GET /api/crires_4645nm_4867nm_hh_100/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.6447834933034375,
        4.644803313364589,
        4.644823133425742,
        4.6448429534868945,
        4.644862773548047,
        4.6448825936092,
        4.644902413670352,
        4.644922233731504,
        4.644942053792657,
        4.644961873853809,
        4.6449816939149615,
        4.645001513976115,
        4.645021334037267,
        4.6450411540984184,
        4.645060974159572,
        4.645080794220724,
        4.645100614281877,
        4.6451204343430295,
        4.645140254404181,
        4.645160074465333,
        4.645179894526486,
        4.645199714587639,
        4.645219534648792,
        4.645239354709944,
        4.645259174771096,
        4.645278994832248,
        4.645298814893401,
        4.645318634954554,
        4.645338455015707,
        4.645358275076858,
        4.64537809513801,
        4.645397915199163,
        4.645417735260316,
        4.645437555321469,
        4.645457375382621,
        4.645477195443773,
        4.645497015504925,
        4.645516835566077,
        4.6455366556272315,
        4.645556475688384,
        4.645576295749535,
        4.6455961158106875,
        4.64561593587184,
        4.645635755932992,
        4.645655575994146,
        4.645675396055299,
        4.64569521611645,
        4.645715036177602,
        4.645734856238755,
        4.645754676299907,
        4.645774496361061,
        4.645794316422213,
        4.645814136483365,
        4.645833956544517,
        4.645853776605669,
        4.6458735966668225,
        4.645893416727976,
        4.645913236789127,
        4.6459330568502795,
        4.645952876911432,
        4.645972696972584,
        4.645992517033737,
        4.6460123370948905,
        4.646032157156042,
        4.646051977217194,
        4.6460717972783465,
        4.6460916173395,
        4.646111437400652,
        4.646131257461804,
        4.646151077522957,
        4.646170897584109,
        4.646190717645261,
        4.6462105377064145,
        4.646230357767567,
        4.646250177828719,
        4.646269997889871,
        4.646289817951024,
        4.646309638012176,
        4.646329458073329,
        4.646349278134481,
        4.646369098195634,
        4.646388918256786,
        4.646408738317938,
        4.646428558379092,
        4.646448378440244,
        4.646468198501395,
        4.646488018562549,
        4.646507838623701,
        4.646527658684853,
        4.646547478746006,
        4.646567298807158,
        4.64658711886831,
        4.646606938929463,
        4.646626758990616,
        4.646646579051769,
        4.646666399112921,
        4.6466862191740725,
        4.646706039235225,
        4.646725859296378,
        4.64674567935753,
        4.6467654994186836,
        4.646785319479836,
        4.646805139540987,
        4.64682495960214,
        4.646844779663293,
        4.646864599724446,
        4.646884419785598,
        4.64690423984675,
        4.646924059907902,
        4.646943879969054,
        4.6469637000302075,
        4.646983520091361,
        4.647003340152513,
        4.6470231602136645,
        4.647042980274817,
        4.647062800335969,
        4.647082620397122,
        4.6471024404582755,
        4.647122260519427,
        4.647142080580579,
        4.6471619006417315,
        4.647181720702884,
        4.647201540764038,
        4.64722136082519,
        4.647241180886342,
        4.647261000947494,
        4.647280821008646,
        4.647300641069799,
        4.647320461130953,
        4.647340281192104,
        4.647360101253256,
        4.647379921314409,
        4.647399741375561,
        4.647419561436714,
        4.647439381497867,
        4.647459201559019,
        4.647479021620171,
        4.647498841681323,
        4.647518661742476,
        4.647538481803629,
        4.647558301864781,
        4.647578121925934,
        4.647597941987086,
        4.647617762048238,
        4.6476375821093905,
        4.647657402170544,
        4.647677222231696,
        4.647697042292848,
        4.647716862354001,
        4.647736682415153,
        4.647756502476306,
        4.6477763225374575,
        4.647796142598611,
        4.647815962659763,
        4.647835782720915,
        4.647855602782068,
        4.647875422843221,
        4.647895242904372,
        4.6479150629655255,
        4.647934883026678,
        4.64795470308783,
        4.647974523148983,
        4.647994343210136,
        4.648014163271287,
        4.64803398333244,
        4.6480538033935925,
        4.648073623454745,
        4.648093443515898,
        4.6481132635770495,
        4.648133083638202,
        4.648152903699355,
        4.648172723760507,
        4.6481925438216605,
        4.648212363882813,
        4.648232183943964,
        4.6482520040051165,
        4.64827182406627,
        4.648291644127422,
        4.648311464188575,
        4.648331284249727,
        4.648351104310879,
        4.648370924372031,
        4.6483907444331845,
        4.648410564494337,
        4.64843038455549,
        4.648450204616641,
        4.648470024677794,
        4.648489844738946,
        4.648509664800099,
        4.648529484861252,
        4.648549304922404,
        4.648569124983556,
        4.648588945044708,
        4.648608765105861,
        4.648628585167014,
        4.648648405228167,
        4.648668225289319,
        4.648688045350471,
        4.648707865411623,
        4.6487276854727755,
        4.64874750553393,
        4.648767325595082,
        4.648787145656233,
        4.648806965717386,
        4.648826785778538,
        4.64884660583969,
        4.6490051663289105,
        4.649024986390063,
        4.649044806451215,
        4.649064626512367,
        4.649084446573521,
        4.649104266634673,
        4.649124086695825,
        4.6491439067569775,
        4.64916372681813,
        4.649183546879282,
        4.649203366940435,
        4.649223187001588,
        4.64924300706274,
        4.649262827123892,
        4.649282647185045,
        4.649302467246198,
        4.649322287307349,
        4.649342107368502,
        4.649361927429655,
        4.649381747490807,
        4.649401567551959,
        4.6494213876131125,
        4.649441207674264,
        4.649461027735417,
        4.6494808477965694,
        4.649500667857722,
        4.649520487918874,
        4.649540307980026,
        4.649560128041179,
        4.649579948102332,
        4.649599768163484,
        4.6496195882246365,
        4.64963940828579,
        4.649659228346941,
        4.649679048408093,
        4.649698868469247,
        4.649718688530399,
        4.649738508591551,
        4.649758328652704,
        4.649778148713856,
        4.649797968775008,
        4.649817788836161,
        4.649837608897314,
        4.649857428958467,
        4.649877249019618,
        4.649897069080771,
        4.649916889141923,
        4.649936709203076,
        4.649956529264228,
        4.649976349325382,
        4.649996169386533,
        4.650015989447685,
        4.650035809508838,
        4.650055629569991,
        4.650075449631144,
        4.6500952696922955,
        4.650115089753448,
        4.6501349098146,
        4.650154729875752,
        4.650174549936906,
        4.650194369998059,
        4.65021419005921,
        4.6502340101203625,
        4.650253830181515,
        4.650273650242667,
        4.65029347030382,
        4.650313290364973,
        4.650333110426125,
        4.650352930487277,
        4.65037275054843,
        4.650392570609582,
        4.650412390670736,
        4.650432210731887,
        4.65045203079304,
        4.650471850854192,
        4.650491670915344,
        4.650511490976497,
        4.65053131103765,
        4.650551131098802,
        4.6505709511599544,
        4.650590771221107,
        4.650610591282259,
        4.650630411343412,
        4.650650231404565,
        4.650670051465717,
        4.650689871526869,
        4.6507096915880215,
        4.650729511649174,
        4.650749331710326,
        4.650769151771479,
        4.650788971832632,
        4.650808791893784,
        4.650828611954936,
        4.6508484320160886,
        4.650868252077241,
        4.650888072138394,
        4.650907892199546,
        4.650927712260699,
        4.650947532321851,
        4.650967352383004,
        4.650987172444156,
        4.651006992505309,
        4.651026812566461,
        4.651046632627613,
        4.651066452688766,
        4.651086272749918,
        4.65110609281107,
        4.6511259128722235,
        4.651145732933376,
        4.651165552994528,
        4.651185373055681,
        4.651205193116833,
        4.651225013177985,
        4.651244833239138,
        4.651264653300291,
        4.651284473361443,
        4.651304293422595,
        4.6513241134837475,
        4.6513439335449,
        4.651363753606053,
        4.651383573667205,
        4.6514033937283585,
        4.65142321378951,
        4.651443033850662,
        4.651462853911815,
        4.651482673972968,
        4.65150249403412,
        4.651522314095272,
        4.651542134156425,
        4.651561954217577,
        4.651581774278729,
        4.6516015943398825,
        4.651621414401035,
        4.651641234462187,
        4.6516610545233394,
        4.651680874584492,
        4.651700694645644,
        4.651720514706797,
        4.6517403347679505,
        4.651760154829102,
        4.651779974890254,
        4.6517997949514065,
        4.651819615012559,
        4.651839435073712,
        4.651859255134864,
        4.651879075196017,
        4.651898895257169,
        4.651918715318321,
        4.6519385353794735,
        4.651958355440628,
        4.651978175501779,
        4.651997995562931,
        4.652017815624084,
        4.652037635685236,
        4.652057455746388,
        4.6520772758075415,
        4.652097095868694,
        4.652116915929846,
        4.652136735990998,
        4.652156556052151,
        4.652176376113303,
        4.652196196174456,
        4.6522160162356085,
        4.652235836296761,
        4.652255656357913,
        4.6522754764190655,
        4.652295296480218,
        4.652315116541371,
        4.652334936602523,
        4.652354756663676,
        4.652374576724828,
        4.65239439678598,
        4.6524142168471325,
        4.652434036908286,
        4.652453856969438,
        4.65247367703059,
        4.652493497091743,
        4.652513317152895,
        4.652533137214047,
        4.6525529572752005,
        4.652572777336353,
        4.652592597397505,
        4.652612417458657,
        4.65263223751981,
        4.652652057580962,
        4.652671877642115,
        4.6526916977032675,
        4.65271151776442,
        4.652731337825573,
        4.652751157886724,
        4.652770977947877,
        4.65279079800903,
        4.652810618070182,
        4.652830438131335,
        4.652850258192487,
        4.652870078253639,
        4.6528898983147915,
        4.652909718375945,
        4.652929538437097,
        4.652949358498249,
        4.652969178559402,
        4.652988998620554,
        4.653008818681706,
        4.653028638742859,
        4.653048458804012,
        4.653068278865164,
        4.653088098926316,
        4.653107918987469,
        4.653127739048621,
        4.653147559109774,
        4.6531673791709265,
        4.653187199232079,
        4.653207019293231,
        4.653226839354383,
        4.653246659415536,
        4.653266479476689,
        4.653286299537841,
        4.6533061195989935,
        4.653325939660146,
        4.653345759721298,
        4.6533655797824505,
        4.653385399843604,
        4.653405219904756,
        4.653425039965908,
        4.653444860027061,
        4.653464680088213,
        4.653484500149365,
        4.6535043202105175,
        4.653524140271671,
        4.653543960332823,
        4.653563780393975,
        4.653583600455128,
        4.65360342051628,
        4.653623240577433,
        4.6536430606385855,
        4.653662880699738,
        4.65368270076089,
        4.653702520822042,
        4.653722340883194,
        4.653742160944348,
        4.6537619810055,
        4.6537818010666525,
        4.653801621127805,
        4.653821441188957,
        4.653841261250109,
        4.653861081311263,
        4.653880901372415,
        4.653900721433567,
        4.65392054149472,
        4.653940361555872,
        4.653960181617024,
        4.653980001678177,
        4.65399982173933,
        4.654019641800482,
        4.654039461861634,
        4.654059281922787,
        4.654079101983939,
        4.654098922045092,
        4.654118742106244,
        4.654138562167397,
        4.654158382228549,
        4.654178202289701,
        4.654198022350854,
        4.654217842412007,
        4.654237662473159,
        4.6542574825343115,
        4.654277302595463,
        4.654297122656616,
        4.654316942717768,
        4.654336762778922,
        4.654356582840074,
        4.654376402901226,
        4.6543962229623785,
        4.654416043023531,
        4.654435863084683,
        4.654455683145836,
        4.654475503206989,
        4.65449532326814,
        4.654515143329293,
        4.654534963390446,
        4.654554783451598,
        4.654574603512751,
        4.654594423573903,
        4.654614243635056,
        4.654634063696208,
        4.65465388375736,
        4.654673703818513,
        4.654693523879666,
        4.654713343940818,
        4.6547331640019705,
        4.654752984063123,
        4.654772804124275,
        4.654792624185427,
        4.654812444246581,
        4.654832264307732,
        4.654852084368885,
        4.6548719044300375,
        4.65489172449119,
        4.654911544552342,
        4.654931364613495,
        4.654951184674648,
        4.6549710047358,
        4.654990824796952,
        4.655010644858105,
        4.655030464919257,
        4.655050284980409,
        4.655070105041562,
        4.655089925102715,
        4.655109745163867,
        4.655129565225019,
        4.655149385286172,
        4.655169205347325,
        4.655189025408477,
        4.655208845469629,
        4.655228665530782,
        4.655248485591934,
        4.6552683056530855,
        4.6552881257142396,
        4.655307945775392,
        4.655327765836544,
        4.6553475858976965,
        4.655367405958849,
        4.65538722602,
        4.655407046081154,
        4.655426866142307,
        4.655446686203459,
        4.655466506264611,
        4.655486326325763,
        4.655506146386916,
        4.655525966448069,
        4.655545786509221,
        4.655565606570374,
        4.655585426631526,
        4.655605246692677,
        4.655625066753831,
        4.655644886814984,
        4.655664706876136,
        4.655684526937288,
        4.655704346998441,
        4.655724167059593,
        4.655743987120745,
        4.6557638071818985,
        4.655783627243051,
        4.655803447304203,
        4.655823267365355,
        4.655843087426508,
        4.655862907487661,
        4.655882727548813,
        4.655902547609966,
        4.655922367671118,
        4.65594218773227,
        4.6559620077934225,
        4.655981827854576,
        4.656001647915728,
        4.65602146797688,
        4.656041288038032,
        4.656061108099185,
        4.656080928160337,
        4.6561007482214904,
        4.656120568282643,
        4.656140388343795,
        4.6561602084049465,
        4.6561800284661,
        4.656199848527252,
        4.656219668588405,
        4.6562394886495575,
        4.656259308710709,
        4.656279128771862,
        4.656298948833014,
        4.656318768894167,
        4.65633858895532,
        4.656358409016472,
        4.656378229077624,
        4.656398049138777,
        4.656417869199929,
        4.6564376892610815,
        4.656457509322235,
        4.656477329383386,
        4.656497149444539,
        4.656516969505692,
        4.656536789566844,
        4.656556609627996,
        4.656576429689149,
        4.656596249750301,
        4.656616069811454,
        4.656635889872606,
        4.656655709933759,
        4.656675529994911,
        4.656695350056064,
        4.656715170117216,
        4.656734990178369,
        4.656754810239521,
        4.657111571340265,
        4.657131391401418,
        4.657151211462569,
        4.657171031523723,
        4.6571908515848754,
        4.657210671646028,
        4.65723049170718,
        4.6572503117683315,
        4.657270131829485,
        4.657289951890638,
        4.65730977195179,
        4.6573295920129425,
        4.657349412074095,
        4.657369232135246,
        4.657389052196399,
        4.657408872257553,
        4.657428692318705,
        4.657448512379857,
        4.657468332441009,
        4.657488152502161,
        4.657507972563314,
        4.657527792624467,
        4.65754761268562,
        4.657567432746772,
        4.657587252807923,
        4.657607072869077,
        4.657626892930229,
        4.657646712991382,
        4.657666533052534,
        4.657686353113687,
        4.657706173174838,
        4.657725993235991,
        4.657745813297144,
        4.657765633358297,
        4.657785453419449,
        4.657805273480601,
        4.657825093541754,
        4.657844913602906,
        4.657864733664058,
        4.657884553725212,
        4.657904373786364,
        4.657924193847515,
        4.6579440139086685,
        4.657963833969821,
        4.657983654030973,
        4.658003474092126,
        4.658023294153278,
        4.65804311421443,
        4.658062934275583,
        4.658082754336736,
        4.658102574397888,
        4.658122394459041,
        4.6581422145201925,
        4.658162034581346,
        4.658181854642498,
        4.65820167470365,
        4.658221494764803,
        4.658241314825955,
        4.658261134887107,
        4.65828095494826,
        4.658300775009413,
        4.658320595070565,
        4.658340415131717,
        4.65836023519287,
        4.658380055254023,
        4.658399875315175,
        4.6584196953763275,
        4.65843951543748,
        4.658459335498631,
        4.658479155559784,
        4.658498975620938,
        4.65851879568209,
        4.658538615743242,
        4.6585584358043945,
        4.658578255865546,
        4.6585980759267,
        4.658617895987852,
        4.658637716049005,
        4.658657536110157,
        4.658677356171309,
        4.658697176232461,
        4.658716996293615,
        4.658736816354767,
        4.658756636415919,
        4.658776456477072,
        4.658796276538223,
        4.6588160965993755,
        4.6588359166605295,
        4.658855736721682,
        4.658875556782834,
        4.6588953768439865,
        4.658915196905138,
        4.658935016966291,
        4.658954837027444,
        4.658974657088597,
        4.658994477149749,
        4.6590142972109,
        4.659034117272053,
        4.659053937333206,
        4.659073757394359,
        4.659093577455511,
        4.659113397516664,
        4.659133217577815,
        4.659153037638968,
        4.659172857700121,
        4.659192677761274,
        4.659212497822426,
        4.6592323178835775,
        4.65925213794473,
        4.659271958005883,
        4.659291778067035,
        4.6593115981281885,
        4.659331418189341,
        4.659351238250492,
        4.6593710583116446,
        4.659390878372798,
        4.65941069843395,
        4.659430518495103,
        4.659450338556255,
        4.659470158617407,
        4.65948997867856,
        4.6595097987397125,
        4.659529618800865,
        4.659549438862018,
        4.659569258923169,
        4.659589078984322,
        4.659608899045475,
        4.659628719106627,
        4.6596485391677795,
        4.659668359228933,
        4.659688179290084,
        4.659707999351237,
        4.65972781941239,
        4.659747639473542,
        4.659767459534694,
        4.659787279595847,
        4.659807099656999,
        4.659826919718152,
        4.659846739779304,
        4.659866559840457,
        4.659886379901609,
        4.659906199962761,
        4.659926020023914,
        4.659945840085067,
        4.659965660146219,
        4.6599854802073715,
        4.660005300268523,
        4.660025120329676,
        4.660044940390829,
        4.660064760451982,
        4.660084580513134,
        4.660104400574286,
        4.660124220635438,
        4.660144040696591,
        4.660163860757744,
        4.660183680818896,
        4.660203500880049,
        4.6602233209412,
        4.660243141002352,
        4.6602629610635065,
        4.660282781124659,
        4.660302601185811,
        4.660322421246963,
        4.660342241308115,
        4.660362061369267,
        4.660381881430421,
        4.6604017014915735,
        4.660421521552726,
        4.660441341613877,
        4.6604611616750296,
        4.660480981736183,
        4.660500801797336,
        4.660520621858488,
        4.660540441919641,
        4.660560261980792,
        4.660580082041944,
        4.6605999021030975,
        4.660619722164251,
        4.660639542225403,
        4.660659362286555,
        4.660679182347707,
        4.660699002408859,
        4.660718822470012,
        4.660738642531165,
        4.660758462592318,
        4.660778282653469,
        4.6607981027146215,
        4.660817922775775,
        4.660837742836927,
        4.66085756289808,
        4.6608773829592325,
        4.660897203020384,
        4.660917023081536,
        4.660936843142689,
        4.660956663203842,
        4.660976483264995,
        4.660996303326146,
        4.661016123387299,
        4.661035943448452,
        4.661055763509604,
        4.6610755835707565,
        4.66109540363191,
        4.661115223693061,
        4.661135043754213,
        4.661154863815367,
        4.661174683876519,
        4.661194503937671,
        4.6612143239988235,
        4.661234144059976,
        4.661253964121128,
        4.661273784182281,
        4.661293604243434,
        4.661313424304586,
        4.661333244365738,
        4.661353064426891,
        4.661372884488044,
        4.661392704549196,
        4.661412524610348,
        4.6614323446715,
        4.661452164732653,
        4.661471984793805,
        4.6614918048549585,
        4.661511624916111,
        4.661531444977263,
        4.6615512650384145,
        4.661571085099568,
        4.661590905160721,
        4.661610725221873,
        4.661630545283026,
        4.661650365344178,
        4.661670185405329,
        4.6616900054664825,
        4.661709825527636,
        4.661729645588788,
        4.66174946564994,
        4.661769285711092,
        4.661789105772244,
        4.661808925833398,
        4.66182874589455,
        4.661848565955703,
        4.661868386016855,
        4.6618882060780065,
        4.661908026139159,
        4.661927846200313,
        4.661947666261465,
        4.6619674863226175,
        4.661987306383769,
        4.662007126444921,
        4.6620269465060735,
        4.662046766567228,
        4.66206658662838,
        4.662086406689532,
        4.662106226750684,
        4.662126046811836,
        4.662145866872989,
        4.662165686934142,
        4.662185506995295,
        4.662205327056446,
        4.662225147117598,
        4.662244967178751,
        4.662264787239904,
        4.662284607301057,
        4.662304427362209,
        4.662324247423361,
        4.662344067484513,
        4.662363887545666,
        4.662383707606819,
        4.662403527667972,
        4.662423347729123,
        4.662443167790276,
        4.662462987851428,
        4.662482807912581,
        4.662502627973733,
        4.662522448034887,
        4.662542268096038,
        4.66256208815719,
        4.662581908218343,
        4.662601728279496,
        4.662621548340648,
        4.662641368401801,
        4.662661188462953,
        4.662681008524105,
        4.662700828585258,
        4.662720648646411,
        4.662740468707563,
        4.662760288768715,
        4.6627801088298675,
        4.66279992889102,
        4.662819748952173,
        4.662839569013325,
        4.662859389074478,
        4.66287920913563,
        4.662899029196782,
        4.662918849257935,
        4.662938669319088,
        4.66295848938024,
        4.6629783094413915,
        4.662998129502545,
        4.663017949563697,
        4.66303776962485,
        4.6630575896860025,
        4.663077409747155,
        4.663097229808306,
        4.663117049869459,
        4.663136869930613,
        4.663156689991765,
        4.663176510052917,
        4.663196330114069,
        4.663216150175221,
        4.663235970236374,
        4.663255790297527,
        4.66327561035868,
        4.663295430419832,
        4.663315250480983,
        4.663335070542136,
        4.663354890603289,
        4.663374710664442,
        4.663394530725594,
        4.663414350786746,
        4.663434170847898,
        4.66345399090905,
        4.6634738109702045,
        4.663493631031357,
        4.663513451092509,
        4.663533271153661,
        4.663553091214813,
        4.663572911275965,
        4.663592731337119,
        4.663612551398272,
        4.663632371459424,
        4.663652191520575,
        4.663672011581728,
        4.663691831642881,
        4.663711651704034,
        4.663731471765186,
        4.663751291826338,
        4.66377111188749,
        4.663790931948642,
        4.663810752009796,
        4.663830572070949,
        4.663850392132101,
        4.6638702121932525,
        4.663890032254405,
        4.663909852315557,
        4.66392967237671,
        4.6639494924378635,
        4.663969312499015,
        4.663989132560167,
        4.6640089526213195,
        4.664028772682473,
        4.664048592743625,
        4.664068412804778,
        4.66408823286593,
        4.664108052927082,
        4.664127872988234,
        4.6641476930493875,
        4.66416751311054,
        4.664187333171692,
        4.664207153232844,
        4.664226973293997,
        4.66424679335515,
        4.664266613416302,
        4.6642864334774545,
        4.664306253538607,
        4.664326073599759,
        4.6643458936609115,
        4.664365713722065,
        4.664385533783217,
        4.664405353844368,
        4.664425173905522,
        4.664444993966674,
        4.664464814027826,
        4.664484634088979,
        4.664504454150132,
        4.664524274211283,
        4.664544094272436,
        4.664563914333589,
        4.664583734394742,
        4.664603554455894,
        4.6646233745170465,
        4.664643194578198,
        4.664663014639351,
        4.664682834700503,
        4.664702654761657,
        4.664722474822809,
        4.66474229488396,
        4.664762114945113,
        4.664781935006266,
        4.664801755067419,
        4.664821575128571,
        4.664841395189724,
        4.664861215250875,
        4.664881035312027,
        4.6649008553731806,
        4.664920675434334,
        4.664940495495486,
        4.6649603155566375,
        4.66498013561779,
        4.664999955678942,
        4.665019775740096,
        4.6650395958012485,
        4.665059415862401,
        4.665079235923552,
        4.6650990559847045,
        4.665118876045857,
        4.665138696107011,
        4.665158516168163,
        4.665178336229315,
        4.665198156290467,
        4.665217976351619,
        4.665237796412772,
        4.665257616473926,
        4.665277436535078,
        4.665297256596229,
        4.665317076657382,
        4.665336896718534,
        4.665356716779687,
        4.66537653684084,
        4.665396356901992,
        4.665416176963144,
        4.6654359970242965,
        4.665455817085449,
        4.665475637146602,
        4.665495457207755,
        4.665515277268907,
        4.665535097330059,
        4.665554917391211,
        4.665574737452364,
        4.665594557513517,
        4.66561437757467,
        4.665634197635821,
        4.665654017696974,
        4.665673837758126,
        4.665693657819279,
        4.6657134778804314,
        4.665733297941584,
        4.665753118002736,
        4.665772938063888,
        4.665792758125041,
        4.665812578186194,
        4.665832398247346,
        4.6658522183084985,
        4.665872038369651,
        4.665891858430803,
        4.665911678491956,
        4.665931498553109,
        4.66595131861426,
        4.665971138675413,
        4.6659909587365656,
        4.666010778797718,
        4.666030598858871,
        4.666050418920023,
        4.666070238981175,
        4.666090059042328,
        4.66610987910348,
        4.6661296991646335,
        4.666149519225786,
        4.666169339286937,
        4.6661891593480895,
        4.666208979409243,
        4.666228799470395,
        4.666248619531548,
        4.6662684395927005,
        4.666288259653852,
        4.666308079715004,
        4.6663278997761575,
        4.666347719837311,
        4.666367539898463,
        4.666387359959614,
        4.666407180020767,
        4.666427000081919,
        4.666446820143072,
        4.666466640204225,
        4.666486460265378,
        4.666506280326529,
        4.6665261003876815,
        4.666545920448834,
        4.666565740509987,
        4.66658556057114,
        4.6666053806322925,
        4.666625200693444,
        4.666645020754596,
        4.6666648408157485,
        4.666684660876903,
        4.666704480938055,
        4.666724300999206,
        4.666744121060359,
        4.666763941121511,
        4.666783761182663,
        4.666803581243817,
        4.66682340130497,
        4.666843221366121,
        4.666863041427273,
        4.666882861488426,
        4.666902681549579,
        4.666922501610732,
        4.6669423216718835,
        4.666962141733036,
        4.666981961794188,
        4.66700178185534,
        4.6670216019164945,
        4.667041421977647,
        4.667061242038798,
        4.6670810620999506,
        4.667100882161103,
        4.667120702222255,
        4.667140522283408,
        4.667160342344561,
        4.667180162405713,
        4.667199982466865,
        4.667219802528018,
        4.667239622589171,
        4.667259442650324,
        4.667279262711475,
        4.667299082772628,
        4.66731890283378,
        4.667338722894932,
        4.6673585429560855,
        4.667378363017239,
        4.66739818307839,
        4.6674180031395425,
        4.667437823200695,
        4.667457643261848,
        4.667477463323,
        4.667497283384153,
        4.667517103445305,
        4.667536923506457,
        4.6675567435676095,
        4.667576563628763,
        4.667596383689915,
        4.667616203751067,
        4.66763602381222,
        4.667655843873372,
        4.667675663934525,
        4.6676954839956775,
        4.667715304056829,
        4.667735124117982,
        4.667754944179134,
        4.667774764240287,
        4.66779458430144,
        4.667814404362592,
        4.667834224423744,
        4.667854044484897,
        4.667873864546049,
        4.667893684607201,
        4.667913504668355,
        4.667933324729506,
        4.667953144790658,
        4.667972964851812,
        4.667992784912964,
        4.668012604974117,
        4.668032425035269,
        4.668052245096421,
        4.668072065157573,
        4.668091885218726,
        4.668111705279879,
        4.668131525341032,
        4.668151345402183,
        4.6681711654633355,
        4.668190985524488,
        4.668210805585641,
        4.668230625646794,
        4.668250445707947,
        4.668270265769098,
        4.66829008583025,
        4.668309905891403,
        4.668329725952556,
        4.668349546013709,
        4.66836936607486,
        4.668389186136013,
        4.668409006197165,
        4.668428826258317,
        4.6684486463194705,
        4.668468466380624,
        4.668488286441775,
        4.6685081065029275,
        4.66852792656408,
        4.668547746625232,
        4.668567566686386,
        4.6685873867475385,
        4.66860720680869,
        4.668627026869842,
        4.6686468469309945,
        4.668666666992147,
        4.668686487053301,
        4.668706307114452,
        4.668726127175605,
        4.668745947236757,
        4.668765767297909,
        4.6687855873590625,
        4.668805407420216,
        4.668825227481367,
        4.668845047542519,
        4.668864867603672,
        4.668884687664824,
        4.668904507725977,
        4.6689243277871295,
        4.668944147848282,
        4.668963967909434,
        4.668983787970586,
        4.669003608031739,
        4.669023428092892,
        4.669043248154044,
        4.669063068215197,
        4.669082888276349,
        4.669102708337501,
        4.669122528398654,
        4.669142348459806,
        4.669162168520959,
        4.669181988582111,
        4.669201808643264,
        4.669221628704416,
        4.669241448765569,
        4.6692612688267205,
        4.669281088887874,
        4.669300908949026,
        4.669320729010178,
        4.669340549071332,
        4.669360369132483,
        4.669380189193635,
        4.6694000092547885,
        4.669419829315941,
        4.669439649377093,
        4.669459469438246,
        4.669479289499398,
        4.66949910956055,
        4.669518929621703,
        4.6695387496828555,
        4.669558569744009,
        4.669578389805161,
        4.6695982098663125,
        4.669618029927465,
        4.669637849988618,
        4.66965767004977,
        4.6696774901109235,
        4.669697310172075,
        4.669717130233227,
        4.6697369502943795,
        4.669756770355533,
        4.669776590416685,
        4.669796410477838,
        4.66981623053899,
        4.669836050600142,
        4.669855870661294,
        4.6698756907224475,
        4.669895510783601,
        4.669915330844752,
        4.669935150905904,
        4.669954970967057,
        4.669974791028209,
        4.669994611089362,
        4.670014431150515,
        4.670034251211667,
        4.670054071272819,
        4.670073891333971,
        4.670093711395124,
        4.670113531456278,
        4.670133351517429,
        4.670153171578582,
        4.670172991639734,
        4.670192811700886,
        4.6702126317620385,
        4.670232451823193,
        4.670252271884344,
        4.670272091945496,
        4.670291912006649,
        4.670311732067801,
        4.670331552128953,
        4.670351372190107,
        4.670371192251259,
        4.670391012312411,
        4.670410832373563,
        4.670430652434716,
        4.670450472495869,
        4.670470292557021,
        4.6704901126181735,
        4.670509932679326,
        4.670529752740478,
        4.67054957280163,
        4.670569392862784,
        4.670589212923936,
        4.670609032985088,
        4.6706288530462405,
        4.670648673107393,
        4.670668493168546,
        4.6706883132296975,
        4.670708133290851,
        4.670727953352003,
        4.670747773413155,
        4.670767593474308,
        4.670787413535461,
        4.670807233596612,
        4.670827053657765,
        4.670846873718918,
        4.67086669378007,
        4.670886513841223,
        4.670906333902375,
        4.670926153963527,
        4.67094597402468,
        4.6709657940858325,
        4.670985614146985,
        4.671005434208138,
        4.671025254269289,
        4.671045074330442,
        4.671064894391595,
        4.671084714452747,
        4.6711045345138995,
        4.671124354575052,
        4.671144174636204,
        4.671163994697356,
        4.67118381475851,
        4.671203634819662,
        4.671223454880815,
        4.671243274941967,
        4.671263095003119,
        4.671282915064271,
        4.671302735125424,
        4.671322555186577,
        4.671342375247729,
        4.671362195308881,
        4.671382015370034,
        4.671401835431186,
        4.671619856103863,
        4.671639676165015,
        4.671659496226169,
        4.671679316287321,
        4.671699136348473,
        4.6717189564096255,
        4.671738776470778,
        4.67175859653193,
        4.671778416593084,
        4.671798236654236,
        4.671818056715388,
        4.67183787677654,
        4.671857696837693,
        4.671877516898845,
        4.671897336959998,
        4.67191715702115,
        4.671936977082303,
        4.671956797143455,
        4.671976617204607,
        4.6719964372657605,
        4.672016257326913,
        4.672036077388065,
        4.6720558974492175,
        4.67207571751037,
        4.672095537571522,
        4.672115357632674,
        4.672135177693828,
        4.67215499775498,
        4.672174817816132,
        4.6721946378772845,
        4.672214457938438,
        4.672234277999589,
        4.672254098060742,
        4.672273918121895,
        4.672293738183047,
        4.672313558244199,
        4.672333378305352,
        4.672353198366504,
        4.672373018427657,
        4.672392838488809,
        4.672412658549962,
        4.672432478611114,
        4.672452298672266,
        4.672472118733419,
        4.672491938794572,
        4.672511758855724,
        4.672531578916876,
        4.67255139897803,
        4.672571219039181,
        4.672591039100333,
        4.6726108591614866,
        4.672630679222639,
        4.672650499283791,
        4.6726703193449435,
        4.672690139406096,
        4.672709959467248,
        4.672729779528401,
        4.672749599589554,
        4.672769419650707,
        4.672789239711858,
        4.6728090597730105,
        4.672828879834163,
        4.672848699895316,
        4.672868519956468,
        4.672888340017621,
        4.672908160078773,
        4.672927980139925,
        4.672947800201078,
        4.672967620262231,
        4.672987440323383,
        4.673007260384535,
        4.673027080445688,
        4.67304690050684,
        4.673066720567992,
        4.6730865406291455,
        4.673106360690298,
        4.67312618075145,
        4.6731460008126025,
        4.673165820873755,
        4.673185640934907,
        4.67320546099606,
        4.673225281057213,
        4.673245101118365,
        4.673264921179517,
        4.6732847412406695,
        4.673304561301822,
        4.673324381362976,
        4.673344201424127,
        4.67336402148528,
        4.673383841546432,
        4.673403661607584,
        4.673423481668737,
        4.67344330172989,
        4.673463121791042,
        4.673482941852194,
        4.673502761913347,
        4.673522581974499,
        4.673542402035651,
        4.6735622220968045,
        4.673582042157957,
        4.673601862219109,
        4.673621682280261,
        4.673641502341414,
        4.673661322402566,
        4.673681142463719,
        4.6737009625248715,
        4.673819882891786,
        4.673839702952939,
        4.673859523014091,
        4.673879343075243,
        4.6738991631363955,
        4.673918983197549,
        4.673938803258701,
        4.673958623319853,
        4.673978443381006,
        4.673998263442158,
        4.67401808350331,
        4.6740379035644635,
        4.674057723625616,
        4.674077543686768,
        4.67409736374792,
        4.674117183809073,
        4.674137003870225,
        4.674156823931378,
        4.6741766439925305,
        4.674196464053683,
        4.674216284114835,
        4.6742361041759874,
        4.67425592423714,
        4.674275744298293,
        4.674295564359445,
        4.674315384420597,
        4.67433520448175,
        4.674355024542902,
        4.6743748446040545,
        4.674394664665208,
        4.67441448472636,
        4.674434304787512,
        4.674454124848665,
        4.674473944909817,
        4.674493764970969,
        4.674513585032122,
        4.674533405093275,
        4.674553225154427,
        4.674573045215579,
        4.674592865276732,
        4.674612685337884,
        4.674632505399037,
        4.6746523254601895,
        4.674672145521342,
        4.674691965582494,
        4.674711785643646,
        4.674731605704799,
        4.674751425765952,
        4.674771245827104,
        4.6747910658882565,
        4.674810885949409,
        4.674830706010561,
        4.6748505260717135,
        4.674870346132866,
        4.674890166194019,
        4.674909986255171,
        4.674929806316324,
        4.674949626377476,
        4.674969446438628,
        4.674989266499781,
        4.675009086560934,
        4.675028906622086,
        4.675048726683238,
        4.675068546744391,
        4.675088366805542,
        4.675108186866696,
        4.6751280069278485,
        4.675147826989001,
        4.675167647050153,
        4.675187467111305,
        4.675207287172458,
        4.675227107233611,
        4.675246927294763,
        4.6752667473559155,
        4.675286567417068,
        4.675306387478219,
        4.6753262075393724,
        4.675346027600526,
        4.675365847661678,
        4.67538566772283,
        4.675405487783983,
        4.675425307845135,
        4.675445127906287,
        4.67546494796744,
        4.675484768028593,
        4.675504588089745,
        4.675524408150897,
        4.67554422821205,
        4.675564048273202,
        4.675583868334355,
        4.675603688395507,
        4.67562350845666,
        4.675643328517811,
        4.675663148578964,
        4.675682968640117,
        4.67570278870127,
        4.675722608762422,
        4.6757424288235745,
        4.675762248884727,
        4.675782068945879,
        4.675801889007031,
        4.675821709068185,
        4.675841529129337,
        4.675861349190488,
        4.6758811692516415,
        4.675900989312794,
        4.675920809373946,
        4.675940629435099,
        4.675960449496252,
        4.675980269557404,
        4.676000089618556,
        4.676019909679709,
        4.676039729740861,
        4.676059549802014,
        4.6760793698631655,
        4.676099189924319,
        4.676119009985471,
        4.676138830046623,
        4.676158650107776,
        4.676178470168929,
        4.67619829023008,
        4.6762181102912335,
        4.676237930352386,
        4.676257750413538,
        4.67627757047469,
        4.676297390535844,
        4.676317210596996,
        4.676337030658148,
        4.6763568507193005,
        4.676376670780453,
        4.676396490841605,
        4.6764163109027574,
        4.676436130963911,
        4.676455951025063,
        4.676475771086215,
        4.676495591147368,
        4.67651541120852,
        4.676535231269673,
        4.676555051330825,
        4.676574871391978,
        4.67659469145313,
        4.676614511514282,
        4.676634331575434,
        4.676654151636588,
        4.67667397169774,
        4.676693791758892,
        4.676713611820045,
        4.676733431881197,
        4.676753251942349,
        4.676773072003503,
        4.676792892064655,
        4.676812712125807,
        4.6768325321869595,
        4.676852352248111,
        4.676872172309264,
        4.676891992370417,
        4.67691181243157,
        4.676931632492722,
        4.676951452553874,
        4.676971272615026,
        4.676991092676179,
        4.677010912737332,
        4.677030732798484,
        4.677050552859637,
        4.677070372920788,
        4.677090192981941,
        4.677110013043094,
        4.677129833104247,
        4.677149653165399,
        4.677169473226551,
        4.677189293287703,
        4.677209113348856,
        4.677228933410008,
        4.6772487534711615,
        4.677268573532314,
        4.677288393593465,
        4.6773082136546185,
        4.677328033715771,
        4.677347853776923,
        4.677367673838076,
        4.677387493899229,
        4.67740731396038,
        4.677427134021533,
        4.6774469540826855,
        4.677466774143838,
        4.677486594204991,
        4.677506414266143,
        4.677526234327295,
        4.677546054388448,
        4.6775658744496,
        4.677585694510753,
        4.677605514571906,
        4.677625334633057,
        4.67764515469421,
        4.677664974755363,
        4.677684794816515,
        4.677704614877667,
        4.6777244349388205,
        4.677744254999972,
        4.677764075061125,
        4.677783895122277,
        4.67780371518343,
        4.677823535244582,
        4.677843355305734,
        4.677863175366888,
        4.67788299542804,
        4.677902815489192,
        4.6779226355503445,
        4.677942455611498,
        4.677962275672649,
        4.677982095733802,
        4.678001915794955,
        4.678021735856107,
        4.678041555917259,
        4.678061375978411,
        4.678081196039564,
        4.678101016100717,
        4.678120836161869,
        4.678140656223022,
        4.678160476284174,
        4.678180296345326,
        4.6782001164064795,
        4.678219936467632,
        4.678239756528784,
        4.678259576589936,
        4.678279396651088,
        4.67829921671224,
        4.678319036773394,
        4.6783388568345465,
        4.678358676895699,
        4.678378496956851,
        4.678398317018003,
        4.678418137079157,
        4.678437957140309,
        4.678457777201461,
        4.678477597262614,
        4.678497417323766,
        4.678517237384917,
        4.6785370574460705,
        4.678556877507224,
        4.678576697568376,
        4.678596517629528,
        4.67861633769068,
        4.678636157751833,
        4.678655977812986,
        4.6786757978741385,
        4.678695617935291,
        4.678715437996443,
        4.6787352580575945,
        4.678755078118748,
        4.678774898179901,
        4.678794718241053,
        4.6788145383022055,
        4.678834358363357,
        4.678854178424509,
        4.678873998485662,
        4.678893818546816,
        4.678913638607968,
        4.67893345866912,
        4.678953278730272,
        4.678973098791425,
        4.678992918852577,
        4.67901273891373,
        4.679032558974883,
        4.679052379036034,
        4.679072199097186,
        4.67909201915834,
        4.679111839219492,
        4.679131659280645,
        4.679151479341797,
        4.679171299402949,
        4.679191119464102,
        4.679210939525254,
        4.679230759586407,
        4.67925057964756,
        4.679270399708712,
        4.679290219769864,
        4.679310039831017,
        4.679329859892169,
        4.679349679953321,
        4.679369500014475,
        4.679389320075626,
        4.679409140136778,
        4.6794289601979315,
        4.679448780259084,
        4.679468600320236,
        4.679488420381389,
        4.679508240442541,
        4.679528060503694,
        4.679547880564846,
        4.679567700625999,
        4.679587520687151,
        4.679607340748303,
        4.6796271608094555,
        4.679646980870609,
        4.679666800931761,
        4.679686620992913,
        4.679706441054066,
        4.679726261115218,
        4.679746081176371,
        4.6797659012375235,
        4.679785721298676,
        4.679805541359828,
        4.6798253614209795,
        4.679845181482133,
        4.679865001543286,
        4.679884821604438,
        4.6799046416655905,
        4.679924461726743,
        4.679944281787894,
        4.679964101849048,
        4.679983921910201,
        4.680003741971353,
        4.680023562032505,
        4.680043382093657,
        4.680063202154809,
        4.680083022215963,
        4.680102842277115,
        4.680122662338268,
        4.68014248239942,
        4.680162302460571,
        4.680182122521724,
        4.680201942582878,
        4.68022176264403,
        4.680241582705182,
        4.680261402766334,
        4.680281222827486,
        4.680301042888639,
        4.6803208629497925,
        4.680340683010945,
        4.680360503072097,
        4.680380323133249,
        4.680400143194401,
        4.680419963255554,
        4.680439783316707,
        4.68045960337786,
        4.680479423439012,
        4.680499243500163,
        4.6805190635613165,
        4.680538883622469,
        4.680558703683622,
        4.680578523744774,
        4.680598343805926,
        4.680618163867078,
        4.680637983928231,
        4.680657803989384,
        4.680677624050537,
        4.680697444111689,
        4.6807172641728405,
        4.680737084233993,
        4.680756904295146,
        4.680776724356298,
        4.6807965444174515,
        4.680816364478603,
        4.680836184539755,
        4.6808560046009084,
        4.680875824662061,
        4.681074025273586,
        4.681093845334738,
        4.68111366539589,
        4.6811334854570426,
        4.681153305518195,
        4.681173125579347,
        4.6811929456405,
        4.681212765701653,
        4.681232585762805,
        4.681252405823956,
        4.68127222588511,
        4.681292045946263,
        4.681311866007415,
        4.681331686068567,
        4.68135150612972,
        4.681371326190871,
        4.681391146252024,
        4.6814109663131775,
        4.68143078637433,
        4.681450606435482,
        4.6814704264966345,
        4.681490246557786,
        4.681510066618939,
        4.681529886680092,
        4.681549706741245,
        4.681569526802397,
        4.681589346863548,
        4.681609166924701,
        4.681628986985855,
        4.681648807047007,
        4.681668627108159,
        4.681688447169312,
        4.681708267230463,
        4.681728087291615,
        4.6817479073527695,
        4.681767727413922,
        4.681787547475074,
        4.6818073675362255,
        4.681827187597378,
        4.681847007658531,
        4.681866827719684,
        4.6818866477808365,
        4.681906467841989,
        4.68192628790314,
        4.681946107964293,
        4.681965928025446,
        4.681985748086599,
        4.682005568147751,
        4.682025388208903,
        4.682045208270055,
        4.682065028331207,
        4.6820848483923605,
        4.682104668453514,
        4.682124488514666,
        4.682144308575817,
        4.68216412863697,
        4.682183948698123,
        4.682342509187343,
        4.682362329248495,
        4.682382149309647,
        4.6824019693708,
        4.682421789431952,
        4.682441609493105,
        4.682461429554258,
        4.682481249615409,
        4.682501069676562,
        4.682520889737715,
        4.682540709798867,
        4.6825605298600195,
        4.682580349921172,
        4.682600169982324,
        4.682619990043477,
        4.68263981010463,
        4.682659630165782,
        4.682679450226934,
        4.6826992702880865,
        4.682719090349239,
        4.682738910410392,
        4.682758730471544,
        4.682778550532697,
        4.682798370593848,
        4.682818190655001,
        4.682838010716154,
        4.682857830777307,
        4.682877650838459,
        4.682897470899611,
        4.682917290960763,
        4.682937111021916,
        4.682956931083069,
        4.6829767511442215,
        4.682996571205374,
        4.683016391266525,
        4.683036211327678,
        4.683056031388831,
        4.683075851449984,
        4.683095671511136,
        4.683115491572289,
        4.68313531163344,
        4.683155131694592,
        4.683174951755746,
        4.683194771816899,
        4.683214591878051,
        4.683234411939202,
        4.683254232000355,
        4.683274052061507,
        4.683293872122661,
        4.683313692183813,
        4.683333512244966,
        4.683353332306117,
        4.6833731523672695,
        4.683392972428422,
        4.683412792489576,
        4.683432612550728,
        4.6834524326118805,
        4.683472252673032,
        4.683492072734184,
        4.683511892795337,
        4.683531712856491,
        4.683551532917643,
        4.683571352978794,
        4.683591173039947,
        4.683610993101099,
        4.683630813162252,
        4.683650633223405,
        4.683670453284558,
        4.683690273345709,
        4.683710093406861,
        4.683729913468015,
        4.683749733529167,
        4.68376955359032,
        4.6837893736514715,
        4.683809193712624,
        4.683829013773776,
        4.683848833834929,
        4.683868653896082,
        4.683888473957235,
        4.683908294018386,
        4.683928114079539,
        4.683947934140691,
        4.683967754201844,
        4.683987574262996,
        4.684007394324149,
        4.684027214385301,
        4.684047034446453,
        4.6840668545076065,
        4.684086674568759,
        4.684106494629911,
        4.684126314691063,
        4.684146134752216,
        4.684165954813368,
        4.684185774874521,
        4.684205594935674,
        4.684225414996825,
        4.684245235057978,
        4.6842650551191305,
        4.684284875180284,
        4.684304695241436,
        4.684324515302588,
        4.68434433536374,
        4.684364155424893,
        4.684383975486045,
        4.684403795547198,
        4.684423615608351,
        4.684443435669503,
        4.6844632557306545,
        4.684483075791808,
        4.684502895852961,
        4.684522715914113,
        4.6845425359752655,
        4.684562356036417,
        4.684582176097569,
        4.684601996158722,
        4.684621816219876,
        4.684641636281028,
        4.68466145634218,
        4.684681276403332,
        4.684701096464484,
        4.684720916525637,
        4.68474073658679,
        4.684760556647943,
        4.684780376709094,
        4.684800196770246,
        4.684820016831399,
        4.684839836892553,
        4.684859656953705,
        4.684879477014857,
        4.684899297076009,
        4.684919117137161,
        4.6849389371983134,
        4.6849587572594675,
        4.68497857732062,
        4.684998397381771,
        4.685018217442924,
        4.685038037504076,
        4.685057857565229,
        4.685077677626382,
        4.685097497687535,
        4.685117317748686,
        4.685137137809838,
        4.685156957870991,
        4.685176777932144,
        4.685196597993297,
        4.685216418054449,
        4.685236238115601,
        4.685256058176753,
        4.685275878237905,
        4.685295698299059,
        4.685315518360212,
        4.685335338421363,
        4.6853551584825155,
        4.685374978543668,
        4.685394798604821,
        4.685414618665973,
        4.6854344387271265,
        4.685454258788278,
        4.68547407884943,
        4.6854938989105825,
        4.685513718971736,
        4.685533539032888,
        4.68555335909404,
        4.685573179155193,
        4.685592999216345,
        4.685612819277498,
        4.6856326393386505,
        4.685652459399803,
        4.685672279460955,
        4.685692099522107,
        4.68571191958326,
        4.685731739644413,
        4.685751559705565,
        4.685771379766717,
        4.68579119982787,
        4.685811019889022,
        4.685830839950175,
        4.685850660011328,
        4.68587048007248,
        4.685890300133631,
        4.685910120194785,
        4.685929940255937,
        4.68594976031709,
        4.685969580378242,
        4.685989400439394,
        4.686009220500546,
        4.686029040561699,
        4.686048860622852,
        4.686068680684005,
        4.686088500745157,
        4.686108320806309,
        4.686128140867461,
        4.686147960928614,
        4.686167780989767,
        4.68618760105092,
        4.686207421112071,
        4.686227241173223,
        4.686247061234376,
        4.686266881295529,
        4.686286701356682,
        4.686306521417834,
        4.686326341478986,
        4.686346161540138,
        4.68636598160129,
        4.6863858016624445,
        4.686405621723597,
        4.686425441784749,
        4.6864452618459005,
        4.686465081907053,
        4.686484901968205,
        4.686504722029359,
        4.6865245420905115,
        4.686544362151663,
        4.686564182212815,
        4.6865840022739675,
        4.68660382233512,
        4.686623642396274,
        4.686643462457426,
        4.686663282518578,
        4.68668310257973,
        4.686702922640882,
        4.6867227427020355,
        4.686742562763189,
        4.68676238282434,
        4.686782202885492,
        4.686802022946645,
        4.686821843007797,
        4.68684166306895,
        4.686861483130103,
        4.686881303191255,
        4.686901123252407,
        4.6869209433135595,
        4.686940763374713,
        4.686960583435865,
        4.686980403497017,
        4.68700022355817,
        4.687020043619322,
        4.687039863680474,
        4.687059683741627,
        4.68707950380278,
        4.687099323863932,
        4.687119143925084,
        4.687138963986237,
        4.68715878404739,
        4.687178604108542,
        4.687198424169694,
        4.687218244230847,
        4.687238064291999,
        4.687257884353151,
        4.687277704414305,
        4.6876146454538965,
        4.687634465515049,
        4.6876542855762,
        4.6876741056373525,
        4.687693925698506,
        4.687713745759659,
        4.687733565820811,
        4.687753385881963,
        4.687773205943115,
        4.687793026004267,
        4.6878128460654205,
        4.687832666126574,
        4.687852486187726,
        4.687872306248877,
        4.68789212631003,
        4.687911946371182,
        4.687931766432335,
        4.687951586493488,
        4.68797140655464,
        4.687991226615792,
        4.6880110466769445,
        4.688030866738097,
        4.688050686799251,
        4.688070506860403,
        4.688090326921555,
        4.688110146982707,
        4.688129967043859,
        4.6881497871050115,
        4.688169607166166,
        4.688189427227318,
        4.688209247288469,
        4.688229067349622,
        4.688248887410774,
        4.688268707471927,
        4.68828852753308,
        4.688308347594232,
        4.688328167655384,
        4.688347987716536,
        4.688367807777689,
        4.688387627838842,
        4.688407447899995,
        4.6884272679611465,
        4.688447088022299,
        4.688466908083451,
        4.688486728144603,
        4.688506548205757,
        4.688526368266909,
        4.688546188328061,
        4.688566008389214,
        4.688585828450366,
        4.688605648511519,
        4.688625468572671,
        4.688645288633824,
        4.688665108694976,
        4.688684928756128,
        4.688704748817281,
        4.688724568878434,
        4.688744388939585,
        4.688764209000738,
        4.688784029061891,
        4.688803849123043,
        4.688823669184196,
        4.6888434892453486,
        4.6888633093065,
        4.688883129367653,
        4.6889029494288055,
        4.688922769489958,
        4.688942589551111,
        4.688962409612262,
        4.688982229673415,
        4.689002049734568,
        4.68902186979572,
        4.689041689856873,
        4.689061509918026,
        4.689081329979177,
        4.68910115004033,
        4.689120970101483,
        4.689140790162635,
        4.689160610223788,
        4.68918043028494,
        4.689200250346092,
        4.689220070407244,
        4.689239890468397,
        4.68925971052955,
        4.689279530590703,
        4.689299350651854,
        4.689319170713007,
        4.68933899077416,
        4.689358810835312,
        4.689378630896465,
        4.689398450957618,
        4.689418271018769,
        4.689438091079921,
        4.689457911141074,
        4.689477731202227,
        4.68949755126338,
        4.6895173713245315,
        4.689537191385684,
        4.689557011446836,
        4.689576831507989,
        4.6895966515691425,
        4.689616471630295,
        4.689636291691446,
        4.6896561117525986,
        4.689675931813751,
        4.689695751874904,
        4.689715571936057,
        4.689735391997209,
        4.689755212058361,
        4.689775032119513,
        4.689794852180666,
        4.689814672241819,
        4.689834492302972,
        4.689854312364123,
        4.689874132425276,
        4.689893952486428,
        4.68991377254758,
        4.689933592608734,
        4.689953412669886,
        4.689973232731038,
        4.6899930527921905,
        4.690012872853343,
        4.690032692914495,
        4.690052512975649,
        4.690072333036801,
        4.690092153097953,
        4.690111973159105,
        4.6901317932202575,
        4.690151613281411,
        4.690171433342564,
        4.690191253403715,
        4.690211073464868,
        4.69023089352602,
        4.690250713587172,
        4.6902705336483255,
        4.690290353709478,
        4.69031017377063,
        4.690329993831782,
        4.690349813892935,
        4.690369633954088,
        4.69038945401524,
        4.6904092740763925,
        4.690429094137545,
        4.690448914198697,
        4.6904687342598494,
        4.690488554321003,
        4.690508374382154,
        4.690528194443307,
        4.69054801450446,
        4.690567834565612,
        4.690587654626764,
        4.690607474687917,
        4.690627294749069,
        4.690647114810222,
        4.690666934871374,
        4.690686754932527,
        4.69070657499368,
        4.690726395054831,
        4.6907462151159836,
        4.690766035177137,
        4.690964235788661,
        4.690984055849813,
        4.691003875910966,
        4.6910236959721185,
        4.691043516033272,
        4.691063336094423,
        4.6910831561555755,
        4.691102976216728,
        4.691122796277881,
        4.691142616339033,
        4.6911624364001865,
        4.691182256461338,
        4.69120207652249,
        4.6912218965836425,
        4.691241716644796,
        4.691261536705949,
        4.6912813567671,
        4.691301176828253,
        4.691320996889405,
        4.691340816950557,
        4.6913606370117105,
        4.691380457072864,
        4.691400277134015,
        4.691420097195167,
        4.69143991725632,
        4.691459737317472,
        4.691479557378626,
        4.6914993774397775,
        4.69151919750093,
        4.691539017562082,
        4.6915588376232344,
        4.691578657684387,
        4.691598477745541,
        4.691618297806692,
        4.691638117867845,
        4.691657937928997,
        4.691677757990149,
        4.691697578051302,
        4.691717398112455,
        4.691737218173607,
        4.691757038234759,
        4.691776858295912,
        4.691796678357064,
        4.691816498418217,
        4.691836318479369,
        4.691856138540522,
        4.691875958601674,
        4.691895778662826,
        4.691915598723979,
        4.691935418785131,
        4.691955238846284,
        4.6919750589074365,
        4.691994878968589,
        4.692014699029741,
        4.692034519090894,
        4.692054339152046,
        4.692074159213199,
        4.692093979274351,
        4.6921137993355035,
        4.692133619396656,
        4.692153439457808,
        4.6921732595189605,
        4.692193079580114,
        4.692212899641266,
        4.692232719702418,
        4.6922525397635715,
        4.692272359824723,
        4.692292179885875,
        4.692311999947028,
        4.692331820008181,
        4.692351640069333,
        4.692371460130486,
        4.692391280191638,
        4.69241110025279,
        4.692430920313943,
        4.6924507403750955,
        4.692470560436248,
        4.6924903804974,
        4.692510200558552,
        4.692530020619705,
        4.692549840680858,
        4.69256966074201,
        4.692589480803163,
        4.692609300864315,
        4.692629120925467,
        4.692648940986619,
        4.692668761047773,
        4.692688581108925,
        4.692708401170077,
        4.69272822123123,
        4.692748041292382,
        4.692767861353534,
        4.692787681414687,
        4.692807501475841,
        4.692827321536992,
        4.692847141598144,
        4.692866961659297,
        4.692886781720449,
        4.692906601781602,
        4.692926421842754,
        4.692946241903907,
        4.692966061965059,
        4.692985882026211,
        4.693005702087364,
        4.693025522148517,
        4.693045342209669,
        4.6930651622708215,
        4.693084982331974,
        4.693104802393126,
        4.693124622454278,
        4.6931444425154325,
        4.693164262576584,
        4.693184082637736,
        4.6932039026988885,
        4.693223722760041,
        4.693243542821193,
        4.693263362882346,
        4.693283182943499,
        4.693303003004651,
        4.693322823065803,
        4.693342643126956,
        4.693362463188109,
        4.693382283249261,
        4.693402103310413,
        4.693421923371566,
        4.693441743432718,
        4.69346156349387,
        4.693481383555023,
        4.693501203616176,
        4.693521023677328,
        4.6935408437384805,
        4.693560663799633,
        4.693580483860786,
        4.693600303921937,
        4.693620123983091,
        4.693639944044243,
        4.693659764105395,
        4.6936795841665475,
        4.6936994042277,
        4.693719224288852,
        4.693739044350005,
        4.693758864411158,
        4.69377868447231,
        4.693798504533462,
        4.693818324594615,
        4.693838144655767,
        4.69385796471692,
        4.693877784778072,
        4.693897604839225,
        4.693917424900377,
        4.693937244961529,
        4.693957065022682,
        4.693976885083835,
        4.693996705144987,
        4.694016525206139,
        4.694036345267292,
        4.694056165328444,
        4.694075985389596,
        4.69409580545075,
        4.694115625511902,
        4.694135445573055,
        4.6941552656342065,
        4.694175085695359,
        4.694194905756511,
        4.694214725817664,
        4.694234545878817,
        4.694254365939969,
        4.694274186001121,
        4.6942940060622735,
        4.694313826123426,
        4.694333646184579,
        4.694353466245731,
        4.694373286306884,
        4.694393106368036,
        4.694412926429188,
        4.694432746490341,
        4.694452566551494,
        4.694472386612646,
        4.694492206673798,
        4.694512026734951,
        4.694531846796103,
        4.694551666857255,
        4.6945714869184085,
        4.694591306979561,
        4.694611127040713,
        4.6946309471018655,
        4.694650767163018,
        4.69467058722417,
        4.694690407285323,
        4.694710227346476,
        4.694730047407628,
        4.69474986746878,
        4.6947696875299325,
        4.694789507591085,
        4.694809327652238,
        4.69482914771339,
        4.694848967774543,
        4.694868787835695,
        4.694888607896847,
        4.694908427958,
        4.694928248019153,
        4.694948068080305,
        4.694967888141457,
        4.69498770820261,
        4.695007528263762,
        4.695027348324914,
        4.6950471683860675,
        4.69506698844722,
        4.695086808508372,
        4.695106628569524,
        4.695126448630676,
        4.695146268691829,
        4.695166088752982,
        4.695265189058744,
        4.695285009119897,
        4.695304829181049,
        4.695324649242202,
        4.695344469303354,
        4.695364289364506,
        4.6953841094256585,
        4.695403929486812,
        4.695423749547964,
        4.695443569609116,
        4.695463389670269,
        4.695483209731421,
        4.695503029792573,
        4.6955228498537265,
        4.695542669914879,
        4.695562489976031,
        4.695582310037183,
        4.695602130098336,
        4.695621950159488,
        4.695641770220641,
        4.6956615902817935,
        4.695681410342945,
        4.695701230404098,
        4.6957210504652505,
        4.695740870526403,
        4.695760690587556,
        4.695780510648708,
        4.695800330709861,
        4.695820150771013,
        4.695839970832165,
        4.6958597908933175,
        4.695879610954471,
        4.695899431015622,
        4.695919251076775,
        4.695939071137928,
        4.69595889119908,
        4.695978711260232,
        4.6959985313213854,
        4.696018351382538,
        4.69603817144369,
        4.696057991504842,
        4.696077811565995,
        4.696097631627147,
        4.6961174516883,
        4.6961372717494525,
        4.696157091810605,
        4.696176911871757,
        4.696196731932909,
        4.696216551994062,
        4.696236372055215,
        4.696256192116367,
        4.6962760121775196,
        4.696295832238672,
        4.696315652299824,
        4.6963354723609765,
        4.69635529242213,
        4.696375112483282,
        4.696394932544434,
        4.696414752605587,
        4.696434572666739,
        4.69645439272789,
        4.696474212789044,
        4.696494032850197,
        4.696513852911349,
        4.696533672972501,
        4.696553493033654,
        4.696573313094806,
        4.696593133155959,
        4.6966129532171115,
        4.696632773278264,
        4.696652593339416,
        4.6966724134005675,
        4.696692233461721,
        4.696712053522874,
        4.696731873584026,
        4.6967516936451785,
        4.696771513706331,
        4.696791333767483,
        4.6968111538286355,
        4.696830973889789,
        4.696850793950941,
        4.696870614012093,
        4.696890434073245,
        4.696910254134398,
        4.69693007419555,
        4.696949894256703,
        4.696969714317856,
        4.696989534379008,
        4.697009354440159,
        4.697029174501313,
        4.697048994562465,
        4.697068814623618,
        4.6970886346847704,
        4.697108454745923,
        4.697128274807075,
        4.697148094868227,
        4.69716791492938,
        4.697187734990533,
        4.697207555051685,
        4.697227375112837,
        4.69724719517399,
        4.697267015235142,
        4.697286835296294,
        4.697306655357448,
        4.6973264754186,
        4.697346295479752,
        4.6973661155409046,
        4.697385935602057,
        4.697405755663209,
        4.697425575724362,
        4.697445395785514,
        4.697465215846667,
        4.697485035907819,
        4.697504855968972,
        4.697524676030124,
        4.697544496091277,
        4.6975643161524285,
        4.697584136213582,
        4.697603956274734,
        4.697623776335886,
        4.697643596397039,
        4.697663416458191,
        4.697683236519344,
        4.6977030565804965,
        4.697722876641649,
        4.697742696702801,
        4.697762516763953,
        4.697782336825106,
        4.697802156886259,
        4.697821976947411,
        4.6978417970085635,
        4.697861617069716,
        4.697881437130867,
        4.697901257192021,
        4.697921077253174,
        4.697940897314326,
        4.697960717375478,
        4.697980537436631,
        4.698000357497782,
        4.698020177558936,
        4.698039997620088,
        4.698059817681241,
        4.698079637742393,
        4.698099457803544,
        4.698119277864698,
        4.698139097925851,
        4.698158917987003,
        4.6981787380481554,
        4.698198558109308,
        4.698218378170459,
        4.698238198231612,
        4.698258018292766,
        4.698277838353918,
        4.69829765841507,
        4.6983174784762225,
        4.698337298537374,
        4.698357118598527,
        4.69837693865968,
        4.698396758720833,
        4.698416578781985,
        4.698436398843136,
        4.6984562189042895,
        4.698476038965442,
        4.698495859026595,
        4.698515679087747,
        4.6985354991489,
        4.698555319210051,
        4.698575139271204,
        4.698594959332357,
        4.69861477939351,
        4.698634599454662,
        4.6986544195158135,
        4.698674239576967,
        4.698694059638119,
        4.698713879699271,
        4.6987336997604245,
        4.698753519821577,
        4.698773339882728,
        4.6987931599438815,
        4.698812980005034,
        4.698832800066186,
        4.698852620127339,
        4.698872440188491,
        4.698892260249643,
        4.698912080310796,
        4.6989319003719485,
        4.698951720433101,
        4.698971540494254,
        4.6989913605554054,
        4.699011180616559,
        4.699031000677711,
        4.699050820738863,
        4.699070640800016,
        4.699090460861169,
        4.69911028092232,
        4.699130100983473,
        4.699149921044626,
        4.699169741105778,
        4.69918956116693,
        4.699209381228083,
        4.699229201289236,
        4.699249021350388,
        4.69926884141154,
        4.699288661472693,
        4.699308481533845,
        4.699328301594997,
        4.699348121656151,
        4.699367941717303,
        4.699387761778455,
        4.6994075818396075,
        4.699427401900759,
        4.699447221961913,
        4.699467042023065,
        4.6996850626957425,
        4.699704882756895,
        4.699724702818047,
        4.699744522879199,
        4.699764342940351,
        4.699784163001504,
        4.699803983062657,
        4.6998238031238095,
        4.699843623184962,
        4.699863443246113,
        4.699883263307266,
        4.699903083368419,
        4.699922903429572,
        4.699942723490724,
        4.699962543551877,
        4.699982363613028,
        4.700002183674181,
        4.7000220037353335,
        4.700041823796487,
        4.700061643857639,
        4.700081463918791,
        4.700101283979943,
        4.700121104041096,
        4.700140924102248,
        4.7001607441634015,
        4.700180564224554,
        4.700200384285705,
        4.7002202043468575,
        4.700240024408011,
        4.700259844469164,
        4.700279664530316,
        4.7002994845914685,
        4.70031930465262,
        4.700339124713773,
        4.700358944774925,
        4.700378764836078,
        4.700398584897231,
        4.700418404958382,
        4.700438225019535,
        4.700458045080688,
        4.70047786514184,
        4.700497685202993,
        4.700517505264146,
        4.700537325325297,
        4.70055714538645,
        4.700576965447603,
        4.700596785508755,
        4.700616605569907,
        4.7006364256310595,
        4.700656245692212,
        4.700676065753365,
        4.700695885814517,
        4.70071570587567,
