
        0.0182201,
        0.0170909,
        0.0161838,
        0.0160582,
        0.0173647,
        0.0177556,
        0.0177716,
        0.0169613,
        0.0166277,
        0.0172218,
        0.0177902,
        0.0165527,
        0.0172787,
        0.0160919,
        0.0159196,
        0.0168559,
        0.0173511,
        0.0167612,
        0.017033,
        0.0173299,
        0.017964,
        0.0194067,
        0.0204008,
        0.0184201,
        0.0176926,
        0.0168635,
        0.0167984,
        0.0175666,
        0.0181085,
        0.0172161,
        0.0155224,
        0.0158177,
        0.0159169,
        0.0160931,
        0.0160328,
        0.0159428,
        0.0173739,
        0.0185478,
        0.0175771,
        0.0173031,
        0.0169037,
        0.0163522,
        0.0168982,
        0.0161474,
        0.0159128,
        0.0163862,
        0.01615,
        0.0156501,
        0.0162191,
        0.0178159,
        0.0166645,
        0.0163021,
        0.0171703,
        0.0177808,
        0.0172272,
        0.0166966,
        0.0172595,
        0.0174919,
        0.0182482,
        0.0184808,
        0.0177584,
        0.0168923,
        0.0177652,
        0.018093,
        0.0176226,
        null,
        0.0636692,
        0.0477028,
        0.0317364,
        0.0212207,
        0.0210548,
        0.0205521,
        0.0191959,
        0.0224497,
        0.0235819,
        0.0241718,
        0.0250991,
        0.0251479,
        0.0234251,
        0.0217397,
        0.0223145,
        0.0237765,
        0.0246613,
        0.026209,
        0.0239978,
        0.0224273,
        0.0220402,
        0.0231066,
        0.0235518,
        0.0231747,
        0.0230233,
        0.0217499,
        0.021909,
        0.0276399,
        0.0255417,
        0.0251826,
        0.0243551,
        0.0243395,
        0.0248108,
        0.0262696,
        0.0274706,
        0.0247604,
        0.0235546,
        0.022464,
        0.0229246,
        0.0229566,
        0.0224644,
        0.02392,
        0.0264385,
        0.0259941,
        0.0233719,
        0.0236503,
        0.0230538,
        0.0239453,
        0.0261586,
        0.0308215,
        0.0269373,
        0.024872,
        0.0256884,
        0.0261324,
        0.025238,
        0.0238773,
        0.0226696,
        0.0264643,
        0.0247485,
        0.0265125,
        0.0266988,
        0.0262192,
        0.0258055,
        0.0256125,
        0.0262453,
        0.0275168,
        0.0268226,
        0.0259763,
        0.0239211,
        0.0287494,
        0.031341,
        0.0290142,
        0.026989,
        0.0275609,
        0.0289732,
        0.0300819,
        0.032003,
        0.0342072,
        0.0302282,
        0.0294279,
        0.0302301,
        0.0303225,
        0.0326218,
        0.0342883,
        0.0345982,
        0.037517,
        0.0397787,
        0.0381555,
        0.0373048,
        0.038139,
        0.0374828,
        0.0378676,
        0.0379508,
        0.0405574,
        0.0500577,
        0.0587463,
        0.0497767,
        0.0530582,
        0.0506996,
        0.0499864,
        0.0561714,
        0.0550482,
        0.0529708,
        0.0556045,
        0.0577116,
        0.0564898,
        0.0618082,
        0.0594892,
        0.0584884,
        0.0713603,
        0.087254,
        0.0854929,
        0.087019,
        0.0942068,
        0.0988651,
        0.106767,
        0.126438,
        0.148607,
        0.124958,
        0.1065,
        0.123666,
        0.151038,
        0.208941,
        0.264027,
        0.240131,
        0.152458,
        0.154033,
        0.186364,
        0.313078,
        0.335857,
        0.422265,
        0.32588,
        0.23194,
        0.195776,
        0.210375,
        0.500971,
        0.385895,
        null,
        0.280855,
        0.273244,
        0.517827,
        0.58049,
        0.35596,
        0.561576,
        0.51956,
        0.486633,
        0.169383,
        0.119834,
        0.426026,
        0.409737,
        0.37946,
        0.310167,
        0.365967,
        0.218385,
        0.30308,
        0.374381,
        0.316464,
        0.158721,
        0.146642,
        0.150318,
        0.211272,
        0.152858,
        0.164621,
        0.162288,
        0.136407,
        0.115171,
        0.106845,
        0.112968,
        0.168897,
        0.147244,
        0.157269,
        0.128884,
        0.121391,
        0.107334,