        4.700735525936823,
        4.700755345997974,
        4.7007751660591275,
        4.70079498612028,
        4.700814806181432,
        4.700834626242584,
        4.700854446303736,
        4.700874266364889,
        4.700894086426042,
        4.7009139064871945,
        4.700933726548347,
        4.700953546609499,
        4.7009733666706515,
        4.700993186731804,
        4.701013006792957,
        4.701032826854109,
        4.701052646915262,
        4.701072466976413,
        4.701092287037566,
        4.701112107098719,
        4.701131927159872,
        4.701151747221024,
        4.701171567282176,
        4.701191387343328,
        4.701211207404481,
        4.701231027465634,
        4.7012508475267865,
        4.701270667587939,
        4.701290487649091,
        4.7013103077102425,
        4.701330127771397,
        4.701349947832549,
        4.701369767893701,
        4.7013895879548535,
        4.701409408016005,
        4.701429228077157,
        4.701449048138311,
        4.701468868199464,
        4.701488688260616,
        4.701508508321768,
        4.70152832838292,
        4.701548148444072,
        4.701567968505226,
        4.701587788566378,
        4.701607608627531,
        4.7018058092390556,
        4.701825629300208,
        4.701845449361359,
        4.701865269422512,
        4.701885089483665,
        4.701904909544817,
        4.70192472960597,
        4.701944549667123,
        4.701964369728274,
        4.701984189789426,
        4.7020040098505795,
        4.702023829911732,
        4.702043649972885,
        4.702063470034037,
        4.702083290095189,
        4.702103110156341,
        4.702122930217494,
        4.702142750278647,
        4.7021625703398,
        4.702182390400951,
        4.7022022104621035,
        4.702222030523257,
        4.702241850584409,
        4.702261670645561,
        4.7022814907067145,
        4.702301310767866,
        4.702321130829018,
        4.7023409508901715,
        4.702360770951324,
        4.702380591012476,
        4.702400411073628,
        4.702420231134781,
        4.702440051195934,
        4.702459871257086,
        4.7024796913182385,
        4.702499511379391,
        4.702519331440543,
        4.702539151501695,
        4.702558971562849,
        4.702578791624001,
        4.702598611685153,
        4.702618431746305,
        4.702638251807458,
        4.702658071868611,
        4.702677891929763,
        4.702697711990916,
        4.702717532052068,
        4.702737352113219,
        4.702757172174373,
        4.702776992235526,
        4.702796812296678,
        4.70281663235783,
        4.702836452418982,
        4.702856272480134,
        4.702876092541287,
        4.7028959126024406,
        4.702915732663593,
        4.702935552724745,
        4.702955372785897,
        4.702975192847049,
        4.702995012908203,
        4.703014832969355,
        4.703034653030508,
        4.70305447309166,
        4.703074293152811,
        4.703094113213964,
        4.703113933275118,
        4.70313375333627,
        4.703153573397422,
        4.703173393458574,
        4.703193213519726,
        4.703213033580879,
        4.7032328536420325,
        4.703252673703185,
        4.703272493764337,
        4.7032923138254885,
        4.703312133886641,
        4.703331953947794,
        4.703351774008947,
        4.7033715940700995,
        4.703391414131251,
        4.703411234192403,
        4.703431054253556,
        4.703450874314709,
        4.703470694375862,
        4.703490514437014,
        4.703510334498166,
        4.703530154559318,
        4.703549974620471,
        4.7035697946816235,
        4.703589614742777,
        4.703609434803928,
        4.70362925486508,
        4.703649074926233,
        4.703668894987386,
        4.703688715048538,
        4.7037085351096914,
        4.703728355170843,
        4.703748175231995,
        4.703767995293148,
        4.703787815354301,
        4.703807635415453,
        4.703827455476605,
        4.703847275537758,
        4.70386709559891,
        4.703886915660063,
        4.703906735721215,
        4.703926555782368,
        4.70394637584352,
        4.703966195904672,
        4.7039860159658256,
        4.704005836026978,
        4.70402565608813,
        4.704045476149282,
        4.704065296210435,
        4.704085116271587,
        4.70410493633274,
        4.704124756393893,
        4.704144576455045,
        4.704164396516196,
        4.7041842165773495,
        4.704204036638502,
        4.704223856699655,
        4.704243676760807,
        4.70426349682196,
        4.704283316883111,
        4.704303136944264,
        4.7043229570054175,
        4.70434277706657,
        4.704362597127722,
        4.7043824171888735,
        4.704402237250026,
        4.704422057311179,
        4.704441877372332,
        4.7044616974334845,
        4.704481517494637,
        4.704501337555788,
        4.704521157616941,
        4.704540977678095,
        4.704560797739247,
        4.704580617800399,
        4.704600437861551,
        4.704620257922703,
        4.704640077983855,
        4.704659898045009,
        4.704679718106162,
        4.704699538167314,
        4.704719358228465,
        4.704739178289618,
        4.70475899835077,
        4.704778818411924,
        4.7047986384730764,
        4.704818458534228,
        4.70483827859538,
        4.7048580986565325,
        4.704877918717686,
        4.704897738778839,
        4.704917558839991,
        4.704937378901143,
        4.704957198962295,
        4.704977019023447,
        4.7049968390846,
        4.705016659145754,
        4.705036479206906,
        4.705056299268057,
        4.70507611932921,
        4.705095939390363,
        4.705115759451515,
        4.705135579512668,
        4.70515539957382,
        4.705175219634972,
        4.705195039696124,
        4.705214859757278,
        4.70523467981843,
        4.705254499879583,
        4.7052743199407345,
        4.705294140001887,
        4.70531396006304,
        4.705333780124192,
        4.705353600185345,
        4.705373420246497,
        4.705393240307649,
        4.705413060368802,
        4.705432880429955,
        4.705452700491107,
        4.705472520552259,
        4.705492340613412,
        4.705512160674564,
        4.705531980735716,
        4.7055518007968695,
        4.705571620858022,
        4.705591440919173,
        4.7056112609803264,
        4.705631081041479,
        4.705650901102632,
        4.705670721163784,
        4.705690541224937,
        4.705710361286088,
        4.705730181347241,
        4.7057500014083935,
        4.705769821469547,
        4.705789641530699,
        4.70580946159185,
        4.705829281653003,
        4.705849101714156,
        4.705868921775309,
        4.705888741836461,
        4.705908561897614,
        4.705928381958765,
        4.7059482020199175,
        4.705968022081071,
        4.705987842142224,
        4.706007662203376,
        4.7060274822645285,
        4.70604730232568,
        4.706067122386832,
        4.706086942447985,
        4.706106762509139,
        4.706126582570291,
        4.706146402631442,
        4.706166222692595,
        4.706186042753747,
        4.706205862814901,
        4.706225682876053,
        4.706245502937206,
        4.706265322998357,
        4.706285143059509,
        4.706304963120662,
        4.706324783181816,
        4.706344603242968,
        4.7063644233041195,
        4.706384243365272,
        4.706404063426424,
        4.706423883487577,
        4.7064437035487305,
        4.706463523609883,
        4.706483343671034,
        4.706503163732187,
        4.706522983793339,
        4.706542803854492,
        4.706562623915645,
        4.706582443976797,
        4.706602264037949,
        4.706622084099101,
        4.706641904160254,
        4.706661724221407,
        4.70668154428256,
        4.7067013643437114,
        4.706721184404864,
        4.706741004466016,
        4.706760824527169,
        4.706780644588322,
        4.706800464649474,
        4.706820284710626,
        4.7068401047717785,
        4.706859924832931,
        4.706879744894084,
        4.706899564955236,
        4.706919385016389,
        4.706939205077541,
        4.706959025138693,
        4.706978845199846,
        4.706998665260999,
        4.70701848532215,
        4.707038305383303,
        4.707058125444456,
        4.707077945505608,
        4.707097765566761,
        4.7071175856279135,
        4.707137405689065,
        4.707157225750218,
        4.70717704581137,
        4.707196865872524,
        4.707216685933676,
        4.707236505994828,
        4.70725632605598,
        4.707276146117133,
        4.707295966178285,
        4.707315786239438,
        4.707335606300591,
        4.707355426361742,
        4.707375246422894,
        4.707395066484048,
        4.7074148865452,
        4.707434706606353,
        4.707454526667505,
        4.707474346728657,
        4.707494166789809,
        4.707513986850962,
        4.7075338069121155,
        4.707553626973268,
        4.707573447034419,
        4.707593267095572,
        4.707613087156724,
        4.707632907217877,
        4.70765272727903,
        4.707672547340183,
        4.707692367401334,
        4.707712187462486,
        4.707732007523639,
        4.707751827584793,
        4.707771647645945,
        4.7077914677070964,
        4.707811287768249,
        4.707831107829401,
        4.707850927890553,
        4.7078707479517075,
        4.70789056801286,
        4.707910388074011,
        4.7079302081351635,
        4.707950028196316,
        4.707969848257468,
        4.707989668318622,
        4.7080094883797745,
        4.708029308440926,
        4.708049128502078,
        4.7080689485632305,
        4.708088768624384,
        4.708108588685537,
        4.708128408746688,
        4.708148228807841,
        4.708168048868993,
        4.708187868930145,
        4.7082076889912985,
        4.708227509052452,
        4.708247329113603,
        4.708267149174755,
        4.70854463003089,
        4.708564450092042,
        4.708584270153195,
        4.708604090214347,
        4.7086239102755,
        4.708643730336653,
        4.708663550397805,
        4.708683370458957,
        4.70870319052011,
        4.708723010581262,
        4.708742830642414,
        4.708762650703568,
        4.708782470764719,
        4.708802290825871,
        4.7088221108870245,
        4.708841930948177,
        4.70886175100933,
        4.708881571070482,
        4.708901391131634,
        4.708921211192786,
        4.708941031253939,
        4.708960851315092,
        4.708980671376245,
        4.709000491437397,
        4.7090203114985485,
        4.709040131559701,
        4.709059951620854,
        4.709079771682007,
        4.7090995917431595,
        4.709119411804311,
        4.709139231865463,
        4.7091590519266155,
        4.709178871987769,
        4.709198692048922,
        4.709218512110074,
        4.709238332171226,
        4.709258152232378,
        4.70927797229353,
        4.7092977923546835,
        4.709317612415837,
        4.709337432476988,
        4.70935725253814,
        4.709377072599293,
        4.709396892660445,
        4.709416712721599,
        4.709436532782751,
        4.709456352843903,
        4.709476172905055,
        4.7094959929662075,
        4.70951581302736,
        4.709535633088514,
        4.709555453149665,
        4.709575273210818,
        4.70959509327197,
        4.709614913333122,
        4.709634733394275,
        4.709654553455429,
        4.70967437351658,
        4.709694193577732,
        4.709714013638885,
        4.709733833700037,
        4.70975365376119,
        4.7097734738223425,
        4.709793293883495,
        4.709813113944647,
        4.709832934005799,
        4.709852754066953,
        4.709872574128105,
        4.709892394189257,
        4.7099122142504095,
        4.709932034311562,
        4.709951854372714,
        4.709971674433867,
        4.709991494495019,
        4.710011314556172,
        4.710031134617324,
        4.710050954678477,
        4.710070774739629,
        4.710090594800782,
        4.7101104148619335,
        4.710130234923087,
        4.710150054984239,
        4.710169875045391,
        4.7101896951065445,
        4.710209515167697,
        4.710229335228848,
        4.710249155290001,
        4.710268975351154,
        4.710288795412306,
        4.710308615473459,
        4.710328435534611,
        4.710348255595763,
        4.710368075656916,
        4.7103878957180685,
        4.710407715779222,
        4.710427535840374,
        4.710447355901525,
        4.710467175962678,
        4.710486996023831,
        4.710506816084983,
        4.710526636146136,
        4.710546456207288,
        4.71056627626844,
        4.7105860963295925,
        4.710605916390746,
        4.710625736451898,
        4.710645556513051,
        4.710665376574203,
        4.710685196635355,
        4.710705016696507,
        4.71072483675766,
        4.710744656818814,
        4.710764476879965,
        4.710784296941117,
        4.71080411700227,
        4.710823937063422,
        4.710843757124575,
        4.710863577185728,
        4.71088339724688,
        4.710903217308032,
        4.710923037369184,
        4.710942857430338,
        4.710962677491491,
        4.710982497552643,
        4.7110023176137945,
        4.711022137674947,
        4.711041957736099,
        4.711061777797251,
        4.7110815978584055,
        4.711101417919557,
        4.711121237980709,
        4.711141058041862,
        4.711160878103014,
        4.711180698164167,
        4.71120051822532,
        4.711220338286472,
        4.711240158347624,
        4.711259978408776,
        4.711279798469929,
        4.711299618531082,
        4.711319438592234,
        4.711339258653386,
        4.711359078714539,
        4.711378898775691,
        4.711398718836843,
        4.711418538897997,
        4.711438358959149,
        4.711458179020301,
        4.7114779990814535,
        4.711497819142606,
        4.711517639203759,
        4.71153745926491,
        4.711557279326064,
        4.711577099387216,
        4.711596919448368,
        4.7116167395095205,
        4.711636559570674,
        4.711656379631826,
        4.711676199692978,
        4.711696019754131,
        4.711715839815283,
        4.711735659876436,
        4.711755479937588,
        4.71177529999874,
        4.711795120059893,
        4.711814940121045,
        4.711834760182198,
        4.711854580243351,
        4.711874400304502,
        4.7118942203656555,
        4.711914040426808,
        4.71193386048796,
        4.7119536805491125,
        4.711973500610266,
        4.711993320671417,
        4.71201314073257,
        4.712032960793723,
        4.712052780854875,
        4.712072600916028,
        4.7120924209771795,
        4.712112241038332,
        4.712132061099485,
        4.712151881160637,
        4.71217170122179,
        4.712191521282943,
        4.712211341344094,
        4.712231161405247,
        4.7122509814664,
        4.712270801527552,
        4.712290621588705,
        4.712310441649857,
        4.712330261711009,
        4.712350081772161,
        4.7123699018333145,
        4.712449182077924,
        4.712469002139076,
        4.712488822200229,
        4.7125086422613816,
        4.712528462322534,
        4.712548282383686,
        4.7125681024448385,
        4.712587922505991,
        4.712607742567144,
        4.712627562628297,
        4.712647382689449,
        4.712667202750601,
        4.712687022811753,
        4.7127068428729055,
        4.712726662934059,
        4.712746482995211,
        4.712766303056363,
        4.712786123117516,
        4.712805943178668,
        4.71282576323982,
        4.712845583300974,
        4.712865403362126,
        4.712885223423278,
        4.71290504348443,
        4.712924863545583,
        4.712944683606735,
        4.712964503667889,
        4.7129843237290405,
        4.713004143790193,
        4.713023963851345,
        4.7130437839124975,
        4.713063603973651,
        4.713083424034803,
        4.713103244095955,
        4.713123064157108,
        4.71314288421826,
        4.713162704279412,
        4.713182524340565,
        4.713202344401718,
        4.71322216446287,
        4.713241984524022,
        4.713261804585175,
        4.713281624646327,
        4.713301444707479,
        4.7133212647686324,
        4.713341084829785,
        4.713360904890937,
        4.713380724952089,
        4.713400545013243,
        4.713420365074394,
        4.713440185135547,
        4.7134600051966995,
        4.713479825257852,
        4.713499645319004,
        4.713519465380156,
        4.713539285441309,
        4.713559105502462,
        4.713578925563614,
        4.7135987456247666,
        4.71361856568592,
        4.713638385747071,
        4.7136582058082235,
        4.713678025869377,
        4.713697845930529,
        4.713717665991681,
        4.713737486052834,
        4.713757306113986,
        4.713777126175138,
        4.713796946236291,
        4.713816766297444,
        4.713836586358596,
        4.713856406419748,
        4.713876226480901,
        4.713896046542053,
        4.713915866603206,
        4.7139356866643585,
        4.713955506725512,
        4.713975326786663,
        4.713995146847815,
        4.714014966908968,
        4.714034786970121,
        4.714054607031273,
        4.7140744270924255,
        4.714094247153578,
        4.71411406721473,
        4.7141338872758825,
        4.714153707337036,
        4.714173527398189,
        4.71419334745934,
        4.714213167520493,
        4.714232987581645,
        4.714252807642797,
        4.71427262770395,
        4.714292447765103,
        4.714312267826255,
        4.714332087887407,
        4.71435190794856,
        4.714371728009712,
        4.714391548070866,
        4.714411368132017,
        4.71443118819317,
        4.714451008254322,
        4.714470828315474,
        4.714490648376627,
        4.71451046843778,
        4.714530288498932,
        4.7145501085600845,
        4.714569928621237,
        4.714589748682389,
        4.714609568743541,
        4.714629388804695,
        4.714649208865847,
        4.714669028926999,
        4.7146888489881515,
        4.714708669049304,
        4.714728489110456,
        4.714748309171609,
        4.714768129232762,
        4.714787949293914,
        4.714807769355066,
        4.714827589416219,
        4.714847409477371,
        4.714867229538524,
        4.714887049599676,
        4.714906869660829,
        4.714926689721981,
        4.714946509783134,
        4.714966329844286,
        4.714986149905439,
        4.715005969966591,
        4.7150257900277435,
        4.715045610088896,
        4.715065430150048,
        4.7150852502112,
        4.715105070272354,
        4.715124890333506,
        4.715144710394658,
        4.7151645304558105,
        4.715243810700421,
        4.715263630761573,
        4.715283450822725,
        4.715303270883878,
        4.71532309094503,
        4.715342911006183,
        4.715362731067335,
        4.715382551128488,
        4.71540237118964,
        4.715422191250792,
        4.715442011311945,
        4.715461831373098,
        4.71548165143425,
        4.715501471495402,
        4.715521291556555,
        4.715541111617707,
        4.715560931678859,
        4.715580751740013,
        4.715600571801165,
        4.715620391862317,
        4.7156402119234695,
        4.715660031984622,
        4.715679852045774,
        4.715699672106927,
        4.71571949216808,
        4.715739312229232,
        4.715759132290384,
        4.7157789523515365,
        4.715798772412689,
        4.715818592473842,
        4.715838412534994,
        4.715858232596147,
        4.715878052657299,
        4.715897872718451,
        4.715917692779604,
        4.715937512840757,
        4.715957332901909,
        4.715977152963061,
        4.715996973024214,
        4.716016793085366,
        4.716036613146518,
        4.7160564332076715,
        4.716076253268824,
        4.716096073329976,
        4.7161158933911285,
        4.716135713452281,
        4.716155533513433,
        4.716175353574586,
        4.716195173635739,
        4.716214993696891,
        4.716234813758043,
        4.7162546338191955,
        4.716274453880348,
        4.716294273941501,
        4.71661139491994,
        4.716631214981092,
        4.716651035042245,
        4.716670855103398,
        4.71669067516455,
        4.716710495225701,
        4.7167303152868545,
        4.716750135348007,
        4.71676995540916,
        4.716789775470312,
        4.716809595531465,
        4.716829415592617,
        4.716849235653769,
        4.7168690557149215,
        4.716888875776075,
        4.716908695837227,
        4.716928515898379,
        4.716948335959532,
        4.716968156020684,
        4.716987976081836,
        4.7170077961429895,
        4.717027616204142,
        4.717047436265293,
        4.717067256326446,
        4.717087076387599,
        4.717106896448751,
        4.717126716509904,
        4.7171465365710565,
        4.717166356632209,
        4.717186176693361,
        4.7172059967545135,
        4.717463657549495,
        4.717483477610648,
        4.717503297671801,
        4.717523117732953,
        4.717542937794105,
        4.717562757855258,
        4.71758257791641,
        4.717602397977563,
        4.7176222180387155,
        4.717642038099868,
        4.71766185816102,
        4.717681678222172,
        4.717701498283324,
        4.717721318344478,
        4.71774113840563,
        4.717760958466783,
        4.717780778527935,
        4.717800598589087,
        4.717820418650239,
        4.717840238711393,
        4.717860058772545,
        4.717879878833697,
        4.71789969889485,
        4.717919518956002,
        4.717939339017154,
        4.717959159078307,
        4.71797897913946,
        4.717998799200612,
        4.718018619261764,
        4.718038439322916,
        4.718058259384069,
        4.718078079445222,
        4.7180978995063745,
        4.718117719567527,
        4.718137539628679,
        4.718157359689831,
        4.7182366399344415,
        4.718256459995593,
        4.718276280056746,
        4.7182961001178985,
        4.718315920179052,
        4.718335740240204,
        4.718355560301356,
        4.718375380362508,
        4.718395200423661,
        4.718415020484813,
        4.718434840545966,
        4.718454660607119,
        4.71847448066827,
        4.718494300729423,
        4.718514120790576,
        4.718533940851728,
        4.718553760912881,
        4.7185735809740335,
        4.718593401035185,
        4.718613221096338,
        4.71863304115749,
        4.718652861218643,
        4.718672681279796,
        4.718692501340947,
        4.7187123214021005,
        4.718732141463253,
        4.718751961524405,
        4.718771781585557,
        4.718791601646711,
        4.718811421707862,
        4.718831241769015,
        4.718851061830168,
        4.71887088189132,
        4.718890701952472,
        4.718910522013625,
        4.718930342074778,
        4.71895016213593,
        4.718969982197082,
        4.718989802258235,
        4.719009622319387,
        4.719029442380539,
        4.719049262441692,
        4.719069082502845,
        4.719088902563997,
        4.719108722625149,
        4.719128542686302,
        4.719148362747454,
        4.719168182808607,
        4.7191880028697595,
        4.719207822930912,
        4.719227642992064,
        4.7192474630532155,
        4.71926728311437,
        4.719287103175522,
        4.719306923236674,
        4.7193267432978265,
        4.719346563358979,
        4.71936638342013,
        4.719386203481284,
        4.719406023542437,
        4.719425843603589,
        4.719445663664741,
        4.719465483725893,
        4.719485303787046,
        4.719505123848199,
        4.719524943909351,
        4.719544763970504,
        4.719564584031656,
        4.719584404092807,
        4.719604224153961,
        4.719624044215114,
        4.719643864276266,
        4.7196636843374185,
        4.71968350439857,
        4.719703324459722,
        4.719723144520875,
        4.719742964582029,
        4.719762784643181,
        4.719782604704333,
        4.719802424765485,
        4.719822244826638,
        4.71984206488779,
        4.719861884948943,
        4.719881705010096,
        4.719901525071248,
        4.719921345132399,
        4.719941165193553,
        4.719960985254705,
        4.719980805315858,
        4.72000062537701,
        4.720020445438162,
        4.720040265499315,
        4.720060085560467,
        4.72007990562162,
        4.720099725682773,
        4.720119545743925,
        4.7201393658050765,
        4.72015918586623,
        4.720179005927382,
        4.720198825988534,
        4.7202186460496875,
        4.720238466110839,
        4.720258286171992,
        4.7202781062331445,
        4.720297926294297,
        4.720317746355449,
        4.720337566416602,
        4.720357386477754,
        4.720377206538907,
        4.720397026600059,
        4.7204168466612115,
        4.720436666722364,
        4.720456486783516,
        4.7204763068446685,
        4.720496126905822,
        4.720515946966974,
        4.720535767028126,
        4.720555587089279,
        4.720575407150431,
        4.720595227211584,
        4.720615047272736,
        4.720634867333889,
        4.720654687395041,
        4.720674507456192,
        4.720694327517346,
        4.720714147578499,
        4.720733967639651,
        4.7207537877008034,
        4.720773607761956,
        4.720793427823107,
        4.720813247884261,
        4.720833067945414,
        4.720852888006566,
        4.720872708067718,
        4.7208925281288705,
        4.720912348190022,
        4.720932168251176,
        4.720951988312328,
        4.720971808373481,
        4.720991628434633,
        4.721011448495784,
        4.721031268556937,
        4.721051088618091,
        4.721070908679243,
        4.721090728740395,
        4.721110548801548,
        4.721130368862699,
        4.721150188923852,
        4.7211700089850055,
        4.721189829046158,
        4.72120964910731,
        4.7212294691684615,
        4.721249289229614,
        4.721269109290767,
        4.72128892935192,
        4.7213087494130725,
        4.721328569474225,
        4.721348389535376,
        4.7213682095965295,
        4.721388029657682,
        4.721407849718835,
        4.721427669779987,
        4.721447489841139,
        4.721467309902291,
        4.721487129963444,
        4.7215069500245965,
        4.72152677008575,
        4.721546590146902,
        4.7215664102080535,
        4.721586230269206,
        4.721606050330359,
        4.721625870391511,
        4.7216456904526645,
        4.721665510513816,
        4.721685330574968,
        4.721705150636121,
        4.721724970697274,
        4.721744790758426,
        4.721764610819579,
        4.721784430880731,
        4.721804250941883,
        4.721824071003036,
        4.7218438910641884,
        4.721863711125342,
        4.721883531186494,
        4.721903351247645,
        4.721923171308799,
        4.721942991369951,
        4.721962811431103,
        4.7219826314922555,
        4.722002451553408,
        4.72202227161456,
        4.722042091675713,
        4.722061911736866,
        4.722081731798018,
        4.72210155185917,
        4.7221213719203226,
        4.722141191981476,
        4.722161012042628,
        4.72218083210378,
        4.722200652164933,
        4.722220472226084,
        4.722240292287237,
        4.7222601123483905,
        4.722279932409543,
        4.722299752470695,
        4.722319572531847,
        4.722339392592999,
        4.722359212654152,
        4.722379032715305,
        4.7223988527764575,
        4.72241867283761,
        4.722438492898761,
        4.722458312959914,
        4.722478133021068,
        4.72249795308222,
        4.722517773143372,
        4.722537593204525,
        4.722557413265676,
        4.722577233326829,
        4.722597053387982,
        4.722616873449135,
        4.722636693510287,
        4.7226565135714385,
        4.722676333632591,
        4.722696153693744,
        4.722715973754897,
        4.7227357938160495,
        4.722755613877202,
        4.722775433938353,
        4.7227952539995055,
        4.72281507406066,
        4.722834894121812,
        4.722854714182964,
        4.7228745342441165,
        4.722894354305268,
        4.72291417436642,
        4.7229339944275734,
        4.722953814488727,
        4.722973634549879,
        4.72299345461103,
        4.723013274672183,
        4.723033094733336,
        4.723052914794489,
        4.723072734855641,
        4.723092554916794,
        4.723112374977945,
        4.723132195039097,
        4.723152015100251,
        4.723171835161404,
        4.723191655222556,
        4.7232114752837075,
        4.72323129534486,
        4.723251115406013,
        4.723270935467165,
        4.723290755528319,
        4.723310575589471,
        4.723330395650622,
        4.723350215711775,
        4.723370035772928,
        4.72338985583408,
        4.723409675895233,
        4.723429495956385,
        4.723449316017537,
        4.72346913607869,
        4.7234889561398425,
        4.723508776200995,
        4.723528596262148,
        4.7235484163232995,
        4.723568236384452,
        4.723588056445605,
        4.723607876506757,
        4.72362769656791,
        4.723647516629063,
        4.723667336690214,
        4.7236871567513665,
        4.72370697681252,
        4.723726796873672,
        4.723746616934824,
        4.723766436995977,
        4.723786257057129,
        4.723806077118282,
        4.7238258971794345,
        4.723845717240587,
        4.723865537301739,
        4.723885357362891,
        4.723905177424044,
        4.723924997485197,
        4.723944817546349,
        4.7239646376075015,
        4.723984457668653,
        4.724004277729806,
        4.724024097790959,
        4.724043917852112,
        4.724063737913264,
        4.724083557974416,
        4.724103378035568,
        4.724123198096721,
        4.724143018157874,
        4.724162838219026,
        4.724182658280179,
        4.72420247834133,
        4.724222298402482,
        4.724242118463636,
        4.724261938524789,
        4.724281758585941,
        4.724301578647093,
        4.724321398708245,
        4.724341218769397,
        4.724361038830551,
        4.724380858891704,
        4.724400678952856,
        4.724420499014007,
        4.72444031907516,
        4.724460139136312,
        4.724479959197466,
        4.724499779258618,
        4.724519599319771,
        4.724539419380922,
        4.724559239442074,
        4.7245790595032275,
        4.724598879564381,
        4.724618699625533,
        4.7246385196866845,
        4.724658339747837,
        4.724678159808989,
        4.724697979870142,
        4.7247177999312955,
        4.724737619992448,
        4.724757440053599,
        4.7247772601147515,
        4.724797080175905,
        4.724816900237057,
        4.72483672029821,
        4.7248565403593625,
        4.724876360420514,
        4.724896180481666,
        4.7249160005428195,
        4.724935820603972,
        4.724955640665125,
        4.724975460726276,
        4.724995280787429,
        4.725015100848581,
        4.725034920909734,
        4.7250547409708865,
        4.72507456103204,
        4.725094381093191,
        4.725114201154343,
        4.725134021215497,
        4.725153841276649,
        4.725173661337801,
        4.725193481398954,
        4.725213301460106,
        4.725233121521258,
        4.725252941582411,
        4.725272761643564,
        4.725292581704716,
        4.725312401765868,
        4.725332221827021,
        4.725352041888174,
        4.725371861949326,
        4.725391682010478,
        4.72541150207163,
        4.725431322132783,
        4.725451142193935,
        4.725470962255089,
        4.725490782316241,
        4.725510602377393,
        4.725530422438545,
        4.725550242499698,
        4.72557006256085,
        4.725589882622003,
        4.725609702683156,
        4.725629522744307,
        4.725649342805459,
        4.7256691628666125,
        4.725688982927766,
        4.725708802988918,
        4.72572862305007,
        4.725748443111222,
        4.725768263172374,
        4.725788083233527,
        4.7258079032946805,
        4.725827723355833,
        4.725847543416985,
        4.7258673634781365,
        4.725887183539289,
        4.725907003600443,
        4.725926823661595,
        4.7259466437227475,
        4.725966463783899,
        4.725986283845051,
        4.726006103906204,
        4.726025923967358,
        4.72604574402851,
        4.726065564089662,
        4.726085384150814,
        4.726105204211966,
        4.726125024273118,
        4.726144844334272,
        4.726164664395425,
        4.726184484456576,
        4.726204304517728,
        4.726224124578881,
        4.726243944640034,
        4.726461965312711,
        4.726481785373863,
        4.726501605435017,
        4.726521425496168,
        4.72654124555732,
        4.726561065618473,
        4.726580885679626,
        4.726600705740778,
        4.726620525801931,
        4.726640345863083,
        4.726660165924235,
        4.726679985985388,
        4.726699806046541,
        4.726719626107693,
        4.726739446168845,
        4.7267592662299975,
        4.72677908629115,
        4.726798906352303,
        4.726818726413455,
        4.726838546474608,
        4.72685836653576,
        4.726878186596912,
        4.726898006658065,
        4.726917826719218,
        4.72693764678037,
        4.7269574668415215,
        4.726977286902675,
        4.726997106963827,
        4.72701692702498,
        4.7270367470861325,
        4.727056567147285,
        4.727076387208436,
        4.7270962072695895,
        4.727116027330742,
        4.727135847391895,
        4.727155667453047,
        4.727175487514199,
        4.727195307575351,
        4.727215127636504,
        4.727234947697657,
        4.72725476775881,
        4.727274587819962,
        4.727294407881113,
        4.727314227942266,
        4.727334048003419,
        4.727353868064572,
        4.7273736881257244,
        4.727393508186876,
        4.727413328248028,
        4.7274331483091805,
        4.727452968370334,
        4.727472788431487,
        4.727492608492639,
        4.727512428553791,
        4.727532248614943,
        4.727552068676095,
        4.727571888737249,
        4.727591708798402,
        4.727611528859553,
        4.727631348920705,
        4.727889009715687,
        4.72790882977684,
        4.7279286498379935,
        4.727948469899145,
        4.727968289960297,
        4.72798811002145,
        4.728007930082603,
        4.728027750143755,
        4.728047570204908,
        4.72806739026606,
        4.728087210327212,
        4.728107030388364,
        4.7281268504495175,
        4.72814667051067,
        4.728166490571822,
        4.7281863106329745,
        4.728206130694127,
        4.728225950755279,
        4.728245770816432,
        4.728265590877585,
        4.728285410938737,
        4.728305230999889,
        4.7283250510610415,
        4.728344871122195,
        4.728364691183347,
        4.728384511244498,
        4.728404331305652,
        4.728424151366804,
        4.728443971427956,
        4.7284637914891094,
        4.728483611550262,
        4.728503431611413,
        4.728523251672566,
        4.728543071733719,
        4.728562891794872,
        4.728582711856024,
        4.728602531917176,
        4.728622351978328,
        4.728642172039481,
        4.728661992100633,
        4.728681812161787,
        4.728701632222939,
        4.72872145228409,
        4.728741272345243,
        4.728761092406396,
        4.728780912467548,
        4.728800732528701,
        4.728820552589854,
        4.728840372651005,
        4.728860192712157,
        4.728880012773311,
        4.728899832834464,
        4.728919652895616,
        4.7289394729567675,
        4.72895929301792,
        4.728979113079072,
        4.728998933140225,
        4.7290187532013785,
        4.729038573262531,
        4.729058393323682,
        4.729078213384835,
        4.729098033445987,
        4.729117853507141,
        4.729137673568293,
        4.729157493629445,
        4.729177313690597,
        4.729197133751749,
        4.729216953812902,
        4.729236773874056,
        4.729256593935208,
        4.7292764139963595,
        4.729296234057512,
        4.729316054118664,
        4.729335874179817,
        4.7293556942409705,
        4.729375514302122,
        4.729395334363274,
        4.7294151544244265,
        4.729434974485579,
        4.729454794546732,
        4.729474614607885,
        4.729494434669037,
        4.729514254730189,
        4.729534074791341,
        4.729553894852494,
        4.729573714913647,
        4.7295935349748,
        4.729613355035951,
        4.729633175097104,
        4.729652995158256,
        4.729672815219409,
        4.7296926352805615,
        4.729712455341714,
        4.729732275402866,
        4.729752095464018,
        4.729771915525171,
        4.729791735586324,
        4.729811555647476,
        4.7298313757086285,
        4.729851195769781,
        4.729871015830933,
        4.729890835892086,
        4.729910655953239,
        4.72993047601439,
        4.729950296075543,
        4.729970116136696,
        4.729989936197848,
        4.730009756259001,
        4.730029576320153,
        4.730049396381305,
        4.730069216442458,
        4.73008903650361,
        4.730108856564763,
        4.730128676625916,
        4.730148496687067,
        4.73016831674822,
        4.730188136809373,
        4.730207956870525,
        4.730227776931678,
        4.730247596992831,
        4.730267417053982,
        4.730287237115134,
        4.730465617665508,
        4.730485437726659,
        4.7305052577878115,
        4.730525077848964,
        4.730544897910117,
        4.73056471797127,
        4.730584538032422,
        4.730604358093574,
        4.730624178154726,
        4.7306439982158786,
        4.730663818277032,
        4.730683638338185,
        4.730703458399336,
        4.730723278460489,
        4.730743098521641,
        4.730762918582793,
        4.730782738643947,
        4.7308025587051,
        4.730822378766251,
        4.730842198827403,
        4.730862018888556,
        4.730881838949708,
        4.730901659010862,
        4.7309214790720135,
        4.730941299133166,
        4.730961119194318,
        4.7309809392554705,
        4.731000759316624,
        4.731020579377777,
        4.731040399438928,
        4.731060219500081,
        4.731080039561233,
        4.731099859622385,
        4.731119679683538,
        4.731139499744691,
        4.731159319805843,
        4.731179139866995,
        4.731198959928148,
        4.731218779989301,
        4.731238600050453,
        4.7312584201116055,
        4.731278240172758,
        4.73129806023391,
        4.731317880295062,
        4.731337700356216,
        4.731357520417367,
        4.73137734047852,
        4.7313971605396725,
        4.731416980600825,
        4.731436800661977,
        4.73145662072313,
        4.731476440784282,
        4.731496260845435,
        4.731516080906587,
        4.73153590096774,
        4.731555721028893,
        4.731575541090044,
        4.7315953611511965,
        4.73161518121235,
        4.731635001273502,
        4.731654821334654,
        4.7316746413958075,
        4.731694461456959,
        4.731714281518111,
        4.731734101579264,
        4.731753921640417,
        4.73177374170157,
        4.731793561762722,
        4.731813381823874,
        4.731833201885026,
        4.731853021946179,
        4.7318728420073315,
        4.731892662068485,
        4.731912482129636,
        4.731932302190788,
        4.731952122251941,
        4.731971942313094,
        4.731991762374246,
        4.732011582435399,
        4.732031402496551,
        4.732051222557703,
        4.7320710426188555,
        4.732090862680009,
        4.732110682741162,
        4.732130502802313,
        4.732150322863466,
        4.732170142924618,
        4.73218996298577,
        4.732209783046923,
        4.732229603108077,
        4.732249423169228,
        4.73226924323038,
        4.732289063291533,
        4.732308883352685,
        4.732328703413839,
        4.7323485234749905,
        4.732368343536143,
        4.732388163597295,
        4.732407983658447,
        4.7324278037196,
        4.732447623780754,
        4.732467443841905,
        4.7324872639030575,
        4.73250708396421,
        4.732526904025362,
        4.732546724086515,
        4.7325665441476685,
        4.73258636420882,
        4.732606184269972,
        4.732626004331125,
        4.732645824392277,
        4.73266564445343,
        4.732685464514582,
        4.732705284575735,
        4.732725104636887,
        4.732744924698039,
        4.732764744759192,
        4.732784564820345,
        4.732804384881497,
        4.732824204942649,
        4.732844025003802,
        4.732863845064954,
        4.732883665126107,
        4.732903485187259,
        4.732923305248412,
        4.732943125309564,
        4.7329629453707165,
        4.732982765431869,
        4.733002585493022,
        4.733022405554173,
        4.733042225615327,
        4.733062045676479,
        4.733081865737631,
        4.733101685798784,
        4.733121505859936,
        4.733141325921088,
        4.733161145982241,
        4.733180966043394,
        4.733200786104546,
        4.733220606165699,
        4.733240426226851,
        4.733260246288003,
        4.733280066349156,
        4.733299886410308,
        4.733319706471461,
        4.733339526532613,
        4.733359346593765,
        4.733379166654918,
        4.733398986716071,
        4.733418806777223,
        4.733438626838376,
        4.733458446899528,
        4.73347826696068,
        4.733498087021832,
        4.733517907082986,
        4.733537727144138,
        4.73355754720529,
        4.7335773672664425,
        4.733597187327595,
        4.733617007388747,
        4.7336368274499,
        4.7336566475110535,
        4.733676467572205,
        4.733696287633357,
        4.73371610769451,
        4.733735927755663,
        4.733755747816815,
        4.733775567877968,
        4.73379538793912,
        4.733815208000272,
        4.733835028061424,
        4.733854848122577,
        4.733874668183731,
        4.733894488244882,
        4.733914308306034,
        4.733934128367187,
        4.733953948428339,
        4.733973768489492,
        4.7339935885506454,
        4.734013408611797,
        4.734033228672949,
        4.7340530487341015,
        4.734072868795254,
        4.734092688856406,
        4.734112508917559,
        4.734132328978712,
        4.734152149039864,
        4.734171969101016,
        4.7341917891621685,
        4.734211609223323,
        4.734231429284474,
        4.734251249345626,
        4.734271069406779,
        4.734290889467931,
        4.734310709529083,
        4.7343305295902365,
        4.734350349651389,
        4.734370169712541,
        4.734389989773693,
        4.734409809834846,
        4.734429629895999,
        4.734449449957151,
        4.7344692700183035,
        4.734489090079456,
        4.734508910140608,
        4.7345287302017605,
        4.734548550262913,
        4.734568370324066,
        4.734588190385218,
        4.734608010446371,
        4.734627830507523,
        4.734647650568675,
        4.7346674706298275,
        4.734687290690981,
        4.734707110752133,
        4.734726930813285,
        4.734746750874438,
        4.734766570935591,
        4.734786390996742,
        4.7348062110578955,
        4.734826031119048,
        4.7348458511802,
        4.734865671241352,
        4.734885491302505,
        4.734905311363657,
        4.73492513142481,
        4.7349449514859625,
        4.734964771547115,
        4.734984591608268,
        4.735004411669419,
        4.735024231730572,
        4.735044051791725,
        4.735063871852877,
        4.73508369191403,
        4.735103511975182,
        4.735123332036334,
        4.7351431520974865,
        4.73516297215864,
        4.735182792219792,
        4.735202612280944,
        4.735222432342097,
        4.735242252403249,
        4.735262072464401,
        4.735281892525554,
        4.735301712586707,
        4.735321532647859,
        4.735341352709011,
        4.735361172770164,
        4.735380992831316,
        4.7356188335651455,
        4.735638653626299,
        4.735658473687451,
        4.735678293748603,
        4.735698113809756,
        4.735717933870908,
        4.73573775393206,
        4.735757573993214,
        4.735777394054366,
        4.735797214115518,
        4.73581703417667,
        4.735836854237823,
        4.735856674298975,
        4.735876494360128,
        4.7358963144212805,
        4.735916134482433,
        4.735935954543585,
        4.735955774604737,
        4.73597559466589,
        4.735995414727043,
        4.736015234788195,
        4.7360350548493475,
        4.7360548749105,
        4.736074694971652,
        4.736094515032804,
        4.736114335093958,
        4.73613415515511,
        4.736153975216262,
        4.7361737952774146,
        4.736193615338567,
        4.736213435399719,
        4.736233255460872,
        4.736253075522025,
        4.736272895583177,
        4.736292715644329,
        4.736312535705482,
        4.736332355766634,
        4.736352175827787,
        4.736371995888939,
        4.736391815950092,
        4.736411636011244,
        4.736431456072396,
        4.736451276133549,
        4.736471096194702,
        4.736490916255854,
        4.7365107363170065,
        4.736530556378158,
        4.736550376439311,
        4.736570196500463,
        4.736590016561617,
        4.736609836622769,
        4.736629656683921,
        4.7366494767450735,
        4.736669296806226,
        4.736689116867378,
        4.736708936928531,
        4.736728756989684,
        4.736748577050836,
        4.736768397111988,
        4.736788217173141,
        4.736808037234293,
        4.736827857295446,
        4.736847677356598,
        4.736867497417751,
        4.736887317478903,
        4.736907137540055,
        4.736926957601208,
        4.736946777662361,
        4.736966597723513,
        4.7369864177846654,
        4.737006237845818,
        4.73702605790697,
        4.737045877968122,
        4.737065698029276,
        4.737085518090428,
        4.73710533815158,
        4.7371251582127325,
        4.737144978273885,
        4.737164798335037,
        4.73718461839619,
        4.737204438457343,
        4.737224258518495,
        4.737244078579647,
        4.7372638986407996,
        4.737283718701952,
        4.737303538763104,
        4.737323358824257,
        4.73734317888541,
        4.737362998946562,
        4.737382819007714,
        4.737402639068867,
        4.73742245913002,
        4.737442279191172,
        4.737462099252324,
        4.737481919313477,
        4.737501739374629,
        4.7375215594357805,
        4.7375413794969345,
        4.737561199558087,
        4.737581019619239,
        4.7376008396803915,
        4.737620659741544,
        4.737640479802696,
        4.737660299863849,
        4.737680119925002,
        4.737699939986154,
        4.737719760047306,
        4.7377395801084585,
        4.737759400169611,
        4.737779220230764,
        4.737799040291916,
        4.737818860353069,
        4.737838680414221,
        4.737858500475372,
        4.737878320536526,
        4.737898140597679,
        4.737917960658831,
        4.737937780719983,
        4.737957600781136,
        4.737977420842288,
        4.73799724090344,
        4.7380170609645935,
        4.738036881025746,
        4.738056701086898,
        4.73807652114805,
        4.738096341209203,
        4.738116161270355,
        4.738135981331508,
        4.738155801392661,
        4.738175621453813,
        4.738195441514965,
        4.7382152615761175,
        4.73823508163727,
        4.738254901698423,
        4.738274721759575,
        4.738294541820727,
        4.73831436188188,
        4.738334181943032,
        4.7383540020041846,
        4.738373822065338,
        4.73839364212649,
        4.738413462187642,
        4.738433282248795,
        4.738453102309947,
        4.738472922371099,
        4.7384927424322525,
        4.738512562493405,
        4.738532382554557,
        4.738552202615709,
        4.738572022676862,
        4.738591842738014,
        4.738611662799167,
        4.738631482860319,
        4.738651302921472,
        4.738671122982624,
        4.7386909430437765,
        4.738710763104929,
        4.738730583166082,
        4.738750403227234,
        4.738770223288387,
        4.738790043349539,
        4.738809863410691,
        4.7388296834718435,
        4.738849503532996,
        4.738869323594149,
        4.738889143655301,
        4.738908963716454,
        4.738928783777606,
        4.738948603838758,
        4.7389684238999115,
        4.738988243961064,
        4.739008064022216,
        4.739027884083368,
        4.739047704144521,
        4.739067524205672,
        4.739087344266826,
        4.7391071643279785,
        4.739126984389131,
        4.739146804450283,
        4.739166624511435,
        4.739186444572587,
        4.739206264633741,
        4.739226084694893,
        4.739245904756046,
        4.739265724817198,
        4.739285544878349,
        4.7393053649395025,
        4.739325185000656,
        4.739345005061808,
        4.73936482512296,
        4.739384645184113,
        4.739404465245264,
        4.739424285306417,
        4.73944410536757,
        4.739463925428723,
        4.739483745489875,
        4.7395035655510265,
        4.73952338561218,
        4.739543205673332,
        4.739563025734485,
        4.7395828457956375,
        4.73960266585679,
        4.739622485917941,
        4.739642305979094,
        4.739662126040247,
        4.7396819461014,
        4.739701766162552,
        4.7397215862237045,
        4.739741406284857,
        4.739761226346009,
        4.7397810464071615,
        4.739800866468315,
        4.739820686529467,
        4.739840506590618,
        4.739860326651772,
        4.739880146712924,
        4.739899966774076,
        4.739919786835229,
        4.739939606896382,
        4.739959426957533,
        4.739979247018686,
        4.739999067079839,
        4.740018887140991,
        4.740038707202144,
        4.740058527263296,
        4.740078347324449,
        4.740098167385601,
        4.740117987446753,
        4.740137807507906,
        4.740157627569059,
        4.74017744763021,
        4.7401972676913635,
        4.740217087752516,
        4.740236907813668,
        4.74025672787482,
        4.740276547935973,
        4.740296367997126,
        4.740316188058278,
        4.740336008119431,
        4.740355828180583,
        4.740375648241735,
        4.7403954683028875,
        4.740415288364041,
        4.740435108425193,
        4.740454928486345,
        4.740474748547498,
        4.740494568608649,
        4.740514388669802,
        4.740534208730955,
        4.740554028792108,
        4.74057384885326,
        4.740593668914412,
        4.740613488975564,
        4.740633309036718,
        4.74065312909787,
        4.7406729491590225,
        4.740692769220175,
        4.740712589281327,
        4.7407324093424785,
        4.740752229403633,
        4.740772049464785,
        4.740791869525937,
        4.7408116895870895,
        4.740831509648241,
        4.740851329709394,
        4.740871149770547,
        4.7408909698317,
        4.740910789892852,
        4.740930609954004,
        4.740950430015156,
        4.740970250076309,
        4.740990070137462,
        4.741009890198614,
        4.741029710259767,
        4.741049530320918,
        4.7410693503820704,
        4.741089170443224,
        4.741108990504377,
        4.741128810565529,
        4.7411486306266815,
        4.741168450687833,
        4.741188270748986,
        4.741208090810138,
        4.741227910871292,
        4.741247730932444,
        4.741267550993595,
        4.741287371054748,
        4.741307191115901,
        4.741327011177053,
        4.741346831238206,
        4.741366651299359,
        4.74138647136051,
        4.741406291421663,
        4.741426111482816,
        4.741445931543968,
        4.741465751605121,
        4.741485571666273,
        4.741505391727425,
        4.741525211788578,
        4.74154503184973,
        4.741564851910883,
        4.741584671972036,
        4.741604492033187,
        4.74162431209434,
        4.741644132155493,
        4.741663952216645,
        4.741683772277797,
        4.741703592338951,
        4.741723412400102,
        4.741743232461255,
        4.7417630525224075,
        4.74178287258356,
        4.741802692644712,
        4.741822512705864,
        4.741842332767017,
        4.74186215282817,
        4.741881972889322,
        4.7419017929504745,
        4.741921613011627,
        4.741941433072779,
        4.741961253133932,
        4.741981073195085,
        4.742000893256237,
        4.742020713317389,
        4.742040533378541,
        4.742060353439694,
        4.742080173500847,
        4.742099993561999,
        4.742119813623152,
        4.742139633684304,
        4.7421594537454554,
        4.7421792738066095,
        4.742199093867762,
        4.742218913928914,
        4.7422387339900665,
        4.742258554051218,
        4.74227837411237,
        4.742298194173524,
        4.742318014234677,
        4.742337834295829,
        4.742357654356981,
        4.742377474418133,
        4.742397294479285,
        4.742417114540439,
        4.742436934601591,
        4.742456754662744,
        4.742476574723895,
        4.742496394785047,
        4.742516214846201,
        4.742536034907354,
        4.742555854968506,
        4.742575675029658,
        4.74259549509081,
        4.742615315151962,
        4.742635135213115,
        4.7426549552742685,
        4.742674775335421,
        4.742694595396573,
        4.7427144154577245,
        4.742734235518878,
        4.74275405558003,
        4.742773875641183,
        4.7427936957023356,
        4.742813515763487,
        4.742833335824639,
        4.7428531558857925,
        4.742872975946945,
        4.742892796008098,
        4.74291261606925,
        4.742932436130402,
        4.742952256191555,
        4.742972076252707,
        4.7429918963138595,
        4.743011716375013,
        4.743031536436164,
        4.7430513564973165,
        4.74307117655847,
        4.743090996619622,
        4.743110816680774,
        4.7431306367419275,
        4.743150456803079,
        4.743170276864231,
        4.743190096925384,
        4.743209916986537,
        4.743229737047689,
        4.743249557108841,
        4.743269377169994,
        4.743289197231147,
        4.743309017292299,
        4.7433288373534515,
        4.743348657414604,
        4.743368477475756,
        4.743388297536908,
        4.743408117598062,
        4.743427937659214,
        4.743447757720366,
        4.743467577781518,
        4.743487397842671,
        4.743507217903824,
        4.743527037964976,
        4.743546858026129,
        4.743566678087281,
        4.743586498148432,
        4.743606318209586,
        4.743626138270739,
        4.743645958331891,
        4.743665778393043,
        4.743685598454196,
        4.743705418515347,
        4.7437252385765,
        4.743992809402059,
        4.744260380227616,
        4.744280200288769,
        4.744300020349922,
        4.744319840411075,
        4.744339660472227,
        4.744359480533379,
        4.744379300594531,
        4.744399120655684,
        4.744418940716837,
        4.74443876077799,
        4.744458580839142,
        4.744478400900293,
        4.744498220961446,
        4.744518041022599,
        4.744537861083751,
        4.744557681144904,
        4.744577501206056,
        4.744597321267208,
        4.744617141328361,
        4.744854982062191,
        4.744874802123343,
        4.744894622184496,
        4.744914442245648,
        4.7449739024291056,
        4.744993722490258,
        4.74501354255141,
        4.7450333626125625,
        4.745053182673715,
        4.745073002734868,
        4.74509282279602,
        4.745112642857173,
        4.745132462918325,
        4.745152282979477,
        4.74517210304063,
        4.745191923101783,
        4.745211743162935,
        4.7452315632240865,
        4.74525138328524,
        4.745271203346392,
        4.745291023407545,
        4.7453108434686975,
        4.74533066352985,
        4.745350483591001,
        4.745370303652154,
        4.745390123713308,
        4.74540994377446,
        4.745429763835612,
        4.745449583896764,
        4.745469403957916,
        4.745489224019069,
        4.745509044080222,
        4.745528864141375,
        4.745548684202527,
        4.745568504263678,
        4.745588324324831,
        4.745608144385984,
        4.745627964447137,
        4.745647784508289,
        4.745667604569442,
        4.745687424630593,
        4.745707244691745,
        4.7457270647528995,
        4.745746884814052,
        4.745766704875204,
        4.7457865249363556,
        4.745806344997508,
        4.74582616505866,
        4.745845985119814,
        4.745865805180967,
        4.745885625242119,
        4.74590544530327,
        4.745925265364423,
        4.745945085425576,
        4.745964905486729,
        4.745984725547881,
        4.746004545609033,
        4.746024365670185,
        4.746044185731337,
        4.7460640057924905,
        4.746083825853644,
        4.746103645914796,
        4.7461234659759475,
        4.7461432860371,
        4.746163106098253,
        4.746182926159405,
        4.746202746220558,
        4.74622256628171,
        4.746242386342862,
        4.7462622064040145,
        4.746282026465168,
        4.74630184652632,
        4.746321666587473,
        4.746341486648625,
        4.746361306709777,
        4.746381126770929,
        4.7464009468320825,
        4.746420766893235,
        4.746440586954388,
        4.746460407015539,
        4.746480227076692,
        4.746500047137845,
        4.746519867198997,
        4.7465396872601495,
        4.746559507321302,
        4.746579327382454,
        4.7465991474436064,
        4.74661896750476,
        4.746638787565912,
        4.746658607627064,
        4.746678427688217,
        4.746698247749369,
        4.746718067810522,
        4.746737887871674,
        4.746757707932827,
        4.746777527993978,
        4.746797348055131,
        4.746817168116284,
        4.746836988177437,
        4.746856808238589,
        4.746876628299741,
        4.746896448360893,
        4.746916268422046,
        4.746936088483198,
        4.746955908544352,
        4.746975728605504,
        4.746995548666655,
        4.747015368727808,
        4.747035188788961,
        4.747055008850114,
        4.747074828911266,
        4.747094648972419,
        4.74711446903357,
        4.747134289094722,
        4.7471541091558755,
        4.747173929217029,
        4.747193749278181,
        4.7472135693393325,
        4.747233389400485,
        4.747253209461637,
        4.747273029522791,
        4.7472928495839435,
        4.747312669645096,
        4.747332489706247,
        4.7473523097673995,
        4.747372129828552,
        4.747391949889706,
        4.747411769950858,
        4.7474315900120105,
        4.747451410073162,
        4.747471230134314,
        4.7474910501954675,
        4.747510870256621,
        4.747530690317773,
        4.747550510378924,
        4.747570330440077,
        4.747590150501229,
        4.747609970562382,
        4.747629790623535,
        4.747649610684688,
        4.747669430745839,
        4.7476892508069914,
        4.747709070868144,
        4.747728890929297,
        4.74774871099045,
        4.747768531051602,
        4.747788351112754,
        4.747808171173906,
        4.747827991235059,
        4.747847811296212,
        4.747867631357365,
        4.747887451418516,
        4.747907271479669,
        4.747927091540821,
        4.747946911601974,
        4.747966731663126,
        4.747986551724279,
        4.748006371785431,
        4.748026191846583,
        4.748046011907737,
        4.748065831968889,
        4.748085652030041,
        4.7481054720911935,
        4.748125292152346,
        4.748145112213498,
        4.748164932274651,
        4.748184752335804,
        4.748204572396955,
        4.748224392458108,
        4.7482442125192605,
        4.748264032580413,
        4.748283852641566,
        4.748303672702718,
        4.74832349276387,
        4.748343312825023,
        4.748363132886175,
        4.7483829529473285,
        4.748402773008481,
        4.748422593069632,
        4.7484424131307845,
        4.748462233191938,
        4.74848205325309,
        4.748501873314243,
        4.7485216933753955,
        4.748541513436547,
        4.748561333497699,
        4.7485811535588525,
        4.748600973620006,
        4.748620793681158,
        4.74864061374231,
        4.748660433803462,
        4.748680253864614,
        4.748700073925767,
        4.74871989398692,
        4.748739714048073,
        4.748759534109224,
        4.748779354170376,
        4.748799174231529,
        4.748818994292683,
        4.748838814353835,
        4.7488586344149875,
        4.748878454476139,
        4.748898274537291,
        4.7489180945984435,
        4.748937914659598,
        4.74895773472075,
        4.748977554781901,
        4.748997374843054,
        4.749017194904206,
        4.749037014965358,
        4.749056835026512,
        4.749076655087665,
        4.749096475148816,
        4.749116295209968,
        4.749136115271121,
        4.749155935332274,
        4.749175755393427,
        4.7491955754545785,
        4.749215395515731,
        4.749235215576883,
        4.749255035638035,
        4.749274855699189,
        4.749294675760342,
        4.749314495821493,
        4.7493343158826455,
        4.749354135943798,
        4.749373956004951,
        4.749393776066103,
        4.7494135961272566,
        4.749433416188408,
        4.74945323624956,
        4.749473056310713,
        4.749492876371866,
        4.749512696433018,
        4.74953251649417,
        4.749552336555323,
        4.749572156616475,
        4.749591976677627,
        4.7496117967387805,
        4.749631616799933,
        4.749651436861085,
        4.7496712569222375,
        4.74969107698339,
        4.749710897044543,
        4.749730717105695,
        4.749750537166847,
        4.749770357228,
        4.749790177289152,
        4.7498099973503045,
        4.749829817411458,
        4.74984963747261,
        4.749869457533761,
        4.749889277594915,
        4.749909097656067,
        4.74992891771722,
        4.7499487377783725,
        4.749968557839524,
        4.749988377900676,
        4.750008197961829,
        4.750028018022982,
        4.750047838084135,
        4.750067658145287,
        4.750087478206439,
        4.750107298267591,
        4.750127118328744,
        4.750146938389896,
        4.75016675845105,
        4.750186578512201,
        4.750206398573353,
        4.750226218634506,
        4.750246038695659,
        4.750265858756812,
        4.750285678817964,
        4.750305498879116,
        4.750325318940268,
        4.75034513900142,
        4.750364959062574,
        4.750384779123727,
        4.750404599184879,
        4.7504244192460305,
        4.750444239307183,
        4.750464059368335,
        4.750483879429489,
        4.7505036994906416,
        4.750523519551793,
        4.750543339612945,
        4.750563159674098,
        4.75058297973525,
        4.750602799796404,
        4.750622619857556,
        4.750642439918708,
        4.75066225997986,
        4.750682080041012,
        4.7507019001021655,
        4.750721720163319,
        4.75074154022447,
        4.7507613602856225,
        4.750781180346775,
        4.750801000407927,
        4.75082082046908,
        4.7508406405302335,
        4.750860460591385,
        4.750880280652537,
        4.7509001007136895,
        4.750919920774842,
        4.750939740835995,
        4.750959560897147,
        4.7509793809583,
        4.750999201019452,
        4.751019021080604,
        4.7510388411417575,
        4.75105866120291,
        4.751078481264062,
        4.751098301325214,
        4.751118121386367,
        4.751137941447519,
        4.751157761508672,
        4.751177581569824,
        4.751197401630977,
        4.751217221692129,
        4.751237041753281,
        4.751256861814435,
        4.751276681875587,
        4.751296501936738,
        4.751316321997892,
        4.751336142059044,
        4.751355962120196,
        4.751375782181349,
        4.751395602242501,
        4.751415422303653,
        4.751435242364806,
        4.751455062425959,
        4.751474882487111,
        4.751494702548264,
        4.7515145226094155,
        4.751534342670568,
        4.751554162731721,
        4.751573982792873,
        4.7515938028540265,
        4.751613622915179,
        4.75163344297633,
        4.751653263037483,
        4.751673083098636,
        4.751692903159788,
        4.751712723220941,
        4.751732543282093,
        4.751752363343245,
        4.751772183404397,
        4.7517920034655505,
        4.751811823526704,
        4.751831643587856,
        4.7518514636490075,
        4.75187128371016,
        4.751891103771312,
        4.751910923832465,
        4.7519307438936185,
        4.75195056395477,
        4.751970384015922,
        4.7519902040770745,
        4.752010024138227,
        4.752029844199381,
        4.752049664260533,
        4.752069484321685,
        4.752089304382837,
        4.752109124443989,
        4.752128944505142,
        4.752148764566296,
        4.752168584627447,
        4.752188404688599,
        4.752208224749752,
        4.752228044810904,
        4.752247864872056,
        4.75226768493321,
        4.752287504994362,
        4.752307325055514,
        4.752327145116666,
        4.752346965177819,
        4.752366785238972,
        4.752386605300125,
        4.7524064253612766,
        4.752426245422429,
        4.752446065483581,
        4.7524658855447335,
        4.752485705605887,
        4.752505525667039,
        4.752525345728191,
        4.752545165789344,
        4.752564985850496,
        4.752584805911649,
        4.752604625972801,
        4.752624446033954,
        4.752644266095106,
        4.752664086156258,
        4.752683906217411,
        4.752703726278564,
        4.752723546339715,
        4.7527433664008685,
        4.752763186462021,
        4.752783006523173,
        4.752802826584325,
        4.752822646645479,
        4.75284246670663,
        4.752862286767783,
        4.7528821068289355,
        4.752901926890088,
        4.752921746951241,
        4.7529415670123925,
        4.752961387073545,
        4.752981207134698,
        4.75300102719585,
        4.753020847257003,
        4.753040667318156,
        4.753060487379307,
        4.7530803074404595,
        4.753100127501613,
        4.753119947562765,
        4.753139767623918,
        4.75315958768507,
        4.753179407746222,
        4.753199227807374,
        4.7532190478685274,
        4.75323886792968,
        4.753258687990833,
        4.753278508051984,
        4.753298328113137,
        4.753318148174289,
        4.753337968235442,
        4.753357788296595,
        4.753377608357748,
        4.753397428418899,
        4.753417248480051,
        4.753437068541204,
        4.753456888602357,
        4.75347670866351,
        4.7534965287246616,
        4.753516348785814,
        4.753536168846966,
        4.7535559889081185,
        4.753575808969272,
        4.753595629030425,
        4.753615449091576,
        4.753635269152729,
        4.753655089213881,
        4.753674909275033,
        4.753694729336187,
        4.753714549397339,
        4.753734369458491,
        4.753754189519643,
        4.753774009580796,
        4.753793829641948,
        4.753813649703102,
        4.7538334697642535,
        4.753853289825406,
        4.753873109886558,
        4.75389292994771,
        4.753912750008864,
        4.753932570070016,
        4.753952390131168,
        4.7539722101923205,
        4.753992030253473,
        4.754011850314625,
        4.754229870987302,
        4.7542496910484555,
        4.754269511109607,
        4.75428933117076,
        4.7543091512319124,
        4.754328971293065,
        4.754348791354217,
        4.754368611415369,
        4.754388431476522,
        4.754408251537675,
        4.754428071598827,
        4.7544478916599795,
        4.754467711721133,
        4.754487531782284,
        4.754507351843436,
        4.75452717190459,
        4.754546991965742,
        4.754566812026894,
        4.754586632088047,
        4.754606452149199,
        4.754626272210351,
        4.754646092271504,
        4.754665912332657,
        4.754685732393809,
        4.754705552454961,
        4.754725372516114,
        4.754745192577266,
        4.754765012638419,
        4.754784832699571,
        4.754804652760725,
        4.754824472821876,
        4.754844292883028,
        4.754864112944181,
        4.754883933005334,
        4.754903753066486,
        4.7549235731276385,
        4.754943393188791,
        4.754963213249943,
        4.754983033311095,
        4.755002853372249,
        4.755022673433402,
        4.755042493494553,
        4.7550623135557055,
        4.755082133616858,
        4.75510195367801,
        4.755121773739163,
        4.755141593800316,
        4.755161413861468,
        4.75518123392262,
        4.755201053983773,
        4.755220874044925,
        4.755240694106079,
        4.75526051416723,
        4.755280334228383,
        4.755300154289535,
        4.755319974350687,
        4.75533979441184,
        4.755359614472994,
        4.755379434534145,
        4.755399254595297,
        4.75541907465645,
        4.755438894717602,
        4.755458714778754,
        4.755478534839908,
        4.75549835490106,
        4.755518174962212,
        4.7555379950233645,
        4.755557815084517,
        4.755577635145671,
        4.755597455206822,
        4.755617275267975,
        4.755637095329127,
        4.755656915390279,
        4.7556767354514315,
        4.755696555512584,
        4.755716375573737,
        4.755736195634889,
        4.755756015696042,
        4.755775835757194,
        4.755795655818347,
        4.7558154758794995,
        4.755835295940652,
        4.755855116001804,
        4.755874936062956,
        4.755894756124109,
        4.755914576185261,
        4.755934396246413,
        4.7559542163075665,
        4.755974036368719,
        4.755993856429871,
        4.7560136764910235,
        4.756033496552176,
        4.756053316613329,
        4.756073136674481,
        4.756092956735634,
        4.756112776796786,
        4.756132596857938,
        4.7561524169190905,
        4.756172236980244,
        4.756192057041396,
        4.756211877102548,
        4.756231697163701,
        4.756251517224853,
        4.756271337286005,
        4.7562911573471585,
        4.756310977408311,
        4.756330797469463,
        4.756350617530616,
        4.756370437591768,
        4.75639025765292,
        4.756410077714073,
        4.7564298977752255,
        4.756449717836378,
        4.75646953789753,
        4.756489357958682,
        4.756509178019835,
        4.756528998080988,
        4.75654881814214,
        4.7565686382032935,
        4.756588458264445,
        4.756608278325597,
        4.7566280983867495,
        4.756647918447903,
        4.756667738509055,
        4.756687558570207,
        4.75670737863136,
        4.756727198692512,
        4.756747018753664,
        4.756766838814817,
        4.75678665887597,
        4.756806478937122,
        4.756826298998274,
        4.756846119059427,
        4.756865939120579,
        4.756885759181732,
        4.7569055792428845,
        4.756925399304037,
        4.756945219365189,
        4.756965039426341,
        4.756984859487494,
        4.757004679548647,
        4.757024499609799,
        4.7570443196709515,
        4.757064139732104,
        4.757083959793256,
        4.7571037798544085,
        4.757123599915561,
        4.757143419976714,
        4.757163240037866,
        4.757183060099019,
        4.757202880160171,
        4.757222700221323,
        4.757242520282476,
        4.757262340343629,
        4.757282160404781,
        4.757301980465933,
        4.757321800527086,
        4.757341620588237,
        4.757361440649391,
        4.7573812607105435,
        4.757401080771696,
        4.757420900832848,
        4.757440720894,
        4.757460540955153,
        4.757480361016306,
        4.757500181077458,
        4.7575200011386105,
        4.757539821199763,
        4.757777661933592,
        4.757797481994745,
        4.757817302055897,
        4.75783712211705,
        4.757856942178202,
        4.757876762239355,
        4.757896582300507,
        4.757916402361659,
        4.757936222422812,
        4.757956042483965,
        4.757975862545117,
        4.7579956826062695,