        0.108694,
        0.113024,
        0.0895882,
        0.0826948,
        0.0944514,
        0.11094,
        0.0956344,
        0.102221,
        0.108417,
        0.0938454,
        0.0761955,
        0.0750611,
        0.0732585,
        0.0634102,
        0.069584,
        0.0642432,
        0.0597394,
        0.0678611,
        0.0664971,
        0.0660604,
        0.075145,
        0.0722861,
        0.0604141,
        0.0576152,
        0.0752497,
        0.0614532,
        0.0574866,
        0.0657151,
        0.0743082,
        0.0763271,
        0.0704588,
        0.0561753,
        0.0650663,
        0.092143,
        0.0854198,
        0.0679617,
        0.0556462,
        0.0522127,
        0.0578253,
        0.0661374,
        0.0636269,
        0.0587443,
        0.0675578,
        0.0648904,
        0.0566942,
        0.0592612,
        0.0601746,
        0.0555343,
        0.0599818,
        0.0775205,
        0.0713435,
        0.0622329,
        0.0661773,
        0.0708563,
        0.0679228,
        0.0661583,
        0.0680694,
        0.0773859,
        0.0964561,
        0.0913153,
        0.0757382,
        0.0671728,
        0.0742816,
        0.0739664,
        0.0703228,
        0.0648473,
        0.0640078,
        0.0797913,
        0.0943022,
        0.0801802,
        0.0668348,
        0.0629128,
        0.0634698,
        0.0742153,
        0.0828949,
        0.0804546,
        0.0773417,
        0.0804748,
        0.0879352,
        0.0778679,
        0.0758032,
        0.0739801,
        0.0754782,
        0.082831,
        0.0957876,
        0.1033,
        0.0914463,
        0.127505,
        0.119478,
        0.0890459,
        0.099434,
        0.101582,
        0.0853567,
        0.0751803,
        0.0831676,
        0.0897528,
        0.0812596,
        0.0753097,
        0.0890926,
        0.0876093,
        0.0878956,
        0.0913771,
        0.0896758,
        0.0828524,
        0.0816061,
        0.0868577,
        0.0783905,
        0.103404,
        0.105915,
        0.104335,
        0.104171,
        0.101513,
        0.0965124,
        0.0950103,
        0.104367,
        0.113936,
        0.120891,
        0.139978,
        0.11583,
        0.0960514,
        0.0933196,
        0.0807701,
        0.095729,
        0.113081,
        0.11063,
        0.162781,
        0.15757,
        0.152597,
        0.154008,
        0.165317,
        0.167502,
        0.108058,
        0.13499,
        0.133187,
        0.13592,
        0.152611,
        0.186314,
        0.203209,
        0.188995,
        0.178474,
        0.224428,
        0.303869,
        0.460934,
        0.277788,
        0.163446,
        0.15172,
        0.206186,
        0.291077,
        0.333976,
        0.279742,
        0.41442,
        0.368567,
        0.275195,
        0.226931,
        0.232561,
        0.247718,
        0.222585,
        0.206573,
        0.32911,
        0.30431,
        0.378452,
        0.506786,
        0.25382,
        0.212995,
        0.344253,
        0.505398,
        0.423941,
        0.521945,
        0.784856,
        0.58331,
        0.722591,
        0.638569,
        0.665101,
        null,
        0.403631,
        0.491396,
        0.380976,
        0.260115,
        0.254799,
        0.239871,
        0.146611,
        0.229374,
        0.291335,
        0.229091,
        0.155584,
        0.135786,
        0.149748,
        0.160002,
        0.167874,
        0.198839,
        0.214423,
        0.154122,
        0.115239,
        0.0975444,
        0.110238,
        0.133454,
        0.144813,
        0.167717,
        0.150437,
        0.149465,
        0.156451,
        0.127833,
        0.089168,
        0.0728954,
        0.0974799,
        0.147389,
        0.114752,
        0.0850934,
        0.105854,
        0.099607,
        0.083401,
        0.0737752,
        0.0709948,
        0.0709913,
        0.0785592,
        0.0742058,
        0.0741041,
        0.0883173,
        0.0923379,
        0.0819623,
        0.0769489,
        0.0877441,
        0.0875806,
        0.0779665,
        0.0675051,
        0.0636392,
        0.0713614,
        0.0791649,
        0.077292,
        0.0697774,
        0.0687936,
        0.0661567,
        0.0737258,
        0.0672976,
        0.0725373,
        0.071742,
        0.0731323,
        0.0767671,
        0.0647795,
        0.0682901,
        0.0791098,
        0.0732544,