        4.758015502667422,
        4.758035322728574,
        4.758055142789726,
        4.75807496285088,
        4.758094782912032,
        4.758114602973183,
        4.7581344230343365,
        4.758154243095489,
        4.758174063156641,
        4.758193883217794,
        4.758213703278947,
        4.758233523340099,
        4.758253343401251,
        4.758273163462404,
        4.758292983523556,
        4.758312803584709,
        4.758332623645861,
        4.758352443707014,
        4.758372263768166,
        4.758392083829318,
        4.758411903890471,
        4.758431723951624,
        4.758451544012776,
        4.7584713640739285,
        4.758491184135081,
        4.758511004196233,
        4.758530824257385,
        4.758550644318539,
        4.758570464379691,
        4.758590284440843,
        4.7586101045019955,
        4.758629924563148,
        4.7586497446243,
        4.758669564685452,
        4.758689384746606,
        4.758709204807758,
        4.75872902486891,
        4.758748844930063,
        4.758768664991215,
        4.758788485052368,
        4.75880830511352,
        4.758828125174673,
        4.758847945235825,
        4.758867765296977,
        4.758887585358129,
        4.758907405419283,
        4.758927225480435,
        4.758947045541587,
        4.75896686560274,
        4.758986685663892,
        4.759006505725044,
        4.7590263257861976,
        4.75904614584735,
        4.759065965908502,
        4.7590857859696545,
        4.759105606030806,
        4.759125426091959,
        4.759145246153112,
        4.759165066214265,
        4.759184886275417,
        4.759204706336569,
        4.759224526397721,
        4.759244346458874,
        4.759264166520027,
        4.759283986581179,
        4.759303806642332,
        4.759323626703484,
        4.759343446764636,
        4.759363266825789,
        4.759383086886942,
        4.759402906948094,
        4.759422727009246,
        4.759442547070398,
        4.759462367131551,
        4.759482187192703,
        4.7595020072538565,
        4.759521827315009,
        4.759541647376161,
        4.7595614674373135,
        4.759581287498466,
        4.759601107559618,
        4.759620927620771,
        4.759640747681924,
        4.759660567743075,
        4.759680387804228,
        4.7597002078653805,
        4.759720027926533,
        4.759739847987686,
        4.759759668048838,
        4.759779488109991,
        4.759799308171143,
        4.759819128232295,
        4.759838948293448,
        4.759858768354601,
        4.759878588415752,
        4.759898408476905,
        4.759918228538058,
        4.75993804859921,
        4.759957868660362,
        4.7599776887215155,
        4.759997508782667,
        4.76001732884382,
        4.760037148904972,
        4.760056968966125,
        4.760076789027277,
        4.760096609088429,
        4.7601164291495826,
        4.760136249210735,
        4.760156069271887,
        4.7601758893330395,
        4.760195709394192,
        4.760215529455344,
        4.760235349516497,
        4.76025516957765,
        4.760274989638802,
        4.760294809699954,
        4.760314629761106,
        4.76033444982226,
        4.760354269883412,
        4.760374089944564,
        4.760393910005717,
        4.760413730066869,
        4.76043355012802,
        4.7604533701891745,
        4.760473190250327,
        4.760493010311479,
        4.760512830372631,
        4.760532650433784,
        4.760552470494935,
        4.760572290556089,
        4.7605921106172415,
        4.760611930678394,
        4.760631750739546,
        4.760651570800698,
        4.760671390861851,
        4.760691210923004,
        4.760711030984156,
        4.760730851045309,
        4.760750671106461,
        4.760770491167612,
        4.7607903112287655,
        4.760810131289919,
        4.760829951351071,
        4.760849771412223,
        4.760869591473375,
        4.760889411534528,
        4.76090923159568,
        4.760929051656833,
        4.760948871717986,
        4.760968691779138,
        4.7609885118402895,
        4.761008331901443,
        4.761028151962595,
        4.761047972023748,
        4.7610677920849005,
        4.761087612146052,
        4.761107432207205,
        4.761127252268357,
        4.76114707232951,
        4.761166892390663,
        4.761186712451815,
        4.761206532512967,
        4.76122635257412,
        4.761246172635272,
        4.7612659926964245,
        4.761285812757578,
        4.76130563281873,
        4.761325452879881,
        4.761345272941035,
        4.761365093002187,
        4.761384913063339,
        4.761404733124492,
        4.761424553185644,
        4.761444373246797,
        4.761464193307949,
        4.761484013369102,
        4.761503833430254,
        4.761523653491407,
        4.761543473552559,
        4.761563293613712,
        4.761583113674864,
        4.761602933736016,
        4.761622753797169,
        4.761642573858321,
        4.761662393919474,
        4.7616822139806265,
        4.761702034041779,
        4.761721854102931,
        4.7617416741640834,
        4.761761494225236,
        4.761781314286389,
        4.761801134347541,
        4.761820954408694,
        4.761840774469846,
        4.761860594530997,
        4.7618804145921505,
        4.761900234653304,
        4.761920054714456,
        4.761939874775608,
        4.761959694836761,
        4.761979514897912,
        4.761999334959066,
        4.762019155020218,
        4.762038975081371,
        4.762058795142523,
        4.7620786152036745,
        4.762098435264827,
        4.762118255325981,
        4.762138075387133,
        4.7621578954482855,
        4.762177715509438,
        4.762197535570589,
        4.762217355631742,
        4.762237175692896,
        4.762256995754048,
        4.7622768158152,
        4.7622966358763525,
        4.762316455937504,
        4.762336275998657,
        4.76235609605981,
        4.762375916120963,
        4.762395736182115,
        4.762415556243266,
        4.76243537630442,
        4.762455196365572,
        4.762475016426725,
        4.762494836487877,
        4.76251465654903,
        4.762534476610181,
        4.762554296671334,
        4.762574116732487,
        4.76259393679364,
        4.762613756854792,
        4.762633576915944,
        4.762653396977096,
        4.762673217038249,
        4.762693037099401,
        4.762712857160555,
        4.762732677221707,
        4.762752497282858,
        4.7627723173440115,
        4.762792137405164,
        4.762811957466316,
        4.762831777527469,
        4.762851597588621,
        4.762871417649773,
        4.762891237710926,
        4.762911057772079,
        4.762930877833231,
        4.762950697894384,
        4.7629705179555355,
        4.762990338016689,
        4.763010158077841,
        4.763029978138993,
        4.763049798200146,
        4.763069618261298,
        4.76308943832245,
        4.763109258383603,
        4.763129078444756,
        4.763148898505908,
        4.76316871856706,
        4.763188538628213,
        4.763208358689365,
        4.763228178750518,
        4.7632479988116705,
        4.763267818872823,
        4.763287638933974,
        4.763307458995127,
        4.763327279056281,
        4.763347099117433,
        4.763366919178585,
        4.7633867392397375,
        4.763406559300889,
        4.763426379362042,
        4.763446199423195,
        4.763466019484348,
        4.7634858395455,
        4.763505659606652,
        4.763763320401633,
        4.763783140462787,
        4.76380296052394,
        4.763822780585092,
        4.763842600646243,
        4.763862420707396,
        4.763882240768549,
        4.763902060829702,
        4.763921880890854,
        4.763941700952007,
        4.763961521013158,
        4.76398134107431,
        4.764001161135464,
        4.764020981196617,
        4.764040801257769,
        4.7640606213189205,
        4.764080441380073,
        4.764100261441226,
        4.764120081502378,
        4.7641399015635315,
        4.764159721624684,
        4.764179541685835,
        4.7641993617469875,
        4.764219181808141,
        4.764239001869293,
        4.764258821930446,
        4.764278641991599,
        4.76429846205275,
        4.764318282113903,
        4.7643381021750555,
        4.764357922236208,
        4.764377742297361,
        4.764397562358512,
        4.764417382419665,
        4.764437202480818,
        4.76445702254197,
        4.7644768426031225,
        4.764496662664276,
        4.764516482725427,
        4.7645363027865795,
        4.764556122847733,
        4.764575942908885,
        4.764595762970037,
        4.76461558303119,
        4.764635403092342,
        4.764655223153495,
        4.764675043214647,
        4.7646948632758,
        4.764714683336952,
        4.764734503398104,
        4.764754323459257,
        4.76477414352041,
        4.764793963581562,
        4.7648137836427145,
        4.764833603703866,
        4.764853423765019,
        4.764873243826172,
        4.764893063887325,
        4.764912883948477,
        4.764932704009629,
        4.764952524070781,
        4.764972344131934,
        4.764992164193087,
        4.765011984254239,
        4.765031804315392,
        4.765051624376543,
        4.765071444437695,
        4.765091264498849,
        4.765111084560002,
        4.765130904621154,
        4.765150724682306,
        4.765170544743458,
        4.76519036480461,
        4.765210184865764,
        4.7652300049269165,
        4.765249824988069,
        4.765269645049221,
        4.7652894651103725,
        4.765309285171525,
        4.765329105232679,
        4.765348925293831,
        4.765368745354984,
        4.765388565416135,
        4.765408385477287,
        4.7654282055384405,
        4.765448025599594,
        4.765467845660746,
        4.765487665721898,
        4.76550748578305,
        4.765527305844202,
        4.765547125905355,
        4.765566945966508,
        4.765586766027661,
        4.765606586088812,
        4.7656264061499645,
        4.765646226211118,
        4.76566604627227,
        4.765685866333423,
        4.7657056863945755,
        4.765725506455727,
        4.765745326516879,
        4.765765146578032,
        4.765784966639185,
        4.765804786700338,
        4.765824606761489,
        4.765844426822642,
        4.765864246883794,
        4.765884066944947,
        4.7659038870060995,
        4.765923707067253,
        4.765943527128404,
        4.765963347189556,
        4.76598316725071,
        4.766002987311862,
        4.766022807373014,
        4.7660426274341665,
        4.766062447495319,
        4.766082267556471,
        4.766102087617624,
        4.766121907678777,
        4.766141727739929,
        4.766161547801081,
        4.766181367862234,
        4.766201187923387,
        4.766221007984539,
        4.766240828045691,
        4.766260648106843,
        4.766280468167996,
        4.766300288229148,
        4.7663201082903015,
        4.766339928351454,
        4.766538128962979,
        4.766557949024131,
        4.766577769085283,
        4.766597589146435,
        4.766617409207587,
        4.76663722926874,
        4.766657049329893,
        4.766676869391046,
        4.766696689452198,
        4.7667165095133495,
        4.766736329574503,
        4.766756149635656,
        4.766775969696808,
        4.7667957897579605,
        4.766815609819112,
        4.766835429880264,
        4.7668552499414165,
        4.766875070002571,
        4.766894890063723,
        4.766914710124875,
        4.766934530186027,
        4.766954350247179,
        4.766974170308333,
        4.766993990369485,
        4.767013810430638,
        4.767033630491789,
        4.767053450552941,
        4.767073270614094,
        4.767093090675247,
        4.7671129107364,
        4.767132730797552,
        4.767152550858704,
        4.767172370919856,
        4.767192190981008,
        4.7672120110421625,
        4.767231831103315,
        4.767251651164467,
        4.767271471225619,
        4.767291291286771,
        4.767311111347924,
        4.767330931409077,
        4.76735075147023,
        4.767370571531381,
        4.767390391592533,
        4.767410211653686,
        4.767430031714839,
        4.767449851775992,
        4.767469671837144,
        4.767489491898296,
        4.767509311959448,
        4.767529132020601,
        4.7675489520817536,
        4.767568772142907,
        4.767588592204058,
        4.7676084122652105,
        4.767628232326363,
        4.767648052387516,
        4.767667872448668,
        4.7676876925098215,
        4.767707512570973,
        4.767727332632125,
        4.7677471526932775,
        4.767766972754431,
        4.767786792815583,
        4.767806612876735,
        4.767826432937888,
        4.76784625299904,
        4.767866073060193,
        4.7678858931213455,
        4.767905713182498,
        4.76792553324365,
        4.767945353304802,
        4.767965173365955,
        4.767984993427108,
        4.76837148461958,
        4.768797615934358,
        4.76881743599551,
        4.7688372560566625,
        4.768857076117816,
        4.768876896178969,
        4.768896716240121,
        4.768916536301273,
        4.768936356362425,
        4.768956176423577,
        4.7689759964847305,
        4.768995816545884,
        4.769015636607035,
        4.769035456668187,
        4.76905527672934,
        4.769075096790492,
        4.769094916851645,
        4.769114736912798,
        4.76913455697395,
        4.769154377035102,
        4.7691741970962545,
        4.769194017157408,
        4.76921383721856,
        4.769233657279713,
        4.769253477340865,
        4.769273297402017,
        4.769293117463169,
        4.769312937524322,
        4.769332757585475,
        4.769352577646627,
        4.769372397707779,
        4.769392217768932,
        4.769412037830085,
        4.769431857891237,
        4.7694516779523894,
        4.769471498013542,
        4.769491318074694,
        4.769511138135846,
        4.769530958197,
        4.769550778258152,
        4.769570598319303,
        4.7695904183804565,
        4.769610238441609,
        4.769630058502761,
        4.769649878563914,
        4.769669698625067,
        4.769689518686218,
        4.769709338747371,
        4.7697291588085236,
        4.769748978869677,
        4.769768798930829,
        4.7697886189919805,
        4.769808439053133,
        4.769828259114286,
        4.769848079175438,
        4.7698678992365915,
        4.769887719297744,
        4.769907539358895,
        4.7699273594200475,
        4.769947179481201,
        4.769966999542354,
        4.769986819603506,
        4.770006639664658,
        4.77002645972581,
        4.770046279786962,
        4.7700660998481155,
        4.770085919909269,
        4.770105739970421,
        4.770125560031572,
        4.770145380092725,
        4.770165200153877,
        4.770185020215031,
        4.770204840276183,
        4.770224660337336,
        4.770244480398487,
        4.7702643004596395,
        4.770284120520792,
        4.770303940581946,
        4.770323760643098,
        4.77034358070425,
        4.770363400765402,
        4.770383220826554,
        4.7704030408877065,
        4.770422860948861,
        4.770442681010013,
        4.770462501071164,
        4.770482321132317,
        4.770502141193469,
        4.770521961254622,
        4.770541781315775,
        4.770561601376927,
        4.770581421438079,
        4.770601241499231,
        4.770621061560384,
        4.770640881621537,
        4.77066070168269,
        4.7706805217438415,
        4.770700341804994,
        4.770720161866146,
        4.770739981927299,
        4.770759801988452,
        4.770779622049604,
        4.770799442110756,
        4.7708192621719085,
        4.770839082233061,
        4.770858902294214,
        4.770878722355366,
        4.770898542416519,
        4.770918362477671,
        4.770938182538823,
        4.770958002599976,
        4.770977822661129,
        4.77099764272228,
        4.771017462783433,
        4.771037282844586,
        4.771057102905738,
        4.771076922966891,
        4.7710967430280435,
        4.771116563089195,
        4.771136383150348,
        4.7711562032115005,
        4.771176023272653,
        4.771195843333806,
        4.771215663394958,
        4.77123548345611,
        4.771255303517263,
        4.771275123578415,
        4.771294943639568,
        4.771314763700721,
        4.771334583761872,
        4.7713544038230244,
        4.771374223884178,
        4.77139404394533,
        4.771413864006483,
        4.7714336840676355,
        4.771453504128787,
        4.771473324189939,
        4.771493144251092,
        4.771512964312246,
        4.771532784373398,
        4.771552604434549,
        4.771572424495702,
        4.771592244556854,
        4.771612064618007,
        4.77163188467916,
        4.771651704740313,
        4.771671524801464,
        4.771691344862616,
        4.771711164923769,
        4.771730984984922,
        4.771750805046075,
        4.7717706251072265,
        4.771790445168379,
        4.771810265229531,
        4.771830085290683,
        4.7718499053518375,
        4.77186972541299,
        4.771889545474141,
        4.7719093655352935,
        4.771929185596446,
        4.771949005657598,
        4.771968825718752,
        4.771988645779904,
        4.772008465841056,
        4.772028285902208,
        4.772048105963361,
        4.772067926024514,
        4.772087746085667,
        4.772107566146818,
        4.772127386207971,
        4.772147206269123,
        4.772167026330275,
        4.7721868463914285,
        4.772206666452582,
        4.772226486513733,
        4.7722463065748855,
        4.772266126636038,
        4.77228594669719,
        4.772305766758343,
        4.772325586819496,
        4.772345406880648,
        4.7723652269418,
        4.7723850470029525,
        4.772404867064106,
        4.772424687125258,
        4.77244450718641,
        4.772464327247563,
        4.772484147308715,
        4.772503967369867,
        4.7725237874310205,
        4.772543607492172,
        4.772563427553325,
        4.772583247614477,
        4.77260306767563,
        4.772622887736783,
        4.772642707797935,
        4.772662527859087,
        4.77268234792024,
        4.772702167981392,
        4.772721988042544,
        4.772741808103698,
        4.772761628164849,
        4.772781448226001,
        4.772801268287155,
        4.772821088348307,
        4.77284090840946,
        4.772860728470612,
        4.772880548531764,
        4.772900368592916,
        4.772920188654069,
        4.772940008715222,
        4.772959828776375,
        4.772979648837526,
        4.7729994688986785,
        4.773019288959831,
        4.773039109020984,
        4.773058929082136,
        4.7732769497548135,
        4.773296769815967,
        4.773316589877118,
        4.7733364099382705,
        4.773356229999423,
        4.773376050060575,
        4.773395870121729,
        4.7734156901828815,
        4.773435510244033,
        4.773455330305185,
        4.7734751503663375,
        4.77349497042749,
        4.773514790488644,
        4.773534610549795,
        4.773554430610948,
        4.7735742506721,
        4.773594070733252,
        4.773673350977862,
        4.773693171039015,
        4.773712991100167,
        4.77373281116132,
        4.7737526312224725,
        4.773772451283625,
        4.773792271344777,
        4.773812091405929,
        4.773831911467082,
        4.773851731528235,
        4.773871551589387,
        4.77389137165054,
        4.773911191711692,
        4.773931011772844,
        4.773950831833997,
        4.773970651895149,
        4.773990471956302,
        4.774010292017454,
        4.774030112078607,
        4.774049932139759,
        4.774069752200912,
        4.7740895722620635,
        4.774109392323217,
        4.774129212384369,
        4.774149032445521,
        4.774168852506674,
        4.774188672567827,
        4.774208492628978,
        4.7742283126901315,
        4.774248132751284,
        4.774267952812436,
        4.774287772873589,
        4.774307592934741,
        4.774327412995893,
        4.774347233057046,
        4.7743670531181985,
        4.774386873179351,
        4.774406693240504,
        4.7744265133016555,
        4.774446333362808,
        4.774466153423961,
        4.774485973485113,
        4.7745057935462665,
        4.774525613607418,
        4.77454543366857,
        4.7745652537297225,
        4.774585073790876,
        4.774604893852028,
        4.774624713913181,
        4.774644533974333,
        4.774664354035485,
        4.774684174096637,
        4.7747039941577905,
        4.774723814218944,
        4.774743634280095,
        4.774763454341247,
        4.7747832744024,
        4.774803094463552,
        4.774822914524705,
        4.774842734585858,
        4.77486255464701,
        4.774882374708162,
        4.774902194769314,
        4.774922014830467,
        4.77494183489162,
        4.774961654952772,
        4.774981475013925,
        4.775001295075077,
        4.775021115136229,
        4.7750409351973815,
        4.775060755258536,
        4.775080575319687,
        4.775100395380839,
        4.775120215441992,
        4.775140035503144,
        4.775159855564296,
        4.77517967562545,
        4.775199495686602,
        4.775219315747754,
        4.775239135808906,
        4.775258955870059,
        4.775278775931212,
        4.775298595992364,
        4.7753184160535165,
        4.775338236114669,
        4.775358056175821,
        4.775377876236973,
        4.775397696298127,
        4.775417516359279,
        4.775437336420431,
        4.7754571564815835,
        4.775476976542736,
        4.775496796603888,
        4.7755166166650405,
        4.775536436726194,
        4.775556256787346,
        4.775576076848498,
        4.775595896909651,
        4.775615716970804,
        4.775635537031955,
        4.775714817276565,
        4.775734637337718,
        4.77575445739887,
        4.775774277460023,
        4.7757940975211755,
        4.775813917582328,
        4.775833737643481,
        4.775853557704632,
        4.775873377765785,
        4.775893197826938,
        4.77591301788809,
        4.7759328379492425,
        4.775952658010395,
        4.775972478071547,
        4.775992298132699,
        4.776012118193853,
        4.776031938255005,
        4.776051758316158,
        4.77607157837731,
        4.776091398438462,
        4.776111218499614,
        4.776368879294596,
        4.776705820334188,
        4.776725640395341,
        4.776745460456493,
        4.776765280517646,
        4.776785100578798,
        4.77680492063995,
        4.776824740701103,
        4.776844560762256,
        4.776864380823408,
        4.7768842008845604,
        4.776904020945713,
        4.776923841006865,
        4.776943661068017,
        4.776963481129171,
        4.776983301190323,
        4.777003121251475,
        4.7770229413126275,
        4.77704276137378,
        4.777062581434932,
        4.777082401496085,
        4.777102221557238,
        4.77712204161839,
        4.777141861679542,
        4.777161681740695,
        4.777181501801847,
        4.777201321863,
        4.777221141924152,
        4.777240961985305,
        4.777260782046457,
        4.777280602107609,
        4.777300422168762,
        4.777320242229915,
        4.777340062291067,
        4.777359882352219,
        4.777379702413373,
        4.777399522474524,
        4.777419342535676,
        4.7774391625968295,
        4.777458982657982,
        4.777478802719134,
        4.7774986227802865,
        4.777518442841439,
        4.777538262902591,
        4.777558082963744,
        4.777577903024897,
        4.777597723086049,
        4.777617543147201,
        4.7776373632083535,
        4.777657183269507,
        4.777677003330659,
        4.777696823391811,
        4.777716643452964,
        4.777736463514116,
        4.777756283575268,
        4.777776103636421,
        4.777795923697574,
        4.777815743758726,
        4.777835563819878,
        4.777855383881031,
        4.777875203942183,
        4.777895024003336,
        4.7779148440644885,
        4.777934664125641,
        4.777954484186793,
        4.7779743042479454,
        4.777994124309098,
        4.77801394437025,
        4.778033764431403,
        4.778053584492556,
        4.778073404553708,
        4.77809322461486,
        4.7781130446760125,
        4.778132864737166,
        4.778152684798318,
        4.77817250485947,
        4.778192324920623,
        4.778212144981775,
        4.778231965042927,
        4.7782517851040796,
        4.778271605165233,
        4.778291425226385,
        4.778311245287537,
        4.77833106534869,
        4.778350885409842,
        4.778370705470995,
        4.7783905255321475,
        4.7784103455933,
        4.778430165654452,
        4.778449985715604,
        4.778469805776757,
        4.778489625837909,
        4.778509445899062,
        4.7785292659602145,
        4.778549086021367,
        4.778568906082519,
        4.7785887261436715,
        4.778608546204825,
        4.778628366265977,
        4.778648186327129,
        4.778668006388282,
        4.778687826449434,
        4.778707646510585,
        4.7787274665717385,
        4.778747286632892,
        4.778767106694044,
        4.778786926755196,
        4.778806746816349,
        4.778826566877501,
        4.778846386938654,
        4.7788662069998065,
        4.778886027060959,
        4.778905847122111,
        4.7789256671832625,
        4.778945487244416,
        4.778965307305568,
        4.778985127366721,
        4.7790049474278735,
        4.779024767489026,
        4.779044587550178,
        4.7790644076113304,
        4.779084227672484,
        4.779104047733636,
        4.779123867794788,
        4.779143687855941,
        4.779163507917093,
        4.779183327978245,
        4.7792031480393975,
        4.779222968100551,
        4.779242788161703,
        4.779262608222855,
        4.779282428284008,
        4.77930224834516,
        4.779322068406313,
        4.779341888467465,
        4.779361708528618,
        4.77938152858977,
        4.779401348650922,
        4.779421168712075,
        4.779440988773227,
        4.77946080883438,
        4.779480628895532,
        4.779500448956685,
        4.779520269017837,
        4.779540089078989,
        4.779559909140143,
        4.779579729201295,
        4.779599549262447,
        4.7796193693235995,
        4.779639189384752,
        4.779659009445904,
        4.779678829507057,
        4.779698649568209,
        4.779718469629362,
        4.779896850179734,
        4.779916670240887,
        4.779936490302039,
        4.7799563103631915,
        4.779976130424344,
        4.779995950485496,
        4.780015770546648,
        4.780035590607801,
        4.780055410668954,
        4.780075230730106,
        4.7800950507912585,
        4.780114870852411,
        4.780134690913563,
        4.780154510974716,
        4.780174331035869,
        4.780194151097021,
        4.780213971158173,
        4.780233791219326,
        4.780253611280477,
        4.780273431341631,
        4.780293251402783,
        4.780313071463936,
        4.780332891525088,
        4.78035271158624,
        4.780372531647393,
        4.780392351708546,
        4.780412171769698,
        4.78043199183085,
        4.780451811892003,
        4.780471631953154,
        4.780491452014307,
        4.780511272075461,
        4.780531092136613,
        4.780550912197765,
        4.7805707322589175,
        4.78059055232007,
        4.780610372381222,
        4.780630192442375,
        4.780650012503528,
        4.78066983256468,
        4.780689652625831,
        4.7807094726869845,
        4.780729292748137,
        4.78074911280929,
        4.780768932870442,
        4.780788752931595,
        4.780808572992746,
        4.780828393053899,
        4.780848213115052,
        4.780868033176205,
        4.780887853237357,
        4.7809076732985085,
        4.780927493359662,
        4.780947313420814,
        4.780967133481966,
        4.7809869535431195,
        4.781006773604272,
        4.781026593665423,
        4.7810464137265765,
        4.781066233787729,
        4.781086053848881,
        4.781105873910034,
        4.781125693971187,
        4.781145514032339,
        4.781165334093491,
        4.7811851541546435,
        4.781204974215796,
        4.781224794276949,
        4.7812446143381,
        4.781264434399254,
        4.781284254460406,
        4.781304074521558,
        4.781323894582711,
        4.781343714643864,
        4.781363534705015,
        4.781383354766168,
        4.781403174827321,
        4.781422994888473,
        4.781442814949625,
        4.781462635010778,
        4.781482455071931,
        4.781502275133083,
        4.781522095194235,
        4.781541915255388,
        4.78156173531654,
        4.781581555377692,
        4.781601375438846,
        4.781621195499998,
        4.78164101556115,
        4.7816608356223025,
        4.781680655683454,
        4.781700475744608,
        4.78172029580576,
        4.781740115866913,
        4.781759935928065,
        4.781779755989217,
        4.781799576050369,
        4.781819396111523,
        4.781839216172675,
        4.781859036233827,
        4.78187885629498,
        4.781898676356131,
        4.781918496417284,
        4.7819383164784375,
        4.78195813653959,
        4.781977956600742,
        4.781997776661894,
        4.782017596723046,
        4.782037416784199,
        4.782057236845352,
        4.7820770569065045,
        4.782096876967657,
        4.782116697028809,
        4.782136517089961,
        4.782156337151114,
        4.782176157212267,
        4.782195977273419,
        4.782215797334572,
        4.782235617395723,
        4.782255437456876,
        4.7822752575180285,
        4.782295077579182,
        4.782314897640334,
        4.782334717701486,
        4.782354537762638,
        4.782374357823791,
        4.782394177884943,
        4.7824139979460965,
        4.782433818007249,
        4.7824536380684,
        4.782473458129553,
        4.782493278190706,
        4.782513098251858,
        4.782532918313011,
        4.7825527383741635,
        4.782572558435315,
        4.782592378496468,
        4.78261219855762,
        4.782632018618773,
        4.78269147880223,
        4.782711298863383,
        4.782731118924535,
        4.7827509389856875,
        4.782770759046841,
        4.782790579107992,
        4.782810399169145,
        4.783008599780669,
        4.7830284198418225,
        4.783048239902975,
        4.783068059964127,
        4.783087880025279,
        4.783107700086432,
        4.783127520147584,
        4.783147340208737,
        4.7831671602698895,
        4.783186980331042,
        4.783206800392194,
        4.783226620453346,
        4.783246440514499,
        4.783266260575652,
        4.783286080636804,
        4.783305900697957,
        4.783325720759109,
        4.78334554082026,
        4.783365360881414,
        4.783385180942567,
        4.783405001003719,
        4.783424821064871,
        4.783444641126023,
        4.783464461187175,
        4.783484281248329,
        4.7835041013094814,
        4.783523921370634,
        4.783543741431786,
        4.7835635614929375,
        4.783583381554091,
        4.783603201615244,
        4.783623021676396,
        4.7836428417375485,
        4.7836626617987,
        4.783682481859852,
        4.783702301921005,
        4.783722121982159,
        4.783741942043311,
        4.783761762104463,
        4.783781582165615,
        4.78400951286887,
        4.784356363939037,
        4.784376184000189,
        4.784396004061342,
        4.784415824122494,
        4.784435644183646,
        4.7844554642447985,
        4.784475284305952,
        4.784495104367104,
        4.784514924428256,
        4.784534744489409,
        4.784554564550561,
        4.784574384611713,
        4.7845942046728664,
        4.784614024734019,
        4.784633844795171,
        4.7846536648563225,
        4.784673484917476,
        4.784693304978629,
        4.784713125039781,
        4.7847329451009335,
        4.784752765162086,
        4.784772585223237,
        4.78479240528439,
        4.784812225345544,
        4.784832045406696,
        4.784851865467848,
        4.784871685529,
        4.784891505590152,
        4.784911325651306,
        4.784931145712458,
        4.784950965773611,
        4.784970785834763,
        4.784990605895914,
        4.785010425957067,
        4.785030246018221,
        4.785050066079373,
        4.785069886140525,
        4.785089706201678,
        4.785109526262829,
        4.785129346323982,
        4.7851491663851355,
        4.785168986446288,
        4.78518880650744,
        4.785208626568592,
        4.785228446629744,
        4.785248266690897,
        4.78526808675205,
        4.785287906813203,
        4.785307726874355,
        4.785327546935506,
        4.785347366996659,
        4.785367187057812,
        4.785387007118965,
        4.785406827180117,
        4.785426647241269,
        4.785446467302421,
        4.785466287363574,
        4.785486107424727,
        4.78550592748588,
        4.785525747547032,
        4.7855455676081835,
        4.785565387669336,
        4.785585207730489,
        4.785605027791641,
        4.7856248478527945,
        4.785644667913946,
        4.785664487975098,
        4.7856843080362514,
        4.785704128097404,
        4.785723948158556,
        4.785743768219709,
        4.785763588280861,
        4.785783408342013,
        4.785803228403166,
        4.7858230484643185,
        4.785842868525471,
        4.785862688586624,
        4.785882508647775,
        4.785902328708928,
        4.785922148770081,
        4.785941968831233,
        4.7859617888923855,
        4.785981608953538,
        4.78600142901469,
        4.786021249075843,
        4.786041069136996,
        4.786060889198148,
        4.7860807092593,
        4.786100529320453,
        4.786120349381605,
        4.786140169442758,
        4.78615998950391,
        4.786179809565063,
        4.786199629626214,
        4.786219449687367,
        4.7862392697485205,
        4.786259089809673,
        4.786278909870825,
        4.7862987299319775,
        4.786318549993129,
        4.786338370054282,
        4.786358190115435,
        4.786378010176588,
        4.78639783023774,
        4.786417650298891,
        4.786437470360044,
        4.786457290421198,
        4.78647711048235,
        4.786496930543502,
        4.786516750604655,
        4.786536570665806,
        4.786556390726958,
        4.7865762107881125,
        4.786596030849265,
        4.786615850910417,
        4.7866356709715685,
        4.786655491032721,
        4.786675311093873,
        4.786695131155027,
        4.7867149512161795,
        4.786734771277332,
        4.786754591338483,
        4.7867744113996356,
        4.786794231460789,
        4.786814051521942,
        4.786833871583094,
        4.786853691644246,
        4.786873511705398,
        4.78689333176655,
        4.7869131518277035,
        4.786932971888857,
        4.786952791950009,
        4.78697261201116,
        4.786992432072313,
        4.787012252133466,
        4.787032072194618,
        4.787051892255771,
        4.787071712316924,
        4.787091532378075,
        4.7871113524392275,
        4.787131172500381,
        4.787150992561533,
        4.787170812622686,
        4.787190632683838,
        4.78721045274499,
        4.787230272806142,
        4.787250092867295,
        4.787269912928448,
        4.787289732989601,
        4.787309553050752,
        4.787329373111905,
        4.787349193173058,
        4.78736901323421,
        4.7873888332953625,
        4.787408653356515,
        4.787428473417667,
        4.7875275737234295,
        4.787547393784582,
        4.787567213845735,
        4.787587033906887,
        4.78760685396804,
        4.787626674029191,
        4.787646494090344,
        4.787666314151497,
        4.78768613421265,
        4.787705954273802,
        4.787725774334954,
        4.787745594396106,
        4.787765414457259,
        4.787785234518411,
        4.7878050545795645,
        4.787824874640717,
        4.787844694701868,
        4.7878645147630206,
        4.787884334824174,
        4.787904154885327,
        4.787923974946479,
        4.787943795007632,
        4.787963615068783,
        4.787983435129935,
        4.7880032551910885,
        4.788023075252242,
        4.788042895313394,
        4.788062715374546,
        4.788082535435698,
        4.78810235549685,
        4.788122175558004,
        4.788141995619156,
        4.788161815680309,
        4.78818163574146,
        4.7882014558026125,
        4.788221275863765,
        4.788241095924919,
        4.788260915986071,
        4.7882807360472235,
        4.788300556108375,
        4.788320376169527,
        4.78834019623068,
        4.788360016291834,
        4.788379836352986,
        4.788399656414137,
        4.78841947647529,
        4.788439296536442,
        4.788459116597595,
        4.788478936658748,
        4.788498756719901,
        4.788518576781052,
        4.788538396842204,
        4.788558216903357,
        4.78857803696451,
        4.788597857025663,
        4.7886176770868145,
        4.788637497147967,
        4.788657317209119,
        4.788677137270272,
        4.788696957331425,
        4.788716777392578,
        4.788736597453729,
        4.788756417514882,
        4.788776237576034,
        4.788796057637187,
        4.78881587769834,
        4.788835697759493,
        4.788855517820644,
        4.788875337881796,
        4.7888951579429495,
        4.788914978004102,
        4.788934798065254,
        4.788954618126406,
        4.788974438187559,
        4.788994258248711,
        4.789014078309864,
        4.789033898371017,
        4.78905371843217,
        4.789073538493321,
        4.7890933585544735,
        4.789113178615626,
        4.789132998676779,
        4.789152818737931,
        4.789172638799083,
        4.789192458860236,
        4.789212278921388,
        4.789232098982541,
        4.789251919043694,
        4.789271739104846,
        4.789291559165998,
        4.789311379227151,
        4.789331199288303,
        4.789351019349456,
        4.7893708394106085,
        4.78939065947176,
        4.789410479532912,
        4.789430299594065,
        4.789450119655219,
        4.789469939716371,
        4.789489759777523,
        4.789509579838675,
        4.789529399899828,
        4.78954921996098,
        4.789569040022133,
        4.789588860083286,
        4.789608680144437,
        4.789628500205589,
        4.789648320266742,
        4.789668140327896,
        4.789687960389048,
        4.7897077804502,
        4.789727600511352,
        4.789747420572504,
        4.789767240633657,
        4.7897870606948105,
        4.789806880755963,
        4.789826700817114,
        4.789846520878267,
        4.789866340939419,
        4.789886161000571,
        4.789905981061725,
        4.789925801122878,
        4.789945621184029,
        4.789965441245181,
        4.789985261306334,
        4.790005081367488,
        4.79002490142864,
        4.790044721489792,
        4.790064541550944,
        4.790084361612096,
        4.790104181673248,
        4.790124001734402,
        4.790143821795555,
        4.790163641856706,
        4.790381662529383,
        4.790401482590536,
        4.790421302651688,
        4.79044112271284,
        4.7904609427739935,
        4.790480762835147,
        4.790500582896298,
        4.79052040295745,
        4.790540223018603,
        4.790560043079756,
        4.790579863140908,
        4.79059968320206,
        4.790619503263213,
        4.793642062588962,
        4.796823182403932,
        4.796843002465084,
        4.796862822526237,
        4.796882642587389,
        4.796902462648542,
        4.796922282709694,
        4.7969421027708465,
        4.796961922831999,
        4.796981742893152,
        4.7970015629543035,
        4.797021383015457,
        4.797041203076609,
        4.797061023137761,
        4.797080843198914,
        4.797100663260066,
        4.797120483321218,
        4.797140303382371,
        4.797160123443524,
        4.797179943504676,
        4.797199763565829,
        4.797219583626981,
        4.797239403688133,
        4.797259223749286,
        4.7972790438104385,
        4.797298863871591,
        4.797318683932743,
        4.797338503993895,
        4.797358324055048,
        4.797378144116201,
        4.797397964177353,
        4.797417784238506,
        4.797437604299658,
        4.79745742436081,
        4.797477244421962,
        4.797497064483116,
        4.797516884544268,
        4.79753670460542,
        4.797556524666573,
        4.797576344727725,
        4.797596164788877,
        4.79761598485003,
        4.797635804911183,
        4.797655624972335,
        4.797675445033487,
        4.79769526509464,
        4.797715085155792,
        4.797734905216945,
        4.797754725278098,
        4.79777454533925,
        4.797794365400402,
        4.797814185461554,
        4.797834005522707,
        4.79785382558386,
        4.797873645645012,
        4.7978934657061645,
        4.797913285767317,
        4.797933105828469,
        4.797952925889621,
        4.7979727459507755,
        4.797992566011927,
        4.798012386073079,
        4.7980322061342315,
        4.798052026195384,
        4.798071846256536,
        4.798091666317689,
        4.798111486378842,
        4.798131306439994,
        4.798151126501146,
        4.798170946562299,
        4.798190766623451,
        4.798210586684604,
        4.798230406745756,
        4.7983691471738235,
        4.798388967234976,
        4.798408787296128,
        4.79842860735728,
        4.798448427418434,
        4.798468247479586,
        4.798488067540738,
        4.7985078876018905,
        4.798527707663043,
        4.798547527724195,
        4.798567347785348,
        4.798587167846501,
        4.798606987907653,
        4.798626807968805,
        4.798646628029958,
        4.79866644809111,
        4.798686268152263,
        4.798706088213415,
        4.798725908274568,
        4.79874572833572,
        4.798765548396872,
        4.798785368458025,
        4.798805188519178,
        4.79882500858033,
        4.798844828641482,
        4.798864648702635,
        4.798884468763787,
        4.798904288824939,
        4.7989241088860926,
        4.798943928947245,
        4.798963749008397,
        4.7989835690695495,
        4.799003389130702,
        4.799023209191854,
        4.799043029253007,
        4.79906284931416,
        4.799082669375312,
        4.799102489436464,
        4.7991223094976165,
        4.799142129558769,
        4.799161949619922,
        4.799181769681074,
        4.799201589742227,
        4.799221409803379,
        4.799241229864531,
        4.799261049925684,
        4.799280869986837,
        4.799300690047989,
        4.799320510109141,
        4.799340330170294,
        4.799360150231446,
        4.799379970292598,
        4.7993997903537515,
        4.799419610414904,
        4.799439430476056,
        4.7994592505372085,
        4.799479070598361,
        4.799498890659513,
        4.799518710720665,
        4.799538530781819,
        4.799558350842971,
        4.799578170904123,
        4.7995979909652755,
        4.799617811026428,
        4.799637631087581,
        4.799657451148733,
        4.799677271209886,
        4.799697091271038,
        4.79971691133219,
        4.799736731393342,
        4.799756551454496,
        4.799776371515648,
        4.7997961915768,
        4.799816011637953,
        4.799835831699105,
        4.799855651760257,
        4.7998754718214105,
        4.799895291882563,
        4.799915111943715,
        4.799934932004867,
        4.79995475206602,
        4.799974572127173,
        4.799994392188325,
        4.8000142122494776,
        4.80003403231063,
        4.800053852371782,
        4.8000736724329345,
        4.800093492494087,
        4.80011331255524,
        4.800133132616392,
        4.800152952677545,
        4.800172772738697,
        4.800192592799849,
        4.800212412861002,
        4.800232232922155,
        4.800252052983307,
        4.800271873044459,
        4.800291693105611,
        4.800311513166764,
        4.800331333227916,
        4.8003511532890695,
        4.800370973350222,
        4.800390793411374,
        4.800410613472526,
        4.800430433533679,
        4.800450253594832,
        4.800470073655984,
        4.8004898937171365,
        4.800509713778288,
        4.800529533839441,
        4.8005493539005935,
        4.800569173961746,
        4.800588994022899,
        4.800608814084051,
        4.800628634145204,
        4.800648454206356,
        4.800668274267508,
        4.800688094328661,
        4.800707914389814,
        4.800727734450966,
        4.800747554512118,
        4.800767374573271,
        4.800787194634423,
        4.800807014695575,
        4.8008268347567284,
        4.80084665481788,
        4.800866474879033,
        4.800886294940185,
        4.800906115001338,
        4.800925935062491,
        4.800945755123643,
        4.8009655751847955,
        4.800985395245948,
        4.8010052153071,
        4.801025035368252,
        4.801044855429405,
        4.801064675490557,
        4.80108449555171,
        4.8011043156128625,
        4.801124135674015,
        4.801143955735167,
        4.80116377579632,
        4.801183595857473,
        4.801203415918625,
        4.801223235979777,
        4.80124305604093,
        4.801262876102082,
        4.801282696163233,
        4.801302516224387,
        4.80132233628554,
        4.801342156346692,
        4.801361976407844,
        4.801381796468997,
        4.80140161653015,
        4.801421436591302,
        4.801520536897064,
        4.801540356958217,
        4.801560177019369,
        4.8015799970805215,
        4.801599817141674,
        4.801619637202825,
        4.801639457263979,
        4.801659277325132,
        4.801679097386284,
        4.801698917447436,
        4.801718737508588,
        4.801738557569741,
        4.801758377630894,
        4.801778197692046,
        4.801798017753199,
        4.801817837814351,
        4.802016038425876,
        4.802035858487028,
        4.80205567854818,
        4.802075498609333,
        4.802095318670485,
        4.802115138731638,
        4.802134958792791,
        4.802154778853943,
        4.802174598915094,
        4.8021944189762475,
        4.8022142390374,
        4.802234059098553,
        4.802253879159705,
        4.802273699220857,
        4.80229351928201,
        4.802313339343162,
        4.802333159404315,
        4.802352979465468,
        4.80237279952662,
        4.8023926195877715,
        4.802412439648925,
        4.802432259710077,
        4.802452079771229,
        4.8024718998323825,
        4.802491719893534,
        4.802511539954687,
        4.8025313600158395,
        4.802551180076992,
        4.802571000138144,
        4.802590820199297,
        4.802610640260449,
        4.802630460321602,
        4.802709740566212,
        4.8027295606273634,
        4.802749380688517,
        4.802769200749669,
        4.802789020810821,
        4.802808840871974,
        4.802828660933126,
        4.802848480994279,
        4.802868301055431,
        4.802888121116584,
        4.802907941177736,
        4.802927761238888,
        4.802947581300041,
        4.802967401361194,
        4.802987221422346,
        4.803007041483498,
        4.803026861544651,
        4.803046681605802,
        4.803066501666956,
        4.803086321728109,
        4.803106141789261,
        4.803125961850413,
        4.8031457819115655,
        4.803165601972717,
        4.803185422033871,
        4.803205242095023,
        4.803225062156176,
        4.803244882217328,
        4.803264702278479,
        4.8032845223396325,
        4.803304342400786,
        4.803324162461938,
        4.80334398252309,
        4.803363802584243,
        4.803383622645394,
        4.803403442706547,
        4.8034232627677005,
        4.803443082828853,
        4.803462902890005,
        4.8034827229511565,
        4.803502543012309,
        4.803522363073462,
        4.803542183134615,
        4.8035620031957675,
        4.80358182325692,
        4.803601643318071,
        4.8036214633792245,
        4.803641283440377,
        4.80366110350153,
        4.803680923562682,
        4.803700743623835,
        4.803720563684986,
        4.803740383746139,
        4.8037602038072915,
        4.803780023868445,
        4.803799843929597,
        4.8038196639907484,
        4.803839484051902,
        4.803859304113054,
        4.803879124174206,
        4.8038989442353595,
        4.803918764296512,
        4.803938584357663,
        4.803958404418816,
        4.803978224479969,
        4.803998044541121,
        4.804017864602274,
        4.804037684663426,
        4.804057504724578,
        4.804077324785731,
        4.804097144846883,
        4.804116964908036,
        4.804136784969189,
        4.80415660503034,
        4.804176425091494,
        4.804196245152646,
        4.804216065213798,
        4.8042358852749505,
        4.804255705336103,
        4.804275525397255,
        4.804295345458408,
        4.804315165519561,
        4.804334985580713,
        4.804354805641865,
        4.8043746257030175,
        4.804394445764171,
        4.804414265825323,
        4.804434085886475,
        4.804453905947628,
        4.804473726008779,
        4.804493546069932,
        4.8045133661310855,
        4.804533186192238,
        4.80455300625339,
        4.804572826314542,
        4.804592646375694,
        4.804612466436848,
        4.804632286498,
        4.8046521065591525,
        4.804671926620305,
        4.804691746681456,
        4.804711566742609,
        4.804731386803763,
        4.804751206864915,
        4.804771026926067,
        4.80479084698722,
        4.804810667048371,
        4.804830487109523,
        4.804850307170677,
        4.80487012723183,
        4.804889947292982,
        4.804909767354134,
        4.804929587415286,
        4.804949407476439,
        4.804969227537592,
        4.8049890475987445,
        4.805008867659897,
        4.805028687721048,
        4.8050485077822005,
        4.805068327843354,
        4.805088147904507,
        4.805107967965659,
        4.8051277880268115,
        4.805147608087963,
        4.805167428149116,
        4.805187248210268,
        4.805207068271422,
        4.805226888332574,
        4.805246708393725,
        4.805266528454878,
        4.805286348516031,
        4.805306168577183,
        4.805325988638336,
        4.805345808699489,
        4.80536562876064,
        4.805385448821792,
        4.805405268882946,
        4.805425088944098,
        4.805444909005251,
        4.80560346949447,
        4.805623289555623,
        4.805643109616775,
        4.805662929677927,
        4.805682749739081,
        4.805702569800232,
        4.805722389861385,
        4.8057422099225375,
        4.80576202998369,
        4.805781850044842,
        4.8058016701059945,
        4.805821490167147,
        4.8058413102283,
        4.805861130289452,
        4.805880950350605,
        4.805900770411757,
        4.805920590472909,
        4.805940410534062,
        4.805960230595215,
        4.805980050656367,
        4.805999870717519,
        4.806019690778671,
        4.806039510839824,
        4.806059330900977,
        4.8060791509621295,
        4.806098971023282,
        4.806118791084434,
        4.8061386111455855,
        4.806158431206739,
        4.806178251267892,
        4.806198071329044,
        4.8062178913901965,
        4.806237711451348,
        4.8062575315125,
        4.806277351573654,
        4.806297171634807,
        4.806316991695959,
        4.806336811757111,
        4.806356631818263,
        4.806376451879415,
        4.806396271940569,
        4.806416092001721,
        4.806435912062874,
        4.806455732124025,
        4.806475552185177,
        4.806495372246331,
        4.806515192307484,
        4.806535012368636,
        4.806554832429788,
        4.80657465249094,
        4.806594472552092,
        4.806614292613245,
        4.8066341126743986,
        4.806653932735551,
        4.806673752796703,
        4.806693572857855,
        4.806713392919007,
        4.80673321298016,
        4.806753033041313,
        4.806772853102466,
        4.806792673163617,
        4.806812493224769,
        4.8068323132859225,
        4.806852133347075,
        4.806871953408228,
        4.80689177346938,
        4.806911593530532,
        4.806931413591684,
        4.806951233652837,
        4.80697105371399,
        4.806990873775143,
        4.807010693836294,
        4.8070305138974465,
        4.8070503339586,
        4.807070154019752,
        4.807089974080904,
        4.8071097941420575,
        4.807129614203209,
        4.807149434264361,
        4.8071692543255145,
        4.807189074386667,
        4.807208894447819,
        4.807228714508971,
        4.807248534570124,
        4.807268354631276,
        4.807288174692429,
        4.807466555242801,
        4.807486375303953,
        4.807506195365106,
        4.807526015426259,
        4.807545835487411,
        4.807565655548562,
        4.807585475609716,
        4.807605295670869,
        4.807625115732021,
        4.807644935793173,
        4.807664755854325,
        4.807684575915477,
        4.80770439597663,
        4.8077242160377835,
        4.807744036098936,
        4.807763856160088,
        4.80778367622124,
        4.807803496282392,
        4.807823316343546,
        4.807843136404698,
        4.807862956465851,
        4.807882776527003,
        4.807902596588154,
        4.807922416649307,
        4.807942236710461,
        4.807962056771613,
        4.807981876832765,
        4.808001696893917,
        4.808021516955069,
        4.808041337016221,
        4.8080611570773755,
        4.808080977138528,
        4.80810079719968,
        4.8081206172608315,
        4.808140437321984,
        4.808160257383137,
        4.80818007744429,
        4.8081998975054425,
        4.808219717566594,
        4.808239537627746,
        4.808259357688899,
        4.808279177750052,
        4.808298997811205,
        4.808318817872357,
        4.808338637933509,
        4.808358457994661,
        4.808378278055814,
        4.8083980981169665,
        4.80841791817812,
        4.808437738239271,
        4.808457558300423,
        4.808477378361576,
        4.808497198422729,
        4.808517018483881,
        4.808536838545034,
        4.808556658606186,
        4.808576478667338,
        4.8085962987284905,
        4.808616118789644,
        4.808635938850796,
        4.808655758911949,
        4.808675578973101,
        4.808695399034253,
        4.808715219095406,
        4.808735039156558,
        4.808754859217711,
        4.808774679278863,
        4.808794499340015,
        4.808814319401168,
        4.808834139462321,
        4.808853959523473,
        4.8088737795846255,
        4.808893599645778,
        4.80891341970693,
        4.808933239768083,
        4.808953059829236,
        4.808972879890388,
        4.808992699951539,
        4.8090125200126925,
        4.809032340073845,
        4.809052160134998,
        4.80907198019615,
        4.8092107206242165,
        4.809230540685369,
        4.809250360746522,
        4.809270180807675,
        4.8092900008688275,
        4.80930982092998,
        4.809329640991131,
        4.809349461052284,
        4.809369281113437,
        4.80938910117459,
        4.809408921235742,
        4.809428741296894,
        4.809448561358046,
        4.809468381419198,
        4.809488201480352,
        4.809508021541505,
        4.809527841602657,
        4.809547661663808,
        4.809567481724961,
        4.809587301786113,
        4.809607121847267,
        4.809626941908419,
        4.809646761969572,
        4.809666582030723,
        4.809745862275334,
        4.809765682336486,
        4.809785502397638,
        4.80980532245879,
        4.809825142519943,
        4.809844962581097,
        4.809864782642249,
        4.8098846027034,
        4.809904422764553,
        4.809924242825705,
        4.809944062886858,
        4.809963882948011,
        4.809983703009163,
        4.810003523070315,
        4.810023343131467,
        4.810043163192621,
        4.810062983253773,
        4.810082803314926,
        4.8101026233760775,
        4.81012244343723,
        4.810142263498382,
        4.810162083559535,
        4.810181903620688,
        4.81020172368184,
        4.810221543742992,
        4.810320644048755,
        4.810340464109907,
        4.810360284171059,
        4.8103801042322125,
        4.810399924293365,
        4.810419744354516,
        4.8104395644156694,
        4.810459384476822,
        4.810479204537975,
        4.810499024599127,
        4.81051884466028,
        4.810756685394108,
        4.8107765054552605,
        4.810796325516414,
        4.810816145577567,
        4.810835965638719,
        4.8108557856998715,
        4.810875605761023,
        4.810895425822175,
        4.810915245883328,
        4.810935065944482,
        4.810954886005634,
        4.810974706066785,
        4.810994526127938,
        4.8111927267394625,
        4.811212546800615,
        4.811232366861767,
        4.8112521869229194,
        4.8112720069840735,
        4.811291827045226,
        4.813035992426641,
        4.814978358419582,
        4.814998178480734,
        4.8150179985418875,
        4.81503781860304,
        4.815057638664192,
        4.815077458725344,
        4.815097278786497,
        4.815117098847649,
        4.815136918908802,
        4.815156738969954,
        4.815176559031107,
        4.815196379092259,
        4.8152161991534115,
        4.815236019214564,
        4.815255839275717,
        4.815275659336868,
        4.815295479398022,
        4.815315299459174,
        4.815335119520326,
        4.815354939581479,
        4.815374759642631,
        4.815394579703783,
        4.815414399764936,
        4.815434219826089,
        4.815454039887241,
        4.815473859948394,
        4.815493680009546,
        4.815513500070698,
        4.815533320131851,
        4.815553140193003,
        4.815572960254157,
        4.815592780315309,
        4.81561260037646,
        4.815632420437613,
        4.815652240498766,
        4.815672060559918,
        4.815691880621071,
        4.815711700682223,
        4.815731520743375,
        4.815751340804527,
        4.815771160865681,
        4.815790980926833,
        4.815810800987986,
        4.8158306210491375,
        4.81585044111029,
        4.815870261171442,
        4.815890081232595,
        4.8159099012937485,
        4.8159297213549,
        4.815949541416052,
        4.815969361477205,
        4.815989181538357,
        4.81600900159951,
        4.816286482455644,
        4.8163063025167965,
        4.816326122577949,
        4.816345942639101,
        4.816365762700254,
        4.816385582761407,
        4.816405402822559,
        4.816425222883711,
        4.8164450429448635,
        4.816464863006017,
        4.816484683067169,
        4.816504503128321,
        4.816524323189474,
        4.816544143250626,
        4.816563963311778,
        4.816583783372931,
        4.816603603434084,
        4.816623423495236,
        4.816643243556388,
        4.816663063617541,
        4.816682883678694,
        4.816702703739845,
        4.8167225238009985,
        4.816742343862151,
        4.816762163923303,
        4.8167819839844555,
        4.816801804045609,
        4.81682162410676,
        4.816841444167913,
        4.816861264229066,
        4.816881084290218,
        4.816900904351371,
        4.8169207244125225,
        4.816940544473675,
        4.816960364534828,
        4.81698018459598,
        4.817000004657133,
        4.817019824718286,
        4.817039644779437,
        4.8170594648405896,
        4.817079284901743,
        4.817099104962895,
        4.817118925024047,
        4.8171387450852,
        4.817158565146352,
        4.817178385207504,
        4.8171982052686575,
        4.81721802532981,
        4.817237845390963,
        4.817257665452114,
        4.817277485513267,
        4.817297305574419,
        4.817317125635572,
        4.8173369456967245,
        4.817356765757877,
        4.817376585819029,
        4.8173964058801815,
        4.817416225941334,
        4.817436046002487,
        4.81745586606364,
        4.817475686124792,
        4.817495506185944,
        4.817515326247096,
        4.8175351463082485,
        4.817554966369402,
        4.817574786430555,
        4.817594606491706,
        4.817614426552859,
        4.817634246614011,
        4.817654066675163,
        4.8176738867363165,
        4.817693706797469,
        4.820428875236509,
        4.8234018844093764,
        4.823421704470528,
        4.823441524531681,
        4.823461344592833,
        4.823481164653987,
        4.823500984715139,
        4.823520804776291,
        4.823540624837443,
        4.823560444898596,
        4.823580264959748,
        4.8236000850209,
        4.823619905082054,
        4.823639725143205,
        4.823659545204358,
        4.8236793652655106,
        4.823699185326663,
        4.823719005387816,
        4.823738825448968,
        4.82375864551012,
        4.823778465571273,
        4.823798285632425,
        4.823818105693578,
        4.82383792575473,
        4.823857745815882,
        4.823877565877035,
        4.823897385938188,
        4.82391720599934,
        4.823937026060492,
        4.8239568461216455,
        4.823976666182797,
        4.82399648624395,
        4.8240163063051025,
        4.824036126366255,
        4.824055946427407,
        4.824075766488559,
        4.824095586549713,
        4.824115406610865,
        4.824135226672017,
        4.8241550467331695,
        4.824174866794322,
        4.824194686855474,
        4.824214506916627,
        4.82423432697778,
        4.824254147038932,
        4.824273967100084,
        4.824293787161236,
        4.824313607222389,
        4.824333427283542,
        4.824353247344694,
        4.824373067405847,
        4.824392887466999,
        4.82441270752815,
        4.8244325275893045,
        4.824452347650457,
        4.824472167711609,
        4.8244919877727614,
        4.824511807833914,
        4.824531627895065,
        4.824551447956219,
        4.824571268017372,
        4.824591088078524,
        4.824610908139676,
        4.824630728200828,
        4.824650548261981,
        4.824670368323134,
        4.824690188384286,
        4.824710008445439,
        4.824729828506591,
        4.824749648567742,
        4.8247694686288956,
        4.824789288690049,
        4.824809108751201,
        4.824828928812353,
        4.824848748873505,
        4.824868568934657,
        4.82488838899581,
        4.8249082090569635,
        4.824928029118116,
        4.824947849179268,
        4.8249676692404195,
        4.824987489301573,
        4.825007309362725,
        4.825027129423878,
        4.8250469494850305,
        4.825066769546182,
        4.825086589607334,
        4.8251064096684875,
        4.82512622972964,
        4.825146049790793,
        4.825165869851945,
        4.825185689913097,
        4.82520550997425,
        4.825225330035402,
        4.8252451500965545,
        4.825264970157708,
        4.825284790218859,
        4.8253046102800115,
        4.8255820911361464,
        4.825601911197299,
        4.825621731258451,
        4.825641551319603,
        4.825661371380757,
        4.825681191441909,
        4.825701011503061,
        4.8257208315642135,
        4.825740651625366,
        4.825760471686519,
        4.825780291747671,
        4.825800111808824,
        4.825819931869976,
        4.825839751931127,
        4.8258595719922806,
        4.825879392053434,
        4.825899212114586,
        4.825919032175738,
        4.825938852236891,
        4.825958672298042,
        4.825978492359196,
        4.8259983124203485,
        4.826018132481501,
        4.826037952542653,
        4.8260577726038045,
        4.826077592664957,
        4.826097412726111,
        4.826117232787263,
        4.8261370528484155,
        4.826156872909568,
        4.826176692970719,
        4.826196513031872,
        4.826216333093026,
        4.826236153154178,
        4.82625597321533,
        4.826275793276482,
        4.826295613337634,
        4.826315433398787,
        4.82633525345994,
        4.826355073521093,
        4.826374893582245,
        4.8263947136433965,
        4.826414533704549,
        4.826434353765702,
        4.826454173826855,
        4.8264739938880075,
        4.82649381394916,
        4.826513634010311,
        4.826533454071464,
        4.826553274132617,
        4.82657309419377,
        4.826592914254922,
        4.826612734316074,
        4.826632554377226,
        4.826652374438379,
        4.826672194499531,
        4.826692014560685,
        4.826711834621837,
        4.826731654682988,
        4.826751474744141,
        4.826771294805294,
        4.826791114866446,
        4.826810934927599,
        4.826830754988751,
        4.826850575049903,
        4.826870395111056,
        4.826890215172209,
        4.826910035233361,
        4.826929855294514,
        4.8269496753556655,
        4.826969495416818,
        4.826989315477971,
        4.827009135539123,
        4.827028955600276,
        4.827048775661428,
        4.82706859572258,
        4.8270884157837335,
        4.827108235844886,
        4.827128055906038,
        4.82714787596719,
        4.827167696028343,
        4.827187516089495,
        4.827207336150648,
        4.8272271562118005,
        4.827246976272953,
        4.827266796334104,
        4.8272866163952575,
        4.827306436456411,
        4.827326256517563,
        4.827346076578715,
        4.827365896639868,
        4.827385716701019,
        4.827405536762172,
        4.827425356823325,
        4.827445176884478,
        4.82746499694563,
        4.827484817006782,
        4.827504637067934,
        4.827524457129087,
        4.82754427719024,
        4.8275640972513925,
        4.827583917312545,
        4.827603737373696,
        4.8276235574348485,
        4.827643377496003,
        4.827663197557155,
        4.827683017618307,
        4.8277028376794595,
        4.827722657740611,
        4.827742477801763,
        4.827762297862917,
        4.827841578107526,
        4.827861398168679,
        4.827881218229832,
        4.827901038290984,
        4.827920858352137,
        4.827940678413288,
        4.82796049847444,
        4.827980318535594,
        4.828000138596747,
        4.828019958657899,
        4.8280397787190505,
        4.828059598780203,
        4.828079418841355,
        4.828099238902508,
        4.828119058963662,
        4.828138879024814,
        4.828158699085965,
        4.828178519147118,
        4.828198339208271,
        4.828218159269423,
        4.828237979330576,
        4.828257799391728,
        4.82827761945288,
        4.828297439514032,
        4.8283172595751855,
        4.828337079636338,
        4.828356899697491,
        4.8283767197586425,
        4.828396539819795,
        4.828416359880948,
        4.8284361799421,
        4.828456000003253,
        4.828475820064406,
        4.828495640125557,
        4.8285154601867095,
        4.828535280247863,
        4.828555100309015,
        4.828574920370167,
        4.82859474043132,
        4.828614560492472,
        4.828634380553625,
        4.8286542006147775,
        4.82867402067593,
        4.828693840737082,
        4.828713660798234,
        4.828733480859387,
        4.82875330092054,
        4.828773120981692,
        4.8287929410428445,
        4.828812761103996,
        4.828832581165149,
        4.828852401226301,
        4.828872221287455,
        4.828892041348607,
        4.82924880244935,
        4.829268622510503,
        4.829288442571655,
        4.829308262632809,
        4.829328082693961,
        4.829347902755114,
        4.829367722816265,
        4.829387542877417,
        4.82940736293857,
        4.829427182999724,
        4.829447003060876,
        4.829466823122028,
        4.82948664318318,
        4.829506463244332,
        4.829526283305485,
        4.8295461033666385,
        4.829565923427791,
        4.829585743488942,
        4.8296055635500945,
        4.829625383611247,
        4.8296452036724,
        4.829665023733553,
        4.8296848437947055,
        4.829704663855857,
        4.829724483917009,
        4.8297443039781625,
        4.829764124039315,
        4.829783944100468,
        4.829803764161619,
        4.829823584222772,
        4.829843404283924,
        4.829863224345077,
        4.8298830444062295,
        4.829902864467383,
        4.829922684528534,
        4.829942504589686,
        4.82996232465084,
        4.829982144711992,
        4.830001964773144,
        4.830021784834297,
        4.830041604895449,
        4.830061424956601,
        4.830081245017754,
        4.830101065078907,
        4.830120885140059,
        4.830140705201211,
        4.830160525262364,
        4.830180345323516,
        4.830200165384669,
        4.830219985445821,
        4.830239805506973,
        4.830259625568126,
        4.830279445629278,
        4.8302992656904316,
        4.830319085751584,
        4.830338905812736,
        4.830358725873888,
        4.830378545935041,
        4.830398365996193,
        4.830418186057346,
        4.830438006118499,
        4.830457826179651,
        4.830477646240802,
        4.8304974663019555,
        4.830517286363109,
        4.830537106424261,
        4.830556926485413,
        4.830576746546565,
        4.830596566607717,
        4.83061638666887,
        4.8306362067300235,
        4.830656026791176,
        4.830675846852328,
        4.8306956669134795,
        4.830715486974632,
        4.830735307035785,
        4.830755127096938,
        4.8307749471580905,
        4.830794767219242,
        4.830814587280394,
        4.830834407341547,
        4.830854227402701,
        4.830874047463853,
        4.830893867525005,
        4.830913687586157,
        4.830933507647309,
        4.830953327708461,
        4.830973147769615,
        4.830992967830768,
        4.831012787891919,
        4.831032607953071,
        4.831052428014224,
        4.831072248075377,
        4.83109206813653,
        4.8311118881976824,
        4.831131708258834,
        4.831151528319986,
        4.8311713483811385,
        4.831191168442292,
        4.831210988503445,
        4.831230808564596,
        4.831250628625749,
        4.831270448686901,
        4.831290268748053,
        4.831310088809206,
        4.83132990887036,
        4.831349728931511,
        4.831369548992663,
        4.831389369053816,
        4.831409189114969,
        4.831429009176121,
        4.831448829237274,
        4.831468649298426,
        4.831488469359578,
        4.83150828942073,
        4.831528109481884,
        4.831547929543036,
        4.831567749604188,
        4.8315875696653405,
        4.831607389726493,
        4.831627209787646,
        4.831647029848798,
        4.831666849909951,
        4.831686669971103,
        4.831706490032255,
        4.831726310093408,
        4.831746130154561,
        4.831765950215713,
        4.8317857702768645,
        4.831805590338018,
        4.83182541039917,
        4.831845230460323,
        4.8318650505214755,
        4.831884870582628,
        4.831904690643779,
        4.8319245107049325,
        4.831944330766085,
        4.831964150827238,
        4.83198397088839,
        4.832003790949542,
        4.832023611010694,
        4.832043431071847,
        4.8320632511329995,
        4.832083071194153,
        4.832102891255305,
        4.832122711316456,
        4.832142531377609,
        4.832162351438762,
        4.832182171499915,
        4.8322019915610674,
        4.832221811622219,
        4.832241631683371,
        4.8322614517445235,
        4.832281271805677,
        4.83230109186683,
        4.832320911927982,
        4.832340731989134,
        4.832360552050286,
        4.832380372111438,
        4.832400192172592,
        4.832420012233745,
        4.832439832294897,
        4.832459652356048,
        4.832479472417201,
        4.832499292478353,
        4.832875873640251,
        4.832895693701403,
        4.832915513762555,
        4.832935333823707,
        4.8329551538848605,
        4.832974973946013,
        4.832994794007165,
        4.8330146140683174,
        4.83303443412947,
        4.833054254190622,
        4.833074074251775,
        4.833093894312928,
        4.83311371437408,
        4.833133534435232,
        4.8331533544963845,
        4.833173174557538,
        4.83319299461869,
        4.833212814679843,
        4.833232634740995,
        4.833252454802147,
        4.833272274863299,
        4.833292094924452,
        4.833311914985605,
        4.833331735046756,
        4.83351011559713,
        4.833529935658282,
        4.833549755719433,
        4.833569575780586,
        4.833589395841739,
        4.833609215902891,
        4.833629035964044,
        4.833648856025197,
        4.833668676086348,
        4.833688496147501,
        4.833708316208654,
        4.833728136269807,
        4.833747956330959,
        4.8337677763921105,
        4.833787596453263,
        4.833807416514415,
        4.833827236575568,
        4.8338470566367215,
        4.833866876697874,
        4.833886696759025,
        4.833906516820178,
        4.833926336881331,
        4.833946156942483,
        4.833965977003636,
        4.833985797064788,
        4.83400561712594,
        4.834025437187092,
        4.834045257248245,
        4.834065077309399,
        4.834084897370551,
        4.8341047174317024,
        4.834124537492855,
        4.834144357554007,
        4.83416417761516,
        4.8341839976763135,
        4.834203817737465,
        4.834223637798617,
        4.8342434578597695,
        4.834263277920922,
        4.834283097982075,
        4.834302918043228,
        4.83432273810438,
        4.834342558165532,
        4.834362378226684,
        4.8343821982878366,
        4.834402018348991,
        4.834421838410143,
        4.834441658471294,
        4.834461478532447,
        4.834481298593599,
        4.834501118654752,
        4.8345209387159045,
        4.834540758777057,
        4.834560578838209,
        4.834580398899361,
        4.834600218960514,
        4.834620039021667,
        4.83463985908282,
        4.8346596791439715,
        4.834679499205124,
        4.834699319266276,
        4.8347191393274285,
        4.834738959388582,
        4.834758779449734,
        4.834778599510886,
        4.834798419572039,
        4.834818239633191,
        4.834838059694344,
        4.834857879755496,
        4.834877699816649,
        4.834897519877801,
        4.834917339938953,
        4.834937160000106,
        4.834956980061259,
        4.83497680012241,
        4.834996620183563,
        4.835016440244716,
        4.835036260305868,
        4.835056080367021,
        4.835075900428174,
        4.835095720489325,
        4.835115540550478,
        4.8351353606116305,
        4.835155180672783,
        4.835175000733936,
        4.8351948207950874,
        4.83521464085624,
        4.835234460917393,
        4.835254280978545,
        4.835274101039698,
        4.835293921100851,
        4.835313741162002,
        4.8353335612231545,
        4.835353381284308,
        4.83537320134546,
        4.835393021406613,
        4.8354128414677655,
        4.835432661528917,
        4.835452481590069,
        4.8354723016512215,
        4.835492121712375,
        4.835511941773528,
        4.835531761834679,
        4.835551581895832,
        4.835571401956984,
        4.835591222018137,
        4.835670502262746,
        4.835690322323899,
        4.835710142385052,
        4.835729962446205,
        4.8357497825073565,
        4.835769602568509,
        4.835789422629661,
        4.8358092426908135,
        4.835829062751967,
        4.83584888281312,
        4.835868702874271,
        4.835888522935424,
        4.835908342996576,
        4.835928163057728,
        4.835947983118882,
        4.835967803180034,
        4.835987623241186,
        4.836007443302338,
        4.836027263363491,
        4.836047083424643,
        4.836066903485797,
        4.8360867235469485,
        4.836522764892302,
        4.836542584953455,
        4.836562405014607,
        4.83658222507576,
        4.836602045136912,
        4.836621865198065,
        4.836641685259217,
        4.83666150532037,
        4.836681325381522,
        4.8367011454426745,
        4.836720965503828,
        4.836740785564979,
        4.836760605626131,
        4.836780425687285,
        4.836800245748437,
        4.836820065809589,
        4.836839885870742,
        4.836859705931894,
        4.836879525993046,
        4.836899346054199,
        4.836919166115352,
        4.836938986176505,
        4.836958806237656,
        4.836978626298809,
        4.836998446359961,
        4.837018266421114,
        4.837038086482266,
        4.83705790654342,
        4.837077726604571,
        4.837097546665723,
        4.837117366726876,
        4.837137186788029,
        4.837157006849181,
        4.8371768269103335,
        4.837196646971486,
        4.837216467032638,
        4.83723628709379,
        4.837256107154944,
        4.837275927216097,
        4.837295747277248,
        4.8373155673384005,
        4.837335387399553,
        4.837355207460705,
        4.837375027521858,
        4.8373948475830115,
        4.837414667644163,
        4.837434487705315,
        4.837454307766468,
        4.83747412782762,
        4.837493947888774,
        4.837513767949925,
        4.837533588011078,
        4.83755340807223,
        4.837573228133382,
        4.837593048194535,
        4.837612868255689,
        4.83763268831684,
        4.837652508377992,
        4.837672328439145,
        4.837692148500297,
        4.83771196856145,
        4.837731788622603,
        4.837751608683755,
        4.837771428744907,
        4.8377912488060595,
        4.837811068867212,
        4.837830888928365,
        4.837850708989517,
        4.83787052905067,
        4.837890349111822,
        4.837910169172974,
        4.8379299892341265,
        4.837949809295279,
        4.837969629356432,
        4.837989449417584,
        4.838009269478737,
        4.838029089539889,
        4.838048909601042,
        4.838068729662194,
        4.838088549723347,
        4.838108369784499,
        4.838128189845651,
        4.838148009906804,
        4.838167829967956,
        4.838187650029108,
        4.8382074700902615,
        4.838227290151414,
        4.838247110212566,
        4.838266930273719,
        4.838286750334871,
        4.838306570396023,
        4.838326390457176,
        4.838346210518329,
        4.838366030579481,
        4.838385850640634,
        4.8384056707017855,
        4.838425490762938,
        4.838445310824091,
        4.838465130885243,
        4.838484950946396,
        4.838504771007548,
        4.8385245910687,
        4.838544411129853,
        4.838564231191006,
        4.838584051252158,
        4.838603871313311,
        4.838623691374463,
        4.838643511435615,
        4.838663331496767,
        4.839525504156899,
        4.840665157673166,
        4.840684977734318,
        4.840704797795471,
        4.8407246178566234,
        4.840744437917776,
        4.840764257978928,
        4.84078407804008,
        4.840803898101233,
        4.840823718162386,
        4.840843538223538,
        4.8408633582846905,
        4.840883178345843,
        4.840902998406995,
        4.840922818468147,
        4.840942638529301,
        4.840962458590453,
        4.840982278651605,
        4.8410020987127576,
        4.84102191877391,
        4.841041738835062,
        4.841061558896215,
        4.841081378957368,
        4.84110119901852,
        4.841121019079672,
        4.841140839140824,
        4.841160659201977,
        4.84118047926313,
        4.841200299324282,
        4.841220119385435,
        4.841239939446587,
        4.841259759507739,
        4.841279579568892,
        4.841299399630045,
        4.841319219691197,
        4.8413390397523495,
        4.841358859813502,
        4.841378679874654,
        4.841398499935806,
        4.84141831999696,
        4.841438140058112,
        4.841457960119264,
        4.8414777801804165,
        4.841497600241569,
        4.841517420302721,
        4.841537240363874,
        4.841557060425027,
        4.841576880486179,
        4.841596700547331,
        4.841616520608484,
        4.841636340669636,
        4.84191382152577,
        4.841933641586923,
        4.8419534616480755,
        4.841973281709228,
        4.84199310177038,
        4.842012921831533,
        4.842032741892686,
        4.842052561953838,
        4.84207238201499,
        4.842924644644546,
        4.842944464705698,
        4.842964284766851,
        4.842984104828004,
        4.843003924889156,
        4.843023744950307,
        4.8430435650114605,
        4.843063385072613,
        4.843083205133766,
        4.843103025194918,
        4.84312284525607,
        4.843142665317223,
        4.843162485378375,
        4.8431823054395275,
        4.843202125500681,
        4.843221945561833,
        4.8432417656229845,
        4.843261585684138,
        4.8459769340620245,
        4.8490490435406555,
        4.849068863601807,
        4.849088683662959,
        4.8491085037241115,
        4.849128323785266,
        4.849148143846418,
        4.84916796390757,
        4.849187783968722,
        4.849207604029874,
        4.849227424091027,
        4.84924724415218,
        4.849267064213333,
        4.849286884274485,
        4.849306704335636,
        4.849326524396789,
        4.849346344457942,
        4.849366164519095,
        4.849385984580247,
        4.849405804641399,
        4.849425624702551,
        4.849445444763703,
        4.849465264824857,
        4.84948508488601,
        4.849504904947162,
        4.8495247250083136,
        4.849544545069466,
        4.849564365130619,
        4.849584185191771,
        4.849604005252925,
        4.849623825314076,
        4.849643645375228,
        4.849663465436381,
        4.849683285497534,
        4.849703105558686,
        4.849722925619839,
        4.849742745680991,
        4.849762565742143,
        4.849782385803296,
        4.8498022058644485,
        4.849822025925601,
        4.849841845986753,
        4.8498616660479055,
        4.849881486109058,
        4.849901306170211,
        4.849921126231363,
        4.849940946292516,
        4.849960766353668,
        4.84998058641482,
        4.850000406475973,
        4.850020226537126,
        4.850040046598278,
        4.8500598666594295,
        4.850079686720583,
        4.850099506781735,
        4.850119326842888,
        4.8501391469040405,
        4.850158966965193,
        4.850178787026344,
        4.850198607087497,
        4.85021842714865,
        4.850238247209803,
        4.850258067270955,
        4.8502778873321075,
        4.850297707393259,
        4.850317527454412,
        4.850337347515565,
        4.850357167576718,
        4.85037698763787,
        4.850396807699021,
        4.850416627760174,
        4.850436447821327,
        4.85045626788248,
        4.850476087943632,
        4.850495908004785,
        4.850515728065936,
        4.850535548127088,
        4.8505553681882425,
        4.8506445584634275,
        4.851130149961663,
        4.851149970022816,
        4.851169790083968,
        4.85118961014512,
        4.851209430206272,
        4.8512292502674255,
        4.851249070328578,
        4.851268890389731,
        4.851288710450882,
        4.851308530512035,
        4.851328350573188,
        4.85134817063434,
        4.8513679906954925,
        4.851387810756645,
        4.851407630817797,
        4.851427450878949,
        4.851447270940103,
        4.851467091001255,
        4.851486911062407,
        4.85150673112356,
        4.851526551184712,
        4.851546371245864,
        4.851566191307017,
        4.85158601136817,
        4.851605831429321,
        4.851625651490474,
        4.851645471551627,
        4.85166529161278,
        4.851685111673932,
        4.851704931735084,
        4.851724751796236,
        4.851744571857389,
        4.851764391918541,
        4.851784211979695,
        4.851804032040847,
        4.851823852101998,
        4.851843672163151,
        4.851863492224304,
        4.851883312285457,
        4.851903132346609,
        4.851922952407762,
        4.851942772468913,
        4.851962592530065,
        4.8519824125912185,
        4.852002232652372,
        4.852022052713524,
        4.8520418727746755,
        4.852061692835828,
        4.85208151289698,
        4.852101332958133,
        4.8521211530192865,
        4.852140973080439,
        4.85216079314159,
        4.8521806132027425,
        4.852200433263895,
        4.852220253325049,
        4.852240073386201,
        4.8522598934473535,
        4.852279713508505,
        4.852299533569657,
        4.85231935363081,
        4.852339173691964,
        4.852358993753116,
        4.852378813814267,
        4.85239863387542,
        4.852418453936572,
        4.852438273997725,
        4.852458094058878,
        4.852477914120031,
        4.852497734181182,
        4.852517554242334,
        4.852537374303487,
        4.85255719436464,
        4.852577014425793,
        4.852596834486945,
        4.852616654548097,
        4.853013055771147,
        4.853032875832298,
        4.853052695893451,
        4.8530725159546035,
        4.853092336015756,
        4.853112156076909,
        4.853131976138061,
        4.853151796199213,
        4.853171616260366,
        4.853191436321518,
        4.8532112563826715,
        4.853231076443824,
        4.853250896504976,
        4.8532707165661275,
        4.853290536627281,
        4.853310356688433,
        4.853330176749586,
        4.8533499968107385,
        4.85336981687189,
        4.853389636933042,
        4.8534094569941955,
        4.853429277055348,
        4.853449097116501,
        4.853468917177653,
        4.853488737238805,
        4.853508557299957,
        4.85352837736111,
        4.853548197422263,
        4.853568017483416,
        4.853587837544567,
        4.853607657605719,
        4.853627477666872,
        4.853647297728025,
        4.853667117789178,
        4.8536869378503305,
        4.853706757911482,
        4.853726577972634,
        4.8537463980337865,
        4.853766218094941,
        4.853786038156093,
        4.853805858217244,
        4.853825678278397,
        4.853845498339549,
        4.853865318400701,
        4.853885138461855,
        4.853904958523008,
        4.853924778584159,
        4.853944598645311,
        4.853964418706464,
        4.853984238767617,
        4.85400405882877,
        4.854023878889922,
        4.854043698951074,
        4.854063519012226,
        4.854083339073378,
        4.854103159134532,
        4.854122979195685,
        4.854142799256836,
        4.8541626193179885,
        4.854241899562599,
        4.854757221152562,
        4.8547770412137154,
        4.854796861274867,
        4.854816681336019,
        4.854836501397172,
        4.854856321458325,
        4.854876141519478,
        4.85489596158063,
        4.854915781641782,
        4.854935601702934,
        4.854955421764087,
        4.854975241825239,
        4.854995061886393,
        4.855014881947544,
        4.855034702008696,
        4.8550545220698496,
        4.855074342131002,
        4.855094162192155,
        4.855113982253307,
        4.855133802314459,
        4.855153622375611,
        4.855173442436763,
        4.855193262497917,
        4.85521308255907,
        4.855232902620222,
        4.8552527226813735,
        4.855272542742526,
        4.855292362803678,
        4.855312182864831,
        4.8553320029259845,
        4.855351822987136,
        4.855371643048288,
        4.855391463109441,
        4.855411283170593,
        4.855431103231747,
        4.855450923292899,
        4.855470743354051,
        4.855490563415203,
        4.855510383476355,
        4.8555302035375085,
        4.855550023598662,
        4.855569843659813,
        4.8555896637209655,
        4.855609483782118,
        4.85562930384327,
        4.855649123904423,
        4.8556689439655765,
        4.855688764026728,
        4.85570858408788,
        4.8557284041490325,
        4.855748224210185,
        4.855768044271338,
        4.85578786433249,
        4.855807684393643,
        4.855827504454795,
        4.855847324515947,
        4.8558671445771004,
        4.855886964638253,
        4.855906784699405,
        4.855926604760557,
        4.85594642482171,
        4.855966244882862,
        4.855986064944015,
        4.856005885005168,
        4.85602570506632,
        4.856045525127472,
        4.856065345188624,
        4.856085165249777,
        4.85610498531093,
        4.856124805372081,
        4.8561446254332346,
        4.856164445494387,
        4.856184265555539,
        4.856204085616692,
        4.856223905677845,
        4.856243725738997,
        4.856263545800149,
        4.856283365861302,
        4.856303185922454,
        4.856323005983607,
        4.8563428260447585,
        4.856362646105911,
        4.856382466167064,
        4.856402286228216,
        4.8564221062893695,
        4.856441926350522,
        4.856461746411673,
        4.8564815664728265,
        4.856501386533979,
        4.856521206595131,
        4.856541026656284,
        4.856560846717436,
        4.856580666778588,
        4.856600486839741,
        4.8566203069008935,
        4.856640126962046,
        4.856659947023199,
        4.8566797670843505,
        4.856699587145503,
        4.856719407206656,
        4.856739227267808,
        4.8567590473289615,
        4.856778867390113,
        4.856798687451265,
        4.8568185075124175,
        4.85683832757357,
        4.856858147634723,
        4.856877967695876,
        4.856897787757028,
        4.85691760781818,
        4.856937427879332,
        4.8569572479404854,
        4.856977068001639,
        4.856996888062791,
        4.857016708123942,
        4.857036528185095,
        4.857056348246247,
        4.8570761683074,
        4.857095988368553,
        4.857115808429705,
        4.857135628490857,
        4.857155448552009,
        4.857175268613162,
        4.857195088674316,
        4.857214908735468,
        4.8572347287966195,
        4.857254548857772,
        4.857274368918924,
        4.8572941889800765,
        4.85731400904123,
        4.857393289285839,
        4.857413109346991,
        4.857432929408145,
        4.857452749469297,
        4.857472569530449,
        4.857492389591601,
        4.857512209652754,
        4.857532029713907,
        4.857551849775059,
        4.8575716698362115,
        4.857591489897364,
        4.857611309958516,
        4.857631130019668,
        4.857650950080822,
        4.857670770141974,
        4.857690590203126,
        4.8577104102642785,
        4.857730230325431,
        4.857750050386584,
        4.8577698704477354,
        4.857789690508888,
        4.857809510570041,
        4.857829330631193,
        4.857859060722921,
        4.858364472282309,
        4.858384292343462,
        4.858404112404615,
        4.858423932465768,
        4.858443752526919,
        4.858463572588072,
        4.858483392649224,
        4.858503212710377,
        4.85852303277153,
        4.858542852832682,
        4.858562672893834,
        4.858582492954986,
        4.858602313016139,
        4.858622133077292,
        4.858641953138445,
        4.8586617731995965,
        4.858681593260749,
        4.858701413321901,
        4.858721233383053,
        4.858741053444207,
        4.858760873505359,
        4.858780693566511,
        4.8588005136276635,
        4.858820333688816,
        4.858840153749968,
        4.858859973811122,
        4.858879793872274,
        4.858899613933426,
        4.858919433994578,
        4.858939254055731,
        4.858959074116883,
        4.858978894178037,
        4.858998714239188,
        4.859018534300341,
        4.859038354361493,
        4.859058174422645,
        4.8590779944837985,
        4.859097814544951,
        4.859117634606103,
        4.859137454667255,
        4.859157274728408,
        4.85917709478956,
        4.859196914850713,
        4.859216734911866,
        4.859236554973018,
        4.85925637503417,
        4.8592761950953225,
        4.859296015156475,
        4.859315835217627,
        4.85933565527878,
        4.859355475339933,
        4.859375295401085,
        4.859395115462237,
        4.85941493552339,
        4.859434755584542,
        4.859454575645695,
        4.859474395706847,
        4.859494215768,
        4.859514035829152,
        4.859533855890304,
        4.859553675951457,
        4.85957349601261,
        4.859593316073762,
        4.859613136134914,
        4.859632956196068,
        4.859652776257219,
        4.859672596318371,
        4.8596924163795245,
        4.859712236440677,
        4.859732056501829,
        4.8597518765629815,
        4.859771696624134,
        4.859791516685286,
        4.859811336746439,
        4.859831156807592,
        4.859850976868744,
        4.859870796929896,
        4.8598906169910485,
        4.859910437052201,
        4.859930257113354,
        4.859950077174506,
        4.8599698972356595,
        4.859989717296811,
        4.860009537357963,
        4.860029357419116,
        4.860049177480269,
        4.860068997541421,
        4.860088817602573,
        4.860108637663726,
        4.860128457724878,
        4.860207737969488,
        4.86022755803064,
        4.860247378091793,
        4.860267198152945,
        4.860287018214098,
        4.860306838275251,
        4.860326658336403,
        4.860346478397555,
        4.8603662984587075,
        4.86038611851986,
        4.860405938581014,
        4.860425758642165,
        4.860445578703318,
        4.86046539876447,
        4.860485218825622,
        4.8605050388867745,
        4.860524858947928,
        4.86054467900908,
        4.860564499070232,
        4.860584319131385,
        4.860604139192537,
        4.860623959253689,
        4.8606437793148425,
        4.860663599375995,
        4.860683419437147,
        4.860703239498299,
        4.860723059559452,
        4.860742879620604,
        4.860762699681757,
        4.8607825197429095,
        4.860802339804062,
        4.860822159865214,
        4.8608419799263665,
        4.860861799987519,
        4.860881620048672,
        4.860901440109824,
        4.860921260170977,
        4.860941080232129,
        4.860960900293281,
        4.8609807203544335,
        4.861000540415587,
        4.861020360476739,
        4.861040180537891,
        4.861060000599044,
        4.861079820660196,
        4.861099640721348,
        4.8611194607825015,
        4.861139280843654,
        4.861159100904806,
        4.861178920965958,
        4.861198741027111,
        4.861218561088263,
        4.861238381149416,
        4.8612582012105685,
        4.861278021271721,
        4.861297841332873,
        4.861317661394025,
        4.861337481455178,
        4.861357301516331,
        4.861377121577483,
        4.861396941638636,
        4.861416761699788,
        4.86143658176094,
        4.8614564018220925,
        4.861476221883246,
        4.861486131913821,
        4.862011363534362,
        4.862031183595514,
        4.862051003656666,
        4.862070823717819,
        4.862090643778972,
        4.862110463840124,
        4.862130283901276,
        4.862150103962429,
        4.862169924023581,
        4.862189744084734,
        4.8622095641458865,
        4.862229384207039,
        4.862249204268191,
        4.862269024329343,
        4.862288844390496,
        4.862308664451649,
        4.862328484512801,
        4.8623483045739535,
        4.862368124635106,
        4.862387944696258,
        4.86240776475741,
        4.862427584818564,
        4.862447404879716,
        4.862467224940868,
        4.862487045002021,
        4.862506865063172,
        4.862526685124325,
        4.862546505185478,
        4.862566325246631,
        4.862586145307783,
        4.862605965368935,
        4.862625785430088,
        4.86264560549124,
        4.862665425552393,
        4.862685245613545,
        4.862705065674698,
        4.862724885735849,
        4.862744705797002,
        4.862764525858155,
        4.862784345919308,
        4.86280416598046,
        4.8628239860416125,
        4.862843806102765,
        4.862863626163917,
        4.862883446225069,
        4.862903266286223,
        4.862923086347375,
        4.862942906408527,
        4.8629627264696795,
        4.862982546530832,
        4.863002366591984,
        4.863022186653137,
        4.86304200671429,
        4.863230297295238,
        4.863359127692728,
        4.864231210383437,
        4.864251030444589,
        4.864270850505741,
        4.864290670566894,
        4.864310490628046,
        4.8643303106891995,
        4.864350130750352,
        4.864369950811504,
        4.864389770872656,
        4.864409590933809,
        4.864587971484182,
        4.8649447325849255,
        4.864964552646078,
        4.86498437270723,
        4.8650041927683825,
        4.865024012829535,
        4.865043832890687,
        4.86506365295184,
        4.865083473012993,
        4.865103293074145,
        4.865123113135297,
        4.8651429331964495,
        4.865658254786414,
        4.865678074847566,
        4.865697894908718,
        4.86571771496987,
        4.865737535031023,
        4.865757355092176,
        4.865777175153329,
        4.865796995214481,
        4.8658168152756325,
        4.865836635336786,
        4.865856455397938,
        4.866114116192921,
        4.866133936254073,
        4.866153756315224,
        4.866173576376378,
        4.86619339643753,
        4.866213216498683,
        4.866233036559835,
        4.866252856620987,
        4.86627267668214,
        4.866292496743292,
        4.866312316804445,
        4.866332136865597,
        4.86635195692675,
        4.866371776987902,
        4.866391597049055,
        4.866411417110207,
        4.866431237171359,
        4.866451057232512,
        4.866470877293664,
        4.866490697354816,
        4.8665105174159695,
        4.866530337477122,
        4.866550157538274,
        4.8665699775994264,
        4.866589797660579,
        4.866609617721732,
        4.866629437782884,
        4.866649257844037,
        4.866669077905189,
        4.866688897966341,
        4.8667087180274935,
        4.866728538088647,
        4.866748358149799,
        4.866768178210951,
        4.866787998272104,
        4.866807818333255,
        4.866827638394409,
        4.866847458455561,
        4.866867278516714,
        4.866887098577866,
        4.8669069186390175,
        4.86692673870017,
        4.866946558761324,
        4.866966378822476,
        4.8669861988836285,
        4.867006018944781,
        4.867025839005932,
        4.8670456590670845,
        4.867065479128239,
        4.867085299189391,
        4.867105119250543,
        4.8671249393116955,
        4.867144759372847,
        4.867164579434001,
        4.867184399495153,
        4.867204219556306,
        4.867224039617458,
        4.867243859678609,
        4.867263679739762,
        4.867283499800915,
        4.867303319862068,
        4.86732313992322,
        4.867342959984373,
        4.867362780045524,
        4.867382600106677,
        4.8674024201678305
    ],
    "flux": [
        1.06236,
        1.04184,
        1.02132,
        1.0008,
        0.981268,
        0.965801,
        0.962848,
        0.959724,
        0.956316,
        0.952395,
        0.949139,
        0.951399,
        0.94248,
        0.93722,
        0.933362,
        0.930524,
        0.927684,
        0.917244,
        0.91756,
        0.91778,
        0.91559,
        0.910503,
        0.90485,
        0.908075,
        0.906443,
        0.909033,
        0.911063,
        0.91179,
        0.912251,
        0.905253,
        0.909283,
        0.911492,
        0.910839,
        0.910286,
        0.912972,
        0.911838,
        0.887522,
        0.89138,
        0.903215,
        0.909441,
        0.910962,
        0.909148,
        0.906629,
        0.908084,
        0.910491,
        0.909922,
        0.904958,
        0.907624,
        0.908697,
        0.905481,
        0.905247,
        0.908347,
        0.908169,
        0.90916,
        0.905093,
        0.908404,
        0.911145,
        0.906468,
        0.896182,
        0.909578,
        0.911128,
        0.912105,
        0.9127,
        0.911775,
        0.90964,
        0.908335,
        0.911385,
        0.914727,
        0.914487,
        0.911608,
        0.912191,
        0.915287,
        0.912549,
        0.912787,
        0.914276,
        0.913989,
        0.911445,
        0.90795,
        0.911883,
        0.913912,
        0.912625,
        0.910266,
        0.910213,
        0.90973,
        0.906998,
        0.904421,
        0.904824,
        0.906755,
        0.902564,
        0.900099,
        0.901316,
        0.901503,
        0.900446,
        0.898779,
        0.896017,
        0.89801,
        0.899134,
        0.898171,
        0.898332,
        0.899848,
        0.89454,
        0.89716,
        0.895344,
        0.889709,
        0.888325,
        0.893914,
        0.892391,
        0.889806,
        0.888983,
        0.888802,
        0.888452,
        0.887806,
        0.887919,
        0.887205,
        0.883302,
        0.884573,
        0.889396,
        0.89187,
        0.88856,
        0.884722,
        0.887634,
        0.885989,
        0.883423,
        0.885727,
        0.886617,
        0.885328,
        0.883078,
        0.88176,
        0.881747,
        0.882747,
        0.884735,
        0.881812,
        0.878853,
        0.879889,
        0.881818,
        0.880981,
        0.882185,
        0.886924,
        0.88237,
        0.878649,
        0.877774,
        0.877801,
        0.879891,
        0.881261,
        0.882676,
        0.884633,
        0.883728,
        0.879494,
        0.884636,
        0.890557,
        0.890146,
        0.888891,
        0.888726,
        0.889014,
        0.888687,
        0.892941,
        0.895444,
        0.894882,
        0.894413,
        0.896791,
        0.895348,
        0.897791,
        0.900024,
        0.896422,
        0.891836,
        0.892227,
        0.889226,
        0.884902,
        0.889555,
        0.888757,
        0.886667,
        0.891414,
        0.886171,
        0.888957,
        0.892329,
        0.894647,
        0.895063,
        0.894255,
        0.896004,
        0.899797,
        0.902373,
        0.903137,
        0.904689,
        0.909255,
        0.912583,
        0.908077,
        0.90508,
        0.90544,
        0.903064,
        0.891869,
        0.881406,
        0.883542,
        0.894072,
        0.904329,
        0.908381,
        0.906026,
        0.906327,
        0.904875,
        0.905904,
        0.909648,
        0.913779,
        0.91633,
        0.920699,
        0.923177,
        0.935262,
        0.946113,
        0.898473,
        0.87323,
        0.869428,
        0.875687,
        0.894839,
        0.91824,
        0.932214,
        0.926213,
        0.894769,
        0.84898,
        0.814173,
        0.739174,
        0.552931,
        0.261095,
        0.18221,
        0.346042,
        0.650316,
        0.924862,
        1.04643,
        1.06755,
        1.06182,
        1.04292,
        1.02293,
        1.00443,
        0.9866,
        0.97358,
        0.971001,
        0.964837,
        0.958627,
        0.953713,
        0.949784,
        0.946602,
        0.944694,
        0.943203,
        0.941374,
        0.939809,
        0.939335,
        0.939519,
        0.936919,
        0.936592,
        0.936263,
        0.933957,
        0.930843,
        0.934667,
        0.935375,
        0.933498,
        0.933062,
        0.933276,
        0.932625,
        0.933314,
        0.934138,
        0.936009,
        0.937164,
        0.937832,
        0.939377,
        0.94332,
        0.936188,
        0.93709,
        0.938209,
        0.940039,
        0.943412,
        0.942544,
        0.941773,
        0.943774,
        0.945418,
        0.947497,
        0.94921,
        0.945113,
        0.953322,
        0.956091,
        0.954669,
        0.953176,
        0.952684,
        0.947971,
        0.947048,
        0.944485,
        0.941484,
        0.938869,
        0.936505,
        0.933055,
        0.92945,
        0.93038,
        0.930633,
        0.929426,
        0.928005,
        0.928165,
        0.929439,
        0.925207,
        0.924273,
        0.928196,
        0.933591,
        0.933689,
        0.930793,
        0.92878,
        0.931064,
        0.933859,
        0.934461,
        0.934504,
        0.937612,
        0.934676,
        0.933418,
        0.933739,
        0.934214,
        0.934575,
        0.939552,
        0.940811,
        0.941951,
        0.943299,
        0.945218,
        0.948211,
        0.948093,
        0.946982,
        0.946786,
        0.944858,
        0.944844,
        0.953544,
        0.952616,
        0.953839,
        0.954582,
        0.956107,
        0.957644,
        0.957356,
        0.960966,
        0.96444,
        0.964209,
        0.962641,
        0.963401,
        0.968684,
        0.973645,
        0.975918,
        0.973592,
        0.975237,
        0.979203,
        0.978324,
        0.977902,
        0.987645,
        0.991442,
        0.991539,
        0.992747,
        0.997402,
        0.997951,
        0.995718,
        1.00663,
        1.01461,
        1.01579,
        1.01471,
        1.01308,
        1.01608,
        1.02276,
        1.02678,
        1.02897,
        1.03322,
        1.04033,
        1.04263,
        1.04101,
        1.04393,
        1.04935,
        1.0528,
        1.0566,
        1.06446,
        1.06643,
        1.06157,
        1.0602,
        1.06841,
        1.07477,
        1.07712,
        1.07484,
        1.07414,
        1.07398,
        1.07338,
        1.07622,
        1.07817,
        1.08118,
        1.08217,
        1.08329,
        1.08605,
        1.08781,
        1.08344,
        1.08678,
        1.09046,
        1.08863,
        1.08398,
        1.0885,
        1.09595,
        1.09679,
        1.09937,
        1.10042,
        1.09786,
        1.09489,
        1.09628,
        1.09795,
        1.09785,
        1.10054,
        1.1055,
        1.10637,
        1.10143,
        1.10701,
        1.11033,
        1.1075,
        1.1051,
        1.11289,
        1.11365,
        1.11858,
        1.11649,
        1.11397,
        1.11459,
        1.11803,
        1.125,
        1.12341,
        1.12011,
        1.12133,
        1.12465,
        1.12487,
        1.12797,
        1.1267,
        1.12593,
        1.12903,
        1.13185,
        1.12903,
        1.12509,
        1.1286,
        1.12582,
        1.1255,
        1.12568,
        1.12292,
        1.12383,
        1.12114,
        1.12656,
        1.12921,
        1.12781,
        1.12526,
        1.12434,
        1.12926,
        1.12648,
        1.12621,
        1.12866,
        1.12988,
        1.12611,
        1.12189,
        1.12375,
        1.12708,
        1.12982,
        1.12882,
        1.12043,
        1.11726,
        1.11444,
        1.11002,
        1.10932,
        1.11273,
        1.11326,
        1.10701,
        1.11005,
        1.11035,
        1.10803,
        1.1045,
        1.10092,
        1.10233,
        1.10039,
        1.09913,
        1.09746,
        1.0952,
        1.09337,
        1.09259,
        1.09122,
        1.08592,
        1.08234,
        1.07957,
        1.07535,
        1.07869,
        1.07818,
        1.07326,
        1.07233,
        1.07231,
        1.0674,
        1.06166,
        1.06333,
        1.06248,
        1.0613,
        1.06041,
        1.05846,
        1.05198,
        1.04914,
        1.04289,
        1.04129,
        1.04207,
        1.04145,
        1.04032,
        1.03289,
        1.03099,
        1.03146,
        1.03183,
        1.03088,
        1.02876,
        1.02307,
        1.02502,
        1.02373,
        1.02051,
        1.01756,
        1.01513,
        1.01705,
        1.01432,
        1.01609,
        1.01632,
        1.01294,
        1.01036,
        1.01663,
        1.0112,
        1.00712,
        1.00594,
        1.00445,
        0.999812,
        0.999455,
        0.996574,
        0.992525,
        0.994299,
        0.996682,
        0.99234,
        0.988418,
        0.981892,
        0.979921,
        0.976085,
        0.974259,
        0.976854,
        0.972631,
        0.970357,
        0.964691,
        0.96267,
        0.963476,
        0.963075,
        0.958168,
        0.95558,
        0.949027,
        0.948126,
        0.948938,
        0.949332,
        0.953107,
        0.944885,
        0.939362,
        0.937345,
        0.938339,
        0.938991,
        0.93521,
        0.933701,
        0.930633,
        0.918708,
        0.915263,
        0.920713,
        0.921188,
        0.920316,
        0.921271,
        0.913775,
        0.90965,
        0.911674,
        0.91536,
        0.918037,
        0.909686,
        0.904499,
        0.901218,
        0.899411,
        0.898927,
        0.89856,
        0.895053,
        0.891771,
        0.8896,
        0.88779,
        0.88495,
        0.880355,
        0.882499,
        0.882025,
        0.88059,
        0.879886,
        0.882089,
        0.888159,
        0.878604,
        0.880446,
        0.881872,
        0.882657,
        0.883364,
        0.882677,
        0.878456,
        0.879936,
        0.883406,
        0.884762,
        0.883638,
        0.882532,
        0.881308,
        0.87716,
        0.872186,
        0.871499,
        0.875895,
        0.881764,
        0.881781,
        0.935454,
        0.920769,
        0.90482,
        0.891551,
        0.885474,
        0.886933,
        0.892811,
        0.903841,
        0.910831,
        0.909025,
        0.899498,
        0.877433,
        0.838172,
        0.793283,
        0.586668,
        0.334786,
        0.205752,
        0.281716,
        0.540344,
        0.840453,
        0.947509,
        0.97586,
        0.970217,
        0.955578,
        0.941972,
        0.928325,
        0.917213,
        0.90871,
        0.903198,
        0.899678,
        0.896849,
        0.893781,
        0.891772,
        0.88692,
        0.882784,
        0.880078,
        0.879573,
        0.881399,
        0.879881,
        0.875993,
        0.874053,
        0.873321,
        0.872794,
        0.87204,
        0.871797,
        0.867913,
        0.870444,
        0.8711,
        0.86881,
        0.866995,
        0.868261,
        0.862363,
        0.861197,
        0.862583,
        0.862806,
        0.860827,
        0.860775,
        0.860918,
        0.861512,
        0.859911,
        0.857005,
        0.853963,
        0.851018,
        0.847202,
        0.847275,
        0.846489,
        0.845697,
        0.844615,
        0.841834,
        0.839253,
        0.838325,
        0.837019,
        0.835567,
        0.835895,
        0.838457,
        0.836611,
        0.832136,
        0.830624,
        0.832312,
        0.834793,
        0.834874,
        0.830259,
        0.825887,
        0.823896,
        0.824324,
        0.825544,
        0.826372,
        0.827279,
        0.830148,
        0.826438,
        0.826327,
        0.826538,
        0.825269,
        0.824991,
        0.826294,
        0.82429,
        0.823604,
        0.825101,
        0.828473,
        0.832096,
        0.832283,
        0.829622,
        0.828886,
        0.82722,
        0.82512,
        0.826106,
        0.835227,
        0.839305,
        0.835858,
        0.836554,
        0.839854,
        0.841148,
        0.840151,
        0.845053,
        0.846421,
        0.845689,
        0.844493,
        0.845679,
        0.851094,
        0.848353,
        0.851326,
        0.842426,
        0.843872,
        0.852233,
        0.858073,
        0.86221,
        0.864513,
        0.866214,
        0.86689,
        0.869447,
        0.871395,
        0.869145,
        0.874176,
        0.878987,
        0.879787,
        0.875649,
        0.871956,
        0.872381,
        0.875269,
        0.869006,
        0.867329,
        0.868299,
        0.86926,
        0.869008,
        0.867306,
        0.866759,
        0.866293,
        0.866121,
        0.864457,
        0.860538,
        0.858733,
        0.856722,
        0.856639,
        0.855489,
        0.855152,
        0.856621,
        0.851072,
        0.849434,
        0.851253,
        0.850228,
        0.847583,
        0.846015,
        0.843157,
        0.836033,
        0.839435,
        0.837844,
        0.836528,
        0.835185,
        0.828591,
        0.823429,
        0.825853,
        0.825057,
        0.821291,
        0.816401,
        0.815138,
        0.822803,
        0.816431,
        0.811767,
        0.807793,
        0.804995,
        0.803471,
        0.799875,
        0.799103,
        0.802273,
        0.80376,
        0.803783,
        0.801916,
        0.79933,
        0.800646,
        0.801254,
        0.800908,
        0.798352,
        0.795203,
        0.793006,
        0.791686,
        0.789385,
        0.790274,
        0.789631,
        0.786713,
        0.782675,
        0.781596,
        0.782721,
        0.781161,
        0.7809,
        0.780676,
        0.779154,
        0.778083,
        0.774948,
        0.772629,
        0.772665,
        0.771485,
        0.769101,
        0.770175,
        0.769131,
        0.765962,
        0.762836,
        0.761082,
        0.760716,
        0.76029,
        0.759474,
        0.757621,
        0.7552,
        0.754633,
        0.754209,
        0.751973,
        0.750609,
        0.748361,
        0.746756,
        0.744373,
        0.743328,
        0.7441,
        0.743098,
        0.743242,
        0.743127,
        0.740979,
        0.738426,
        0.73761,
        0.73948,
        0.738926,
        0.737596,
        0.736708,
        0.736298,
        0.735737,
        0.734209,
        0.731192,
        0.733737,
        0.732565,
        0.729132,
        0.726928,
        0.728192,
        0.729657,
        0.729792,
        0.729137,
        0.727403,
        0.725916,
        0.725198,
        0.724258,
        0.724598,
        0.725389,
        0.725142,
        0.725661,
        0.726617,
        0.726743,
        0.728455,
        0.728035,
        0.728352,
        0.728889,
        0.728971,
        0.728773,
        0.730409,
        0.726607,
        0.726344,
        0.726814,
        0.725132,
        0.721707,
        0.719934,
        0.720187,
        0.720459,
        0.720569,
        0.718961,
        0.715866,
        0.712509,
        0.713334,
        0.715123,
        0.714755,
        0.714557,
        0.714538,
        0.71301,
        0.70933,
        0.708319,
        0.710008,
        0.711717,
        0.711873,
        0.711414,
        0.710595,
        0.710628,
        0.708438,
        0.707241,
        0.707541,
        0.707702,
        0.70575,
        0.704352,
        0.70569,
        0.706893,
        0.707636,
        0.707989,
        0.706817,
        0.703107,
        0.702888,
        0.703143,
        0.700928,
        0.699217,
        0.699329,
        0.699056,
        0.698855,
        0.698806,
        0.697526,
        0.696433,
        0.694325,
        0.692517,
        0.69137,
        0.691495,
        0.691897,
        0.692207,
        0.692319,
        0.692213,
        0.689882,
        0.690886,
        0.688291,
        0.68695,
        0.687938,
        0.689037,
        0.685389,
        0.686959,
        0.687039,
        0.686886,
        0.686674,
        0.686632,
        0.685442,
        0.686146,
        0.687354,
        0.689108,
        0.689956,
        0.690611,
        0.689833,
        0.692469,
        0.697832,
        0.698169,
        0.698341,
        0.699107,
        0.700963,
        0.705298,
        0.6998,
        0.700467,
        0.698054,
        0.694287,
        0.690447,
        0.685626,
        0.684167,
        0.68184,
        0.678438,
        0.67662,
        0.674948,
        0.673112,
        0.673932,
        0.673046,
        0.671208,
        0.667894,
        0.666096,
        0.666585,
        0.664802,
        0.663772,
        0.661577,
        0.661842,
        0.66135,
        0.658645,
        0.655365,
        0.653722,
        0.652642,
        0.655126,
        0.654257,
        0.649287,
        0.648202,
        0.651134,
        0.650597,
        0.650881,
        0.649712,
        0.647493,
        0.64582,
        0.642916,
        0.644641,
        0.644883,
        0.643507,
        0.643044,
        0.640926,
        0.640033,
        0.637475,
        0.635512,
        0.635973,
        0.63479,
        0.633782,
        0.633724,
        0.634456,
        0.631285,
        0.631436,
        0.628662,
        0.62602,
        0.629815,
        0.631105,
        0.630939,
        0.631882,
        0.629808,
        0.62871,
        0.627078,
        0.62404,
        0.624591,
        0.621358,
        0.620397,
        0.619196,
        0.617395,
        0.618324,
        0.618226,
        0.620025,
        0.618189,
        0.617604,
        0.616045,
        0.614092,
        0.61596,
        0.613647,
        0.612881,
        0.613407,
        0.612999,
        0.610241,
        0.610596,
        0.61033,
        0.611079,
        0.611831,
        0.612746,
        0.611798,
        0.612342,
        0.61165,
        0.611142,
        0.612689,
        0.613676,
        0.612098,
        0.610336,
        0.611248,
        0.612375,
        0.612031,
        0.610505,
        0.610654,
        0.613483,
        0.613925,
        0.612377,
        0.610214,
        0.611502,
        0.611338,
        0.613731,
        0.614881,
        0.610401,
        0.611035,
        0.61186,
        0.613109,
        0.613365,
        0.609948,
        0.609463,
        0.609318,
        0.607909,
        0.607575,
        0.607496,
        0.607375,
        0.60718,
        0.607379,
        0.604998,
        0.605713,
        0.605004,
        0.604733,
        0.606819,
        0.606034,
        0.608179,
        0.604365,
        0.601771,
        0.599711,
        0.597627,
        0.59887,
        0.596561,
        0.5982,
        0.599224,
        0.598501,
        0.598842,
        0.598788,
        0.598192,
        0.594094,
        0.593222,
        0.593655,
        0.592795,
        0.590572,
        0.586651,
        0.586111,
        0.585713,
        0.586395,
        0.584713,
        0.58339,
        0.582189,
        0.581203,
        0.581635,
        0.578169,
        0.577045,
        0.574451,
        0.574393,
        0.572499,
        0.572092,
        0.567291,
        0.568006,
        0.567958,
        0.564887,
        0.565462,
        0.561128,
        0.558808,
        0.555937,
        0.557144,
        0.557567,
        0.553008,
        0.549044,
        0.546663,
        0.543443,
        0.540599,
        0.539867,
        0.537873,
        0.53186,
        0.525555,
        0.52652,
        0.525472,
        0.522875,
        0.520704,
        0.516886,
        0.514615,
        0.511662,
        0.506502,
        0.501441,
        0.498843,
        0.499942,
        0.499604,
        0.496417,
        0.493175,
        0.491619,
        0.490572,
        0.490214,
        0.48436,
        0.482604,
        0.480265,
        0.477562,
        0.475251,
        0.473762,
        0.46969,
        0.467541,
        0.46551,
        0.463656,
        0.463376,
        0.459075,
        0.456012,
        0.458729,
        0.456514,
        0.455413,
        0.452619,
        0.451126,
        0.447307,
        0.441787,
        0.440748,
        0.43968,
        0.437626,
        0.436774,
        0.433326,
        0.430909,
        0.428591,
        0.427753,
        0.42264,
        0.421743,
        0.420874,
        0.418683,
        0.416362,
        0.412176,
        0.408453,
        0.407108,
        0.4059,
        0.403724,
        0.403744,
        0.402056,
        0.396375,
        0.396391,
        0.394386,
        0.390322,
        0.388091,
        0.385017,
        0.390262,
        0.391115,
        0.391549,
        0.389175,
        0.38517,
        0.383085,
        0.38066,
        0.379698,
        0.378309,
        0.377648,
        0.377478,
        0.376713,
        0.374916,
        0.373394,
        0.369593,
        0.36632,
        0.364434,
        0.364562,
        0.367037,
        0.364635,
        0.363341,
        0.362268,
        0.359849,
        0.356559,
        0.354446,
        0.355075,
        0.355809,
        0.351156,
        0.348827,
        0.349934,
        0.351223,
        0.34845,
        0.344894,
        0.340533,
        0.341615,
        0.34335,
        0.341006,
        0.33487,
        0.334953,
        0.334015,
        0.337236,
        0.335695,
        0.331381,
        0.328118,
        0.324906,
        0.325716,
        0.325038,
        0.323022,
        0.322454,
        0.322184,
        0.319074,
        0.31625,
        0.318121,
        0.317552,
        0.316727,
        0.315443,
        0.313577,
        0.313028,
        0.313654,
        0.311405,
        0.31026,
        0.309323,
        0.307541,
        0.305645,
        0.307971,
        0.308594,
        0.30706,
        0.305133,
        0.302319,
        0.299428,
        0.300822,
        0.303266,
        0.301051,
        0.300249,
        0.298227,
        0.295947,
        0.296863,
        0.294144,
        0.29473,
        0.291943,
        0.289871,
        0.290004,
        0.291339,
        0.291814,
        0.293165,
        0.291397,
        0.289964,
        0.288296,
        0.28736,
        0.289224,
        0.29063,
        0.287999,
        0.284662,
        0.285282,
        0.286272,
        0.283523,
        0.280744,
        0.283722,
        0.281827,
        0.282282,
        0.282323,
        0.281771,
        0.282682,
        0.281156,
        0.281518,
        0.284022,
        0.285529,
        0.282802,
        0.278457,
        0.282229,
        0.278106,
        0.280233,
        0.281922,
        0.280765,
        0.277794,
        0.275201,
        0.270758,
        0.270828,
        0.269576,
        0.268366,
        0.267942,
        0.267967,
        0.267137,
        0.2641,
        0.261739,
        0.262668,
        0.262571,
        0.261452,
        0.255845,
        0.255868,
        0.253408,
        0.251734,
        0.253056,
        0.255423,
        0.253077,
        0.253108,
        0.253111,
        0.251934,
        0.253301,
        0.247707,
        0.250232,
        0.250207,
        0.249396,
        0.249192,
        0.248836,
        0.246242,
        0.247188,
        0.24656,
        0.246862,
        0.246926,
        0.244681,
        0.240616,
        0.244315,
        0.242595,
        0.243705,
        0.245147,
        0.244986,
        0.242964,
        0.239959,
        0.243471,
        0.243589,
        0.244291,
        0.242791,
        0.239472,
        0.239398,
        0.240344,
        0.240144,
        0.239707,
        0.239905,
        0.239095,
        0.236814,
        0.237684,
        0.241127,
        0.241762,
        0.238863,
        0.238433,
        0.240574,
        0.239229,
        0.235905,
        0.235755,
        0.235381,
        0.235962,
        0.235898,
        0.233937,
        0.232029,
        0.229211,
        0.229131,
        0.228545,
        0.227343,
        0.226935,
        0.228324,
        0.228955,
        0.230075,
        0.227261,
        0.228276,
        0.22797,
        0.224379,
        0.227498,
        0.22774,
        0.228091,
        0.226483,
        0.22569,
        0.225727,
        0.224999,
        0.224556,
        0.223705,
        0.223879,
        0.226265,
        0.226409,
        0.224307,
        0.225377,
        0.224787,
        0.222127,
        0.223532,
        0.221501,
        0.218907,
        0.219992,
        0.216622,
        0.223244,
        0.222943,
        0.22338,
        0.224241,
        0.226766,
        0.232706,
        0.22985,
        0.229132,
        0.224996,
        0.222669,
        0.22466,
        0.228744,
        0.228459,
        0.226823,
        0.223075,
        0.228772,
        0.224527,
        0.225291,
        0.223708,
        0.220697,
        0.21628,
        0.223118,
        0.230329,
        0.240873,
        0.238398,
        0.226396,
        0.216162,
        0.203416,
        0.172056,
        0.0960862,
        0.0494397,
        0.0633414,
        0.128856,
        0.207347,
        0.256359,
        0.263863,
        0.261424,
        0.259618,
        0.257686,
        0.254057,
        0.253713,
        0.24974,
        0.247902,
        0.247452,
        0.246438,
        0.243988,
        0.242107,
        0.246799,
        0.247651,
        0.249255,
        0.247141,
        0.245022,
        0.246444,
        0.249958,
        0.25103,
        0.250203,
        0.24944,
        0.250006,
        0.252792,
        0.255327,
        0.250945,
        0.255411,
        0.259468,
        0.259619,
        0.258742,
        0.257879,
        0.257341,
        0.266026,
        0.26346,
        0.266021,
        0.265368,
        0.264222,
        0.26566,
        0.26691,
        0.272136,
        0.273373,
        0.27406,
        0.275779,
        0.276724,
        0.276033,
        0.279026,
        0.279057,
        0.280115,
        0.284293,
        0.286006,
        0.285956,
        0.289135,
        0.282558,
        0.286868,
        0.287008,
        0.28847,
        0.290684,
        0.292542,
        0.296521,
        0.294408,
        0.292037,
        0.291528,
        0.292603,
        0.294305,
        0.295742,
        0.296869,
        0.299704,
        0.301489,
        0.303032,
        0.303327,
        0.304352,
        0.309265,
        0.309505,
        0.313774,
        0.312753,
        0.312931,
        0.309475,
        0.314086,
        0.315809,
        0.317314,
        0.321386,
        0.322479,
        0.323243,
        0.324429,
        0.325739,
        0.326285,
        0.329082,
        0.328765,
        0.329938,
        0.33342,
        0.336467,
        0.336719,
        0.33889,
        0.343496,
        0.344041,
        0.345399,
        0.347189,
        0.348167,
        0.349886,
        0.354521,
        0.353627,
        0.356385,
        0.358523,
        0.359685,
        0.361697,
        0.363601,
        0.364113,
        0.367177,
        0.36807,
        0.370083,
        0.373962,
        0.376938,
        0.373538,
        0.376886,
        0.38319,
        0.389483,
        0.388283,
        0.384738,
        0.387154,
        0.388419,
        0.392643,
        0.392427,
        0.393847,
        0.396874,
        0.400023,
        0.403788,
        0.40523,
        0.408355,
        0.407242,
        0.408848,
        0.412298,
        0.416483,
        0.415311,
        0.417181,
        0.418023,
        0.423455,
        0.427031,
        0.42828,
        0.42896,
        0.428949,
        0.432636,
        0.437208,
        0.43834,
        0.439586,
        0.440982,
        0.442103,
        0.44441,
        0.444663,
        0.449643,
        0.45142,
        0.452266,
        0.453963,
        0.455246,
        0.455393,
        0.45849,
        0.461797,
        0.464332,
        0.467334,
        0.467963,
        0.469871,
        0.472428,
        0.473452,
        0.475183,
        0.47636,
        0.478647,
        0.481824,
        0.483358,
        0.483182,
        0.484653,
        0.485906,
        0.489418,
        0.490798,
        0.492655,
        0.494334,
        0.494701,
        0.497407,
        0.499716,
        0.502591,
        0.506314,
        0.509402,
        0.508652,
        0.508908,
        0.509124,
        0.509958,
        0.510737,
        0.512756,
        0.516661,
        0.519193,
        0.519744,
        0.52126,
        0.524376,
        0.525879,
        0.531522,
        0.535048,
        0.536353,
        0.539498,
        0.542572,
        0.545748,
        0.547374,
        0.548685,
        0.550042,
        0.55174,
        0.552117,
        0.551021,
        0.549175,
        0.548475,
        0.545072,
        0.546153,
        0.545835,
        0.546662,
        0.549146,
        0.552594,
        0.552202,
        0.552717,
        0.552736,
        0.552065,
        0.553805,
        0.556322,
        0.556794,
        0.56066,
        0.56727,
        0.5716,
        0.574491,
        0.57256,
        0.568254,
        0.568402,
        0.569675,
        0.573256,
        0.574025,
        0.578719,
        0.58073,
        0.579711,
        0.583217,
        0.585372,
        0.585366,
        0.587232,
        0.587944,
        0.588177,
        0.588877,
        0.588805,
        0.591207,
        0.591954,
        0.592476,
        0.593444,
        0.595666,
        0.598107,
        0.594587,
        0.595623,
        0.597573,
        0.59857,
        0.598589,
        0.598606,
        0.59781,
        0.599518,
        0.599402,
        0.59954,
        0.599191,
        0.600064,
        0.600652,
        0.600323,
        0.598477,
        0.590582,
        0.593333,
        0.600137,
        0.602365,
        0.60185,
        0.600383,
        0.59979,
        0.600801,
        0.605317,
        0.605097,
        0.602883,
        0.602132,
        0.605532,
        0.606057,
        0.605167,
        0.603755,
        0.604859,
        0.606535,
        0.606565,
        0.605968,
        0.604633,
        0.607451,
        0.608463,
        0.615148,
        0.613693,
        0.611808,
        0.610415,
        0.610174,
        0.611018,
        0.614094,
        0.614881,
        0.617406,
        0.61882,
        0.619036,
        0.618612,
        0.617704,
        0.617518,
        0.616261,
        0.619021,
        0.620897,
        0.618882,
        0.619415,
        0.619614,
        0.619115,
        0.617599,
        0.618542,
        0.61844,
        0.617637,
        0.619402,
        0.620381,
        0.621198,
        0.622041,
        0.623779,
        0.620779,
        0.623021,
        0.624989,
        0.625664,
        0.625542,
        0.625702,
        0.626764,
        0.626837,
        0.626129,
        0.628169,
        0.631601,
        0.632541,
        0.631962,
        0.636608,
        0.633907,
        0.630431,
        0.632649,
        0.635196,
        0.63585,
        0.635211,
        0.633852,
        0.629437,
        0.629954,
        0.634025,
        0.643905,
        0.646535,
        0.648178,
        0.658635,
        0.661852,
        0.66376,
        0.664317,
        0.665801,
        0.665237,
        0.659414,
        0.662432,
        0.665763,
        0.66393,
        0.658808,
        0.654905,
        0.654413,
        0.668929,
        0.675476,
        0.661886,
        0.653385,
        0.652575,
        0.654218,
        0.656467,
        0.654283,
        0.653715,
        0.651784,
        0.652827,
        0.65334,
        0.6547,
        0.655552,
        0.654572,
        0.656062,
        0.654873,
        0.657353,
        0.657818,
        0.654623,
        0.651378,
        0.64936,
        0.646887,
        0.640555,
        0.635165,
        0.634369,
        0.644706,
        0.651058,
        0.653514,
        0.656652,
        0.655438,
        0.655708,
        0.659588,
        0.659874,
        0.659476,
        0.663234,
        0.667067,
        0.670604,
        0.676763,
        0.687606,
        0.694231,
        0.673513,
        0.65932,
        0.660377,
        0.665961,
        0.677833,
        0.689477,
        0.695461,
        0.686081,
        0.656761,
        0.631968,
        0.610224,
        0.537186,
        0.343771,
        0.176998,
        0.194185,
        0.366088,
        0.589357,
        0.747189,
        0.797281,
        0.797701,
        0.787024,
        0.775417,
        0.764955,
        0.754337,
        0.745467,
        0.740105,
        0.736017,
        0.732834,
        0.727768,
        0.725318,
        0.725573,
        0.72547,
        0.722407,
        0.719458,
        0.722036,
        0.724448,
        0.725507,
        0.724422,
        0.722709,
        0.721857,
        0.722779,
        0.722065,
        0.71844,
        0.717923,
        0.719221,
        0.720209,
        0.71986,
        0.719533,
        0.717913,
        0.716139,
        0.715661,
        0.716255,
        0.714059,
        0.711761,
        0.711402,
        0.713817,
        0.715532,
        0.711869,
        0.71033,
        0.710084,
        0.710049,
        0.710881,
        0.71123,
        0.707609,
        0.708508,
        0.709655,
        0.707831,
        0.705909,
        0.70655,
        0.706939,
        0.704205,
        0.706681,
        0.706166,
        0.707232,
        0.704814,
        0.7031,
        0.70254,
        0.702077,
        0.702566,
        0.70156,
        0.70333,
        0.705134,
        0.705513,
        0.704007,
        0.703273,
        0.705151,
        0.703719,
        0.707308,
        0.70703,
        0.70402,
        0.704589,
        0.704968,
        0.701899,
        0.70153,
        0.699214,
        0.701375,
        0.704112,
        0.702075,
        0.702899,
        0.706702,
        0.706619,
        0.70792,
        0.708227,
        0.71037,
        0.714576,
        0.717394,
        0.715314,
        0.710354,
        0.710153,
        0.710702,
        0.712756,
        0.712911,
        0.715555,
        0.720003,
        0.722563,
        0.720765,
        0.718091,
        0.717361,
        0.718033,
        0.720815,
        0.721386,
        0.721512,
        0.723072,
        0.72297,
        0.724294,
        0.723891,
        0.722105,
        0.720675,
        0.724428,
        0.727835,
        0.725354,
        0.731201,
        0.730985,
        0.734797,
        0.736452,
        0.738185,
        0.738547,
        0.738113,
        0.741214,
        0.74259,
        0.74312,
        0.745797,
        0.749251,
        0.751923,
        0.755421,
        0.761266,
        0.766056,
        0.765137,
        0.768271,
        0.770009,
        0.772188,
        0.772695,
        0.771151,
        0.769955,
        0.765767,
        0.765286,
        0.763921,
        0.758118,
        0.755293,
        0.753649,
        0.750138,
        0.750936,
        0.748006,
        0.745002,
        0.743302,
        0.742108,
        0.741945,
        0.741947,
        0.740318,
        0.738413,
        0.745247,
        0.743575,
        0.74392,
        0.743677,
        0.742546,
        0.741895,
        0.741808,
        0.742279,
        0.740517,
        0.743206,
        0.744762,
        0.742053,
        0.738871,
        0.74019,
        0.743395,
        0.740481,
        0.738512,
        0.737484,
        0.736448,
        0.736832,
        0.738665,
        0.738816,
        0.733116,
        0.735655,
        0.737554,
        0.737662,
        0.739234,
        0.739479,
        0.73615,
        0.733781,
        0.734347,
        0.734946,
        0.733701,
        0.735177,
        0.735103,
        0.734675,
        0.736794,
        0.733774,
        0.736949,
        0.735964,
        0.737335,
        0.738388,
        0.736572,
        0.73419,
        0.735485,
        0.735155,
        0.736243,
        0.738668,
        0.738061,
        0.736712,
        0.736884,
        0.737993,
        0.73774,
        0.739056,
        0.737477,
        0.736723,
        0.734781,
        0.735508,
        0.736335,
        0.732871,
        0.732019,
        0.732689,
        0.735076,
        0.739663,
        0.739535,
        0.737619,
        0.738239,
        0.740473,
        0.740568,
        0.742385,
        0.740637,
        0.740637,
        0.73936,
        0.739087,
        0.740995,
        0.740282,
        0.742852,
        0.740448,
        0.742129,
        0.737848,
        0.74914,
        0.75028,
        0.749151,
        0.750936,
        0.75436,
        0.755123,
        0.753592,
        0.755006,
        0.759414,
        0.76125,
        0.756303,
        0.759435,
        0.759396,
        0.764488,
        0.765972,
        0.766107,
        0.767408,
        0.769735,
        0.772634,
        0.77299,
        0.774057,
        0.772193,
        0.775674,
        0.780524,
        0.781475,
        0.780438,
        0.784643,
        0.784624,
        0.787072,
        0.786384,
        0.785701,
        0.786771,
        0.788477,
        0.789457,
        0.793261,
        0.793574,
        0.790631,
        0.790632,
        0.792224,
        0.793736,
        0.793514,
        0.790446,
        0.791296,
        0.790839,
        0.793555,
        0.792405,
        0.791439,
        0.790238,
        0.78864,
        0.792833,
        0.788788,
        0.791819,
        0.791259,
        0.790125,
        0.787822,
        0.786273,
        0.78875,
        0.793304,
        0.793237,
        0.788276,
        0.789532,
        0.789941,
        0.789376,
        0.7893,
        0.789737,
        0.791447,
        0.793118,
        0.794179,
        0.79403,
        0.794697,
        0.793295,
        0.789452,
        0.787365,
        0.787213,
        0.792546,
        0.793291,
        0.794334,
        0.793585,
        0.793208,
        0.793214,
        0.790214,
        0.791502,
        0.791337,
        0.794858,
        0.794312,
        0.793523,
        0.793555,
        0.794323,
        0.796574,
        0.79257,
        0.792931,
        0.795494,
        0.79545,
        0.795981,
        0.796481,
        0.796401,
        0.80012,
        0.800502,
        0.795946,
        0.798552,
        0.796623,
        0.791774,
        0.790025,
        0.793767,
        0.798451,
        0.798569,
        0.792113,
        0.794178,
        0.79382,
        0.789714,
        0.787752,
        0.789982,
        0.786931,
        0.783978,
        0.78247,
        0.781447,
        0.779967,
        0.777967,
        0.776867,
        0.780103,
        0.789549,
        0.769697,
        0.78466,
        0.784152,
        0.785457,
        0.785592,
        0.773391,
        0.779634,
        0.782915,
        0.78449,
        0.788659,
        0.791018,
        0.792839,
        0.794964,
        0.796155,
        0.796098,
        0.799975,
        0.80184,
        0.800533,
        0.800804,
        0.802216,
        0.802357,
        0.795149,
        0.784937,
        0.780894,
        0.785938,
        0.797968,
        0.806401,
        0.810501,
        0.813635,
        0.814705,
        0.817151,
        0.829416,
        0.82029,
        0.813224,
        0.823886,
        0.835567,
        0.839905,
        0.844996,
        0.858617,
        0.830451,
        0.865769,
        0.863576,
        0.870568,
        0.881379,
        0.881854,
        0.867844,
        0.830313,
        0.803459,
        0.798652,
        0.70869,
        0.477406,
        0.254458,
        0.24974,
        0.478132,
        0.791859,
        0.954994,
        0.992413,
        0.989675,
        0.972316,
        0.952926,
        0.940251,
        0.923576,
        0.909086,
        0.906253,
        0.894409,
        0.888475,
        0.886061,
        0.884228,
        0.881913,
        0.877919,
        0.875662,
        0.880395,
        0.875298,
        0.869175,
        0.870531,
        0.867162,
        0.860717,
        0.86141,
        0.863748,
        0.8686,
        0.869612,
        0.864255,
        0.866062,
        0.866004,
        0.863571,
        0.861965,
        0.861549,
        0.861776,
        0.864927,
        0.862895,
        0.860803,
        0.856996,
        0.854433,
        0.85608,
        0.859326,
        0.858126,
        0.85512,
        0.855529,
        0.855054,
        0.855504,
        0.855356,
        0.854863,
        0.856093,
        0.853569,
        0.85363,
        0.85157,
        0.851657,
        0.850522,
        0.851376,
        0.856356,
        0.855248,
        0.846485,
        0.85657,
        0.857518,
        0.851325,
        0.855493,
        0.863188,
        0.861914,
        0.866133,
        0.871671,
        0.872096,
        0.873252,
        0.873596,
        0.872798,
        0.870536,
        0.867571,
        0.864599,
        0.84872,
        0.840085,
        0.844458,
        0.844202,
        0.842465,
        0.841656,
        0.840389,
        0.839376,
        0.837175,
        0.838408,
        0.834466,
        0.834012,
        0.838218,
        0.842014,
        0.8395,
        0.833823,
        0.835671,
        0.831802,
        0.833818,
        0.837161,
        0.835995,
        0.833579,
        0.83348,
        0.830638,
        0.831986,
        0.839671,
        0.833561,
        0.834531,
        0.839622,
        0.837986,
        0.831867,
        0.833419,
        0.832853,
        0.828275,
        0.82766,
        0.829286,
        0.831124,
        0.832787,
        0.8341,
        0.832465,
        0.832851,
        0.834368,
        0.832043,
        0.832989,
        0.833403,
        0.832565,
        0.831839,
        0.832393,
        0.832098,
        0.828066,
        0.829732,
        0.835153,
        0.834512,
        0.835114,
        0.837274,
        0.838081,
        0.839767,
        0.842245,
        0.841556,
        0.838667,
        0.837482,
        0.836627,
        0.840123,
        0.842096,
        0.844529,
        0.853594,
        0.848968,
        0.84363,
        0.847281,
        0.850417,
        0.846522,
        0.840313,
        0.840625,
        0.847938,
        0.849742,
        0.848175,
        0.8501,
        0.855018,
        0.858466,
        0.855678,
        0.853231,
        0.856017,
        0.853947,
        0.852716,
        0.854635,
        0.853769,
        0.852585,
        0.853775,
        0.856039,
        0.857636,
        0.858415,
        0.855071,
        0.854933,
        0.853514,
        0.855892,
        0.85934,
        0.861186,
        0.857176,
        0.850815,
        0.853781,
        0.852208,
        0.849656,
        0.85082,
        0.853165,
        0.850765,
        0.848233,
        0.846889,
        0.844991,
        0.845589,
        0.845947,
        0.849382,
        0.852241,
        0.85294,
        0.852103,
        0.856,
        0.862512,
        0.861868,
        0.873628,
        0.87972,
        0.880688,
        0.879461,
        0.878083,
        0.878829,
        0.881787,
        0.886578,
        0.888965,
        0.875478,
        0.882714,
        0.88604,
        0.893541,
        0.890656,
        0.889315,
        0.891685,
        0.894293,
        0.892748,
        0.88706,
        0.898728,
        0.902127,
        0.902449,
        0.901349,
        0.89464,
        0.886255,
        0.891036,
        0.897251,
        0.89424,
        0.893125,
        0.882717,
        0.891573,
        0.900204,
        0.908728,
        0.910648,
        0.897866,
        0.895205,
        0.901206,
        0.901643,
        0.896693,
        0.893493,
        0.896571,
        0.899694,
        0.893043,
        0.886787,
        0.907658,
        0.90318,
        0.898857,
        0.900251,
        0.898125,
        0.899361,
        0.895501,
        0.89402,
        0.891708,
        0.888831,
        0.884547,
        0.88354,
        0.883065,
        0.887104,
        0.893621,
        0.892557,
        0.887702,
        0.897052,
        0.882728,
        0.880971,
        0.890738,
        0.889582,
        0.881836,
        0.888494,
        0.894193,
        0.886105,
        0.879453,
        0.88011,
        0.880466,
        0.875204,
        0.879416,
        0.879528,
        0.879613,
        0.879734,
        0.873873,
        0.87155,
        0.875514,
        0.87676,
        0.873746,
        0.875563,
        0.873667,
        0.872357,
        0.870183,
        0.870519,
        0.872912,
        0.87006,
        0.872703,
        0.870193,
        0.867503,
        0.86837,
        0.871578,
        0.868163,
        0.868589,
        0.877181,
        0.882347,
        0.871179,
        0.874168,
        0.879745,
        0.87736,
        0.869666,
        0.866617,
        0.865841,
        0.870378,
        0.86997,
        0.865381,
        0.864967,
        0.871952,
        0.875189,
        0.863969,
        0.859787,
        0.867218,
        0.863497,
        0.861806,
        0.863901,
        0.865708,
        0.867898,
        0.873485,
        0.85843,
        0.863661,
        0.862882,
        0.859664,
        0.862326,
        0.869048,
        0.868935,
        0.853293,
        0.862797,
        0.864078,
        0.863414,
        0.862217,
        0.866433,
        0.869201,
        0.866991,
        0.870798,
        0.884037,
        0.859993,
        0.869307,
        0.870234,
        0.873718,
        0.876509,
        0.874984,
        0.8726,
        0.870207,
        0.87861,
        0.874016,
        0.873585,
        0.879666,
        0.879932,
        0.879245,
        0.882049,
        0.880968,
        0.889962,
        0.891263,
        0.882099,
        0.889578,
        0.89099,
        0.88755,
        0.891797,
        0.899874,
        0.895446,
        0.898134,
        0.900609,
        0.897969,
        0.896205,
        0.897012,
        0.900386,
        0.900626,
        0.902733,
        0.908344,
        0.902623,
        0.890254,
        0.895375,
        0.893863,
        0.889886,
        0.888556,
        0.88525,
        0.886086,
        0.883061,
        0.884316,
        0.886807,
        0.8872,
        0.886124,
        0.88477,
        0.890411,
        0.890365,
        0.880852,
        0.887061,
        0.894012,
        0.892167,
        0.891899,