        0.0581399,
        0.0524008,
        0.0557498,
        0.058665,
        0.0565324,
        0.0546021,
        0.0611117,
        0.0627041,
        0.0630235,
        0.0610202,
        0.0624533,
        0.0605472,
        0.0508109,
        0.0521007,
        0.0554474,
        0.0575088,
        0.053792,
        0.0481331,
        0.0451713,
        0.0476816,
        0.0528348,
        0.0539939,
        0.0522877,
        0.0561091,
        0.0537791,
        0.0511685,
        0.0476132,
        0.0467358,
        0.0501356,
        0.0525943,
        0.0455966,
        0.0401413,
        0.044519,
        0.0442902,
        0.0464518,
        0.0475656,
        0.0428885,
        0.042752,
        0.0453515,
        0.0410453,
        0.0391782,
        0.0364135,
        0.040402,
        0.0390536,
        0.0380409,
        0.0387838,
        0.0384108,
        0.0360056,
        0.0365952,
        0.0390562,
        0.0360452,
        0.03494,
        0.0396345,
        0.0403114,
        0.0383446,
        0.0423556,
        0.0521997,
        0.054536,
        0.0559236,
        0.0730392,
        0.0998888,
        0.109715,
        0.113989,
        0.146478,
        0.213024,
        0.237226,
        0.149094,
        0.104258,
        0.072321,
        0.0681415,
        0.0703967,
        0.0585859,
        0.0438209,
        0.0383566,
        0.0427365,
        0.0421391,
        0.0371674,
        0.0355082,
        0.0358035,
        0.0360264,
        0.0363126,
        0.0318084,
        0.0340551,
        0.0319484,
        0.0304218,
        0.0283281,
        0.0283998,
        0.0308112,
        0.0318463,
        0.0308101,
        0.0344635,
        0.0335739,
        0.0338235,
        0.0334258,
        0.0336741,
        0.0335919,
        0.0359805,
        0.034862,
        0.0324517,
        0.0317915,
        0.0327356,
        0.0319894,
        0.0307891,
        0.0317117,
        0.0319783,
        0.0339625,
        0.0336131,
        0.0317663,
        0.0293149,
        0.0307643,
        0.0334162,
        0.0324324,
        0.0303466,
        0.0298172,
        0.0292677,
        0.0303961,
        0.0307315,
        0.0299612,
        0.0295042,
        0.029202,
        0.026665,
        0.0268689,
        0.0282065,
        0.0272996,
        0.0272414,
        0.0289181,
        0.0291553,
        0.0272798,
        0.0288004,
        0.0281201,
        0.0247302,
        0.0256562,
        0.026116,
        0.0267902,
        0.0278901,
        0.0294267,
        0.0321845,
        0.031481,
        0.0296864,
        0.0281079,
        0.0278858,
        0.027096,
        0.0265701,
        0.0275757,
        0.0285983,
        0.0317816,
        0.0299978,
        0.0262618,
        0.0264241,
        0.0273179,
        0.0272234,
        0.0273743,
        0.0284296,
        0.0282425,
        0.0272591,
        0.0263596,
        0.0248514,
        0.0251082,
        0.0261506,
        0.0255495,
        0.0237441,
        0.0238021,
        0.0234266,
        0.0226445,
        0.0240929,
        0.0247654,
        0.0245797,
        0.0250866,
        0.0251685,
        0.025124,
        0.0247199,
        0.0230689,
        0.025266,
        0.0264795,
        0.0256234,
        0.0264037,
        0.0298226,
        0.0290025,
        0.0268461,
        0.0287316,
        0.0309141,
        0.0302632,
        0.0284527,
        0.028399,
        0.0286747,
        0.0281953,
        0.0278772,
        0.030415,
        0.0312523,
        0.0334311,
        0.0367509,
        0.0375226,
        0.0363684,
        0.0370461,
        0.0376224,
        0.0375122,
        0.0396928,
        0.0438267,
        0.047468,
        0.0498988,
        0.0550422,
        0.0621926,
        0.067103,
        0.0826745,
        0.0929097,
        0.0904268,
        0.081179,
        0.0751151,
        0.0711032,
        0.0717987,
        0.0737259,
        0.0696669,
        0.0621459,
        0.0582014,
        0.0528829,
        0.0390019,
        0.0366197,
        0.0390352,
        0.0367701,
        0.0328022,
        0.0327572,
        0.0333186,
        0.0326198,
        0.0333919,
        0.0315483,
        0.0284394,
        0.0288069,
        0.0290558,
        0.0300801,
        0.0315916,
        0.0319483,
        0.0303711,
        0.0303503,
        0.0286195,
        0.0257693,
        0.0265167,
        0.027153
    ]
}