        0.882043,
        0.88564,
        0.899619,
        0.906245,
        0.91114,
        0.912178,
        0.91276,
        0.916489,
        0.917916,
        0.90979,
        0.907834,
        0.900306,
        0.899889,
        0.89949,
        0.900405,
        0.909395,
        0.921639,
        0.909311,
        0.90292,
        0.907873,
        0.909245,
        0.904487,
        0.912736,
        0.931214,
        0.931123,
        0.920873,
        0.912126,
        0.939409,
        0.94542,
        0.937618,
        0.95135,
        0.968885,
        0.981192,
        0.989221,
        0.970661,
        0.937544,
        0.914144,
        0.859565,
        0.694809,
        0.423517,
        0.27763,
        0.470434,
        0.781992,
        0.99514,
        1.0745,
        1.08501,
        1.08844,
        1.08191,
        1.04424,
        1.03007,
        1.01962,
        0.992806,
        0.976437,
        0.967593,
        0.957308,
        0.95313,
        0.949224,
        0.932208,
        0.943216,
        0.939909,
        0.931307,
        0.92598,
        0.925327,
        0.925086,
        0.919977,
        0.91986,
        0.917777,
        0.919686,
        0.914977,
        0.911072,
        0.911964,
        0.912909,
        0.911607,
        0.909322,
        0.908516,
        0.906193,
        0.900364,
        0.888803,
        0.874425,
        0.869125,
        0.883869,
        0.887931,
        0.894333,
        0.899318,
        0.903355,
        0.89738,
        0.892569,
        0.898159,
        0.902959,
        0.893165,
        0.88999,
        0.889028,
        0.887969,
        0.887291,
        0.889171,
        0.88997,
        0.88616,
        0.888949,
        0.912369,
        0.904974,
        0.88344,
        0.88974,
        0.896217,
        0.889105,
        0.881793,
        0.880911,
        0.897507,
        0.892488,
        0.874483,
        0.87659,
        0.881435,
        0.881138,
        0.88132,
        0.883938,
        0.883634,
        0.887759,
        0.882585,
        0.886008,
        0.891324,
        0.894296,
        0.895045,
        0.894177,
        0.891737,
        0.896213,
        0.902326,
        0.90368,
        0.896552,
        0.892782,
        0.898441,
        0.896704,
        0.896937,
        0.89209,
        0.890333,
        0.89102,
        0.894153,
        0.895118,
        0.89224,
        0.890209,
        0.894843,
        0.890319,
        0.892263,
        0.880454,
        0.907372,
        0.908265,
        0.88823,
        0.889069,
        0.892361,
        0.887014,
        0.890108,
        0.89471,
        0.892057,
        0.891927,
        0.893357,
        0.893509,
        0.894772,
        0.894179,
        0.898864,
        0.89772,
        0.897351,
        0.897235,
        0.89942,
        0.901819,
        0.901317,
        0.899844,
        0.896802,
        0.901848,
        0.906396,
        0.909696,
        0.90798,
        0.90508,
        0.904835,
        0.906235,
        0.914289,
        0.917009,
        0.915355,
        0.924364,
        0.92073,
        0.917843,
        0.919594,
        0.915885,
        0.917396,
        0.932094,
        0.92054,
        0.926644,
        0.930508,
        0.929044,
        0.928349,
        0.930925,
        0.931712,
        0.929144,
        0.934125,
        0.934669,
        0.93097,
        0.9299,
        0.929632,
        0.934002,
        0.944849,
        0.939755,
        0.927294,
        0.929278,
        0.93585,
        0.935971,
        0.937233,
        0.936306,
        0.932831,
        0.939648,
        0.938805,
        0.932259,
        0.934462,
        0.939732,
        0.932046,
        0.927327,
        0.936396,
        0.944761,
        0.936467,
        0.939687,
        0.939171,
        0.941851,
        0.94075,
        0.93753,
        0.935791,
        0.93534,
        0.932262,
        0.926351,
        0.929281,
        0.933058,
        0.929644,
        0.928419,
        0.929176,
        0.927826,
        0.924606,
        0.923959,
        0.92425,
        0.927258,
        0.924104,
        0.924036,
        0.923707,
        0.924057,
        0.925616,
        0.924919,
        0.923809,
        0.916907,
        0.91536,
        0.917777,
        0.922146,
        0.91312,
        0.909363,
        0.92691,
        0.924319,
        0.904445,
        0.920351,
        0.916256,
        0.911693,
        0.914943,
        0.919247,
        0.921527,
        0.922792,
        0.903962,
        0.914539,
        0.91644,
        0.914127,
        0.91511,
        0.91744,
        0.923658,
        0.926173,
        0.908685,
        0.912817,
        0.912674,
        0.911786,
        0.911982,
        0.916299,
        0.917772,
        0.913831,
        0.91184,
        0.916624,
        0.917812,
        0.91717,
        0.920924,
        0.922188,
        0.921584,
        0.921064,
        0.924735,
        0.943326,
        0.989478,
        0.949587,
        0.936571,
        0.92838,
        0.923935,
        0.932094,
        0.937369,
        0.92655,
        0.921819,
        0.926469,
        0.927791,
        0.93521,
        0.939951,
        0.926891,
        0.913138,
        0.920594,
        0.932955,
        0.935452,
        0.946185,
        0.923977,
        0.936836,
        0.936678,
        0.923751,
        0.919619,
        0.927039,
        0.91568,
        0.888555,
        0.921157,
        0.926025,
        0.924371,
        0.923607,
        0.921356,
        0.922256,
        0.934696,
        0.962164,
        0.958235,
        0.926808,
        0.919626,
        0.918229,
        0.924966,
        0.92284,
        0.914688,
        0.917121,
        0.924438,
        0.921081,
        0.920354,
        0.922706,
        0.923129,
        0.923238,
        0.92268,
        0.922378,
        0.922766,
        0.921644,
        0.92165,
        0.926384,
        0.925122,
        0.924528,
        0.926452,
        0.925807,
        0.924512,
        0.927177,
        0.926226,
        0.923537,
        0.931541,
        0.926419,
        0.922586,
        0.921568,
        0.923724,
        0.925386,
        0.920542,
        0.926302,
        0.930208,
        0.931771,
        0.938392,
        0.945786,
        0.934133,
        0.919284,
        0.924496,
        0.933576,
        0.923854,
        0.919433,
        0.924905,
        0.926241,
        0.922796,
        0.92527,
        0.928058,
        0.929347,
        0.929883,
        0.92893,
        0.926921,
        0.932815,
        0.939347,
        0.932561,
        0.925381,
        0.93419,
        0.929746,
        0.927224,
        0.93114,
        0.935433,
        0.937374,
        0.941356,
        0.94705,
        0.947864,
        0.942063,
        0.941999,
        0.94083,
        0.939103,
        0.944586,
        0.952007,
        0.959917,
        0.964696,
        0.953931,
        0.938338,
        0.966132,
        0.970039,
        0.954152,
        0.950472,
        0.981264,
        0.987132,
        0.958111,
        0.967803,
        0.991212,
        0.961614,
        0.990063,
        0.987626,
        0.961679,
        0.968844,
        0.983645,
        0.976559,
        0.970832,
        0.988056,
        0.974059,
        0.95386,
        0.953043,
        0.942867,
        0.938315,
        0.939415,
        0.94027,
        0.935634,
        0.92171,
        0.928514,
        0.936103,
        0.928769,
        0.934442,
        0.934944,
        0.937154,
        0.941787,
        0.943674,
        0.943667,
        0.940709,
        0.943397,
        0.936071,
        0.93486,
        0.939491,
        0.929216,
        0.919455,
        0.926978,
        0.939403,
        0.933895,
        0.93112,
        0.936758,
        0.931094,
        0.933412,
        0.936084,
        0.941435,
        0.94598,
        0.947108,
        0.945797,
        0.957677,
        0.997105,
        1.00928,
        1.02996,
        1.0453,
        1.06019,
        1.03688,
        1.04058,
        1.07274,
        1.01828,
        0.776795,
        0.482968,
        0.377853,
        0.575903,
        0.917266,
        1.09638,
        1.14911,
        1.15754,
        1.13608,
        1.0881,
        1.07153,
        1.05435,
        1.03712,
        1.02623,
        1.01446,
        1.00886,
        1.00548,
        0.997186,
        0.992488,
        0.987181,
        0.977785,
        0.969473,
        0.963694,
        0.965655,
        0.967925,
        0.95848,
        0.960115,
        0.986704,
        0.967622,
        0.936747,
        0.952164,
        0.953039,
        0.94882,
        0.946964,
        0.947924,
        0.948309,
        0.949094,
        0.946618,
        0.943968,
        0.945301,
        0.946089,
        0.94514,
        0.944639,
        0.945814,
        0.941918,
        0.937122,
        0.938681,
        0.941438,
        0.93333,
        0.922208,
        0.913893,
        0.839463,
        0.820915,
        0.862577,
        0.916224,
        0.93532,
        0.923158,
        0.961315,
        0.974514,
        0.935292,
        0.949273,
        0.925931,
        0.924195,
        0.931271,
        0.927472,
        0.923668,
        0.92511,
        0.928146,
        0.927252,
        0.933922,
        0.931327,
        0.919728,
        0.926344,
        0.935149,
        0.930943,
        0.929111,
        0.927822,
        0.929192,
        0.93161,
        0.930516,
        0.931878,
        0.933983,
        0.935766,
        0.938863,
        0.941139,
        0.942725,
        0.939574,
        0.937329,
        0.946033,
        0.949827,
        0.945548,
        0.95697,
        0.970093,
        0.967365,
        0.962044,
        0.961085,
        0.958216,
        0.954507,
        0.957718,
        0.964982,
        0.96739,
        0.952468,
        0.942871,
        0.957574,
        0.964191,
        0.961728,
        0.956553,
        0.950256,
        0.961632,
        0.958299,
        0.955667,
        0.956067,
        0.964251,
        0.95498,
        0.937096,
        0.952798,
        0.967094,
        0.963862,
        0.948725,
        0.952498,
        0.957917,
        0.955985,
        0.958117,
        0.948734,
        0.957001,
        0.963833,
        0.95557,
        0.954505,
        0.956199,
        0.957659,
        0.95469,
        0.95528,
        0.963016,
        0.966746,
        0.96109,
        0.949001,
        0.944613,
        0.96412,
        0.964809,
        0.950433,
        0.944285,
        0.966577,
        0.963676,
        0.956635,
        0.955216,
        0.955937,
        0.95758,
        0.956709,
        0.954597,
        0.958805,
        0.953046,
        0.952682,
        0.95547,
        0.960525,
        0.968705,
        0.963081,
        0.938274,
        0.938152,
        0.96276,
        0.956785,
        0.959801,
        0.960955,
        0.960366,
        0.961393,
        0.960729,
        0.960705,
        0.962176,
        0.96239,
        0.966396,
        0.964012,
        0.960326,
        0.970296,
        0.961001,
        0.95555,
        0.958452,
        0.962121,
        0.96396,
        0.965451,
        0.949475,
        0.943002,
        0.978602,
        0.952754,
        0.947053,
        0.953362,
        0.958499,
        0.951651,
        0.930239,
        0.955919,
        0.951361,
        0.948641,
        0.948314,
        0.950702,
        0.951307,
        0.946094,
        0.947857,
        0.952274,
        0.95848,
        0.949641,
        0.950015,
        0.972712,
        0.947576,
        0.929505,
        0.951331,
        0.952861,
        0.951191,
        0.946922,
        0.951328,
        0.953434,
        0.954122,
        0.95116,
        0.94949,
        0.949397,
        0.954523,
        0.953846,
        0.953614,
        0.962119,
        0.961518,
        0.943768,
        0.961445,
        0.998809,
        0.948801,
        0.958991,
        0.964395,
        0.959955,
        0.957455,
        0.959314,
        0.964065,
        0.970286,
        0.962759,
        0.957433,
        0.960241,
        0.966338,
        0.966054,
        0.967866,
        0.966527,
        0.964084,
        0.964765,
        0.964668,
        0.962473,
        0.961729,
        0.960231,
        0.965974,
        0.964062,
        0.962651,
        0.966934,
        0.964543,
        0.957656,
        0.959933,
        0.968213,
        0.961231,
        0.906957,
        0.948234,
        0.968748,
        0.960814,
        0.966135,
        0.950395,
        0.949989,
        0.968328,
        0.960981,
        0.956173,
        0.955049,
        0.955626,
        0.96342,
        0.972185,
        0.964351,
        0.958669,
        0.966317,
        0.970358,
        0.963063,
        0.960963,
        0.963948,
        0.957615,
        0.965256,
        0.959445,
        0.958417,
        0.959092,
        0.957137,
        0.958083,
        0.960023,
        0.956237,
        0.952313,
        0.957738,
        0.959644,
        0.955547,
        0.950587,
        0.947347,
        0.947078,
        0.95252,
        0.945912,
        0.940541,
        0.955661,
        0.955217,
        0.952388,
        0.949039,
        0.950023,
        0.949714,
        0.953369,
        0.959787,
        0.951348,
        0.947637,
        0.958314,
        0.957897,
        0.953268,
        0.959748,
        0.951667,
        0.947323,
        0.94998,
        0.957396,
        0.964176,
        0.951796,
        0.951261,
        0.976024,
        0.98105,
        0.970518,
        0.962637,
        0.942875,
        0.963664,
        0.970894,
        0.977534,
        0.984754,
        0.981983,
        0.971966,
        0.964674,
        0.960047,
        0.96025,
        0.956477,
        0.954263,
        0.953426,
        0.956899,
        0.960306,
        0.952897,
        0.945525,
        0.965818,
        0.958575,
        0.956717,
        0.958536,
        0.95836,
        0.950269,
        0.956314,
        0.956534,
        0.947637,
        0.957757,
        0.973489,
        0.958655,
        0.959791,
        0.955861,
        0.960271,
        0.970269,
        0.948613,
        0.946786,
        0.961449,
        0.962659,
        0.956753,
        0.957542,
        0.959266,
        0.959812,
        0.937565,
        0.955204,
        0.958742,
        0.949604,
        0.945161,
        0.948494,
        0.952734,
        0.953153,
        0.951727,
        0.959047,
        0.962838,
        0.951019,
        0.950556,
        0.947162,
        0.94588,
        0.941421,
        0.942907,
        0.945945,
        0.936102,
        0.930022,
        0.936269,
        0.925735,
        0.903896,
        0.897096,
        0.901405,
        0.899976,
        0.900324,
        0.905837,
        0.912787,
        0.914016,
        0.913092,
        0.924525,
        0.924858,
        0.917642,
        0.911549,
        0.907856,
        0.903661,
        0.895116,
        0.881595,
        0.892575,
        0.910589,
        0.918724,
        0.926247,
        0.91685,
        0.919642,
        0.923024,
        0.917622,
        0.917691,
        0.927619,
        0.940666,
        0.948115,
        0.960169,
        0.964437,
        1.05182,
        1.07333,
        1.08574,
        1.09169,
        1.09675,
        1.10702,
        1.12341,
        1.12843,
        1.02063,
        0.750266,
        0.480518,
        0.511366,
        0.840923,
        1.1184,
        1.20048,
        1.18942,
        1.18122,
        1.16297,
        1.10616,
        1.0874,
        1.08241,
        1.05745,
        1.04873,
        1.04212,
        1.03503,
        1.02696,
        1.02221,
        1.02233,
        1.02142,
        1.021,
        1.00858,
        1.01247,
        1.01954,
        1.00947,
        1.011,
        1.01616,
        1.01049,
        1.02683,
        1.01849,
        1.03225,
        1.02158,
        1.02707,
        1.02549,
        1.02549,
        1.02024,
        1.01617,
        1.01819,
        1.02113,
        1.02233,
        1.01681,
        1.02491,
        1.03298,
        1.02351,
        1.02419,
        1.02525,
        1.02191,
        1.01836,
        1.01555,
        1.01321,
        1.01343,
        1.01465,
        1.02201,
        0.998377,
        1.00931,
        1.04132,
        1.02268,
        1.01858,
        1.02278,
        1.01703,
        1.008,
        1.00485,
        1.00391,
        1.00466,
        0.999452,
        0.996237,
        1.01093,
        1.00333,
        0.990719,
        1.00457,
        1.01369,
        1.01116,
        1.00753,
        0.997947,
        1.00115,
        0.996309,
        0.994534,
        1.0008,
        0.984802,
        0.994146,
        0.989561,
        0.98949,
        0.991328,
        0.996394,
        0.999911,
        0.997782,
        0.994372,
        0.993094,
        0.986753,
        0.982954,
        0.980852,
        0.984837,
        0.978061,
        0.982071,
        0.9918,
        0.984759,
        0.982024,
        0.989032,
        0.97369,
        0.993976,
        0.988699,
        0.988048,
        0.987069,
        0.990546,
        0.988867,
        0.98583,
        0.986201,
        0.982255,
        0.98067,
        0.984235,
        0.976927,
        0.979817,
        0.977978,
        0.977849,
        0.977058,
        0.966611,
        0.970569,
        0.98351,
        0.978097,
        0.974499,
        0.979473,
        0.97488,
        0.970237,
        0.972523,
        0.970928,
        0.963385,
        0.96737,
        0.971136,
        0.962206,
        0.96882,
        0.980199,
        0.962795,
        0.964357,
        0.969194,
        0.960535,
        0.960624,
        0.964824,
        0.964833,
        0.9672,
        0.967609,
        0.961252,
        0.967498,
        0.967783,
        0.960915,
        0.961523,
        0.960596,
        0.959287,
        0.962868,
        0.958554,
        0.937317,
        0.967771,
        0.964291,
        0.94951,
        0.957489,
        0.962668,
        0.962477,
        0.961,
        0.962566,
        0.959096,
        0.963801,
        0.963676,
        0.956237,
        0.955297,
        0.955653,
        0.952577,
        0.953221,
        0.958651,
        0.952023,
        0.958188,
        0.98664,
        0.931265,
        0.956339,
        0.962452,
        0.940055,
        0.949025,
        0.954909,
        0.954688,
        0.954147,
        0.953371,
        0.95326,
        0.953126,
        0.950294,
        0.955086,
        0.94876,
        0.941567,
        0.952829,
        0.951265,
        0.947858,
        0.950789,
        0.954292,
        0.955674,
        0.956964,
        0.955864,
        0.95519,
        0.949126,
        0.952522,
        0.959783,
        0.954711,
        0.953547,
        0.953584,
        0.953096,
        0.95298,
        0.951046,
        0.946461,
        0.943873,
        0.941274,
        0.961524,
        0.964949,
        0.948859,
        0.952794,
        0.947312,
        0.940037,
        0.939924,
        0.935846,
        0.923444,
        0.94492,
        0.97102,
        0.927027,
        0.942541,
        0.954385,
        0.949609,
        0.951462,
        0.95265,
        0.94691,
        0.946702,
        0.953027,
        0.957932,
        0.954466,
        0.955351,
        0.960671,
        0.95336,
        0.953804,
        0.954578,
        0.957453,
        0.961005,
        0.95976,
        0.955938,
        0.957546,
        0.956403,
        0.956331,
        0.956401,
        0.958329,
        0.958306,
        0.95958,
        0.964112,
        0.960804,
        0.958836,
        0.960814,
        0.956583,
        0.950382,
        0.867418,
        0.8198,
        0.871484,
        0.942637,
        0.977897,
        0.988436,
        0.982149,
        0.982502,
        0.972567,
        0.965905,
        0.965017,
        0.963946,
        0.963083,
        0.963504,
        0.96418,
        0.959291,
        0.961617,
        0.960018,
        0.962405,
        0.958712,
        0.95733,
        0.960363,
        0.958452,
        0.956016,
        0.953196,
        0.957074,
        0.959477,
        0.955375,
        0.957735,
        0.958154,
        0.952652,
        0.952987,
        0.957094,
        0.950933,
        0.961041,
        0.964313,
        0.960836,
        0.958222,
        0.960848,
        0.965636,
        0.965611,
        0.967579,
        0.972231,
        0.963049,
        0.964434,
        0.968691,
        0.968245,
        0.973736,
        0.97395,
        0.967966,
        0.963569,
        0.961452,
        0.96136,
        0.964608,
        0.96058,
        0.96021,
        0.969919,
        0.970947,
        0.962491,
        0.961914,
        0.963068,
        0.965117,
        0.963808,
        0.963063,
        0.964887,
        0.96374,
        0.953329,
        0.963596,
        0.977264,
        0.966096,
        0.963822,
        0.965663,
        0.966029,
        0.967325,
        0.965825,
        0.961953,
        0.966737,
        0.956129,
        0.942236,
        0.958347,
        0.961105,
        0.954711,
        0.956736,
        0.960147,
        0.961381,
        0.962212,
        0.95935,
        0.960902,
        0.959365,
        0.959473,
        0.966765,
        0.968894,
        0.970786,
        0.972613,
        0.922196,
        0.953992,
        0.961257,
        0.958802,
        0.964085,
        0.961143,
        0.951468,
        0.963068,
        0.967363,
        0.963209,
        0.963553,
        0.965031,
        0.959275,
        0.963899,
        0.96576,
        0.966417,
        0.958968,
        0.957433,
        0.962133,
        0.945413,
        0.943369,
        0.957689,
        0.957753,
        0.953324,
        0.945936,
        0.963993,
        0.953077,
        0.956822,
        0.971657,
        0.96624,
        0.968584,
        0.970957,
        0.970224,
        0.967398,
        0.965146,
        0.961394,
        0.963883,
        0.959895,
        0.948638,
        0.959227,
        0.959502,
        0.951938,
        0.949742,
        0.949948,
        0.94765,
        0.943758,
        0.940496,
        0.935616,
        0.930908,
        0.927264,
        0.92804,
        0.926905,
        0.9292,
        0.932896,
        0.929157,
        0.931466,
        0.930478,
        0.929168,
        0.934502,
        0.941169,
        0.947941,
        0.946691,
        0.948533,
        0.940571,
        0.944579,
        0.977628,
        0.975537,
        0.97731,
        0.970867,
        0.962642,
        0.961202,
        0.963799,
        0.966099,
        0.970477,
        0.978759,
        0.982615,
        0.983227,
        0.979355,
        0.97773,
        0.978389,
        0.984599,
        0.976329,
        0.973276,
        0.975463,
        0.977068,
        0.982742,
        0.98943,
        0.972134,
        1.08606,
        1.06893,
        1.0742,
        1.08103,
        1.12238,
        1.14463,
        1.15578,
        1.17741,
        1.19254,
        1.20006,
        1.13775,
        0.930476,
        0.773811,
        0.889868,
        1.1192,
        1.23059,
        1.24967,
        1.235,
        1.2033,
        1.17773,
        1.15633,
        1.12284,
        1.10389,
        1.08634,
        1.06695,
        1.05988,
        1.05006,
        1.03396,
        1.03077,
        1.0315,
        1.02339,
        1.01133,
        1.0248,
        1.02255,
        1.01255,
        1.01085,
        1.01291,
        1.01446,
        1.00901,
        1.0037,
        1.00341,
        1.00302,
        0.999694,
        0.997802,
        0.991856,
        0.98883,
        0.989061,
        0.985004,
        0.982617,
        0.984097,
        0.970012,
        0.948631,
        0.949326,
        0.955128,
        0.950742,
        0.953489,
        0.943804,
        0.939613,
        0.908032,
        0.912652,
        0.944541,
        0.941592,
        0.940127,
        0.958214,
        0.969907,
        0.974812,
        0.975608,
        0.963557,
        0.974559,
        0.987592,
        0.981354,
        0.97566,
        0.961314,
        0.968206,
        0.973484,
        0.976977,
        0.973228,
        0.968001,
        0.969416,
        0.971566,
        0.970938,
        0.976686,
        0.991204,
        0.981324,
        0.976491,
        0.978113,
        0.981084,
        0.983662,
        0.982933,
        0.980497,
        0.977367,
        0.974102,
        0.976522,
        0.978293,
        0.972911,
        0.974423,
        0.975886,
        0.975221,
        0.970902,
        0.979502,
        0.978844,
        0.969031,
        0.971034,
        0.983289,
        0.984582,
        0.980029,
        0.974381,
        0.979897,
        0.97904,
        0.977147,
        0.974596,
        0.971767,
        0.966764,
        0.963735,
        0.964391,
        0.962336,
        0.95688,
        0.958704,
        0.954628,
        0.969831,
        0.9556,
        0.950778,
        0.961105,
        0.969931,
        0.981344,
        0.988839,
        0.986198,
        0.983529,
        0.990632,
        0.998176,
        0.998066,
        1.00046,
        1.00417,
        1.00019,
        1.00153,
        1.00396,
        1.0053,
        1.00194,
        0.996066,
        0.996824,
        1.00274,
        0.999159,
        1.00123,
        1.00535,
        0.999474,
        0.995984,
        0.999199,
        0.998244,
        0.998196,
        1.00039,
        1.00053,
        0.998103,
        0.996026,
        0.994368,
        0.992634,
        0.988597,
        0.981314,
        0.985319,
        0.990707,
        0.985775,
        0.988048,
        0.985467,
        0.982683,
        0.982898,
        0.98223,
        0.98166,
        0.977467,
        0.979939,
        0.978595,
        0.980049,
        0.976259,
        0.982681,
        0.989446,
        0.985149,
        0.98139,
        0.983296,
        0.985485,
        0.983949,
        0.979826,
        0.980145,
        0.974542,
        0.969168,
        0.767724,
        0.917474,
        0.988314,
        1.00434,
        0.996451,
        0.997292,
        0.988703,
        0.986084,
        0.986851,
        0.984574,
        0.982425,
        0.981432,
        0.980369,
        0.980574,
        0.974124,
        0.977706,
        0.975732,
        0.979978,
        0.975249,
        0.975843,
        0.977599,
        0.983256,
        0.981208,
        0.974632,
        0.972327,
        0.971149,
        0.969751,
        0.975177,
        0.975887,
        0.977045,
        0.975757,
        0.981358,
        0.975872,
        0.973428,
        0.977674,
        0.9773,
        0.977011,
        0.977115,
        0.97089,
        0.976726,
        0.979883,
        0.974371,
        0.964248,
        0.963604,
        0.967358,
        0.968317,
        0.96394,
        0.958122,
        0.960468,
        0.967544,
        0.974737,
        0.983247,
        0.976114,
        0.974555,
        0.966872,
        0.968033,
        0.952517,
        0.964281,
        0.970227,
        0.96869,
        0.964035,
        0.963194,
        0.96584,
        0.965404,
        0.963929,
        0.969861,
        0.981225,
        0.967202,
        0.973079,
        0.972995,
        0.974933,
        0.980608,
        0.982961,
        0.980285,
        0.977479,
        0.979885,
        0.984102,
        0.983008,
        0.984013,
        0.987258,
        0.985733,
        0.984779,
        0.984414,
        0.988985,
        0.995421,
        1.00177,
        0.998959,
        0.993949,
        0.995124,
        0.998651,
        1.00257,
        1.00645,
        1.00588,
        1.01074,
        1.00357,
        1.0041,
        1.00605,
        1.0092,
        1.00924,
        1.01008,
        1.01334,
        1.01375,
        1.01057,
        1.01087,
        1.01384,
        1.01191,
        1.0154,
        1.01366,
        1.01646,
        1.01418,
        1.01155,
        1.01471,
        1.01595,
        1.01389,
        1.01269,
        1.01401,
        1.01671,
        1.01552,
        1.01291,
        1.01827,
        1.01892,
        1.01784,
        1.01628,
        1.02059,
        1.02516,
        1.0218,
        1.01993,
        1.02091,
        1.02008,
        1.02219,
        1.02241,
        1.0218,
        1.02312,
        1.02555,
        1.02523,
        1.02173,
        1.0326,
        1.03078,
        1.02362,
        1.02379,
        1.02986,
        1.03147,
        1.02669,
        1.02749,
        1.02857,
        1.02434,
        1.02555,
        1.02799,
        1.02686,
        1.03192,
        1.02942,
        1.02424,
        1.02559,
        1.02762,
        1.02777,
        1.02609,
        1.01394,
        1.0038,
        0.994964,
        1.0113,
        1.02563,
        1.023,
        1.02261,
        1.02282,
        1.0219,
        1.0269,
        1.03403,
        1.03256,
        1.02756,
        1.03143,
        1.03258,
        1.03068,
        1.02885,
        0.989173,
        1.02469,
        1.04164,
        1.03962,
        1.0375,
        1.03679,
        1.03238,
        1.03075,
        1.03398,
        1.03414,
        1.03403,
        1.03886,
        1.03098,
        1.03055,
        1.02587,
        1.03024,
        1.02544,
        1.03217,
        1.03002,
        1.03013,
        1.02285,
        1.02075,
        1.02287,
        1.02271,
        1.0193,
        1.01503,
        1.01235,
        1.00483,
        0.997859,
        0.993691,
        0.995284,
        0.988887,
        0.983721,
        0.979929,
        0.973711,
        0.967505,
        0.965152,
        0.959814,
        0.961146,
        0.960539,
        0.953074,
        0.94627,
        0.945351,
        0.947372,
        0.947006,
        0.950596,
        0.952848,
        0.955761,
        0.956473,
        0.960038,
        0.960048,
        0.975074,
        0.981359,
        0.986831,
        0.991219,
        0.980739,
        0.975134,
        0.976755,
        0.971918,
        0.969682,
        0.973475,
        0.972885,
        0.972482,
        0.977683,
        0.970424,
        0.972734,
        0.97453,
        0.972397,
        0.968451,
        0.966558,
        0.963853,
        0.974664,
        0.982988,
        0.987484,
        0.997196,
        1.00403,
        1.07078,
        1.08018,
        1.08865,
        1.10516,
        1.13084,
        1.15606,
        1.17953,
        1.1998,
        1.22374,
        1.2345,
        1.19102,
        1.08686,
        1.09581,
        1.20179,
        1.26587,
        1.27522,
        1.26423,
        1.24042,
        1.21209,
        1.18176,
        1.14968,
        1.12561,
        1.1115,
        1.09751,
        1.08368,
        1.06872,
        1.06268,
        1.05454,
        1.05295,
        1.04483,
        1.03904,
        1.03487,
        1.03204,
        1.02807,
        1.0244,
        1.02656,
        1.02598,
        1.02318,
        1.02091,
        1.01494,
        1.01581,
        1.01604,
        1.01688,
        1.01426,
        1.01333,
        1.01263,
        1.0142,
        1.01347,
        1.01112,
        1.00773,
        1.00492,
        1.00677,
        1.00658,
        1.00628,
        1.00373,
        1.0025,
        0.99975,
        0.999948,
        1.00205,
        1.00196,
        1.00223,
        1.0012,
        0.995495,
        0.996887,
        1.00016,
        1.00139,
        1.00239,
        0.994484,
        0.992171,
        0.991535,
        0.993014,
        0.991355,
        0.986683,
        0.985439,
        0.988771,
        0.988745,
        0.986813,
        0.984404,
        0.983509,
        0.989783,
        0.986459,
        0.997293,
        0.997878,
        0.99279,
        0.989725,
        0.991111,
        0.989373,
        0.989064,
        0.991379,
        0.992974,
        0.992042,
        0.986986,
        0.988812,
        0.986906,
        0.990189,
        0.990806,
        0.987275,
        0.992153,
        0.991357,
        0.992631,
        0.990491,
        0.98677,
        0.989289,
        0.991424,
        0.992011,
        0.996609,
        1.00363,
        0.999879,
        1.00383,
        0.996061,
        0.999286,
        0.999452,
        0.99679,
        0.997393,
        0.996492,
        0.995723,
        1.00435,
        0.998657,
        0.998095,
        0.99571,
        0.998963,
        1.00039,
        1.00268,
        1.00849,
        1.00592,
        0.996449,
        0.995606,
        0.997025,
        0.999068,
        1.00344,
        0.999359,
        1.00025,
        1.00217,
        0.995885,
        0.909754,
        0.694417,
        0.536217,
        0.643037,
        0.875784,
        0.961476,
        1.01484,
        1.03076,
        1.04003,
        1.03428,
        1.02388,
        1.01217,
        1.00894,
        1.00344,
        1.0226,
        1.01908,
        1.02269,
        1.01595,
        1.01088,
        1.0055,
        1.00537,
        1.00624,
        1.00725,
        1.00682,
        1.01227,
        1.01487,
        1.01596,
        1.01629,
        1.00574,
        1.00311,
        1.00542,
        0.99833,
        1.00347,
        1.00512,
        1.00102,
        1.0054,
        1.00591,
        1.00087,
        1.00714,
        1.00301,
        0.999642,
        1.00379,
        1.00182,
        1.0008,
        1.00438,
        0.995037,
        0.994981,
        0.995152,
        0.994249,
        0.995288,
        0.993776,
        0.993427,
        1.00549,
        1.00044,
        1.00328,
        1.0021,
        1.0046,
        0.996619,
        0.977382,
        0.96545,
        0.969935,
        0.985249,
        1.00796,
        1.01267,
        1.01494,
        1.00662,
        1.01524,
        1.01458,
        1.01451,
        1.01387,
        1.01549,
        1.01606,
        1.0128,
        1.01887,
        1.0171,
        1.00842,
        1.00987,
        1.0113,
        1.01434,
        1.01205,
        1.00708,
        1.01323,
        1.01401,
        1.01068,
        1.02367,
        1.02112,
        1.02055,
        1.02258,
        1.01233,
        1.01908,
        1.01918,
        1.01616,
        1.01782,
        1.01203,
        1.01205,
        1.01044,
        1.01402,
        1.02425,
        1.02989,
        1.03339,
        1.03638,
        1.03768,
        1.03444,
        1.02478,
        1.02989,
        1.03842,
        1.03098,
        1.0476,
        1.04016,
        1.03368,
        1.03405,
        1.03587,
        1.03222,
        1.029,
        1.02468,
        1.0309,
        1.03582,
        1.03185,
        1.03662,
        1.04354,
        1.03521,
        1.03912,
        1.04384,
        1.04149,
        1.04113,
        1.03546,
        1.03587,
        1.03621,
        1.04233,
        1.04935,
        1.05522,
        1.05233,
        1.04615,
        1.04076,
        1.04022,
        1.04767,
        1.06019,
        1.05748,
        1.05667,
        1.05447,
        1.04731,
        1.04806,
        1.04257,
        1.04356,
        1.05084,
        1.04587,
        1.05312,
        1.06001,
        1.0549,
        1.05429,
        1.05097,
        1.0486,
        1.04897,
        1.05112,
        1.04311,
        1.04203,
        1.04954,
        1.04364,
        1.03235,
        1.03412,
        1.04473,
        1.03076,
        1.02646,
        1.04247,
        1.04048,
        1.04145,
        1.0439,
        1.03807,
        1.03984,
        1.0393,
        1.04269,
        1.04514,
        1.03912,
        1.036,
        1.04808,
        1.04777,
        1.03961,
        1.04705,
        1.05157,
        1.05113,
        1.05516,
        1.06394,
        1.05244,
        1.04724,
        1.06413,
        1.06209,
        1.05704,
        1.07033,
        1.05677,
        1.05944,
        1.05209,
        1.04047,
        1.02827,
        1.02954,
        1.04153,
        1.04907,
        1.04491,
        1.04562,
        1.05596,
        1.05074,
        1.04969,
        1.057,
        1.05467,
        1.04444,
        1.04532,
        1.0461,
        1.04164,
        1.03468,
        1.04237,
        1.04037,
        1.03889,
        1.03468,
        1.03919,
        1.03543,
        1.03469,
        1.03835,
        1.0313,
        1.03103,
        1.04362,
        1.0403,
        1.03517,
        1.03947,
        1.04184,
        1.03812,
        1.02701,
        1.03155,
        1.02655,
        1.03957,
        1.03419,
        1.02617,
        1.01964,
        1.02663,
        1.02878,
        1.03374,
        1.03085,
        1.02818,
        1.02168,
        1.01942,
        1.01698,
        1.00485,
        1.01831,
        1.01793,
        1.01461,
        1.01278,
        1.00959,
        1.01471,
        1.00881,
        1.00385,
        1.00289,
        1.06466,
        1.08301,
        1.02891,
        1.03066,
        1.01546,
        1.01424,
        1.01784,
        1.00089,
        0.995982,
        1.00466,
        1.00018,
        0.99459,
        0.993662,
        0.991375,
        0.993099,
        0.99485,
        0.987006,
        1.00085,
        1.01603,
        0.986006,
        0.990714,
        0.985082,
        0.984611,
        0.978919,
        0.979433,
        0.971156,
        0.975108,
        null,
        0.97081,
        0.964949,
        0.958118,
        0.960117,
        0.967572,
        0.976561,
        0.972201,
        0.975788,
        0.981441,
        0.977606,
        0.971711,
        0.973646,
        0.96324,
        0.975723,
        0.974965,
        0.986257,
        0.991706,
        0.996864,
        0.993702,
        1.07762,
        1.08973,
        1.10834,
        1.13676,
        1.22253,
        1.23404,
        1.25296,
        1.30352,
        1.3317,
        1.3309,
        1.32807,
        1.33812,
        1.35888,
        1.36377,
        1.3504,
        1.34113,
        1.31014,
        1.28427,
        1.27493,
        1.22811,
        1.19279,
        1.18469,
        1.17331,
        1.14635,
        1.1501,
        1.14557,
        1.14199,
        1.13117,
        1.11658,
        1.1137,
        1.10544,
        1.09929,
        1.09416,
        1.09122,
        1.08064,
        1.07404,
        1.07962,
        1.06881,
        1.07501,
        1.07436,
        1.06906,
        1.06441,
        1.07189,
        1.05605,
        1.06052,
        1.04908,
        1.065,
        1.06056,
        1.0469,
        1.05767,
        1.07638,
        1.05709,
        1.05422,
        1.05167,
        1.05668,
        1.04975,
        1.04234,
        1.04565,
        1.04366,
        1.04139,
        1.04009,
        1.03664,
        1.03074,
        1.03642,
        1.03269,
        1.03868,
        1.03182,
        1.02592,
        0.998682,
        0.753007,
        0.465702,
        0.568714,
        0.834214,
        0.98736,
        1.03636,
        1.04268,
        1.03632,
        1.03515,
        1.03532,
        1.02777,
        1.0217,
        1.02631,
        1.02658,
        1.01761,
        1.01618,
        1.01529,
        1.01393,
        1.01663,
        1.02175,
        1.00894,
        1.0121,
        1.01035,
        1.00832,
        1.00581,
        1.00564,
        0.985001,
        0.989922,
        1.01097,
        1.02561,
        1.0146,
        1.00952,
        1.01191,
        1.01381,
        1.0103,
        1.00537,
        1.00292,
        1.0015,
        1.00228,
        1.00492,
        1.0083,
        1.00888,
        1.0049,
        1.01295,
        1.0108,
        1.00468,
        1.0079,
        1.01544,
        1.01428,
        1.00557,
        1.01168,
        1.00143,
        0.950769,
        0.90985,
        0.940108,
        0.980071,
        1.00685,
        1.02777,
        1.03437,
        1.02572,
        1.022,
        1.02341,
        1.02699,
        1.03266,
        1.02604,
        1.02864,
        1.03765,
        1.02974,
        1.0319,
        1.03291,
        1.03029,
        1.02686,
        1.0285,
        1.0233,
        1.03413,
        1.03934,
        1.03202,
        1.02737,
        1.02772,
        1.0383,
        1.02822,
        1.02536,
        1.03874,
        1.04277,
        1.04026,
        1.03972,
        1.0377,
        1.04204,
        1.04552,
        1.02867,
        1.02828,
        1.03332,
        1.0278,
        1.02532,
        1.02629,
        1.0269,
        1.02988,
        1.01873,
        1.02782,
        1.02305,
        1.02523,
        1.02397,
        1.02074,
        1.02073,
        1.01495,
        1.01725,
        1.0186,
        1.01571,
        1.01509,
        1.01358,
        1.01319,
        1.01643,
        1.01303,
        1.01232,
        1.01689,
        1.02117,
        1.02041,
        1.01814,
        1.01788,
        1.02083,
        1.02069,
        1.01469,
        1.0149,
        1.01439,
        1.01247,
        1.02145,
        1.01491,
        1.01742,
        1.01287,
        1.01774,
        1.01301,
        1.02043,
        1.01976,
        1.01679,
        1.01314,
        1.01845,
        1.01953,
        1.01042,
        1.02497,
        1.02909,
        1.00898,
        1.01371,
        1.01265,
        1.0132,
        1.02277,
        1.01866,
        1.01904,
        1.0174,
        1.02048,
        1.02006,
        1.01865,
        1.01755,
        1.02142,
        1.01907,
        1.02583,
        1.01987,
        1.01903,
        1.01622,
        1.01757,
        1.01836,
        1.01242,
        1.02301,
        1.0296,
        1.04732,
        1.04211,
        1.0414,
        1.04045,
        1.03964,
        1.04275,
        1.04051,
        1.04517,
        1.05344,
        1.05424,
        1.05533,
        1.0586,
        1.05428,
        1.05567,
        1.06391,
        1.06382,
        1.05587,
        1.05996,
        1.06326,
        1.06066,
        1.0662,
        1.07286,
        1.0578,
        1.07461,
        1.08165,
        1.07582,
        1.07755,
        1.07289,
        1.07427,
        1.0792,
        1.07433,
        1.0687,
        1.06842,
        1.06804,
        1.06651,
        1.06868,
        1.06917,
        1.06457,
        1.06284,
        1.06609,
        1.06671,
        1.06439,
        1.07152,
        1.06935,
        1.06879,
        1.06382,
        1.06135,
        1.06114,
        1.06014,
        1.05891,
        1.05865,
        1.06144,
        1.0543,
        1.05684,
        1.05719,
        1.05734,
        1.06585,
        1.06898,
        1.05483,
        1.04444,
        1.03572,
        1.04284,
        1.05361,
        1.05793,
        1.05121,
        1.05291,
        1.05773,
        1.04872,
        1.03437,
        1.0521,
        1.05584,
        1.04851,
        1.05159,
        1.05564,
        1.05544,
        1.05758,
        1.05508,
        1.0538,
        1.06108,
        1.05557,
        1.04993,
        1.05124,
        1.0525,
        1.04891,
        1.05286,
        1.0493,
        1.05585,
        1.0495,
        1.04979,
        1.04195,
        1.04363,
        1.04647,
        1.04382,
        1.0406,
        1.03879,
        1.03712,
        1.03693,
        1.05174,
        1.04935,
        1.04591,
        1.04488,
        1.04105,
        1.03707,
        1.05649,
        1.04705,
        1.04062,
        1.03937,
        1.04688,
        1.04536,
        1.04824,
        1.04835,
        1.04202,
        1.03996,
        1.04549,
        1.05221,
        1.04358,
        1.04223,
        1.04996,
        1.05053,
        1.04707,
        1.04263,
        1.04093,
        1.041,
        1.03503,
        1.03411,
        1.03448,
        1.03927,
        1.04636,
        1.03999,
        1.04429,
        1.05254,
        1.04521,
        1.04036,
        1.03598,
        1.03815,
        1.03534,
        1.03733,
        1.03413,
        1.03497,
        1.03937,
        1.04234,
        1.03729,
        1.035,
        1.03058,
        1.03278,
        1.03335,
        1.03443,
        1.03141,
        1.02517,
        1.03097,
        1.03243,
        1.03186,
        1.03528,
        1.03558,
        1.03316,
        1.0308,
        1.02679,
        1.02409,
        1.01981,
        1.02079,
        1.01638,
        1.01763,
        1.01636,
        1.01097,
        1.01371,
        1.01595,
        1.01155,
        1.0101,
        1.01245,
        1.01244,
        1.01816,
        1.01297,
        1.01292,
        1.01418,
        1.02082,
        1.0065,
        1.01627,
        0.999375,
        0.99362,
        0.988757,
        0.982134,
        0.976699,
        0.979755,
        0.9801,
        0.966251,
        0.953405,
        0.954036,
        0.947926,
        0.940437,
        0.939605,
        0.943572,
        0.93969,
        0.931944,
        0.926038,
        0.921411,
        0.919672,
        0.924231,
        0.925451,
        0.926684,
        0.93113,
        0.93926,
        0.942348,
        0.943593,
        0.94227,
        0.958148,
        0.958094,
        0.957461,
        0.962179,
        0.956185,
        0.950813,
        0.957846,
        0.955991,
        0.951748,
        0.944581,
        0.932459,
        0.940468,
        0.966069,
        0.970154,
        0.962269,
        0.960861,
        0.958564,
        0.961137,
        0.961121,
        0.963942,
        0.974745,
        0.986045,
        0.978608,
        0.982224,
        0.977054,
        1.03499,
        1.04994,
        1.05785,
        1.06137,
        1.02007,
        0.835377,
        0.597855,
        0.592782,
        0.886897,
        1.1439,
        1.25893,
        1.29721,
        1.30958,
        1.31147,
        1.29531,
        1.26997,
        1.35459,
        1.33614,
        1.31071,
        1.27733,
        1.24503,
        1.21095,
        1.17765,
        1.15669,
        1.14621,
        1.13568,
        1.12246,
        1.11146,
        1.10227,
        1.09497,
        1.08689,
        1.09238,
        1.08257,
        1.08305,
        1.06575,
        1.07904,
        1.05925,
        1.06138,
        1.06808,
        1.06045,
        1.05462,
        1.05572,
        1.05376,
        1.06277,
        1.06963,
        1.07351,
        1.07918,
        1.08235,
        1.07691,
        1.07196,
        1.07234,
        1.05574,
        0.992829,
        0.912695,
        0.922642,
        1.01396,
        1.0688,
        1.06997,
        1.08022,
        1.07613,
        1.0817,
        1.07866,
        1.08601,
        1.08137,
        1.07773,
        1.07646,
        1.07634,
        1.06887,
        1.07311,
        1.06994,
        1.06733,
        1.06408,
        1.06354,
        1.05746,
        1.0547,
        1.05471,
        1.05373,
        1.06131,
        1.05891,
        1.0455,
        1.03549,
        1.03805,
        1.0442,
        1.05591,
        1.047,
        1.05064,
        1.0667,
        1.05675,
        1.05311,
        1.06261,
        1.061,
        1.05375,
        1.04716,
        1.05395,
        1.05398,
        1.05858,
        1.05496,
        1.05106,
        1.05311,
        1.05458,
        1.04968,
        1.05077,
        1.05035,
        1.04235,
        1.0464,
        1.05079,
        1.04578,
        1.04108,
        1.04889,
        1.04561,
        1.05986,
        1.05586,
        1.06018,
        1.05911,
        1.06162,
        1.0597,
        1.06316,
        1.02962,
        1.05986,
        1.05633,
        1.06064,
        1.06029,
        1.06151,
        1.05535,
        1.05826,
        1.06332,
        1.05987,
        1.05972,
        1.06357,
        1.06057,
        1.05627,
        1.05734,
        1.05935,
        1.04331,
        1.01824,
        1.04274,
        1.04652,
        1.05075,
        1.04315,
        1.04199,
        1.04694,
        1.03549,
        1.04218,
        1.03711,
        1.03715,
        1.04985,
        1.04241,
        1.04434,
        1.03812,
        1.03877,
        1.03835,
        1.04293,
        1.0338,
        1.03121,
        1.03172,
        1.03727,
        1.03637,
        1.03091,
        1.02667,
        1.02402,
        1.0256,
        1.02142,
        1.02397,
        1.02016,
        1.02402,
        1.0243,
        1.03313,
        1.03594,
        1.03012,
        1.03408,
        1.03769,
        1.03878,
        1.03489,
        1.03615,
        1.03828,
        1.03934,
        1.04192,
        1.04069,
        1.04094,
        1.04612,
        1.04653,
        1.04687,
        1.05481,
        1.04962,
        1.04909,
        1.04202,
        1.04994,
        1.05759,
        1.072,
        1.0364,
        1.0447,
        1.05281,
        1.06494,
        1.06636,
        1.07204,
        1.07512,
        1.08217,
        1.08031,
        1.08192,
        1.08238,
        1.08504,
        1.08241,
        1.08274,
        1.07683,
        1.08076,
        1.09112,
        1.09236,
        1.09135,
        1.08746,
        1.0822,
        1.08812,
        1.10059,
        1.10191,
        1.10027,
        1.10578,
        1.10186,
        1.09405,
        1.10407,
        1.10756,
        1.11199,
        1.1018,
        1.11153,
        1.10471,
        1.10665,
        1.10032,
        1.09729,
        1.09521,
        1.10181,
        1.09234,
        1.09691,
        1.09693,
        1.08697,
        1.07811,
        1.08207,
        1.08574,
        1.08434,
        1.0798,
        1.07699,
        1.06875,
        1.06312,
        1.06872,
        1.06579,
        1.06421,
        1.05614,
        1.05509,
        1.05285,
        1.0594,
        1.05194,
        1.0406,
        1.04345,
        1.0598,
        1.05368,
        1.06133,
        1.06397,
        1.06207,
        1.05473,
        1.05883,
        1.06207,
        1.06025,
        1.05989,
        1.05892,
        1.05748,
        1.05396,
        1.0537,
        1.05594,
        1.05338,
        1.05771,
        1.05419,
        1.0493,
        1.04844,
        1.04741,
        1.04853,
        1.04383,
        1.03859,
        1.04079,
        1.0425,
        1.04069,
        1.04228,
        1.04118,
        1.04155,
        1.03282,
        1.03447,
        1.03612,
        1.0263,
        1.01628,
        1.03714,
        1.01397,
        1.02025,
        1.00514,
        1.00895,
        1.01025,
        1.02036,
        1.01275,
        1.01452,
        1.01346,
        1.01784,
        1.01704,
        1.01698,
        1.00377,
        1.00528,
        1.00584,
        1.007,
        1.00632,
        1.00119,
        0.995577,
        0.991909,
        0.991109,
        0.992567,
        1.00207,
        0.997697,
        0.995147,
        0.994592,
        1.00318,
        1.0127,
        1.01387,
        1.01893,
        1.01966,
        1.00863,
        1.03297,
        1.02354,
        1.02609,
        1.01966,
        1.03134,
        1.02687,
        1.03565,
        1.03492,
        1.03502,
        1.03762,
        1.03717,
        1.0387,
        1.04286,
        1.0376,
        1.03531,
        1.03321,
        1.03752,
        1.0396,
        1.0444,
        1.04093,
        1.03463,
        1.03342,
        1.03875,
        1.04206,
        1.03707,
        1.03638,
        1.03247,
        1.03779,
        1.03852,
        1.03812,
        1.04061,
        1.0372,
        1.0361,
        1.03494,
        1.02846,
        1.05111,
        1.02589,
        1.03448,
        1.02636,
        1.03419,
        1.03586,
        1.03499,
        1.04235,
        1.04207,
        1.03447,
        1.03245,
        1.03124,
        1.03799,
        1.03473,
        1.03383,
        1.02202,
        1.02369,
        1.02934,
        1.01996,
        1.02062,
        1.02897,
        1.02958,
        1.03088,
        1.03349,
        1.0379,
        1.04308,
        1.04237,
        1.03901,
        1.03924,
        1.04331,
        1.03651,
        1.03761,
        1.04105,
        1.03753,
        1.03524,
        1.03703,
        1.03344,
        1.03531,
        1.0319,
        1.03792,
        1.02732,
        1.03155,
        1.03099,
        1.02559,
        1.02141,
        1.0292,
        1.02851,
        1.02378,
        1.02979,
        1.04033,
        1.03732,
        1.03656,
        1.01527,
        0.899198,
        0.636972,
        0.50584,
        0.67031,
        0.892041,
        0.998049,
        1.02342,
        1.02268,
        1.0095,
        0.991462,
        0.981165,
        0.968277,
        0.970487,
        0.981907,
        0.966436,
        0.966687,
        0.968049,
        0.967137,
        0.973296,
        0.975124,
        0.977981,
        0.991502,
        0.994776,
        0.996237,
        0.995444,
        1.00487,
        0.994884,
        1.0083,
        1.0207,
        1.0262,
        1.01703,
        1.0044,
        1.01002,
        1.02374,
        1.01492,
        1.02015,
        1.01846,
        1.02395,
        1.01486,
        1.02634,
        1.02727,
        1.01236,
        0.945683,
        0.802313,
        0.844541,
        0.932752,
        0.98771,
        1.00925,
        1.00525,
        1.00607,
        1.00866,
        1.02011,
        1.11402,
        1.12878,
        1.16105,
        1.21096,
        1.22676,
        1.26137,
        1.30478,
        1.3306,
        1.37265,
        1.38902,
        1.39561,
        1.41116,
        1.412,
        1.3918,
        1.37086,
        1.3381,
        1.31948,
        1.28642,
        1.25415,
        1.21987,
        1.20616,
        1.17977,
        1.16208,
        1.14918,
        1.1439,
        1.13411,
        1.1287,
        1.11931,
        1.11158,
        1.10981,
        1.11155,
        1.10636,
        1.10219,
        1.10443,
        1.10313,
        1.09733,
        1.09674,
        1.09379,
        1.08812,
        1.08731,
        1.07688,
        1.0759,
        1.06543,
        1.06723,
        1.06134,
        1.06135,
        1.05395,
        1.0527,
        1.05175,
        1.07324,
        1.06153,
        1.05379,
        1.05043,
        1.06211,
        1.06606,
        1.07066,
        1.08077,
        1.08911,
        1.06784,
        1.06656,
        1.06972,
        1.0732,
        1.07328,
        1.07604,
        1.0711,
        1.06805,
        1.06648,
        1.0705,
        1.06654,
        1.07079,
        1.07029,
        1.0721,
        1.06606,
        1.07062,
        1.07594,
        1.07691,
        1.07605,
        1.0681,
        1.05963,
        1.0678,
        1.06031,
        1.05874,
        1.0636,
        1.05867,
        1.06641,
        1.07121,
        1.06677,
        1.06915,
        1.07249,
        1.07685,
        1.07927,
        1.07044,
        1.06579,
        1.06439,
        1.06606,
        1.05994,
        1.06427,
        1.06349,
        1.06253,
        1.06391,
        1.06317,
        1.06013,
        1.06389,
        1.05801,
        1.07598,
        1.06622,
        1.06978,
        1.06949,
        1.06799,
        1.06857,
        1.06856,
        1.06174,
        1.06079,
        1.05278,
        1.06285,
        1.05722,
        1.0649,
        1.05766,
        1.05865,
        1.05413,
        1.06327,
        1.07077,
        1.06941,
        1.06641,
        1.07154,
        1.06177,
        1.06,
        1.05843,
        1.05036,
        1.04222,
        1.05141,
        1.0635,
        1.06406,
        1.06775,
        1.0686,
        1.06596,
        1.06133,
        1.05844,
        1.05841,
        1.06218,
        1.0663,
        1.05793,
        1.0577,
        1.05644,
        1.04937,
        1.04693,
        1.04675,
        1.04805,
        1.0386,
        1.04113,
        1.03758,
        1.01138,
        1.03678,
        1.03635,
        1.03414,
        1.03576,
        1.03629,
        1.03402,
        1.02601,
        1.02761,
        1.02502,
        1.03418,
        1.0371,
        1.0273,
        1.03038,
        1.03248,
        1.03349,
        1.02229,
        1.0229,
        1.02388,
        1.02572,
        1.00992,
        1.01426,
        1.0046,
        0.999681,
        0.987385,
        0.983867,
        0.975874,
        0.990373,
        0.986628,
        0.992563,
        0.98055,
        0.988533,
        1.004,
        1.01558,
        1.02302,
        1.03087,
        1.03785,
        1.03425,
        1.03877,
        1.04595,
        1.02997,
        1.01636,
        1.02603,
        1.0431,
        1.05512,
        1.06027,
        1.06215,
        1.06342,
        1.06262,
        1.06173,
        1.06616,
        1.06331,
        1.06533,
        1.07313,
        null,
        1.06193,
        1.06157,
        1.06122,
        1.05952,
        1.05842,
        1.06095,
        1.05742,
        1.05144,
        1.05583,
        1.05392,
        1.04814,
        1.05207,
        1.05533,
        1.05404,
        1.04874,
        1.04252,
        1.04327,
        1.05014,
        1.04277,
        1.04138,
        1.03768,
        1.03781,
        1.02691,
        1.01588,
        1.02102,
        1.03114,
        1.03144,
        1.02893,
        1.02579,
        1.02527,
        1.01787,
        1.00137,
        0.995272,
        1.0153,
        1.03147,
        1.02798,
        1.01809,
        1.01855,
        1.02564,
        1.02494,
        1.02023,
        1.02712,
        1.02092,
        1.02321,
        1.0218,
        1.0188,
        1.01874,
        1.02217,
        1.02469,
        1.02161,
        1.01604,
        1.01971,
        1.02227,
        1.02456,
        1.0249,
        1.02204,
        0.999954,
        0.995811,
        1.00754,
        1.01525,
        1.01787,
        1.01759,
        1.01118,
        1.02232,
        1.01117,
        1.01403,
        1.02462,
        1.02667,
        1.02568,
        1.02458,
        1.02378,
        1.02526,
        1.02698,
        1.02168,
        1.02322,
        1.02747,
        1.02328,
        1.01172,
        1.01872,
        1.02819,
        1.03167,
        1.0296,
        1.02779,
        1.03089,
        1.0321,
        1.03106,
        1.03643,
        1.03067,
        1.03068,
        1.03266,
        1.03266,
        1.03682,
        1.03236,
        1.0252,
        1.03304,
        1.03442,
        1.02025,
        1.02651,
        1.02985,
        1.01779,
        1.03074,
        1.03557,
        1.03019,
        1.02718,
        1.02682,
        1.03034,
        1.04143,
        1.03256,
        1.01229,
        1.03729,
        1.03799,
        1.03399,
        1.02892,
        1.02914,
        1.02688,
        1.02621,
        1.0306,
        1.02972,
        1.02331,
        1.02707,
        1.02561,
        1.02226,
        1.02749,
        1.02381,
        1.02026,
        1.01988,
        1.01997,
        1.02205,
        1.02517,
        1.02247,
        1.01967,
        1.01683,
        1.01751,
        1.02023,
        1.01922,
        1.01875,
        1.00243,
        0.94774,
        0.892554,
        0.897522,
        0.956369,
        1.00259,
        1.03465,
        1.0112,
        1.02431,
        1.02536,
        1.02121,
        1.01892,
        1.02041,
        1.02345,
        1.02233,
        1.01845,
        1.02073,
        1.02362,
        1.01674,
        1.02352,
        1.01875,
        1.0184,
        1.02453,
        1.0261,
        1.02422,
        1.02267,
        1.02092,
        1.0191,
        1.02113,
        1.02427,
        1.01859,
        1.01013,
        1.01052,
        1.01831,
        1.00529,
        0.997906,
        0.998251,
        0.994582,
        0.986451,
        0.97847,
        0.971239,
        0.959688,
        0.963068,
        0.960946,
        0.951898,
        0.962098,
        0.970474,
        0.959919,
        0.953227,
        0.9558,
        0.951619,
        0.950071,
        0.96118,
        0.975118,
        0.961373,
        0.985488,
        0.992337,
        1.00147,
        1.00547,
        1.01149,
        1.01172,
        1.0047,
        1.00247,
        0.997745,
        0.99836,
        1.00144,
        1.0062,
        1.00716,
        1.01073,
        1.00858,
        1.00227,
        0.999774,
        1.00258,
        1.00248,
        0.99353,
        0.985148,
        0.992752,
        0.998414,
        0.992322,
        1.00062,
        1.03627,
        1.04403,
        1.06414,
        1.08529,
        1.10485,
        1.12941,
        1.15525,
        1.18189,
        1.21988,
        1.25079,
        1.27,
        1.30671,
        1.33177,
        1.34772,
        1.35607,
        1.36179,
        1.35767,
        1.28136,
        1.25512,
        1.22733,
        1.2026,
        1.17416,
        1.15789,
        1.14359,
        1.13198,
        1.12581,
        1.11553,
        1.10369,
        1.10368,
        1.10338,
        1.08466,
        1.07742,
        1.08319,
        1.08214,
        1.09237,
        1.07476,
        1.06205,
        1.06915,
        1.07611,
        1.07383,
        1.0735,
        1.07356,
        1.06984,
        1.06442,
        1.07882,
        1.07273,
        1.0548,
        1.06173,
        1.06294,
        1.06195,
        1.06673,
        1.06728,
        1.06004,
        1.05775,
        1.06086,
        1.06379,
        1.06562,
        1.06271,
        1.06076,
        1.05857,
        1.05723,
        1.05899,
        1.05785,
        1.05609,
        1.05997,
        1.05888,
        1.05294,
        1.05825,
        1.04956,
        1.05404,
        1.05664,
        1.0532,
        1.05109,
        1.05042,
        1.04685,
        1.04343,
        1.04315,
        1.04168,
        1.04611,
        1.04967,
        1.05996,
        1.02921,
        1.03722,
        1.04562,
        1.04608,
        1.03851,
        1.03649,
        1.04242,
        1.04173,
        1.03353,
        1.03345,
        1.0469,
        1.03268,
        1.0373,
        1.03641,
        1.03236,
        1.03942,
        1.04124,
        1.03798,
        1.03376,
        1.03024,
        1.03465,
        1.03788,
        1.03898,
        1.03375,
        1.02561,
        1.02514,
        1.02355,
        1.02375,
        1.02841,
        1.02963,
        1.02337,
        1.02062,
        1.03065,
        1.03792,
        1.0188,
        1.01539,
        1.03903,
        1.02749,
        1.0205,
        1.01982,
        1.02176,
        1.02932,
        1.03069,
        1.00768,
        1.01385,
        1.02903,
        1.02971,
        1.01728,
        1.01722,
        1.01344,
        1.01725,
        1.01284,
        1.00051,
        1.00187,
        1.00602,
        1.008,
        1.00215,
        null,
        1.04994,
        1.05882,
        1.06564,
        1.06926,
        1.06996,
        1.07492,
        1.08173,
        1.07791,
        1.08006,
        1.07829,
        1.07383,
        1.07686,
        1.07654,
        1.07429,
        1.07315,
        1.07166,
        1.07039,
        1.07265,
        1.07482,
        1.07063,
        1.06846,
        1.06933,
        1.06728,
        1.06424,
        1.06186,
        1.05997,
        1.05868,
        1.05594,
        1.052,
        1.0499,
        1.05219,
        1.05743,
        1.05294,
        1.05317,
        1.04114,
        1.03795,
        1.04543,
        1.05158,
        1.0316,
        1.0285,
        1.04899,
        1.05859,
        1.04471,
        1.02847,
        1.03829,
        1.03557,
        1.04277,
        1.03642,
        1.04376,
        1.04252,
        1.03962,
        1.0398,
        1.03831,
        1.03784,
        1.04049,
        1.03995,
        1.03668,
        1.03182,
        1.03718,
        1.03664,
        1.03608,
        1.03369,
        1.03877,
        1.03828,
        1.02751,
        1.02832,
        1.03151,
        1.02338,
        1.02123,
        1.02625,
        1.0398,
        1.02001,
        1.01811,
        1.02535,
        1.02135,
        1.02147,
        1.02196,
        1.0233,
        1.02429,
        1.02401,
        1.02542,
        1.02779,
        1.02434,
        1.02041,
        1.01965,
        1.02115,
        1.02525,
        1.02595,
        1.02614,
        1.02494,
        1.02163,
        1.01927,
        1.02034,
        1.02174,
        1.01949,
        1.01735,
        1.01855,
        1.01868,
        1.02106,
        1.0162,
        1.01723,
        1.02083,
        1.01718,
        1.01132,
        1.01538,
        1.0211,
        1.01804,
        1.01796,
        1.01517,
        1.00766,
        1.01015,
        1.01303,
        1.02326,
        1.02159,
        1.01291,
        1.018,
        1.02362,
        1.02202,
        1.01792,
        1.01454,
        1.0167,
        1.02107,
        1.01928,
        1.0099,
        0.938537,
        0.717674,
        0.708551,
        0.857907,
        0.973009,
        1.01724,
        1.0295,
        1.03224,
        1.03484,
        1.03766,
        1.03434,
        1.03149,
        1.0258,
        1.02621,
        1.03162,
        1.03409,
        1.03375,
        1.03034,
        1.02726,
        1.02468,
        1.02266,
        1.02415,
        1.02928,
        1.03309,
        1.03092,
        1.03088,
        1.0251,
        1.02713,
        1.03194,
        1.01642,
        1.03143,
        1.03365,
        1.00828,
        1.02895,
        1.02827,
        1.01544,
        1.01871,
        1.02111,
        1.01876,
        1.02076,
        1.01471,
        1.01695,
        1.01434,
        1.00646,
        1.0025,
        1.00723,
        1.01052,
        1.0147,
        1.00522,
        0.99966,
        1.00629,
        1.01167,
        1.01256,
        1.01705,
        1.01802,
        1.02323,
        1.01374,
        1.01955,
        1.02323,
        1.01649,
        1.01767,
        1.02858,
        1.03732,
        1.02224,
        1.02099,
        1.03509,
        1.02215,
        1.01167,
        1.02606,
        1.02082,
        1.02145,
        1.0261,
        1.0313,
        1.0304,
        1.02989,
        1.02736,
        1.02474,
        1.02527,
        1.02629,
        1.02315,
        1.01892,
        1.02073,
        1.02555,
        1.02653,
        1.02414,
        1.02555,
        1.02877,
        1.02767,
        1.02636,
        1.02691,
        1.02839,
        1.02428,
        1.02093,
        1.02726,
        1.02389,
        1.01168,
        1.02111,
        1.02864,
        1.02036,
        1.02132,
        1.02019,
        1.01842,
        1.01996,
        1.02165,
        1.02136,
        1.01825,
        1.01539,
        1.02113,
        1.02882,
        1.00932,
        1.01332,
        1.01733,
        1.01029,
        0.96456,
        0.999747,
        1.01791,
        1.01892,
        1.01787,
        1.01856,
        1.01963,
        1.01648,
        1.01366,
        1.01094,
        1.01623,
        1.0132,
        1.01147,
        0.997365,
        0.999621,
        0.998525,
        0.993852,
        0.986352,
        0.979012,
        0.977736,
        0.974802,
        0.960636,
        0.950693,
        0.943028,
        0.948808,
        0.961063,
        0.967797,
        0.938489,
        0.932588,
        0.939275,
        0.943656,
        0.9422,
        0.94105,
        0.943981,
        0.946844,
        0.949543,
        0.958986,
        0.967209,
        0.971532,
        0.976691,
        0.968205,
        0.985754,
        0.982127,
        0.974764,
        0.975321,
        0.977834,
        0.979845,
        0.982828,
        0.9822,
        0.978839,
        0.986219,
        0.97725,
        0.983592,
        0.983692,
        0.990777,
        0.977351,
        0.982037,
        0.988152,
        0.990249,
        0.990868,
        0.988582,
        0.987237,
        1.05399,
        1.06991,
        1.08982,
        1.11058,
        1.13397,
        1.15647,
        1.18225,
        1.21278,
        1.25448,
        1.28387,
        1.30016,
        1.34456,
        1.35929,
        1.36705,
        1.37419,
        1.37225,
        1.362,
        1.34187,
        1.31568,
        1.28818,
        1.26917,
        1.24068,
        1.21817,
        1.19138,
        1.16431,
        1.14968,
        1.13895,
        1.12891,
        1.12148,
        1.11251,
        1.10661,
        1.10684,
        1.09883,
        1.09609,
        1.07752,
        1.0602,
        1.08693,
        1.07821,
        1.07486,
        1.06297,
        null,
        1.08935,
        1.08457,
        1.0855,
        1.08979,
        1.09007,
        1.09114,
        1.08704,
        1.08556,
        1.08182,
        1.08233,
        1.07543,
        1.07379,
        1.078,
        1.07261,
        1.07478,
        1.07166,
        1.0712,
        1.0673,
        1.06454,
        1.06733,
        1.06673,
        1.06639,
        1.05852,
        1.04609,
        1.0697,
        1.06836,
        1.06534,
        1.06369,
        1.06502,
        1.05806,
        1.05229,
        1.05152,
        1.055,
        1.05914,
        1.06154,
        1.06295,
        1.0606,
        1.0639,
        1.06758,
        1.07566,
        1.07515,
        1.07444,
        1.07951,
        1.0752,
        1.07328,
        1.07388,
        1.0765,
        1.08019,
        1.08126,
        1.08007,
        1.07995,
        1.08023,
        1.08332,
        1.08543,
        1.07574,
        1.07874,
        1.08139,
        1.08589,
        1.08529,
        1.08631,
        1.08843,
        1.09664,
        1.10724,
        1.10176,
        1.08681,
        1.09276,
        1.09416,
        1.09249,
        1.09259,
        1.09994,
        1.10554,
        1.11167,
        1.09208,
        1.09667,
        1.10643,
        1.10801,
        1.11111,
        1.11483,
        1.11484,
        1.11637,
        1.11451,
        1.12353,
        1.12195,
        1.12185,
        1.12039,
        1.12466,
        1.12781,
        1.12525,
        1.12279,
        1.12015,
        1.11827,
        1.11801,
        1.11852,
        1.11527,
        1.10672,
        1.10786,
        1.11175,
        1.10986,
        1.11374,
        1.11555,
        1.11682,
        1.11253,
        1.10894,
        1.10535,
        1.10636,
        1.10796,
        1.10446,
        1.10097,
        1.10325,
        1.10705,
        1.10867,
        1.10035,
        1.10065,
        1.11143,
        1.09154,
        1.08821,
        1.09554,
        1.096,
        1.09354,
        1.09505,
        1.09381,
        1.09147,
        1.08952,
        1.08495,
        1.08637,
        1.08659,
        1.08553,
        1.08782,
        1.09186,
        1.08906,
        1.08321,
        1.08369,
        1.08625,
        1.0835,
        1.07625,
        1.07189,
        1.07171,
        1.07252,
        1.07218,
        1.06817,
        1.06372,
        1.06406,
        1.05934,
        1.06538,
        1.07991,
        1.04932,
        1.05952,
        1.06619,
        1.05779,
        1.04329,
        1.04078,
        1.04492,
        1.04196,
        1.04125,
        1.04527,
        1.0342,
        1.04537,
        1.03842,
        1.03173,
        1.03492,
        1.04041,
        0.973917,
        0.815462,
        0.634102,
        0.58225,
        0.755542,
        0.963182,
        1.04009,
        1.05981,
        1.05536,
        1.04854,
        1.04506,
        1.0458,
        1.04327,
        1.05159,
        1.04705,
        1.02893,
        1.04032,
        1.04671,
        1.02722,
        1.03388,
        1.03324,
        1.03795,
        1.04837,
        1.015,
        1.02105,
        1.02923,
        1.02771,
        0.991903,
        0.938746,
        0.93497,
        0.976545,
        1.01702,
        1.03268,
        1.02989,
        1.02504,
        1.02824,
        1.03316,
        1.03701,
        1.03406,
        1.04389,
        1.0383,
        1.02497,
        1.02647,
        1.03216,
        1.03103,
        1.03249,
        1.03141,
        1.02955,
        1.03191,
        1.03163,
        1.02768,
        1.031,
        1.03327,
        1.03299,
        1.02603,
        1.02793,
        1.03289,
        1.03759,
        1.02541,
        1.02432,
        1.02632,
        1.025,
        1.02611,
        1.03047,
        1.03233,
        1.03151,
        1.02854,
        1.02162,
        1.02656,
        1.02141,
        1.02452,
        1.02381,
        1.02747,
        1.02466,
        1.02061,
        1.02275,
        1.02977,
        1.03284,
        1.02501,
        1.02349,
        1.03022,
        1.02253,
        1.01127,
        1.02296,
        1.02694,
        1.021,
        1.02723,
        1.03114,
        1.03124,
        1.02967,
        1.02509,
        1.03159,
        1.03746,
        1.01961,
        1.01623,
        1.02863,
        1.02894,
        1.0267,
        1.02837,
        1.02967,
        1.02498,
        1.03533,
        1.03239,
        1.02607,
        1.02559,
        1.02975,
        1.0345,
        1.03659,
        1.0314,
        1.0318,
        1.03097,
        1.0236,
        1.02362,
        1.03322,
        1.03565,
        1.03405,
        1.03635,
        1.03364,
        1.03596,
        1.03525,
        1.03576,
        1.03455,
        1.03134,
        1.03271,
        1.03085,
        1.03013,
        1.02207,
        1.01618,
        1.01914,
        1.04344,
        1.05727,
        1.05694,
        1.05805,
        1.06392,
        1.06701,
        1.0728,
        1.07854,
        1.082,
        1.07919,
        1.08154,
        1.07947,
        1.08008,
        null,
        1.01206,
        1.01257,
        1.01308,
        1.01362,
        1.01526,
        1.01413,
        1.00714,
        1.01006,
        1.01,
        1.02363,
        1.0279,
        1.02117,
        1.01202,
        1.01143,
        1.01038,
        1.0064,
        1.00574,
        1.00386,
        1.00461,
        1.00582,
        1.00795,
        1.00456,
        0.998127,
        1.01123,
        1.0114,
        1.00214,
        1.00558,
        1.00206,
        1.00032,
        1.00115,
        1.00104,
        1.0021,
        1.00267,
        1.0009,
        0.999651,
        1.00074,
        1.0024,
        1.00192,
        0.998728,
        0.99628,
        0.991201,
        0.995121,
        0.990713,
        0.991276,
        0.987335,
        0.990412,
        0.988561,
        0.98725,
        0.982517,
        0.984693,
        0.992352,
        0.989905,
        0.985931,
        0.988974,
        0.989223,
        0.986509,
        0.990765,
        0.998387,
        0.998339,
        0.982546,
        0.975392,
        0.982603,
        0.974983,
        0.971925,
        0.978024,
        0.980374,
        0.974822,
        0.964832,
        0.962444,
        0.95643,
        0.946208,
        0.964158,
        0.955771,
        0.957438,
        0.96624,
        0.964523,
        0.976111,
        0.979221,
        0.976964,
        0.984067,
        0.985795,
        0.984339,
        0.979342,
        0.983264,
        0.985329,
        0.9874,
        0.980545,
        0.976665,
        0.976802,
        0.980425,
        0.982323,
        0.978759,
        0.978783,
        0.978138,
        0.982479,
        0.981068,
        0.981871,
        0.983938,
        0.983058,
        0.978739,
        1.03081,
        1.0305,
        1.00088,
        0.991126,
        0.988192,
        0.978638,
        0.980452,
        0.985641,
        0.986439,
        0.986319,
        0.986285,
        0.989396,
        1.00827,
        1.01887,
        0.990091,
        0.991435,
        0.989799,
        0.986163,
        0.988064,
        0.991875,
        0.984094,
        0.978687,
        0.985299,
        0.986224,
        0.990139,
        0.989536,
        0.989844,
        0.99161,
        0.990318,
        0.989134,
        0.988499,
        0.99289,
        0.994557,
        0.991418,
        0.994154,
        0.989781,
        0.989732,
        0.994368,
        0.993221,
        0.994992,
        0.997317,
        0.991729,
        0.999309,
        0.998846,
        1.00009,
        1.00137,
        1.00263,
        1.00035,
        1.00248,
        1.00247,
        1.00283,
        1.00554,
        1.01017,
        1.00955,
        1.00683,
        1.00899,
        1.01009,
        1.01476,
        1.00984,
        1.01099,
        1.02469,
        1.01666,
        1.01518,
        1.01535,
        1.01709,
        1.01461,
        1.01906,
        1.02943,
        1.03557,
        1.0238,
        1.02495,
        1.02693,
        1.02267,
        1.02458,
        1.0298,
        1.02886,
        1.02744,
        1.0329,
        1.03841,
        1.03604,
        1.03186,
        1.03106,
        1.03056,
        1.02996,
        1.02898,
        1.03393,
        1.03769,
        1.03977,
        1.03458,
        1.03673,
        1.03969,
        1.04019,
        1.03985,
        1.03906,
        1.0394,
        1.0404,
        1.04167,
        1.04244,
        1.04417,
        1.04578,
        1.04341,
        1.04398,
        1.04658,
        1.04812,
        1.04803,
        1.04636,
        1.04937,
        1.04362,
        1.04208,
        1.05449,
        1.05213,
        1.05164,
        1.04555,
        1.04811,
        1.04787,
        1.04624,
        1.04785,
        1.05017,
        1.04684,
        1.04823,
        1.05181,
        1.04993,
        1.05342,
        1.05466,
        1.0531,
        1.06076,
        1.05984,
        1.04326,
        1.03353,
        1.02953,
        1.01929,
        1.00878,
        1.01017,
        1.01029,
        1.00336,
        0.994806,
        0.993643,
        0.986229,
        0.972944,
        0.961579,
        0.955041,
        0.951978,
        0.937826,
        0.977244,
        0.959736,
        0.96237,
        0.971776,
        0.981628,
        0.99116,
        0.994424,
        0.99509,
        0.993143,
        0.98925,
        0.990392,
        0.994639,
        0.996038,
        0.998018,
        1.00059,
        1.00304,
        1.00467,
        1.00017,
        1.00446,
        0.998177,
        0.995512,
        0.998482,
        0.999955,
        0.998844,
        0.996089,
        0.997937,
        1.00532,
        1.00975,
        1.01237,
        1.00522,
        1.00909,
        1.00815,
        1.00903,
        1.0267,
        1.04215,
        1.04824,
        1.06423,
        1.07865,
        1.09198,
        1.10858,
        1.11933,
        1.14726,
        1.20132,
        1.21385,
        1.23986,
        1.27446,
        1.30334,
        1.32095,
        1.32767,
        1.33139,
        1.34788,
        1.34223,
        1.32276,
        1.30063,
        1.28165,
        1.26316,
        1.23233,
        1.19733,
        1.17185,
        1.15853,
        1.13841,
        1.12772,
        1.13303,
        1.12182,
        1.10924,
        1.10257,
        1.09701,
        1.09685,
        1.09346,
        1.08923,
        1.08854,
        1.08503,
        1.08098,
        1.07795,
        1.07667,
        1.07542,
        1.07408,
        1.07419,
        1.07089,
        1.07046,
        1.07068,
        1.06464,
        1.06105,
        1.05856,
        1.06126,
        1.06375,
        1.06776,
        1.06875,
        1.06696,
        1.05309,
        1.06112,
        1.06432,
        1.0605,
        1.05693,
        1.05791,
        1.06229,
        1.06108,
        1.06001,
        1.06039,
        1.05716,
        1.05451,
        1.05588,
        1.06312,
        1.0671,
        1.06519,
        1.06254,
        1.06357,
        1.06565,
        1.06254,
        1.06608,
        1.06831,
        1.06719,
        1.06736,
        1.06191,
        1.05978,
        1.07713,
        1.07489,
        1.06685,
        1.07351,
        1.06941,
        1.0711,
        1.04844,
        1.04939,
        1.06873,
        1.06804,
        1.07209,
        1.07391,
        1.07029,
        1.07043,
        1.07699,
        1.08059,
        1.07659,
        1.07576,
        1.07951,
        1.08137,
        1.08064,
        1.07423,
        1.08055,
        1.07832,
        1.07693,
        1.09789,
        1.09367,
        1.07933,
        1.07151,
        1.01262,
        0.849995,
        0.747173,
        0.844697,
        0.991632,
        1.06056,
        1.06828,
        1.06558,
        1.06608,
        1.05555,
        1.05076,
        1.05069,
        1.04687,
        1.04446,
        1.04068,
        0.999031,
        0.940259,
        0.960047,
        0.981377,
        1.01326,
        1.02263,
        1.01302,
        1.00928,
        1.01618,
        1.01237,
        1.01334,
        0.993376,
        1.00424,
        1.00671,
        1.0114,
        1.00756,
        1.0124,
        1.01662,
        1.00656,
        1.00445,
        1.01132,
        1.01264,
        1.01319,
        1.01155,
        1.00569,
        1.00725,
        1.02028,
        1.00868,
        1.01486,
        1.0097,
        1.0064,
        1.01133,
        1.00825,
        1.00612,
        1.00818,
        1.00832,
        1.01058,
        1.01076,
        1.01389,
        1.01275,
        1.00904,
        1.00597,
        1.00485,
        1.00883,
        1.01249,
        1.01151,
        1.006,
        1.00039,
        1.00265,
        1.00634,
        1.00764,
        1.01086,
        1.00917,
        1.00661,
        1.00969,
        1.01145,
        1.00098,
        1.00791,
        0.999089,
        1.00302,
        0.99849,
        0.99728,
        1.00195,
        1.00231,
        0.998158,
        0.992541,
        0.995336,
        1.00311,
        1.00589,
        1.00528,
        1.00871,
        1.01323,
        1.01152,
        1.00746,
        1.00806,
        1.01061,
        1.0099,
        1.00864,
        1.01091,
        1.01453,
        1.01671,
        1.01975,
        1.01806,
        1.00931,
        1.01637,
        1.01456,
        1.01559,
        1.01251,
        1.01077,
        1.01034,
        1.00961,
        1.0106,
        1.01238,
        1.01652,
        1.00783,
        1.00656,
        1.01097,
        1.01194,
        1.0093,
        1.00958,
        1.01404,
        1.01161,
        1.0187,
        1.01656,
        1.01084,
        1.01443,
        1.01198,
        1.01129,
        1.01238,
        1.01151,
        1.01223,
        1.01728,
        1.02216,
        1.0113,
        1.0009,
        1.01073,
        1.01451,
        1.01523,
        1.01967,
        1.01851,
        1.01326,
        1.01105,
        1.0138,
        1.0152,
        1.0136,
        1.0159,
        1.01709,
        1.01259,
        1.01289,
        1.01537,
        1.01239,
        1.00816,
        1.0165,
        1.01328,
        1.01189,
        1.01352,
        1.01892,
        1.02256,
        1.02188,
        1.01954,
        1.02127,
        1.01458,
        1.00221,
        1.00274,
        1.01081,
        1.0134,
        1.01553,
        1.01899,
        1.01306,
        1.01159,
        1.01752,
        1.01807,
        1.02372,
        1.02406,
        1.01412,
        1.01212,
        1.01321,
        1.01117,
        1.0147,
        1.01341,
        1.00855,
        1.00712,
        0.998195,
        1.01196,
        1.00012,
        0.996733,
        0.99329,
        1.00781,
        1.00674,
        1.00018,
        0.993032,
        1.015,
        1.02071,
        1.00618,
        1.01414,
        1.01081,
        1.01099,
        1.00563,
        0.997557,
        0.997125,
        0.990931,
        0.990049,
        0.999906,
        0.997019,
        0.997679,
        1.00458,
        1.01584,
        1.00263,
        0.99205,
        1.00873,
        1.01075,
        1.00613,
        1.0137,
        1.01737,
        1.03779,
        1.028,
        1.01979,
        1.03244,
        1.0248,
        1.02298,
        1.03059,
        1.03092,
        1.03208,
        1.0364,
        1.02056,
        1.0296,
        1.03976,
        1.04522,
        1.03919,
        1.02522,
        1.01448,
        1.02095,
        1.0332,
        1.03588,
        1.0405,
        1.04136,
        1.04082,
        1.04449,
        1.04294,
        1.04677,
        1.0491,
        1.03045,
        1.027,
        1.03614,
        1.03898,
        1.02396,
        1.033,
        1.02771,
        1.03067,
        1.01441,
        1.02269,
        1.01599,
        1.02733,
        1.03127,
        1.028,
        1.02839,
        1.03469,
        1.02636,
        1.03456,
        1.04027,
        0.994664,
        1.00622,
        1.04528,
        1.05146,
        1.05568,
        1.05119,
        1.04478,
        1.04915,
        1.03911,
        1.05146,
        1.04874,
        1.02402,
        1.03765,
        1.03148,
        1.01356,
        1.00722,
        1.0065,
        1.01116,
        1.02359,
        null,
        1.03702,
        1.03191,
        1.02756,
        1.04096,
        1.02901,
        1.03869,
        1.02906,
        1.03184,
        1.03705,
        1.03496,
        1.03457,
        1.04195,
        1.02751,
        1.02196,
        1.02178,
        1.02909,
        1.03776,
        1.03851,
        1.02733,
        1.02421,
        1.0281,
        1.02458,
        1.02435,
        1.02344,
        1.01948,
        1.02441,
        1.03209,
        1.03022,
        1.02818,
        1.02808,
        1.02404,
        1.02546,
        1.02479,
        1.02679,
        1.02762,
        1.02878,
        1.02484,
        1.02713,
        1.0233,
        1.02546,
        1.02322,
        1.02786,
        1.02567,
        1.02045,
        1.02323,
        1.03244,
        1.03205,
        1.01352,
        1.01041,
        1.02244,
        1.01636,
        1.02664,
        1.03117,
        1.02237,
        1.03156,
        1.03008,
        1.02737,
        1.03108,
        1.03387,
        1.03526,
        1.03954,
        1.04324,
        1.04243,
        1.04219,
        1.04387,
        1.04099,
        1.03773,
        1.07832,
        1.11433,
        1.07124,
        1.03504,
        1.0364,
        1.02971,
        1.02478,
        1.02888,
        1.02895,
        1.02738,
        1.02335,
        1.02801,
        1.02924,
        1.02275,
        1.03155,
        1.02575,
        1.01427,
        1.01954,
        1.01248,
        1.00736,
        1.01203,
        1.01664,
        1.02082,
        1.01735,
        1.02027,
        1.02642,
        1.03619,
        1.02886,
        1.02223,
        1.0295,
        1.0324,
        1.03383,
        1.03226,
        1.03849,
        1.03843,
        1.02993,
        1.03456,
        1.03289,
        1.03567,
        1.03129,
        1.03268,
        1.03517,
        1.03769,
        1.03161,
        1.02672,
        1.02965,
        1.03751,
        1.04446,
        1.03992,
        1.03065,
        1.03219,
        1.03593,
        1.03746,
        1.03731,
        1.03576,
        1.03175,
        1.02786,
        1.02815,
        null,
        1.28985,
        1.25145,
        1.21304,
        1.18471,
        1.16075,
        1.14171,
        1.13243,
        1.12483,
        1.12749,
        1.11975,
        1.10619,
        1.10413,
        1.10288,
        1.1043,
        1.09833,
        1.09017,
        1.08806,
        1.08243,
        1.07627,
        1.0764,
        1.07752,
        1.0891,
        1.0924,
        1.08619,
        1.08856,
        1.09147,
        1.09107,
        1.08841,
        1.08284,
        1.08096,
        1.08336,
        1.08009,
        1.07237,
        1.07126,
        1.07037,
        1.06856,
        1.06934,
        1.06974,
        1.07293,
        1.06752,
        1.06138,
        1.06122,
        1.05809,
        1.05792,
        1.05659,
        1.05093,
        1.04649,
        1.04735,
        1.04017,
        1.03297,
        1.03591,
        1.03594,
        1.03294,
        1.03127,
        1.02604,
        1.029,
        1.02464,
        1.02341,
        1.02664,
        1.03193,
        1.0259,
        1.01806,
        1.01615,
        1.02026,
        1.02149,
        1.024,
        1.02469,
        1.01871,
        1.01827,
        1.01228,
        1.00644,
        1.00314,
        1.006,
        0.999824,
        0.997771,
        0.999378,
        1.00665,
        1.00463,
        1.00446,
        1.00116,
        0.997712,
        0.995489,
        0.998787,
        0.996413,
        0.999464,
        0.989651,
        0.983159,
        0.984169,
        0.983073,
        0.980372,
        0.981034,
        0.97591,
        0.971674,
        0.96087,
        0.96513,
        0.936074,
        0.939269,
        0.961627,
        0.968796,
        0.963968,
        0.961337,
        0.959128,
        0.968619,
        0.958817,
        0.965313,
        0.962645,
        0.96797,
        0.971545,
        0.970971,
        0.964698,
        0.970976,
        0.968986,
        0.967296,
        0.97215,
        0.962153,
        0.965831,
        0.973466,
        0.968731,
        0.961854,
        0.965252,
        0.966456,
        0.963829,
        0.969484,
        0.96648,
        0.971236,
        0.966528,
        0.981853,
        0.978063,
        0.969979,
        0.96659,
        0.971252,
        0.973048,
        0.968494,
        0.974178,
        0.979586,
        0.97708,
        0.975637,
        0.975561,
        0.976657,
        0.968381,
        0.975954,
        0.967519,
        0.967968,
        0.963223,
        0.960309,
        0.9673,
        0.975258,
        0.968629,
        0.969434,
        0.97351,
        0.973333,
        0.978135,
        0.975315,
        0.978999,
        0.982283,
        0.982511,
        0.981412,
        0.985992,
        0.987065,
        0.986719,
        0.986724,
        0.987396,
        0.984456,
        0.985187,
        0.982263,
        0.98702,
        0.988358,
        0.98735,
        0.988874,
        0.989895,
        0.988954,
        0.986942,
        0.98744,
        0.989927,
        0.989034,
        0.986445,
        0.991836,
        0.988556,
        0.989376,
        0.998377,
        1.00595,
        1.00546,
        1.00603,
        1.00449,
        1.00479,
        1.00769,
        1.00488,
        1.00656,
        1.00269,
        1.00479,
        1.00751,
        1.01141,
        1.01702,
        1.0151,
        1.01387,
        1.01123,
        1.01208,
        1.01271,
        1.01271,
        1.01079,
        1.00721,
        1.00762,
        1.0116,
        1.01424,
        1.00784,
        1.01005,
        1.0144,
        1.01964,
        1.01367,
        1.01162,
        1.00733,
        1.00575,
        1.0146,
        1.02057,
        1.02596,
        1.02734,
        1.02282,
        1.01955,
        1.01572,
        1.01251,
        1.01722,
        1.02051,
        1.01893,
        1.02216,
        1.02171,
        1.02104,
        1.02017,
        1.0176,
        1.01785,
        1.01637,
        1.01499,
        1.01709,
        1.01325,
        1.00735,
        1.00538,
        1.01502,
        1.01486,
        1.00756,
        1.00241,
        1.00041,
        1.00347,
        1.00522,
        0.999002,
        1.00394,
        1.00741,
        1.00325,
        1.00054,
        0.99719,
        0.990711,
        0.988972,
        0.98439,
        0.979603,
        0.98235,
        0.982019,
        0.976113,
        0.977398,
        0.970907,
        0.966956,
        0.971452,
        0.974601,
        0.969481,
        0.958971,
        0.966167,
        0.960926,
        0.957006,
        0.968852,
        0.958258,
        0.964112,
        0.97402,
        0.973626,
        0.968766,
        0.96746,
        0.966573,
        0.971813,
        0.966073,
        0.964706,
        0.965083,
        0.960336,
        0.963839,
        0.972705,
        0.972365,
        0.970271,
        0.963577,
        0.962987,
        0.969144,
        0.976429,
        0.973781,
        0.978279,
        0.971883,
        0.971898,
        0.976031,
        0.97377,
        0.970744,
        0.971987,
        0.976736,
        0.97634,
        0.975069,
        0.976948,
        0.976136,
        0.973624,
        0.9692,
        0.970396,
        0.9669,
        0.970961,
        0.968847,
        0.966473,
        0.967932,
        0.967883,
        0.965536,
        0.962871,
        0.96371,
        0.962282,
        0.963763,
        0.967418,
        0.969149,
        0.971946,
        0.976294,
        0.978394,
        0.976101,
        0.970407,
        0.970132,
        0.975539,
        0.974434,
        0.973264,
        0.979207,
        0.971556,
        0.966677,
        0.973187,
        0.975973,
        0.975188,
        0.977316,
        0.98279,
        0.982927,
        0.981857,
        0.985461,
        0.985531,
        0.985512,
        0.98504,
        0.989394,
        0.987851,
        0.981552,
        0.987998,
        0.98807,
        0.986771,
        0.98371,
        0.98576,
        0.984904,
        0.986865,
        0.981791,
        0.981364,
        0.978456,
        0.986792,
        0.987361,
        0.993395,
        0.995909,
        0.993069,
        0.991574,
        0.997495,
        0.990351,
        0.991682,
        0.998016,
        1.00094,
        0.995932,
        0.996034,
        1.00378,
        0.996686,
        1.00028,
        0.999302,
        1.00215,
        0.996821,
        1.00194,
        1.00369,
        1.0016,
        0.993976,
        0.99443,
        1.00632,
        1.00253,
        1.00722,
        1.00809,
        1.00966,
        1.02153,
        1.0215,
        1.02738,
        1.03481,
        1.02988,
        1.03648,
        1.04229,
        1.03247,
        1.03097,
        1.02979,
        1.02219,
        1.01519,
        1.00909,
        1.00709,
        1.00703,
        1.00327,
        1.00284,
        1.00573,
        1.00386,
        0.997706,
        0.998248,
        0.999668,
        1.00267,
        1.00465,
        0.999552,
        0.994094,
        0.988462,
        0.984469,
        0.980668,
        0.974271,
        0.969974,
        0.965736,
        0.958318,
        0.957281,
        0.946866,
        0.932403,
        0.925815,
        0.916897,
        0.909984,
        0.916411,
        0.919942,
        0.910321,
        0.901437,
        0.908309,
        0.877982,
        0.861226,
        0.878651,
        0.955917,
        0.946962,
        0.944501,
        0.948413,
        0.952129,
        0.952487,
        0.960521,
        0.964756,
        0.964816,
        0.976784,
        0.975207,
        0.982433,
        0.97467,
        0.974223,
        0.973157,
        0.975855,
        0.981672,
        0.991394,
        0.998882,
        1.00875,
        1.01944,
        1.02721,
        1.036,
        1.05116,
        1.25294,
        1.27564,
        1.29409,
        1.31377,
        1.31983,
        1.31559,
        1.3071,
        1.28289,
        1.26859,
        1.26064,
        1.22667,
        1.192,
        1.17293,
        1.14927,
        1.13803,
        1.12415,
        1.1143,
        1.10708,
        1.09518,
        1.08442,
        1.07186,
        1.07098,
        1.06164,
        1.0631,
        1.0617,
        1.0494,
        1.0479,
        1.05382,
        1.05764,
        1.05429,
        1.04944,
        1.0501,
        1.04887,
        1.04525,
        1.04698,
        1.04338,
        1.04046,
        1.03599,
        1.03261,
        1.03409,
        1.03392,
        1.03249,
        1.04234,
        1.03221,
        1.03138,
        1.03579,
        1.03103,
        1.03091,
        1.02586,
        1.02886,
        1.02776,
        1.02754,
        1.02782,
        1.02495,
        1.02422,
        1.02392,
        1.02254,
        1.02143,
        1.01818,
        1.01703,
        1.02034,
        1.01874,
        1.01615,
        1.01073,
        1.00774,
        1.00835,
        1.0048,
        1.00002,
        0.996974,
        1.00301,
        1.00109,
        0.999339,
        1.00097,
        0.999778,
        0.99769,
        1.00156,
        1.00022,
        0.99253,
        0.995277,
        0.993489,
        0.989846,
        0.997275,
        0.988648,
        0.984509,
        0.99285,
        0.995254,
        0.991874,
        0.994547,
        0.988193,
        0.989921,
        0.987704,
        0.985298,
        0.993243,
        0.993273,
        0.989726,
        0.986084,
        0.990761,
        0.989096,
        0.989779,
        0.987674,
        0.987435,
        0.982242,
        0.98643,
        0.9937,
        0.99653,
        0.988189,
        0.973888,
        0.986773,
        0.99057,
        0.98775,
        0.986207,
        0.990258,
        0.994514,
        0.987035,
        0.97871,
        0.982342,
        0.980458,
        0.979582,
        0.9801,
        0.969109,
        0.960218,
        0.974717,
        0.969509,
        0.959701,
        0.964643,
        0.95279,
        0.947018,
        0.935259,
        0.967741,
        0.967319,
        0.967734,
        0.987339,
        0.986029,
        0.981082,
        0.981196,
        0.979533,
        0.982872,
        0.989919,
        0.995836,
        0.99218,
        0.996998,
        1.00013,
        1.00036,
        1.00156,
        0.999317,
        0.999352,
        1.00575,
        1.003,
        1.00111,
        1.00294,
        1.01172,
        1.01629,
        1.01858,
        1.02418,
        1.02417,
        1.01899,
        1.01437,
        1.01601,
        1.01975,
        1.015,
        1.01295,
        1.01714,
        1.01971,
        1.01629,
        1.01318,
        1.01168,
        1.02119,
        1.01872,
        1.02739,
        1.03183,
        1.02806,
        1.01714,
        1.02835,
        1.03086,
        1.02502,
        1.0298,
        1.02527,
        1.01887,
        1.01788,
        1.01962,
        1.02164,
        1.0214,
        1.02504,
        1.02326,
        1.02015,
        1.02108,
        1.0195,
        1.01829,
        1.01744,
        1.01753,
        1.01595,
        1.01467,
        1.01033,
        1.01119,
        1.0183,
        1.01951,
        1.01909,
        1.01913,
        1.01657,
        1.00949,
        1.0104,
        1.01384,
        1.0136,
        1.01342,
        1.01598,
        1.01025,
        1.00403,
        1.00817,
        1.01088,
        1.00897,
        1.00252,
        1.01861,
        1.00988,
        1.00593,
        1.00789,
        1.0043,
        1.01761,
        1.01522,
        1.00246,
        1.00307,
        0.999241,
        1.00363,
        1.0062,
        1.00049,
        0.996635,
        0.998239,
        0.997726,
        0.995804,
        0.998493,
        0.999918,
        0.996177,
        0.990355,
        0.994371,
        0.996928,
        0.995822,
        0.994953,
        0.991119,
        null,
        1.01243,
        1.02567,
        1.03546,
        1.05438,
        1.04363,
        1.05575,
        1.05704,
        1.07064,
        1.07788,
        1.08117,
        1.07277,
        1.07133,
        1.06253,
        1.05074,
        1.05192,
        1.05582,
        1.04852,
        1.04723,
        1.0436,
        1.03766,
        1.03012,
        1.01798,
        1.01915,
        1.01725,
        1.02225,
        1.01974,
        1.02304,
        1.02007,
        1.02104,
        1.01409,
        1.01971,
        1.0112,
        1.01426,
        1.02391,
        1.01166,
        1.01516,
        1.01625,
        1.01865,
        1.01512,
        1.01194,
        1.01333,
        1.0092,
        1.00712,
        1.01075,
        1.01604,
        1.01324,
        1.01612,
        1.0092,
        1.00751,
        1.01296,
        0.985487,
        0.98441,
        0.977295,
        0.985051,
        0.996018,
        0.971681,
        0.964125,
        0.971592,
        null,
        0.979437,
        0.980736,
        0.967037,
        0.97899,
        0.986369,
        0.994651,
        0.995806,
        0.996077,
        1.00969,
        1.01822,
        1.01793,
        1.01396,
        1.01272,
        1.01923,
        1.03228,
        1.02876,
        1.03288,
        1.0197,
        null,
        0.993786,
        1.00221,
        0.999817,
        1.00047,
        1.0036,
        1.00167,
        1.00521,
        1.00332,
        1.00052,
        0.999634,
        0.995844,
        0.996947,
        0.994787,
        0.996682,
        0.993765,
        0.989277,
        0.99207,
        0.994151,
        0.991448,
        0.995053,
        0.994932,
        0.990487,
        0.994041,
        0.995281,
        0.992374,
        0.993678,
        0.99602,
        0.994507,
        1.00255,
        1.00506,
        0.997349,
        1.00017,
        0.99727,
        0.993513,
        0.996433,
        0.997497,
        1.00699,
        1.00723,
        1.00687,
        1.00667,
        1.00813,
        1.01031,
        1.00576,
        1.02013,
        1.01565,
        1.01369,
        1.01376,
        1.02272,
        1.02553,
        1.02882,
        1.03069,
        1.02974,
        1.03385,
        1.03858,
        1.03731,
        1.02468,
        1.01849,
        1.00784,
        1.02449,
        1.00479,
        1.00565,
        1.00492,
        0.996473,
        0.986443,
        0.989525,
        0.990163,
        0.987365,
        0.983311,
        0.985815,
        0.977356,
        0.981569,
        0.984409,
        0.982352,
        0.984976,
        0.968227,
        0.963073,
        0.955578,
        null,
        0.935035,
        0.947352,
        0.947568,
        0.964018,
        0.951062,
        0.945871,
        0.954615,
        0.963771,
        0.962002,
        0.967122,
        0.972962,
        0.966153,
        0.961223,
        0.958627,
        0.963067,
        0.970833,
        0.963041,
        0.96233,
        0.960579,
        0.961299,
        0.969896,
        0.972773,
        0.962425,
        0.962225,
        0.967778,
        0.970496,
        0.967813,
        0.96583,
        0.97585,
        0.970269,
        0.971406,
        0.968063,
        0.97764,
        0.982462,
        0.978063,
        0.973826,
        0.975267,
        0.972851,
        0.982529,
        0.978151,
        0.979363,
        0.979665,
        0.977272,
        0.977495,
        0.976532,
        0.980823,
        0.989032,
        0.983364,
        0.977238,
        0.97382,
        0.982682,
        0.98884,
        0.984199,
        0.986484,
        0.986917,
        0.982837,
        0.98855,
        0.98811,
        0.989918,
        0.98959,
        0.994128,
        0.994482,
        0.990532,
        0.987881,
        0.991155,
        0.996455,
        1.00503,
        0.995807,
        0.996803,
        0.990252,
        0.985461,
        0.992059,
        1.00319,
        0.999062,
        1.00036,
        1.00002,
        1.0145,
        1.02641,
        1.03953,
        1.04229,
        1.01494,
        1.02104,
        1.02464,
        1.00913,
        1.00486,
        1.00639,
        1.0093,
        1.00193,
        0.991846,
        0.982774,
        0.983996,
        0.98291,
        0.988571,
        0.98552,
        0.995349,
        0.98133,
        0.983139,
        0.985353,
        0.990724,
        0.989969,
        0.987541,
        0.995138,
        1.0053,
        1.00488,
        1.00657,
        1.00667,
        1.00791,
        1.01238,
        1.01497,
        0.998901,
        0.991581,
        1.00158,
        0.996502,
        0.995945,
        1.00339,
        0.995643,
        0.997296,
        0.99478,
        0.997443,
        0.992582,
        0.989047,
        0.993427,
        0.989591,
        0.989384,
        0.973395,
        0.992493,
        0.985404,
        0.991281,
        0.995156,
        0.998042,
        0.998513,
        0.993461,
        0.993152,
        0.995883,
        0.983216,
        null,
        1.0934,
        1.09745,
        1.09463,
        1.08674,
        1.06064,
        1.06841,
        1.05833,
        1.05196,
        1.05593,
        1.0468,
        1.04696,
        1.04601,
        1.04624,
        1.04517,
        1.05098,
        1.05347,
        1.05613,
        1.04467,
        1.04439,
        1.04451,
        1.0475,
        1.046,
        1.04425,
        1.03998,
        1.04687,
        1.04726,
        1.0491,
        1.04865,
        1.0496,
        1.04792,
        1.04398,
        1.04201,
        1.04216,
        1.04503,
        1.03743,
        1.03371,
        1.04933,
        1.04273,
        1.03625,
        1.03957,
        1.03917,
        1.03911,
        1.03627,
        1.03016,
        1.03006,
        1.03506,
        1.03363,
        1.02838,
        1.02049,
        1.02375,
        1.03789,
        1.03401,
        1.03216,
        1.0353,
        1.03324,
        1.03527,
        1.03864,
        1.0447,
        1.04082,
        1.04049,
        1.04149,
        1.04529,
        1.03845,
        1.05185,
        1.0459,
        1.04496,
        1.04499,
        1.04328,
        1.04267,
        1.04656,
        1.04658,
        1.04427,
        1.04078,
        1.03926,
        1.04298,
        1.04371,
        1.04305,
        1.04342,
        1.03911,
        1.04755,
        1.04289,
        1.03657,
        1.04593,
        1.04398,
        1.04028,
        1.03125,
        1.03536,
        1.03713,
        1.03166,
        1.03066,
        1.04153,
        1.03621,
        1.04817,
        1.04125,
        1.02172,
        1.02787,
        1.03362,
        1.03373,
        1.03426,
        1.03371,
        1.03452,
        1.03837,
        1.02892,
        1.02721,
        1.03023,
        1.03333,
        1.03492,
        1.02947,
        1.02828,
        1.02637,
        1.03434,
        1.03221,
        1.03141,
        1.03233,
        1.02832,
        1.02607,
        1.0239,
        1.01934,
        1.02229,
        1.02695,
        1.01737,
        1.01813,
        1.02199,
        1.02194,
        1.01431,
        1.0105,
        1.00861,
        1.00977,
        1.0142,
        1.01046,
        1.00853,
        1.0062,
        0.997401,
        1.00159,
        0.998309,
        0.994983,
        0.983666,
        0.985906,
        0.986638,
        0.979429,
        0.983195,
        0.985055,
        0.986299,
        0.988638,
        0.979849,
        0.988488,
        0.985985,
        0.971084,
        0.968515,
        0.964496,
        0.978127,
        0.956086,
        0.948468,
        null,
        0.947144,
        0.965348,
        0.973766,
        0.963846,
        0.966581,
        0.975998,
        0.976151,
        0.968143,
        0.973547,
        0.968526,
        0.970164,
        0.977193,
        0.984081,
        0.988881,
        0.987122,
        0.986152,
        0.988367,
        0.980628,
        0.991482,
        0.990368,
        0.996266,
        0.991358,
        0.996607,
        0.992651,
        0.99998,
        1.00964,
        1.0079,
        1.0092,
        1.00106,
        0.999127,
        1.00815,
        1.01348,
        1.01805,
        1.01196,
        1.01613,
        1.00969,
        1.01103,
        1.01347,
        1.01525,
        1.01431,
        1.01403,
        1.01436,
        1.01166,
        1.01536,
        1.0175,
        1.02087,
        1.03471,
        1.03565,
        1.03728,
        1.04258,
        1.04844,
        1.05491,
        1.0485,
        1.04035,
        1.04356,
        1.04435,
        1.04289,
        1.03708,
        1.03817,
        1.03194,
        1.0191,
        1.01672,
        1.01141,
        1.00706,
        1.01641,
        1.01549,
        1.00761,
        1.00713,
        1.00774,
        1.00824,
        1.00693,
        1.00753,
        1.00788,
        1.00695,
        0.998195,
        0.998726,
        1.00434,
        0.999381,
        1.00514,
        1.00336,
        1.00868,
        1.00712,
        0.996873,
        0.999868,
        1.01069,
        1.01013,
        1.00371,
        1.00456,
        1.00536,
        1.00917,
        1.00515,
        0.997822,
        1.00242,
        1.00061,
        0.995563,
        1.00123,
        1.01028,
        1.01174,
        1.00138,
        0.998358,
        0.995043,
        1.00123,
        1.00527,
        1.00294,
        1.00095,
        0.994906,
        0.994059,
        0.994724,
        0.994085,
        1.00667,
        0.994482,
        1.0023,
        0.995641,
        1.01075,
        1.00159,
        0.99655,
        1.00326,
        0.999853,
        0.996339,
        1.00379,
        0.997277,
        1.00004,
        0.997463,
        0.996758,
        1.00082,
        0.999418,
        1.00179,
        0.998284,
        1.00966,
        1.00105,
        1.0004,
        1.00835,
        0.996359,
        0.991257,
        0.994201,
        0.988995,
        1.00807,
        1.00426,
        0.997051,
        0.990426,
        0.997836,
        0.994465,
        0.994414,
        0.997831,
        0.992779,
        0.995614,
        0.997533,
        0.981613,
        0.980757,
        0.971285,
        0.980379,
        0.989176,
        0.982931,
        0.964325,
        0.963584,
        null,
        0.980009,
        0.961341,
        0.970162,
        0.982556,
        0.961749,
        0.978214,
        0.991058,
        0.995343,
        0.998981,
        0.99685,
        0.997376,
        0.992927,
        0.995185,
        0.987351,
        0.993213,
        0.99654,
        0.99937,
        1.00447,
        1.00231,
        1.00567,
        1.007,
        1.00264,
        1.00103,
        0.998357,
        0.998898,
        0.999884,
        1.00243,
        1.00985,
        1.01396,
        1.01447,
        1.01587,
        1.01466,
        1.01339,
        1.01902,
        1.01571,
        1.0232,
        1.02093,
        1.01858,
        1.02825,
        1.02511,
        1.02687,
        1.03752,
        1.02469,
        1.03934,
        1.03536,
        1.0359,
        1.03806,
        1.04109,
        1.04095,
        1.04199,
        1.04582,
        1.04311,
        1.04319,
        null,
        null,
        1.01335,
        1.01671,
        1.02382,
        1.01613,
        1.01545,
        1.0091,
        1.00986,
        1.00746,
        1.0067,
        1.01085,
        null,
        1.05257,
        1.06439,
        1.08136,
        1.0966,
        1.12385,
        1.13294,
        1.15109,
        1.17723,
        1.20589,
        1.21052,
        1.22266,
        1.08761,
        1.08283,
        1.06886,
        1.08175,
        1.08124,
        1.07322,
        1.07296,
        1.07936,
        1.08881,
        1.0876,
        1.08017,
        1.05601,
        1.05625,
        1.04049,
        1.03163,
        1.0381,
        1.03715,
        1.03629,
        1.03508,
        1.02618,
        1.0216,
        1.01801,
        1.02615,
        1.02579,
        1.02294,
        1.01573,
        1.01353,
        1.01348,
        1.01152,
        1.01253,
        1.01071,
        1.01722,
        1.00415,
        0.992435,
        1.00691,
        1.00643,
        0.995458,
        0.996281,
        0.992258,
        0.992402,
        0.995185,
        0.994861,
        0.992399,
        0.992682,
        0.988651,
        0.98966,
        0.981903,
        0.97564,
        0.9747,
        0.984086,
        0.97888,
        0.983817,
        0.986236,
        0.981507,
        0.980625,
        0.969802,
        0.979466,
        0.968877,
        0.97275,
        0.978521,
        0.978773,
        0.980657,
        0.977854,
        0.977517,
        0.98399,
        0.986256,
        0.983594,
        0.984744,
        0.987344,
        0.984766,
        0.985369,
        0.986575,
        0.981581,
        0.979088,
        0.985745,
        0.991801,
        0.989166
    ],
    "flux_error": [
        0.00263889,
        0.00247157,
        0.00230426,
        0.00213695,
        0.00203333,
        0.00219027,
        0.00261502,
        0.00231323,
        0.0022511,
        0.00251828,
        0.00268313,
        0.00238157,
        0.0023301,
        0.00216877,
        0.00204796,
        0.00219919,
        0.00258896,
        0.00223085,
        0.00261419,
        0.00281249,
        0.00277668,
        0.00281721,
        0.00328133,
        0.00389816,
        0.00441214,
        0.00413405,
        0.00400832,
        0.00390276,
        0.00318742,
        0.00271817,
        0.00256365,
        0.00233147,
        0.00215947,
        0.0021119,
        0.00213271,
        0.00202997,
        0.00225764,
        0.00235453,
        0.00216069,
        0.00188659,
        0.00187758,
        0.00177294,
        0.00172444,
        0.00191014,
        0.00189082,
        0.00167468,
        0.00168696,
        0.00193164,
        0.00180227,
        0.00175413,
        0.00178561,
        0.00185935,
        0.00195047,
        0.00176628,
        0.00199115,
        0.00185365,
        0.00165371,
        0.0016778,
        0.00191124,
        0.00191774,
        0.00188718,
        0.00177921,
        0.0019254,
        0.00216127,
        0.0018339,
        0.00197829,
        0.00193898,
        0.00210126,
        0.0020845,
        0.00185027,
        0.00194089,
        0.00192625,
        0.00168871,
        0.00174872,
        0.00186751,
        0.00184757,
        0.00183425,
        0.00180632,
        0.00186332,
        0.00176132,
        0.00167181,
        0.00170678,
        0.00170459,
        0.00160417,
        0.00183125,
        0.00180293,
        0.00162675,
        0.00155894,
        0.00168499,
        0.00195427,
        0.00174373,
        0.00173034,
        0.00190816,
        0.00200558,
        0.00172457,
        0.00176146,
        0.00196321,
        0.00191084,
        0.0016916,
        0.00156482,
        0.00173743,
        0.00171161,
        0.00184128,
        0.00188778,
        0.00181889,
        0.00170887,
        0.00167368,
        0.00188496,
        0.00175076,
        0.00166782,
        0.00169162,
        0.00169071,
        0.00147988,
        0.00170287,
        0.001862,
        0.0019276,
        0.00186904,
        0.00175143,
        0.0018239,
        0.00189407,
        0.00193364,
        0.00199725,
        0.00197778,
        0.00182997,
        0.00181237,
        0.00180815,
        0.00174957,
        0.00171611,
        0.00166916,
        0.00159674,
        0.00169962,
        0.00185828,
        0.00184109,
        0.00172692,
        0.00162534,
        0.00164638,
        0.00185683,
        0.00155375,
        0.00151474,
        0.00160634,
        0.00169111,
        0.00169823,
        0.00170388,
        0.00160901,
        0.00163886,
        0.00170536,
        0.00177435,
        0.00181734,
        0.00170856,
        0.00168981,
        0.00169447,
        0.00175968,
        0.00182469,
        0.00181381,
        0.00176608,
        0.00172034,
        0.00174119,
        0.00175346,
        0.0017795,
        0.0018639,
        0.00192454,
        0.00198101,
        0.00185604,
        0.00164874,
        0.00153897,
        0.00164467,
        0.00184372,
        0.00183589,
        0.00185776,
        0.00188438,
        0.00188856,
        0.00186465,
        0.00185148,
        0.00184384,
        0.00181399,
        0.00177816,
        0.00171696,
        0.00162939,
        0.00163487,
        0.00178732,
        0.00193457,
        0.00186041,
        0.00171248,
        0.00174915,
        0.00187929,
        0.00189953,
        0.00199883,
        0.00189622,
        0.00170707,
        0.00170772,
        0.00184375,
        0.00202262,
        0.00195129,
        0.00181053,
        0.00183575,
        0.00204756,
        0.00182968,
        0.00214591,
        0.00219129,
        0.00206886,
        0.00213669,
        0.0025344,
        0.00235528,
        0.00287092,
        0.00371099,
        0.00465178,
        0.00568507,
        0.0049376,
        0.00376948,
        0.00337308,
        0.002931,
        0.0025963,
        0.00266743,
        0.00210703,
        0.00215222,
        0.00209066,
        0.00207632,
        0.00196975,
        0.00166298,
        0.00170736,
        0.00178724,
        0.00167892,
        0.00178801,
        0.0020004,
        0.00201159,
        0.00183706,
        0.00197369,
        0.00188068,
        0.00170786,
        0.00161258,
        0.0016356,
        0.00155395,
        0.00188199,
        0.00185414,
        0.00182234,
        0.00177446,
        0.00160979,
        0.00159103,
        0.00153426,
        0.00152978,
        0.00156548,
        0.00163404,
        0.00171074,
        0.00172606,
        0.00155374,
        0.00154119,
        0.00157401,
        0.00155748,
        0.00151171,
        0.00168069,
        0.00168351,
        0.00182317,
        0.00174851,
        0.00158556,
        0.00160496,
        0.0018735,
        0.00171687,
        0.00164482,
        0.00154276,
        0.00153217,
        0.0016592,
        0.00159906,
        0.0016144,
        0.00164034,
        0.00162059,
        0.00158767,
        0.00157889,
        0.00156118,
        0.00141323,
        0.00147727,
        0.0016506,
        0.00172216,
        0.00165954,
        0.00179425,
        0.00147287,
        0.00158859,
        0.00157339,
        0.00153908,
        0.0016541,
        0.00175325,
        0.00164176,
        0.00161014,
        0.00156969,
        0.00147608,
        0.00141464,
        0.00160791,
        0.00153434,
        0.00172889,
        0.00184195,
        0.00192921,
        0.00194529,
        0.00158993,
        0.00158934,
        0.00142949,
        0.00151206,
        0.00166362,
        0.00162759,
        0.00134227,
        0.0016474,
        0.00157603,
        0.00165018,
        0.00171567,
        0.00164237,
        0.00158442,
        0.00179014,
        0.00155378,
        0.00150929,
        0.00159695,
        0.00164354,
        0.00158176,
        0.00175705,
        0.00181246,
        0.001653,
        0.00151487,
        0.00156533,
        0.00173069,
        0.0015043,
        0.00152597,
        0.0015218,
        0.00156307,
        0.00167748,
        0.00177014,
        0.00166024,
        0.00175313,
        0.0017629,
        0.00170251,
        0.00166767,
        0.00172984,
        0.00166339,
        0.00172219,
        0.00174825,
        0.00157502,
        0.00144317,
        0.00172989,
        0.00193373,
        0.00187486,
        0.00196084,
        0.00198257,
        0.00184094,
        0.00162109,
        0.00157859,
        0.0016653,
        0.00157576,
        0.00150988,
        0.0015083,
        0.00151627,
        0.00165677,
        0.00165032,
        0.00170982,
        0.00180968,
        0.0018141,
        0.00163146,
        0.00144596,
        0.00154196,
        0.00166853,
        0.00172461,
        0.00171173,
        0.00168156,
        0.0016683,
        0.00180558,
        0.00162396,
        0.00156218,
        0.00158503,
        0.00154673,
        0.00163085,
        0.00190652,
        0.00175169,
        0.00163933,
        0.00171877,
        0.00186274,
        0.00173086,
        0.00169179,
        0.00173141,
        0.00167643,
        0.00163412,
        0.00175016,
        0.00201288,
        0.00196736,
        0.00165708,
        0.00163061,
        0.00165149,
        0.00158989,
        0.00184667,
        0.0017802,
        0.00170392,
        0.00169103,
        0.0016773,
        0.00165464,
        0.00172596,
        0.0016944,
        0.00168265,
        0.00157883,
        0.00163914,
        0.00176884,
        0.00149451,
        0.00188368,
        0.00180934,
        0.0017898,
        0.00179797,
        0.00180192,
        0.00184998,
        0.00183535,
        0.00163678,
        0.00170189,
        0.00189782,
        0.00203974,
        0.00203143,
        0.00195864,
        0.0019097,
        0.00193577,
        0.00191171,
        0.0018393,
        0.00178807,
        0.00160985,
        0.00182303,
        0.0018101,
        0.00179447,
        0.00179799,
        0.00171557,
        0.00167709,
        0.00184215,
        0.0018423,
        0.00185726,
        0.00182757,
        0.001674,
        0.00173268,
        0.00168447,
        0.0017183,
        0.00190441,
        0.00201391,
        0.00190562,
        0.0019614,
        0.0020337,
        0.0018705,
        0.00186661,
        0.0018951,
        0.00184825,
        0.00207556,
        0.00198287,
        0.00206939,
        0.00198543,
        0.00192136,
        0.00202509,
        0.00205672,
        0.001943,
        0.00190604,
        0.00185656,
        0.00190089,
        0.00205206,
        0.00213234,
        0.00201113,
        0.00199655,
        0.0020445,
        0.00207479,
        0.00201722,
        0.00185641,
        0.00178765,
        0.00184056,
        0.00210423,
        0.00206303,
        0.0018125,
        0.00196109,
        0.00198783,
        0.00195062,
        0.00185699,
        0.00179477,
        0.00182035,
        0.00188788,
        0.00168687,
        0.0017847,
        0.00195501,
        0.00200633,
        0.00193515,
        0.00185622,
        0.00184288,
        0.0021008,
        0.00203775,
        0.00198439,
        0.00198723,
        0.00192569,
        0.00173303,
        0.00186327,
        0.00195184,
        0.00194444,
        0.00188373,
        0.00181094,
        0.00168103,
        0.00179886,
        0.00175681,
        0.0018972,
        0.00205349,
        0.00201848,
        0.00188591,
        0.00182322,
        0.00181011,
        0.00177865,
        0.00180148,
        0.00187867,
        0.00185856,
        0.00169973,
        0.00183756,
        0.00174369,
        0.00169016,
        0.0018244,
        0.00192,
        0.00175216,
        0.00174939,
        0.00177657,
        0.00183511,
        0.00190243,
        0.00190754,
        0.00172706,
        0.0018071,
        0.00189837,
        0.00199439,
        0.00197576,
        0.00179596,
        0.00198651,
        0.0018261,
        0.00171469,
        0.00174472,
        0.00177772,
        0.00172261,
        0.00195167,
        0.00169417,
        0.00181842,
        0.00185756,
        0.00173433,
        0.00162476,
        0.00176037,
        0.00163943,
        0.00158244,
        0.00168759,
        0.00179564,
        0.00178115,
        0.00176278,
        0.00207296,
        0.00186591,
        0.00184318,
        0.00190602,
        0.00190626,
        0.00193884,
        0.00186712,
        0.00183284,
        0.00174997,
        0.00178077,
        0.00186833,
        0.00177028,
        0.00184773,
        0.00180704,
        0.00173661,
        0.00176526,
        0.00186005,
        0.00186595,
        0.0017361,
        0.00196103,
        0.0017724,
        0.00171135,
        0.00185806,
        0.0019406,
        0.00185552,
        0.00183427,
        0.00203219,
        0.00191925,
        0.00180718,
        0.00205527,
        0.0020371,
        0.00191237,
        0.00188227,
        0.0019017,
        0.00200936,
        0.00212234,
        0.0019412,
        0.00194487,
        0.00210694,
        0.00233625,
        0.00263654,
        0.00287145,
        0.00275368,
        0.00280027,
        0.00263392,
        0.00268089,
        0.00246498,
        0.00202576,
        0.00197803,
        0.00192619,
        0.00201381,
        0.00196729,
        0.00185538,
        0.00186904,
        0.00208761,
        0.00183609,
        0.00189187,
        0.00187147,
        0.00195895,
        0.00204128,
        0.0019236,
        0.00183037,
        0.00609751,
        0.00431874,
        0.00348578,
        0.00313686,
        0.0028216,
        0.00246836,
        0.00231246,
        0.0021737,
        0.00219046,
        0.00213438,
        0.00198998,
        0.00184459,
        0.00177168,
        0.00160046,
        0.00182255,
        0.00151323,
        0.00135817,
        0.00150837,
        0.00172202,
        0.00166227,
        0.00185938,
        0.00189184,
        0.0017617,
        0.00180317,
        0.00201722,
        0.00170055,
        0.00180996,
        0.00179047,
        0.00177429,
        0.00175994,
        0.00176687,
        0.00185128,
        0.00169181,
        0.00156938,
        0.00164541,
        0.00169054,
        0.00163182,
        0.00162751,
        0.00184357,
        0.00184488,
        0.00171342,
        0.00166368,
        0.00164185,
        0.00148846,
        0.00140506,
        0.00160517,
        0.00176034,
        0.00182782,
        0.00180473,
        0.00175685,
        0.00184935,
        0.00169389,
        0.00157857,
        0.00151746,
        0.00154401,
        0.0016253,
        0.00162241,
        0.00159452,
        0.00187455,
        0.00195135,
        0.00176924,
        0.0015807,
        0.00173581,
        0.00170408,
        0.0017774,
        0.0018099,
        0.00182745,
        0.00178006,
        0.0016043,
        0.00158564,
        0.00183681,
        0.00170012,
        0.00157674,
        0.00158214,
        0.00158939,
        0.00155218,
        0.00147626,
        0.00149874,
        0.00142967,
        0.00137422,
        0.00148347,
        0.00169675,
        0.00155553,
        0.00160418,
        0.00151153,
        0.00147741,
        0.00161162,
        0.00165761,
        0.00164287,
        0.00147534,
        0.00154045,
        0.00157216,
        0.00151978,
        0.00161449,
        0.00159109,
        0.0015287,
        0.00153568,
        0.00148293,
        0.00148677,
        0.00170093,
        0.00176232,
        0.00168657,
        0.00153629,
        0.00162233,
        0.00170715,
        0.00156255,
        0.0016846,
        0.00172413,
        0.00162247,
        0.00154834,
        0.00153752,
        0.00159292,
        0.00172608,
        0.00169651,
        0.00165105,
        0.00146161,
        0.00138791,
        0.00146868,
        0.00146199,
        0.00161091,
        0.00163908,
        0.00202806,
        0.00186575,
        0.00174549,
        0.00181593,
        0.00193755,
        0.00194808,
        0.00181611,
        0.00180373,
        0.00175903,
        0.00168259,
        0.00169519,
        0.00173044,
        0.00173255,
        0.00175796,
        0.00181736,
        0.00182716,
        0.00174488,
        0.00180936,
        0.00173087,
        0.00177315,
        0.00179175,
        0.00175196,
        0.00186021,
        0.00196496,
        0.00179627,
        0.00190811,
        0.00189066,
        0.00182082,
        0.00189199,
        0.0018554,
        0.00182667,
        0.00183873,
        0.00177777,
        0.00178218,
        0.00191382,
        0.00194566,
        0.00208724,
        0.00199209,
        0.00201595,
        0.00198201,
        0.00179252,
        0.00175846,
        0.00195309,
        0.00203414,
        0.0021209,
        0.00212806,
        0.00213487,
        0.00230765,
        0.00256819,
        0.00294019,
        0.00302271,
        0.00354387,
        0.00409877,
        0.00429417,
        0.00481059,
        0.00436809,
        0.00394098,
        0.00336936,
        0.00292762,
        0.00283327,
        0.00291921,
        0.00229178,
        0.00216021,
        0.00226639,
        0.00216747,
        0.00190096,
        0.00198758,
        0.0020141,
        0.00189087,
        0.00169162,
        0.00168045,
        0.00180578,
        0.00178531,
        0.00178461,
        0.00164202,
        0.00165723,
        0.00177509,
        0.00176565,
        0.00168438,
        0.0016099,
        0.00165407,
        0.00170174,
        0.00169629,
        0.00159507,
        0.00153179,
        0.00157748,
        0.00164658,
        0.00175055,
        0.00179156,
        0.00166015,
        0.0014686,
        0.00158725,
        0.00189272,
        0.00186089,
        0.00165365,
        0.00153735,
        0.00155313,
        0.00153424,
        0.00161838,
        0.00159346,
        0.00156871,
        0.0015794,
        0.00157906,
        0.00156848,
        0.00170375,
        0.00169165,
        0.00175118,
        0.00165456,
        0.00154974,
        0.00157386,
        0.00163797,
        0.00161547,
        0.00176565,
        0.001686,
        0.00157837,
        0.00163385,
        0.00181123,
        0.00152652,
        0.00146449,
        0.00158572,
        0.00168087,
        0.00168383,
        0.00164756,
        0.00161769,
        0.00171151,
        0.00182328,
        0.0017763,
        0.00164625,
        0.00150924,
        0.00157066,
        0.00164459,
        0.00154624,
        0.00162537,
        0.00165012,
        0.00159732,
        0.00169332,
        0.00159383,
        0.00166297,
        0.00161792,
        0.00154778,
        0.00154684,
        0.00162442,
        0.00164974,
        0.00156695,
        0.00148339,
        0.00151226,
        0.00158039,
        0.0015912,
        0.00160633,
        0.00163106,
        0.0015007,
        0.00151894,
        0.00152548,
        0.0014556,
        0.0015209,
        0.00161587,
        0.00165516,
        0.00159058,
        0.00157167,
        0.00157301,
        0.00134887,
        0.00142588,
        0.00152236,
        0.00171106,
        0.00168912,
        0.00155516,
        0.00155506,
        0.00157352,
        0.00164616,
        0.00164203,
        0.0017482,
        0.00176983,
        0.00164435,
        0.00156362,
        0.00163475,
        0.00175418,
        0.00166273,
        0.00148974,
        0.00141507,
        0.00153198,
        0.00158189,
        0.00143321,
        0.00137752,
        0.00145308,
        0.00152207,
        0.0014992,
        0.00161874,
        0.00143152,
        0.00144377,
        0.00157368,
        0.00160482,
        0.00156533,
        0.00173874,
        0.00177853,
        0.00177239,
        0.00173482,
        0.00161582,
        0.00151894,
        0.00158075,
        0.00151467,
        0.00148643,
        0.00146995,
        0.00152506,
        0.00161671,
        0.00163274,
        0.00155278,
        0.00146429,
        0.00157346,
        0.00164746,
        0.00167935,
        0.00164267,
        0.00149039,
        0.0017093,
        0.00164236,
        0.00165538,
        0.00166127,
        0.00159136,
        0.00150655,
        0.00166614,
        0.00172738,
        0.00159827,
        0.00156749,
        0.00160531,
        0.00152114,
        0.00130025,
        0.00150357,
        0.00151108,
        0.00153954,
        0.001579,
        0.00157958,
        0.00161129,
        0.00166314,
        0.00163344,
        0.00168385,
        0.00163761,
        0.00153415,
        0.00158375,
        0.0015936,
        0.00162277,
        0.00149488,
        0.00143191,
        0.00146698,
        0.00146095,
        0.00149386,
        0.00158643,
        0.00159956,
        0.00155446,
        0.00152268,
        0.00148304,
        0.00139529,
        0.00151325,
        0.00158074,
        0.00164104,
        0.00158354,
        0.00153021,
        0.00149878,
        0.00166139,
        0.00163637,
        0.00154698,
        0.00154735,
        0.0016199,
        0.00156676,
        0.00153888,
        0.00149745,
        0.00156772,
        0.00151571,
        0.00149703,
        0.00147448,
        0.00143365,
        0.00153051,
        0.00153768,
        0.0014879,
        0.00150413,
        0.00158219,
        0.00143861,
        0.00156213,
        0.00141304,
        0.00146303,
        0.00145785,
        0.00143978,
        0.00150785,
        0.00152654,
        0.00167648,
        0.00162739,
        0.0016093,
        0.00164225,
        0.00147752,
        0.00162882,
        0.00160442,
        0.00162405,
        0.00160786,
        0.00160588,
        0.00160325,
        0.00155942,
        0.00151398,
        0.00156715,
        0.00163298,
        0.00165825,
        0.00161783,
        0.0014974,
        0.00142801,
        0.00146758,
        0.00153667,
        0.00156908,
        0.00154479,
        0.0015185,
        0.0015052,
        0.00153004,
        0.00179486,
        0.00171958,
        0.0015283,
        0.00152634,
        0.0015272,
        0.00154111,
        0.00143726,
        0.00148595,
        0.00157647,
        0.0014917,
        0.00147103,
        0.00156626,
        0.00144376,
        0.00149344,
        0.00163134,
        0.00164884,
        0.00159794,
        0.00163657,
        0.00175223,
        0.00175244,
        0.00168108,
        0.00156973,
        0.0015146,
        0.00166674,
        0.00155287,
        0.00146283,
        0.00148227,
        0.00146936,
        0.00150366,
        0.00151656,
        0.00155242,
        0.00137341,
        0.00152379,
        0.00156197,
        0.00152331,
        0.00161111,
        0.00150317,
        0.00152141,
        0.00143509,
        0.00152298,
        0.00148796,
        0.00147654,
        0.00140569,
        0.00133227,
        0.00134579,
        0.0014485,
        0.00143391,
        0.00140465,
        0.0014011,
        0.00153921,
        0.00162369,
        0.00155415,
        0.00147541,
        0.00150752,
        0.00164096,
        0.00167763,
        0.00167322,
        0.00147315,
        0.00150978,
        0.00162853,
        0.00165789,
        0.00164546,
        0.00150788,
        0.00146929,
        0.00140797,
        0.0014883,
        0.00155201,
        0.00153576,
        0.00165817,
        0.00155805,
        0.00158269,
        0.00156982,
        0.00162045,
        0.00159223,
        0.0015199,
        0.00161636,
        0.00167525,
        0.00152114,
        0.0015321,
        0.0015289,
        0.00140228,
        0.00145407,
        0.00144728,
        0.00142177,
        0.00157135,
        0.00159229,
        0.00167383,
        0.00150667,
        0.00154183,
        0.00164924,
        0.00166192,
        0.0015979,
        0.00143018,
        0.00151483,
        0.00163164,
        0.00171796,
        0.00166515,
        0.00160537,
        0.00156053,
        0.00162556,
        0.0017087,
        0.00180213,
        0.00167863,
        0.00169911,
        0.00167347,
        0.00154763,
        0.0015306,
        0.00156609,
        0.0015238,
        0.00155438,
        0.00148272,
        0.00146388,
        0.00151408,
        0.00165137,
        0.00160897,
        0.00154013,
        0.00151761,
        0.00145934,
        0.00143004,
        0.00150543,
        0.00145414,
        0.00152725,
        0.00149721,
        0.00145045,
        0.00149584,
        0.00156862,
        0.0014757,
        0.00147431,
        0.00140036,
        0.00149377,
        0.00155201,
        0.00153788,
        0.00136861,
        0.00151126,
        0.00144627,
        0.0015399,
        0.00160178,
        0.00148634,
        0.00145327,
        0.00141735,
        0.00149006,
        0.00142454,
        0.00142554,
        0.00145533,
        0.00137175,
        0.00126023,
        0.00132904,
        0.00133463,
        0.00127204,
        0.00131496,
        0.00139739,
        0.0013863,
        0.00147332,
        0.00146908,
        0.00140939,
        0.0015282,
        0.00154296,
        0.00146692,
        0.00148398,
        0.00146538,
        0.0014362,
        0.00147162,
        0.00148898,
        0.00152179,
        0.00149317,
        0.00160075,
        0.00148994,
        0.00150007,
        0.00152917,
        0.00154851,
        0.00168619,
        0.00153311,
        0.00163914,
        0.00176583,
        0.0017561,
        0.00169974,
        0.0017287,
        0.00172035,
        0.00164984,
        0.00155613,
        0.00144564,
        0.00147249,
        0.00163042,
        0.00167269,
        0.00157792,
        0.00152222,
        0.00146445,
        0.00150136,
        0.00153828,
        0.00146932,
        0.00164796,
        0.0017613,
        0.00170107,
        0.00145074,
        0.00137941,
        0.00165849,
        0.00191211,
        0.00158326,
        0.00178904,
        0.00172438,
        0.00156666,
        0.00153255,
        0.00160226,
        0.00138208,
        0.00150937,
        0.0015886,
        0.00168123,
        0.00180369,
        0.00184185,
        0.00160395,
        0.0017189,
        0.00171727,
        0.00157385,
        0.00152249,
        0.00160186,
        0.0016766,
        0.00175895,
        0.00189159,
        0.00196899,
        0.00178316,
        0.00154002,
        0.00149896,
        0.00166173,
        0.00187984,
        0.00164999,
        0.00144823,
        0.0015369,
        0.0018421,
        0.00202531,
        0.00175338,
        0.00189665,
        0.00168998,
        0.00173025,
        0.0017701,
        0.00160008,
        0.00175889,
        0.0016455,
        0.00175386,
        0.00200034,
        0.00200987,
        0.00185018,
        0.00188844,
        0.00178875,
        0.00163509,
        0.00173328,
        0.00165994,
        0.00157501,
        0.00169685,
        0.00175983,
        0.00145449,
        0.00151993,
        0.0016611,
        0.00167645,
        0.00164209,
        0.00178767,
        0.00193564,
        0.00204482,
        0.00186203,
        0.00164622,
        0.00160253,
        0.00170904,
        0.00165859,
        0.00171879,
        0.00151362,
        0.0016673,
        0.00172026,
        0.00167095,
        0.00181854,
        0.00146824,
        0.00167196,
        0.00175838,
        0.00175166,
        0.00168793,
        0.00164462,
        0.00173261,
        0.00156536,
        0.00181657,
        0.00172867,
        0.00154134,
        0.0014619,
        0.00148916,
        0.00170466,
        0.00179676,
        0.00187426,
        0.00171305,
        0.00151536,
        0.001489,
        0.00148943,
        0.00175635,
        0.00180385,
        0.0017964,
        0.00166458,
        0.00159127,
        0.00179579,
        0.00174096,
        0.00171328,
        0.00163428,
        0.00144008,
        0.00131119,
        0.00168632,
        0.00185116,
        0.00181087,
        0.00176279,
        0.00175872,
        0.00170791,
        0.00176419,
        0.00182977,
        0.00178874,
        0.00168316,
        0.00163391,
        0.00163963,
        0.00177354,
        0.00158403,
        0.00156715,
        0.00160418,
        0.00157483,
        0.00169129,
        0.00216225,
        0.0020231,
        0.00177974,
        0.00176397,
        0.00181851,
        0.00172315,
        0.00184889,
        0.00206383,
        0.00181692,
        0.00160367,
        0.00180054,
        0.00210161,
        0.00180166,
        0.00156985,
        0.00174385,
        0.00178899,
        0.00188665,
        0.0020018,
        0.00200101,
        0.00188474,
        0.00164884,
        0.00192287,
        0.00176297,
        0.00169859,
        0.0019684,
        0.0020816,
        0.00168122,
        0.00180329,
        0.00167893,
        0.00158091,
        0.00171983,
        0.00200285,
        0.00196244,
        0.00165802,
        0.00187935,
        0.00170447,
        0.00149053,
        0.00151769,
        0.00169762,
        0.00165797,
        0.00193229,
        0.00188304,
        0.00180936,
        0.00172984,
        0.00170662,
        0.00198324,
        0.00201458,
        0.00162645,
        0.00159999,
        0.0018427,
        0.0018952,
        0.0015331,
        0.0016011,
        0.00163733,
        0.00210217,
        0.00192188,
        0.00169422,
        0.00180274,
        0.00176983,
        0.00132679,
        0.0017057,
        0.00205239,
        0.00202677,
        0.00170207,
        0.00149657,
        0.00188751,
        0.00195071,
        0.00208176,
        0.00202381,
        0.00201097,
        0.00214894,
        0.00224418,
        0.00200338,
        0.00203923,
        0.00226758,
        0.00260413,
        0.00314969,
        0.00395053,
        0.00481026,
        0.00549859,
        0.00516976,
        0.00585133,
        0.00510798,
        0.00453608,
        0.00447586,
        0.00445646,
        0.00398643,
        0.00435075,
        0.00562835,
        0.00579034,
        0.0059164,
        0.00588172,
        0.00497843,
        0.00354489,
        0.00342842,
        0.00307606,
        0.00294846,
        0.00262342,
        0.00223013,
        0.00230332,
        0.00178913,
        0.00202224,
        0.00222633,
        0.00204133,
        0.00180878,
        0.00185606,
        0.00190188,
        0.0019028,
        0.00166507,
        0.00160758,
        0.00180952,
        0.00201524,
        0.0019531,
        0.00193766,
        0.00175681,
        0.00165511,
        0.0015605,
        0.00153261,
        0.00158759,
        0.00160233,
        0.00131351,
        0.00168311,
        0.00149963,
        0.00153283,
        0.00172938,
        0.00172373,
        0.00180157,
        0.00154922,
        0.00136176,
        0.0013858,
        0.00142991,
        0.00154782,
        0.00183554,
        0.00153293,
        0.00147087,
        0.00141957,
        0.00145818,
        0.00144577,
        0.00141404,
        0.0016352,
        0.00149162,
        0.00138055,
        0.00151741,
        0.00154449,
        0.00143515,
        0.00139679,
        0.00153763,
        0.00157541,
        0.00142397,
        0.00140574,
        0.00150905,
        0.00159226,
        0.00151705,
        0.00130419,
        0.00152658,
        0.00142938,
        0.00150535,
        0.00162079,
        0.00152954,
        0.00134925,
        0.00133352,
        0.00168247,
        0.00165846,
        0.00143962,
        0.00132771,
        0.00140788,
        0.00130711,
        0.00143229,
        0.00140291,
        0.00126517,
        0.00136525,
        0.00158093,
        0.00138461,
        0.00122247,
        0.00136293,
        0.00151921,
        0.00163021,
        0.00141589,
        0.00137732,
        0.00153011,
        0.00151544,
        0.00135432,
        0.00136926,
        0.00141318,
        0.00142152,
        0.00150942,
        0.00137933,
        0.00142319,
        0.00147954,
        0.00137434,
        0.00130413,
        0.00138274,
        0.00140267,
        0.00154084,
        0.00145735,
        0.00145355,
        0.00145987,
        0.00143925,
        0.00142993,
        0.001533,
        0.00160795,
        0.00145266,
        0.00147096,
        0.00143299,
        0.00136316,
        0.00138884,
        0.00147386,
        0.00170738,
        0.00154383,
        0.00158314,
        0.00155294,
        0.00165457,
        0.00198949,
        0.00204205,
        0.00238237,
        0.00220711,
        0.00217548,
        0.0021356,
        0.00210653,
        0.0018732,
        0.00153992,
        0.00177066,
        0.00166276,
        0.00163566,
        0.00168228,
        0.00176889,
        0.00156618,
        0.00158629,
        0.00154561,
        0.00156543,
        0.0016066,
        0.00158144,
        0.00157238,
        0.00145643,
        0.00138658,
        0.00143594,
        0.00155316,
        0.00144552,
        0.00149586,
        0.00156331,
        0.00185246,
        0.00166311,
        0.00153192,
        0.001457,
        0.00143952,
        0.00147974,
        0.00145034,
        0.00149114,
        0.0014482,
        0.00139929,
        0.00142348,
        0.00144114,
        0.00144949,
        0.00149155,
        0.00141367,
        0.00137718,
        0.00140645,
        0.00141624,
        0.00138129,
        0.00138793,
        0.00130923,
        0.00154569,
        0.00145829,
        0.00155344,
        0.00157032,
        0.00147143,
        0.00143027,
        0.00152086,
        0.00155434,
        0.0015733,
        0.00143336,
        0.00156488,
        0.00155277,
        0.00151507,
        0.00155304,
        0.00166038,
        0.00160757,
        0.00159794,
        0.00192254,
        0.00192593,
        0.0015632,
        0.00166525,
        0.00182688,
        0.00174069,
        0.0015729,
        0.00174879,
        0.00172644,
        0.0017367,
        0.00156659,
        0.0015922,
        0.00159903,
        0.00178149,
        0.00173704,
        0.00172144,
        0.00164369,
        0.00161997,
        0.00163771,
        0.00168245,
        0.00172752,
        0.00157084,
        0.00171996,
        0.00172311,
        0.00179841,
        0.00182781,
        0.00181594,
        0.00176923,
        0.00176624,
        0.00177759,
        0.00176344,
        0.00188719,
        0.00195726,
        0.00206967,
        0.00216084,
        0.00186381,
        0.00210151,
        0.00220971,
        0.00243789,
        0.0024929,
        0.00240777,
        0.00261821,
        0.00312211,
        0.00371282,
        0.00348147,
        0.00325077,
        0.00334803,
        0.00327238,
        0.00265373,
        0.00246587,
        0.00252208,
        0.00218436,
        0.00212571,
        0.0019986,
        0.00184686,
        0.00201488,
        0.00192856,
        0.00191697,
        0.00181103,
        0.00181355,
        0.00178287,
        0.00168979,
        0.00159639,
        0.00186494,
        0.00170466,
        0.00166532,
        0.00171271,
        0.00168962,
        0.0016441,
        0.00170014,
        0.00162341,
        0.00162722,
        0.00160301,
        0.00155126,
        0.00154232,
        0.00172717,
        0.00192849,
        0.00164373,
        0.00158888,
        0.00156263,
        0.00170003,
        0.00181277,
        0.00176887,
        0.00160355,
        0.00165723,
        0.00170344,
        0.00167356,
        0.00168871,
        0.00171815,
        0.00162682,
        0.00166643,
        0.00165346,
        0.00176707,
        0.00179533,
        0.00171042,
        0.00165089,
        0.00169393,
        0.00173947,
        0.00164321,
        0.00157379,
        0.00164708,
        0.00178991,
        0.00178944,
        0.00179501,
        0.00182091,
        0.00178979,
        0.00178151,
        0.00192325,
        0.00184786,
        0.00172629,
        0.0017296,
        0.00194472,
        0.00186169,
        0.00187761,
        0.00185243,
        0.00174042,
        0.00164815,
        0.00166028,
        0.00173144,
        0.00185358,
        0.00179486,
        0.00184252,
        0.0016749,
        0.00173052,
        0.00165069,
        0.00157893,
        0.00162376,
        0.0016726,
        0.00153536,
        0.00166427,
        0.0016679,
        0.00155293,
        0.00168798,
        0.00182429,
        0.00181995,
        0.00183305,
        0.00162126,
        0.00178756,
        0.0018064,
        0.00173081,
        0.00171881,
        0.00171496,
        0.0017808,
        0.00169648,
        0.00171503,
        0.00176181,
        0.00178342,
        0.0018191,
        0.0019026,
        0.00203234,
        0.00208553,
        0.0021078,
        0.00193027,
        0.00213674,
        0.00230021,
        0.00240589,
        0.00268753,
        0.0032252,
        0.00367894,
        0.00459577,
        0.00626302,
        0.00560619,
        0.00430624,
        0.00349358,
        0.00290799,
        0.00273881,
        0.00251927,
        0.00229103,
        0.0022008,
        0.00209753,
        0.00212367,
        0.00205747,
        0.00204386,
        0.00188393,
        0.00179881,
        0.00175263,
        0.00170317,
        0.00189743,
        0.00208985,
        0.00185316,
        0.00170075,
        0.00165279,
        0.00163088,
        0.00169037,
        0.00156979,
        0.00157735,
        0.00153442,
        0.00168402,
        0.00157814,
        0.00148501,
        0.00156791,
        0.00159017,
        0.00170264,
        0.00173019,
        0.00185059,
        0.00175357,
        0.00165854,
        0.00168435,
        0.00161879,
        0.00177063,
        0.0016989,
        0.00159325,
        0.00158971,
        0.00170701,
        0.00170323,
        0.00172797,
        0.00190452,
        0.00214001,
        0.00219935,
        0.00206019,
        0.00206796,
        0.00219944,
        0.00239015,
        0.00241884,
        0.00275808,
        0.00314324,
        0.00402933,
        0.00519444,
        0.00429994,
        0.00411669,
        0.00327965,
        0.00282864,
        0.00261604,
        0.00243781,
        0.00211385,
        0.00195351,
        0.00182694,
        0.0017654,
        0.00175732,
        0.00178347,
        0.0016681,
        0.00144684,
        0.00155275,
        0.00160662,
        0.00168953,
        0.00171488,
        0.00159044,
        0.00168637,
        0.00176878,
        0.00160687,
        0.00167393,
        0.00172978,
        0.00170675,
        0.00173575,
        0.00182973,
        0.0016733,
        0.00157384,
        0.0015382,
        0.00157249,
        0.001615,
        0.00161463,
        0.00166458,
        0.00182011,
        0.00169294,
        0.00169781,
        0.00171867,
        0.00166821,
        0.00159453,
        0.00176716,
        0.00171935,
        0.00159653,
        0.0016982,
        0.00167046,
        0.00152592,
        0.00140075,
        0.00141421,
        0.00149162,
        0.00175307,
        0.00159989,
        0.0015412,
        0.00151708,
        0.00142687,
        0.00126131,
        0.00137627,
        0.00145206,
        0.00151213,
        0.00154262,
        0.00157651,
        0.00144983,
        0.00134423,
        0.00144169,
        0.00156811,
        0.00134322,
        0.00138304,
        0.00138075,
        0.00137742,
        0.00144447,
        0.00153588,
        0.00153506,
        0.00144029,
        0.0014092,
        0.00144182,
        0.00143149,
        0.00149681,
        0.00155661,
        0.00152898,
        0.00149365,
        0.00128123,
        0.00147046,
        0.00149504,
        0.00149327,
        0.00147184,
        0.00142691,
        0.00139721,
        0.00139458,
        0.00143287,
        0.00149987,
        0.00148053,
        0.00143341,
        0.00139316,
        0.00135766,
        0.00136452,
        0.00164434,
        0.00152374,
        0.00149516,
        0.00145794,
        0.00139163,
        0.00134467,
        0.00140435,
        0.00167469,
        0.00162314,
        0.00154017,
        0.00146786,
        0.0014429,
        0.00143252,
        0.00143416,
        0.00151843,
        0.00157157,
        0.00155167,
        0.00147724,
        0.00157944,
        0.00167334,
        0.00161497,
        0.00151332,
        0.00163448,
        0.00173755,
        0.00155778,
        0.0016128,
        0.00173256,
        0.00171849,
        0.00153845,
        0.00135847,
        0.00138472,
        0.00161691,
        0.00140437,
        0.00143358,
        0.00158015,
        0.00165391,
        0.00171288,
        0.00182571,
        0.00164693,
        0.00159808,
        0.00165386,
        0.00155482,
        0.00152371,
        0.00166491,
        0.00164598,
        0.0015026,
        0.00154963,
        0.00158742,
        0.00157575,
        0.0015878,
        0.0016048,
        0.00161295,
        0.0017429,
        0.00165274,
        0.00151191,
        0.0015737,
        0.00161718,
        0.00161816,
        0.00168548,
        0.00181979,
        0.00161457,
        0.00147254,
        0.00157768,
        0.00160793,
        0.00166816,
        0.00166008,
        0.00151235,
        0.0014865,
        0.00153169,
        0.00162671,
        0.00175849,
        0.0016482,
        0.00159179,
        0.00165702,
        0.00156851,
        0.00140904,
        0.00171585,
        0.00158905,
        0.0015046,
        0.00156159,
        0.00161177,
        0.00152551,
        0.00139433,
        0.00153567,
        0.0018125,
        0.00163403,
        0.00160047,
        0.00162934,
        0.00158609,
        0.00153328,
        0.00161607,
        0.00147061,
        0.0015871,
        0.00161023,
        0.00156888,
        0.0015195,
        0.00151695,
        0.00159997,
        0.00174063,
        0.00164713,
        0.00169906,
        0.00153875,
        0.00149346,
        0.00155525,
        0.00155641,
        0.00157719,
        0.00185342,
        0.00172495,
        0.00162474,
        0.00158275,
        0.0015719,
        0.00159441,
        0.00164753,
        0.00164973,
        0.00169826,
        0.00152947,
        0.0015637,
        0.00163368,
        0.00166081,
        0.00157661,
        0.0013874,
        0.00156947,
        0.00135514,
        0.00158746,
        0.00155062,
        0.00151458,
        0.00161798,
        0.00170858,
        0.00162978,
        0.00161557,
        0.00175573,
        0.0016278,
        0.0014917,
        0.00155551,
        0.00167108,
        0.00160033,
        0.00150965,
        0.00140722,
        0.00154747,
        0.00164701,
        0.00171511,
        0.00175685,
        0.00176026,
        0.00171698,
        0.00162954,
        0.00166641,
        0.00154573,
        0.00148328,
        0.00147468,
        0.00157363,
        0.00171632,
        0.00167706,
        0.00169625,
        0.00144936,
        0.00152658,
        0.00160543,
        0.00157766,
        0.00160693,
        0.00162834,
        0.00171529,
        0.00161328,
        0.00165874,
        0.00161381,
        0.00177169,
        0.00197983,
        0.00198815,
        0.00194103,
        0.00187251,
        0.0017153,
        0.0018,
        0.00179318,
        0.00176783,
        0.0017656,
        0.00168023,
        0.00147018,
        0.00176663,
        0.00157964,
        0.00163348,
        0.00167133,
        0.00167712,
        0.0016687,
        0.00162696,
        0.0016712,
        0.00173435,
        0.00162481,
        0.001679,
        0.00183586,
        0.0019064,
        0.00180241,
        0.00166685,
        0.00186258,
        0.00175776,
        0.00176495,
        0.00168677,
        0.00166172,
        0.00170015,
        0.00171474,
        0.00168914,
        0.00177125,
        0.00164704,
        0.00165125,
        0.00171715,
        0.00176471,
        0.00172463,
        0.00169905,
        0.00189358,
        0.00158546,
        0.0015932,
        0.00158018,
        0.00163969,
        0.00172512,
        0.00172947,
        0.00166243,
        0.00170948,
        0.00150131,
        0.00162894,
        0.00174435,
        0.00172169,
        0.00163054,
        0.00159566,
        0.00165321,
        0.0016546,
        0.00151097,
        0.00166403,
        0.00164073,
        0.00160576,
        0.00171917,
        0.0018221,
        0.00166305,
        0.0016263,
        0.00181342,
        0.0016797,
        0.00188267,
        0.00192402,
        0.00180347,
        0.00176104,
        0.00178462,
        0.00168458,
        0.00181813,
        0.00173208,
        0.00174236,
        0.00175224,
        0.00176272,
        0.0017192,
        0.00152864,
        0.00189809,
        0.00182851,
        0.00169169,
        0.00168167,
        0.00174243,
        0.00177542,
        0.0016778,
        0.00143829,
        0.00164792,
        0.00187155,
        0.00172148,
        0.001716,
        0.00163054,
        0.00149642,
        0.00155481,
        0.00171831,
        0.00169233,
        0.00155409,
        0.00156936,
        0.00153591,
        0.00161078,
        0.00178923,
        0.00182324,
        0.00158605,
        0.00172784,
        0.00170411,
        0.00163193,
        0.00157284,
        0.00158795,
        0.0016223,
        0.00165221,
        0.00189851,
        0.00185981,
        0.0018766,
        0.00164409,
        0.00158181,
        0.00166563,
        0.00176033,
        0.00175583,
        0.00186995,
        0.00184537,
        0.00181394,
        0.00172344,
        0.00169162,
        0.00167204,
        0.00161156,
        0.0017423,
        0.00170478,
        0.00161229,
        0.00173873,
        0.00180677,
        0.00194291,
        0.00206324,
        0.00192752,
        0.00172754,
        0.00162759,
        0.00195392,
        0.00192856,
        0.00212474,
        0.00230344,
        0.0024051,
        0.00236505,
        0.00261226,
        0.0028611,
        0.00290954,
        0.0032124,
        0.00328652,
        0.00348658,
        0.00412173,
        0.00462278,
        0.00648948,
        0.00730243,
        0.00492174,
        0.00404975,
        0.0032693,
        0.00283032,
        0.00264923,
        0.0025763,
        0.00226335,
        0.00217206,
        0.0019992,
        0.00206558,
        0.00212989,
        0.0020285,
        0.0020226,
        0.00214771,
        0.00231531,
        0.00241448,
        0.00219218,
        0.00216087,
        0.00199409,
        0.00190973,
        0.00209497,
        0.00207265,
        0.00178671,
        0.00184242,
        0.00190848,
        0.00194373,
        0.00196864,
        0.00185919,
        0.00185174,
        0.00194927,
        0.00204466,
        0.00169232,
        0.00180287,
        0.00184159,
        0.00188898,
        0.0017597,
        0.00158232,
        0.00164424,
        0.00172588,
        0.00162605,
        0.00172925,
        0.00185452,
        0.00194659,
        0.00197286,
        0.00198796,
        0.00188041,
        0.00183841,
        0.00188998,
        0.00191388,
        0.00181136,
        0.00185087,
        0.00179249,
        0.0017181,
        0.00179295,
        0.00186857,
        0.00188836,
        0.00201785,
        0.00210991,
        0.00199584,
        0.0017362,
        0.00175969,
        0.00200641,
        0.00204079,
        0.00202155,
        0.00192648,
        0.00198075,
        0.00212723,
        0.00228708,
        0.00231217,
        0.00225436,
        0.00222013,
        0.00222559,
        0.00216099,
        0.00203449,
        0.00195353,
        0.0021106,
        0.00225617,
        0.00219657,
        0.00220088,
        0.00176698,
        0.00183178,
        0.00185511,
        0.0016866,
        0.00159545,
        0.00168273,
        0.00178617,
        0.00180954,
        0.00201141,
        0.00213987,
        0.00189234,
        0.00172005,
        0.00168416,
        0.00174794,
        0.00180641,
        0.00179398,
        0.00171251,
        0.00185532,
        0.00179806,
        0.00181342,
        0.00186184,
        0.0019074,
        0.00196468,
        0.00202786,
        0.00198322,
        0.00204623,
        0.0019949,
        0.00192712,
        0.00187433,
        0.00190247,
        0.00197428,
        0.00185381,
        0.00180133,
        0.00201776,
        0.00217648,
        0.00195318,
        0.00190537,
        0.00206949,
        0.00218706,
        0.00194671,
        0.00188313,
        0.00194061,
        0.00188367,
        0.00188504,
        0.00180609,
        0.00170752,
        0.00181683,
        0.00176677,
        0.00166698,
        0.00183136,
        0.00189603,
        0.00186966,
        0.00167639,
        0.00155446,
        0.00161832,
        0.00169786,
        0.00163876,
        0.00163815,
        0.00174014,
        0.00173405,
        0.00182646,
        0.00199871,
        0.00191925,
        0.00183173,
        0.00181938,
        0.00171947,
        0.00190996,
        0.00228168,
        0.00227068,
        0.00181949,
        0.00183142,
        0.00186252,
        0.00209383,
        0.00254575,
        0.00258674,
        0.00233971,
        0.00224969,
        0.00211736,
        0.00222964,
        0.00248003,
        0.00246097,
        0.00209378,
        0.00199481,
        0.0019318,
        0.00205965,
        0.0019831,
        0.00203348,
        0.00224618,
        0.0024465,
        0.00228762,
        0.00178803,
        0.00189038,
        0.00177402,
        0.00174398,
        0.00172707,
        0.00182694,
        0.00189709,
        0.00190531,
        0.00202,
        0.00197698,
        0.00179977,
        0.00194296,
        0.0019785,
        0.00204013,
        0.00215088,
        0.00215311,
        0.00214837,
        0.0019617,
        0.00193752,
        0.00213517,
        0.00219274,
        0.00231447,
        0.00226364,
        0.00200989,
        0.00197469,
        0.0020451,
        0.00193818,
        0.00208969,
        0.00227937,
        0.00239906,
        0.00237773,
        0.0024916,
        0.00302916,
        0.00369119,
        0.00406507,
        0.00446522,
        0.00558721,
        0.00644398,
        0.00687092,
        0.00728222,
        0.00781291,
        0.00838681,
        0.00892883,
        0.00777731,
        0.00689074,
        0.00653855,
        0.00586696,
        0.00597733,
        0.00576799,
        0.00552443,
        0.00531107,
        0.0052221,
        0.00528001,
        0.00574051,
        0.00679871,
        0.00608693,
        0.00546294,
        0.00522994,
        0.00547664,
        0.00585648,
        0.00540404,
        0.00377427,
        0.00390833,
        0.00374682,
        0.00402448,
        0.00433856,
        0.00409279,
        0.00386756,
        0.00446747,
        0.00533457,
        0.00440082,
        0.0037332,
        0.00356982,
        0.00322458,
        0.00325715,
        0.00346451,
        0.00361517,
        0.00411288,
        0.00466057,
        0.00481409,
        0.00453536,
        0.0040607,
        0.003591,
        0.00317112,
        0.00290307,
        0.00311789,
        0.00285275,
        0.00263852,
        0.00265451,
        0.00257632,
        0.00257818,
        0.0026559,
        0.00268988,
        0.0027228,
        0.00288426,
        0.00296541,
        0.00327837,
        0.00346411,
        0.00339441,
        0.00300667,
        0.00283622,
        0.00285099,
        0.00310591,
        0.00356109,
        0.00386914,
        0.00377501,
        0.00308385,
        0.00245308,
        0.00233556,
        0.00246196,
        0.00243516,
        0.00236791,
        0.00227983,
        0.0021493,
        0.00212115,
        0.00213545,
        0.00210584,
        0.00229439,
        0.00224238,
        0.00234406,
        0.00235919,
        0.00232737,
        0.00237333,
        0.00218859,
        0.00214139,
        0.00220207,
        0.0024351,
        0.00251765,
        0.002443,
        0.00227595,
        0.00210028,
        0.00189905,
        0.0022142,
        0.00251759,
        0.00252167,
        0.00237367,
        0.00229142,
        0.00224224,
        0.0020844,
        0.00185975,
        0.00199502,
        0.00189686,
        0.00218206,
        0.00248296,
        0.00255788,
        0.00252275,
        0.00259113,
        0.00273192,
        0.0026073,
        0.0023714,
        0.00220217,
        0.00219169,
        0.00234002,
        0.00260765,
        0.00280844,
        0.00294168,
        0.0026565,
        0.00230125,
        0.00215069,
        0.00218625,
        0.00216662,
        0.00217701,
        0.00226092,
        0.00214696,
        0.00202993,
        0.00186475,
        0.00194835,
        0.00189603,
        0.00189839,
        0.00209757,
        0.00259033,
        0.00328029,
        0.00320167,
        0.00314079,
        0.00257125,
        0.00232296,
        0.0023252,
        0.00255774,
        0.00297302,
        0.00315015,
        0.00261308,
        0.00214426,
        0.00189046,
        0.00190035,
        0.00209523,
        0.0020412,
        0.00192372,
        0.00197012,
        0.00200457,
        0.00220441,
        0.0024914,
        0.00252267,
        0.00237664,
        0.00208464,
        0.00190808,
        0.00195546,
        0.00197428,
        0.00221375,
        0.00208847,
        0.00211196,
        0.00200706,
        0.00212511,
        0.002042,
        0.00196926,
        0.00202255,
        0.00225299,
        0.00251865,
        0.0024495,
        0.0026467,
        0.00248853,
        0.00224135,
        0.00200931,
        0.00189623,
        0.00162499,
        0.00182083,
        0.00190762,
        0.00198995,
        0.00187506,
        0.00194454,
        0.0019555,
        0.00198346,
        0.00239049,
        0.00261391,
        0.00295236,
        0.00255548,
        0.00216492,
        0.0018772,
        0.00187702,
        0.00199214,
        0.00179188,
        0.00199084,
        0.00207852,
        0.00220175,
        0.00212676,
        0.00210324,
        0.00228814,
        0.00227302,
        0.00260248,
        0.00237783,
        0.00264618,
        0.00285227,
        0.00309947,
        0.00350555,
        0.00363606,
        0.00302045,
        0.0031989,
        0.0030174,
        0.0030013,
        0.00391177,
        0.00521405,
        0.00548489,
        0.0049203,
        0.00519677,
        0.00551108,
        0.00572539,
        0.00801545,
        0.00703954,
        0.00538105,
        0.00448373,
        0.00402666,
        0.00365934,
        0.00326908,
        0.00326889,
        0.00372553,
        0.00392996,
        0.00369717,
        0.00331546,
        0.00281669,
        0.0024572,
        0.00236048,
        0.00259596,
        0.00274571,
        0.00311163,
        0.00349546,
        0.00342911,
        0.00302496,
        0.00329385,
        0.00308626,
        0.00325251,
        0.00310533,
        0.00324646,
        0.00317309,
        0.00274172,
        0.00281431,
        0.00311839,
        0.00342059,
        0.00328988,
        0.00282327,
        0.00266145,
        0.00256614,
        0.0024052,
        0.00238146,
        0.00212667,
        0.00197506,
        0.00239337,
        0.00260459,
        0.00240697,
        0.00213489,
        0.00205622,
        0.00206319,
        0.00191808,
        0.00198319,
        0.00211302,
        0.00212893,
        0.00216625,
        0.00214847,
        0.00214022,
        0.00223725,
        0.00245448,
        0.00311688,
        0.00325005,
        0.00285827,
        0.00266852,
        0.00283484,
        0.00283477,
        0.00256157,
        0.00250236,
        0.00215754,
        0.00217086,
        0.00202835,
        0.00224709,
        0.00225897,
        0.00231265,
        0.00264294,
        0.0032299,
        0.00434988,
        0.00514595,
        0.00444247,
        0.00382482,
        0.0034842,
        0.00303769,
        0.00286245,
        0.00336964,
        0.00383603,
        0.00381739,
        0.00394352,
        0.00357093,
        0.00299222,
        0.00257047,
        0.00230133,
        0.00216609,
        0.0022468,
        0.00210932,
        0.00217353,
        0.0021095,
        0.00193114,
        0.00194228,
        0.00200942,
        0.0020112,
        0.0020224,
        0.00198941,
        0.00188065,
        0.00204902,
        0.00207623,
        0.00287074,
        0.00280167,
        0.00269509,
        0.00237087,
        0.00196879,
        0.00218201,
        0.00185204,
        0.00230148,
        0.00231271,
        0.00224023,
        0.00229644,
        0.00219076,
        0.0024077,
        0.0025791,
        0.00401733,
        0.00544411,
        0.00538529,
        0.00461834,
        0.00393914,
        0.00342085,
        0.00286467,
        0.00229983,
        0.00207701,
        0.0021743,
        0.00200571,
        0.00190431,
        0.00203739,
        0.00218342,
        0.00214396,
        0.00227998,
        0.00228987,
        0.00220761,
        0.0021725,
        0.00214485,
        0.00216145,
        0.00212714,
        0.00196639,
        0.00187907,
        0.00211068,
        0.00196845,
        0.00202811,
        0.00219571,
        0.00218981,
        0.00212033,
        0.00216787,
        0.00226823,
        0.00245784,
        0.00265107,
        0.00391644,
        0.00486252,
        0.0046287,
        0.00349156,
        0.0025259,
        0.00234922,
        0.00227761,
        0.00268271,
        0.00338321,
        0.00366532,
        0.00336305,
        0.00299696,
        0.00265054,
        0.00240734,
        0.00246897,
        0.0020006,
        0.00202,
        0.00238486,
        0.00348066,
        0.00453355,
        0.00464678,
        0.00381814,
        0.00303213,
        0.00320804,
        0.00321679,
        0.00312537,
        0.00290515,
        0.00265775,
        0.00255163,
        0.00279939,
        0.00316731,
        0.00300651,
        0.0026374,
        0.0022511,
        0.00256386,
        0.00259035,
        0.00299341,
        0.00322601,
        0.00289487,
        0.00248473,
        0.00238927,
        0.00239086,
        0.00236501,
        0.00279688,
        0.00234382,
        0.00199125,
        0.00207425,
        0.00215576,
        0.00213062,
        0.00205099,
        0.00207561,
        0.00233162,
        0.00217153,
        0.001853,
        0.00188384,
        0.00205438,
        0.00185124,
        0.00173088,
        0.0018613,
        0.00193493,
        0.00192179,
        0.00213303,
        0.00236648,
        0.00238234,
        0.00216812,
        0.00198718,
        0.00217324,
        0.00196286,
        0.00207067,
        0.00217301,
        0.00218839,
        0.00248179,
        0.00292188,
        0.0030876,
        0.00311627,
        0.00333456,
        0.00278167,
        0.00212281,
        0.00212035,
        0.00197793,
        0.00188473,
        0.00225675,
        0.00272894,
        0.00282952,
        0.00313209,
        0.0023803,
        0.0021103,
        0.00261923,
        0.00343351,
        0.00416696,
        0.00448608,
        0.00401246,
        0.00326141,
        0.00261918,
        0.00252192,
        0.00223877,
        0.00218145,
        0.0021527,
        0.00201552,
        0.001997,
        0.00203149,
        0.0021478,
        0.00205116,
        0.00194317,
        0.00189623,
        0.00202143,
        0.00201559,
        0.00187409,
        0.00207921,
        0.00228592,
        0.00206628,
        0.00234707,
        0.00289907,
        0.00377812,
        0.00435975,
        0.00399931,
        0.00300432,
        0.00256908,
        0.00233621,
        0.00200935,
        0.0022382,
        0.00251158,
        0.00285616,
        0.000809615,
        0.00242872,
        0.00361082,
        0.00478121,
        0.00596084,
        0.00514982,
        0.00409334,
        0.00364414,
        0.00332536,
        0.00290491,
        0.00266379,
        0.00251085,
        0.00238248,
        0.00208519,
        0.00227605,
        0.00241536,
        0.00249411,
        0.00259599,
        0.00281999,
        0.00300866,
        0.00349538,
        0.00432827,
        0.00369027,
        0.00320452,
        0.00326877,
        0.00387015,
        0.00473775,
        0.00528004,
        0.00491982,
        0.00404943,
        0.0033329,
        0.00321064,
        0.00295569,
        0.00289157,
        0.00264312,
        0.00248776,
        0.00256726,
        0.00241649,
        0.00207355,
        0.00208267,
        0.0022433,
        0.00216357,
        0.00200474,
        0.0020233,
        0.00210221,
        0.00215267,
        0.00229516,
        0.00243309,
        0.00221839,
        0.00250121,
        0.00221165,
        0.00215739,
        0.00217525,
        0.00221041,
        0.00200838,
        0.002057,
        0.00226643,
        0.00252202,
        0.00276544,
        0.00351777,
        0.00410773,
        0.00414334,
        0.00393108,
        0.00336817,
        0.00277305,
        0.00299327,
        0.00291494,
        0.0027602,
        0.0024257,
        0.00235177,
        0.0021831,
        0.00223504,
        0.00220299,
        0.00225924,
        0.00211458,
        0.00233243,
        0.00247442,
        0.00260716,
        0.00323661,
        0.00345703,
        0.00289998,
        0.00240072,
        0.00223256,
        0.00220077,
        0.00224601,
        0.00222925,
        0.00242268,
        0.00259586,
        0.00249778,
        0.00244941,
        0.002526,
        0.00246056,
        0.00307058,
        0.00319738,
        0.00353649,
        0.00378551,
        0.00430748,
        0.00549595,
        0.0056135,
        0.00481202,
        0.00468544,
        0.00449356,
        0.00570073,
        0.00755198,
        0.00757721,
        0.00678246,
        0.00527596,
        0.00483195,
        0.0050746,
        0.00545348,
        0.00525072,
        0.00447831,
        0.00360075,
        0.0030898,
        0.00306061,
        0.00325802,
        0.00342989,
        0.00347728,
        0.00330413,
        0.00294464,
        0.00267753,
        0.00235453,
        0.00221444,
        0.0024436,
        0.00289409,
        0.00311547,
        0.00277468,
        0.00259283,
        0.00261159,
        0.00235763,
        0.00231871,
        0.00245028,
        0.00252076,
        0.00240991,
        0.00222331,
        0.0024301,
        0.00239051,
        0.0023628,
        0.00252559,
        0.00266825,
        0.00318966,
        0.0037347,
        0.0035809,
        0.00291167,
        0.00265192,
        0.00272327,
        0.00311306,
        0.00295018,
        0.00292129,
        0.00331543,
        0.00371761,
        0.00396033,
        0.00438955,
        0.00482081,
        0.00611325,
        0.0079797,
        0.00676546,
        0.00513891,
        0.00473942,
        0.00479962,
        0.00487351,
        0.00429716,
        0.00432764,
        0.00457454,
        0.00401245,
        0.00325681,
        0.00261669,
        0.00260258,
        0.0027362,
        0.00274631,
        0.00297619,
        0.00323031,
        0.00371716,
        0.00382221,
        0.00337205,
        0.00298477,
        0.0026423,
        0.00271025,
        0.00246292,
        0.00234145,
        0.00232862,
        0.00244196,
        0.00246868,
        0.00227893,
        0.00226001,
        0.00242958,
        0.00215085,
        0.00229347,
        0.00274342,
        0.00357179,
        0.00465261,
        0.00509741,
        0.00505806,
        0.00448476,
        0.00339347,
        0.00256291,
        0.00234047,
        0.0022303,
        0.00230035,
        0.00224953,
        0.00226031,
        0.00230396,
        0.00235343,
        0.00212931,
        0.00216196,
        0.00206702,
        0.00236626,
        0.0024317,
        0.0024744,
        0.00253009,
        0.00243748,
        0.00240813,
        0.00242789,
        0.00257669,
        0.00304354,
        0.00363743,
        0.00554257,
        0.00632736,
        0.00564666,
        0.00522505,
        0.00586428,
        0.00782421,
        0.00867589,
        0.00636358,
        0.00503662,
        0.00435241,
        0.00335724,
        0.00283832,
        0.00258967,
        0.00222483,
        0.00228603,
        0.00251636,
        0.00234282,
        0.00267134,
        0.0029407,
        0.00310576,
        0.00302627,
        0.00279322,
        0.00259012,
        0.00244348,
        0.00243405,
        0.00233987,
        0.00245743,
        0.00242222,
        0.00238112,
        0.00248402,
        0.00248251,
        0.00237888,
        0.00235122,
        0.00246535,
        0.00241318,
        0.00255321,
        0.00265885,
        0.00337814,
        0.00458456,
        0.00500221,
        0.00440976,
        0.00370084,
        0.00333459,
        0.00312993,
        0.00315391,
        0.003092,
        0.00274407,
        0.00282159,
        0.00349647,
        0.00452708,
        0.00451358,
        0.00358934,
        0.00309692,
        0.00292045,
        0.00307629,
        0.00289864,
        0.00255848,
        0.00234519,
        0.00240519,
        0.00250538,
        0.00277341,
        0.00338005,
        0.00390287,
        0.00349062,
        0.00311585,
        0.00319859,
        0.00337024,
        0.00315428,
        0.00286082,
        0.00265536,
        0.00294731,
        0.00349052,
        0.00367355,
        0.00313029,
        0.00267195,
        0.00245501,
        0.00226265,
        0.00230231,
        0.00227176,
        0.00238822,
        0.00234097,
        0.00237702,
        0.0030712,
        0.00380582,
        0.00357595,
        0.00321667,
        0.0033498,
        0.00405075,
        0.00446139,
        0.00390082,
        0.00309834,
        0.00267227,
        0.00243248,
        0.0024064,
        0.00249004,
        0.00250564,
        0.00247059,
        0.00260912,
        0.00230287,
        0.00248073,
        0.00248272,
        0.00254051,
        0.00297713,
        0.00358725,
        0.00371915,
        0.00326226,
        0.00275975,
        0.00250607,
        0.00235835,
        0.00248881,
        0.0024665,
        0.00225654,
        0.00218192,
        0.00215985,
        0.00205485,
        0.0020374,
        0.00225385,
        0.00268472,
        0.0028911,
        0.00276144,
        0.0024705,
        0.00233192,
        0.00239079,
        0.00238641,
        0.00254189,
        0.00334088,
        0.00438822,
        0.00563733,
        0.00467501,
        0.00356995,
        0.00329367,
        0.00317061,
        0.00342998,
        0.00436558,
        0.00519648,
        0.00368328,
        0.00295263,
        0.00260937,
        0.00236183,
        0.00248997,
        0.00245261,
        0.00223842,
        0.00249941,
        0.00251228,
        0.00303303,
        0.00390246,
        0.00449564,
        0.00461889,
        0.00494941,
        0.00448968,
        0.0032593,
        0.00266603,
        0.00250006,
        0.00250247,
        0.00261676,
        0.00232007,
        0.00216294,
        0.00211933,
        0.0023068,
        0.00236792,
        0.00255745,
        0.00241856,
        0.00245775,
        0.00273218,
        0.00338276,
        0.00392232,
        0.00462928,
        0.00446686,
        0.00410858,
        0.00346627,
        0.00272683,
        0.0023967,
        0.00231973,
        0.00226859,
        0.00223036,
        0.00223846,
        0.00254769,
        0.0021619,
        0.00236795,
        0.00259945,
        0.0028039,
        0.00264833,
        0.00249399,
        0.002471,
        0.00255067,
        0.00266396,
        0.0024344,
        0.00235867,
        0.00223862,
        0.00251891,
        0.0031636,
        0.00326369,
        0.0032625,
        0.00296105,
        0.00258881,
        0.00276378,
        0.0036657,
        0.00545583,
        0.00685734,
        0.00538427,
        0.00442337,
        0.00425834,
        0.00518823,
        0.00578265,
        0.00510601,
        0.0039177,
        0.00338217,
        0.00328396,
        0.00311287,
        0.00287611,
        0.00355393,
        0.0038057,
        0.00511924,
        0.00584619,
        0.00507809,
        0.00382467,
        0.00307119,
        0.00281944,
        0.00322925,
        0.0031495,
        0.00260665,
        0.00258353,
        0.00254004,
        0.00264372,
        0.00260989,
        0.00237111,
        0.0023205,
        0.00250901,
        0.00246912,
        0.00249407,
        0.00209764,
        0.00220426,
        0.00235601,
        0.00249577,
        0.00250564,
        0.00301918,
        0.00369509,
        0.00380959,
        0.0032956,
        0.00258448,
        0.00215319,
        0.00234528,
        0.00258837,
        0.00254611,
        0.00272687,
        0.00318058,
        0.00331404,
        0.00304692,
        0.00267678,
        0.00246967,
        0.00264901,
        0.00248638,
        0.00226867,
        0.0025413,
        0.00240967,
        0.00252393,
        0.00335075,
        0.00408907,
        0.00382126,
        0.00302522,
        0.00271188,
        0.00233081,
        0.00242809,
        0.00258162,
        0.00291968,
        0.00313626,
        0.00317356,
        0.00310926,
        0.00275264,
        0.00263364,
        0.00338501,
        0.00491245,
        0.00350576,
        0.00277035,
        0.00238322,
        0.00235648,
        0.00269309,
        0.00332604,
        0.00387709,
        0.00362997,
        0.00279159,
        0.00250936,
        0.00277797,
        0.00245531,
        0.00235231,
        0.00246423,
        0.00276445,
        0.00384755,
        0.00496368,
        0.00456674,
        0.00329607,
        0.00298905,
        0.00258405,
        0.00268266,
        0.00300336,
        0.00378002,
        0.00476878,
        0.00432208,
        0.00341177,
        0.00318447,
        0.00302523,
        0.00267097,
        0.00275461,
        0.00391298,
        0.00436566,
        0.00339235,
        0.00275973,
        0.00244257,
        0.00253662,
        0.00275117,
        0.00275267,
        0.00271734,
        0.00287976,
        0.0027916,
        0.0025705,
        0.00266175,
        0.00254497,
        0.00252886,
        0.00245887,
        0.0024952,
        0.00261026,
        0.00275452,
        0.00295851,
        0.00305929,
        0.00303332,
        0.00309145,
        0.00283316,
        0.0023929,
        0.00243565,
        0.00244622,
        0.00246702,
        0.00276274,
        0.00355674,
        0.00423321,
        0.00425104,
        0.00344119,
        0.0029042,
        0.00275705,
        0.00276266,
        0.00272952,
        0.00262335,
        0.00256481,
        0.00257156,
        0.00292281,
        0.00280797,
        0.00274608,
        0.00279233,
        0.00335678,
        0.00351553,
        0.00370263,
        0.0038626,
        0.0038322,
        0.00461159,
        0.00581011,
        0.00682991,
        0.00817785,
        0.0101365,
        0.00974605,
        0.00849558,
        0.00763115,
        0.00657305,
        0.00529425,
        0.00461862,
        0.00490535,
        0.00521889,
        0.00530468,
        0.00410512,
        0.00364299,
        0.00458685,
        0.00550471,
        0.00531291,
        0.00436677,
        0.00362456,
        0.00369236,
        0.004428,
        0.00477079,
        0.00384389,
        0.00296154,
        0.00282808,
        0.00265215,
        0.00263938,
        0.00259799,
        0.00252006,
        0.002694,
        0.00294956,
        0.00306292,
        0.00410139,
        0.00482188,
        0.00455351,
        0.003385,
        0.00321108,
        0.00335896,
        0.00447571,
        0.00510267,
        0.00370164,
        0.00320516,
        0.00284247,
        0.00290633,
        0.00276619,
        0.00275454,
        0.00246051,
        0.00231224,
        0.00237073,
        0.0025084,
        0.00262899,
        0.00246744,
        0.00220125,
        0.00253928,
        0.00253414,
        0.00249732,
        0.00258762,
        0.0023727,
        0.00237124,
        0.00241959,
        0.00239504,
        0.00245185,
        0.00259526,
        0.00282035,
        0.00307866,
        0.0043559,
        0.00476621,
        0.00483347,
        0.00565594,
        0.00512865,
        0.00386967,
        0.00293394,
        0.00248744,
        0.00238363,
        0.00251702,
        0.00244254,
        0.00245078,
        0.00260974,
        0.00307518,
        0.00511293,
        0.00605477,
        0.00488818,
        0.00353984,
        0.00307077,
        0.00301073,
        0.0029559,
        0.00270828,
        0.00271871,
        0.00279971,
        0.00297066,
        0.00345275,
        0.00309025,
        0.00219883,
        0.00226109,
        0.00247897,
        0.00272248,
        0.00291073,
        0.00295475,
        0.00278517,
        0.00262684,
        0.00272534,
        0.00286379,
        0.0030175,
        0.00349931,
        0.00434572,
        0.00461208,
        0.00404146,
        0.00327216,
        0.00297097,
        0.00359688,
        0.00371965,
        0.00341118,
        0.00278766,
        0.00243397,
        0.00220162,
        0.00228057,
        0.0023226,
        0.00228497,
        0.00226974,
        0.00222155,
        0.00240165,
        0.00247188,
        0.00241438,
        0.00255751,
        0.00247926,
        0.0024164,
        0.00258809,
        0.00288077,
        0.00270768,
        0.00242335,
        0.00238568,
        0.00252715,
        0.00243423,
        0.00262687,
        0.00286615,
        0.00260792,
        0.00240183,
        0.00253961,
        0.00279264,
        0.00323636,
        0.00417715,
        0.00434764,
        0.00381454,
        0.00325038,
        0.00284176,
        0.00266119,
        0.00261644,
        0.00233838,
        0.00237796,
        0.00244729,
        0.00258377,
        0.00299751,
        0.00329982,
        0.0030909,
        0.00258794,
        0.00247556,
        0.00254457,
        0.00265892,
        0.00277543,
        0.00335139,
        0.00436099,
        0.0054682,
        0.00511787,
        0.00452175,
        0.00400091,
        0.00342536,
        0.0029882,
        0.00285421,
        0.00290354,
        0.00290949,
        0.00293604,
        0.00308589,
        0.00321016,
        0.00344932,
        0.00365816,
        0.0038938,
        0.00422893,
        0.00497761,
        0.00693062,
        0.0091943,
        0.00871542,
        0.00747431,
        0.00669778,
        0.00587377,
        0.00499652,
        0.00493488,
        0.0038419,
        0.00296487,
        0.00282211,
        0.00288373,
        0.00284211,
        0.00268712,
        0.00274442,
        0.00291543,
        0.00326603,
        0.00432871,
        0.00488264,
        0.004013,
        0.00308216,
        0.00253914,
        0.00241644,
        0.00251734,
        0.00255456,
        0.00246338,
        0.00238896,
        0.00239113,
        0.00236484,
        0.0022243,
        0.00246921,
        0.00245721,
        0.00233264,
        0.00262438,
        0.00283121,
        0.00266211,
        0.00265416,
        0.0029128,
        0.00365874,
        0.00529514,
        0.00493997,
        0.00405352,
        0.00308674,
        0.00270676,
        0.00262079,
        0.00260719,
        0.00300935,
        0.0039634,
        0.00552632,
        0.00749962,
        0.00711257,
        0.00630238,
        0.00425726,
        0.0031588,
        0.00275101,
        0.00257672,
        0.00245908,
        0.00233528,
        0.00242589,
        0.00251372,
        0.00294954,
        0.00336391,
        0.00321504,
        0.0028317,
        0.00262759,
        0.0025228,
        0.00248818,
        0.0024865,
        0.00242457,
        0.00252803,
        0.00273337,
        0.00249602,
        0.0024201,
        0.00247009,
        0.00252281,
        0.00252616,
        0.00242202,
        0.00246252,
        0.00253943,
        0.00258525,
        0.00282472,
        0.00385743,
        0.00512069,
        0.00615211,
        0.00490829,
        0.00348246,
        0.00285512,
        0.00280532,
        0.00264711,
        0.00273908,
        0.00297666,
        0.00301623,
        0.00281033,
        0.00245541,
        0.00240126,
        0.00233968,
        0.0025823,
        0.00270707,
        0.00296411,
        0.00307863,
        0.00279874,
        0.00270383,
        0.00276422,
        0.0025703,
        0.00264573,
        0.0025325,
        0.00243468,
        0.00222966,
        0.00237376,
        0.00249299,
        0.00237866,
        0.00231074,
        0.00226913,
        0.00239769,
        0.00257825,
        0.00281749,
        0.00362054,
        0.004452,
        0.0040213,
        0.00329172,
        0.00291644,
        0.00273624,
        0.00271605,
        0.00293073,
        0.00313345,
        0.00305704,
        0.00288867,
        0.00262116,
        0.00248393,
        0.00238713,
        0.00244198,
        0.00252678,
        0.00240288,
        0.00226586,
        0.00232641,
        0.0024866,
        0.0028568,
        0.00334064,
        0.00472367,
        0.00657438,
        0.00528467,
        0.00366895,
        0.00301546,
        0.00280585,
        0.00262776,
        0.00258663,
        0.00263576,
        0.00273469,
        0.00289969,
        0.00385028,
        0.00442534,
        0.00398915,
        0.00294653,
        0.00287636,
        0.00267092,
        0.00274866,
        0.00292787,
        0.00294902,
        0.00300521,
        0.00292115,
        0.00354726,
        0.00466335,
        0.006516,
        0.00569089,
        0.00385299,
        0.00313249,
        0.00283416,
        0.00284217,
        0.00274454,
        0.00307008,
        0.00289027,
        0.00319607,
        0.00345761,
        0.00371642,
        0.00422486,
        0.00485169,
        0.00459916,
        0.0041312,
        0.0034585,
        0.00345512,
        0.00325878,
        0.00333647,
        0.00343633,
        0.00428813,
        0.00484746,
        0.00440862,
        0.00357412,
        0.0032203,
        0.00290249,
        0.00285064,
        0.00308032,
        0.00317074,
        0.0031698,
        0.00319055,
        0.00299276,
        0.0035344,
        0.00396312,
        0.00442857,
        0.0039481,
        0.00334381,
        0.0031458,
        0.00323814,
        0.00389258,
        0.00523633,
        0.00538882,
        0.0045881,
        0.00339759,
        0.00320197,
        0.00303379,
        0.00277804,
        0.00264118,
        0.00253807,
        0.00268212,
        0.00282079,
        0.00324421,
        0.00401548,
        0.00508297,
        0.00503984,
        0.0034981,
        0.00289277,
        0.00268187,
        0.00263168,
        0.00262333,
        0.00252822,
        0.00251116,
        0.00266972,
        0.0026614,
        0.00242132,
        0.00242017,
        0.00277538,
        0.00275441,
        0.00305082,
        0.00277043,
        0.00260922,
        0.00266339,
        0.0026369,
        0.00265343,
        0.00306126,
        0.00353442,
        0.00339473,
        0.0033164,
        0.00360734,
        0.00470645,
        0.00562571,
        0.00507364,
        0.00419907,
        0.00330965,
        0.00284306,
        0.00270156,
        0.00264558,
        0.00271657,
        0.00276746,
        0.00308515,
        0.00306657,
        0.00319469,
        0.00312358,
        0.00353115,
        0.00377752,
        0.0037757,
        0.00405172,
        0.00422498,
        0.00470473,
        0.00532295,
        0.00606904,
        0.00794218,
        0.0112856,
        0.0115841,
        0.0105106,
        0.0103394,
        0.0093811,
        0.00802554,
        0.00669682,
        0.00551829,
        0.00441504,
        0.00404408,
        0.00392398,
        0.00366229,
        0.00329782,
        0.00309618,
        0.00299691,
        0.00327945,
        0.0033534,
        0.00338742,
        0.0034923,
        0.00309823,
        0.00313284,
        0.00349658,
        0.00416518,
        0.00406951,
        0.00359686,
        0.00326539,
        0.00326825,
        0.0039938,
        0.00480269,
        0.00470563,
        0.00422407,
        0.00466724,
        0.00499906,
        0.00468521,
        0.00343114,
        0.00312855,
        0.00312856,
        0.00283034,
        0.00291237,
        0.00289496,
        0.00285179,
        0.00289367,
        0.00287784,
        0.00280109,
        0.00276768,
        0.00295121,
        0.00301511,
        0.00349991,
        0.00412596,
        0.00451186,
        0.00482886,
        0.00537952,
        0.0063111,
        0.00662434,
        0.00622193,
        0.00573106,
        0.00586796,
        0.0071985,
        0.00720261,
        0.00834018,
        0.0113953,
        0.0118759,
        0.0107114,
        0.0104983,
        0.0113086,
        0.00977124,
        0.00733157,
        0.00660814,
        0.00638296,
        0.00736614,
        0.0083995,
        0.00662481,
        0.00551262,
        0.00431484,
        0.00453871,
        0.00523107,
        0.0047382,
        0.00413822,
        0.00392256,
        0.00358135,
        0.00353885,
        0.00431424,
        0.00506802,
        0.00420445,
        0.00367651,
        0.00351099,
        0.00343425,
        0.00325937,
        0.00333615,
        0.00302127,
        0.00305181,
        0.00346781,
        0.00328155,
        0.00350484,
        0.00349056,
        0.0027342,
        0.00306469,
        0.00355695,
        0.00408946,
        0.0046557,
        0.00408951,
        0.00339096,
        0.00318433,
        0.00315569,
        0.00316785,
        0.00327035,
        0.0032311,
        0.00291126,
        0.00329856,
        0.00314704,
        0.00343279,
        0.0036067,
        0.00378498,
        0.003761,
        0.00373811,
        0.00377611,
        0.00409591,
        0.00516858,
        0.00596092,
        0.00675244,
        0.00797974,
        0.00631081,
        0.00513498,
        0.00504885,
        0.00477328,
        0.00458434,
        0.00443548,
        0.00404727,
        0.00354296,
        0.00306249,
        0.00265915,
        0.00304319,
        0.00293605,
        0.00304014,
        0.00299387,
        0.00279051,
        0.00267477,
        0.00295228,
        0.00316342,
        0.00297839,
        0.00270601,
        0.00264093,
        0.00260998,
        0.00265754,
        0.00273666,
        0.00250017,
        0.00263577,
        0.00270186,
        0.0026917,
        0.00272634,
        0.00268461,
        0.00255791,
        0.00266424,
        0.00285117,
        0.00256,
        0.00241597,
        0.00257604,
        0.00253247,
        0.00265999,
        0.0029544,
        0.00356609,
        0.00339577,
        0.00280221,
        0.00270928,
        0.00282383,
        0.0027597,
        0.00297076,
        0.00305858,
        0.00287706,
        0.00271941,
        0.00296075,
        0.00363403,
        0.00366405,
        0.00336061,
        0.00294593,
        0.00304815,
        0.00328152,
        0.00307421,
        0.00283993,
        0.00298643,
        0.00283811,
        0.00323866,
        0.00294801,
        0.00271381,
        0.00259211,
        0.00250228,
        0.00242001,
        0.00242332,
        0.00257227,
        0.00256398,
        0.00282452,
        0.00269746,
        0.0026743,
        0.00271172,
        0.002738,
        0.0028975,
        0.00286692,
        0.00272363,
        0.00247941,
        0.00276186,
        0.00237636,
        0.0026975,
        0.00315872,
        0.00313573,
        0.00322762,
        0.00309219,
        0.00274481,
        0.00247498,
        0.00243682,
        0.00278183,
        0.00258727,
        0.00273892,
        0.00258476,
        0.00271024,
        0.00276295,
        0.00261321,
        0.00261565,
        0.00278408,
        0.00270811,
        0.00254079,
        0.00254779,
        0.00254397,
        0.00258898,
        0.00272883,
        0.00283642,
        0.00267478,
        0.0029105,
        0.00329542,
        0.00338064,
        0.00381307,
        0.00400943,
        0.00439933,
        0.00480139,
        0.00473902,
        0.0047466,
        0.00411127,
        0.00372667,
        0.00353516,
        0.00345055,
        0.00317127,
        0.00332218,
        0.00343642,
        0.00313324,
        0.00339108,
        0.00348601,
        0.00311597,
        0.00334608,
        0.00393064,
        0.00373321,
        0.00345872,
        0.00326969,
        0.00278551,
        0.00260687,
        0.00274344,
        0.00285857,
        0.00282381,
        0.00283304,
        0.00291591,
        0.00287495,
        0.00264988,
        0.00248694,
        0.00257697,
        0.00256522,
        0.00229695,
        0.00241406,
        0.00287115,
        0.00316497,
        0.0033678,
        0.00290151,
        0.00270965,
        0.00283793,
        0.00270556,
        0.00257893,
        0.00273097,
        0.00260042,
        0.00278057,
        0.00281646,
        0.00251368,
        0.00266637,
        0.00253794,
        0.0024601,
        0.00272285,
        0.00267831,
        0.00265788,
        0.00280218,
        0.00275441,
        0.00277797,
        0.00282304,
        0.00275364,
        0.00277162,
        0.00255521,
        0.00265396,
        0.00263658,
        0.00270749,
        0.00295949,
        0.00301834,
        0.00285576,
        0.00291241,
        0.00296436,
        0.00257547,
        0.00288767,
        0.00263551,
        0.00234924,
        0.00291099,
        0.00257654,
        0.00275005,
        0.00297712,
        0.00284397,
        0.00273688,
        0.00270762,
        0.00272555,
        0.00282944,
        0.0028311,
        0.00268246,
        0.00253618,
        0.0024576,
        0.00257999,
        0.00259053,
        0.00262711,
        0.00263125,
        0.00264792,
        0.00268175,
        0.00250575,
        0.00233643,
        0.0025157,
        0.00280587,
        0.00289759,
        0.00307706,
        0.00305812,
        0.00245753,
        0.00282221,
        0.00261689,
        0.00270927,
        0.00254231,
        0.00242846,
        0.00249014,
        0.00251647,
        0.00253102,
        0.0025987,
        0.00251663,
        0.00250863,
        0.0029331,
        0.00284084,
        0.00310416,
        0.00329475,
        0.0035582,
        0.00367429,
        0.00365636,
        0.00355864,
        0.00342386,
        0.00320171,
        0.0028416,
        0.00261775,
        0.00290961,
        0.00292734,
        0.00250143,
        0.00269501,
        0.00255245,
        0.00247625,
        0.00232637,
        0.00247204,
        0.00277741,
        0.0026491,
        0.00243903,
        0.00248093,
        0.00251713,
        0.00265987,
        0.00258625,
        0.00255821,
        0.00286694,
        0.00247853,
        0.00234584,
        0.00238125,
        0.00245259,
        0.00247273,
        0.00246101,
        0.00255504,
        0.00260562,
        0.002531,
        0.00253333,
        0.0025942,
        0.00242675,
        0.00240094,
        0.00254144,
        0.0024586,
        0.00246665,
        0.0024315,
        0.00252278,
        0.00237415,
        0.00246025,
        0.0024777,
        0.00254059,
        0.00255363,
        0.00255021,
        0.00245406,
        0.00228214,
        0.00245943,
        0.00242145,
        0.00246125,
        0.00252663,
        0.00246522,
        0.00259663,
        0.0027849,
        0.00292059,
        0.00292642,
        0.00317648,
        0.00364398,
        0.00388965,
        0.00442608,
        0.00468349,
        0.00436784,
        0.00402805,
        0.00394519,
        0.00357938,
        0.00335015,
        0.00326747,
        0.00295804,
        0.00289749,
        0.00303162,
        0.00317438,
        0.00314309,
        0.00297043,
        0.00327259,
        0.00336194,
        0.00334269,
        0.00372337,
        0.00404613,
        0.00427484,
        0.00522844,
        0.00633532,
        0.00721682,
        0.00837491,
        0.00718001,
        0.00603762,
        0.00501912,
        0.00438141,
        0.00412865,
        0.00372376,
        0.00366296,
        0.00347596,
        0.00318161,
        0.00330452,
        0.00311848,
        0.00317482,
        0.00310404,
        0.0031054,
        0.00309449,
        0.00296702,
        0.00287311,
        0.00279354,
        0.00281411,
        0.00287816,
        0.0026333,
        0.00269969,
        0.00268572,
        0.00278294,
        0.00252646,
        0.00255384,
        0.00252111,
        0.00249084,
        0.00239562,
        0.00247066,
        0.00239286,
        0.00227957,
        0.00236319,
        0.00242454,
        0.00247516,
        0.00262154,
        0.00255639,
        0.00244871,
        0.00242936,
        0.00242777,
        0.00240696,
        0.00251945,
        0.00258556,
        0.00275702,
        0.00272314,
        0.00250357,
        0.00232662,
        0.00251223,
        0.00259567,
        0.00241441,
        0.00242944,
        0.00250045,
        0.00251167,
        0.0025238,
        0.00234084,
        0.00228931,
        0.00227034,
        0.00232081,
        0.00265428,
        0.00262286,
        0.00262674,
        0.00269691,
        0.00239291,
        0.00233935,
        0.00235268,
        0.00252292,
        0.00247516,
        0.00241573,
        0.00246058,
        0.00245799,
        0.00234667,
        0.00230821,
        0.0024009,
        0.00239993,
        0.00234218,
        0.0025406,
        0.00260864,
        0.00273504,
        0.00263,
        0.00310102,
        0.00349885,
        0.00356967,
        0.00322174,
        0.0032581,
        0.0031098,
        0.00276762,
        0.00252583,
        0.00241573,
        0.00243984,
        0.00244948,
        0.00234321,
        0.00237722,
        0.00220831,
        0.00232097,
        0.00230919,
        0.00239509,
        0.00224257,
        0.00227006,
        0.00221797,
        0.00240589,
        0.00267592,
        0.00274066,
        0.00278484,
        0.00302278,
        0.00317016,
        0.00323363,
        0.003182,
        0.00299967,
        0.00334497,
        0.00318553,
        0.00273071,
        0.00250728,
        0.00242738,
        0.00255107,
        0.00221026,
        0.00247071,
        0.00296158,
        0.00307999,
        0.00289607,
        0.00257825,
        0.00273287,
        0.00284962,
        0.00279645,
        0.00269143,
        0.00263662,
        0.0023111,
        0.0023454,
        0.00238057,
        0.00229567,
        0.00237867,
        0.00254641,
        0.00263159,
        0.00263399,
        0.00356407,
        0.00427066,
        0.00387627,
        0.00361567,
        0.00367865,
        0.00388704,
        0.00414831,
        0.00538341,
        0.00667304,
        0.00665455,
        0.00534853,
        0.00445493,
        0.0037267,
        0.00332714,
        0.00351061,
        0.00375762,
        0.00437296,
        0.00415325,
        0.00382312,
        0.00309859,
        0.00267104,
        0.00250534,
        0.0025016,
        0.00255594,
        0.00286819,
        0.00336877,
        0.00366971,
        0.00348525,
        0.00302,
        0.00267997,
        0.00257186,
        0.00264423,
        0.00243028,
        0.00260846,
        0.0026504,
        0.00271397,
        0.00277259,
        0.00308035,
        0.00334436,
        0.00315195,
        0.00315955,
        0.00328149,
        0.00382683,
        0.00431175,
        0.00394056,
        0.00317759,
        0.00279798,
        0.00274589,
        0.00283718,
        0.00276432,
        0.00304952,
        0.00442922,
        0.00449175,
        0.00376002,
        0.00300597,
        0.0026731,
        0.00258573,
        0.00262528,
        0.0025659,
        0.0024841,
        0.00274473,
        0.00326045,
        0.00306528,
        0.00287711,
        0.00281319,
        0.0027067,
        0.00265973,
        0.00264438,
        0.00227476,
        0.0024132,
        0.00244924,
        0.00237222,
        0.00298334,
        0.0033822,
        0.00315161,
        0.00261763,
        0.00243443,
        0.00256261,
        0.00256989,
        0.00249664,
        0.00253982,
        0.00239251,
        0.0026043,
        0.00266611,
        0.00295147,
        0.00316643,
        0.00308624,
        0.00320294,
        0.00259531,
        0.00246507,
        0.00241714,
        0.0025168,
        0.00255313,
        0.00265798,
        0.0025326,
        0.00266025,
        0.00347662,
        0.00406126,
        0.00391917,
        0.00344707,
        0.00318542,
        0.00303973,
        0.00301738,
        0.00297099,
        0.00280202,
        0.00310428,
        0.00356601,
        0.00397401,
        0.00364974,
        0.00289993,
        0.00218045,
        0.00224393,
        0.00237446,
        0.00230187,
        0.00248805,
        0.00261988,
        0.0028221,
        0.00363037,
        0.00436954,
        0.00400633,
        0.00301251,
        0.00264375,
        0.00266673,
        0.00285863,
        0.00278491,
        0.0027738,
        0.00267597,
        0.00273199,
        0.00295217,
        0.00327215,
        0.00398482,
        0.00450465,
        0.00411995,
        0.00343243,
        0.00313283,
        0.00339335,
        0.00369827,
        0.0038455,
        0.0038782,
        0.00331984,
        0.0030222,
        0.0028254,
        0.00257999,
        0.00244733,
        0.00269305,
        0.00307531,
        0.00343515,
        0.00349491,
        0.00321279,
        0.00339175,
        0.00310664,
        0.00272009,
        0.00261879,
        0.00243194,
        0.00251965,
        0.0028495,
        0.00289947,
        0.00264423,
        0.00255838,
        0.00259965,
        0.00275394,
        0.00366991,
        0.00478113,
        0.00537239,
        0.00367805,
        0.00295689,
        0.00248822,
        0.00241848,
        0.0025676,
        0.00253687,
        0.00247907,
        0.00270824,
        0.0033046,
        0.00348014,
        0.00343762,
        0.00341592,
        0.00325145,
        0.00326124,
        0.00352905,
        0.0037282,
        0.00398306,
        0.00378123,
        0.00341786,
        0.00351406,
        0.00364496,
        0.00410508,
        0.00563142,
        0.00563951,
        0.00429466,
        0.00350774,
        0.0030524,
        0.00269679,
        0.00266954,
        0.00255724,
        0.00262386,
        0.0027029,
        0.00256342,
        0.00246875,
        0.00264783,
        0.00319077,
        0.00388461,
        0.00395705,
        0.00352361,
        0.00242459,
        0.00209056,
        0.00218857,
        0.00206106,
        0.00199749,
        0.00201738,
        0.00222795,
        0.00206117,
        0.00219328,
        0.00214267,
        0.00211076,
        0.00225441,
        0.00246624,
        0.00262074,
        0.00289847,
        0.00302329,
        0.00265605,
        0.00244564,
        0.00268191,
        0.00298776,
        0.0028949,
        0.00262862,
        0.00243033,
        0.00250026,
        0.00244238,
        0.00286217,
        0.00272344,
        0.00308032,
        0.00262565,
        0.00244989,
        0.00302823,
        0.0037094,
        0.0035697,
        0.00282399,
        0.00232194,
        0.0024374,
        0.00301205,
        0.00313369,
        0.0023734,
        0.00241149,
        0.00259231,
        0.00281583,
        0.002504,
        0.00231,
        0.00234641,
        0.00198537,
        0.00207386,
        0.00262065,
        0.00335961,
        0.00375026,
        0.00367527,
        0.00315945,
        0.00302568,
        0.00267071,
        0.00266493,
        0.00267085,
        0.00246838,
        0.00244063,
        0.00222812,
        0.00229361,
        0.00234297,
        0.00250156,
        0.00309727,
        0.003737,
        0.00329341,
        0.00313008,
        0.00266786,
        0.0027921,
        0.00254436,
        0.00239153,
        0.00235771,
        0.00254063,
        0.00286674,
        0.00283125,
        null,
        0.00287024,
        0.00300669,
        0.00309716,
        0.00329708,
        0.00345314,
        0.00375642,
        0.00444605,
        0.00493585,
        0.00410938,
        0.00403069,
        0.00430214,
        0.004576,
        0.00473126,
        0.0048946,
        0.00571481,
        0.00581037,
        0.00609335,
        0.00653259,
        0.00757572,
        0.00820063,
        0.00713439,
        0.00838787,
        0.00776256,
        0.00562695,
        0.00555354,
        0.00502521,
        0.00466373,
        0.00395886,
        0.00334155,
        0.0032574,
        0.00362028,
        0.00415054,
        0.00408898,
        0.00356263,
        0.0036029,
        0.00420593,
        0.0045743,
        0.00593865,
        0.00621199,
        0.00516806,
        0.00431408,
        0.00413299,
        0.00525698,
        0.0048062,
        0.00443572,
        0.00447672,
        0.00439872,
        0.00403668,
        0.00372344,
        0.00342396,
        0.00315367,
        0.00296506,
        0.00311276,
        0.00359448,
        0.00346247,
        0.00288136,
        0.00286781,
        0.00259515,
        0.00281364,
        0.00295205,
        0.00281798,
        0.00263066,
        0.00240428,
        0.0023425,
        0.00212464,
        0.00249668,
        0.00320627,
        0.00456058,
        0.00413459,
        0.00381234,
        0.00338918,
        0.00315642,
        0.00289653,
        0.00280852,
        0.00272363,
        0.00267912,
        0.00265258,
        0.00235507,
        0.0021514,
        0.00229982,
        0.00231245,
        0.0022604,
        0.00235349,
        0.00260332,
        0.00269555,
        0.00302729,
        0.00295098,
        0.00266596,
        0.00318701,
        0.0025376,
        0.00209959,
        0.00253852,
        0.00265143,
        0.00262445,
        0.00256536,
        0.00237772,
        0.00236529,
        0.00256724,
        0.00275207,
        0.00276429,
        0.00272353,
        0.00255185,
        0.00228684,
        0.00232697,
        0.00235386,
        0.00238548,
        0.0024382,
        0.00294975,
        0.00273229,
        0.00276299,
        0.00294106,
        0.00250499,
        0.00269904,
        0.00354778,
        0.00517403,
        0.0053897,
        0.00399593,
        0.00339885,
        0.00346712,
        0.00344657,
        0.00282956,
        0.00271628,
        0.00284805,
        0.00282578,
        0.0028321,
        0.00285794,
        0.00289614,
        0.00294812,
        0.00326533,
        0.00359627,
        0.00386963,
        0.00355503,
        0.00375586,
        0.0035555,
        0.00366364,
        0.00319714,
        0.00321134,
        0.0031244,
        0.00343941,
        0.00292307,
        0.00269502,
        0.00259342,
        0.00315803,
        0.0034779,
        0.00349354,
        0.00298459,
        0.00262006,
        0.00250691,
        0.00250264,
        0.00249877,
        0.00243503,
        0.00261981,
        0.00287705,
        0.00299937,
        0.00269442,
        0.00233417,
        0.00236919,
        0.00212826,
        0.0021543,
        0.00209375,
        0.00206074,
        0.00196069,
        0.00221584,
        0.00205347,
        0.0020876,
        0.00204483,
        0.00224008,
        0.00235519,
        0.00314812,
        0.00373342,
        0.00343109,
        0.00283277,
        0.00261464,
        0.00276483,
        0.00296038,
        0.00295302,
        0.00313853,
        0.00387219,
        0.00343928,
        0.00300881,
        0.00255704,
        0.00251226,
        0.0027007,
        0.00263033,
        0.00277617,
        0.00275606,
        0.00266352,
        0.00254632,
        0.00233543,
        0.0025531,
        0.00251283,
        0.00248156,
        0.0024755,
        0.00253838,
        0.00261314,
        0.00254963,
        0.00252854,
        0.00274791,
        0.00279153,
        0.00275792,
        0.00268596,
        0.00266417,
        0.00291826,
        0.00343981,
        0.00365406,
        0.00341463,
        0.00315494,
        0.0030009,
        0.00319075,
        0.00295279,
        0.00287727,
        0.00296864,
        0.00268409,
        0.0029919,
        0.00274934,
        0.00263694,
        0.00290023,
        0.00279233,
        0.00271696,
        0.00285739,
        0.0029693,
        0.00335199,
        0.00374095,
        0.00447563,
        0.00573375,
        0.00707523,
        0.00688046,
        0.00507562,
        0.00369306,
        0.00337474,
        0.00304942,
        0.00319869,
        0.00303425,
        0.00275963,
        0.00260664,
        0.00258757,
        0.00267594,
        0.00249116,
        0.002599,
        0.00246098,
        0.00275864,
        0.00267794,
        0.00257513,
        0.00243666,
        0.00260636,
        0.00263001,
        0.00296914,
        0.00373365,
        0.00531597,
        0.00703469,
        0.00594213,
        0.00471747,
        0.00406074,
        0.00335668,
        0.00271425,
        0.00246158,
        0.00235201,
        0.00256263,
        0.00248479,
        0.00279573,
        0.00260016,
        0.0025962,
        0.00250797,
        0.00247929,
        0.00251551,
        0.00236011,
        0.00239406,
        0.0021916,
        0.00217188,
        0.00242048,
        0.00238456,
        0.00289005,
        0.00322646,
        0.00368191,
        0.00360917,
        0.00300672,
        0.00273719,
        0.00283019,
        0.00284263,
        0.00259678,
        0.00231516,
        0.00247874,
        0.00259552,
        0.00248302,
        0.00240088,
        0.00247867,
        0.0024983,
        0.00238837,
        0.00221879,
        0.00230367,
        0.00223963,
        0.00243478,
        0.00249617,
        0.00275823,
        0.0027207,
        0.00269479,
        0.00271109,
        0.00255947,
        0.00244363,
        0.00245121,
        0.00250892,
        0.00248866,
        0.00260138,
        0.00251122,
        0.00252929,
        0.00249545,
        0.00279524,
        0.00332999,
        0.00365457,
        0.00323436,
        0.00289263,
        0.00278656,
        0.00265339,
        0.00249802,
        0.00254912,
        0.0023654,
        0.00272856,
        0.00299538,
        0.00399605,
        0.00440384,
        0.00359836,
        0.00267719,
        0.00248517,
        0.00263305,
        0.00266253,
        0.0027953,
        0.00274585,
        0.00253249,
        0.00264306,
        0.00253253,
        0.00248244,
        0.00261502,
        0.00240194,
        0.00250402,
        0.00246412,
        0.00264275,
        0.00272398,
        0.00292639,
        0.00294745,
        0.00266968,
        0.00249859,
        0.00249107,
        0.00245643,
        0.00272024,
        0.00272165,
        0.00282976,
        0.00274299,
        0.00250426,
        0.00261357,
        0.00264934,
        0.00314373,
        0.00365009,
        0.0050449,
        0.00688086,
        0.00623562,
        0.00427267,
        0.00328262,
        0.0029714,
        0.0027933,
        0.00286185,
        0.00267429,
        0.00262647,
        0.00248655,
        0.00228581,
        0.0024434,
        0.00257328,
        0.00250554,
        0.00233567,
        0.00241143,
        0.00251572,
        0.00245598,
        0.00247797,
        0.00249427,
        0.0024139,
        0.00235787,
        0.002566,
        0.00273401,
        0.00318958,
        0.00472345,
        0.00547159,
        0.00365408,
        0.00300933,
        0.00263949,
        0.00238885,
        0.00228265,
        0.0022491,
        0.00221825,
        0.00250043,
        0.00222777,
        0.00245684,
        0.00247333,
        0.00253239,
        0.00243215,
        0.00249832,
        0.00265329,
        0.00281498,
        0.00295958,
        0.00275338,
        0.00257481,
        0.00293564,
        0.00338711,
        0.00358158,
        0.00350376,
        0.00344423,
        0.00379024,
        0.00373532,
        0.00313476,
        0.00288698,
        0.0024068,
        0.00251493,
        0.00244467,
        0.00251687,
        0.00276512,
        0.00283081,
        0.00327469,
        0.00314921,
        0.00305499,
        0.00288813,
        0.00265225,
        0.00270577,
        0.00287372,
        0.00270133,
        0.0028676,
        0.00294017,
        0.00291782,
        0.00273501,
        0.00282569,
        0.00295876,
        0.00262861,
        0.0023671,
        0.00261837,
        0.00296778,
        0.00299131,
        0.00339368,
        0.0042222,
        0.00481856,
        0.00435675,
        0.00325196,
        0.00276922,
        0.00250866,
        0.00246545,
        0.00278104,
        0.00298689,
        0.00280299,
        0.00277103,
        0.00255807,
        0.00246723,
        0.0024872,
        0.00277361,
        0.00251264,
        0.00275365,
        0.00244493,
        0.0024728,
        0.00235657,
        0.00246607,
        0.0026107,
        0.00267887,
        0.00285876,
        0.00303099,
        0.00334639,
        0.00338542,
        0.00340568,
        0.00358352,
        0.00427277,
        0.00524312,
        0.00711997,
        0.00685111,
        0.00488071,
        0.00361836,
        0.00316109,
        0.00297064,
        0.0036555,
        0.00383814,
        0.00399102,
        0.00421258,
        0.00470248,
        0.00451557,
        0.00513494,
        0.00622007,
        0.0081608,
        0.00915348,
        0.0073332,
        0.00567044,
        0.00456841,
        0.00414016,
        0.00412499,
        0.00359643,
        0.00323541,
        0.00338099,
        0.00319447,
        0.00314512,
        0.00332954,
        0.00321624,
        0.00283335,
        0.00284503,
        0.00291936,
        0.00312794,
        0.00300548,
        0.00294017,
        0.00303957,
        0.00289519,
        0.00299086,
        0.00343683,
        0.00336887,
        0.00319618,
        0.00370511,
        0.00391971,
        0.00351768,
        0.00348697,
        0.00325237,
        0.00360898,
        0.00477273,
        0.00624012,
        0.00474749,
        0.00337493,
        0.00300563,
        0.00316669,
        0.00345312,
        0.00393076,
        0.00551965,
        0.0060166,
        0.00488007,
        0.00379928,
        0.00353845,
        0.00341323,
        0.00315045,
        0.00311681,
        0.00326411,
        0.00321817,
        0.0030507,
        0.00294072,
        0.00295253,
        0.0028973,
        0.00246525,
        0.0027293,
        0.00313464,
        0.00283926,
        0.00283584,
        0.00294818,
        0.00258868,
        0.00238292,
        0.00259161,
        0.00269942,
        0.00319898,
        0.00313802,
        0.00285523,
        0.00304211,
        0.00297932,
        0.00294316,
        0.00307013,
        0.00302424,
        0.00274332,
        0.00266093,
        0.00299103,
        0.00328932,
        0.00340507,
        0.00391882,
        0.00539962,
        0.006745,
        0.00600518,
        0.0045105,
        0.0038384,
        0.00327012,
        0.00322725,
        0.00313326,
        0.00330699,
        0.00400149,
        0.00383263,
        0.00333005,
        0.00337479,
        0.00322716,
        0.00327375,
        0.00359613,
        0.00290012,
        0.00295211,
        0.00261929,
        0.00255768,
        0.00259651,
        0.00274737,
        0.00271349,
        0.00260596,
        0.002748,
        0.00280671,
        0.00264813,
        0.0028413,
        0.00382868,
        0.00475125,
        0.00405692,
        0.00301759,
        0.00256738,
        0.00258313,
        0.00285306,
        0.00294606,
        0.00288557,
        0.00288003,
        0.00235396,
        0.00252892,
        0.00237714,
        0.00250213,
        0.00256649,
        0.00240838,
        0.00253183,
        0.00257628,
        0.00240743,
        0.00260363,
        0.00254465,
        0.00225747,
        0.00231024,
        0.00260803,
        0.00260841,
        0.00248676,
        0.00268944,
        0.00301635,
        0.00318683,
        0.00311697,
        0.00304282,
        0.00261864,
        0.00264049,
        0.00257901,
        0.00325652,
        0.00327767,
        0.00445927,
        0.00336141,
        0.00283155,
        0.00275004,
        0.00239912,
        0.0026757,
        0.00292047,
        0.00268436,
        0.00252981,
        0.00264388,
        0.00281252,
        0.0028441,
        0.00279889,
        0.00273523,
        0.0028882,
        0.00292195,
        0.00281777,
        0.00290581,
        0.00333022,
        0.00432148,
        0.0053919,
        0.00522142,
        0.0037343,
        0.0031512,
        0.00297207,
        0.00293839,
        0.0027217,
        0.00291612,
        0.00298967,
        0.00269824,
        0.00259715,
        0.00292962,
        0.00321237,
        0.00377668,
        0.00435341,
        0.00407911,
        0.00350422,
        0.00321948,
        0.00294934,
        0.00288704,
        0.0028912,
        0.00273903,
        0.00289858,
        0.00294174,
        0.00313773,
        0.00385851,
        0.00524418,
        0.00857809,
        0.00587994,
        0.00423421,
        0.00322572,
        0.00270952,
        0.00283515,
        0.00279286,
        0.00273801,
        0.0026974,
        0.0026173,
        0.00287814,
        0.00279601,
        0.00273862,
        0.00282986,
        0.00254852,
        0.00269419,
        0.00311504,
        0.00355449,
        0.00455282,
        0.00471877,
        0.00355102,
        0.0028313,
        0.002558,
        0.00270472,
        0.00301909,
        0.00316526,
        0.00328475,
        0.00319243,
        0.00293969,
        0.0026294,
        0.00285096,
        0.00264742,
        0.00272597,
        0.0024265,
        0.00239314,
        0.0024556,
        0.00255978,
        0.0028057,
        0.00285722,
        0.00278183,
        0.00279747,
        0.00271641,
        0.00312901,
        0.00352426,
        0.00307709,
        0.00255923,
        0.00251942,
        0.00259518,
        0.00270178,
        0.00266056,
        0.00254791,
        0.00308746,
        0.0040877,
        0.00463672,
        0.00439284,
        0.00342716,
        0.0030766,
        0.00327243,
        0.00475556,
        0.00540804,
        0.00440603,
        0.00318321,
        0.00296156,
        0.00307451,
        0.00387385,
        0.00313435,
        0.00337964,
        0.0037021,
        0.00335604,
        0.00306408,
        0.00320062,
        0.00290088,
        0.00310309,
        0.00309882,
        0.00311433,
        0.00286413,
        0.00280275,
        0.00299648,
        0.00293544,
        0.0028342,
        0.00280339,
        0.00283946,
        0.00283978,
        0.00287478,
        0.00294209,
        0.00290758,
        0.00298069,
        0.00285627,
        0.00292598,
        0.00281783,
        0.00261663,
        0.00261817,
        0.00279196,
        0.00262622,
        0.00304418,
        0.00303392,
        0.0032554,
        0.00376696,
        0.00509233,
        0.00462226,
        0.00391575,
        0.00414457,
        0.00584877,
        0.00587807,
        0.00469892,
        0.00377087,
        0.00358203,
        0.00357408,
        0.00411738,
        0.0042194,
        0.00427733,
        0.00413919,
        0.00416524,
        0.00442028,
        0.00513179,
        0.00581969,
        0.0065174,
        0.00718051,
        0.00694402,
        0.00687488,
        0.00697362,
        0.00637596,
        0.0060866,
        0.00498752,
        0.00454967,
        0.00398935,
        0.00456953,
        0.00366896,
        0.00389521,
        0.00362986,
        0.00485318,
        0.00633265,
        0.00504493,
        0.00315154,
        0.0028777,
        0.00297194,
        0.00285807,
        0.00276584,
        0.00265406,
        0.00266153,
        0.002432,
        0.00235079,
        0.00236244,
        0.00233762,
        0.002683,
        0.00274852,
        0.00273496,
        0.00296349,
        0.00282657,
        0.00238204,
        0.00226511,
        0.00238914,
        0.00278791,
        0.00334127,
        0.00328339,
        0.00290819,
        0.00268321,
        0.00239919,
        0.00262571,
        0.00281124,
        0.003037,
        0.00240962,
        0.00253472,
        0.00255499,
        0.00272636,
        0.00323263,
        0.00427636,
        0.00344203,
        0.00303533,
        0.00270447,
        0.0025168,
        0.00234428,
        0.00223776,
        0.00255846,
        0.00285493,
        0.00262383,
        0.00280692,
        0.0027135,
        0.00297112,
        0.00272239,
        0.00261959,
        0.00310155,
        0.00399625,
        0.00530915,
        0.00511209,
        0.0040644,
        0.00320367,
        0.00294377,
        0.00314091,
        0.00298573,
        0.00266012,
        0.00259192,
        0.00267216,
        0.00280894,
        0.00284542,
        0.00286601,
        0.00275824,
        0.00262561,
        0.00265927,
        0.00287951,
        0.00263794,
        0.00293484,
        0.00304987,
        0.00278645,
        0.0029369,
        0.00307559,
        0.00288963,
        0.00266776,
        0.0029048,
        0.00324946,
        0.00509109,
        0.00495534,
        0.00364949,
        0.00310786,
        0.003278,
        0.00293291,
        0.00298371,
        0.00328432,
        0.00314561,
        0.0029502,
        0.00286803,
        0.00301302,
        0.00293582,
        0.00301936,
        0.00322503,
        0.0030104,
        0.00312034,
        0.00354051,
        0.00394716,
        0.00587594,
        0.00832992,
        0.00844736,
        0.00712384,
        0.00555539,
        0.00398667,
        0.00338951,
        0.00300435,
        0.0032938,
        0.00333346,
        0.00302099,
        0.00310852,
        0.00341272,
        0.00363951,
        0.00369315,
        0.00451797,
        0.00403648,
        0.00522306,
        0.00706771,
        0.00492179,
        0.00380999,
        0.00353127,
        0.0029335,
        0.00282009,
        0.0030717,
        0.00290654,
        0.00288533,
        0.00252376,
        0.00284892,
        0.00325344,
        0.00323095,
        0.00313822,
        0.00312867,
        0.00369638,
        0.00369604,
        0.00397199,
        0.0054285,
        0.0065904,
        0.00688357,
        0.00741333,
        0.00869953,
        0.00950824,
        0.00913519,
        0.0089926,
        0.00546309,
        0.0044399,
        0.0038536,
        0.00413298,
        0.00318162,
        0.0036806,
        0.00351331,
        0.00357635,
        0.003338,
        0.0034251,
        0.00346245,
        0.00307653,
        0.00341221,
        0.00359858,
        0.00329764,
        0.00294184,
        0.0029917,
        0.00298429,
        0.00297981,
        0.00270864,
        0.00274494,
        0.00286309,
        0.002963,
        0.00313269,
        0.00285609,
        0.00281361,
        0.00276467,
        0.00294264,
        0.00280371,
        0.00265,
        0.00297169,
        0.00322572,
        0.00312999,
        0.00283193,
        0.00279333,
        0.00300348,
        0.00308835,
        0.00305187,
        0.00335562,
        0.00403663,
        0.00451967,
        0.00458447,
        0.00389786,
        0.00345938,
        0.00395106,
        0.00507403,
        0.00694727,
        0.00735081,
        0.00455119,
        0.00369389,
        0.00335167,
        0.0031996,
        0.00350722,
        0.00311458,
        0.00316895,
        0.00307105,
        0.00271669,
        0.00289623,
        0.00275497,
        0.00299658,
        0.00315875,
        0.00285236,
        0.00298794,
        0.00286441,
        0.00292159,
        0.00298383,
        0.0029709,
        0.0029861,
        0.00269056,
        0.00249394,
        0.00263548,
        0.00273257,
        0.00285248,
        0.00309948,
        0.00298363,
        0.00313542,
        0.00378208,
        0.00504318,
        0.00522627,
        0.00390812,
        0.00310661,
        0.00292252,
        0.00265024,
        0.00272951,
        0.00293973,
        0.00284361,
        0.00265902,
        0.00241757,
        0.0026227,
        0.00271545,
        0.00267079,
        0.00293504,
        0.00296959,
        0.00304503,
        0.00358885,
        0.00414255,
        0.0032844,
        0.00309157,
        0.00280157,
        0.00300387,
        0.00289996,
        0.00286185,
        0.00251935,
        0.00276985,
        0.00325836,
        0.00317269,
        0.0027645,
        0.00306008,
        0.00304845,
        0.0028493,
        0.00271169,
        0.0032622,
        0.00445177,
        0.00373052,
        0.00278116,
        0.00265584,
        0.00281357,
        0.00292471,
        0.00284369,
        0.00295324,
        0.00297578,
        0.0027854,
        0.00277097,
        0.00275736,
        0.00339355,
        0.00506835,
        0.00487486,
        0.00380262,
        0.00277987,
        0.00272449,
        0.00271292,
        0.00271501,
        0.00268952,
        0.00240569,
        0.00251466,
        0.00292523,
        0.00287377,
        0.00274196,
        0.00258524,
        0.00238988,
        0.00239209,
        0.00263109,
        0.00258511,
        0.00285888,
        0.00259853,
        0.00315781,
        0.0033906,
        0.00425277,
        0.00509161,
        0.0043751,
        0.00395717,
        0.0032461,
        0.00328858,
        0.00355889,
        0.00299078,
        0.00285968,
        0.00343124,
        0.00294137,
        0.00322781,
        0.00318732,
        0.00322055,
        0.00368976,
        0.00376351,
        0.00340033,
        0.00349455,
        0.00374876,
        0.00360731,
        0.00412689,
        0.00404026,
        0.00506866,
        0.00595999,
        0.00976213,
        0.0101458,
        0.00766015,
        0.00699312,
        0.00808109,
        0.00925049,
        0.0128498,
        0.0133834,
        0.00960686,
        0.00670556,
        0.00554091,
        0.00444723,
        0.00406857,
        0.00419583,
        0.00420252,
        0.00459752,
        0.00506962,
        0.00581549,
        0.00608139,
        0.00480052,
        0.00390615,
        0.00373554,
        0.00352518,
        0.00343409,
        0.00324179,
        0.00314824,
        0.00280469,
        0.00281372,
        0.00295269,
        0.00316673,
        0.00377925,
        null,
        0.00237163,
        0.00233158,
        0.00229154,
        0.00231477,
        0.00233723,
        0.00221721,
        0.00229247,
        0.00254599,
        0.0026135,
        0.00266415,
        0.00265583,
        0.00287702,
        0.00262642,
        0.00248019,
        0.00259617,
        0.00258695,
        0.00259352,
        0.00252978,
        0.00244904,
        0.0025068,
        0.00281752,
        0.0031527,
        0.00393228,
        0.00461404,
        0.00440517,
        0.00348467,
        0.00277864,
        0.00263205,
        0.00247126,
        0.00287826,
        0.00311158,
        0.00423135,
        0.00479969,
        0.00436269,
        0.00350325,
        0.00304153,
        0.00281908,
        0.00261533,
        0.00259989,
        0.00241783,
        0.00278343,
        0.00268865,
        0.00257759,
        0.00239887,
        0.00232209,
        0.00223466,
        0.00217043,
        0.00219886,
        0.00229342,
        0.00230846,
        0.00217984,
        0.00228881,
        0.00226427,
        0.0024821,
        0.00222206,
        0.00226319,
        0.00239549,
        0.00242229,
        0.00268699,
        0.00291002,
        0.00282718,
        0.00310982,
        0.00303839,
        0.00402908,
        0.00454451,
        0.0045335,
        0.00348591,
        0.00283607,
        0.00251657,
        0.00257164,
        0.00256693,
        0.00223075,
        0.00217775,
        0.00234802,
        0.00237131,
        0.00239916,
        0.00246108,
        0.00326211,
        0.00307563,
        0.00265169,
        0.00243604,
        0.00227991,
        0.00210631,
        0.00204834,
        0.0021212,
        0.0022192,
        0.00218539,
        0.00216679,
        0.00195285,
        0.00215291,
        0.00215084,
        0.00220616,
        0.00257844,
        0.00281944,
        0.00257415,
        0.00235456,
        0.00238674,
        0.00283123,
        0.00394097,
        0.00365135,
        0.00306212,
        0.00260985,
        0.00248882,
        0.00240788,
        0.00242763,
        0.00287224,
        0.00381367,
        0.00508214,
        0.0047421,
        0.00325071,
        0.00272971,
        0.00245943,
        0.00232282,
        0.00220869,
        0.00215303,
        0.00216578,
        0.00221227,
        0.00223015,
        0.00219481,
        0.00242732,
        0.00247691,
        0.00242468,
        0.00239916,
        0.00217525,
        0.00222268,
        0.00229659,
        0.00247183,
        0.00260876,
        0.00244389,
        0.00227681,
        0.00234632,
        0.00221342,
        0.00235658,
        0.00241755,
        0.00236722,
        0.00232117,
        0.0023807,
        0.00244166,
        0.00246953,
        0.00265933,
        0.00319868,
        0.00384932,
        0.00395641,
        0.00431539,
        0.0031892,
        0.00263935,
        0.00234301,
        0.00240272,
        0.00235133,
        0.00223641,
        0.00227601,
        0.00229204,
        0.00211709,
        0.00220973,
        0.00238364,
        0.0025399,
        0.00232154,
        0.00213105,
        0.00223807,
        0.0023126,
        0.00227777,
        0.00215221,
        0.00205155,
        0.00206556,
        0.00205856,
        0.00215935,
        0.00217478,
        0.00219065,
        0.0026748,
        0.00349836,
        0.00472756,
        0.00459406,
        0.00349394,
        0.00276886,
        0.0025666,
        0.0023721,
        0.0023827,
        0.00228307,
        0.00225973,
        0.00255909,
        0.00250595,
        0.00289113,
        0.0039704,
        0.00456723,
        0.00404104,
        0.00304078,
        0.002447,
        0.00235402,
        0.00278138,
        0.00387381,
        0.00516811,
        0.00390848,
        0.00340389,
        0.00280846,
        0.00250842,
        0.00283884,
        0.00346642,
        0.00357301,
        0.00293311,
        0.00249428,
        0.0023767,
        0.00245457,
        0.00228855,
        0.00268191,
        0.00268174,
        0.00271558,
        0.00310588,
        0.00344169,
        0.0035988,
        0.00361721,
        0.00342651,
        0.00350784,
        0.00363211,
        0.00443623,
        0.00535602,
        0.00625412,
        0.00775494,
        0.0060855,
        0.00475146,
        0.00419309,
        0.00384908,
        0.00379768,
        0.00375352,
        0.00334955,
        0.00320498,
        0.00311829,
        0.00321919,
        0.0031371,
        0.00306302,
        0.003289,
        0.00339008,
        0.00322887,
        0.0030454,
        0.0027894,
        0.00286815,
        0.00273798,
        0.00278907,
        0.00237068,
        0.00229555,
        0.00229503,
        0.00229932,
        0.00228485,
        0.00235485,
        0.00249178,
        0.00265619,
        0.00298597,
        0.00311283,
        0.00275849,
        0.00264189,
        0.00292903,
        0.00319633,
        0.00383908,
        0.00376637,
        0.0030079,
        0.00261389,
        0.00268753,
        0.00264402,
        0.00271011,
        0.00254529,
        0.00243546,
        0.0031991,
        0.00401527,
        0.0040871,
        0.00352495,
        0.00315824,
        0.00278454,
        0.00255037,
        0.00257395,
        0.00253578,
        0.00246815,
        0.00214267,
        0.00210389,
        0.00209833,
        0.00227268,
        0.00240357,
        0.00233768,
        0.00217356,
        0.00218354,
        0.00236489,
        0.00248401,
        0.0024453,
        0.00237778,
        0.00231482,
        0.00228815,
        0.00231078,
        0.00243009,
        0.00231434,
        0.002382,
        0.00258425,
        0.00272696,
        0.00267355,
        0.00270643,
        0.00289204,
        0.0027388,
        0.00271542,
        0.00288871,
        0.00397413,
        0.00459065,
        0.0042663,
        0.00372961,
        0.00341967,
        0.00333504,
        0.0033765,
        0.00363705,
        0.00409892,
        0.00420488,
        0.00348919,
        0.00325562,
        0.00286414,
        0.00283658,
        0.00308092,
        0.00321985,
        0.00344391,
        0.00354361,
        0.00368756,
        0.00362647,
        0.00318401,
        0.00306347,
        0.00324898,
        0.00312434,
        0.0028143,
        0.00286709,
        0.0029437,
        0.00341349,
        0.00350849,
        0.00368941,
        0.00399233,
        0.0039267,
        0.00381512,
        0.00416675,
        0.0044037,
        0.00644793,
        0.00852339,
        0.00554957,
        0.0046071,
        0.00437582,
        0.00422518,
        0.00446685,
        0.00482771,
        0.00514378,
        0.00587234,
        0.00516456,
        0.00446715,
        0.00511925,
        0.00526819,
        0.0055279,
        0.00539629,
        0.00597602,
        0.00698138,
        0.00745318,
        0.00751669,
        0.00749355,
        0.00760284,
        0.0101375,
        null,
        0.00647471,
        0.0052491,
        0.00454762,
        0.00394292,
        0.00334779,
        0.00337769,
        0.003019,
        0.00294764,
        0.0027252,
        0.00244992,
        0.00271141,
        0.002796,
        0.00254969,
        0.00241272,
        0.00243142,
        0.00276915,
        0.00321384,
        0.00355352,
        0.0043665,
        0.00471662,
        0.00348975,
        0.00256097,
        0.00242064,
        0.00231433,
        0.00214241,
        0.002095,
        0.00232892,
        0.00243797,
        0.00245408,
        0.00260776,
        0.00256573,
        0.00230503,
        0.00216855,
        0.0023046,
        0.00236571,
        0.00243535,
        0.00253983,
        0.00328939,
        0.00416077,
        0.00426513,
        0.00451903,
        0.0057275,
        0.00650859,
        0.00539528,
        0.00366629,
        0.0027491,
        0.00261501,
        0.00213646,
        0.00194083,
        0.00202436,
        0.00210429,
        0.00208851,
        0.00205199,
        0.00215045,
        0.00226314,
        0.00215042,
        0.00207264,
        0.00227303,
        0.00209126,
        0.00198284,
        0.00234861,
        0.00237543,
        0.0028478,
        0.00419167,
        0.00431252,
        0.00366104,
        0.00296122,
        0.00235883,
        0.00245523,
        0.00286028,
        0.00314081,
        0.00356144,
        0.00294051,
        0.00250464,
        0.00231839,
        0.00234518,
        0.00230295,
        0.00213583,
        0.00204999,
        0.0021139,
        0.0020789,
        0.00184089,
        0.00182839,
        0.00201926,
        0.00191431,
        0.00198995,
        0.00195001,
        0.00208801,
        0.00211275,
        0.00194812,
        0.00204777,
        0.00215346,
        0.00210996,
        0.00214291,
        0.00209682,
        0.00208336,
        0.00208483,
        0.0020793,
        0.00214725,
        0.00229753,
        0.00234031,
        0.00235815,
        0.00281715,
        0.00284418,
        0.00241933,
        0.00216646,
        0.00214296,
        0.00217921,
        0.00219481,
        0.00217016,
        0.00231032,
        0.00239812,
        0.00261303,
        0.00352805,
        0.00380897,
        0.00314013,
        0.00252111,
        0.0023715,
        0.00240308,
        0.00245263,
        0.00252142,
        0.0025829,
        0.00246889,
        0.0027003,
        0.0034946,
        0.00381802,
        0.00283462,
        0.0025203,
        0.00236574,
        0.0023256,
        0.00237633,
        0.00228591,
        0.00215408,
        0.00211704,
        0.00207999,
        0.00203326,
        0.00216874,
        0.00216363,
        0.00224619,
        0.00237371,
        0.00219053,
        0.00208112,
        0.00209192,
        0.00217535,
        0.00219088,
        0.00214956,
        0.00225159,
        0.0021191,
        0.00216496,
        0.00209006,
        0.00214753,
        0.00217872,
        0.00220391,
        0.00279862,
        0.00322962,
        0.00450937,
        0.00515792,
        0.00418277,
        0.00387728,
        0.0033775,
        0.00281037,
        0.00248364,
        0.00235965,
        0.00247208,
        0.00272422,
        0.00269079,
        0.00260978,
        0.00305101,
        0.00279547,
        0.00315091,
        0.00356325,
        0.00380748,
        0.00455618,
        0.00453696,
        0.00382317,
        0.00333221,
        0.00309571,
        0.00280809,
        0.00276551,
        0.00287222,
        0.00277241,
        0.00283271,
        0.00260676,
        0.00259362,
        0.00270344,
        0.00300017,
        0.00389283,
        0.00471273,
        0.0049747,
        0.0047636,
        0.00412149,
        0.00323028,
        0.00277671,
        0.002412,
        0.00209018,
        0.00201839,
        0.00218807,
        0.0021168,
        0.00203901,
        0.00210364,
        0.00208878,
        0.00210537,
        0.00217792,
        0.00224721,
        0.00239178,
        0.00229505,
        0.00229492,
        0.00206769,
        0.00214801,
        0.00204687,
        0.0021102,
        0.00212751,
        0.00210092,
        0.00205442,
        0.00221388,
        0.00232451,
        0.00231504,
        0.00257873,
        0.00287315,
        0.00287737,
        0.002512,
        0.00247939,
        0.00224365,
        0.00205721,
        0.00225787,
        0.00218473,
        0.00208275,
        0.00208358,
        0.00204719,
        0.00211577,
        0.00237795,
        0.00261655,
        0.00312212,
        0.00368224,
        0.00290412,
        0.00242587,
        0.00218652,
        0.00220375,
        0.00216368,
        0.00209057,
        0.00212225,
        0.00220081,
        0.00214193,
        0.00206162,
        0.00216233,
        0.00223211,
        0.0023271,
        0.00237726,
        0.00199928,
        0.00229587,
        0.00220339,
        0.00209665,
        0.00202566,
        0.00228237,
        0.00247205,
        0.00240033,
        0.00235584,
        0.0023145,
        0.00215528,
        0.00233492,
        0.00235339,
        0.00243194,
        0.0027214,
        0.00352296,
        0.00417765,
        0.0034317,
        0.00262242,
        0.00218983,
        0.00220022,
        0.0022735,
        0.00220105,
        0.00218006,
        0.0021866,
        0.00215842,
        0.00222867,
        0.00245783,
        0.00271446,
        0.00290381,
        0.00275668,
        0.00255297,
        0.00234326,
        0.00237828,
        0.00233814,
        0.00249485,
        0.0031098,
        0.00343421,
        0.00303308,
        0.00286797,
        0.00318109,
        0.00312324,
        0.00392197,
        0.00601097,
        0.00578695,
        0.00427639,
        0.00371003,
        0.00370387,
        0.00417033,
        0.00481919,
        0.0055969,
        0.00523078,
        0.00412929,
        0.00379275,
        0.00341052,
        0.00313352,
        0.00318699,
        0.00319434,
        0.00303247,
        0.00380493,
        0.00478916,
        0.00432164,
        0.00368232,
        0.00316444,
        0.00291733,
        0.00305493,
        0.0032336,
        0.00321405,
        0.00316012,
        0.00298373,
        0.00285678,
        0.00303768,
        0.00291809,
        0.00298223,
        0.00295663,
        0.00310567,
        0.00317351,
        0.00316848,
        0.00296228,
        0.0029841,
        0.00315013,
        0.00324115,
        0.00341841,
        0.00359554,
        0.00435444,
        0.00546118,
        0.00518944,
        0.00515938,
        0.0054868,
        0.00626795,
        0.00634715,
        null,
        0.00691334,
        0.00538174,
        0.00462509,
        0.00431168,
        0.00399556,
        0.00390253,
        0.00363637,
        0.00337631,
        0.00346132,
        0.00313685,
        0.00350845,
        0.0034627,
        0.00305486,
        0.00295903,
        0.00270232,
        0.00286339,
        0.00308327,
        0.00334589,
        0.00334147,
        0.00336692,
        0.00391608,
        0.00414509,
        0.00471624,
        0.0054188,
        0.00651476,
        0.00559467,
        0.00550424,
        0.00489277,
        0.00441382,
        0.00397455,
        0.00379636,
        0.00357389,
        0.00343971,
        0.00358198,
        0.00416034,
        0.00535637,
        0.00600829,
        0.00521956,
        0.00378893,
        0.00289044,
        0.00245335,
        0.00278178,
        0.00250351,
        0.00238965,
        0.00232613,
        0.00230333,
        0.00235891,
        0.0023524,
        0.0022803,
        0.00224584,
        0.00221589,
        0.00235574,
        0.00229539,
        0.00271159,
        0.00262271,
        0.00236306,
        0.00243481,
        0.00229714,
        0.00223701,
        0.00231964,
        0.0022493,
        0.00241258,
        0.00315823,
        0.00410918,
        0.00441359,
        0.00348029,
        0.00266296,
        0.00263847,
        0.00244311,
        0.00242835,
        0.00271279,
        0.00361888,
        0.00377167,
        0.003251,
        0.00270138,
        0.00239153,
        0.00229692,
        0.00227543,
        0.00223525,
        0.0022459,
        0.0022634,
        0.00218724,
        0.00212627,
        0.00207911,
        0.00218332,
        0.00221978,
        0.00217232,
        0.00217867,
        0.00211017,
        0.00201983,
        0.00205433,
        0.00223607,
        0.00263569,
        0.00296255,
        0.00264227,
        0.00233502,
        0.00217181,
        0.00225702,
        0.00233042,
        0.00213595,
        0.00198625,
        0.00214367,
        0.00213132,
        0.00230256,
        0.00219205,
        0.00204231,
        0.00208953,
        0.00214369,
        0.00223916,
        0.00236695,
        0.00230821,
        0.00229385,
        0.00245287,
        0.0032683,
        0.00358346,
        0.00286723,
        0.00254844,
        0.0022706,
        0.0022986,
        0.00248114,
        0.0025865,
        0.00257618,
        0.00235435,
        0.00210977,
        0.00233937,
        0.00259406,
        0.00265937,
        0.00238597,
        0.00266092,
        0.00229687,
        0.00231018,
        0.00238442,
        0.00232574,
        0.00221681,
        0.00220478,
        0.00224333,
        0.00226893,
        0.0023131,
        0.00246276,
        0.00265308,
        0.00257408,
        0.00268103,
        0.0025849,
        0.00303075,
        0.00397385,
        0.00502591,
        0.00512727,
        0.00444652,
        0.00412553,
        0.00384885,
        0.00353028,
        0.00365756,
        0.00424597,
        0.00481917,
        0.00544788,
        0.00694364,
        0.0076047,
        0.00610354,
        0.00522514,
        0.00464189,
        0.00460131,
        0.0044684,
        0.00391384,
        0.00316502,
        0.00253547,
        0.00235601,
        0.00253689,
        0.00270249,
        0.00265515,
        0.0026247,
        0.00235469,
        0.00226834,
        0.00268947,
        0.00268895,
        0.00336099,
        0.0043365,
        0.0048782,
        0.00513995,
        0.00503235,
        0.00428894,
        0.00336261,
        0.00273534,
        0.00294986,
        0.00399117,
        0.00422921,
        0.00322835,
        0.00286401,
        0.0024296,
        0.0022349,
        0.00218457,
        0.00222988,
        0.00221812,
        0.00229861,
        0.00235748,
        0.00251609,
        0.00276673,
        0.00246183,
        0.00216848,
        0.00231344,
        0.00240364,
        0.00276635,
        0.00373639,
        0.00331846,
        0.00278903,
        0.00244265,
        0.00236775,
        0.00230398,
        0.00227527,
        0.00225879,
        0.00217597,
        0.00213949,
        0.00222137,
        0.00223258,
        0.00219868,
        0.00242845,
        0.00226015,
        0.00227348,
        0.00247336,
        0.0030721,
        0.00334963,
        0.0028505,
        0.00244776,
        0.00227281,
        0.00233715,
        0.00245806,
        0.00244867,
        0.00246578,
        0.00254288,
        0.00247872,
        0.00256139,
        0.00265563,
        0.00241507,
        0.00253427,
        0.00268079,
        0.00273458,
        0.00278311,
        0.00246054,
        0.00255408,
        0.00263427,
        0.00257884,
        0.00278684,
        0.00333117,
        0.00371914,
        0.00344897,
        0.002907,
        0.00250059,
        0.00233136,
        0.00231895,
        0.00240417,
        0.00240437,
        0.00228581,
        0.00228506,
        0.00292771,
        0.0038766,
        0.00437817,
        0.00374712,
        0.0029207,
        0.00272986,
        0.00255005,
        0.00230019,
        0.00234747,
        0.00265039,
        0.00236824,
        0.00262416,
        0.00255316,
        0.00229478,
        0.00240354,
        0.00243727,
        0.00250904,
        0.00258294,
        0.00285703,
        0.00313948,
        0.00297525,
        0.00259868,
        0.0025786,
        0.00262009,
        0.00242648,
        0.00253549,
        0.00269023,
        0.00307924,
        0.00288138,
        0.00301587,
        0.00335667,
        0.00341881,
        0.00366103,
        0.00445114,
        0.00473929,
        0.00517123,
        0.00650957,
        0.0083717,
        0.00793887,
        0.00615283,
        0.00497889,
        0.00413881,
        0.00371942,
        0.00337826,
        0.00318458,
        0.00294168,
        0.00281143,
        0.00276087,
        0.00252753,
        0.00290999,
        0.00284184,
        null,
        0.00222611,
        0.00217398,
        0.00212184,
        0.00207776,
        0.00228189,
        0.00241972,
        0.00244281,
        0.00233164,
        0.00224315,
        0.00232681,
        0.00254221,
        0.00253261,
        0.00236094,
        0.00212155,
        0.00199148,
        0.00206792,
        0.00218854,
        0.00228742,
        0.00233407,
        0.00216994,
        0.00217135,
        0.00226692,
        0.00244495,
        0.00275648,
        0.0029912,
        0.00314115,
        0.00278888,
        0.00245281,
        0.00240633,
        0.00230709,
        0.00224476,
        0.00222666,
        0.00229498,
        0.0023437,
        0.00231824,
        0.0023653,
        0.0024317,
        0.00237895,
        0.00244909,
        0.00268977,
        0.00267421,
        0.00241443,
        0.00226723,
        0.00229337,
        0.00229667,
        0.00231197,
        0.00239269,
        0.0023617,
        0.00250932,
        0.00269585,
        0.00328297,
        0.00377483,
        0.00339918,
        0.00293705,
        0.00280102,
        0.00280447,
        0.00292805,
        0.00307758,
        0.00332024,
        0.00318779,
        0.00317719,
        0.00346757,
        0.00357447,
        0.00422131,
        0.00454744,
        0.00463138,
        0.00428008,
        0.00467819,
        0.0054522,
        0.0062894,
        0.00800328,
        0.011443,
        0.00982302,
        0.00728231,
        0.00578997,
        0.00510978,
        0.0042084,
        0.00367426,
        0.00349355,
        0.00313352,
        0.00284599,
        0.00280485,
        0.00255029,
        0.00263037,
        0.00276786,
        0.0027743,
        0.00264284,
        0.00261822,
        0.00261291,
        0.0025313,
        0.00246731,
        0.00244659,
        0.00250024,
        0.00286528,
        0.00387629,
        0.00508874,
        0.00580127,
        0.00480161,
        0.00333352,
        0.0026806,
        0.00271312,
        0.00284025,
        0.00271978,
        0.00280296,
        0.0033848,
        0.00327065,
        0.00287486,
        0.00256939,
        0.00241031,
        0.00248569,
        0.00248827,
        0.00231235,
        0.00233047,
        0.00241005,
        0.00225276,
        0.00227513,
        0.00238579,
        0.00243575,
        0.00261415,
        0.00293707,
        0.00345036,
        0.0038762,
        0.0031353,
        0.00291737,
        0.00295583,
        0.00252372,
        0.00220605,
        0.00231513,
        0.00250337,
        0.00267164,
        0.00265437,
        0.00274866,
        0.00301595,
        0.00325717,
        0.00356268,
        0.00337839,
        0.00279698,
        0.0027511,
        0.00287363,
        0.00279544,
        0.00272306,
        0.00262799,
        0.00242653,
        0.00238074,
        0.00238287,
        0.00220969,
        0.00234975,
        0.0023347,
        0.00232538,
        0.00238591,
        0.0023607,
        0.00231952,
        0.00233487,
        0.00231412,
        0.00223768,
        0.00226308,
        0.00244312,
        0.00277192,
        0.00329708,
        0.00298999,
        0.00267326,
        0.00274896,
        0.00275636,
        0.0022584,
        0.00216074,
        0.00221823,
        0.00246498,
        0.00311598,
        0.00396251,
        0.00384661,
        0.003284,
        0.00279081,
        0.00248522,
        0.00226058,
        0.00222507,
        0.00221748,
        0.00222036,
        0.00233921,
        0.00222809,
        0.00214626,
        0.00200526,
        0.00201856,
        0.00214749,
        0.0021967,
        0.00209774,
        0.00209155,
        0.00216147,
        0.00225164,
        0.00235981,
        0.00232901,
        0.00224012,
        0.00208831,
        0.00217447,
        0.00235019,
        0.00230853,
        0.00224433,
        0.00219323,
        0.00212718,
        0.00210016,
        0.00212276,
        0.0022679,
        0.00231099,
        0.00226828,
        0.0023913,
        0.00232335,
        0.00239195,
        0.00273821,
        0.00298197,
        0.00250028,
        0.00255699,
        0.0023368,
        0.00213974,
        0.00209493,
        0.00231446,
        0.00236832,
        0.0023857,
        0.00231137,
        0.00243167,
        0.00266073,
        0.00302129,
        0.00344856,
        0.00345394,
        0.00306973,
        0.00268143,
        0.002438,
        0.00252642,
        0.00265053,
        0.00259898,
        0.00290874,
        0.00328764,
        0.00437376,
        0.00542109,
        0.0053635,
        0.00546468,
        0.00510218,
        0.00461954,
        0.0042281,
        0.00407267,
        0.00414284,
        0.00450092,
        0.00509124,
        0.00584882,
        0.00736587,
        0.00571885,
        0.00548927,
        0.0061911,
        0.0060188,
        0.00559682,
        0.00453055,
        0.0036622,
        0.00344494,
        0.00325411,
        0.00292514,
        0.00269798,
        0.00258458,
        0.00260216,
        0.00269332,
        0.002762,
        0.00289313,
        0.00232781,
        0.00228254,
        0.00248534,
        0.00247515,
        0.00254664,
        0.00234069,
        0.00241647,
        0.00270977,
        0.0030381,
        0.0029038,
        0.00318194,
        0.00319426,
        0.00367322,
        0.00440545,
        0.00572607,
        0.00809742,
        0.00830722,
        0.00594555,
        0.00483917,
        0.00431735,
        0.00401643,
        0.004035,
        0.00410912,
        0.00530197,
        0.00559379,
        0.00521726,
        0.00589465,
        0.00534224,
        0.00532831,
        0.00645767,
        0.006475,
        0.00572282,
        0.00485512,
        0.00486583,
        0.00529657,
        0.00512051,
        0.00448095,
        0.0041931,
        0.00384669,
        0.00347128,
        0.00351888,
        0.00323625,
        0.00275608,
        0.00275196,
        0.00259276,
        0.00284576,
        0.00358259,
        0.00360314,
        0.00326376,
        0.00279746,
        0.00265612,
        0.0021917,
        0.00220473,
        0.00230116,
        0.00219517,
        0.00219735,
        0.00209881,
        0.00200774,
        0.00204216,
        0.00212827,
        0.00216576,
        0.00222155,
        0.00223615,
        0.00231659,
        0.00234654,
        0.00223251,
        0.00225179,
        0.002247,
        0.0022151,
        0.00204799,
        0.00218024,
        0.00253199,
        0.00275171,
        0.00247911,
        0.00235393,
        0.00213423,
        0.00245179,
        0.00204952,
        0.00222825,
        0.00232015,
        0.00234964,
        0.00234262,
        0.00226605,
        0.00224248,
        0.00226837,
        0.00222302,
        0.0022905,
        0.00228025,
        0.00214384,
        0.00217361,
        0.00224146,
        0.00217494,
        0.00211627,
        0.00204302,
        0.00198303,
        0.00206002,
        0.00224947,
        0.00223398,
        0.00240677,
        0.00273014,
        0.00324789,
        0.0030302,
        0.00286257,
        0.00234247,
        0.0022165,
        0.00228247,
        0.00266697,
        0.00330646,
        0.00376201,
        0.00315124,
        0.00263871,
        0.00252625,
        0.00241973,
        0.00246419,
        0.0024427,
        0.00222189,
        0.00230294,
        0.00253465,
        0.00280094,
        0.00357213,
        0.00349512,
        0.00293874,
        0.00258548,
        0.00242772,
        0.00284812,
        0.00323582,
        0.00269954,
        0.00265514,
        0.0024747,
        0.0022341,
        0.00278959,
        0.00332376,
        0.00355524,
        0.00321262,
        0.0032434,
        0.00301796,
        0.00275738,
        0.00277548,
        0.0030104,
        0.00315989,
        0.0032094,
        0.00368619,
        0.00433848,
        0.00418464,
        0.00371475,
        0.00385058,
        0.00394317,
        0.00428167,
        0.00379148,
        0.00386196,
        0.00406038,
        0.00464895,
        0.00770794,
        0.00767193,
        0.00909823,
        0.0100452,
        0.00759076,
        0.00561987,
        0.00482895,
        0.00498649,
        0.00555201,
        0.00504761,
        0.00402348,
        0.00375886,
        0.00324861,
        0.00310404,
        0.00277198,
        0.00266094,
        0.00270213,
        0.00321312,
        0.00372213,
        0.00314052,
        0.00295566,
        0.00264513,
        0.0027992,
        0.00295632,
        0.00293538,
        0.00268778,
        0.00251058,
        0.00269265,
        0.00272921,
        0.00267443,
        0.00246261,
        0.002502,
        0.00259027,
        0.0025751,
        0.00250294,
        0.00248804,
        0.00258525,
        0.00265695,
        0.00263145,
        0.0024738,
        0.00232132,
        0.00254852,
        0.00264366,
        0.00246442,
        0.00269273,
        0.00291431,
        0.00294506,
        0.00304649,
        0.00310322,
        0.00348464,
        0.00370055,
        0.00357618,
        0.00336243,
        0.00365141,
        0.00367786,
        0.00397776,
        0.00402927,
        0.00341372,
        0.00287942,
        0.00294014,
        0.00277201,
        0.00261859,
        0.00275392,
        0.00259875,
        0.00241098,
        0.00254274,
        0.00248584,
        0.00226353,
        0.00230176,
        0.00234669,
        0.00242972,
        0.00259596,
        0.00319732,
        0.00369627,
        0.00296905,
        0.00306125,
        0.00270171,
        0.00228722,
        0.00264688,
        0.00281657,
        0.00260252,
        0.00245258,
        0.00296283,
        0.00344552,
        0.00447472,
        0.00413554,
        0.0037716,
        0.00330333,
        0.00278803,
        0.00276707,
        0.00298782,
        0.0027432,
        0.00250237,
        0.00261149,
        0.00287581,
        0.00276024,
        0.00278234,
        0.00259327,
        0.00258682,
        0.00266489,
        0.0030136,
        0.00302023,
        0.00282916,
        0.00339449,
        0.00399176,
        0.00452828,
        0.00379614,
        0.00373835,
        0.00359033,
        0.00330688,
        0.00309073,
        0.00281585,
        0.00264463,
        0.00269003,
        0.00270001,
        0.0024599,
        0.00233913,
        0.00246654,
        0.00245158,
        0.00242891,
        0.00252763,
        0.0025661,
        0.00260377,
        0.00279191,
        0.00267646,
        0.00256576,
        0.00270171,
        0.00265294,
        0.00298821,
        0.00287347,
        0.00311975,
        0.00320652,
        0.00366903,
        0.00404036,
        0.00416764,
        0.003884,
        0.00342497,
        0.0032978,
        0.0030478,
        0.00309584,
        0.00324173,
        0.00310182,
        0.00329796,
        0.00335208,
        0.00333163,
        0.00360942,
        0.0035766,
        0.00320373,
        0.00311095,
        0.00318238,
        0.00332873,
        0.00367548,
        0.00385119,
        0.00421596,
        0.00496086,
        0.00600881,
        0.00651326,
        0.00707481,
        0.00866306,
        0.00801997,
        0.00745613,
        0.00702284,
        0.00741287,
        0.0075821,
        0.00733849,
        0.00679073,
        0.00647779,
        0.00598436,
        0.00620637,
        0.00746726,
        0.00980217,
        0.0112777,
        0.00897831,
        0.0075006,
        0.00738968,
        0.00812004,
        0.00850276,
        0.00922612,
        0.00991876,
        0.00814131,
        0.00675284,
        0.00627343,
        0.00531588,
        0.00504063,
        0.0043592,
        0.0039292,
        0.003867,
        0.00409599,
        0.00403351,
        0.00393044,
        0.0036309,
        0.00376502,
        0.00328874,
        0.00339096,
        0.00375372,
        0.00592379,
        0.00761541,
        0.00854751,
        0.0101821,
        0.0101394,
        0.00853212,
        0.0074946,
        0.00677404,
        0.00577039,
        0.00511163,
        0.0053005,
        0.00545008,
        0.00560531,
        0.00649134,
        0.00733737,
        0.00727114,
        0.00796429,
        0.00760683,
        0.00622045,
        0.00552023,
        0.00588527,
        0.00696201,
        0.00729722,
        0.00855451,
        0.0117173,
        0.0102176,
        0.0104575,
        0.00819553,
        0.00664525,
        0.00552544,
        0.00543269,
        0.00629723,
        0.00651495,
        0.00671315,
        0.00945173,
        0.013201,
        0.0125397,
        0.00947326,
        0.00831898,
        0.00874285,
        0.00859624,
        0.00821244,
        0.00627562,
        0.00550959,
        0.00592732,
        0.00711876,
        0.00765494,
        0.00885928,
        0.0108841,
        0.00965708,
        0.00853815,
        0.00800516,
        0.00780124,
        0.00857894,
        0.00910532,
        null,
        0.00581735,
        0.00559722,
        0.00535614,
        0.00482246,
        0.00464119,
        0.00432115,
        0.00524175,
        0.00560065,
        0.00513509,
        0.00485013,
        0.00440086,
        0.00433878,
        0.00420949,
        0.00460997,
        0.00413277,
        0.00364436,
        0.00341409,
        0.00347092,
        0.00381854,
        0.0037401,
        0.00346863,
        0.00343058,
        0.00314509,
        0.0030052,
        0.00307,
        0.00302279,
        0.0029139,
        0.00293281,
        0.00307374,
        0.0030293,
        0.00312202,
        0.0034198,
        0.00344911,
        0.00312609,
        0.00305711,
        0.00277296,
        0.00284846,
        0.00296953,
        0.00298786,
        0.00329134,
        0.00326436,
        0.00321945,
        0.00359127,
        0.00385224,
        0.00407478,
        0.00438716,
        0.00490678,
        0.00548878,
        0.00496741,
        0.00415837,
        0.00419824,
        0.00381249,
        0.00344447,
        0.00378411,
        0.00420235,
        0.00458097,
        0.00440475,
        0.00479602,
        0.00495525,
        0.00442949,
        0.00489662,
        0.00522779,
        0.00483324,
        0.00432935,
        0.00390406,
        0.00365073,
        0.00338096,
        0.00346329,
        0.00377178,
        0.00365742,
        0.00359103,
        0.00383596,
        0.00371536,
        0.00323956,
        0.00297857,
        0.00301048,
        0.00311612,
        0.00329913,
        0.00380705,
        0.00418047,
        0.00358865,
        0.00348229,
        0.00371395,
        0.00411374,
        0.0042537,
        0.00415375,
        0.00419201,
        0.00432844,
        0.00431584,
        0.0037692,
        0.00354905,
        0.00340981,
        0.00309372,
        0.00300232,
        0.00322167,
        0.00334163,
        0.00271259,
        0.00269486,
        0.0027566,
        0.00261546,
        0.00278371,
        0.00296596,
        0.00275918,
        0.00263574,
        0.00230163,
        0.00237245,
        0.00244034,
        0.00254204,
        0.00268273,
        0.00292308,
        0.00319081,
        0.00306095,
        0.00270709,
        0.0027792,
        0.00294308,
        0.00291179,
        0.00284709,
        0.00284234,
        0.00282683,
        0.00265616,
        0.00268742,
        0.00256157,
        0.00246529,
        0.00248272,
        0.00258032,
        null,
        0.00354149,
        0.00351676,
        0.00349204,
        0.00364517,
        0.0036946,
        0.00371227,
        0.00404058,
        0.00388253,
        0.00376005,
        0.00370185,
        0.00359541,
        0.00366127,
        0.00363015,
        0.00364281,
        0.0039789,
        0.00421293,
        0.00437497,
        0.00459382,
        0.00498477,
        0.00483356,
        0.00482869,
        0.00465903,
        0.00425672,
        0.00399615,
        0.00355228,
        0.00352999,
        0.00358039,
        0.00331645,
        0.0034757,
        0.00347957,
        0.00351715,
        0.00343267,
        0.00301292,
        0.00297634,
        0.00314303,
        0.00318975,
        0.00323581,
        0.00315398,
        0.00302543,
        0.0030425,
        0.00319723,
        0.00324721,
        0.00312369,
        0.00307697,
        0.0032364,
        0.00348372,
        0.00341713,
        0.00320969,
        0.00358601,
        0.00374564,
        0.00367529,
        0.00358927,
        0.0034696,
        0.00349438,
        0.00381102,
        0.00410374,
        0.00427202,
        0.00463012,
        0.00491398,
        0.00472475,
        0.00438012,
        0.00443566,
        0.00454978,
        0.00448407,
        0.0041464,
        0.00381176,
        0.00376829,
        0.0036712,
        0.00339546,
        0.00322663,
        0.00359368,
        0.00379407,
        0.00420631,
        0.00421447,
        0.00416137,
        0.00396367,
        0.0038479,
        0.00357783,
        0.00338059,
        0.00359217,
        0.00341352,
        0.00320155,
        0.0034874,
        0.00344492,
        0.00338566,
        0.00372992,
        0.0038563,
        0.00406446,
        0.00427738,
        0.00450836,
        0.00499382,
        0.00534392,
        0.00538375,
        0.00603056,
        0.00751589,
        0.00903466,
        0.0124049,
        0.00969507,
        0.00785202,
        0.00612654,
        0.00520225,
        0.00506228,
        0.00512532,
        0.00460492,
        0.00473495,
        0.00467271,
        0.00480613,
        0.00433909,
        0.00384161,
        0.00376814,
        0.0039181,
        0.00410321,
        0.00374077,
        0.00344921,
        0.00357122,
        0.00357958,
        0.0034931,
        0.00364471,
        0.00331829,
        0.00332881,
        0.00364361,
        0.00390701,
        0.00376551,
        0.00368617,
        0.00362911,
        0.00351603,
        0.0033808,
        0.00312557,
        0.0029374,
        0.00316203,
        0.00322585,
        0.00327652,
        0.00294364,
        0.00325065,
        0.00310432,
        0.00308062,
        0.00306888,
        0.0032558,
        0.00311276,
        0.00309581,
        0.00299212,
        0.00301127,
        0.00281496,
        0.00343085,
        0.00354323,
        0.00403925,
        0.00442844,
        0.00410925,
        0.00445955,
        0.00478293,
        0.00490923,
        0.00467286,
        0.00453484,
        0.00396964,
        0.003634,
        0.00359705,
        0.00355464,
        0.00357432,
        0.00336048,
        0.00325457,
        0.00310587,
        0.00305324,
        0.00339401,
        0.00330436,
        0.00341329,
        0.00346938,
        0.00332249,
        0.00361063,
        0.0036274,
        0.00342581,
        0.00337776,
        0.00325287,
        0.00316889,
        0.00378788,
        0.00392831,
        0.00437492,
        0.00452781,
        0.00435363,
        0.00443425,
        0.00428575,
        0.00411986,
        0.00378187,
        0.0034753,
        0.00343422,
        0.00342588,
        0.00326178,
        0.00322654,
        0.00292412,
        0.00290367,
        0.00317634,
        0.00337617,
        0.00336134,
        0.00316748,
        0.00302596,
        0.00287024,
        0.00277908,
        0.00290095,
        0.00303993,
        0.00313472,
        0.0031027,
        0.00328629,
        0.00350356,
        0.0034532,
        0.00331027,
        0.00314739,
        0.00338287,
        0.00347167,
        0.00334914,
        0.00312712,
        0.00330377,
        0.0034007,
        0.0034361,
        0.00370401,
        0.00417054,
        0.00393647,
        0.00341038,
        0.00330068,
        0.00338928,
        0.00337663,
        0.0035893,
        0.00354451,
        0.00320399,
        0.00319555,
        0.00325401,
        0.00341162,
        0.00358053,
        0.00340555,
        0.00323043,
        0.00325109,
        0.00321779,
        0.00321751,
        0.0034055,
        0.00350487,
        0.00360401,
        0.00388235,
        0.0037261,
        0.00376698,
        0.00386149,
        0.00399984,
        0.00403751,
        0.0037798,
        0.00400473,
        0.00395018,
        0.00397891,
        0.00379678,
        0.00411268,
        0.00401113,
        0.00389405,
        0.00412562,
        0.00469482,
        0.00524596,
        0.00497851,
        0.00474597,
        0.00467593,
        0.00465803,
        0.00547308,
        0.00575564,
        0.00608949,
        0.00669929,
        0.00806572,
        0.00947451,
        0.0117414,
        0.0111716,
        0.00910183,
        0.00854981,
        0.00711618,
        0.00655413,
        0.00598216,
        0.0057079,
        0.00522081,
        0.00536032,
        0.0044966,
        0.00495845,
        0.00478382,
        0.00448791,
        0.00397188,
        0.00382585,
        0.00371626,
        0.00361806,
        0.0038039,
        0.00350497,
        0.0034736,
        0.00370639,
        0.00381041,
        0.00409724,
        0.00410957,
        0.00388392,
        0.00357902,
        0.00353945,
        0.00337324,
        0.00324296,
        0.00335444,
        0.00328106,
        0.0033333,
        0.00338647,
        0.00316714,
        0.00306119,
        0.00313123,
        0.00323677,
        0.00329322,
        0.00338734,
        0.00349837,
        0.00354117,
        0.00369688,
        0.00383144,
        0.00394539,
        0.00421171,
        0.00479012,
        0.00494634,
        0.00524002,
        0.00521712,
        0.00437123,
        0.0039762,
        0.00381701,
        0.00349119,
        0.00330445,
        0.00324528,
        0.00348717,
        0.00375705,
        0.00363654,
        0.00333739,
        0.00319997,
        0.00328841,
        0.00349603,
        0.00381569,
        0.00444096,
        0.00500408,
        0.00529834,
        0.00528897,
        0.00483296,
        0.00435333,
        0.00396721,
        0.00355785,
        0.00330964,
        0.00344524,
        0.00337981,
        0.0031966,
        0.00311078,
        0.00312144,
        0.00325253,
        0.00303745,
        0.00317306,
        0.00301044,
        0.00290431,
        0.00304617,
        0.00322202,
        0.00349384,
        0.00361358,
        0.00344377,
        0.0034366,
        0.00367759,
        0.00394429,
        0.00393554,
        0.0035996,
        0.00322951,
        0.00319543,
        0.00350891,
        0.00329483,
        0.00325013,
        0.00301678,
        0.00291424,
        0.00301585,
        0.00298723,
        0.0031978,
        0.00337937,
        0.00320336,
        0.00314478,
        0.00327907,
        0.00326641,
        0.00302623,
        0.00320848,
        0.00313917,
        0.00312483,
        0.00338061,
        0.00324809,
        0.00328202,
        0.0031012,
        0.00314123,
        0.00306845,
        0.00336694,
        0.0033656,
        0.00371889,
        0.00381123,
        0.00353993,
        0.00350973,
        0.00332138,
        0.00328204,
        0.00338859,
        0.00340134,
        0.00356788,
        0.00368931,
        0.00373362,
        0.00376694,
        0.00393551,
        0.00376678,
        0.0036659,
        0.00358531,
        0.00356967,
        0.00351648,
        0.00359614,
        0.00369616,
        0.00367408,
        0.00356772,
        0.00351644,
        0.0035363,
        0.00349847,
        0.00345307,
        0.00342041,
        0.00350556,
        0.00379021,
        0.00388539,
        0.00405995,
        0.00415039,
        0.00391498,
        0.00400486,
        0.00408562,
        0.00443651,
        0.0047893,
        0.00482615,
        0.00522816,
        0.00620246,
        0.00644539,
        0.0071327,
        0.00863592,
        0.00954272,
        0.0113693,
        0.0143555,
        0.0148411,
        0.0109511,
        0.0092171,
        0.00723216,
        0.00701035,
        0.00630538,
        0.00620745,
        0.00571134,
        0.00551139,
        0.00585897,
        0.00534684,
        0.00561171,
        0.00535371,
        0.00591538,
        0.00629409,
        0.00687694,
        0.00787452,
        0.00781866,
        0.00699544,
        0.00634095,
        0.00533312,
        0.00475453,
        0.0043958,
        0.00414919,
        0.00489427,
        0.00520967,
        0.00486829,
        0.00452357,
        0.00456921,
        0.00472294,
        0.00472619,
        0.00466218,
        0.00501342,
        0.00551112,
        0.0055878,
        0.00570329,
        0.00529868,
        0.005344,
        0.00491518,
        0.00480805,
        0.00476204,
        0.00471352,
        0.00427677,
        0.00464801,
        0.00485866,
        0.00467311,
        0.0044111,
        0.00460002,
        0.00465576,
        0.00454459,
        0.00435077,
        0.00393911,
        0.00388321,
        0.00340524,
        0.00363185,
        0.0034625,
        0.0032989,
        0.00365397,
        0.00363056,
        0.00350841,
        0.00354632,
        0.00352532,
        0.00370681,
        0.00371044,
        0.00396974,
        0.00369746,
        0.00358314,
        0.0034612,
        0.00320722,
        0.00315164,
        0.00328067,
        0.00321871,
        0.00307805,
        0.00313047,
        0.00317706,
        0.00298582,
        0.00296464,
        0.00314456,
        0.00336803,
        0.00321513,
        0.00319909,
        0.00330991,
        0.00314654,
        0.00292806,
        0.00313092,
        0.00320561,
        0.00296937,
        0.00290696,
        0.00300274,
        0.00308664,
        0.00314187,
        0.00300783,
        0.0031224,
        0.00310192,
        0.00316889,
        0.00305384,
        0.00328229,
        0.00310529,
        0.00312618,
        0.00319473,
        0.00320088,
        0.003199,
        0.00302575,
        0.00322849,
        0.00322408,
        0.00341033,
        0.00308186,
        0.00309402,
        0.00347717,
        0.00321901,
        0.00341964,
        0.00339354,
        0.00358729,
        0.00350775,
        0.00358929,
        0.003374,
        0.00350156,
        0.00339643,
        0.00338908,
        0.00364445,
        0.00396698,
        0.00403776,
        0.00392227,
        0.00390861,
        0.0036076,
        0.00358057,
        0.00406597,
        0.00391984,
        0.00360727,
        0.00346696,
        0.00381213,
        0.00377672,
        0.00358967,
        0.00342578,
        0.00354412,
        0.0039287,
        0.00412902,
        0.00406661,
        0.00439366,
        0.00414339,
        0.00406187,
        0.00429868,
        0.00516521,
        0.0054065,
        0.00603426,
        0.00636699,
        0.00650563,
        0.00719505,
        0.0084851,
        0.00923138,
        0.0115972,
        0.0135414,
        0.0154361,
        0.0120161,
        0.00999538,
        0.00830415,
        0.00779198,
        0.00713446,
        0.00635654,
        0.00583387,
        0.00530189,
        0.00508544,
        0.00488183,
        0.00496525,
        0.00503464,
        0.00510478,
        0.00485647,
        0.00464123,
        0.00485852,
        0.00519914,
        0.00493095,
        0.00431582,
        0.00404918,
        0.0044954,
        0.0044298,
        0.00436154,
        0.00438225,
        0.00434328,
        0.00417563,
        0.00412743,
        0.0040654,
        0.00374126,
        0.00398442,
        0.00385431,
        0.00422547,
        0.00433618,
        0.00426084,
        0.00423874,
        0.0046591,
        0.0050314,
        0.00628177,
        0.00724225,
        0.00683415,
        0.0061445,
        0.00508421,
        0.00497523,
        0.00430101,
        0.00380115,
        0.00382885,
        0.00401832,
        0.00373328,
        0.00369567,
        0.00320701,
        0.00329495,
        0.00360834,
        0.00332216,
        0.00309442,
        0.00320966,
        0.00335588,
        0.00349621,
        0.00332197,
        0.00339863,
        0.00334071,
        0.00320719,
        0.00340345,
        0.00365012,
        0.00373073,
        0.00365225,
        0.00393212,
        0.00376541,
        0.00345289,
        0.00355362,
        0.00384874,
        0.00380913,
        0.00359616,
        0.0033077,
        0.00315502,
        0.00290642,
        0.00305028,
        0.00324319,
        0.00308538,
        0.00318336,
        0.00343819,
        0.00331259,
        0.00306039,
        0.0031349,
        0.00297408,
        0.00321718,
        0.00309558,
        0.00309059,
        0.00317157,
        0.00327692,
        0.00332266,
        0.00329897,
        0.00322695,
        0.00324811,
        0.00328725,
        0.00343338,
        0.0032864,
        0.00348805,
        0.00354237,
        0.0033104,
        0.00330491,
        0.00327373,
        0.00317705,
        0.0031947,
        0.00329275,
        0.00330844,
        0.00343604,
        0.00342354,
        0.00353805,
        null,
        0.00838757,
        0.00949341,
        0.00825939,
        0.00738009,
        0.00584363,
        0.00623987,
        0.00590807,
        0.00609678,
        0.00610993,
        0.00596709,
        0.00576155,
        0.00580594,
        0.00534484,
        0.00499279,
        0.00501788,
        0.00474381,
        0.00420106,
        0.00425442,
        0.00455474,
        0.00455798,
        0.00422764,
        0.00400132,
        0.00399052,
        0.00405913,
        0.00437427,
        0.00419341,
        0.00417869,
        0.00400374,
        0.00400169,
        0.00445967,
        0.00439107,
        0.00387334,
        0.00411748,
        0.00399766,
        0.00405471,
        0.0041645,
        0.00378539,
        0.00451814,
        0.00443514,
        0.00398066,
        0.00371945,
        0.00447266,
        0.00445362,
        0.00452039,
        0.00425565,
        0.00409806,
        0.00380322,
        0.00395722,
        0.00396556,
        0.00412678,
        0.00573871,
        0.00607357,
        0.00592737,
        0.0079029,
        0.00850285,
        0.00844697,
        0.010108,
        0.0113956,
        null,
        0.0151814,
        0.0128329,
        0.0115196,
        0.0114244,
        0.0107687,
        0.00972036,
        0.00899195,
        0.00908447,
        0.00897656,
        0.00897583,
        0.00908209,
        0.00847732,
        0.00987258,
        0.0100014,
        0.0100241,
        0.0101495,
        0.00981591,
        0.011134,
        null,
        0.00320907,
        0.00313512,
        0.00311171,
        0.00302602,
        0.00303125,
        0.00308994,
        0.00315919,
        0.00289296,
        0.00271876,
        0.00310312,
        0.00316519,
        0.00334572,
        0.00307261,
        0.00285724,
        0.00295333,
        0.00302751,
        0.00313368,
        0.0033237,
        0.0031212,
        0.00307576,
        0.00320773,
        0.00317058,
        0.00313732,
        0.0031581,
        0.00302723,
        0.00307047,
        0.00323073,
        0.00302494,
        0.00328181,
        0.00339002,
        0.00335134,
        0.00352693,
        0.0036768,
        0.00368992,
        0.00331822,
        0.00302344,
        0.00320463,
        0.00327353,
        0.00332452,
        0.00312442,
        0.00329779,
        0.00288353,
        0.00298894,
        0.00298532,
        0.00308537,
        0.00299726,
        0.00311291,
        0.00304757,
        0.00324696,
        0.00332856,
        0.00326213,
        0.00323155,
        0.00321705,
        0.00300828,
        0.00314997,
        0.00351113,
        0.00303654,
        0.00318431,
        0.00372598,
        0.00332589,
        0.00351992,
        0.00351071,
        0.00357929,
        0.00391069,
        0.00409084,
        0.00413025,
        0.00422802,
        0.00419271,
        0.00442213,
        0.00449965,
        0.00485175,
        0.00540432,
        0.00566563,
        0.00592665,
        0.00725672,
        0.007342,
        0.00817479,
        null,
        0.0105805,
        0.00927952,
        0.00804582,
        0.00705942,
        0.0065065,
        0.00638872,
        0.00634785,
        0.00634724,
        0.00556847,
        0.00540425,
        0.00498401,
        0.00484944,
        0.00467756,
        0.00440184,
        0.00452957,
        0.00458145,
        0.00454957,
        0.00467453,
        0.00484371,
        0.00479163,
        0.0044769,
        0.00444122,
        0.00447307,
        0.00420317,
        0.00402301,
        0.00388201,
        0.00375266,
        0.00358761,
        0.00356536,
        0.00373847,
        0.00402967,
        0.00381755,
        0.00375416,
        0.00374655,
        0.00343106,
        0.00319958,
        0.00296253,
        0.00306909,
        0.00338112,
        0.00325349,
        0.003517,
        0.00336446,
        0.00351533,
        0.00347263,
        0.00336453,
        0.00332795,
        0.00336103,
        0.00371599,
        0.00359047,
        0.00359707,
        0.0036547,
        0.00339042,
        0.00305925,
        0.00338366,
        0.00341527,
        0.00349115,
        0.00383639,
        0.00352817,
        0.00367549,
        0.00401659,
        0.0038518,
        0.00399381,
        0.00511953,
        0.00568816,
        0.0047856,
        0.00453598,
        0.00514097,
        0.00538238,
        0.00485231,
        0.00597026,
        0.00673489,
        0.00628903,
        0.00623061,
        0.00732334,
        0.00885768,
        0.0112868,
        0.0122566,
        0.0103455,
        0.00789103,
        0.00729865,
        0.0066273,
        0.00605489,
        0.0063293,
        0.00583362,
        0.00491104,
        0.0050351,
        0.00481465,
        0.00468332,
        0.00472251,
        0.0044343,
        0.00433742,
        0.00417707,
        0.00381843,
        0.00373083,
        0.00413533,
        0.00397938,
        0.0036068,
        0.00380747,
        0.00404941,
        0.003899,
        0.00402862,
        0.00394938,
        0.00389409,
        0.00376855,
        0.00382142,
        0.0038351,
        0.00420159,
        0.0044844,
        0.00373396,
        0.00406642,
        0.00390904,
        0.00421745,
        0.00405399,
        0.00392725,
        0.0038279,
        0.00375585,
        0.00398218,
        0.0039761,
        0.00395335,
        0.0041376,
        0.0043989,
        0.0049449,
        0.00469765,
        0.00492651,
        0.00553827,
        0.00519903,
        0.00583491,
        0.00597662,
        0.00623738,
        0.00681813,
        0.00683889,
        0.00719096,
        0.00887594,
        0.0109311,
        0.0109138,
        null,
        0.0100262,
        0.00879618,
        0.00780934,
        0.00668018,
        0.00596165,
        0.00504157,
        0.0053722,
        0.00538673,
        0.00449459,
        0.00457947,
        0.0047695,
        0.00427238,
        0.00417309,
        0.0041114,
        0.00392034,
        0.00397258,
        0.00380817,
        0.00372594,
        0.00367379,
        0.00359611,
        0.00378595,
        0.0036469,
        0.0035608,
        0.00350406,
        0.00365388,
        0.00335877,
        0.00344528,
        0.00348457,
        0.00341581,
        0.00331736,
        0.00322319,
        0.0032192,
        0.00319843,
        0.00316275,
        0.00305136,
        0.00340028,
        0.00326692,
        0.003426,
        0.0032082,
        0.003365,
        0.00338863,
        0.00349845,
        0.00352438,
        0.0036864,
        0.00342777,
        0.00314703,
        0.00335359,
        0.00306927,
        0.00317412,
        0.00334551,
        0.00321181,
        0.00318036,
        0.00309038,
        0.00312146,
        0.00322498,
        0.00340806,
        0.0034061,
        0.00338596,
        0.00331728,
        0.0033004,
        0.0033894,
        0.0033432,
        0.00339934,
        0.0033229,
        0.0033799,
        0.00321721,
        0.00298779,
        0.00310021,
        0.00311814,
        0.00296315,
        0.00292602,
        0.00304129,
        0.00319172,
        0.00327594,
        0.00318839,
        0.00313298,
        0.00299775,
        0.00307431,
        0.00293531,
        0.00287634,
        0.00287481,
        0.00291361,
        0.00294558,
        0.00311763,
        0.00308919,
        0.00310062,
        0.00333178,
        0.00359016,
        0.00332934,
        0.00309416,
        0.0033211,
        0.00308043,
        0.00295796,
        0.00320204,
        0.0029167,
        0.00283335,
        0.00289336,
        0.00284445,
        0.00278632,
        0.0027318,
        0.00276884,
        0.00296825,
        0.00284425,
        0.0027237,
        0.00265254,
        0.00262594,
        0.00348108,
        0.00308744,
        0.00301108,
        0.00270425,
        0.00328038,
        0.00374854,
        0.00382682,
        0.00313518,
        0.00278137,
        0.00287484,
        0.00285168,
        0.00288232,
        0.00276108,
        0.00282376,
        0.00285072,
        0.00312415,
        0.00317266,
        0.00352967,
        0.0031966,
        0.00335942,
        0.00336269,
        0.00320015,
        0.00336096,
        0.00355804,
        0.0036848,
        0.00373192,
        0.00384496,
        0.00357637,
        0.00354327,
        0.00386368,
        0.00398505,
        0.0041145,
        0.00398649,
        0.00458462,
        0.0047934,
        0.00447798,
        0.00485241,
        0.00519444,
        0.00526175,
        0.00539892,
        0.00577793,
        0.0066894,
        0.00646736,
        0.00748634,
        0.0080985,
        0.0087275,
        0.0105277,
        null,
        0.0109518,
        0.00952147,
        0.00917304,
        0.00816446,
        0.00728528,
        0.00754606,
        0.00670907,
        0.00598749,
        0.00582185,
        0.00571424,
        0.00517647,
        0.00513325,
        0.00464838,
        0.00441333,
        0.00441177,
        0.00408051,
        0.00393699,
        0.00373143,
        0.00383742,
        0.00375666,
        0.00378135,
        0.00303744,
        0.00298556,
        0.00340029,
        0.00363254,
        0.00347906,
        0.00328617,
        0.00329611,
        0.00311668,
        0.00298026,
        0.00291542,
        0.00326823,
        0.00303283,
        0.00307497,
        0.00302005,
        0.0027761,
        0.00281726,
        0.00283034,
        0.00263076,
        0.00276081,
        0.00285194,
        0.00281678,
        0.00247888,
        0.00258346,
        0.00267058,
        0.00256293,
        0.00304243,
        0.00265226,
        0.00304654,
        0.00343973,
        0.00310847,
        0.00296147,
        0.00298645,
        0.00296121,
        0.00298267,
        0.00297263,
        0.00295361,
        0.00321912,
        0.00301273,
        0.00293258,
        0.00327166,
        0.0030134,
        0.00304585,
        0.00321652,
        0.00312806,
        0.00285671,
        0.002777,
        0.00271191,
        0.00277274,
        0.00294612,
        0.00304303,
        0.00275389,
        0.00272873,
        0.00310191,
        0.00266528,
        0.00270141,
        0.00271696,
        0.0030451,
        0.00304332,
        0.0029529,
        0.002997,
        0.00304877,
        0.00271373,
        0.0029074,
        0.00295678,
        0.00290631,
        0.00333774,
        0.0029847,
        0.00302703,
        0.00304908,
        0.00337065,
        0.00327203,
        0.00313692,
        0.00313002,
        0.00290413,
        0.00300031,
        0.00332457,
        0.00314549,
        0.0032477,
        0.00308933,
        0.00309083,
        0.00326104,
        0.00309213,
        0.00308871,
        0.00332768,
        0.00341372,
        0.00327362,
        0.00343598,
        0.00333296,
        0.00370455,
        0.00368781,
        0.00388339,
        0.00372427,
        0.00319799,
        0.00325865,
        0.003523,
        0.0035221,
        0.0030567,
        0.00313428,
        0.00344577,
        0.00344109,
        0.00341253,
        0.00295241,
        0.00308735,
        0.00346622,
        0.00325195,
        0.00307226,
        0.00306538,
        0.00313857,
        0.00301541,
        0.00311272,
        0.00322184,
        0.00307648,
        0.00319248,
        0.00317952,
        0.00353685,
        0.00341288,
        0.00357923,
        0.00392788,
        0.00357681,
        0.00397272,
        0.00386064,
        0.00383931,
        0.00396656,
        0.00364728,
        0.00417893,
        0.0047354,
        0.0050314,
        0.00485484,
        0.00561686,
        0.00626904,
        0.00603576,
        0.0065766,
        0.00673044,
        0.00836217,
        null,
        0.00919037,
        0.00811433,
        0.00763721,
        0.00752985,
        0.0064848,
        0.00597949,
        0.00534483,
        0.00517283,
        0.00561403,
        0.00517412,
        0.00438225,
        0.0041208,
        0.00422982,
        0.00460339,
        0.00457193,
        0.00412034,
        0.00441982,
        0.00417491,
        0.0038979,
        0.00372514,
        0.00382485,
        0.00352734,
        0.0037966,
        0.0037484,
        0.00359966,
        0.00343051,
        0.00327652,
        0.0033911,
        0.00340224,
        0.00321496,
        0.00388652,
        0.00368078,
        0.00377382,
        0.00359558,
        0.00363041,
        0.00364402,
        0.00351955,
        0.0036762,
        0.00390411,
        0.00361945,
        0.00326564,
        0.00350537,
        0.00352034,
        0.0030166,
        0.00296047,
        0.00295805,
        0.00303973,
        0.0031744,
        0.00315394,
        0.00288582,
        0.00287635,
        0.0028384,
        0.00281746,
        null,
        null,
        0.00286527,
        0.00289112,
        0.00323166,
        0.0031016,
        0.00335569,
        0.00325184,
        0.00329787,
        0.00328052,
        0.00336768,
        0.00361046,
        null,
        0.00553789,
        0.00534413,
        0.00499889,
        0.00538942,
        0.0065794,
        0.00674834,
        0.00725581,
        0.0083059,
        0.0097449,
        0.0104463,
        0.0111749,
        0.00867515,
        0.00829706,
        0.00665588,
        0.00673992,
        0.00682761,
        0.00586286,
        0.0054335,
        0.00540028,
        0.00531795,
        0.00516497,
        0.00440668,
        0.00385199,
        0.00329456,
        0.00330877,
        0.00330814,
        0.00322648,
        0.00319842,
        0.00320742,
        0.00332975,
        0.00310982,
        0.00301037,
        0.003467,
        0.00312724,
        0.0034164,
        0.00328043,
        0.003077,
        0.00303529,
        0.00315421,
        0.00301201,
        0.00308132,
        0.00296029,
        0.00336789,
        0.00355772,
        0.00361102,
        0.00320393,
        0.00343423,
        0.00338109,
        0.00317974,
        0.00294726,
        0.00302313,
        0.00325125,
        0.00332723,
        0.00323093,
        0.00328144,
        0.00317323,
        0.00318898,
        0.00339638,
        0.00313591,
        0.00332834,
        0.00338185,
        0.00353105,
        0.00346174,
        0.00331797,
        0.00344906,
        0.00336441,
        0.00332438,
        0.00342297,
        0.00376662,
        0.00376143,
        0.00340317,
        0.00304639,
        0.00316656,
        0.00311846,
        0.00291983,
        0.00296994,
        0.00333456,
        0.00316407,
        0.00337362,
        0.00313516,
        0.00318416,
        0.00320245,
        0.00304437,
        0.00307347,
        0.00299483,
        0.00295989,
        0.00299116,
        0.00310467
    ]
}